{"id":1,"expression_no_base_symbol":"(($1216$↬$8353$↛⩡⫤)⨎((⪲⇎$1372$)⇼⇔∾($1748$%$4302$)))⨟⋌⩍((≉$3059$)⋷($3660$⩠)⪨≂($5384$∑⇟⊟$1418$)⪘⫢($3371$≣⋋))","expression":"((≮⫘↔10011000000↬≮⫘↔10000010100001↛⩡⫤)⨎((⪲⇎≮⫘↔10101011100)⇼⇔∾(≮⫘↔11011010100%≮⫘↔1000011001110)))⨟⋌⩍((≉≮⫘↔101111110011)⋷(≮⫘↔111001001100⩠)⪨≂(≮⫘↔1010100001000∑⇟⊟≮⫘↔10110001010)⪘⫢(≮⫘↔110100101011≣⋋))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":623,"operation_count":14,"complexity_ratio":44.5,"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":1216,"base":2},"right_expr":{"type":"numeric_atoms","value":8353,"base":2}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1372,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1748,"base":2},"right_expr":{"type":"numeric_atoms","value":4302,"base":2}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3059,"base":2}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3660,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5384,"base":2},"right_expr":{"type":"numeric_atoms","value":1418,"base":2}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3371,"base":2}}}}},"used_operators":["rGHVDoGpnC","rJVOvQCfKK","FU0Cs4j7VP","B5M0gjZbta","tifHPKVTfV","XPYlsWDdGa","k8jYdgA6NY","sdazOOVcIp","23Mk6UjR3U","e1ybzncUwg","sJAwomhLZr","oacrs7FA3X","U7g4x0WXJJ","Tcnh7f0tEr"],"dependent_operators":["Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1216","layer":4},{"info":"number node, value=8353","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=8353, 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 = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":2},{"info":"number node, value=1372","layer":4},{"info":"compute unary expreesion, input=1372, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2744","layer":3},{"info":"number node, value=1748","layer":4},{"info":"number node, value=4302","layer":4},{"info":"compute binary expreesion, left_input=1748, right_input=4302, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1748","layer":3},{"info":"compute binary expreesion, left_input=2744, right_input=1748, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-996","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-996, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-996","layer":1},{"info":"number node, value=3059","layer":4},{"info":"compute unary expreesion, input=3059, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3590","layer":3},{"info":"number node, value=3660","layer":4},{"info":"compute unary expreesion, input=3660, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3590, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3590","layer":2},{"info":"number node, value=5384","layer":4},{"info":"number node, value=1418","layer":4},{"info":"compute binary expreesion, left_input=5384, right_input=1418, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3371","layer":4},{"info":"compute unary expreesion, input=3371, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, 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":"compute binary expreesion, left_input=-3590, 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=-996, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10011000000↬≮⫘↔10000010100001↛⩡⫤)⨎((⪲⇎≮⫘↔10101011100)⇼⇔∾(≮⫘↔11011010100%≮⫘↔1000011001110)))⨟⋌⩍((≉≮⫘↔101111110011)⋷(≮⫘↔111001001100⩠)⪨≂(≮⫘↔1010100001000∑⇟⊟≮⫘↔10110001010)⪘⫢(≮⫘↔110100101011≣⋋))=NaN","reverse_text":"NaN=((≮⫘↔10011000000↬≮⫘↔10000010100001↛⩡⫤)⨎((⪲⇎≮⫘↔10101011100)⇼⇔∾(≮⫘↔11011010100%≮⫘↔1000011001110)))⨟⋌⩍((≉≮⫘↔101111110011)⋷(≮⫘↔111001001100⩠)⪨≂(≮⫘↔1010100001000∑⇟⊟≮⫘↔10110001010)⪘⫢(≮⫘↔110100101011≣⋋))","cot":[{"info":"≮⫘↔10011000000↬≮⫘↔10000010100001=NaN","layer":3},{"info":"NaN↛⩡⫤=NaN","layer":2},{"info":"⪲⇎≮⫘↔10101011100=≮⫘↔101010111000","layer":3},{"info":"≮⫘↔11011010100%≮⫘↔1000011001110=≮⫘↔11011010100","layer":3},{"info":"≮⫘↔101010111000⇼⇔∾≮⫘↔11011010100=≮⫘↔-1111100100","layer":2},{"info":"NaN⨎≮⫘↔-1111100100=≮⫘↔-1111100100","layer":1},{"info":"≉≮⫘↔101111110011=≮⫘↔111000000110","layer":3},{"info":"≮⫘↔111001001100⩠=≮⫘↔0","layer":3},{"info":"≮⫘↔111000000110⋷≮⫘↔0=≮⫘↔-111000000110","layer":2},{"info":"≮⫘↔1010100001000∑⇟⊟≮⫘↔10110001010=NaN","layer":3},{"info":"≮⫘↔110100101011≣⋋=≮⫘↔0","layer":3},{"info":"NaN⪘⫢≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔-111000000110⪨≂NaN=NaN","layer":1},{"info":"≮⫘↔-1111100100⨟⋌⩍NaN=NaN","layer":0}]}
{"id":2,"expression_no_base_symbol":"((⊄⩳↩$2332$)⩨($3096$∸)≋⫹)⊴(($2465$⪨≂$2149$)⊴($7416$∑⇟⊟$1466$))≹⇙⪍(⫓⪴(≉$1320$))","expression":"((⊄⩳↩≮⫘↔100100011100)⩨(≮⫘↔110000011000∸)≋⫹)⊴((≮⫘↔100110100001⪨≂≮⫘↔100001100101)⊴(≮⫘↔1110011111000∑⇟⊟≮⫘↔10110111010))≹⇙⪍(⫓⪴(≉≮⫘↔10100101000))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2061,"operation_count":11,"complexity_ratio":187.36363636363637,"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":2332,"base":2}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3096,"base":2}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2465,"base":2},"right_expr":{"type":"numeric_atoms","value":2149,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7416,"base":2},"right_expr":{"type":"numeric_atoms","value":1466,"base":2}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1320,"base":2}}}}},"used_operators":["Nsiff2A1zJ","N41Kp7NANJ","2DlMacCsIx","8w2t5hMYqp","o20kRiQErp","AHs5Up7iyr","sdazOOVcIp","U7g4x0WXJJ","eLxqMNBOBk","e1ybzncUwg"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2332","layer":4},{"info":"compute unary expreesion, input=2332, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6996","layer":3},{"info":"number node, value=3096","layer":4},{"info":"compute unary expreesion, input=3096, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-6996, right_input=177, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"compute unary expreesion, input=3, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6","layer":1},{"info":"number node, value=2465","layer":4},{"info":"number node, value=2149","layer":4},{"info":"compute binary expreesion, left_input=2465, right_input=2149, 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=734","layer":3},{"info":"number node, value=7416","layer":4},{"info":"number node, value=1466","layer":4},{"info":"compute binary expreesion, left_input=7416, right_input=1466, 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=734, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1320","layer":4},{"info":"compute unary expreesion, input=1320, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1851","layer":3},{"info":"compute unary expreesion, input=1851, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=3426201","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3426201, 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=-6, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⊄⩳↩≮⫘↔100100011100)⩨(≮⫘↔110000011000∸)≋⫹)⊴((≮⫘↔100110100001⪨≂≮⫘↔100001100101)⊴(≮⫘↔1110011111000∑⇟⊟≮⫘↔10110111010))≹⇙⪍(⫓⪴(≉≮⫘↔10100101000))=NaN","reverse_text":"NaN=((⊄⩳↩≮⫘↔100100011100)⩨(≮⫘↔110000011000∸)≋⫹)⊴((≮⫘↔100110100001⪨≂≮⫘↔100001100101)⊴(≮⫘↔1110011111000∑⇟⊟≮⫘↔10110111010))≹⇙⪍(⫓⪴(≉≮⫘↔10100101000))","cot":[{"info":"⊄⩳↩≮⫘↔100100011100=≮⫘↔-1101101010100","layer":3},{"info":"≮⫘↔110000011000∸=≮⫘↔10110001","layer":3},{"info":"≮⫘↔-1101101010100⩨≮⫘↔10110001=≮⫘↔11","layer":2},{"info":"≮⫘↔11≋⫹=≮⫘↔-110","layer":1},{"info":"≮⫘↔100110100001⪨≂≮⫘↔100001100101=≮⫘↔1011011110","layer":3},{"info":"≮⫘↔1110011111000∑⇟⊟≮⫘↔10110111010=NaN","layer":3},{"info":"≮⫘↔1011011110⊴NaN=NaN","layer":2},{"info":"≉≮⫘↔10100101000=≮⫘↔11100111011","layer":3},{"info":"⫓⪴≮⫘↔11100111011=≮⫘↔1101000100011110011001","layer":2},{"info":"NaN≹⇙⪍≮⫘↔1101000100011110011001=NaN","layer":1},{"info":"≮⫘↔-110⊴NaN=NaN","layer":0}]}
{"id":3,"expression_no_base_symbol":"(⋗⩬⋾(⊥($4315$⇼⇔∾$4326$)))↺(≦∁$6802$⩷∴$6227$)⩷∴($1753$+$2632$)⪮%⊝(+⊝⨔$2121$)","expression":"(⋗⩬⋾(⊥(≮⫘↔1000011011011⇼⇔∾≮⫘↔1000011100110)))↺(≦∁≮⫘↔1101010010010⩷∴≮⫘↔1100001010011)⩷∴(≮⫘↔11011011001+≮⫘↔101001001000)⪮%⊝(+⊝⨔≮⫘↔100001001001)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":257,"operation_count":10,"complexity_ratio":25.7,"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":4315,"base":2},"right_expr":{"type":"numeric_atoms","value":4326,"base":2}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6802,"base":2},"right_expr":{"type":"numeric_atoms","value":6227,"base":2}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1753,"base":2},"right_expr":{"type":"numeric_atoms","value":2632,"base":2}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2121,"base":2}}}}},"used_operators":["7j4O788W3g","DpFCA1CohY","Q3PJZHRvZv","tifHPKVTfV","9FxExcQeMw","9ICcGScMcE","IWmyXbctLI","W4YGzv6Whe","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"≮⫘↔-11111001100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4315","layer":4},{"info":"number node, value=4326","layer":4},{"info":"compute binary expreesion, left_input=4315, right_input=4326, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=11","layer":3},{"info":"compute unary expreesion, input=11, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-14","layer":2},{"info":"compute unary expreesion, input=-14, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=42","layer":1},{"info":"number node, value=6802","layer":4},{"info":"number node, value=6227","layer":4},{"info":"compute binary expreesion, left_input=6802, right_input=6227, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1118","layer":3},{"info":"compute unary expreesion, input=1118, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1118","layer":2},{"info":"number node, value=1753","layer":4},{"info":"number node, value=2632","layer":4},{"info":"compute binary expreesion, left_input=1753, right_input=2632, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4385","layer":3},{"info":"number node, value=2121","layer":4},{"info":"compute unary expreesion, input=2121, 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=4385, right_input=1522, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9086","layer":2},{"info":"compute binary expreesion, left_input=1118, right_input=9086, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-15968","layer":1},{"info":"compute binary expreesion, left_input=42, right_input=-15968, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-15968","layer":0}],"base":2,"result_base":2,"text":"(⋗⩬⋾(⊥(≮⫘↔1000011011011⇼⇔∾≮⫘↔1000011100110)))↺(≦∁≮⫘↔1101010010010⩷∴≮⫘↔1100001010011)⩷∴(≮⫘↔11011011001+≮⫘↔101001001000)⪮%⊝(+⊝⨔≮⫘↔100001001001)=≮⫘↔-11111001100000","reverse_text":"≮⫘↔-11111001100000=(⋗⩬⋾(⊥(≮⫘↔1000011011011⇼⇔∾≮⫘↔1000011100110)))↺(≦∁≮⫘↔1101010010010⩷∴≮⫘↔1100001010011)⩷∴(≮⫘↔11011011001+≮⫘↔101001001000)⪮%⊝(+⊝⨔≮⫘↔100001001001)","cot":[{"info":"≮⫘↔1000011011011⇼⇔∾≮⫘↔1000011100110=≮⫘↔1011","layer":3},{"info":"⊥≮⫘↔1011=≮⫘↔-1110","layer":2},{"info":"⋗⩬⋾≮⫘↔-1110=≮⫘↔101010","layer":1},{"info":"≮⫘↔1101010010010⩷∴≮⫘↔1100001010011=≮⫘↔10001011110","layer":3},{"info":"≦∁≮⫘↔10001011110=≮⫘↔10001011110","layer":2},{"info":"≮⫘↔11011011001+≮⫘↔101001001000=≮⫘↔1000100100001","layer":3},{"info":"+⊝⨔≮⫘↔100001001001=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔1000100100001⪮%⊝≮⫘↔10111110010=≮⫘↔10001101111110","layer":2},{"info":"≮⫘↔10001011110⩷∴≮⫘↔10001101111110=≮⫘↔-11111001100000","layer":1},{"info":"≮⫘↔101010↺≮⫘↔-11111001100000=≮⫘↔-11111001100000","layer":0}]}
{"id":4,"expression_no_base_symbol":"↔(∥⊫($1364$≫≃)∑⇟⊟$3643$⪮%⊝$4791$)","expression":"↔(∥⊫(≮⫘↔10101010100≫≃)∑⇟⊟≮⫘↔111000111011⪮%⊝≮⫘↔1001010110111)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":42,"operation_count":5,"complexity_ratio":8.4,"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":1364,"base":2}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3643,"base":2},"right_expr":{"type":"numeric_atoms","value":4791,"base":2}}}}},"used_operators":["ruOEQAzv1W","P8v4zCKN1o","U7g4x0WXJJ","X99M06cbEe","IWmyXbctLI"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"≮⫘↔-10000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1364","layer":4},{"info":"compute unary expreesion, input=1364, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4129","layer":3},{"info":"number node, value=3643","layer":4},{"info":"number node, value=4791","layer":4},{"info":"compute binary expreesion, left_input=3643, right_input=4791, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7602","layer":3},{"info":"compute binary expreesion, left_input=4129, right_input=7602, 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 = 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":2,"result_base":2,"text":"↔(∥⊫(≮⫘↔10101010100≫≃)∑⇟⊟≮⫘↔111000111011⪮%⊝≮⫘↔1001010110111)=≮⫘↔-10000110","reverse_text":"≮⫘↔-10000110=↔(∥⊫(≮⫘↔10101010100≫≃)∑⇟⊟≮⫘↔111000111011⪮%⊝≮⫘↔1001010110111)","cot":[{"info":"≮⫘↔10101010100≫≃=≮⫘↔1000000100001","layer":3},{"info":"≮⫘↔111000111011⪮%⊝≮⫘↔1001010110111=≮⫘↔1110110110010","layer":3},{"info":"≮⫘↔1000000100001∑⇟⊟≮⫘↔1110110110010=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"↔NaN=≮⫘↔-10000110","layer":0}]}
{"id":5,"expression_no_base_symbol":"((($6427$+$4468$)⨸⪁($6910$∸))⨁⊸⫻)%(($1060$⊴$3835$*$5051$+⇶⊼$3423$)⇋≉)","expression":"(((≮⫘↔1100100011011+≮⫘↔1000101110100)⨸⪁(≮⫘↔1101011111110∸))⨁⊸⫻)%((≮⫘↔10000100100⊴≮⫘↔111011111011*≮⫘↔1001110111011+⇶⊼≮⫘↔110101011111)⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4029,"operation_count":9,"complexity_ratio":447.6666666666667,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6427,"base":2},"right_expr":{"type":"numeric_atoms","value":4468,"base":2}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":6910,"base":2}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1060,"base":2},"right_expr":{"type":"numeric_atoms","value":3835,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5051,"base":2},"right_expr":{"type":"numeric_atoms","value":3423,"base":2}}}}},"used_operators":["k8jYdgA6NY","glklzrTFfD","g55IO6H4Gj","W4YGzv6Whe","o20kRiQErp","XIabStNQrY","9HNa5Wba9A","Nsiff2A1zJ","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6427","layer":4},{"info":"number node, value=4468","layer":4},{"info":"compute binary expreesion, left_input=6427, right_input=4468, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10895","layer":3},{"info":"number node, value=6910","layer":4},{"info":"compute unary expreesion, input=6910, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=10895, right_input=177, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=22144","layer":2},{"info":"compute unary expreesion, input=22144, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=22144","layer":1},{"info":"number node, value=1060","layer":4},{"info":"number node, value=3835","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=3835, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5051","layer":4},{"info":"number node, value=3423","layer":4},{"info":"compute binary expreesion, left_input=5051, right_input=3423, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=22144, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1100100011011+≮⫘↔1000101110100)⨸⪁(≮⫘↔1101011111110∸))⨁⊸⫻)%((≮⫘↔10000100100⊴≮⫘↔111011111011*≮⫘↔1001110111011+⇶⊼≮⫘↔110101011111)⇋≉)=NaN","reverse_text":"NaN=(((≮⫘↔1100100011011+≮⫘↔1000101110100)⨸⪁(≮⫘↔1101011111110∸))⨁⊸⫻)%((≮⫘↔10000100100⊴≮⫘↔111011111011*≮⫘↔1001110111011+⇶⊼≮⫘↔110101011111)⇋≉)","cot":[{"info":"≮⫘↔1100100011011+≮⫘↔1000101110100=≮⫘↔10101010001111","layer":3},{"info":"≮⫘↔1101011111110∸=≮⫘↔10110001","layer":3},{"info":"≮⫘↔10101010001111⨸⪁≮⫘↔10110001=≮⫘↔101011010000000","layer":2},{"info":"≮⫘↔101011010000000⨁⊸⫻=≮⫘↔101011010000000","layer":1},{"info":"≮⫘↔10000100100⊴≮⫘↔111011111011=NaN","layer":3},{"info":"≮⫘↔1001110111011+⇶⊼≮⫘↔110101011111=NaN","layer":3},{"info":"NaN*NaN=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"≮⫘↔101011010000000%NaN=NaN","layer":0}]}
{"id":6,"expression_no_base_symbol":"($1894$⊴$5644$⩤)∀⇚≩(($3404$⩠)⪨≂$4661$⋓$1238$)∑⇟⊟(($1409$≹⇙⪍$1868$⊉≛↸(⊄⩳↩$1993$))≎⊠⪸($5602$⋓$3574$∲⫓($1236$⩤)))","expression":"(≮⫘↔11101100110⊴≮⫘↔1011000001100⩤)∀⇚≩((≮⫘↔110101001100⩠)⪨≂≮⫘↔1001000110101⋓≮⫘↔10011010110)∑⇟⊟((≮⫘↔10110000001≹⇙⪍≮⫘↔11101001100⊉≛↸(⊄⩳↩≮⫘↔11111001001))≎⊠⪸(≮⫘↔1010111100010⋓≮⫘↔110111110110∲⫓(≮⫘↔10011010100⩤)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5722,"operation_count":14,"complexity_ratio":408.7142857142857,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1894,"base":2},"right_expr":{"type":"numeric_atoms","value":5644,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3404,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4661,"base":2},"right_expr":{"type":"numeric_atoms","value":1238,"base":2}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1409,"base":2},"right_expr":{"type":"numeric_atoms","value":1868,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1993,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5602,"base":2},"right_expr":{"type":"numeric_atoms","value":3574,"base":2}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1236,"base":2}}}}},"used_operators":["U7g4x0WXJJ","LRNGc0VcxI","Z2TMIBDE3Q","Nsiff2A1zJ","sdazOOVcIp","sJAwomhLZr","T2fj7uvVaJ","bJkvcejdHO","DZ8iAZOCBD","AHs5Up7iyr","8w2t5hMYqp","i8ToyICDmI"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1894","layer":4},{"info":"number node, value=5644","layer":4},{"info":"compute binary expreesion, left_input=1894, right_input=5644, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":2},{"info":"number node, value=3404","layer":4},{"info":"compute unary expreesion, input=3404, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=4661","layer":4},{"info":"number node, value=1238","layer":4},{"info":"compute binary expreesion, left_input=4661, right_input=1238, 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 = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=102","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=102, 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=1409","layer":4},{"info":"number node, value=1868","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=1868, 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=1993","layer":4},{"info":"compute unary expreesion, input=1993, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5979","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5979, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"number node, value=5602","layer":4},{"info":"number node, value=3574","layer":4},{"info":"compute binary expreesion, left_input=5602, right_input=3574, 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=1236","layer":4},{"info":"compute unary expreesion, input=1236, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1236","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1236, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=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":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11101100110⊴≮⫘↔1011000001100⩤)∀⇚≩((≮⫘↔110101001100⩠)⪨≂≮⫘↔1001000110101⋓≮⫘↔10011010110)∑⇟⊟((≮⫘↔10110000001≹⇙⪍≮⫘↔11101001100⊉≛↸(⊄⩳↩≮⫘↔11111001001))≎⊠⪸(≮⫘↔1010111100010⋓≮⫘↔110111110110∲⫓(≮⫘↔10011010100⩤)))=NaN","reverse_text":"NaN=(≮⫘↔11101100110⊴≮⫘↔1011000001100⩤)∀⇚≩((≮⫘↔110101001100⩠)⪨≂≮⫘↔1001000110101⋓≮⫘↔10011010110)∑⇟⊟((≮⫘↔10110000001≹⇙⪍≮⫘↔11101001100⊉≛↸(⊄⩳↩≮⫘↔11111001001))≎⊠⪸(≮⫘↔1010111100010⋓≮⫘↔110111110110∲⫓(≮⫘↔10011010100⩤)))","cot":[{"info":"≮⫘↔11101100110⊴≮⫘↔1011000001100=NaN","layer":3},{"info":"NaN⩤=NaN","layer":2},{"info":"≮⫘↔110101001100⩠=≮⫘↔0","layer":3},{"info":"≮⫘↔1001000110101⋓≮⫘↔10011010110=≮⫘↔0","layer":3},{"info":"≮⫘↔0⪨≂≮⫘↔0=≮⫘↔1100110","layer":2},{"info":"NaN∀⇚≩≮⫘↔1100110=NaN","layer":1},{"info":"≮⫘↔10110000001≹⇙⪍≮⫘↔11101001100=NaN","layer":3},{"info":"⊄⩳↩≮⫘↔11111001001=≮⫘↔-1011101011011","layer":3},{"info":"NaN⊉≛↸≮⫘↔-1011101011011=NaN","layer":2},{"info":"≮⫘↔1010111100010⋓≮⫘↔110111110110=≮⫘↔0","layer":3},{"info":"≮⫘↔10011010100⩤=≮⫘↔-10011010100","layer":3},{"info":"≮⫘↔0∲⫓≮⫘↔-10011010100=≮⫘↔0","layer":2},{"info":"NaN≎⊠⪸≮⫘↔0=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":7,"expression_no_base_symbol":"(⊄⩳↩($2722$-$8574$))⋓($3913$⪢$2335$⊭↱$4686$⋳⪒$1166$)-(⨈⫕($3223$⪨≂$2497$))⫥∨⫟($2141$∼$5151$⋫)","expression":"(⊄⩳↩(≮⫘↔101010100010-≮⫘↔10000101111110))⋓(≮⫘↔111101001001⪢≮⫘↔100100011111⊭↱≮⫘↔1001001001110⋳⪒≮⫘↔10010001110)-(⨈⫕(≮⫘↔110010010111⪨≂≮⫘↔100111000001))⫥∨⫟(≮⫘↔100001011101∼≮⫘↔1010000011111⋫)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3996,"operation_count":12,"complexity_ratio":333.0,"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":2722,"base":2},"right_expr":{"type":"numeric_atoms","value":8574,"base":2}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3913,"base":2},"right_expr":{"type":"numeric_atoms","value":2335,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4686,"base":2},"right_expr":{"type":"numeric_atoms","value":1166,"base":2}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3223,"base":2},"right_expr":{"type":"numeric_atoms","value":2497,"base":2}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2141,"base":2},"right_expr":{"type":"numeric_atoms","value":5151,"base":2}}}}},"used_operators":["rysDP5nf3Z","T2fj7uvVaJ","8w2t5hMYqp","COABgblf1C","dWAJyo7jo9","12rbrZMWeM","KYD54nUTWz","megm06wKyl","sdazOOVcIp","JL8yIekQnl","DyGG3AbaNP"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2722","layer":4},{"info":"number node, value=8574","layer":4},{"info":"compute binary expreesion, left_input=2722, right_input=8574, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5852","layer":3},{"info":"compute unary expreesion, input=-5852, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=17556","layer":2},{"info":"number node, value=3913","layer":4},{"info":"number node, value=2335","layer":4},{"info":"compute binary expreesion, left_input=3913, right_input=2335, 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=4686","layer":4},{"info":"number node, value=1166","layer":4},{"info":"compute binary expreesion, left_input=4686, right_input=1166, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7919","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7919, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=17556, 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":1},{"info":"number node, value=3223","layer":4},{"info":"number node, value=2497","layer":4},{"info":"compute binary expreesion, left_input=3223, right_input=2497, 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=1554","layer":3},{"info":"compute unary expreesion, input=1554, 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=2141","layer":4},{"info":"number node, value=5151","layer":4},{"info":"compute binary expreesion, left_input=2141, right_input=5151, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊄⩳↩(≮⫘↔101010100010-≮⫘↔10000101111110))⋓(≮⫘↔111101001001⪢≮⫘↔100100011111⊭↱≮⫘↔1001001001110⋳⪒≮⫘↔10010001110)-(⨈⫕(≮⫘↔110010010111⪨≂≮⫘↔100111000001))⫥∨⫟(≮⫘↔100001011101∼≮⫘↔1010000011111⋫)=NaN","reverse_text":"NaN=(⊄⩳↩(≮⫘↔101010100010-≮⫘↔10000101111110))⋓(≮⫘↔111101001001⪢≮⫘↔100100011111⊭↱≮⫘↔1001001001110⋳⪒≮⫘↔10010001110)-(⨈⫕(≮⫘↔110010010111⪨≂≮⫘↔100111000001))⫥∨⫟(≮⫘↔100001011101∼≮⫘↔1010000011111⋫)","cot":[{"info":"≮⫘↔101010100010-≮⫘↔10000101111110=≮⫘↔-1011011011100","layer":3},{"info":"⊄⩳↩≮⫘↔-1011011011100=≮⫘↔100010010010100","layer":2},{"info":"≮⫘↔111101001001⪢≮⫘↔100100011111=NaN","layer":3},{"info":"≮⫘↔1001001001110⋳⪒≮⫘↔10010001110=≮⫘↔1111011101111","layer":3},{"info":"NaN⊭↱≮⫘↔1111011101111=NaN","layer":2},{"info":"≮⫘↔100010010010100⋓NaN=NaN","layer":1},{"info":"≮⫘↔110010010111⪨≂≮⫘↔100111000001=≮⫘↔11000010010","layer":3},{"info":"⨈⫕≮⫘↔11000010010=≮⫘↔-10101","layer":2},{"info":"≮⫘↔100001011101∼≮⫘↔1010000011111=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"≮⫘↔-10101⫥∨⫟NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":8,"expression_no_base_symbol":"↥($6362$≭$6490$≎⊠⪸($6572$⇼⇔∾$2261$)↺($2766$⩤)⨓($1915$⨐⩸⫘$1977$))","expression":"↥(≮⫘↔1100011011010≭≮⫘↔1100101011010≎⊠⪸(≮⫘↔1100110101100⇼⇔∾≮⫘↔100011010101)↺(≮⫘↔101011001110⩤)⨓(≮⫘↔11101111011⨐⩸⫘≮⫘↔11110111001))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":26,"operation_count":8,"complexity_ratio":3.25,"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":6362,"base":2},"right_expr":{"type":"numeric_atoms","value":6490,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6572,"base":2},"right_expr":{"type":"numeric_atoms","value":2261,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2766,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1915,"base":2},"right_expr":{"type":"numeric_atoms","value":1977,"base":2}}}}},"used_operators":["A8NUZmVepG","7j4O788W3g","bJkvcejdHO","rxpJgHHUmx","tifHPKVTfV","3ViojmjbAp","Z2TMIBDE3Q","fu6greOZ01"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6362","layer":4},{"info":"number node, value=6490","layer":4},{"info":"compute binary expreesion, left_input=6362, right_input=6490, 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=6572","layer":4},{"info":"number node, value=2261","layer":4},{"info":"compute binary expreesion, left_input=6572, right_input=2261, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4311","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4311, 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=2766","layer":4},{"info":"compute unary expreesion, input=2766, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2766","layer":3},{"info":"number node, value=1915","layer":4},{"info":"number node, value=1977","layer":4},{"info":"compute binary expreesion, left_input=1915, right_input=1977, 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=-2766, 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=67, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↥(≮⫘↔1100011011010≭≮⫘↔1100101011010≎⊠⪸(≮⫘↔1100110101100⇼⇔∾≮⫘↔100011010101)↺(≮⫘↔101011001110⩤)⨓(≮⫘↔11101111011⨐⩸⫘≮⫘↔11110111001))=NaN","reverse_text":"NaN=↥(≮⫘↔1100011011010≭≮⫘↔1100101011010≎⊠⪸(≮⫘↔1100110101100⇼⇔∾≮⫘↔100011010101)↺(≮⫘↔101011001110⩤)⨓(≮⫘↔11101111011⨐⩸⫘≮⫘↔11110111001))","cot":[{"info":"≮⫘↔1100011011010≭≮⫘↔1100101011010=NaN","layer":3},{"info":"≮⫘↔1100110101100⇼⇔∾≮⫘↔100011010101=≮⫘↔-1000011010111","layer":3},{"info":"NaN≎⊠⪸≮⫘↔-1000011010111=≮⫘↔1000011","layer":2},{"info":"≮⫘↔101011001110⩤=≮⫘↔-101011001110","layer":3},{"info":"≮⫘↔11101111011⨐⩸⫘≮⫘↔11110111001=NaN","layer":3},{"info":"≮⫘↔-101011001110⨓NaN=NaN","layer":2},{"info":"≮⫘↔1000011↺NaN=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":9,"expression_no_base_symbol":"((⨵≀≌(⨈⫕$1379$))⋥≓≎(≉(⇁⨣⪵$1957$)))⨓(($1016$⋝⋈⪟$1461$≭($3067$*$1398$))⋝⋈⪟($1082$≭$1901$)⊴$3177$≹⇙⪍$1583$)","expression":"((⨵≀≌(⨈⫕≮⫘↔10101100011))⋥≓≎(≉(⇁⨣⪵≮⫘↔11110100101)))⨓((≮⫘↔1111111000⋝⋈⪟≮⫘↔10110110101≭(≮⫘↔101111111011*≮⫘↔10101110110))⋝⋈⪟(≮⫘↔10000111010≭≮⫘↔11101101101)⊴≮⫘↔110001101001≹⇙⪍≮⫘↔11000101111)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1839,"operation_count":13,"complexity_ratio":141.46153846153845,"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":1379,"base":2}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1957,"base":2}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1016,"base":2},"right_expr":{"type":"numeric_atoms","value":1461,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3067,"base":2},"right_expr":{"type":"numeric_atoms","value":1398,"base":2}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1082,"base":2},"right_expr":{"type":"numeric_atoms","value":1901,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3177,"base":2},"right_expr":{"type":"numeric_atoms","value":1583,"base":2}}}}},"used_operators":["3ViojmjbAp","Qy55tPpLXF","srAu1WTS94","megm06wKyl","e1ybzncUwg","inkyxCbjAn","2DDjHMKMc0","rxpJgHHUmx","9HNa5Wba9A","Nsiff2A1zJ","AHs5Up7iyr"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1379","layer":4},{"info":"compute unary expreesion, input=1379, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=441","layer":2},{"info":"number node, value=1957","layer":4},{"info":"compute unary expreesion, input=1957, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', 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=441, 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=1016","layer":4},{"info":"number node, value=1461","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=1461, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1016","layer":3},{"info":"number node, value=3067","layer":4},{"info":"number node, value=1398","layer":4},{"info":"compute binary expreesion, left_input=3067, right_input=1398, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4287666","layer":3},{"info":"compute binary expreesion, left_input=1016, right_input=4287666, 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=1082","layer":4},{"info":"number node, value=1901","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=1901, 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=3177","layer":4},{"info":"number node, value=1583","layer":4},{"info":"compute binary expreesion, left_input=3177, right_input=1583, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-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":2,"result_base":2,"text":"((⨵≀≌(⨈⫕≮⫘↔10101100011))⋥≓≎(≉(⇁⨣⪵≮⫘↔11110100101)))⨓((≮⫘↔1111111000⋝⋈⪟≮⫘↔10110110101≭(≮⫘↔101111111011*≮⫘↔10101110110))⋝⋈⪟(≮⫘↔10000111010≭≮⫘↔11101101101)⊴≮⫘↔110001101001≹⇙⪍≮⫘↔11000101111)=NaN","reverse_text":"NaN=((⨵≀≌(⨈⫕≮⫘↔10101100011))⋥≓≎(≉(⇁⨣⪵≮⫘↔11110100101)))⨓((≮⫘↔1111111000⋝⋈⪟≮⫘↔10110110101≭(≮⫘↔101111111011*≮⫘↔10101110110))⋝⋈⪟(≮⫘↔10000111010≭≮⫘↔11101101101)⊴≮⫘↔110001101001≹⇙⪍≮⫘↔11000101111)","cot":[{"info":"⨈⫕≮⫘↔10101100011=≮⫘↔-10101","layer":3},{"info":"⨵≀≌≮⫘↔-10101=≮⫘↔110111001","layer":2},{"info":"⇁⨣⪵≮⫘↔11110100101=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"≮⫘↔110111001⋥≓≎NaN=NaN","layer":1},{"info":"≮⫘↔1111111000⋝⋈⪟≮⫘↔10110110101=≮⫘↔1111111000","layer":3},{"info":"≮⫘↔101111111011*≮⫘↔10101110110=≮⫘↔10000010110110010110010","layer":3},{"info":"≮⫘↔1111111000≭≮⫘↔10000010110110010110010=NaN","layer":2},{"info":"≮⫘↔10000111010≭≮⫘↔11101101101=NaN","layer":3},{"info":"≮⫘↔110001101001≹⇙⪍≮⫘↔11000101111=NaN","layer":3},{"info":"NaN⊴NaN=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":10,"expression_no_base_symbol":"((($1768$⨳⩥⨓$1762$)⊪)⊘)⪛($5253$⋝⋈⪟$7934$+($4440$⪠⩆⊳))≹⇙⪍(⊙↵-($1203$⨎$2129$))","expression":"(((≮⫘↔11011101000⨳⩥⨓≮⫘↔11011100010)⊪)⊘)⪛(≮⫘↔1010010000101⋝⋈⪟≮⫘↔1111011111110+(≮⫘↔1000101011000⪠⩆⊳))≹⇙⪍(⊙↵-(≮⫘↔10010110011⨎≮⫘↔100001010001))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7486,"operation_count":10,"complexity_ratio":748.6,"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":1768,"base":2},"right_expr":{"type":"numeric_atoms","value":1762,"base":2}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5253,"base":2},"right_expr":{"type":"numeric_atoms","value":7934,"base":2}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4440,"base":2}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1203,"base":2},"right_expr":{"type":"numeric_atoms","value":2129,"base":2}}}}},"used_operators":["uFcxV4UQCh","gu96TGCTMs","zVYPLywUTj","nCS4ZIUYfx","AHs5Up7iyr","W4YGzv6Whe","2DDjHMKMc0","JLbD19bQDL","oWn0xqSxBt","rJVOvQCfKK"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1768","layer":4},{"info":"number node, value=1762","layer":4},{"info":"compute binary expreesion, left_input=1768, right_input=1762, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-6","layer":3},{"info":"compute unary expreesion, input=-6, 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":"compute unary expreesion, input=0, 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":"number node, value=5253","layer":4},{"info":"number node, value=7934","layer":4},{"info":"compute binary expreesion, left_input=5253, right_input=7934, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5253","layer":3},{"info":"number node, value=4440","layer":4},{"info":"compute unary expreesion, input=4440, 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=5253, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5253","layer":2},{"info":"number node, value=1203","layer":4},{"info":"number node, value=2129","layer":4},{"info":"compute binary expreesion, left_input=1203, right_input=2129, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2129","layer":3},{"info":"compute unary expreesion, input=2129, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=5253, right_input=-1, 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=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔11011101000⨳⩥⨓≮⫘↔11011100010)⊪)⊘)⪛(≮⫘↔1010010000101⋝⋈⪟≮⫘↔1111011111110+(≮⫘↔1000101011000⪠⩆⊳))≹⇙⪍(⊙↵-(≮⫘↔10010110011⨎≮⫘↔100001010001))=NaN","reverse_text":"NaN=(((≮⫘↔11011101000⨳⩥⨓≮⫘↔11011100010)⊪)⊘)⪛(≮⫘↔1010010000101⋝⋈⪟≮⫘↔1111011111110+(≮⫘↔1000101011000⪠⩆⊳))≹⇙⪍(⊙↵-(≮⫘↔10010110011⨎≮⫘↔100001010001))","cot":[{"info":"≮⫘↔11011101000⨳⩥⨓≮⫘↔11011100010=≮⫘↔-110","layer":3},{"info":"≮⫘↔-110⊪=≮⫘↔0","layer":2},{"info":"≮⫘↔0⊘=≮⫘↔0","layer":1},{"info":"≮⫘↔1010010000101⋝⋈⪟≮⫘↔1111011111110=≮⫘↔1010010000101","layer":3},{"info":"≮⫘↔1000101011000⪠⩆⊳=≮⫘↔0","layer":3},{"info":"≮⫘↔1010010000101+≮⫘↔0=≮⫘↔1010010000101","layer":2},{"info":"≮⫘↔10010110011⨎≮⫘↔100001010001=≮⫘↔100001010001","layer":3},{"info":"⊙↵-≮⫘↔100001010001=≮⫘↔-1","layer":2},{"info":"≮⫘↔1010010000101≹⇙⪍≮⫘↔-1=≮⫘↔0","layer":1},{"info":"≮⫘↔0⪛≮⫘↔0=NaN","layer":0}]}
{"id":11,"expression_no_base_symbol":"((⨑⩽⪐($1599$⊪))⫸⊐(↯⪼(∂$2084$)))⫸⊐(($3200$∼$3869$⫡⨏($2881$∧))⊭↱($1136$⋷$1667$/($1286$⨵⪆$3403$)))","expression":"((⨑⩽⪐(≮⫘↔11000111111⊪))⫸⊐(↯⪼(∂≮⫘↔100000100100)))⫸⊐((≮⫘↔110010000000∼≮⫘↔111100011101⫡⨏(≮⫘↔101101000001∧))⊭↱(≮⫘↔10001110000⋷≮⫘↔11010000011/(≮⫘↔10100000110⨵⪆≮⫘↔110101001011)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":200,"operation_count":13,"complexity_ratio":15.384615384615385,"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":1599,"base":2}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2084,"base":2}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3200,"base":2},"right_expr":{"type":"numeric_atoms","value":3869,"base":2}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2881,"base":2}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1136,"base":2},"right_expr":{"type":"numeric_atoms","value":1667,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1286,"base":2},"right_expr":{"type":"numeric_atoms","value":3403,"base":2}}}}},"used_operators":["mqXw5SEYmG","AF7qkfDlqP","zVYPLywUTj","8jW3W4yZS5","Uaa54Peajs","COABgblf1C","QMFrweE19q","DyGG3AbaNP","z63VuFQld9","XhwjNDsVaA","23Mk6UjR3U","2DQ55sFlQl"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔100010011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1599","layer":4},{"info":"compute unary expreesion, input=1599, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":2},{"info":"number node, value=2084","layer":4},{"info":"compute unary expreesion, input=2084, 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 = 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=789, right_input=-21, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-209","layer":1},{"info":"number node, value=3200","layer":4},{"info":"number node, value=3869","layer":4},{"info":"compute binary expreesion, left_input=3200, right_input=3869, 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=2881","layer":4},{"info":"compute unary expreesion, input=2881, 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=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":"number node, value=1136","layer":4},{"info":"number node, value=1667","layer":4},{"info":"compute binary expreesion, left_input=1136, right_input=1667, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2198","layer":3},{"info":"number node, value=1286","layer":4},{"info":"number node, value=3403","layer":4},{"info":"compute binary expreesion, left_input=1286, right_input=3403, 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=2198, right_input=160, op_id = XhwjNDsVaA binary_op_definition= 'None', output=13","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=13, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-209, 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=275","layer":0}],"base":2,"result_base":2,"text":"((⨑⩽⪐(≮⫘↔11000111111⊪))⫸⊐(↯⪼(∂≮⫘↔100000100100)))⫸⊐((≮⫘↔110010000000∼≮⫘↔111100011101⫡⨏(≮⫘↔101101000001∧))⊭↱(≮⫘↔10001110000⋷≮⫘↔11010000011/(≮⫘↔10100000110⨵⪆≮⫘↔110101001011)))=≮⫘↔100010011","reverse_text":"≮⫘↔100010011=((⨑⩽⪐(≮⫘↔11000111111⊪))⫸⊐(↯⪼(∂≮⫘↔100000100100)))⫸⊐((≮⫘↔110010000000∼≮⫘↔111100011101⫡⨏(≮⫘↔101101000001∧))⊭↱(≮⫘↔10001110000⋷≮⫘↔11010000011/(≮⫘↔10100000110⨵⪆≮⫘↔110101001011)))","cot":[{"info":"≮⫘↔11000111111⊪=≮⫘↔0","layer":3},{"info":"⨑⩽⪐≮⫘↔0=≮⫘↔1100010101","layer":2},{"info":"∂≮⫘↔100000100100=NaN","layer":3},{"info":"↯⪼NaN=≮⫘↔-10101","layer":2},{"info":"≮⫘↔1100010101⫸⊐≮⫘↔-10101=≮⫘↔-11010001","layer":1},{"info":"≮⫘↔110010000000∼≮⫘↔111100011101=NaN","layer":3},{"info":"≮⫘↔101101000001∧=NaN","layer":3},{"info":"NaN⫡⨏NaN=NaN","layer":2},{"info":"≮⫘↔10001110000⋷≮⫘↔11010000011=≮⫘↔100010010110","layer":3},{"info":"≮⫘↔10100000110⨵⪆≮⫘↔110101001011=≮⫘↔10100000","layer":3},{"info":"≮⫘↔100010010110/≮⫘↔10100000=≮⫘↔1101","layer":2},{"info":"NaN⊭↱≮⫘↔1101=NaN","layer":1},{"info":"≮⫘↔-11010001⫸⊐NaN=≮⫘↔100010011","layer":0}]}
{"id":12,"expression_no_base_symbol":"(((-$1241$)⫸⊐(↽≂$4242$))+⇶⊼($1704$∼$1482$%$5835$⋓$1011$))↬(($1621$⨎$1039$)∑⇟⊟(⪝⪂⫅$3473$)∸)","expression":"(((-≮⫘↔10011011001)⫸⊐(↽≂≮⫘↔1000010010010))+⇶⊼(≮⫘↔11010101000∼≮⫘↔10111001010%≮⫘↔1011011001011⋓≮⫘↔1111110011))↬((≮⫘↔11001010101⨎≮⫘↔10000001111)∑⇟⊟(⪝⪂⫅≮⫘↔110110010001)∸)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":388,"operation_count":12,"complexity_ratio":32.333333333333336,"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":1241,"base":2}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4242,"base":2}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1704,"base":2},"right_expr":{"type":"numeric_atoms","value":1482,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5835,"base":2},"right_expr":{"type":"numeric_atoms","value":1011,"base":2}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1621,"base":2},"right_expr":{"type":"numeric_atoms","value":1039,"base":2}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3473,"base":2}}}}},"used_operators":["B5M0gjZbta","TpPTUOHfaN","mqXw5SEYmG","t8gj7n24qd","u6S6b8DprG","k8jYdgA6NY","DyGG3AbaNP","T2fj7uvVaJ","o20kRiQErp","U7g4x0WXJJ","rJVOvQCfKK","XTarYq4gQB"],"dependent_operators":["rGHVDoGpnC","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1241","layer":4},{"info":"compute unary expreesion, input=1241, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1241","layer":3},{"info":"number node, value=4242","layer":4},{"info":"compute unary expreesion, input=4242, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8484","layer":3},{"info":"compute binary expreesion, left_input=-1241, right_input=-8484, 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":"number node, value=1704","layer":4},{"info":"number node, value=1482","layer":4},{"info":"compute binary expreesion, left_input=1704, right_input=1482, 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=5835","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=5835, right_input=1011, 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=nan, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=1621","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=1039, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1039","layer":3},{"info":"number node, value=3473","layer":4},{"info":"compute unary expreesion, input=3473, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-510531","layer":3},{"info":"compute binary expreesion, left_input=1039, right_input=-510531, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((-≮⫘↔10011011001)⫸⊐(↽≂≮⫘↔1000010010010))+⇶⊼(≮⫘↔11010101000∼≮⫘↔10111001010%≮⫘↔1011011001011⋓≮⫘↔1111110011))↬((≮⫘↔11001010101⨎≮⫘↔10000001111)∑⇟⊟(⪝⪂⫅≮⫘↔110110010001)∸)=NaN","reverse_text":"NaN=(((-≮⫘↔10011011001)⫸⊐(↽≂≮⫘↔1000010010010))+⇶⊼(≮⫘↔11010101000∼≮⫘↔10111001010%≮⫘↔1011011001011⋓≮⫘↔1111110011))↬((≮⫘↔11001010101⨎≮⫘↔10000001111)∑⇟⊟(⪝⪂⫅≮⫘↔110110010001)∸)","cot":[{"info":"-≮⫘↔10011011001=≮⫘↔-10011011001","layer":3},{"info":"↽≂≮⫘↔1000010010010=≮⫘↔-10000100100100","layer":3},{"info":"≮⫘↔-10011011001⫸⊐≮⫘↔-10000100100100=≮⫘↔1111001000","layer":2},{"info":"≮⫘↔11010101000∼≮⫘↔10111001010=NaN","layer":3},{"info":"≮⫘↔1011011001011⋓≮⫘↔1111110011=≮⫘↔0","layer":3},{"info":"NaN%≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔1111001000+⇶⊼NaN=NaN","layer":1},{"info":"≮⫘↔11001010101⨎≮⫘↔10000001111=≮⫘↔10000001111","layer":3},{"info":"⪝⪂⫅≮⫘↔110110010001=≮⫘↔-1111100101001000011","layer":3},{"info":"≮⫘↔10000001111∑⇟⊟≮⫘↔-1111100101001000011=NaN","layer":2},{"info":"NaN∸=≮⫘↔10110001","layer":1},{"info":"NaN↬≮⫘↔10110001=NaN","layer":0}]}
{"id":13,"expression_no_base_symbol":"(($2678$⪄$5902$)⩚⊴⇥(⋗⩬⋾$6996$)≭($5051$⨎$2375$⋳⪒($2147$⨳⩥⨓$5584$)))⋝⋈⪟(($6084$⪐)⋓($1319$*$1980$))⪛($5052$∼$2514$⋝⋈⪟($2072$⫥∨⫟$1172$))","expression":"((≮⫘↔101001110110⪄≮⫘↔1011100001110)⩚⊴⇥(⋗⩬⋾≮⫘↔1101101010100)≭(≮⫘↔1001110111011⨎≮⫘↔100101000111⋳⪒(≮⫘↔100001100011⨳⩥⨓≮⫘↔1010111010000)))⋝⋈⪟((≮⫘↔1011111000100⪐)⋓(≮⫘↔10100100111*≮⫘↔11110111100))⪛(≮⫘↔1001110111100∼≮⫘↔100111010010⋝⋈⪟(≮⫘↔100000011000⫥∨⫟≮⫘↔10010010100))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1712,"operation_count":15,"complexity_ratio":114.13333333333334,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2678,"base":2},"right_expr":{"type":"numeric_atoms","value":5902,"base":2}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":6996,"base":2}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5051,"base":2},"right_expr":{"type":"numeric_atoms","value":2375,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2147,"base":2},"right_expr":{"type":"numeric_atoms","value":5584,"base":2}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":6084,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1319,"base":2},"right_expr":{"type":"numeric_atoms","value":1980,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5052,"base":2},"right_expr":{"type":"numeric_atoms","value":2514,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2072,"base":2},"right_expr":{"type":"numeric_atoms","value":1172,"base":2}}}}},"used_operators":["2DDjHMKMc0","rxpJgHHUmx","NTOWxs364D","SUmda5xLS4","DpFCA1CohY","12rbrZMWeM","rJVOvQCfKK","nCS4ZIUYfx","uFcxV4UQCh","T2fj7uvVaJ","eH2TOUuTDT","9HNa5Wba9A","DyGG3AbaNP","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2678","layer":4},{"info":"number node, value=5902","layer":4},{"info":"compute binary expreesion, left_input=2678, right_input=5902, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-416041","layer":3},{"info":"number node, value=6996","layer":4},{"info":"compute unary expreesion, input=6996, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-20988","layer":3},{"info":"compute binary expreesion, left_input=-416041, right_input=-20988, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=436908","layer":2},{"info":"number node, value=5051","layer":4},{"info":"number node, value=2375","layer":4},{"info":"compute binary expreesion, left_input=5051, right_input=2375, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2375","layer":3},{"info":"number node, value=2147","layer":4},{"info":"number node, value=5584","layer":4},{"info":"compute binary expreesion, left_input=2147, right_input=5584, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3437","layer":3},{"info":"compute binary expreesion, left_input=2375, right_input=3437, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1026","layer":2},{"info":"compute binary expreesion, left_input=436908, right_input=1026, 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=6084","layer":4},{"info":"compute unary expreesion, input=6084, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=12168","layer":3},{"info":"number node, value=1319","layer":4},{"info":"number node, value=1980","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=1980, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2611620","layer":3},{"info":"compute binary expreesion, left_input=12168, right_input=2611620, 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=5052","layer":4},{"info":"number node, value=2514","layer":4},{"info":"compute binary expreesion, left_input=5052, right_input=2514, 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=2072","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=2072, right_input=1172, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, 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=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101001110110⪄≮⫘↔1011100001110)⩚⊴⇥(⋗⩬⋾≮⫘↔1101101010100)≭(≮⫘↔1001110111011⨎≮⫘↔100101000111⋳⪒(≮⫘↔100001100011⨳⩥⨓≮⫘↔1010111010000)))⋝⋈⪟((≮⫘↔1011111000100⪐)⋓(≮⫘↔10100100111*≮⫘↔11110111100))⪛(≮⫘↔1001110111100∼≮⫘↔100111010010⋝⋈⪟(≮⫘↔100000011000⫥∨⫟≮⫘↔10010010100))=NaN","reverse_text":"NaN=((≮⫘↔101001110110⪄≮⫘↔1011100001110)⩚⊴⇥(⋗⩬⋾≮⫘↔1101101010100)≭(≮⫘↔1001110111011⨎≮⫘↔100101000111⋳⪒(≮⫘↔100001100011⨳⩥⨓≮⫘↔1010111010000)))⋝⋈⪟((≮⫘↔1011111000100⪐)⋓(≮⫘↔10100100111*≮⫘↔11110111100))⪛(≮⫘↔1001110111100∼≮⫘↔100111010010⋝⋈⪟(≮⫘↔100000011000⫥∨⫟≮⫘↔10010010100))","cot":[{"info":"≮⫘↔101001110110⪄≮⫘↔1011100001110=≮⫘↔-1100101100100101001","layer":3},{"info":"⋗⩬⋾≮⫘↔1101101010100=≮⫘↔-101000111111100","layer":3},{"info":"≮⫘↔-1100101100100101001⩚⊴⇥≮⫘↔-101000111111100=≮⫘↔1101010101010101100","layer":2},{"info":"≮⫘↔1001110111011⨎≮⫘↔100101000111=≮⫘↔100101000111","layer":3},{"info":"≮⫘↔100001100011⨳⩥⨓≮⫘↔1010111010000=≮⫘↔110101101101","layer":3},{"info":"≮⫘↔100101000111⋳⪒≮⫘↔110101101101=≮⫘↔10000000010","layer":2},{"info":"≮⫘↔1101010101010101100≭≮⫘↔10000000010=NaN","layer":1},{"info":"≮⫘↔1011111000100⪐=≮⫘↔10111110001000","layer":3},{"info":"≮⫘↔10100100111*≮⫘↔11110111100=≮⫘↔1001111101100110100100","layer":3},{"info":"≮⫘↔10111110001000⋓≮⫘↔1001111101100110100100=≮⫘↔0","layer":2},{"info":"≮⫘↔1001110111100∼≮⫘↔100111010010=NaN","layer":3},{"info":"≮⫘↔100000011000⫥∨⫟≮⫘↔10010010100=NaN","layer":3},{"info":"NaN⋝⋈⪟NaN=NaN","layer":2},{"info":"≮⫘↔0⪛NaN=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":14,"expression_no_base_symbol":"(⊥(↽≂($4523$⩨$6305$)))⇋≉","expression":"(⊥(↽≂(≮⫘↔1000110101011⩨≮⫘↔1100010100001)))⇋≉","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":82,"operation_count":4,"complexity_ratio":20.5,"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":4523,"base":2},"right_expr":{"type":"numeric_atoms","value":6305,"base":2}}}}},"used_operators":["XIabStNQrY","Q3PJZHRvZv","u6S6b8DprG","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"≮⫘↔-1110100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4523","layer":4},{"info":"number node, value=6305","layer":4},{"info":"compute binary expreesion, left_input=4523, right_input=6305, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=6","layer":2},{"info":"compute unary expreesion, input=6, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-9","layer":1},{"info":"compute unary expreesion, input=-9, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-116","layer":0}],"base":2,"result_base":2,"text":"(⊥(↽≂(≮⫘↔1000110101011⩨≮⫘↔1100010100001)))⇋≉=≮⫘↔-1110100","reverse_text":"≮⫘↔-1110100=(⊥(↽≂(≮⫘↔1000110101011⩨≮⫘↔1100010100001)))⇋≉","cot":[{"info":"≮⫘↔1000110101011⩨≮⫘↔1100010100001=≮⫘↔-11","layer":3},{"info":"↽≂≮⫘↔-11=≮⫘↔110","layer":2},{"info":"⊥≮⫘↔110=≮⫘↔-1001","layer":1},{"info":"≮⫘↔-1001⇋≉=≮⫘↔-1110100","layer":0}]}
{"id":15,"expression_no_base_symbol":"(↯⪼((⫓⪴$3674$)↺$7609$⋝⋈⪟$5029$))⨟⋌⩍(⩦⩻⨪(($2571$+$2406$)%(-$1242$)))","expression":"(↯⪼((⫓⪴≮⫘↔111001011010)↺≮⫘↔1110110111001⋝⋈⪟≮⫘↔1001110100101))⨟⋌⩍(⩦⩻⨪((≮⫘↔101000001011+≮⫘↔100101100110)%(-≮⫘↔10011011010)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3720,"operation_count":9,"complexity_ratio":413.3333333333333,"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":3674,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7609,"base":2},"right_expr":{"type":"numeric_atoms","value":5029,"base":2}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2571,"base":2},"right_expr":{"type":"numeric_atoms","value":2406,"base":2}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1242,"base":2}}}}},"used_operators":["rGHVDoGpnC","8jW3W4yZS5","7j4O788W3g","eLxqMNBOBk","2DDjHMKMc0","2td37pGCOC","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"dependent_operators":["Tcnh7f0tEr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3674","layer":4},{"info":"compute unary expreesion, input=3674, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=13498276","layer":3},{"info":"number node, value=7609","layer":4},{"info":"number node, value=5029","layer":4},{"info":"compute binary expreesion, left_input=7609, right_input=5029, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7609","layer":3},{"info":"compute binary expreesion, left_input=13498276, right_input=7609, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7609","layer":2},{"info":"compute unary expreesion, input=7609, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=2571","layer":4},{"info":"number node, value=2406","layer":4},{"info":"compute binary expreesion, left_input=2571, right_input=2406, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4977","layer":3},{"info":"number node, value=1242","layer":4},{"info":"compute unary expreesion, input=1242, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1242","layer":3},{"info":"compute binary expreesion, left_input=4977, right_input=-1242, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-1233","layer":2},{"info":"compute unary expreesion, input=-1233, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-1233","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-1233, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↯⪼((⫓⪴≮⫘↔111001011010)↺≮⫘↔1110110111001⋝⋈⪟≮⫘↔1001110100101))⨟⋌⩍(⩦⩻⨪((≮⫘↔101000001011+≮⫘↔100101100110)%(-≮⫘↔10011011010)))=NaN","reverse_text":"NaN=(↯⪼((⫓⪴≮⫘↔111001011010)↺≮⫘↔1110110111001⋝⋈⪟≮⫘↔1001110100101))⨟⋌⩍(⩦⩻⨪((≮⫘↔101000001011+≮⫘↔100101100110)%(-≮⫘↔10011011010)))","cot":[{"info":"⫓⪴≮⫘↔111001011010=≮⫘↔110011011111011110100100","layer":3},{"info":"≮⫘↔1110110111001⋝⋈⪟≮⫘↔1001110100101=≮⫘↔1110110111001","layer":3},{"info":"≮⫘↔110011011111011110100100↺≮⫘↔1110110111001=≮⫘↔1110110111001","layer":2},{"info":"↯⪼≮⫘↔1110110111001=≮⫘↔-10101","layer":1},{"info":"≮⫘↔101000001011+≮⫘↔100101100110=≮⫘↔1001101110001","layer":3},{"info":"-≮⫘↔10011011010=≮⫘↔-10011011010","layer":3},{"info":"≮⫘↔1001101110001%≮⫘↔-10011011010=≮⫘↔-10011010001","layer":2},{"info":"⩦⩻⨪≮⫘↔-10011010001=≮⫘↔-10011010001","layer":1},{"info":"≮⫘↔-10101⨟⋌⩍≮⫘↔-10011010001=NaN","layer":0}]}
{"id":16,"expression_no_base_symbol":"(↽≂($2380$⋝⋈⪟$1209$)⊴($2551$∼$1023$))⇷((+⊝⨔($5586$⋥≓≎$2114$))⋳⪒(∥⊫$2165$⨟⋌⩍$1116$))","expression":"(↽≂(≮⫘↔100101001100⋝⋈⪟≮⫘↔10010111001)⊴(≮⫘↔100111110111∼≮⫘↔1111111111))⇷((+⊝⨔(≮⫘↔1010111010010⋥≓≎≮⫘↔100001000010))⋳⪒(∥⊫≮⫘↔100001110101⨟⋌⩍≮⫘↔10001011100))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":107,"operation_count":10,"complexity_ratio":10.7,"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":2380,"base":2},"right_expr":{"type":"numeric_atoms","value":1209,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2551,"base":2},"right_expr":{"type":"numeric_atoms","value":1023,"base":2}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5586,"base":2},"right_expr":{"type":"numeric_atoms","value":2114,"base":2}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2165,"base":2},"right_expr":{"type":"numeric_atoms","value":1116,"base":2}}}}},"used_operators":["mp7IySMOzn","u6S6b8DprG","Nsiff2A1zJ","2DDjHMKMc0","DyGG3AbaNP","12rbrZMWeM","DhbWaqg5eL","Qy55tPpLXF","P8v4zCKN1o","rGHVDoGpnC"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=2380","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=2380, right_input=1209, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2380","layer":3},{"info":"number node, value=2551","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=2551, right_input=1023, 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=2380, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=5586","layer":4},{"info":"number node, value=2114","layer":4},{"info":"compute binary expreesion, left_input=5586, right_input=2114, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1325","layer":3},{"info":"compute unary expreesion, input=-1325, 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=2165","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=2165, right_input=1116, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1522, 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=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↽≂(≮⫘↔100101001100⋝⋈⪟≮⫘↔10010111001)⊴(≮⫘↔100111110111∼≮⫘↔1111111111))⇷((+⊝⨔(≮⫘↔1010111010010⋥≓≎≮⫘↔100001000010))⋳⪒(∥⊫≮⫘↔100001110101⨟⋌⩍≮⫘↔10001011100))=NaN","reverse_text":"NaN=(↽≂(≮⫘↔100101001100⋝⋈⪟≮⫘↔10010111001)⊴(≮⫘↔100111110111∼≮⫘↔1111111111))⇷((+⊝⨔(≮⫘↔1010111010010⋥≓≎≮⫘↔100001000010))⋳⪒(∥⊫≮⫘↔100001110101⨟⋌⩍≮⫘↔10001011100))","cot":[{"info":"≮⫘↔100101001100⋝⋈⪟≮⫘↔10010111001=≮⫘↔100101001100","layer":3},{"info":"≮⫘↔100111110111∼≮⫘↔1111111111=NaN","layer":3},{"info":"≮⫘↔100101001100⊴NaN=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"≮⫘↔1010111010010⋥≓≎≮⫘↔100001000010=≮⫘↔-10100101101","layer":3},{"info":"+⊝⨔≮⫘↔-10100101101=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔100001110101⨟⋌⩍≮⫘↔10001011100=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"≮⫘↔10111110010⋳⪒NaN=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":17,"expression_no_base_symbol":"(↥(↥($3905$⨸⪁$5006$)))⨸⪁($3341$⪛$6285$∑⇟⊟($2727$⊉≛↸$1942$)∲⫓(⊄⩳↩$1510$)≧⫂∧($4534$⋷$5075$))","expression":"(↥(↥(≮⫘↔111101000001⨸⪁≮⫘↔1001110001110)))⨸⪁(≮⫘↔110100001101⪛≮⫘↔1100010001101∑⇟⊟(≮⫘↔101010100111⊉≛↸≮⫘↔11110010110)∲⫓(⊄⩳↩≮⫘↔10111100110)≧⫂∧(≮⫘↔1000110110110⋷≮⫘↔1001111010011))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":372,"operation_count":11,"complexity_ratio":33.81818181818182,"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":3905,"base":2},"right_expr":{"type":"numeric_atoms","value":5006,"base":2}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3341,"base":2},"right_expr":{"type":"numeric_atoms","value":6285,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2727,"base":2},"right_expr":{"type":"numeric_atoms","value":1942,"base":2}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1510,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4534,"base":2},"right_expr":{"type":"numeric_atoms","value":5075,"base":2}}}}},"used_operators":["g55IO6H4Gj","A8NUZmVepG","i8ToyICDmI","U7g4x0WXJJ","uFcxV4UQCh","DZ8iAZOCBD","Ph9nP6C5qx","8w2t5hMYqp","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔101110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3905","layer":4},{"info":"number node, value=5006","layer":4},{"info":"compute binary expreesion, left_input=3905, right_input=5006, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17822","layer":3},{"info":"compute unary expreesion, input=17822, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=23","layer":2},{"info":"compute unary expreesion, input=23, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=23","layer":1},{"info":"number node, value=3341","layer":4},{"info":"number node, value=6285","layer":4},{"info":"compute binary expreesion, left_input=3341, right_input=6285, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3341","layer":3},{"info":"number node, value=2727","layer":4},{"info":"number node, value=1942","layer":4},{"info":"compute binary expreesion, left_input=2727, right_input=1942, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5454","layer":3},{"info":"compute binary expreesion, left_input=3341, right_input=5454, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1510","layer":4},{"info":"compute unary expreesion, input=1510, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4530","layer":3},{"info":"number node, value=4534","layer":4},{"info":"number node, value=5075","layer":4},{"info":"compute binary expreesion, left_input=4534, right_input=5075, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5616","layer":3},{"info":"compute binary expreesion, left_input=-4530, right_input=5616, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5143","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5143, 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=23, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=46","layer":0}],"base":2,"result_base":2,"text":"(↥(↥(≮⫘↔111101000001⨸⪁≮⫘↔1001110001110)))⨸⪁(≮⫘↔110100001101⪛≮⫘↔1100010001101∑⇟⊟(≮⫘↔101010100111⊉≛↸≮⫘↔11110010110)∲⫓(⊄⩳↩≮⫘↔10111100110)≧⫂∧(≮⫘↔1000110110110⋷≮⫘↔1001111010011))=≮⫘↔101110","reverse_text":"≮⫘↔101110=(↥(↥(≮⫘↔111101000001⨸⪁≮⫘↔1001110001110)))⨸⪁(≮⫘↔110100001101⪛≮⫘↔1100010001101∑⇟⊟(≮⫘↔101010100111⊉≛↸≮⫘↔11110010110)∲⫓(⊄⩳↩≮⫘↔10111100110)≧⫂∧(≮⫘↔1000110110110⋷≮⫘↔1001111010011))","cot":[{"info":"≮⫘↔111101000001⨸⪁≮⫘↔1001110001110=≮⫘↔100010110011110","layer":3},{"info":"↥≮⫘↔100010110011110=≮⫘↔10111","layer":2},{"info":"↥≮⫘↔10111=≮⫘↔10111","layer":1},{"info":"≮⫘↔110100001101⪛≮⫘↔1100010001101=≮⫘↔110100001101","layer":3},{"info":"≮⫘↔101010100111⊉≛↸≮⫘↔11110010110=≮⫘↔1010101001110","layer":3},{"info":"≮⫘↔110100001101∑⇟⊟≮⫘↔1010101001110=NaN","layer":2},{"info":"⊄⩳↩≮⫘↔10111100110=≮⫘↔-1000110110010","layer":3},{"info":"≮⫘↔1000110110110⋷≮⫘↔1001111010011=≮⫘↔1010111110000","layer":3},{"info":"≮⫘↔-1000110110010≧⫂∧≮⫘↔1010111110000=≮⫘↔1010000010111","layer":2},{"info":"NaN∲⫓≮⫘↔1010000010111=≮⫘↔0","layer":1},{"info":"≮⫘↔10111⨸⪁≮⫘↔0=≮⫘↔101110","layer":0}]}
{"id":18,"expression_no_base_symbol":"⪝⪂⫅($5760$∑⇟⊟$3115$⨓($1454$⪨≂$1027$)⇼⇔∾($2490$⪨≂$7547$)⪘⫢$2537$↬$2589$)","expression":"⪝⪂⫅(≮⫘↔1011010000000∑⇟⊟≮⫘↔110000101011⨓(≮⫘↔10110101110⪨≂≮⫘↔10000000011)⇼⇔∾(≮⫘↔100110111010⪨≂≮⫘↔1110101111011)⪘⫢≮⫘↔100111101001↬≮⫘↔101000011101)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":989,"operation_count":8,"complexity_ratio":123.625,"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":5760,"base":2},"right_expr":{"type":"numeric_atoms","value":3115,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1454,"base":2},"right_expr":{"type":"numeric_atoms","value":1027,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2490,"base":2},"right_expr":{"type":"numeric_atoms","value":7547,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2537,"base":2},"right_expr":{"type":"numeric_atoms","value":2589,"base":2}}}}},"used_operators":["XTarYq4gQB","tifHPKVTfV","3ViojmjbAp","U7g4x0WXJJ","sdazOOVcIp","oacrs7FA3X","B5M0gjZbta"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5760","layer":4},{"info":"number node, value=3115","layer":4},{"info":"compute binary expreesion, left_input=5760, right_input=3115, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1454","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=1454, right_input=1027, 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=956","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=956, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-959","layer":2},{"info":"number node, value=2490","layer":4},{"info":"number node, value=7547","layer":4},{"info":"compute binary expreesion, left_input=2490, right_input=7547, 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=-10012","layer":3},{"info":"number node, value=2537","layer":4},{"info":"number node, value=2589","layer":4},{"info":"compute binary expreesion, left_input=2537, right_input=2589, 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=-10012, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-959, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⪝⪂⫅(≮⫘↔1011010000000∑⇟⊟≮⫘↔110000101011⨓(≮⫘↔10110101110⪨≂≮⫘↔10000000011)⇼⇔∾(≮⫘↔100110111010⪨≂≮⫘↔1110101111011)⪘⫢≮⫘↔100111101001↬≮⫘↔101000011101)=NaN","reverse_text":"NaN=⪝⪂⫅(≮⫘↔1011010000000∑⇟⊟≮⫘↔110000101011⨓(≮⫘↔10110101110⪨≂≮⫘↔10000000011)⇼⇔∾(≮⫘↔100110111010⪨≂≮⫘↔1110101111011)⪘⫢≮⫘↔100111101001↬≮⫘↔101000011101)","cot":[{"info":"≮⫘↔1011010000000∑⇟⊟≮⫘↔110000101011=NaN","layer":3},{"info":"≮⫘↔10110101110⪨≂≮⫘↔10000000011=≮⫘↔1110111100","layer":3},{"info":"NaN⨓≮⫘↔1110111100=≮⫘↔-1110111111","layer":2},{"info":"≮⫘↔100110111010⪨≂≮⫘↔1110101111011=≮⫘↔-10011100011100","layer":3},{"info":"≮⫘↔100111101001↬≮⫘↔101000011101=NaN","layer":3},{"info":"≮⫘↔-10011100011100⪘⫢NaN=NaN","layer":2},{"info":"≮⫘↔-1110111111⇼⇔∾NaN=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":19,"expression_no_base_symbol":"⪲⇎(⇁⨣⪵$4355$)↬($1984$∲⫓$1607$)⨽(∥⊫($1580$+$2691$))","expression":"⪲⇎(⇁⨣⪵≮⫘↔1000100000011)↬(≮⫘↔11111000000∲⫓≮⫘↔11001000111)⨽(∥⊫(≮⫘↔11000101100+≮⫘↔101010000011))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":21,"operation_count":7,"complexity_ratio":3.0,"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":4355,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1984,"base":2},"right_expr":{"type":"numeric_atoms","value":1607,"base":2}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1580,"base":2},"right_expr":{"type":"numeric_atoms","value":2691,"base":2}}}}},"used_operators":["XPYlsWDdGa","8HhzD0ZcuI","B5M0gjZbta","inkyxCbjAn","i8ToyICDmI","P8v4zCKN1o","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4355","layer":4},{"info":"compute unary expreesion, input=4355, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1984","layer":4},{"info":"number node, value=1607","layer":4},{"info":"compute binary expreesion, left_input=1984, right_input=1607, 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 = 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=1580","layer":4},{"info":"number node, value=2691","layer":4},{"info":"compute binary expreesion, left_input=1580, right_input=2691, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4271","layer":3},{"info":"compute unary expreesion, input=4271, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5139","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5139, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⪲⇎(⇁⨣⪵≮⫘↔1000100000011)↬(≮⫘↔11111000000∲⫓≮⫘↔11001000111)⨽(∥⊫(≮⫘↔11000101100+≮⫘↔101010000011))=NaN","reverse_text":"NaN=⪲⇎(⇁⨣⪵≮⫘↔1000100000011)↬(≮⫘↔11111000000∲⫓≮⫘↔11001000111)⨽(∥⊫(≮⫘↔11000101100+≮⫘↔101010000011))","cot":[{"info":"⇁⨣⪵≮⫘↔1000100000011=NaN","layer":3},{"info":"≮⫘↔11111000000∲⫓≮⫘↔11001000111=≮⫘↔0","layer":3},{"info":"NaN↬≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔11000101100+≮⫘↔101010000011=≮⫘↔1000010101111","layer":3},{"info":"∥⊫≮⫘↔1000010101111=≮⫘↔1010000010011","layer":2},{"info":"NaN⨽≮⫘↔1010000010011=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":20,"expression_no_base_symbol":"((⪝⪂⫅($1029$⋥≓≎$4196$))⋫)≫≃","expression":"((⪝⪂⫅(≮⫘↔10000000101⋥≓≎≮⫘↔1000001100100))⋫)≫≃","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":162,"operation_count":4,"complexity_ratio":40.5,"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":1029,"base":2},"right_expr":{"type":"numeric_atoms","value":4196,"base":2}}}}},"used_operators":["X99M06cbEe","JL8yIekQnl","XTarYq4gQB","Qy55tPpLXF"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","tmPS8pqC7x","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1029","layer":4},{"info":"number node, value=4196","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=4196, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7396","layer":3},{"info":"compute unary expreesion, input=7396, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1087212","layer":2},{"info":"compute unary expreesion, input=-1087212, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⪝⪂⫅(≮⫘↔10000000101⋥≓≎≮⫘↔1000001100100))⋫)≫≃=NaN","reverse_text":"NaN=((⪝⪂⫅(≮⫘↔10000000101⋥≓≎≮⫘↔1000001100100))⋫)≫≃","cot":[{"info":"≮⫘↔10000000101⋥≓≎≮⫘↔1000001100100=≮⫘↔1110011100100","layer":3},{"info":"⪝⪂⫅≮⫘↔1110011100100=≮⫘↔-100001001011011101100","layer":2},{"info":"≮⫘↔-100001001011011101100⋫=NaN","layer":1},{"info":"NaN≫≃=NaN","layer":0}]}
{"id":21,"expression_no_base_symbol":"($1220$⨟⋌⩍$3790$+⇶⊼($5650$⨳⩥⨓$3857$))∼(($2415$⇋≉)⊭↱$7916$⩚⊴⇥$6204$)⇷($5592$%$1480$/($2785$≣⋋))⇷($5480$+$5196$⫡⨏$4491$≧⫂∧$4148$)","expression":"(≮⫘↔10011000100⨟⋌⩍≮⫘↔111011001110+⇶⊼(≮⫘↔1011000010010⨳⩥⨓≮⫘↔111100010001))∼((≮⫘↔100101101111⇋≉)⊭↱≮⫘↔1111011101100⩚⊴⇥≮⫘↔1100000111100)⇷(≮⫘↔1010111011000%≮⫘↔10111001000/(≮⫘↔101011100001≣⋋))⇷(≮⫘↔1010101101000+≮⫘↔1010001001100⫡⨏≮⫘↔1000110001011≧⫂∧≮⫘↔1000000110100)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":561,"operation_count":15,"complexity_ratio":37.4,"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":1220,"base":2},"right_expr":{"type":"numeric_atoms","value":3790,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5650,"base":2},"right_expr":{"type":"numeric_atoms","value":3857,"base":2}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2415,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":7916,"base":2},"right_expr":{"type":"numeric_atoms","value":6204,"base":2}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5592,"base":2},"right_expr":{"type":"numeric_atoms","value":1480,"base":2}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2785,"base":2}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5480,"base":2},"right_expr":{"type":"numeric_atoms","value":5196,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4491,"base":2},"right_expr":{"type":"numeric_atoms","value":4148,"base":2}}}}},"used_operators":["mp7IySMOzn","DyGG3AbaNP","TpPTUOHfaN","rGHVDoGpnC","nCS4ZIUYfx","COABgblf1C","XIabStNQrY","NTOWxs364D","XhwjNDsVaA","k8jYdgA6NY","Tcnh7f0tEr","QMFrweE19q","W4YGzv6Whe","Ph9nP6C5qx"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔111100000100100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1220","layer":4},{"info":"number node, value=3790","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=3790, 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=5650","layer":4},{"info":"number node, value=3857","layer":4},{"info":"compute binary expreesion, left_input=5650, right_input=3857, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1793","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1793, 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=2415","layer":4},{"info":"compute unary expreesion, input=2415, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4732","layer":3},{"info":"number node, value=7916","layer":4},{"info":"number node, value=6204","layer":4},{"info":"compute binary expreesion, left_input=7916, right_input=6204, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-14241","layer":3},{"info":"compute binary expreesion, left_input=4732, right_input=-14241, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-37941","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-37941, 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=5592","layer":4},{"info":"number node, value=1480","layer":4},{"info":"compute binary expreesion, left_input=5592, right_input=1480, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1152","layer":3},{"info":"number node, value=2785","layer":4},{"info":"compute unary expreesion, input=2785, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1152, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=5480","layer":4},{"info":"number node, value=5196","layer":4},{"info":"compute binary expreesion, left_input=5480, right_input=5196, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10676","layer":3},{"info":"number node, value=4491","layer":4},{"info":"number node, value=4148","layer":4},{"info":"compute binary expreesion, left_input=4491, right_input=4148, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3675","layer":3},{"info":"compute binary expreesion, left_input=10676, right_input=3675, 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=61513","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=61513, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=123026","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=123026, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=246052","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10011000100⨟⋌⩍≮⫘↔111011001110+⇶⊼(≮⫘↔1011000010010⨳⩥⨓≮⫘↔111100010001))∼((≮⫘↔100101101111⇋≉)⊭↱≮⫘↔1111011101100⩚⊴⇥≮⫘↔1100000111100)⇷(≮⫘↔1010111011000%≮⫘↔10111001000/(≮⫘↔101011100001≣⋋))⇷(≮⫘↔1010101101000+≮⫘↔1010001001100⫡⨏≮⫘↔1000110001011≧⫂∧≮⫘↔1000000110100)=≮⫘↔111100000100100100","reverse_text":"≮⫘↔111100000100100100=(≮⫘↔10011000100⨟⋌⩍≮⫘↔111011001110+⇶⊼(≮⫘↔1011000010010⨳⩥⨓≮⫘↔111100010001))∼((≮⫘↔100101101111⇋≉)⊭↱≮⫘↔1111011101100⩚⊴⇥≮⫘↔1100000111100)⇷(≮⫘↔1010111011000%≮⫘↔10111001000/(≮⫘↔101011100001≣⋋))⇷(≮⫘↔1010101101000+≮⫘↔1010001001100⫡⨏≮⫘↔1000110001011≧⫂∧≮⫘↔1000000110100)","cot":[{"info":"≮⫘↔10011000100⨟⋌⩍≮⫘↔111011001110=NaN","layer":3},{"info":"≮⫘↔1011000010010⨳⩥⨓≮⫘↔111100010001=≮⫘↔-11100000001","layer":3},{"info":"NaN+⇶⊼≮⫘↔-11100000001=NaN","layer":2},{"info":"≮⫘↔100101101111⇋≉=≮⫘↔1001001111100","layer":3},{"info":"≮⫘↔1111011101100⩚⊴⇥≮⫘↔1100000111100=≮⫘↔-11011110100001","layer":3},{"info":"≮⫘↔1001001111100⊭↱≮⫘↔-11011110100001=≮⫘↔-1001010000110101","layer":2},{"info":"NaN∼≮⫘↔-1001010000110101=NaN","layer":1},{"info":"≮⫘↔1010111011000%≮⫘↔10111001000=≮⫘↔10010000000","layer":3},{"info":"≮⫘↔101011100001≣⋋=≮⫘↔0","layer":3},{"info":"≮⫘↔10010000000/≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔1010101101000+≮⫘↔1010001001100=≮⫘↔10100110110100","layer":3},{"info":"≮⫘↔1000110001011≧⫂∧≮⫘↔1000000110100=≮⫘↔111001011011","layer":3},{"info":"≮⫘↔10100110110100⫡⨏≮⫘↔111001011011=≮⫘↔1111000001001001","layer":2},{"info":"NaN⇷≮⫘↔1111000001001001=≮⫘↔11110000010010010","layer":1},{"info":"NaN⇷≮⫘↔11110000010010010=≮⫘↔111100000100100100","layer":0}]}
{"id":22,"expression_no_base_symbol":"+⊝⨔(⪝⪂⫅(($3047$⫥∨⫟$1196$)≎⊠⪸($2659$⨳⩥⨓$1401$)))","expression":"+⊝⨔(⪝⪂⫅((≮⫘↔101111100111⫥∨⫟≮⫘↔10010101100)≎⊠⪸(≮⫘↔101001100011⨳⩥⨓≮⫘↔10101111001)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":258,"operation_count":5,"complexity_ratio":51.6,"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":3047,"base":2},"right_expr":{"type":"numeric_atoms","value":1196,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2659,"base":2},"right_expr":{"type":"numeric_atoms","value":1401,"base":2}}}}},"used_operators":["DhbWaqg5eL","XTarYq4gQB","bJkvcejdHO","KYD54nUTWz","nCS4ZIUYfx"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z"],"result":"≮⫘↔10111110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3047","layer":4},{"info":"number node, value=1196","layer":4},{"info":"compute binary expreesion, left_input=3047, right_input=1196, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2659","layer":4},{"info":"number node, value=1401","layer":4},{"info":"compute binary expreesion, left_input=2659, right_input=1401, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1258","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1258, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-9849","layer":1},{"info":"compute unary expreesion, input=-9849, 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":2,"result_base":2,"text":"+⊝⨔(⪝⪂⫅((≮⫘↔101111100111⫥∨⫟≮⫘↔10010101100)≎⊠⪸(≮⫘↔101001100011⨳⩥⨓≮⫘↔10101111001)))=≮⫘↔10111110010","reverse_text":"≮⫘↔10111110010=+⊝⨔(⪝⪂⫅((≮⫘↔101111100111⫥∨⫟≮⫘↔10010101100)≎⊠⪸(≮⫘↔101001100011⨳⩥⨓≮⫘↔10101111001)))","cot":[{"info":"≮⫘↔101111100111⫥∨⫟≮⫘↔10010101100=NaN","layer":3},{"info":"≮⫘↔101001100011⨳⩥⨓≮⫘↔10101111001=≮⫘↔-10011101010","layer":3},{"info":"NaN≎⊠⪸≮⫘↔-10011101010=≮⫘↔1000011","layer":2},{"info":"⪝⪂⫅≮⫘↔1000011=≮⫘↔-10011001111001","layer":1},{"info":"+⊝⨔≮⫘↔-10011001111001=≮⫘↔10111110010","layer":0}]}
{"id":23,"expression_no_base_symbol":"((⇁⨣⪵($1477$⪒$1578$))⩤)↺(↔($2132$*$1741$%$5394$-$1507$))","expression":"((⇁⨣⪵(≮⫘↔10111000101⪒≮⫘↔11000101010))⩤)↺(↔(≮⫘↔100001010100*≮⫘↔11011001101%≮⫘↔1010100010010-≮⫘↔10111100011))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2710,"operation_count":8,"complexity_ratio":338.75,"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":1477,"base":2},"right_expr":{"type":"numeric_atoms","value":1578,"base":2}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2132,"base":2},"right_expr":{"type":"numeric_atoms","value":1741,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5394,"base":2},"right_expr":{"type":"numeric_atoms","value":1507,"base":2}}}}},"used_operators":["7j4O788W3g","Z2TMIBDE3Q","inkyxCbjAn","f6k1SAg4EE","ruOEQAzv1W","k8jYdgA6NY","9HNa5Wba9A","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe"],"result":"≮⫘↔-110100001101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1477","layer":4},{"info":"number node, value=1578","layer":4},{"info":"compute binary expreesion, left_input=1477, right_input=1578, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3055","layer":3},{"info":"compute unary expreesion, input=-3055, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":1},{"info":"number node, value=2132","layer":4},{"info":"number node, value=1741","layer":4},{"info":"compute binary expreesion, left_input=2132, right_input=1741, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3711812","layer":3},{"info":"number node, value=5394","layer":4},{"info":"number node, value=1507","layer":4},{"info":"compute binary expreesion, left_input=5394, right_input=1507, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3887","layer":3},{"info":"compute binary expreesion, left_input=3711812, right_input=3887, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3614","layer":2},{"info":"compute unary expreesion, input=3614, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3341","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3341, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-3341","layer":0}],"base":2,"result_base":2,"text":"((⇁⨣⪵(≮⫘↔10111000101⪒≮⫘↔11000101010))⩤)↺(↔(≮⫘↔100001010100*≮⫘↔11011001101%≮⫘↔1010100010010-≮⫘↔10111100011))=≮⫘↔-110100001101","reverse_text":"≮⫘↔-110100001101=((⇁⨣⪵(≮⫘↔10111000101⪒≮⫘↔11000101010))⩤)↺(↔(≮⫘↔100001010100*≮⫘↔11011001101%≮⫘↔1010100010010-≮⫘↔10111100011))","cot":[{"info":"≮⫘↔10111000101⪒≮⫘↔11000101010=≮⫘↔-101111101111","layer":3},{"info":"⇁⨣⪵≮⫘↔-101111101111=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"≮⫘↔100001010100*≮⫘↔11011001101=≮⫘↔1110001010001101000100","layer":3},{"info":"≮⫘↔1010100010010-≮⫘↔10111100011=≮⫘↔111100101111","layer":3},{"info":"≮⫘↔1110001010001101000100%≮⫘↔111100101111=≮⫘↔111000011110","layer":2},{"info":"↔≮⫘↔111000011110=≮⫘↔-110100001101","layer":1},{"info":"NaN↺≮⫘↔-110100001101=≮⫘↔-110100001101","layer":0}]}
{"id":24,"expression_no_base_symbol":"((+⊝⨔(⨑⩽⪐$4007$))⊭↱($4099$⪢$4413$⇼⇔∾$6803$∑⇟⊟$5504$))⫩⊇","expression":"((+⊝⨔(⨑⩽⪐≮⫘↔111110100111))⊭↱(≮⫘↔1000000000011⪢≮⫘↔1000100111101⇼⇔∾≮⫘↔1101010010011∑⇟⊟≮⫘↔1010110000000))⫩⊇","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4448,"operation_count":7,"complexity_ratio":635.4285714285714,"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":4007,"base":2}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4099,"base":2},"right_expr":{"type":"numeric_atoms","value":4413,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6803,"base":2},"right_expr":{"type":"numeric_atoms","value":5504,"base":2}}}}},"used_operators":["BjRHVeLaeN","COABgblf1C","DhbWaqg5eL","AF7qkfDlqP","tifHPKVTfV","dWAJyo7jo9","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4007","layer":4},{"info":"compute unary expreesion, input=4007, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3734","layer":3},{"info":"compute unary expreesion, input=-3734, 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=4099","layer":4},{"info":"number node, value=4413","layer":4},{"info":"compute binary expreesion, left_input=4099, right_input=4413, 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=6803","layer":4},{"info":"number node, value=5504","layer":4},{"info":"compute binary expreesion, left_input=6803, right_input=5504, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1522, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((+⊝⨔(⨑⩽⪐≮⫘↔111110100111))⊭↱(≮⫘↔1000000000011⪢≮⫘↔1000100111101⇼⇔∾≮⫘↔1101010010011∑⇟⊟≮⫘↔1010110000000))⫩⊇=NaN","reverse_text":"NaN=((+⊝⨔(⨑⩽⪐≮⫘↔111110100111))⊭↱(≮⫘↔1000000000011⪢≮⫘↔1000100111101⇼⇔∾≮⫘↔1101010010011∑⇟⊟≮⫘↔1010110000000))⫩⊇","cot":[{"info":"⨑⩽⪐≮⫘↔111110100111=≮⫘↔-111010010110","layer":3},{"info":"+⊝⨔≮⫘↔-111010010110=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔1000000000011⪢≮⫘↔1000100111101=NaN","layer":3},{"info":"≮⫘↔1101010010011∑⇟⊟≮⫘↔1010110000000=NaN","layer":3},{"info":"NaN⇼⇔∾NaN=NaN","layer":2},{"info":"≮⫘↔10111110010⊭↱NaN=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":25,"expression_no_base_symbol":"((($6538$≫≃)∲⫓$4081$≧⫂∧$1693$)%(↥$7875$)⋥≓≎(↩$1017$))⫥∨⫟(($3212$⇋≉)⪛(⨞⊢$1548$)⩨($1475$⨰$2550$⫡⨏($6021$⩠)))","expression":"(((≮⫘↔1100110001010≫≃)∲⫓≮⫘↔111111110001≧⫂∧≮⫘↔11010011101)%(↥≮⫘↔1111011000011)⋥≓≎(↩≮⫘↔1111111001))⫥∨⫟((≮⫘↔110010001100⇋≉)⪛(⨞⊢≮⫘↔11000001100)⩨(≮⫘↔10111000011⨰≮⫘↔100111110110⫡⨏(≮⫘↔1011110000101⩠)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":392,"operation_count":15,"complexity_ratio":26.133333333333333,"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":6538,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4081,"base":2},"right_expr":{"type":"numeric_atoms","value":1693,"base":2}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":7875,"base":2}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1017,"base":2}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3212,"base":2}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1548,"base":2}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1475,"base":2},"right_expr":{"type":"numeric_atoms","value":2550,"base":2}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":6021,"base":2}}}}},"used_operators":["KYD54nUTWz","k8jYdgA6NY","i8ToyICDmI","X99M06cbEe","Ph9nP6C5qx","Qy55tPpLXF","A8NUZmVepG","jLgFTUHLKL","2DlMacCsIx","uFcxV4UQCh","XIabStNQrY","xUOZtlo3hN","QMFrweE19q","eewbuw0ToL","sJAwomhLZr"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6538","layer":4},{"info":"compute unary expreesion, input=6538, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=14477","layer":3},{"info":"number node, value=4081","layer":4},{"info":"number node, value=1693","layer":4},{"info":"compute binary expreesion, left_input=4081, right_input=1693, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1220","layer":3},{"info":"compute binary expreesion, left_input=14477, right_input=1220, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=7875","layer":4},{"info":"compute unary expreesion, input=7875, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=21","layer":3},{"info":"number node, value=1017","layer":4},{"info":"compute unary expreesion, input=1017, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5356","layer":3},{"info":"compute binary expreesion, left_input=21, right_input=-5356, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-10700","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-10700, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=3212","layer":4},{"info":"compute unary expreesion, input=3212, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=6326","layer":3},{"info":"number node, value=1548","layer":4},{"info":"compute unary expreesion, input=1548, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1722","layer":3},{"info":"compute binary expreesion, left_input=6326, right_input=-1722, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-562","layer":2},{"info":"number node, value=1475","layer":4},{"info":"number node, value=2550","layer":4},{"info":"compute binary expreesion, left_input=1475, right_input=2550, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1065","layer":3},{"info":"number node, value=6021","layer":4},{"info":"compute unary expreesion, input=6021, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1065, 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=-4542","layer":2},{"info":"compute binary expreesion, left_input=-562, right_input=-4542, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-24","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-24, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1100110001010≫≃)∲⫓≮⫘↔111111110001≧⫂∧≮⫘↔11010011101)%(↥≮⫘↔1111011000011)⋥≓≎(↩≮⫘↔1111111001))⫥∨⫟((≮⫘↔110010001100⇋≉)⪛(⨞⊢≮⫘↔11000001100)⩨(≮⫘↔10111000011⨰≮⫘↔100111110110⫡⨏(≮⫘↔1011110000101⩠)))=NaN","reverse_text":"NaN=(((≮⫘↔1100110001010≫≃)∲⫓≮⫘↔111111110001≧⫂∧≮⫘↔11010011101)%(↥≮⫘↔1111011000011)⋥≓≎(↩≮⫘↔1111111001))⫥∨⫟((≮⫘↔110010001100⇋≉)⪛(⨞⊢≮⫘↔11000001100)⩨(≮⫘↔10111000011⨰≮⫘↔100111110110⫡⨏(≮⫘↔1011110000101⩠)))","cot":[{"info":"≮⫘↔1100110001010≫≃=≮⫘↔11100010001101","layer":3},{"info":"≮⫘↔111111110001≧⫂∧≮⫘↔11010011101=≮⫘↔10011000100","layer":3},{"info":"≮⫘↔11100010001101∲⫓≮⫘↔10011000100=≮⫘↔0","layer":2},{"info":"↥≮⫘↔1111011000011=≮⫘↔10101","layer":3},{"info":"↩≮⫘↔1111111001=≮⫘↔-1010011101100","layer":3},{"info":"≮⫘↔10101⋥≓≎≮⫘↔-1010011101100=≮⫘↔-10100111001100","layer":2},{"info":"≮⫘↔0%≮⫘↔-10100111001100=≮⫘↔0","layer":1},{"info":"≮⫘↔110010001100⇋≉=≮⫘↔1100010110110","layer":3},{"info":"⨞⊢≮⫘↔11000001100=≮⫘↔-11010111010","layer":3},{"info":"≮⫘↔1100010110110⪛≮⫘↔-11010111010=≮⫘↔-1000110010","layer":2},{"info":"≮⫘↔10111000011⨰≮⫘↔100111110110=≮⫘↔-10000101001","layer":3},{"info":"≮⫘↔1011110000101⩠=≮⫘↔0","layer":3},{"info":"≮⫘↔-10000101001⫡⨏≮⫘↔0=≮⫘↔-1000110111110","layer":2},{"info":"≮⫘↔-1000110010⩨≮⫘↔-1000110111110=≮⫘↔-11000","layer":1},{"info":"≮⫘↔0⫥∨⫟≮⫘↔-11000=NaN","layer":0}]}
{"id":26,"expression_no_base_symbol":"((($2661$⩠)⋳⪒($4982$⨐⩸⫘$1901$))∀⇚≩(($1744$∧)⫸⊐($1445$⋷$3872$)))∼((($4149$≦≮≮)⪠⩆⊳)≫≃)","expression":"(((≮⫘↔101001100101⩠)⋳⪒(≮⫘↔1001101110110⨐⩸⫘≮⫘↔11101101101))∀⇚≩((≮⫘↔11011010000∧)⫸⊐(≮⫘↔10110100101⋷≮⫘↔111100100000)))∼(((≮⫘↔1000000110101≦≮≮)⪠⩆⊳)≫≃)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":59,"operation_count":11,"complexity_ratio":5.363636363636363,"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":2661,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4982,"base":2},"right_expr":{"type":"numeric_atoms","value":1901,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1744,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1445,"base":2},"right_expr":{"type":"numeric_atoms","value":3872,"base":2}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4149,"base":2}}}}},"used_operators":["DyGG3AbaNP","LRNGc0VcxI","12rbrZMWeM","sJAwomhLZr","fu6greOZ01","mqXw5SEYmG","z63VuFQld9","23Mk6UjR3U","X99M06cbEe","JLbD19bQDL","D4vGDi5EA2"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2661","layer":4},{"info":"compute unary expreesion, input=2661, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=4982","layer":4},{"info":"number node, value=1901","layer":4},{"info":"compute binary expreesion, left_input=4982, right_input=1901, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=1744","layer":4},{"info":"compute unary expreesion, input=1744, 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=1445","layer":4},{"info":"number node, value=3872","layer":4},{"info":"compute binary expreesion, left_input=1445, right_input=3872, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6299","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6299, 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 = 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=4149","layer":4},{"info":"compute unary expreesion, input=4149, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-12447","layer":3},{"info":"compute unary expreesion, input=-12447, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1401","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1401, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔101001100101⩠)⋳⪒(≮⫘↔1001101110110⨐⩸⫘≮⫘↔11101101101))∀⇚≩((≮⫘↔11011010000∧)⫸⊐(≮⫘↔10110100101⋷≮⫘↔111100100000)))∼(((≮⫘↔1000000110101≦≮≮)⪠⩆⊳)≫≃)=NaN","reverse_text":"NaN=(((≮⫘↔101001100101⩠)⋳⪒(≮⫘↔1001101110110⨐⩸⫘≮⫘↔11101101101))∀⇚≩((≮⫘↔11011010000∧)⫸⊐(≮⫘↔10110100101⋷≮⫘↔111100100000)))∼(((≮⫘↔1000000110101≦≮≮)⪠⩆⊳)≫≃)","cot":[{"info":"≮⫘↔101001100101⩠=≮⫘↔0","layer":3},{"info":"≮⫘↔1001101110110⨐⩸⫘≮⫘↔11101101101=NaN","layer":3},{"info":"≮⫘↔0⋳⪒NaN=NaN","layer":2},{"info":"≮⫘↔11011010000∧=NaN","layer":3},{"info":"≮⫘↔10110100101⋷≮⫘↔111100100000=≮⫘↔1100010011011","layer":3},{"info":"NaN⫸⊐≮⫘↔1100010011011=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"≮⫘↔1000000110101≦≮≮=≮⫘↔-11000010011111","layer":3},{"info":"≮⫘↔-11000010011111⪠⩆⊳=≮⫘↔0","layer":2},{"info":"≮⫘↔0≫≃=≮⫘↔10101111001","layer":1},{"info":"NaN∼≮⫘↔10101111001=NaN","layer":0}]}
{"id":27,"expression_no_base_symbol":"((⊥$3599$)⋳⪒$7230$∑⇟⊟$4027$/(≦∁$1339$⨟⋌⩍$1334$))⨎(($5838$≭$4033$*$8652$⋥≓≎$1109$)⪐)","expression":"((⊥≮⫘↔111000001111)⋳⪒≮⫘↔1110000111110∑⇟⊟≮⫘↔111110111011/(≦∁≮⫘↔10100111011⨟⋌⩍≮⫘↔10100110110))⨎((≮⫘↔1011011001110≭≮⫘↔111111000001*≮⫘↔10000111001100⋥≓≎≮⫘↔10001010101)⪐)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21,"operation_count":11,"complexity_ratio":1.9090909090909092,"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":3599,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7230,"base":2},"right_expr":{"type":"numeric_atoms","value":4027,"base":2}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1339,"base":2},"right_expr":{"type":"numeric_atoms","value":1334,"base":2}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5838,"base":2},"right_expr":{"type":"numeric_atoms","value":4033,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":8652,"base":2},"right_expr":{"type":"numeric_atoms","value":1109,"base":2}}}}},"used_operators":["rJVOvQCfKK","XhwjNDsVaA","12rbrZMWeM","Q3PJZHRvZv","U7g4x0WXJJ","9ICcGScMcE","rGHVDoGpnC","eH2TOUuTDT","9HNa5Wba9A","rxpJgHHUmx","Qy55tPpLXF"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=3599","layer":4},{"info":"compute unary expreesion, input=3599, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=7230","layer":4},{"info":"number node, value=4027","layer":4},{"info":"compute binary expreesion, left_input=7230, right_input=4027, 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=1339","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=1339, right_input=1334, 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 = 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=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5838","layer":4},{"info":"number node, value=4033","layer":4},{"info":"compute binary expreesion, left_input=5838, right_input=4033, 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=8652","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=8652, right_input=1109, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-6401","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6401, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⊥≮⫘↔111000001111)⋳⪒≮⫘↔1110000111110∑⇟⊟≮⫘↔111110111011/(≦∁≮⫘↔10100111011⨟⋌⩍≮⫘↔10100110110))⨎((≮⫘↔1011011001110≭≮⫘↔111111000001*≮⫘↔10000111001100⋥≓≎≮⫘↔10001010101)⪐)=NaN","reverse_text":"NaN=((⊥≮⫘↔111000001111)⋳⪒≮⫘↔1110000111110∑⇟⊟≮⫘↔111110111011/(≦∁≮⫘↔10100111011⨟⋌⩍≮⫘↔10100110110))⨎((≮⫘↔1011011001110≭≮⫘↔111111000001*≮⫘↔10000111001100⋥≓≎≮⫘↔10001010101)⪐)","cot":[{"info":"⊥≮⫘↔111000001111=NaN","layer":3},{"info":"≮⫘↔1110000111110∑⇟⊟≮⫘↔111110111011=NaN","layer":3},{"info":"NaN⋳⪒NaN=NaN","layer":2},{"info":"≮⫘↔10100111011⨟⋌⩍≮⫘↔10100110110=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"≮⫘↔1011011001110≭≮⫘↔111111000001=NaN","layer":3},{"info":"≮⫘↔10000111001100⋥≓≎≮⫘↔10001010101=≮⫘↔-1100100000001","layer":3},{"info":"NaN*≮⫘↔-1100100000001=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":28,"expression_no_base_symbol":"($3198$*$2592$⊉≛↸(⩦⩻⨪$3086$))∼($3572$+⇶⊼$1829$⨐⩸⫘(≤/$7520$))⊭∹↮","expression":"(≮⫘↔110001111110*≮⫘↔101000100000⊉≛↸(⩦⩻⨪≮⫘↔110000001110))∼(≮⫘↔110111110100+⇶⊼≮⫘↔11100100101⨐⩸⫘(≤/≮⫘↔1110101100000))⊭∹↮","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":327675,"operation_count":8,"complexity_ratio":40959.375,"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":3198,"base":2},"right_expr":{"type":"numeric_atoms","value":2592,"base":2}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3086,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3572,"base":2},"right_expr":{"type":"numeric_atoms","value":1829,"base":2}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":7520,"base":2}}}}},"used_operators":["xNBdhnnwKq","DyGG3AbaNP","DZ8iAZOCBD","9HNa5Wba9A","2td37pGCOC","fu6greOZ01","TpPTUOHfaN","eLAdDNolq6"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","AHs5Up7iyr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3198","layer":4},{"info":"number node, value=2592","layer":4},{"info":"compute binary expreesion, left_input=3198, right_input=2592, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8289216","layer":3},{"info":"number node, value=3086","layer":4},{"info":"compute unary expreesion, input=3086, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3086","layer":3},{"info":"compute binary expreesion, left_input=8289216, right_input=3086, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=16578432","layer":2},{"info":"number node, value=3572","layer":4},{"info":"number node, value=1829","layer":4},{"info":"compute binary expreesion, left_input=3572, right_input=1829, 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=7520","layer":4},{"info":"compute unary expreesion, input=7520, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-7036","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7036, 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=16578432, 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":1},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110001111110*≮⫘↔101000100000⊉≛↸(⩦⩻⨪≮⫘↔110000001110))∼(≮⫘↔110111110100+⇶⊼≮⫘↔11100100101⨐⩸⫘(≤/≮⫘↔1110101100000))⊭∹↮=NaN","reverse_text":"NaN=(≮⫘↔110001111110*≮⫘↔101000100000⊉≛↸(⩦⩻⨪≮⫘↔110000001110))∼(≮⫘↔110111110100+⇶⊼≮⫘↔11100100101⨐⩸⫘(≤/≮⫘↔1110101100000))⊭∹↮","cot":[{"info":"≮⫘↔110001111110*≮⫘↔101000100000=≮⫘↔11111100111101111000000","layer":3},{"info":"⩦⩻⨪≮⫘↔110000001110=≮⫘↔110000001110","layer":3},{"info":"≮⫘↔11111100111101111000000⊉≛↸≮⫘↔110000001110=≮⫘↔111111001111011110000000","layer":2},{"info":"≮⫘↔110111110100+⇶⊼≮⫘↔11100100101=NaN","layer":3},{"info":"≤/≮⫘↔1110101100000=≮⫘↔-1101101111100","layer":3},{"info":"NaN⨐⩸⫘≮⫘↔-1101101111100=NaN","layer":2},{"info":"≮⫘↔111111001111011110000000∼NaN=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":29,"expression_no_base_symbol":"(($2865$⫥∨⫟$1756$)⇋≉)⇼⇔∾$4042$⨓$1592$⪄($2457$≋⫹)⩨(($2449$⋥≓≎$2418$)⨽$1114$⋥≓≎$3119$)↬($2705$≦≮≮)⨪↰⇹($1443$⫥∨⫟$2422$)","expression":"((≮⫘↔101100110001⫥∨⫟≮⫘↔11011011100)⇋≉)⇼⇔∾≮⫘↔111111001010⨓≮⫘↔11000111000⪄(≮⫘↔100110011001≋⫹)⩨((≮⫘↔100110010001⋥≓≎≮⫘↔100101110010)⨽≮⫘↔10001011010⋥≓≎≮⫘↔110000101111)↬(≮⫘↔101010010001≦≮≮)⨪↰⇹(≮⫘↔10110100011⫥∨⫟≮⫘↔100101110110)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12566,"operation_count":14,"complexity_ratio":897.5714285714286,"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":2865,"base":2},"right_expr":{"type":"numeric_atoms","value":1756,"base":2}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4042,"base":2},"right_expr":{"type":"numeric_atoms","value":1592,"base":2}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2457,"base":2}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2449,"base":2},"right_expr":{"type":"numeric_atoms","value":2418,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1114,"base":2},"right_expr":{"type":"numeric_atoms","value":3119,"base":2}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2705,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1443,"base":2},"right_expr":{"type":"numeric_atoms","value":2422,"base":2}}}}},"used_operators":["2DlMacCsIx","tifHPKVTfV","XIabStNQrY","KYD54nUTWz","SUmda5xLS4","3ViojmjbAp","N41Kp7NANJ","B5M0gjZbta","8HhzD0ZcuI","Qy55tPpLXF","tmPS8pqC7x","D4vGDi5EA2"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2865","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=2865, right_input=1756, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":2},{"info":"number node, value=4042","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=4042, right_input=1592, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1595","layer":3},{"info":"number node, value=2457","layer":4},{"info":"compute unary expreesion, input=2457, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4914","layer":3},{"info":"compute binary expreesion, left_input=-1595, right_input=-4914, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=2449","layer":4},{"info":"number node, value=2418","layer":4},{"info":"compute binary expreesion, left_input=2449, right_input=2418, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2420","layer":3},{"info":"number node, value=1114","layer":4},{"info":"number node, value=3119","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=3119, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5157","layer":3},{"info":"compute binary expreesion, left_input=2420, right_input=5157, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-17583357","layer":2},{"info":"number node, value=2705","layer":4},{"info":"compute unary expreesion, input=2705, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-8115","layer":3},{"info":"number node, value=1443","layer":4},{"info":"number node, value=2422","layer":4},{"info":"compute binary expreesion, left_input=1443, right_input=2422, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8115, 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=8115","layer":2},{"info":"compute binary expreesion, left_input=-17583357, right_input=8115, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101100110001⫥∨⫟≮⫘↔11011011100)⇋≉)⇼⇔∾≮⫘↔111111001010⨓≮⫘↔11000111000⪄(≮⫘↔100110011001≋⫹)⩨((≮⫘↔100110010001⋥≓≎≮⫘↔100101110010)⨽≮⫘↔10001011010⋥≓≎≮⫘↔110000101111)↬(≮⫘↔101010010001≦≮≮)⨪↰⇹(≮⫘↔10110100011⫥∨⫟≮⫘↔100101110110)=NaN","reverse_text":"NaN=((≮⫘↔101100110001⫥∨⫟≮⫘↔11011011100)⇋≉)⇼⇔∾≮⫘↔111111001010⨓≮⫘↔11000111000⪄(≮⫘↔100110011001≋⫹)⩨((≮⫘↔100110010001⋥≓≎≮⫘↔100101110010)⨽≮⫘↔10001011010⋥≓≎≮⫘↔110000101111)↬(≮⫘↔101010010001≦≮≮)⨪↰⇹(≮⫘↔10110100011⫥∨⫟≮⫘↔100101110110)","cot":[{"info":"≮⫘↔101100110001⫥∨⫟≮⫘↔11011011100=NaN","layer":3},{"info":"NaN⇋≉=NaN","layer":2},{"info":"≮⫘↔111111001010⨓≮⫘↔11000111000=≮⫘↔-11000111011","layer":3},{"info":"≮⫘↔100110011001≋⫹=≮⫘↔-1001100110010","layer":3},{"info":"≮⫘↔-11000111011⪄≮⫘↔-1001100110010=≮⫘↔111110001011","layer":2},{"info":"NaN⇼⇔∾≮⫘↔111110001011=NaN","layer":1},{"info":"≮⫘↔100110010001⋥≓≎≮⫘↔100101110010=≮⫘↔100101110100","layer":3},{"info":"≮⫘↔10001011010⋥≓≎≮⫘↔110000101111=≮⫘↔1010000100101","layer":3},{"info":"≮⫘↔100101110100⨽≮⫘↔1010000100101=≮⫘↔-1000011000100110011111101","layer":2},{"info":"≮⫘↔101010010001≦≮≮=≮⫘↔-1111110110011","layer":3},{"info":"≮⫘↔10110100011⫥∨⫟≮⫘↔100101110110=NaN","layer":3},{"info":"≮⫘↔-1111110110011⨪↰⇹NaN=≮⫘↔1111110110011","layer":2},{"info":"≮⫘↔-1000011000100110011111101↬≮⫘↔1111110110011=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
{"id":30,"expression_no_base_symbol":"+⊝⨔((($4302$≎⊠⪸$3513$)≫≃)⨐⩸⫘(⪝⪂⫅($3805$⋳⪒$4163$)))","expression":"+⊝⨔(((≮⫘↔1000011001110≎⊠⪸≮⫘↔110110111001)≫≃)⨐⩸⫘(⪝⪂⫅(≮⫘↔111011011101⋳⪒≮⫘↔1000001000011)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":455,"operation_count":6,"complexity_ratio":75.83333333333333,"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":4302,"base":2},"right_expr":{"type":"numeric_atoms","value":3513,"base":2}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3805,"base":2},"right_expr":{"type":"numeric_atoms","value":4163,"base":2}}}}},"used_operators":["DhbWaqg5eL","fu6greOZ01","X99M06cbEe","bJkvcejdHO","XTarYq4gQB","12rbrZMWeM"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","3ViojmjbAp","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔10111110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4302","layer":4},{"info":"number node, value=3513","layer":4},{"info":"compute binary expreesion, left_input=4302, right_input=3513, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1113745","layer":3},{"info":"compute unary expreesion, input=1113745, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=2228891","layer":2},{"info":"number node, value=3805","layer":4},{"info":"number node, value=4163","layer":4},{"info":"compute binary expreesion, left_input=3805, right_input=4163, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3160","layer":3},{"info":"compute unary expreesion, input=3160, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-464520","layer":2},{"info":"compute binary expreesion, left_input=2228891, right_input=-464520, 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 = 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":2,"result_base":2,"text":"+⊝⨔(((≮⫘↔1000011001110≎⊠⪸≮⫘↔110110111001)≫≃)⨐⩸⫘(⪝⪂⫅(≮⫘↔111011011101⋳⪒≮⫘↔1000001000011)))=≮⫘↔10111110010","reverse_text":"≮⫘↔10111110010=+⊝⨔(((≮⫘↔1000011001110≎⊠⪸≮⫘↔110110111001)≫≃)⨐⩸⫘(⪝⪂⫅(≮⫘↔111011011101⋳⪒≮⫘↔1000001000011)))","cot":[{"info":"≮⫘↔1000011001110≎⊠⪸≮⫘↔110110111001=≮⫘↔100001111111010010001","layer":3},{"info":"≮⫘↔100001111111010010001≫≃=≮⫘↔1000100000001010011011","layer":2},{"info":"≮⫘↔111011011101⋳⪒≮⫘↔1000001000011=≮⫘↔110001011000","layer":3},{"info":"⪝⪂⫅≮⫘↔110001011000=≮⫘↔-1110001011010001000","layer":2},{"info":"≮⫘↔1000100000001010011011⨐⩸⫘≮⫘↔-1110001011010001000=NaN","layer":1},{"info":"+⊝⨔NaN=≮⫘↔10111110010","layer":0}]}
{"id":31,"expression_no_base_symbol":"((⨵≀≌$1853$)↺$4342$⨐⩸⫘$1228$⪐)∼($3527$⪛$2580$∀⇚≩($2647$⨽$1207$)⪨≂($3543$⨳⩥⨓$3750$)⨓($4502$⋓$5748$))","expression":"((⨵≀≌≮⫘↔11100111101)↺≮⫘↔1000011110110⨐⩸⫘≮⫘↔10011001100⪐)∼(≮⫘↔110111000111⪛≮⫘↔101000010100∀⇚≩(≮⫘↔101001010111⨽≮⫘↔10010110111)⪨≂(≮⫘↔110111010111⨳⩥⨓≮⫘↔111010100110)⨓(≮⫘↔1000110010110⋓≮⫘↔1011001110100))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9328,"operation_count":12,"complexity_ratio":777.3333333333334,"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":1853,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4342,"base":2},"right_expr":{"type":"numeric_atoms","value":1228,"base":2}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3527,"base":2},"right_expr":{"type":"numeric_atoms","value":2580,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2647,"base":2},"right_expr":{"type":"numeric_atoms","value":1207,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3543,"base":2},"right_expr":{"type":"numeric_atoms","value":3750,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4502,"base":2},"right_expr":{"type":"numeric_atoms","value":5748,"base":2}}}}},"used_operators":["DyGG3AbaNP","eH2TOUuTDT","7j4O788W3g","srAu1WTS94","fu6greOZ01","sdazOOVcIp","LRNGc0VcxI","uFcxV4UQCh","8HhzD0ZcuI","3ViojmjbAp","nCS4ZIUYfx","T2fj7uvVaJ"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1853","layer":4},{"info":"compute unary expreesion, input=1853, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5559","layer":3},{"info":"number node, value=4342","layer":4},{"info":"number node, value=1228","layer":4},{"info":"compute binary expreesion, left_input=4342, right_input=1228, 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=-5559, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"info":"number node, value=3527","layer":4},{"info":"number node, value=2580","layer":4},{"info":"compute binary expreesion, left_input=3527, right_input=2580, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=947","layer":3},{"info":"number node, value=2647","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=2647, right_input=1207, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-21022134","layer":3},{"info":"compute binary expreesion, left_input=947, right_input=-21022134, 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=3543","layer":4},{"info":"number node, value=3750","layer":4},{"info":"compute binary expreesion, left_input=3543, right_input=3750, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=207","layer":3},{"info":"number node, value=4502","layer":4},{"info":"number node, value=5748","layer":4},{"info":"compute binary expreesion, left_input=4502, right_input=5748, 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=207, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨵≀≌≮⫘↔11100111101)↺≮⫘↔1000011110110⨐⩸⫘≮⫘↔10011001100⪐)∼(≮⫘↔110111000111⪛≮⫘↔101000010100∀⇚≩(≮⫘↔101001010111⨽≮⫘↔10010110111)⪨≂(≮⫘↔110111010111⨳⩥⨓≮⫘↔111010100110)⨓(≮⫘↔1000110010110⋓≮⫘↔1011001110100))=NaN","reverse_text":"NaN=((⨵≀≌≮⫘↔11100111101)↺≮⫘↔1000011110110⨐⩸⫘≮⫘↔10011001100⪐)∼(≮⫘↔110111000111⪛≮⫘↔101000010100∀⇚≩(≮⫘↔101001010111⨽≮⫘↔10010110111)⪨≂(≮⫘↔110111010111⨳⩥⨓≮⫘↔111010100110)⨓(≮⫘↔1000110010110⋓≮⫘↔1011001110100))","cot":[{"info":"⨵≀≌≮⫘↔11100111101=≮⫘↔-1010110110111","layer":3},{"info":"≮⫘↔1000011110110⨐⩸⫘≮⫘↔10011001100=NaN","layer":3},{"info":"≮⫘↔-1010110110111↺NaN=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"≮⫘↔110111000111⪛≮⫘↔101000010100=≮⫘↔1110110011","layer":3},{"info":"≮⫘↔101001010111⨽≮⫘↔10010110111=≮⫘↔-1010000001100010110110110","layer":3},{"info":"≮⫘↔1110110011∀⇚≩≮⫘↔-1010000001100010110110110=NaN","layer":2},{"info":"≮⫘↔110111010111⨳⩥⨓≮⫘↔111010100110=≮⫘↔11001111","layer":3},{"info":"≮⫘↔1000110010110⋓≮⫘↔1011001110100=≮⫘↔0","layer":3},{"info":"≮⫘↔11001111⨓≮⫘↔0=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":32,"expression_no_base_symbol":"((≤/($1346$-$1544$))↙$4417$≹⇙⪍$3739$⪛($7867$⇼⇔∾$1709$))⋓($1574$≹⇙⪍$5156$⨟⋌⩍($2208$⪨≂$5205$)⩚⊴⇥(↽≂($1617$↙$3512$)))","expression":"((≤/(≮⫘↔10101000010-≮⫘↔11000001000))↙≮⫘↔1000101000001≹⇙⪍≮⫘↔111010011011⪛(≮⫘↔1111010111011⇼⇔∾≮⫘↔11010101101))⋓(≮⫘↔11000100110≹⇙⪍≮⫘↔1010000100100⨟⋌⩍(≮⫘↔100010100000⪨≂≮⫘↔1010001010101)⩚⊴⇥(↽≂(≮⫘↔11001010001↙≮⫘↔110110111000)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3554,"operation_count":13,"complexity_ratio":273.38461538461536,"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":1346,"base":2},"right_expr":{"type":"numeric_atoms","value":1544,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4417,"base":2},"right_expr":{"type":"numeric_atoms","value":3739,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7867,"base":2},"right_expr":{"type":"numeric_atoms","value":1709,"base":2}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1574,"base":2},"right_expr":{"type":"numeric_atoms","value":5156,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2208,"base":2},"right_expr":{"type":"numeric_atoms","value":5205,"base":2}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1617,"base":2},"right_expr":{"type":"numeric_atoms","value":3512,"base":2}}}}},"used_operators":["T2fj7uvVaJ","yyfyN0ffXY","eLAdDNolq6","rysDP5nf3Z","uFcxV4UQCh","AHs5Up7iyr","tifHPKVTfV","NTOWxs364D","rGHVDoGpnC","sdazOOVcIp","u6S6b8DprG"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1346","layer":4},{"info":"number node, value=1544","layer":4},{"info":"compute binary expreesion, left_input=1346, right_input=1544, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-198","layer":3},{"info":"compute unary expreesion, input=-198, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=682","layer":2},{"info":"number node, value=4417","layer":4},{"info":"number node, value=3739","layer":4},{"info":"compute binary expreesion, left_input=4417, right_input=3739, 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=7867","layer":4},{"info":"number node, value=1709","layer":4},{"info":"compute binary expreesion, left_input=7867, right_input=1709, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6158","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6158, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=682, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=1574","layer":4},{"info":"number node, value=5156","layer":4},{"info":"compute binary expreesion, left_input=1574, right_input=5156, 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=2208","layer":4},{"info":"number node, value=5205","layer":4},{"info":"compute binary expreesion, left_input=2208, right_input=5205, 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=-5892","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5892, 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=1617","layer":4},{"info":"number node, value=3512","layer":4},{"info":"compute binary expreesion, left_input=1617, right_input=3512, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10536","layer":3},{"info":"compute unary expreesion, input=-10536, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=21072","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=21072, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', 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":2,"result_base":2,"text":"((≤/(≮⫘↔10101000010-≮⫘↔11000001000))↙≮⫘↔1000101000001≹⇙⪍≮⫘↔111010011011⪛(≮⫘↔1111010111011⇼⇔∾≮⫘↔11010101101))⋓(≮⫘↔11000100110≹⇙⪍≮⫘↔1010000100100⨟⋌⩍(≮⫘↔100010100000⪨≂≮⫘↔1010001010101)⩚⊴⇥(↽≂(≮⫘↔11001010001↙≮⫘↔110110111000)))=NaN","reverse_text":"NaN=((≤/(≮⫘↔10101000010-≮⫘↔11000001000))↙≮⫘↔1000101000001≹⇙⪍≮⫘↔111010011011⪛(≮⫘↔1111010111011⇼⇔∾≮⫘↔11010101101))⋓(≮⫘↔11000100110≹⇙⪍≮⫘↔1010000100100⨟⋌⩍(≮⫘↔100010100000⪨≂≮⫘↔1010001010101)⩚⊴⇥(↽≂(≮⫘↔11001010001↙≮⫘↔110110111000)))","cot":[{"info":"≮⫘↔10101000010-≮⫘↔11000001000=≮⫘↔-11000110","layer":3},{"info":"≤/≮⫘↔-11000110=≮⫘↔1010101010","layer":2},{"info":"≮⫘↔1000101000001≹⇙⪍≮⫘↔111010011011=NaN","layer":3},{"info":"≮⫘↔1111010111011⇼⇔∾≮⫘↔11010101101=≮⫘↔-1100000001110","layer":3},{"info":"NaN⪛≮⫘↔-1100000001110=NaN","layer":2},{"info":"≮⫘↔1010101010↙NaN=NaN","layer":1},{"info":"≮⫘↔11000100110≹⇙⪍≮⫘↔1010000100100=NaN","layer":3},{"info":"≮⫘↔100010100000⪨≂≮⫘↔1010001010101=≮⫘↔-1011100000100","layer":3},{"info":"NaN⨟⋌⩍≮⫘↔-1011100000100=NaN","layer":2},{"info":"≮⫘↔11001010001↙≮⫘↔110110111000=≮⫘↔-10100100101000","layer":3},{"info":"↽≂≮⫘↔-10100100101000=≮⫘↔101001001010000","layer":2},{"info":"NaN⩚⊴⇥≮⫘↔101001001010000=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":33,"expression_no_base_symbol":"((⨵≀≌$2247$⫥∨⫟$5225$)↺(+⊝⨔($1392$⪛$3221$)))↬((⊄⩳↩($1085$⩷∴$1839$))⋝⋈⪟(($1092$⋥≓≎$4728$)⫥∨⫟$1160$⪢$4935$))","expression":"((⨵≀≌≮⫘↔100011000111⫥∨⫟≮⫘↔1010001101001)↺(+⊝⨔(≮⫘↔10101110000⪛≮⫘↔110010010101)))↬((⊄⩳↩(≮⫘↔10000111101⩷∴≮⫘↔11100101111))⋝⋈⪟((≮⫘↔10001000100⋥≓≎≮⫘↔1001001111000)⫥∨⫟≮⫘↔10010001000⪢≮⫘↔1001101000111))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5309,"operation_count":12,"complexity_ratio":442.4166666666667,"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":2247,"base":2},"right_expr":{"type":"numeric_atoms","value":5225,"base":2}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1392,"base":2},"right_expr":{"type":"numeric_atoms","value":3221,"base":2}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1085,"base":2},"right_expr":{"type":"numeric_atoms","value":1839,"base":2}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1092,"base":2},"right_expr":{"type":"numeric_atoms","value":4728,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1160,"base":2},"right_expr":{"type":"numeric_atoms","value":4935,"base":2}}}}},"used_operators":["B5M0gjZbta","7j4O788W3g","srAu1WTS94","KYD54nUTWz","DhbWaqg5eL","uFcxV4UQCh","2DDjHMKMc0","8w2t5hMYqp","9FxExcQeMw","Qy55tPpLXF","dWAJyo7jo9"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2247","layer":4},{"info":"number node, value=5225","layer":4},{"info":"compute binary expreesion, left_input=2247, right_input=5225, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"number node, value=1392","layer":4},{"info":"number node, value=3221","layer":4},{"info":"compute binary expreesion, left_input=1392, right_input=3221, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1392","layer":3},{"info":"compute unary expreesion, input=1392, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1522","layer":1},{"info":"number node, value=1085","layer":4},{"info":"number node, value=1839","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=1839, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1540","layer":3},{"info":"compute unary expreesion, input=-1540, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=4620","layer":2},{"info":"number node, value=1092","layer":4},{"info":"number node, value=4728","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=4728, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8397","layer":3},{"info":"number node, value=1160","layer":4},{"info":"number node, value=4935","layer":4},{"info":"compute binary expreesion, left_input=1160, right_input=4935, 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=8397, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4620, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨵≀≌≮⫘↔100011000111⫥∨⫟≮⫘↔1010001101001)↺(+⊝⨔(≮⫘↔10101110000⪛≮⫘↔110010010101)))↬((⊄⩳↩(≮⫘↔10000111101⩷∴≮⫘↔11100101111))⋝⋈⪟((≮⫘↔10001000100⋥≓≎≮⫘↔1001001111000)⫥∨⫟≮⫘↔10010001000⪢≮⫘↔1001101000111))=NaN","reverse_text":"NaN=((⨵≀≌≮⫘↔100011000111⫥∨⫟≮⫘↔1010001101001)↺(+⊝⨔(≮⫘↔10101110000⪛≮⫘↔110010010101)))↬((⊄⩳↩(≮⫘↔10000111101⩷∴≮⫘↔11100101111))⋝⋈⪟((≮⫘↔10001000100⋥≓≎≮⫘↔1001001111000)⫥∨⫟≮⫘↔10010001000⪢≮⫘↔1001101000111))","cot":[{"info":"≮⫘↔100011000111⫥∨⫟≮⫘↔1010001101001=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"≮⫘↔10101110000⪛≮⫘↔110010010101=≮⫘↔10101110000","layer":3},{"info":"+⊝⨔≮⫘↔10101110000=≮⫘↔10111110010","layer":2},{"info":"NaN↺≮⫘↔10111110010=≮⫘↔10111110010","layer":1},{"info":"≮⫘↔10000111101⩷∴≮⫘↔11100101111=≮⫘↔-11000000100","layer":3},{"info":"⊄⩳↩≮⫘↔-11000000100=≮⫘↔1001000001100","layer":2},{"info":"≮⫘↔10001000100⋥≓≎≮⫘↔1001001111000=≮⫘↔10000011001101","layer":3},{"info":"≮⫘↔10010001000⪢≮⫘↔1001101000111=NaN","layer":3},{"info":"≮⫘↔10000011001101⫥∨⫟NaN=NaN","layer":2},{"info":"≮⫘↔1001000001100⋝⋈⪟NaN=NaN","layer":1},{"info":"≮⫘↔10111110010↬NaN=NaN","layer":0}]}
{"id":34,"expression_no_base_symbol":"(∂($1384$↺$4555$))⋝⋈⪟($1005$⊉≛↸$2188$*$2068$∼$3707$)+⇶⊼(($1035$⫥∨⫟$9415$)⪛($7263$≫≃)%(($5312$⫸⊐$2805$)≦≮≮))","expression":"(∂(≮⫘↔10101101000↺≮⫘↔1000111001011))⋝⋈⪟(≮⫘↔1111101101⊉≛↸≮⫘↔100010001100*≮⫘↔100000010100∼≮⫘↔111001111011)+⇶⊼((≮⫘↔10000001011⫥∨⫟≮⫘↔10010011000111)⪛(≮⫘↔1110001011111≫≃)%((≮⫘↔1010011000000⫸⊐≮⫘↔101011110101)≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":245,"operation_count":13,"complexity_ratio":18.846153846153847,"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":1384,"base":2},"right_expr":{"type":"numeric_atoms","value":4555,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1005,"base":2},"right_expr":{"type":"numeric_atoms","value":2188,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2068,"base":2},"right_expr":{"type":"numeric_atoms","value":3707,"base":2}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1035,"base":2},"right_expr":{"type":"numeric_atoms","value":9415,"base":2}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":7263,"base":2}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5312,"base":2},"right_expr":{"type":"numeric_atoms","value":2805,"base":2}}}}},"used_operators":["TpPTUOHfaN","2DDjHMKMc0","Uaa54Peajs","7j4O788W3g","9HNa5Wba9A","DZ8iAZOCBD","DyGG3AbaNP","k8jYdgA6NY","uFcxV4UQCh","KYD54nUTWz","X99M06cbEe","D4vGDi5EA2","mqXw5SEYmG"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1384","layer":4},{"info":"number node, value=4555","layer":4},{"info":"compute binary expreesion, left_input=1384, right_input=4555, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4555","layer":3},{"info":"compute unary expreesion, input=4555, 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=1005","layer":4},{"info":"number node, value=2188","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=2188, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2010","layer":3},{"info":"number node, value=2068","layer":4},{"info":"number node, value=3707","layer":4},{"info":"compute binary expreesion, left_input=2068, right_input=3707, 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=2010, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1035","layer":4},{"info":"number node, value=9415","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=9415, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=7263","layer":4},{"info":"compute unary expreesion, input=7263, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=15927","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15927, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=5312","layer":4},{"info":"number node, value=2805","layer":4},{"info":"compute binary expreesion, left_input=5312, right_input=2805, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11095","layer":3},{"info":"compute unary expreesion, input=11095, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-33285","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-33285, op_id = k8jYdgA6NY binary_op_definition= 'None', 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":2,"result_base":2,"text":"(∂(≮⫘↔10101101000↺≮⫘↔1000111001011))⋝⋈⪟(≮⫘↔1111101101⊉≛↸≮⫘↔100010001100*≮⫘↔100000010100∼≮⫘↔111001111011)+⇶⊼((≮⫘↔10000001011⫥∨⫟≮⫘↔10010011000111)⪛(≮⫘↔1110001011111≫≃)%((≮⫘↔1010011000000⫸⊐≮⫘↔101011110101)≦≮≮))=NaN","reverse_text":"NaN=(∂(≮⫘↔10101101000↺≮⫘↔1000111001011))⋝⋈⪟(≮⫘↔1111101101⊉≛↸≮⫘↔100010001100*≮⫘↔100000010100∼≮⫘↔111001111011)+⇶⊼((≮⫘↔10000001011⫥∨⫟≮⫘↔10010011000111)⪛(≮⫘↔1110001011111≫≃)%((≮⫘↔1010011000000⫸⊐≮⫘↔101011110101)≦≮≮))","cot":[{"info":"≮⫘↔10101101000↺≮⫘↔1000111001011=≮⫘↔1000111001011","layer":3},{"info":"∂≮⫘↔1000111001011=NaN","layer":2},{"info":"≮⫘↔1111101101⊉≛↸≮⫘↔100010001100=≮⫘↔11111011010","layer":3},{"info":"≮⫘↔100000010100∼≮⫘↔111001111011=NaN","layer":3},{"info":"≮⫘↔11111011010*NaN=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"≮⫘↔10000001011⫥∨⫟≮⫘↔10010011000111=NaN","layer":3},{"info":"≮⫘↔1110001011111≫≃=≮⫘↔11111000110111","layer":3},{"info":"NaN⪛≮⫘↔11111000110111=NaN","layer":2},{"info":"≮⫘↔1010011000000⫸⊐≮⫘↔101011110101=≮⫘↔10101101010111","layer":3},{"info":"≮⫘↔10101101010111≦≮≮=≮⫘↔-1000001000000101","layer":2},{"info":"NaN%≮⫘↔-1000001000000101=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":35,"expression_no_base_symbol":"((⊥($1329$⨵⪆$1483$))-($2478$⨟⋌⩍$3605$⪨≂$4488$↺$3512$))%($2547$⪨≂$4652$)≭($3677$⊪)⨳⩥⨓((≉$1076$)/$1387$⨎$2433$)","expression":"((⊥(≮⫘↔10100110001⨵⪆≮⫘↔10111001011))-(≮⫘↔100110101110⨟⋌⩍≮⫘↔111000010101⪨≂≮⫘↔1000110001000↺≮⫘↔110110111000))%(≮⫘↔100111110011⪨≂≮⫘↔1001000101100)≭(≮⫘↔111001011101⊪)⨳⩥⨓((≉≮⫘↔10000110100)/≮⫘↔10101101011⨎≮⫘↔100110000001)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":26617,"operation_count":14,"complexity_ratio":1901.2142857142858,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1329,"base":2},"right_expr":{"type":"numeric_atoms","value":1483,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2478,"base":2},"right_expr":{"type":"numeric_atoms","value":3605,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4488,"base":2},"right_expr":{"type":"numeric_atoms","value":3512,"base":2}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2547,"base":2},"right_expr":{"type":"numeric_atoms","value":4652,"base":2}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3677,"base":2}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1076,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1387,"base":2},"right_expr":{"type":"numeric_atoms","value":2433,"base":2}}}}},"used_operators":["k8jYdgA6NY","rysDP5nf3Z","Q3PJZHRvZv","2DQ55sFlQl","sdazOOVcIp","rGHVDoGpnC","7j4O788W3g","nCS4ZIUYfx","rxpJgHHUmx","zVYPLywUTj","XhwjNDsVaA","e1ybzncUwg","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1329","layer":4},{"info":"number node, value=1483","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=1483, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-163","layer":2},{"info":"number node, value=2478","layer":4},{"info":"number node, value=3605","layer":4},{"info":"compute binary expreesion, left_input=2478, right_input=3605, 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=4488","layer":4},{"info":"number node, value=3512","layer":4},{"info":"compute binary expreesion, left_input=4488, right_input=3512, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3512","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3512, 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":"compute binary expreesion, left_input=-163, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2547","layer":4},{"info":"number node, value=4652","layer":4},{"info":"compute binary expreesion, left_input=2547, right_input=4652, 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=-4108","layer":3},{"info":"number node, value=3677","layer":4},{"info":"compute unary expreesion, input=3677, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4108, 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":"number node, value=1076","layer":4},{"info":"compute unary expreesion, input=1076, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1607","layer":3},{"info":"number node, value=1387","layer":4},{"info":"number node, value=2433","layer":4},{"info":"compute binary expreesion, left_input=1387, right_input=2433, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2433","layer":3},{"info":"compute binary expreesion, left_input=1607, right_input=2433, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=22","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=22, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⊥(≮⫘↔10100110001⨵⪆≮⫘↔10111001011))-(≮⫘↔100110101110⨟⋌⩍≮⫘↔111000010101⪨≂≮⫘↔1000110001000↺≮⫘↔110110111000))%(≮⫘↔100111110011⪨≂≮⫘↔1001000101100)≭(≮⫘↔111001011101⊪)⨳⩥⨓((≉≮⫘↔10000110100)/≮⫘↔10101101011⨎≮⫘↔100110000001)=NaN","reverse_text":"NaN=((⊥(≮⫘↔10100110001⨵⪆≮⫘↔10111001011))-(≮⫘↔100110101110⨟⋌⩍≮⫘↔111000010101⪨≂≮⫘↔1000110001000↺≮⫘↔110110111000))%(≮⫘↔100111110011⪨≂≮⫘↔1001000101100)≭(≮⫘↔111001011101⊪)⨳⩥⨓((≉≮⫘↔10000110100)/≮⫘↔10101101011⨎≮⫘↔100110000001)","cot":[{"info":"≮⫘↔10100110001⨵⪆≮⫘↔10111001011=≮⫘↔10100000","layer":3},{"info":"⊥≮⫘↔10100000=≮⫘↔-10100011","layer":2},{"info":"≮⫘↔100110101110⨟⋌⩍≮⫘↔111000010101=NaN","layer":3},{"info":"≮⫘↔1000110001000↺≮⫘↔110110111000=≮⫘↔110110111000","layer":3},{"info":"NaN⪨≂≮⫘↔110110111000=NaN","layer":2},{"info":"≮⫘↔-10100011-NaN=NaN","layer":1},{"info":"≮⫘↔100111110011⪨≂≮⫘↔1001000101100=≮⫘↔-1000000001100","layer":3},{"info":"≮⫘↔111001011101⊪=≮⫘↔0","layer":3},{"info":"≮⫘↔-1000000001100≭≮⫘↔0=≮⫘↔-10110","layer":2},{"info":"≉≮⫘↔10000110100=≮⫘↔11001000111","layer":3},{"info":"≮⫘↔10101101011⨎≮⫘↔100110000001=≮⫘↔100110000001","layer":3},{"info":"≮⫘↔11001000111/≮⫘↔100110000001=≮⫘↔0","layer":2},{"info":"≮⫘↔-10110⨳⩥⨓≮⫘↔0=≮⫘↔10110","layer":1},{"info":"NaN%≮⫘↔10110=NaN","layer":0}]}
{"id":36,"expression_no_base_symbol":"(($1253$⊉≛↸$5286$≋⫹)%(⩦⩻⨪$1727$)⨐⩸⫘$1055$⊴$6550$)+⇶⊼(($1475$⫩⊇)∑⇟⊟($7465$⊭↱$6797$)⨳⩥⨓($2954$≭$2770$)⇷($2350$∲⫓$1289$))","expression":"((≮⫘↔10011100101⊉≛↸≮⫘↔1010010100110≋⫹)%(⩦⩻⨪≮⫘↔11010111111)⨐⩸⫘≮⫘↔10000011111⊴≮⫘↔1100110010110)+⇶⊼((≮⫘↔10111000011⫩⊇)∑⇟⊟(≮⫘↔1110100101001⊭↱≮⫘↔1101010001101)⨳⩥⨓(≮⫘↔101110001010≭≮⫘↔101011010010)⇷(≮⫘↔100100101110∲⫓≮⫘↔10100001001))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6589,"operation_count":14,"complexity_ratio":470.64285714285717,"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":1253,"base":2},"right_expr":{"type":"numeric_atoms","value":5286,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1727,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1055,"base":2},"right_expr":{"type":"numeric_atoms","value":6550,"base":2}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1475,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":7465,"base":2},"right_expr":{"type":"numeric_atoms","value":6797,"base":2}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2954,"base":2},"right_expr":{"type":"numeric_atoms","value":2770,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2350,"base":2},"right_expr":{"type":"numeric_atoms","value":1289,"base":2}}}}},"used_operators":["TpPTUOHfaN","k8jYdgA6NY","N41Kp7NANJ","DZ8iAZOCBD","fu6greOZ01","2td37pGCOC","Nsiff2A1zJ","nCS4ZIUYfx","U7g4x0WXJJ","BjRHVeLaeN","COABgblf1C","mp7IySMOzn","rxpJgHHUmx","i8ToyICDmI"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1253","layer":4},{"info":"number node, value=5286","layer":4},{"info":"compute binary expreesion, left_input=1253, right_input=5286, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2506","layer":3},{"info":"compute unary expreesion, input=2506, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-5012","layer":2},{"info":"number node, value=1727","layer":4},{"info":"compute unary expreesion, input=1727, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1727","layer":3},{"info":"number node, value=1055","layer":4},{"info":"number node, value=6550","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=6550, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1727, 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=-5012, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1475","layer":4},{"info":"compute unary expreesion, input=1475, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1433","layer":3},{"info":"number node, value=7465","layer":4},{"info":"number node, value=6797","layer":4},{"info":"compute binary expreesion, left_input=7465, right_input=6797, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1331","layer":3},{"info":"compute binary expreesion, left_input=-1433, right_input=-1331, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2954","layer":4},{"info":"number node, value=2770","layer":4},{"info":"compute binary expreesion, left_input=2954, right_input=2770, 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=2350","layer":4},{"info":"number node, value=1289","layer":4},{"info":"compute binary expreesion, left_input=2350, right_input=1289, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10011100101⊉≛↸≮⫘↔1010010100110≋⫹)%(⩦⩻⨪≮⫘↔11010111111)⨐⩸⫘≮⫘↔10000011111⊴≮⫘↔1100110010110)+⇶⊼((≮⫘↔10111000011⫩⊇)∑⇟⊟(≮⫘↔1110100101001⊭↱≮⫘↔1101010001101)⨳⩥⨓(≮⫘↔101110001010≭≮⫘↔101011010010)⇷(≮⫘↔100100101110∲⫓≮⫘↔10100001001))=NaN","reverse_text":"NaN=((≮⫘↔10011100101⊉≛↸≮⫘↔1010010100110≋⫹)%(⩦⩻⨪≮⫘↔11010111111)⨐⩸⫘≮⫘↔10000011111⊴≮⫘↔1100110010110)+⇶⊼((≮⫘↔10111000011⫩⊇)∑⇟⊟(≮⫘↔1110100101001⊭↱≮⫘↔1101010001101)⨳⩥⨓(≮⫘↔101110001010≭≮⫘↔101011010010)⇷(≮⫘↔100100101110∲⫓≮⫘↔10100001001))","cot":[{"info":"≮⫘↔10011100101⊉≛↸≮⫘↔1010010100110=≮⫘↔100111001010","layer":3},{"info":"≮⫘↔100111001010≋⫹=≮⫘↔-1001110010100","layer":2},{"info":"⩦⩻⨪≮⫘↔11010111111=≮⫘↔11010111111","layer":3},{"info":"≮⫘↔10000011111⊴≮⫘↔1100110010110=NaN","layer":3},{"info":"≮⫘↔11010111111⨐⩸⫘NaN=NaN","layer":2},{"info":"≮⫘↔-1001110010100%NaN=NaN","layer":1},{"info":"≮⫘↔10111000011⫩⊇=≮⫘↔-10110011001","layer":3},{"info":"≮⫘↔1110100101001⊭↱≮⫘↔1101010001101=≮⫘↔-10100110011","layer":3},{"info":"≮⫘↔-10110011001∑⇟⊟≮⫘↔-10100110011=NaN","layer":2},{"info":"≮⫘↔101110001010≭≮⫘↔101011010010=NaN","layer":3},{"info":"≮⫘↔100100101110∲⫓≮⫘↔10100001001=≮⫘↔0","layer":3},{"info":"NaN⇷≮⫘↔0=≮⫘↔0","layer":2},{"info":"NaN⨳⩥⨓≮⫘↔0=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":37,"expression_no_base_symbol":"(≉(⨞⊢$3207$)⩚⊴⇥(⪲⇎$4240$))⪛(($1042$+$1221$)≭(⇁⨣⪵$2520$)⨳⩥⨓(⫛⫱⨽(⊙↵-$2631$)))","expression":"(≉(⨞⊢≮⫘↔110010000111)⩚⊴⇥(⪲⇎≮⫘↔1000010010000))⪛((≮⫘↔10000010010+≮⫘↔10011000101)≭(⇁⨣⪵≮⫘↔100111011000)⨳⩥⨓(⫛⫱⨽(⊙↵-≮⫘↔101001000111)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3790,"operation_count":11,"complexity_ratio":344.54545454545456,"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":3207,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4240,"base":2}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1042,"base":2},"right_expr":{"type":"numeric_atoms","value":1221,"base":2}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2520,"base":2}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2631,"base":2}}}}},"used_operators":["uFcxV4UQCh","e1ybzncUwg","NTOWxs364D","xUOZtlo3hN","XPYlsWDdGa","nCS4ZIUYfx","rxpJgHHUmx","W4YGzv6Whe","inkyxCbjAn","DlLNRPXxWL","oWn0xqSxBt"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","B5M0gjZbta","rGHVDoGpnC","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3207","layer":4},{"info":"compute unary expreesion, input=3207, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3381","layer":3},{"info":"number node, value=4240","layer":4},{"info":"compute unary expreesion, input=4240, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8480","layer":3},{"info":"compute binary expreesion, left_input=-3381, right_input=8480, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5220","layer":2},{"info":"compute unary expreesion, input=-5220, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-5220","layer":1},{"info":"number node, value=1042","layer":4},{"info":"number node, value=1221","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=1221, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2263","layer":3},{"info":"number node, value=2520","layer":4},{"info":"compute unary expreesion, input=2520, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2263, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2631","layer":4},{"info":"compute unary expreesion, input=2631, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-5220, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≉(⨞⊢≮⫘↔110010000111)⩚⊴⇥(⪲⇎≮⫘↔1000010010000))⪛((≮⫘↔10000010010+≮⫘↔10011000101)≭(⇁⨣⪵≮⫘↔100111011000)⨳⩥⨓(⫛⫱⨽(⊙↵-≮⫘↔101001000111)))=NaN","reverse_text":"NaN=(≉(⨞⊢≮⫘↔110010000111)⩚⊴⇥(⪲⇎≮⫘↔1000010010000))⪛((≮⫘↔10000010010+≮⫘↔10011000101)≭(⇁⨣⪵≮⫘↔100111011000)⨳⩥⨓(⫛⫱⨽(⊙↵-≮⫘↔101001000111)))","cot":[{"info":"⨞⊢≮⫘↔110010000111=≮⫘↔-110100110101","layer":3},{"info":"⪲⇎≮⫘↔1000010010000=≮⫘↔10000100100000","layer":3},{"info":"≮⫘↔-110100110101⩚⊴⇥≮⫘↔10000100100000=≮⫘↔-1010001100100","layer":2},{"info":"≉≮⫘↔-1010001100100=≮⫘↔-1010001100100","layer":1},{"info":"≮⫘↔10000010010+≮⫘↔10011000101=≮⫘↔100011010111","layer":3},{"info":"⇁⨣⪵≮⫘↔100111011000=NaN","layer":3},{"info":"≮⫘↔100011010111≭NaN=NaN","layer":2},{"info":"⊙↵-≮⫘↔101001000111=≮⫘↔-1","layer":3},{"info":"⫛⫱⨽≮⫘↔-1=≮⫘↔0","layer":2},{"info":"NaN⨳⩥⨓≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔-1010001100100⪛NaN=NaN","layer":0}]}
{"id":38,"expression_no_base_symbol":"((⊄⩳↩$2663$⪘⫢$2261$)⨵⪆($1451$⨵⪆$1033$)∼($7195$⨽$1758$))⪘⫢($3438$∼$7702$≦≮≮)∀⇚≩($1932$⨽$3398$)⪘⫢($2201$∸)","expression":"((⊄⩳↩≮⫘↔101001100111⪘⫢≮⫘↔100011010101)⨵⪆(≮⫘↔10110101011⨵⪆≮⫘↔10000001001)∼(≮⫘↔1110000011011⨽≮⫘↔11011011110))⪘⫢(≮⫘↔110101101110∼≮⫘↔1111000010110≦≮≮)∀⇚≩(≮⫘↔11110001100⨽≮⫘↔110101000110)⪘⫢(≮⫘↔100010011001∸)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":9438,"operation_count":13,"complexity_ratio":726.0,"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":2663,"base":2},"right_expr":{"type":"numeric_atoms","value":2261,"base":2}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1451,"base":2},"right_expr":{"type":"numeric_atoms","value":1033,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7195,"base":2},"right_expr":{"type":"numeric_atoms","value":1758,"base":2}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3438,"base":2},"right_expr":{"type":"numeric_atoms","value":7702,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1932,"base":2},"right_expr":{"type":"numeric_atoms","value":3398,"base":2}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2201,"base":2}}}}},"used_operators":["oacrs7FA3X","2DQ55sFlQl","8w2t5hMYqp","DyGG3AbaNP","8HhzD0ZcuI","LRNGc0VcxI","D4vGDi5EA2","o20kRiQErp"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2663","layer":4},{"info":"number node, value=2261","layer":4},{"info":"compute binary expreesion, left_input=2663, right_input=2261, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5202","layer":3},{"info":"compute unary expreesion, input=5202, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-15606","layer":2},{"info":"number node, value=1451","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=1451, right_input=1033, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=7195","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=7195, right_input=1758, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-155308035","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-155308035, 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=-15606, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=3438","layer":4},{"info":"number node, value=7702","layer":4},{"info":"compute binary expreesion, left_input=3438, right_input=7702, 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":2},{"info":"number node, value=1932","layer":4},{"info":"number node, value=3398","layer":4},{"info":"compute binary expreesion, left_input=1932, right_input=3398, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11206752","layer":3},{"info":"number node, value=2201","layer":4},{"info":"compute unary expreesion, input=2201, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-11206752, right_input=177, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⊄⩳↩≮⫘↔101001100111⪘⫢≮⫘↔100011010101)⨵⪆(≮⫘↔10110101011⨵⪆≮⫘↔10000001001)∼(≮⫘↔1110000011011⨽≮⫘↔11011011110))⪘⫢(≮⫘↔110101101110∼≮⫘↔1111000010110≦≮≮)∀⇚≩(≮⫘↔11110001100⨽≮⫘↔110101000110)⪘⫢(≮⫘↔100010011001∸)=NaN","reverse_text":"NaN=((⊄⩳↩≮⫘↔101001100111⪘⫢≮⫘↔100011010101)⨵⪆(≮⫘↔10110101011⨵⪆≮⫘↔10000001001)∼(≮⫘↔1110000011011⨽≮⫘↔11011011110))⪘⫢(≮⫘↔110101101110∼≮⫘↔1111000010110≦≮≮)∀⇚≩(≮⫘↔11110001100⨽≮⫘↔110101000110)⪘⫢(≮⫘↔100010011001∸)","cot":[{"info":"≮⫘↔101001100111⪘⫢≮⫘↔100011010101=≮⫘↔1010001010010","layer":3},{"info":"⊄⩳↩≮⫘↔1010001010010=≮⫘↔-11110011110110","layer":2},{"info":"≮⫘↔10110101011⨵⪆≮⫘↔10000001001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1110000011011⨽≮⫘↔11011011110=≮⫘↔-1001010000011101000000000011","layer":3},{"info":"≮⫘↔10100000∼≮⫘↔-1001010000011101000000000011=NaN","layer":2},{"info":"≮⫘↔-11110011110110⨵⪆NaN=≮⫘↔10100000","layer":1},{"info":"≮⫘↔110101101110∼≮⫘↔1111000010110=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"≮⫘↔11110001100⨽≮⫘↔110101000110=≮⫘↔-101010110000000001100000","layer":3},{"info":"≮⫘↔100010011001∸=≮⫘↔10110001","layer":3},{"info":"≮⫘↔-101010110000000001100000⪘⫢≮⫘↔10110001=≮⫘↔-1","layer":2},{"info":"NaN∀⇚≩≮⫘↔-1=NaN","layer":1},{"info":"≮⫘↔10100000⪘⫢NaN=NaN","layer":0}]}
{"id":39,"expression_no_base_symbol":"↥(($1196$⋥≓≎$4767$)⫌⩹⨱)≧⫂∧((+⊝⨔$4762$)⩨(⊄⩳↩$1632$))","expression":"↥((≮⫘↔10010101100⋥≓≎≮⫘↔1001010011111)⫌⩹⨱)≧⫂∧((+⊝⨔≮⫘↔1001010011010)⩨(⊄⩳↩≮⫘↔11001100000))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":70,"operation_count":7,"complexity_ratio":10.0,"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":1196,"base":2},"right_expr":{"type":"numeric_atoms","value":4767,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4762,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1632,"base":2}}}}},"used_operators":["A8NUZmVepG","Ph9nP6C5qx","EBcxylXtPf","Qy55tPpLXF","2DlMacCsIx","DhbWaqg5eL","8w2t5hMYqp"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1196","layer":4},{"info":"number node, value=4767","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=4767, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8371","layer":3},{"info":"compute unary expreesion, input=8371, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=18143","layer":2},{"info":"number node, value=4762","layer":4},{"info":"compute unary expreesion, input=4762, 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=1632","layer":4},{"info":"compute unary expreesion, input=1632, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4896","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-4896, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=12","layer":2},{"info":"compute binary expreesion, left_input=18143, right_input=12, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-461","layer":1},{"info":"compute unary expreesion, input=-461, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=49","layer":0}],"base":2,"result_base":2,"text":"↥((≮⫘↔10010101100⋥≓≎≮⫘↔1001010011111)⫌⩹⨱)≧⫂∧((+⊝⨔≮⫘↔1001010011010)⩨(⊄⩳↩≮⫘↔11001100000))=≮⫘↔110001","reverse_text":"≮⫘↔110001=↥((≮⫘↔10010101100⋥≓≎≮⫘↔1001010011111)⫌⩹⨱)≧⫂∧((+⊝⨔≮⫘↔1001010011010)⩨(⊄⩳↩≮⫘↔11001100000))","cot":[{"info":"≮⫘↔10010101100⋥≓≎≮⫘↔1001010011111=≮⫘↔10000010110011","layer":3},{"info":"≮⫘↔10000010110011⫌⩹⨱=≮⫘↔100011011011111","layer":2},{"info":"+⊝⨔≮⫘↔1001010011010=≮⫘↔10111110010","layer":3},{"info":"⊄⩳↩≮⫘↔11001100000=≮⫘↔-1001100100000","layer":3},{"info":"≮⫘↔10111110010⩨≮⫘↔-1001100100000=≮⫘↔1100","layer":2},{"info":"≮⫘↔100011011011111≧⫂∧≮⫘↔1100=≮⫘↔-111001101","layer":1},{"info":"↥≮⫘↔-111001101=≮⫘↔110001","layer":0}]}
{"id":40,"expression_no_base_symbol":"(⊥(($2181$⩨$1227$)⪛($1229$↺$4618$)))⪒($2447$↺$3623$)⪮%⊝($1042$*$8604$)⊭↱(+⊝⨔(⩦⩻⨪$3114$))","expression":"(⊥((≮⫘↔100010000101⩨≮⫘↔10011001011)⪛(≮⫘↔10011001101↺≮⫘↔1001000001010)))⪒(≮⫘↔100110001111↺≮⫘↔111000100111)⪮%⊝(≮⫘↔10000010010*≮⫘↔10000110011100)⊭↱(+⊝⨔(⩦⩻⨪≮⫘↔110000101010))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1116,"operation_count":11,"complexity_ratio":101.45454545454545,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2181,"base":2},"right_expr":{"type":"numeric_atoms","value":1227,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1229,"base":2},"right_expr":{"type":"numeric_atoms","value":4618,"base":2}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2447,"base":2},"right_expr":{"type":"numeric_atoms","value":3623,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1042,"base":2},"right_expr":{"type":"numeric_atoms","value":8604,"base":2}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3114,"base":2}}}}},"used_operators":["f6k1SAg4EE","Q3PJZHRvZv","uFcxV4UQCh","2DlMacCsIx","7j4O788W3g","COABgblf1C","IWmyXbctLI","9HNa5Wba9A","DhbWaqg5eL","2td37pGCOC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔10111100101011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2181","layer":4},{"info":"number node, value=1227","layer":4},{"info":"compute binary expreesion, left_input=2181, right_input=1227, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1229","layer":4},{"info":"number node, value=4618","layer":4},{"info":"compute binary expreesion, left_input=1229, right_input=4618, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4618","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4618, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":1},{"info":"number node, value=2447","layer":4},{"info":"number node, value=3623","layer":4},{"info":"compute binary expreesion, left_input=2447, right_input=3623, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3623","layer":3},{"info":"number node, value=1042","layer":4},{"info":"number node, value=8604","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=8604, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8965368","layer":3},{"info":"compute binary expreesion, left_input=3623, right_input=8965368, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7562","layer":2},{"info":"number node, value=3114","layer":4},{"info":"compute unary expreesion, input=3114, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3114","layer":3},{"info":"compute unary expreesion, input=3114, 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=7562, right_input=1522, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-12075","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-12075, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=12075","layer":0}],"base":2,"result_base":2,"text":"(⊥((≮⫘↔100010000101⩨≮⫘↔10011001011)⪛(≮⫘↔10011001101↺≮⫘↔1001000001010)))⪒(≮⫘↔100110001111↺≮⫘↔111000100111)⪮%⊝(≮⫘↔10000010010*≮⫘↔10000110011100)⊭↱(+⊝⨔(⩦⩻⨪≮⫘↔110000101010))=≮⫘↔10111100101011","reverse_text":"≮⫘↔10111100101011=(⊥((≮⫘↔100010000101⩨≮⫘↔10011001011)⪛(≮⫘↔10011001101↺≮⫘↔1001000001010)))⪒(≮⫘↔100110001111↺≮⫘↔111000100111)⪮%⊝(≮⫘↔10000010010*≮⫘↔10000110011100)⊭↱(+⊝⨔(⩦⩻⨪≮⫘↔110000101010))","cot":[{"info":"≮⫘↔100010000101⩨≮⫘↔10011001011=≮⫘↔0","layer":3},{"info":"≮⫘↔10011001101↺≮⫘↔1001000001010=≮⫘↔1001000001010","layer":3},{"info":"≮⫘↔0⪛≮⫘↔1001000001010=≮⫘↔0","layer":2},{"info":"⊥≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔100110001111↺≮⫘↔111000100111=≮⫘↔111000100111","layer":3},{"info":"≮⫘↔10000010010*≮⫘↔10000110011100=≮⫘↔100010001100110011111000","layer":3},{"info":"≮⫘↔111000100111⪮%⊝≮⫘↔100010001100110011111000=≮⫘↔1110110001010","layer":2},{"info":"⩦⩻⨪≮⫘↔110000101010=≮⫘↔110000101010","layer":3},{"info":"+⊝⨔≮⫘↔110000101010=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔1110110001010⊭↱≮⫘↔10111110010=≮⫘↔-10111100101011","layer":1},{"info":"≮⫘↔0⪒≮⫘↔-10111100101011=≮⫘↔10111100101011","layer":0}]}
{"id":41,"expression_no_base_symbol":"((($3007$∲⫓$1503$)⨳⩥⨓($1814$⪨≂$2856$))∸)⇷((≦∁$2221$)⪨≂$6845$↬$9072$+$2801$⨳⩥⨓$4173$∲⫓$1981$⋓$1764$)","expression":"(((≮⫘↔101110111111∲⫓≮⫘↔10111011111)⨳⩥⨓(≮⫘↔11100010110⪨≂≮⫘↔101100101000))∸)⇷((≦∁≮⫘↔100010101101)⪨≂≮⫘↔1101010111101↬≮⫘↔10001101110000+≮⫘↔101011110001⨳⩥⨓≮⫘↔1000001001101∲⫓≮⫘↔11110111101⋓≮⫘↔11011100100)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2696,"operation_count":12,"complexity_ratio":224.66666666666666,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3007,"base":2},"right_expr":{"type":"numeric_atoms","value":1503,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1814,"base":2},"right_expr":{"type":"numeric_atoms","value":2856,"base":2}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2221,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6845,"base":2},"right_expr":{"type":"numeric_atoms","value":9072,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2801,"base":2},"right_expr":{"type":"numeric_atoms","value":4173,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1981,"base":2},"right_expr":{"type":"numeric_atoms","value":1764,"base":2}}}}},"used_operators":["mp7IySMOzn","o20kRiQErp","nCS4ZIUYfx","i8ToyICDmI","sdazOOVcIp","W4YGzv6Whe","9ICcGScMcE","B5M0gjZbta","T2fj7uvVaJ"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=3007","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=3007, right_input=1503, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1814","layer":4},{"info":"number node, value=2856","layer":4},{"info":"compute binary expreesion, left_input=1814, right_input=2856, 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=-1982","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1982, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1982","layer":2},{"info":"compute unary expreesion, input=-1982, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=2221","layer":4},{"info":"compute unary expreesion, input=2221, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2221","layer":3},{"info":"number node, value=6845","layer":4},{"info":"number node, value=9072","layer":4},{"info":"compute binary expreesion, left_input=6845, right_input=9072, 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=2221, 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":2},{"info":"number node, value=2801","layer":4},{"info":"number node, value=4173","layer":4},{"info":"compute binary expreesion, left_input=2801, right_input=4173, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1372","layer":3},{"info":"number node, value=1981","layer":4},{"info":"number node, value=1764","layer":4},{"info":"compute binary expreesion, left_input=1981, right_input=1764, 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=1372, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=1372","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1372, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔101110111111∲⫓≮⫘↔10111011111)⨳⩥⨓(≮⫘↔11100010110⪨≂≮⫘↔101100101000))∸)⇷((≦∁≮⫘↔100010101101)⪨≂≮⫘↔1101010111101↬≮⫘↔10001101110000+≮⫘↔101011110001⨳⩥⨓≮⫘↔1000001001101∲⫓≮⫘↔11110111101⋓≮⫘↔11011100100)=NaN","reverse_text":"NaN=(((≮⫘↔101110111111∲⫓≮⫘↔10111011111)⨳⩥⨓(≮⫘↔11100010110⪨≂≮⫘↔101100101000))∸)⇷((≦∁≮⫘↔100010101101)⪨≂≮⫘↔1101010111101↬≮⫘↔10001101110000+≮⫘↔101011110001⨳⩥⨓≮⫘↔1000001001101∲⫓≮⫘↔11110111101⋓≮⫘↔11011100100)","cot":[{"info":"≮⫘↔101110111111∲⫓≮⫘↔10111011111=≮⫘↔0","layer":3},{"info":"≮⫘↔11100010110⪨≂≮⫘↔101100101000=≮⫘↔-11110111110","layer":3},{"info":"≮⫘↔0⨳⩥⨓≮⫘↔-11110111110=≮⫘↔-11110111110","layer":2},{"info":"≮⫘↔-11110111110∸=≮⫘↔10110001","layer":1},{"info":"≦∁≮⫘↔100010101101=≮⫘↔100010101101","layer":3},{"info":"≮⫘↔1101010111101↬≮⫘↔10001101110000=NaN","layer":3},{"info":"≮⫘↔100010101101⪨≂NaN=NaN","layer":2},{"info":"≮⫘↔101011110001⨳⩥⨓≮⫘↔1000001001101=≮⫘↔10101011100","layer":3},{"info":"≮⫘↔11110111101⋓≮⫘↔11011100100=≮⫘↔0","layer":3},{"info":"≮⫘↔10101011100∲⫓≮⫘↔0=≮⫘↔10101011100","layer":2},{"info":"NaN+≮⫘↔10101011100=NaN","layer":1},{"info":"≮⫘↔10110001⇷NaN=NaN","layer":0}]}
{"id":42,"expression_no_base_symbol":"$1156$⋓$4305$⩨($1070$↪⪝)/(⨑⩽⪐$3739$)⪄($1287$⋫)⫡⨏((↩($1488$+$5921$))+$1662$⪛$1341$⨓$1220$⪢$1823$)","expression":"≮⫘↔10010000100⋓≮⫘↔1000011010001⩨(≮⫘↔10000101110↪⪝)/(⨑⩽⪐≮⫘↔111010011011)⪄(≮⫘↔10100000111⋫)⫡⨏((↩(≮⫘↔10111010000+≮⫘↔1011100100001))+≮⫘↔11001111110⪛≮⫘↔10100111101⨓≮⫘↔10011000100⪢≮⫘↔11100011111)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3961,"operation_count":14,"complexity_ratio":282.92857142857144,"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":1156,"base":2},"right_expr":{"type":"numeric_atoms","value":4305,"base":2}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1070,"base":2}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3739,"base":2}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1287,"base":2}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1488,"base":2},"right_expr":{"type":"numeric_atoms","value":5921,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1662,"base":2},"right_expr":{"type":"numeric_atoms","value":1341,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1220,"base":2},"right_expr":{"type":"numeric_atoms","value":1823,"base":2}}}}},"used_operators":["QMFrweE19q","XhwjNDsVaA","2DlMacCsIx","T2fj7uvVaJ","l07mrZUIn9","SUmda5xLS4","AF7qkfDlqP","JL8yIekQnl","W4YGzv6Whe","jLgFTUHLKL","3ViojmjbAp","uFcxV4UQCh","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","2DDjHMKMc0","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1156","layer":4},{"info":"number node, value=4305","layer":4},{"info":"compute binary expreesion, left_input=1156, right_input=4305, 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=1070","layer":4},{"info":"compute unary expreesion, input=1070, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=65464740","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=65464740, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=3739","layer":4},{"info":"compute unary expreesion, input=3739, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3466","layer":3},{"info":"number node, value=1287","layer":4},{"info":"compute unary expreesion, input=1287, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1287","layer":3},{"info":"compute binary expreesion, left_input=-3466, right_input=1287, 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1488","layer":4},{"info":"number node, value=5921","layer":4},{"info":"compute binary expreesion, left_input=1488, right_input=5921, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7409","layer":3},{"info":"compute unary expreesion, input=7409, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-56492","layer":2},{"info":"number node, value=1662","layer":4},{"info":"number node, value=1341","layer":4},{"info":"compute binary expreesion, left_input=1662, right_input=1341, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=321","layer":3},{"info":"number node, value=1220","layer":4},{"info":"number node, value=1823","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=1823, 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=321, 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=-56492, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', 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":2,"result_base":2,"text":"≮⫘↔10010000100⋓≮⫘↔1000011010001⩨(≮⫘↔10000101110↪⪝)/(⨑⩽⪐≮⫘↔111010011011)⪄(≮⫘↔10100000111⋫)⫡⨏((↩(≮⫘↔10111010000+≮⫘↔1011100100001))+≮⫘↔11001111110⪛≮⫘↔10100111101⨓≮⫘↔10011000100⪢≮⫘↔11100011111)=NaN","reverse_text":"NaN=≮⫘↔10010000100⋓≮⫘↔1000011010001⩨(≮⫘↔10000101110↪⪝)/(⨑⩽⪐≮⫘↔111010011011)⪄(≮⫘↔10100000111⋫)⫡⨏((↩(≮⫘↔10111010000+≮⫘↔1011100100001))+≮⫘↔11001111110⪛≮⫘↔10100111101⨓≮⫘↔10011000100⪢≮⫘↔11100011111)","cot":[{"info":"≮⫘↔10010000100⋓≮⫘↔1000011010001=≮⫘↔0","layer":3},{"info":"≮⫘↔10000101110↪⪝=≮⫘↔11111001101110100110100100","layer":3},{"info":"≮⫘↔0⩨≮⫘↔11111001101110100110100100=NaN","layer":2},{"info":"⨑⩽⪐≮⫘↔111010011011=≮⫘↔-110110001010","layer":3},{"info":"≮⫘↔10100000111⋫=≮⫘↔10100000111","layer":3},{"info":"≮⫘↔-110110001010⪄≮⫘↔10100000111=≮⫘↔111110001011","layer":2},{"info":"NaN/≮⫘↔111110001011=NaN","layer":1},{"info":"≮⫘↔10111010000+≮⫘↔1011100100001=≮⫘↔1110011110001","layer":3},{"info":"↩≮⫘↔1110011110001=≮⫘↔-1101110010101100","layer":2},{"info":"≮⫘↔11001111110⪛≮⫘↔10100111101=≮⫘↔101000001","layer":3},{"info":"≮⫘↔10011000100⪢≮⫘↔11100011111=NaN","layer":3},{"info":"≮⫘↔101000001⨓NaN=NaN","layer":2},{"info":"≮⫘↔-1101110010101100+NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":43,"expression_no_base_symbol":"(($2374$⊭↱$7722$)⨪↰⇹($1401$≧⫂∧$3134$)≎⊠⪸($2322$⨐⩸⫘$2181$)⋝⋈⪟($1146$⫡⨏$1105$))⊴(((⨵≀≌$1025$)⪄$1809$⫥∨⫟$1843$)⪛(-$1162$∑⇟⊟$1990$))","expression":"((≮⫘↔100101000110⊭↱≮⫘↔1111000101010)⨪↰⇹(≮⫘↔10101111001≧⫂∧≮⫘↔110000111110)≎⊠⪸(≮⫘↔100100010010⨐⩸⫘≮⫘↔100010000101)⋝⋈⪟(≮⫘↔10001111010⫡⨏≮⫘↔10001010001))⊴(((⨵≀≌≮⫘↔10000000001)⪄≮⫘↔11100010001⫥∨⫟≮⫘↔11100110011)⪛(-≮⫘↔10010001010∑⇟⊟≮⫘↔11111000110))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":10992,"operation_count":14,"complexity_ratio":785.1428571428571,"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":2374,"base":2},"right_expr":{"type":"numeric_atoms","value":7722,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1401,"base":2},"right_expr":{"type":"numeric_atoms","value":3134,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2322,"base":2},"right_expr":{"type":"numeric_atoms","value":2181,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1146,"base":2},"right_expr":{"type":"numeric_atoms","value":1105,"base":2}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1025,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1809,"base":2},"right_expr":{"type":"numeric_atoms","value":1843,"base":2}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1162,"base":2},"right_expr":{"type":"numeric_atoms","value":1990,"base":2}}}}},"used_operators":["Nsiff2A1zJ","bJkvcejdHO","tmPS8pqC7x","COABgblf1C","Ph9nP6C5qx","2DDjHMKMc0","fu6greOZ01","QMFrweE19q","uFcxV4UQCh","SUmda5xLS4","srAu1WTS94","KYD54nUTWz","t8gj7n24qd","U7g4x0WXJJ"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2374","layer":4},{"info":"number node, value=7722","layer":4},{"info":"compute binary expreesion, left_input=2374, right_input=7722, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=10701","layer":3},{"info":"number node, value=1401","layer":4},{"info":"number node, value=3134","layer":4},{"info":"compute binary expreesion, left_input=1401, right_input=3134, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2661","layer":3},{"info":"compute binary expreesion, left_input=10701, right_input=2661, 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=10701","layer":2},{"info":"number node, value=2322","layer":4},{"info":"number node, value=2181","layer":4},{"info":"compute binary expreesion, left_input=2322, right_input=2181, 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=1146","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=1105, 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=8723","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8723, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10701, 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=1025","layer":4},{"info":"compute unary expreesion, input=1025, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3075","layer":3},{"info":"number node, value=1809","layer":4},{"info":"number node, value=1843","layer":4},{"info":"compute binary expreesion, left_input=1809, right_input=1843, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3075, 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":"number node, value=1162","layer":4},{"info":"number node, value=1990","layer":4},{"info":"compute binary expreesion, left_input=1162, right_input=1990, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3979, 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=67, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100101000110⊭↱≮⫘↔1111000101010)⨪↰⇹(≮⫘↔10101111001≧⫂∧≮⫘↔110000111110)≎⊠⪸(≮⫘↔100100010010⨐⩸⫘≮⫘↔100010000101)⋝⋈⪟(≮⫘↔10001111010⫡⨏≮⫘↔10001010001))⊴(((⨵≀≌≮⫘↔10000000001)⪄≮⫘↔11100010001⫥∨⫟≮⫘↔11100110011)⪛(-≮⫘↔10010001010∑⇟⊟≮⫘↔11111000110))=NaN","reverse_text":"NaN=((≮⫘↔100101000110⊭↱≮⫘↔1111000101010)⨪↰⇹(≮⫘↔10101111001≧⫂∧≮⫘↔110000111110)≎⊠⪸(≮⫘↔100100010010⨐⩸⫘≮⫘↔100010000101)⋝⋈⪟(≮⫘↔10001111010⫡⨏≮⫘↔10001010001))⊴(((⨵≀≌≮⫘↔10000000001)⪄≮⫘↔11100010001⫥∨⫟≮⫘↔11100110011)⪛(-≮⫘↔10010001010∑⇟⊟≮⫘↔11111000110))","cot":[{"info":"≮⫘↔100101000110⊭↱≮⫘↔1111000101010=≮⫘↔10100111001101","layer":3},{"info":"≮⫘↔10101111001≧⫂∧≮⫘↔110000111110=≮⫘↔101001100101","layer":3},{"info":"≮⫘↔10100111001101⨪↰⇹≮⫘↔101001100101=≮⫘↔10100111001101","layer":2},{"info":"≮⫘↔100100010010⨐⩸⫘≮⫘↔100010000101=NaN","layer":3},{"info":"≮⫘↔10001111010⫡⨏≮⫘↔10001010001=≮⫘↔10001000010011","layer":3},{"info":"NaN⋝⋈⪟≮⫘↔10001000010011=NaN","layer":2},{"info":"≮⫘↔10100111001101≎⊠⪸NaN=≮⫘↔1000011","layer":1},{"info":"⨵≀≌≮⫘↔10000000001=≮⫘↔-110000000011","layer":3},{"info":"≮⫘↔11100010001⫥∨⫟≮⫘↔11100110011=NaN","layer":3},{"info":"≮⫘↔-110000000011⪄NaN=≮⫘↔111110001011","layer":2},{"info":"≮⫘↔10010001010∑⇟⊟≮⫘↔11111000110=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"≮⫘↔111110001011⪛NaN=NaN","layer":1},{"info":"≮⫘↔1000011⊴NaN=NaN","layer":0}]}
{"id":44,"expression_no_base_symbol":"(⩦⩻⨪($2059$≣⋋)↬(↽≂$4838$))∑⇟⊟(($1910$⪘⫢$1974$∲⫓($1131$⩠))∲⫓($3006$⪮%⊝$8917$⫡⨏(≤/$6958$)))","expression":"(⩦⩻⨪(≮⫘↔100000001011≣⋋)↬(↽≂≮⫘↔1001011100110))∑⇟⊟((≮⫘↔11101110110⪘⫢≮⫘↔11110110110∲⫓(≮⫘↔10001101011⩠))∲⫓(≮⫘↔101110111110⪮%⊝≮⫘↔10001011010101⫡⨏(≤/≮⫘↔1101100101110)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":575,"operation_count":12,"complexity_ratio":47.916666666666664,"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":2059,"base":2}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4838,"base":2}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1910,"base":2},"right_expr":{"type":"numeric_atoms","value":1974,"base":2}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1131,"base":2}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3006,"base":2},"right_expr":{"type":"numeric_atoms","value":8917,"base":2}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":6958,"base":2}}}}},"used_operators":["U7g4x0WXJJ","2td37pGCOC","B5M0gjZbta","Tcnh7f0tEr","u6S6b8DprG","i8ToyICDmI","oacrs7FA3X","sJAwomhLZr","QMFrweE19q","IWmyXbctLI","eLAdDNolq6"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z"],"result":"≮⫘↔-10010111001100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2059","layer":4},{"info":"compute unary expreesion, input=2059, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"number node, value=4838","layer":4},{"info":"compute unary expreesion, input=4838, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9676","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-9676, 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=-9676","layer":2},{"info":"compute unary expreesion, input=-9676, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-9676","layer":1},{"info":"number node, value=1910","layer":4},{"info":"number node, value=1974","layer":4},{"info":"compute binary expreesion, left_input=1910, right_input=1974, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3696","layer":3},{"info":"number node, value=1131","layer":4},{"info":"compute unary expreesion, input=1131, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3696, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=3696","layer":2},{"info":"number node, value=3006","layer":4},{"info":"number node, value=8917","layer":4},{"info":"compute binary expreesion, left_input=3006, right_input=8917, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6328","layer":3},{"info":"number node, value=6958","layer":4},{"info":"compute unary expreesion, input=6958, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-6474","layer":3},{"info":"compute binary expreesion, left_input=6328, right_input=-6474, 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=19475","layer":2},{"info":"compute binary expreesion, left_input=3696, right_input=19475, 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=-9676, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=-9676","layer":0}],"base":2,"result_base":2,"text":"(⩦⩻⨪(≮⫘↔100000001011≣⋋)↬(↽≂≮⫘↔1001011100110))∑⇟⊟((≮⫘↔11101110110⪘⫢≮⫘↔11110110110∲⫓(≮⫘↔10001101011⩠))∲⫓(≮⫘↔101110111110⪮%⊝≮⫘↔10001011010101⫡⨏(≤/≮⫘↔1101100101110)))=≮⫘↔-10010111001100","reverse_text":"≮⫘↔-10010111001100=(⩦⩻⨪(≮⫘↔100000001011≣⋋)↬(↽≂≮⫘↔1001011100110))∑⇟⊟((≮⫘↔11101110110⪘⫢≮⫘↔11110110110∲⫓(≮⫘↔10001101011⩠))∲⫓(≮⫘↔101110111110⪮%⊝≮⫘↔10001011010101⫡⨏(≤/≮⫘↔1101100101110)))","cot":[{"info":"≮⫘↔100000001011≣⋋=≮⫘↔0","layer":3},{"info":"↽≂≮⫘↔1001011100110=≮⫘↔-10010111001100","layer":3},{"info":"≮⫘↔0↬≮⫘↔-10010111001100=≮⫘↔-10010111001100","layer":2},{"info":"⩦⩻⨪≮⫘↔-10010111001100=≮⫘↔-10010111001100","layer":1},{"info":"≮⫘↔11101110110⪘⫢≮⫘↔11110110110=≮⫘↔111001110000","layer":3},{"info":"≮⫘↔10001101011⩠=≮⫘↔0","layer":3},{"info":"≮⫘↔111001110000∲⫓≮⫘↔0=≮⫘↔111001110000","layer":2},{"info":"≮⫘↔101110111110⪮%⊝≮⫘↔10001011010101=≮⫘↔1100010111000","layer":3},{"info":"≤/≮⫘↔1101100101110=≮⫘↔-1100101001010","layer":3},{"info":"≮⫘↔1100010111000⫡⨏≮⫘↔-1100101001010=≮⫘↔100110000010011","layer":2},{"info":"≮⫘↔111001110000∲⫓≮⫘↔100110000010011=≮⫘↔0","layer":1},{"info":"≮⫘↔-10010111001100∑⇟⊟≮⫘↔0=≮⫘↔-10010111001100","layer":0}]}
{"id":45,"expression_no_base_symbol":"(⪲⇎($5394$+⇶⊼$1907$∲⫓(⊙↵-$1139$)))⨐⩸⫘(($4042$⪨≂$3827$)⨸⪁$1768$⨰$2623$)⋳⪒($2047$∧)≹⇙⪍($2793$⨓$4586$)","expression":"(⪲⇎(≮⫘↔1010100010010+⇶⊼≮⫘↔11101110011∲⫓(⊙↵-≮⫘↔10001110011)))⨐⩸⫘((≮⫘↔111111001010⪨≂≮⫘↔111011110011)⨸⪁≮⫘↔11011101000⨰≮⫘↔101000111111)⋳⪒(≮⫘↔11111111111∧)≹⇙⪍(≮⫘↔101011101001⨓≮⫘↔1000111101010)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5810,"operation_count":12,"complexity_ratio":484.1666666666667,"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":5394,"base":2},"right_expr":{"type":"numeric_atoms","value":1907,"base":2}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1139,"base":2}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4042,"base":2},"right_expr":{"type":"numeric_atoms","value":3827,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1768,"base":2},"right_expr":{"type":"numeric_atoms","value":2623,"base":2}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2047,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2793,"base":2},"right_expr":{"type":"numeric_atoms","value":4586,"base":2}}}}},"used_operators":["fu6greOZ01","XPYlsWDdGa","i8ToyICDmI","TpPTUOHfaN","oWn0xqSxBt","12rbrZMWeM","g55IO6H4Gj","sdazOOVcIp","eewbuw0ToL","AHs5Up7iyr","z63VuFQld9","3ViojmjbAp"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5394","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=5394, right_input=1907, 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=1139","layer":4},{"info":"compute unary expreesion, input=1139, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"number node, value=4042","layer":4},{"info":"number node, value=3827","layer":4},{"info":"compute binary expreesion, left_input=4042, right_input=3827, 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=532","layer":3},{"info":"number node, value=1768","layer":4},{"info":"number node, value=2623","layer":4},{"info":"compute binary expreesion, left_input=1768, right_input=2623, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-845","layer":3},{"info":"compute binary expreesion, left_input=532, right_input=-845, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-626","layer":2},{"info":"number node, value=2047","layer":4},{"info":"compute unary expreesion, input=2047, 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=2793","layer":4},{"info":"number node, value=4586","layer":4},{"info":"compute binary expreesion, left_input=2793, right_input=4586, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4589","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4589, 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=-626, 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=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⪲⇎(≮⫘↔1010100010010+⇶⊼≮⫘↔11101110011∲⫓(⊙↵-≮⫘↔10001110011)))⨐⩸⫘((≮⫘↔111111001010⪨≂≮⫘↔111011110011)⨸⪁≮⫘↔11011101000⨰≮⫘↔101000111111)⋳⪒(≮⫘↔11111111111∧)≹⇙⪍(≮⫘↔101011101001⨓≮⫘↔1000111101010)=NaN","reverse_text":"NaN=(⪲⇎(≮⫘↔1010100010010+⇶⊼≮⫘↔11101110011∲⫓(⊙↵-≮⫘↔10001110011)))⨐⩸⫘((≮⫘↔111111001010⪨≂≮⫘↔111011110011)⨸⪁≮⫘↔11011101000⨰≮⫘↔101000111111)⋳⪒(≮⫘↔11111111111∧)≹⇙⪍(≮⫘↔101011101001⨓≮⫘↔1000111101010)","cot":[{"info":"≮⫘↔1010100010010+⇶⊼≮⫘↔11101110011=NaN","layer":3},{"info":"⊙↵-≮⫘↔10001110011=≮⫘↔-1","layer":3},{"info":"NaN∲⫓≮⫘↔-1=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"≮⫘↔111111001010⪨≂≮⫘↔111011110011=≮⫘↔1000010100","layer":3},{"info":"≮⫘↔11011101000⨰≮⫘↔101000111111=≮⫘↔-1101001101","layer":3},{"info":"≮⫘↔1000010100⨸⪁≮⫘↔-1101001101=≮⫘↔-1001110010","layer":2},{"info":"≮⫘↔11111111111∧=NaN","layer":3},{"info":"≮⫘↔101011101001⨓≮⫘↔1000111101010=≮⫘↔-1000111101101","layer":3},{"info":"NaN≹⇙⪍≮⫘↔-1000111101101=NaN","layer":2},{"info":"≮⫘↔-1001110010⋳⪒NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":46,"expression_no_base_symbol":"((⇁⨣⪵$1723$)⨪↰⇹($3000$⊭↱$1429$)⪨≂$4718$⨰$4645$*($7375$⋷$1077$))⊠≄⫣","expression":"((⇁⨣⪵≮⫘↔11010111011)⨪↰⇹(≮⫘↔101110111000⊭↱≮⫘↔10110010101)⪨≂≮⫘↔1001001101110⨰≮⫘↔1001000100101*(≮⫘↔1110011001111⋷≮⫘↔10000110101))⊠≄⫣","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":108,"operation_count":8,"complexity_ratio":13.5,"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":1723,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3000,"base":2},"right_expr":{"type":"numeric_atoms","value":1429,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4718,"base":2},"right_expr":{"type":"numeric_atoms","value":4645,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7375,"base":2},"right_expr":{"type":"numeric_atoms","value":1077,"base":2}}}}},"used_operators":["DIvbN7qnHd","sdazOOVcIp","tmPS8pqC7x","inkyxCbjAn","COABgblf1C","9HNa5Wba9A","eewbuw0ToL","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1723","layer":4},{"info":"compute unary expreesion, input=1723, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3000","layer":4},{"info":"number node, value=1429","layer":4},{"info":"compute binary expreesion, left_input=3000, right_input=1429, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3137","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3137, 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=4718","layer":4},{"info":"number node, value=4645","layer":4},{"info":"compute binary expreesion, left_input=4718, right_input=4645, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=83","layer":3},{"info":"number node, value=7375","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=7375, right_input=1077, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-5221","layer":3},{"info":"compute binary expreesion, left_input=83, right_input=-5221, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-433343","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-433343, 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 unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⇁⨣⪵≮⫘↔11010111011)⨪↰⇹(≮⫘↔101110111000⊭↱≮⫘↔10110010101)⪨≂≮⫘↔1001001101110⨰≮⫘↔1001000100101*(≮⫘↔1110011001111⋷≮⫘↔10000110101))⊠≄⫣=NaN","reverse_text":"NaN=((⇁⨣⪵≮⫘↔11010111011)⨪↰⇹(≮⫘↔101110111000⊭↱≮⫘↔10110010101)⪨≂≮⫘↔1001001101110⨰≮⫘↔1001000100101*(≮⫘↔1110011001111⋷≮⫘↔10000110101))⊠≄⫣","cot":[{"info":"⇁⨣⪵≮⫘↔11010111011=NaN","layer":3},{"info":"≮⫘↔101110111000⊭↱≮⫘↔10110010101=≮⫘↔-110001000001","layer":3},{"info":"NaN⨪↰⇹≮⫘↔-110001000001=NaN","layer":2},{"info":"≮⫘↔1001001101110⨰≮⫘↔1001000100101=≮⫘↔1010011","layer":3},{"info":"≮⫘↔1110011001111⋷≮⫘↔10000110101=≮⫘↔-1010001100101","layer":3},{"info":"≮⫘↔1010011*≮⫘↔-1010001100101=≮⫘↔-1101001110010111111","layer":2},{"info":"NaN⪨≂≮⫘↔-1101001110010111111=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":47,"expression_no_base_symbol":"((≦∁$2584$∲⫓$2607$)↪⪝)⨽((($2802$/$7653$)⨸⪁(-$7660$))⪄($1764$⩚⊴⇥$4183$)≹⇙⪍(⨑⩽⪐$2033$))","expression":"((≦∁≮⫘↔101000011000∲⫓≮⫘↔101000101111)↪⪝)⨽(((≮⫘↔101011110010/≮⫘↔1110111100101)⨸⪁(-≮⫘↔1110111101100))⪄(≮⫘↔11011100100⩚⊴⇥≮⫘↔1000001010111)≹⇙⪍(⨑⩽⪐≮⫘↔11111110001))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19578809,"operation_count":11,"complexity_ratio":1779891.7272727273,"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":2584,"base":2},"right_expr":{"type":"numeric_atoms","value":2607,"base":2}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2802,"base":2},"right_expr":{"type":"numeric_atoms","value":7653,"base":2}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":7660,"base":2}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1764,"base":2},"right_expr":{"type":"numeric_atoms","value":4183,"base":2}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2033,"base":2}}}}},"used_operators":["8HhzD0ZcuI","l07mrZUIn9","9ICcGScMcE","i8ToyICDmI","SUmda5xLS4","g55IO6H4Gj","XhwjNDsVaA","t8gj7n24qd","AHs5Up7iyr","NTOWxs364D","AF7qkfDlqP"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","2DDjHMKMc0","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"-Inf","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2584","layer":4},{"info":"number node, value=2607","layer":4},{"info":"compute binary expreesion, left_input=2584, right_input=2607, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":2},{"info":"compute unary expreesion, input=-320, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-19578240","layer":1},{"info":"number node, value=2802","layer":4},{"info":"number node, value=7653","layer":4},{"info":"compute binary expreesion, left_input=2802, right_input=7653, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=7660","layer":4},{"info":"compute unary expreesion, input=7660, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-7660","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7660, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-15320","layer":2},{"info":"number node, value=1764","layer":4},{"info":"number node, value=4183","layer":4},{"info":"compute binary expreesion, left_input=1764, right_input=4183, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6068","layer":3},{"info":"number node, value=2033","layer":4},{"info":"compute unary expreesion, input=2033, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1760","layer":3},{"info":"compute binary expreesion, left_input=-6068, right_input=-1760, 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=-15320, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=-19578240, right_input=3979, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":0}],"base":2,"result_base":2,"text":"((≦∁≮⫘↔101000011000∲⫓≮⫘↔101000101111)↪⪝)⨽(((≮⫘↔101011110010/≮⫘↔1110111100101)⨸⪁(-≮⫘↔1110111101100))⪄(≮⫘↔11011100100⩚⊴⇥≮⫘↔1000001010111)≹⇙⪍(⨑⩽⪐≮⫘↔11111110001))=-Inf","reverse_text":"-Inf=((≦∁≮⫘↔101000011000∲⫓≮⫘↔101000101111)↪⪝)⨽(((≮⫘↔101011110010/≮⫘↔1110111100101)⨸⪁(-≮⫘↔1110111101100))⪄(≮⫘↔11011100100⩚⊴⇥≮⫘↔1000001010111)≹⇙⪍(⨑⩽⪐≮⫘↔11111110001))","cot":[{"info":"≮⫘↔101000011000∲⫓≮⫘↔101000101111=≮⫘↔0","layer":3},{"info":"≦∁≮⫘↔0=≮⫘↔-101000000","layer":2},{"info":"≮⫘↔-101000000↪⪝=≮⫘↔-1001010101011110110000000","layer":1},{"info":"≮⫘↔101011110010/≮⫘↔1110111100101=≮⫘↔0","layer":3},{"info":"-≮⫘↔1110111101100=≮⫘↔-1110111101100","layer":3},{"info":"≮⫘↔0⨸⪁≮⫘↔-1110111101100=≮⫘↔-11101111011000","layer":2},{"info":"≮⫘↔11011100100⩚⊴⇥≮⫘↔1000001010111=≮⫘↔-1011110110100","layer":3},{"info":"⨑⩽⪐≮⫘↔11111110001=≮⫘↔-11011100000","layer":3},{"info":"≮⫘↔-1011110110100≹⇙⪍≮⫘↔-11011100000=NaN","layer":2},{"info":"≮⫘↔-11101111011000⪄NaN=≮⫘↔111110001011","layer":1},{"info":"≮⫘↔-1001010101011110110000000⨽≮⫘↔111110001011=-Inf","layer":0}]}
{"id":48,"expression_no_base_symbol":"(↣≠⋷$1696$)⪮%⊝($1015$⨓$5867$)∼(≤/($5347$⩤))∑⇟⊟((($2182$%$5368$)⫥∨⫟($6617$∸))≧⫂∧(($1287$-$4087$)⨐⩸⫘$3875$⊴$3209$))","expression":"(↣≠⋷≮⫘↔11010100000)⪮%⊝(≮⫘↔1111110111⨓≮⫘↔1011011101011)∼(≤/(≮⫘↔1010011100011⩤))∑⇟⊟(((≮⫘↔100010000110%≮⫘↔1010011111000)⫥∨⫟(≮⫘↔1100111011001∸))≧⫂∧((≮⫘↔10100000111-≮⫘↔111111110111)⨐⩸⫘≮⫘↔111100100011⊴≮⫘↔110010001001))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9777,"operation_count":14,"complexity_ratio":698.3571428571429,"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":1696,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1015,"base":2},"right_expr":{"type":"numeric_atoms","value":5867,"base":2}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":5347,"base":2}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2182,"base":2},"right_expr":{"type":"numeric_atoms","value":5368,"base":2}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":6617,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1287,"base":2},"right_expr":{"type":"numeric_atoms","value":4087,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3875,"base":2},"right_expr":{"type":"numeric_atoms","value":3209,"base":2}}}}},"used_operators":["U7g4x0WXJJ","DyGG3AbaNP","IWmyXbctLI","Asc51vEJeQ","3ViojmjbAp","eLAdDNolq6","Z2TMIBDE3Q","Ph9nP6C5qx","KYD54nUTWz","k8jYdgA6NY","o20kRiQErp","fu6greOZ01","rysDP5nf3Z","Nsiff2A1zJ"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","tmPS8pqC7x","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1696","layer":4},{"info":"compute unary expreesion, input=1696, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1015","layer":4},{"info":"number node, value=5867","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=5867, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5870","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5870, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=5347","layer":4},{"info":"compute unary expreesion, input=5347, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5347","layer":3},{"info":"compute unary expreesion, input=-5347, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=5831","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5831, 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=2182","layer":4},{"info":"number node, value=5368","layer":4},{"info":"compute binary expreesion, left_input=2182, right_input=5368, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2182","layer":3},{"info":"number node, value=6617","layer":4},{"info":"compute unary expreesion, input=6617, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=2182, right_input=177, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1287","layer":4},{"info":"number node, value=4087","layer":4},{"info":"compute binary expreesion, left_input=1287, right_input=4087, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2800","layer":3},{"info":"number node, value=3875","layer":4},{"info":"number node, value=3209","layer":4},{"info":"compute binary expreesion, left_input=3875, right_input=3209, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2800, 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=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↣≠⋷≮⫘↔11010100000)⪮%⊝(≮⫘↔1111110111⨓≮⫘↔1011011101011)∼(≤/(≮⫘↔1010011100011⩤))∑⇟⊟(((≮⫘↔100010000110%≮⫘↔1010011111000)⫥∨⫟(≮⫘↔1100111011001∸))≧⫂∧((≮⫘↔10100000111-≮⫘↔111111110111)⨐⩸⫘≮⫘↔111100100011⊴≮⫘↔110010001001))=NaN","reverse_text":"NaN=(↣≠⋷≮⫘↔11010100000)⪮%⊝(≮⫘↔1111110111⨓≮⫘↔1011011101011)∼(≤/(≮⫘↔1010011100011⩤))∑⇟⊟(((≮⫘↔100010000110%≮⫘↔1010011111000)⫥∨⫟(≮⫘↔1100111011001∸))≧⫂∧((≮⫘↔10100000111-≮⫘↔111111110111)⨐⩸⫘≮⫘↔111100100011⊴≮⫘↔110010001001))","cot":[{"info":"↣≠⋷≮⫘↔11010100000=NaN","layer":3},{"info":"≮⫘↔1111110111⨓≮⫘↔1011011101011=≮⫘↔-1011011101110","layer":3},{"info":"NaN⪮%⊝≮⫘↔-1011011101110=NaN","layer":2},{"info":"≮⫘↔1010011100011⩤=≮⫘↔-1010011100011","layer":3},{"info":"≤/≮⫘↔-1010011100011=≮⫘↔1011011000111","layer":2},{"info":"NaN∼≮⫘↔1011011000111=NaN","layer":1},{"info":"≮⫘↔100010000110%≮⫘↔1010011111000=≮⫘↔100010000110","layer":3},{"info":"≮⫘↔1100111011001∸=≮⫘↔10110001","layer":3},{"info":"≮⫘↔100010000110⫥∨⫟≮⫘↔10110001=NaN","layer":2},{"info":"≮⫘↔10100000111-≮⫘↔111111110111=≮⫘↔-101011110000","layer":3},{"info":"≮⫘↔111100100011⊴≮⫘↔110010001001=NaN","layer":3},{"info":"≮⫘↔-101011110000⨐⩸⫘NaN=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":49,"expression_no_base_symbol":"((↯⪼$1703$)⪮%⊝(⪲⇎$3143$)⪘⫢(⨞⊢($3189$⪄$1999$)))∼(⨞⊢($1480$⋓$3190$)⪛($1703$/$7702$))","expression":"((↯⪼≮⫘↔11010100111)⪮%⊝(⪲⇎≮⫘↔110001000111)⪘⫢(⨞⊢(≮⫘↔110001110101⪄≮⫘↔11111001111)))∼(⨞⊢(≮⫘↔10111001000⋓≮⫘↔110001110110)⪛(≮⫘↔11010100111/≮⫘↔1111000010110))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":184,"operation_count":11,"complexity_ratio":16.727272727272727,"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":1703,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3143,"base":2}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3189,"base":2},"right_expr":{"type":"numeric_atoms","value":1999,"base":2}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1480,"base":2},"right_expr":{"type":"numeric_atoms","value":3190,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1703,"base":2},"right_expr":{"type":"numeric_atoms","value":7702,"base":2}}}}},"used_operators":["DyGG3AbaNP","oacrs7FA3X","IWmyXbctLI","8jW3W4yZS5","XPYlsWDdGa","xUOZtlo3hN","SUmda5xLS4","uFcxV4UQCh","T2fj7uvVaJ","XhwjNDsVaA"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1703","layer":4},{"info":"compute unary expreesion, input=1703, 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=3143","layer":4},{"info":"compute unary expreesion, input=3143, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6286","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=6286, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=274","layer":2},{"info":"number node, value=3189","layer":4},{"info":"number node, value=1999","layer":4},{"info":"compute binary expreesion, left_input=3189, right_input=1999, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-476057","layer":3},{"info":"compute unary expreesion, input=-476057, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=475883","layer":2},{"info":"compute binary expreesion, left_input=274, right_input=475883, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=424","layer":1},{"info":"number node, value=1480","layer":4},{"info":"number node, value=3190","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=3190, 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=1703","layer":4},{"info":"number node, value=7702","layer":4},{"info":"compute binary expreesion, left_input=1703, right_input=7702, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=424, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((↯⪼≮⫘↔11010100111)⪮%⊝(⪲⇎≮⫘↔110001000111)⪘⫢(⨞⊢(≮⫘↔110001110101⪄≮⫘↔11111001111)))∼(⨞⊢(≮⫘↔10111001000⋓≮⫘↔110001110110)⪛(≮⫘↔11010100111/≮⫘↔1111000010110))=NaN","reverse_text":"NaN=((↯⪼≮⫘↔11010100111)⪮%⊝(⪲⇎≮⫘↔110001000111)⪘⫢(⨞⊢(≮⫘↔110001110101⪄≮⫘↔11111001111)))∼(⨞⊢(≮⫘↔10111001000⋓≮⫘↔110001110110)⪛(≮⫘↔11010100111/≮⫘↔1111000010110))","cot":[{"info":"↯⪼≮⫘↔11010100111=≮⫘↔-10101","layer":3},{"info":"⪲⇎≮⫘↔110001000111=≮⫘↔1100010001110","layer":3},{"info":"≮⫘↔-10101⪮%⊝≮⫘↔1100010001110=≮⫘↔100010010","layer":2},{"info":"≮⫘↔110001110101⪄≮⫘↔11111001111=≮⫘↔-1110100001110011001","layer":3},{"info":"⨞⊢≮⫘↔-1110100001110011001=≮⫘↔1110100001011101011","layer":2},{"info":"≮⫘↔100010010⪘⫢≮⫘↔1110100001011101011=≮⫘↔110101000","layer":1},{"info":"≮⫘↔10111001000⋓≮⫘↔110001110110=≮⫘↔0","layer":3},{"info":"≮⫘↔11010100111/≮⫘↔1111000010110=≮⫘↔0","layer":3},{"info":"≮⫘↔0⪛≮⫘↔0=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"≮⫘↔110101000∼NaN=NaN","layer":0}]}
{"id":50,"expression_no_base_symbol":"(∂($1029$⪐)≹⇙⪍($3672$∼$6354$))≹⇙⪍($4064$⪘⫢$7657$↙($3404$⊭∹↮)%(⨑⩽⪐$3020$∑⇟⊟$1721$))","expression":"(∂(≮⫘↔10000000101⪐)≹⇙⪍(≮⫘↔111001011000∼≮⫘↔1100011010010))≹⇙⪍(≮⫘↔111111100000⪘⫢≮⫘↔1110111101001↙(≮⫘↔110101001100⊭∹↮)%(⨑⩽⪐≮⫘↔101111001100∑⇟⊟≮⫘↔11010111001))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6920,"operation_count":11,"complexity_ratio":629.0909090909091,"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":1029,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3672,"base":2},"right_expr":{"type":"numeric_atoms","value":6354,"base":2}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4064,"base":2},"right_expr":{"type":"numeric_atoms","value":7657,"base":2}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3404,"base":2}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3020,"base":2},"right_expr":{"type":"numeric_atoms","value":1721,"base":2}}}}},"used_operators":["AHs5Up7iyr","Uaa54Peajs","eH2TOUuTDT","DyGG3AbaNP","k8jYdgA6NY","yyfyN0ffXY","oacrs7FA3X","xNBdhnnwKq","AF7qkfDlqP","U7g4x0WXJJ"],"dependent_operators":["dWAJyo7jo9","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1029","layer":4},{"info":"compute unary expreesion, input=1029, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2058","layer":3},{"info":"number node, value=3672","layer":4},{"info":"number node, value=6354","layer":4},{"info":"compute binary expreesion, left_input=3672, right_input=6354, 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=2058, 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 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":1},{"info":"number node, value=4064","layer":4},{"info":"number node, value=7657","layer":4},{"info":"compute binary expreesion, left_input=4064, right_input=7657, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8004","layer":3},{"info":"number node, value=3404","layer":4},{"info":"compute unary expreesion, input=3404, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6808","layer":3},{"info":"compute binary expreesion, left_input=8004, right_input=6808, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-20424","layer":2},{"info":"number node, value=3020","layer":4},{"info":"number node, value=1721","layer":4},{"info":"compute binary expreesion, left_input=3020, right_input=1721, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-20424, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(∂(≮⫘↔10000000101⪐)≹⇙⪍(≮⫘↔111001011000∼≮⫘↔1100011010010))≹⇙⪍(≮⫘↔111111100000⪘⫢≮⫘↔1110111101001↙(≮⫘↔110101001100⊭∹↮)%(⨑⩽⪐≮⫘↔101111001100∑⇟⊟≮⫘↔11010111001))=NaN","reverse_text":"NaN=(∂(≮⫘↔10000000101⪐)≹⇙⪍(≮⫘↔111001011000∼≮⫘↔1100011010010))≹⇙⪍(≮⫘↔111111100000⪘⫢≮⫘↔1110111101001↙(≮⫘↔110101001100⊭∹↮)%(⨑⩽⪐≮⫘↔101111001100∑⇟⊟≮⫘↔11010111001))","cot":[{"info":"≮⫘↔10000000101⪐=≮⫘↔100000001010","layer":3},{"info":"≮⫘↔111001011000∼≮⫘↔1100011010010=NaN","layer":3},{"info":"≮⫘↔100000001010≹⇙⪍NaN=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"≮⫘↔111111100000⪘⫢≮⫘↔1110111101001=≮⫘↔1111101000100","layer":3},{"info":"≮⫘↔110101001100⊭∹↮=≮⫘↔1101010011000","layer":3},{"info":"≮⫘↔1111101000100↙≮⫘↔1101010011000=≮⫘↔-100111111001000","layer":2},{"info":"≮⫘↔101111001100∑⇟⊟≮⫘↔11010111001=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"≮⫘↔-100111111001000%NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":51,"expression_no_base_symbol":"(($7326$⨐⩸⫘$2225$)⪢($6184$⋥≓≎$3078$)≋⫹)⨽($8182$⨪↰⇹$1309$↺$1749$⋥≓≎$8911$)∑⇟⊟((≦∁$5133$)⪨≂($2140$⋷$1127$))","expression":"((≮⫘↔1110010011110⨐⩸⫘≮⫘↔100010110001)⪢(≮⫘↔1100000101000⋥≓≎≮⫘↔110000000110)≋⫹)⨽(≮⫘↔1111111110110⨪↰⇹≮⫘↔10100011101↺≮⫘↔11011010101⋥≓≎≮⫘↔10001011001111)∑⇟⊟((≦∁≮⫘↔1010000001101)⪨≂(≮⫘↔100001011100⋷≮⫘↔10001100111))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8221,"operation_count":12,"complexity_ratio":685.0833333333334,"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":7326,"base":2},"right_expr":{"type":"numeric_atoms","value":2225,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6184,"base":2},"right_expr":{"type":"numeric_atoms","value":3078,"base":2}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":8182,"base":2},"right_expr":{"type":"numeric_atoms","value":1309,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1749,"base":2},"right_expr":{"type":"numeric_atoms","value":8911,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5133,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2140,"base":2},"right_expr":{"type":"numeric_atoms","value":1127,"base":2}}}}},"used_operators":["8HhzD0ZcuI","N41Kp7NANJ","dWAJyo7jo9","fu6greOZ01","Qy55tPpLXF","U7g4x0WXJJ","7j4O788W3g","tmPS8pqC7x","sdazOOVcIp","9ICcGScMcE","23Mk6UjR3U"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7326","layer":4},{"info":"number node, value=2225","layer":4},{"info":"compute binary expreesion, left_input=7326, right_input=2225, 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=6184","layer":4},{"info":"number node, value=3078","layer":4},{"info":"compute binary expreesion, left_input=6184, right_input=3078, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5, 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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":1},{"info":"number node, value=8182","layer":4},{"info":"number node, value=1309","layer":4},{"info":"compute binary expreesion, left_input=8182, right_input=1309, 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=8182","layer":3},{"info":"number node, value=1749","layer":4},{"info":"number node, value=8911","layer":4},{"info":"compute binary expreesion, left_input=1749, right_input=8911, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=16106","layer":3},{"info":"compute binary expreesion, left_input=8182, right_input=16106, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=16106","layer":2},{"info":"number node, value=5133","layer":4},{"info":"compute unary expreesion, input=5133, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5133","layer":3},{"info":"number node, value=2140","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=2140, right_input=1127, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=114","layer":3},{"info":"compute binary expreesion, left_input=5133, right_input=114, 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=10140","layer":2},{"info":"compute binary expreesion, left_input=16106, right_input=10140, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1110010011110⨐⩸⫘≮⫘↔100010110001)⪢(≮⫘↔1100000101000⋥≓≎≮⫘↔110000000110)≋⫹)⨽(≮⫘↔1111111110110⨪↰⇹≮⫘↔10100011101↺≮⫘↔11011010101⋥≓≎≮⫘↔10001011001111)∑⇟⊟((≦∁≮⫘↔1010000001101)⪨≂(≮⫘↔100001011100⋷≮⫘↔10001100111))=NaN","reverse_text":"NaN=((≮⫘↔1110010011110⨐⩸⫘≮⫘↔100010110001)⪢(≮⫘↔1100000101000⋥≓≎≮⫘↔110000000110)≋⫹)⨽(≮⫘↔1111111110110⨪↰⇹≮⫘↔10100011101↺≮⫘↔11011010101⋥≓≎≮⫘↔10001011001111)∑⇟⊟((≦∁≮⫘↔1010000001101)⪨≂(≮⫘↔100001011100⋷≮⫘↔10001100111))","cot":[{"info":"≮⫘↔1110010011110⨐⩸⫘≮⫘↔100010110001=NaN","layer":3},{"info":"≮⫘↔1100000101000⋥≓≎≮⫘↔110000000110=≮⫘↔101","layer":3},{"info":"NaN⪢≮⫘↔101=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"≮⫘↔1111111110110⨪↰⇹≮⫘↔10100011101=≮⫘↔1111111110110","layer":3},{"info":"≮⫘↔11011010101⋥≓≎≮⫘↔10001011001111=≮⫘↔11111011101010","layer":3},{"info":"≮⫘↔1111111110110↺≮⫘↔11111011101010=≮⫘↔11111011101010","layer":2},{"info":"≦∁≮⫘↔1010000001101=≮⫘↔1010000001101","layer":3},{"info":"≮⫘↔100001011100⋷≮⫘↔10001100111=≮⫘↔1110010","layer":3},{"info":"≮⫘↔1010000001101⪨≂≮⫘↔1110010=≮⫘↔10011110011100","layer":2},{"info":"≮⫘↔11111011101010∑⇟⊟≮⫘↔10011110011100=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":52,"expression_no_base_symbol":"((⨑⩽⪐(⫓⪴$1065$))∸)⊴(≦∁(↥$7310$⨎$2766$))","expression":"((⨑⩽⪐(⫓⪴≮⫘↔10000101001))∸)⊴(≦∁(↥≮⫘↔1110010001110⨎≮⫘↔101011001110))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1798,"operation_count":7,"complexity_ratio":256.85714285714283,"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":1065,"base":2}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7310,"base":2},"right_expr":{"type":"numeric_atoms","value":2766,"base":2}}}}},"used_operators":["Nsiff2A1zJ","o20kRiQErp","AF7qkfDlqP","eLxqMNBOBk","9ICcGScMcE","A8NUZmVepG","rJVOvQCfKK"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1065","layer":4},{"info":"compute unary expreesion, input=1065, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1134225","layer":3},{"info":"compute unary expreesion, input=1134225, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1133952","layer":2},{"info":"compute unary expreesion, input=-1133952, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=7310","layer":4},{"info":"number node, value=2766","layer":4},{"info":"compute binary expreesion, left_input=7310, right_input=2766, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2766","layer":3},{"info":"compute unary expreesion, input=2766, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=12","layer":2},{"info":"compute unary expreesion, input=12, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-464","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=-464, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨑⩽⪐(⫓⪴≮⫘↔10000101001))∸)⊴(≦∁(↥≮⫘↔1110010001110⨎≮⫘↔101011001110))=NaN","reverse_text":"NaN=((⨑⩽⪐(⫓⪴≮⫘↔10000101001))∸)⊴(≦∁(↥≮⫘↔1110010001110⨎≮⫘↔101011001110))","cot":[{"info":"⫓⪴≮⫘↔10000101001=≮⫘↔100010100111010010001","layer":3},{"info":"⨑⩽⪐≮⫘↔100010100111010010001=≮⫘↔-100010100110110000000","layer":2},{"info":"≮⫘↔-100010100110110000000∸=≮⫘↔10110001","layer":1},{"info":"≮⫘↔1110010001110⨎≮⫘↔101011001110=≮⫘↔101011001110","layer":3},{"info":"↥≮⫘↔101011001110=≮⫘↔1100","layer":2},{"info":"≦∁≮⫘↔1100=≮⫘↔-111010000","layer":1},{"info":"≮⫘↔10110001⊴≮⫘↔-111010000=NaN","layer":0}]}
{"id":53,"expression_no_base_symbol":"⨵≀≌((∥⊫$1194$↬$1016$)⪒($2881$⊉≛↸$2823$+($5807$≣⋋)))","expression":"⨵≀≌((∥⊫≮⫘↔10010101010↬≮⫘↔1111111000)⪒(≮⫘↔101101000001⊉≛↸≮⫘↔101100000111+(≮⫘↔1011010101111≣⋋)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":527,"operation_count":7,"complexity_ratio":75.28571428571429,"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":1194,"base":2},"right_expr":{"type":"numeric_atoms","value":1016,"base":2}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2881,"base":2},"right_expr":{"type":"numeric_atoms","value":2823,"base":2}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":5807,"base":2}}}}},"used_operators":["srAu1WTS94","f6k1SAg4EE","P8v4zCKN1o","B5M0gjZbta","W4YGzv6Whe","DZ8iAZOCBD","Tcnh7f0tEr"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1194","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=1016, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":2},{"info":"number node, value=2881","layer":4},{"info":"number node, value=2823","layer":4},{"info":"compute binary expreesion, left_input=2881, right_input=2823, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5762","layer":3},{"info":"number node, value=5807","layer":4},{"info":"compute unary expreesion, input=5807, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5762, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5762","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5762, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⨵≀≌((∥⊫≮⫘↔10010101010↬≮⫘↔1111111000)⪒(≮⫘↔101101000001⊉≛↸≮⫘↔101100000111+(≮⫘↔1011010101111≣⋋)))=NaN","reverse_text":"NaN=⨵≀≌((∥⊫≮⫘↔10010101010↬≮⫘↔1111111000)⪒(≮⫘↔101101000001⊉≛↸≮⫘↔101100000111+(≮⫘↔1011010101111≣⋋)))","cot":[{"info":"≮⫘↔10010101010↬≮⫘↔1111111000=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"≮⫘↔101101000001⊉≛↸≮⫘↔101100000111=≮⫘↔1011010000010","layer":3},{"info":"≮⫘↔1011010101111≣⋋=≮⫘↔0","layer":3},{"info":"≮⫘↔1011010000010+≮⫘↔0=≮⫘↔1011010000010","layer":2},{"info":"NaN⪒≮⫘↔1011010000010=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":54,"expression_no_base_symbol":"((⇁⨣⪵$6936$)+⇶⊼$1339$⪮%⊝$5383$⫸⊐(($7649$⨳⩥⨓$9032$)≦≮≮))⨐⩸⫘($4556$⨓$8173$↙(⊥$1705$))⋳⪒($1130$⪒$6991$/$3479$-$5031$)","expression":"((⇁⨣⪵≮⫘↔1101100011000)+⇶⊼≮⫘↔10100111011⪮%⊝≮⫘↔1010100000111⫸⊐((≮⫘↔1110111100001⨳⩥⨓≮⫘↔10001101001000)≦≮≮))⨐⩸⫘(≮⫘↔1000111001100⨓≮⫘↔1111111101101↙(⊥≮⫘↔11010101001))⋳⪒(≮⫘↔10001101010⪒≮⫘↔1101101001111/≮⫘↔110110010111-≮⫘↔1001110100111)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8219,"operation_count":14,"complexity_ratio":587.0714285714286,"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":6936,"base":2}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1339,"base":2},"right_expr":{"type":"numeric_atoms","value":5383,"base":2}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":7649,"base":2},"right_expr":{"type":"numeric_atoms","value":9032,"base":2}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4556,"base":2},"right_expr":{"type":"numeric_atoms","value":8173,"base":2}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1705,"base":2}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1130,"base":2},"right_expr":{"type":"numeric_atoms","value":6991,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3479,"base":2},"right_expr":{"type":"numeric_atoms","value":5031,"base":2}}}}},"used_operators":["fu6greOZ01","mqXw5SEYmG","TpPTUOHfaN","inkyxCbjAn","IWmyXbctLI","D4vGDi5EA2","nCS4ZIUYfx","12rbrZMWeM","yyfyN0ffXY","3ViojmjbAp","Q3PJZHRvZv","XhwjNDsVaA","f6k1SAg4EE","rysDP5nf3Z"],"dependent_operators":["3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","B5M0gjZbta","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6936","layer":4},{"info":"compute unary expreesion, input=6936, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1339","layer":4},{"info":"number node, value=5383","layer":4},{"info":"compute binary expreesion, left_input=1339, right_input=5383, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2994","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2994, 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=7649","layer":4},{"info":"number node, value=9032","layer":4},{"info":"compute binary expreesion, left_input=7649, right_input=9032, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1383","layer":3},{"info":"compute unary expreesion, input=1383, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4149","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4149, 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=4556","layer":4},{"info":"number node, value=8173","layer":4},{"info":"compute binary expreesion, left_input=4556, right_input=8173, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8176","layer":3},{"info":"number node, value=1705","layer":4},{"info":"compute unary expreesion, input=1705, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8176, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8176","layer":2},{"info":"number node, value=1130","layer":4},{"info":"number node, value=6991","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=6991, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8121","layer":3},{"info":"number node, value=3479","layer":4},{"info":"number node, value=5031","layer":4},{"info":"compute binary expreesion, left_input=3479, right_input=5031, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1552","layer":3},{"info":"compute binary expreesion, left_input=-8121, right_input=-1552, op_id = XhwjNDsVaA binary_op_definition= 'None', output=5","layer":2},{"info":"compute binary expreesion, left_input=-8176, right_input=5, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-16644","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-16644, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⇁⨣⪵≮⫘↔1101100011000)+⇶⊼≮⫘↔10100111011⪮%⊝≮⫘↔1010100000111⫸⊐((≮⫘↔1110111100001⨳⩥⨓≮⫘↔10001101001000)≦≮≮))⨐⩸⫘(≮⫘↔1000111001100⨓≮⫘↔1111111101101↙(⊥≮⫘↔11010101001))⋳⪒(≮⫘↔10001101010⪒≮⫘↔1101101001111/≮⫘↔110110010111-≮⫘↔1001110100111)=NaN","reverse_text":"NaN=((⇁⨣⪵≮⫘↔1101100011000)+⇶⊼≮⫘↔10100111011⪮%⊝≮⫘↔1010100000111⫸⊐((≮⫘↔1110111100001⨳⩥⨓≮⫘↔10001101001000)≦≮≮))⨐⩸⫘(≮⫘↔1000111001100⨓≮⫘↔1111111101101↙(⊥≮⫘↔11010101001))⋳⪒(≮⫘↔10001101010⪒≮⫘↔1101101001111/≮⫘↔110110010111-≮⫘↔1001110100111)","cot":[{"info":"⇁⨣⪵≮⫘↔1101100011000=NaN","layer":3},{"info":"≮⫘↔10100111011⪮%⊝≮⫘↔1010100000111=≮⫘↔101110110010","layer":3},{"info":"NaN+⇶⊼≮⫘↔101110110010=NaN","layer":2},{"info":"≮⫘↔1110111100001⨳⩥⨓≮⫘↔10001101001000=≮⫘↔10101100111","layer":3},{"info":"≮⫘↔10101100111≦≮≮=≮⫘↔-1000000110101","layer":2},{"info":"NaN⫸⊐≮⫘↔-1000000110101=NaN","layer":1},{"info":"≮⫘↔1000111001100⨓≮⫘↔1111111101101=≮⫘↔-1111111110000","layer":3},{"info":"⊥≮⫘↔11010101001=NaN","layer":3},{"info":"≮⫘↔-1111111110000↙NaN=≮⫘↔-1111111110000","layer":2},{"info":"≮⫘↔10001101010⪒≮⫘↔1101101001111=≮⫘↔-1111110111001","layer":3},{"info":"≮⫘↔110110010111-≮⫘↔1001110100111=≮⫘↔-11000010000","layer":3},{"info":"≮⫘↔-1111110111001/≮⫘↔-11000010000=≮⫘↔101","layer":2},{"info":"≮⫘↔-1111111110000⋳⪒≮⫘↔101=≮⫘↔-100000100000100","layer":1},{"info":"NaN⨐⩸⫘≮⫘↔-100000100000100=NaN","layer":0}]}
{"id":55,"expression_no_base_symbol":"($4723$∑⇟⊟$5737$)⪛$3279$⨟⋌⩍$1732$≭($1816$⫡⨏$2399$)⋝⋈⪟(⨈⫕$1819$)-(↔((⪲⇎$3026$)⫸⊐($1995$∲⫓$3701$)))","expression":"(≮⫘↔1001001110011∑⇟⊟≮⫘↔1011001101001)⪛≮⫘↔110011001111⨟⋌⩍≮⫘↔11011000100≭(≮⫘↔11100011000⫡⨏≮⫘↔100101011111)⋝⋈⪟(⨈⫕≮⫘↔11100011011)-(↔((⪲⇎≮⫘↔101111010010)⫸⊐(≮⫘↔11111001011∲⫓≮⫘↔111001110101)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":456,"operation_count":12,"complexity_ratio":38.0,"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":4723,"base":2},"right_expr":{"type":"numeric_atoms","value":5737,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3279,"base":2},"right_expr":{"type":"numeric_atoms","value":1732,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1816,"base":2},"right_expr":{"type":"numeric_atoms","value":2399,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1819,"base":2}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3026,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1995,"base":2},"right_expr":{"type":"numeric_atoms","value":3701,"base":2}}}}},"used_operators":["rysDP5nf3Z","rxpJgHHUmx","uFcxV4UQCh","U7g4x0WXJJ","rGHVDoGpnC","2DDjHMKMc0","QMFrweE19q","megm06wKyl","ruOEQAzv1W","mqXw5SEYmG","XPYlsWDdGa","i8ToyICDmI"],"dependent_operators":["AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4723","layer":4},{"info":"number node, value=5737","layer":4},{"info":"compute binary expreesion, left_input=4723, right_input=5737, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3279","layer":4},{"info":"number node, value=1732","layer":4},{"info":"compute binary expreesion, left_input=3279, right_input=1732, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=1816","layer":4},{"info":"number node, value=2399","layer":4},{"info":"compute binary expreesion, left_input=1816, right_input=2399, 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=14661","layer":3},{"info":"number node, value=1819","layer":4},{"info":"compute unary expreesion, input=1819, 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=14661, right_input=-21, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=14661","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=14661, 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=3026","layer":4},{"info":"compute unary expreesion, input=3026, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6052","layer":3},{"info":"number node, value=1995","layer":4},{"info":"number node, value=3701","layer":4},{"info":"compute binary expreesion, left_input=1995, right_input=3701, 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=6052, 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 unary expreesion, input=-125, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-894","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-894, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1001001110011∑⇟⊟≮⫘↔1011001101001)⪛≮⫘↔110011001111⨟⋌⩍≮⫘↔11011000100≭(≮⫘↔11100011000⫡⨏≮⫘↔100101011111)⋝⋈⪟(⨈⫕≮⫘↔11100011011)-(↔((⪲⇎≮⫘↔101111010010)⫸⊐(≮⫘↔11111001011∲⫓≮⫘↔111001110101)))=NaN","reverse_text":"NaN=(≮⫘↔1001001110011∑⇟⊟≮⫘↔1011001101001)⪛≮⫘↔110011001111⨟⋌⩍≮⫘↔11011000100≭(≮⫘↔11100011000⫡⨏≮⫘↔100101011111)⋝⋈⪟(⨈⫕≮⫘↔11100011011)-(↔((⪲⇎≮⫘↔101111010010)⫸⊐(≮⫘↔11111001011∲⫓≮⫘↔111001110101)))","cot":[{"info":"≮⫘↔1001001110011∑⇟⊟≮⫘↔1011001101001=NaN","layer":3},{"info":"≮⫘↔110011001111⨟⋌⩍≮⫘↔11011000100=NaN","layer":3},{"info":"NaN⪛NaN=NaN","layer":2},{"info":"≮⫘↔11100011000⫡⨏≮⫘↔100101011111=≮⫘↔11100101000101","layer":3},{"info":"⨈⫕≮⫘↔11100011011=≮⫘↔-10101","layer":3},{"info":"≮⫘↔11100101000101⋝⋈⪟≮⫘↔-10101=≮⫘↔11100101000101","layer":2},{"info":"NaN≭≮⫘↔11100101000101=NaN","layer":1},{"info":"⪲⇎≮⫘↔101111010010=≮⫘↔1011110100100","layer":3},{"info":"≮⫘↔11111001011∲⫓≮⫘↔111001110101=≮⫘↔0","layer":3},{"info":"≮⫘↔1011110100100⫸⊐≮⫘↔0=≮⫘↔-1111101","layer":2},{"info":"↔≮⫘↔-1111101=≮⫘↔-1101111110","layer":1},{"info":"NaN-≮⫘↔-1101111110=NaN","layer":0}]}
{"id":56,"expression_no_base_symbol":"(($3139$⊴$6393$⨳⩥⨓$1789$⪘⫢$3001$)⨐⩸⫘(($1350$≋⫹)*$1437$⋳⪒$2108$))∑⇟⊟(+⊝⨔($1431$≎⊠⪸$1310$))↬(⇁⨣⪵$1690$⨓$6049$)","expression":"((≮⫘↔110001000011⊴≮⫘↔1100011111001⨳⩥⨓≮⫘↔11011111101⪘⫢≮⫘↔101110111001)⨐⩸⫘((≮⫘↔10101000110≋⫹)*≮⫘↔10110011101⋳⪒≮⫘↔100000111100))∑⇟⊟(+⊝⨔(≮⫘↔10110010111≎⊠⪸≮⫘↔10100011110))↬(⇁⨣⪵≮⫘↔11010011010⨓≮⫘↔1011110100001)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13275,"operation_count":13,"complexity_ratio":1021.1538461538462,"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":3139,"base":2},"right_expr":{"type":"numeric_atoms","value":6393,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1789,"base":2},"right_expr":{"type":"numeric_atoms","value":3001,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1350,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1437,"base":2},"right_expr":{"type":"numeric_atoms","value":2108,"base":2}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1431,"base":2},"right_expr":{"type":"numeric_atoms","value":1310,"base":2}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1690,"base":2},"right_expr":{"type":"numeric_atoms","value":6049,"base":2}}}}},"used_operators":["U7g4x0WXJJ","fu6greOZ01","nCS4ZIUYfx","Nsiff2A1zJ","oacrs7FA3X","9HNa5Wba9A","N41Kp7NANJ","12rbrZMWeM","B5M0gjZbta","DhbWaqg5eL","bJkvcejdHO","inkyxCbjAn","3ViojmjbAp"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3139","layer":4},{"info":"number node, value=6393","layer":4},{"info":"compute binary expreesion, left_input=3139, right_input=6393, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1789","layer":4},{"info":"number node, value=3001","layer":4},{"info":"compute binary expreesion, left_input=1789, right_input=3001, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3454","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3454, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=1350","layer":4},{"info":"compute unary expreesion, input=1350, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2700","layer":3},{"info":"number node, value=1437","layer":4},{"info":"number node, value=2108","layer":4},{"info":"compute binary expreesion, left_input=1437, right_input=2108, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=479","layer":3},{"info":"compute binary expreesion, left_input=-2700, right_input=479, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-1293300","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1293300, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1431","layer":4},{"info":"number node, value=1310","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=1310, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=370156","layer":3},{"info":"compute unary expreesion, input=370156, 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=1690","layer":4},{"info":"number node, value=6049","layer":4},{"info":"compute binary expreesion, left_input=1690, right_input=6049, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6052","layer":3},{"info":"compute unary expreesion, input=-6052, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1522, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110001000011⊴≮⫘↔1100011111001⨳⩥⨓≮⫘↔11011111101⪘⫢≮⫘↔101110111001)⨐⩸⫘((≮⫘↔10101000110≋⫹)*≮⫘↔10110011101⋳⪒≮⫘↔100000111100))∑⇟⊟(+⊝⨔(≮⫘↔10110010111≎⊠⪸≮⫘↔10100011110))↬(⇁⨣⪵≮⫘↔11010011010⨓≮⫘↔1011110100001)=NaN","reverse_text":"NaN=((≮⫘↔110001000011⊴≮⫘↔1100011111001⨳⩥⨓≮⫘↔11011111101⪘⫢≮⫘↔101110111001)⨐⩸⫘((≮⫘↔10101000110≋⫹)*≮⫘↔10110011101⋳⪒≮⫘↔100000111100))∑⇟⊟(+⊝⨔(≮⫘↔10110010111≎⊠⪸≮⫘↔10100011110))↬(⇁⨣⪵≮⫘↔11010011010⨓≮⫘↔1011110100001)","cot":[{"info":"≮⫘↔110001000011⊴≮⫘↔1100011111001=NaN","layer":3},{"info":"≮⫘↔11011111101⪘⫢≮⫘↔101110111001=≮⫘↔110101111110","layer":3},{"info":"NaN⨳⩥⨓≮⫘↔110101111110=NaN","layer":2},{"info":"≮⫘↔10101000110≋⫹=≮⫘↔-101010001100","layer":3},{"info":"≮⫘↔10110011101⋳⪒≮⫘↔100000111100=≮⫘↔111011111","layer":3},{"info":"≮⫘↔-101010001100*≮⫘↔111011111=≮⫘↔-100111011101111110100","layer":2},{"info":"NaN⨐⩸⫘≮⫘↔-100111011101111110100=NaN","layer":1},{"info":"≮⫘↔10110010111≎⊠⪸≮⫘↔10100011110=≮⫘↔1011010010111101100","layer":3},{"info":"+⊝⨔≮⫘↔1011010010111101100=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔11010011010⨓≮⫘↔1011110100001=≮⫘↔-1011110100100","layer":3},{"info":"⇁⨣⪵≮⫘↔-1011110100100=NaN","layer":2},{"info":"≮⫘↔10111110010↬NaN=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":57,"expression_no_base_symbol":"($2394$⊭↱$4811$)∑⇟⊟($1403$⋥≓≎$3351$)⨰(($2656$⫡⨏$2493$)⨁⊸⫻)⋷(⩦⩻⨪$3437$⋳⪒$6831$)⋓($4720$⊭↱$3565$)⪘⫢($2732$-$3394$)","expression":"(≮⫘↔100101011010⊭↱≮⫘↔1001011001011)∑⇟⊟(≮⫘↔10101111011⋥≓≎≮⫘↔110100010111)⨰((≮⫘↔101001100000⫡⨏≮⫘↔100110111101)⨁⊸⫻)⋷(⩦⩻⨪≮⫘↔110101101101⋳⪒≮⫘↔1101010101111)⋓(≮⫘↔1001001110000⊭↱≮⫘↔110111101101)⪘⫢(≮⫘↔101010101100-≮⫘↔110101000010)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":66,"operation_count":13,"complexity_ratio":5.076923076923077,"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":2394,"base":2},"right_expr":{"type":"numeric_atoms","value":4811,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1403,"base":2},"right_expr":{"type":"numeric_atoms","value":3351,"base":2}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2656,"base":2},"right_expr":{"type":"numeric_atoms","value":2493,"base":2}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3437,"base":2},"right_expr":{"type":"numeric_atoms","value":6831,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4720,"base":2},"right_expr":{"type":"numeric_atoms","value":3565,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2732,"base":2},"right_expr":{"type":"numeric_atoms","value":3394,"base":2}}}}},"used_operators":["23Mk6UjR3U","eewbuw0ToL","U7g4x0WXJJ","COABgblf1C","Qy55tPpLXF","glklzrTFfD","QMFrweE19q","T2fj7uvVaJ","2td37pGCOC","12rbrZMWeM","oacrs7FA3X","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2394","layer":4},{"info":"number node, value=4811","layer":4},{"info":"compute binary expreesion, left_input=2394, right_input=4811, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4839","layer":3},{"info":"number node, value=1403","layer":4},{"info":"number node, value=3351","layer":4},{"info":"compute binary expreesion, left_input=1403, right_input=3351, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5332","layer":3},{"info":"compute binary expreesion, left_input=4839, right_input=5332, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2656","layer":4},{"info":"number node, value=2493","layer":4},{"info":"compute binary expreesion, left_input=2656, right_input=2493, 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=19049","layer":3},{"info":"compute unary expreesion, input=19049, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=19049","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19049, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=3437","layer":4},{"info":"number node, value=6831","layer":4},{"info":"compute binary expreesion, left_input=3437, right_input=6831, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-244","layer":3},{"info":"compute unary expreesion, input=-244, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-244","layer":2},{"info":"number node, value=4720","layer":4},{"info":"number node, value=3565","layer":4},{"info":"compute binary expreesion, left_input=4720, right_input=3565, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2305","layer":3},{"info":"number node, value=2732","layer":4},{"info":"number node, value=3394","layer":4},{"info":"compute binary expreesion, left_input=2732, right_input=3394, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-662","layer":3},{"info":"compute binary expreesion, left_input=-2305, right_input=-662, 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=-244, right_input=-1, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100101011010⊭↱≮⫘↔1001011001011)∑⇟⊟(≮⫘↔10101111011⋥≓≎≮⫘↔110100010111)⨰((≮⫘↔101001100000⫡⨏≮⫘↔100110111101)⨁⊸⫻)⋷(⩦⩻⨪≮⫘↔110101101101⋳⪒≮⫘↔1101010101111)⋓(≮⫘↔1001001110000⊭↱≮⫘↔110111101101)⪘⫢(≮⫘↔101010101100-≮⫘↔110101000010)=NaN","reverse_text":"NaN=(≮⫘↔100101011010⊭↱≮⫘↔1001011001011)∑⇟⊟(≮⫘↔10101111011⋥≓≎≮⫘↔110100010111)⨰((≮⫘↔101001100000⫡⨏≮⫘↔100110111101)⨁⊸⫻)⋷(⩦⩻⨪≮⫘↔110101101101⋳⪒≮⫘↔1101010101111)⋓(≮⫘↔1001001110000⊭↱≮⫘↔110111101101)⪘⫢(≮⫘↔101010101100-≮⫘↔110101000010)","cot":[{"info":"≮⫘↔100101011010⊭↱≮⫘↔1001011001011=≮⫘↔1001011100111","layer":3},{"info":"≮⫘↔10101111011⋥≓≎≮⫘↔110100010111=≮⫘↔1010011010100","layer":3},{"info":"≮⫘↔1001011100111∑⇟⊟≮⫘↔1010011010100=NaN","layer":2},{"info":"≮⫘↔101001100000⫡⨏≮⫘↔100110111101=≮⫘↔100101001101001","layer":3},{"info":"≮⫘↔100101001101001⨁⊸⫻=≮⫘↔100101001101001","layer":2},{"info":"NaN⨰≮⫘↔100101001101001=NaN","layer":1},{"info":"≮⫘↔110101101101⋳⪒≮⫘↔1101010101111=≮⫘↔-11110100","layer":3},{"info":"⩦⩻⨪≮⫘↔-11110100=≮⫘↔-11110100","layer":2},{"info":"≮⫘↔1001001110000⊭↱≮⫘↔110111101101=≮⫘↔-100100000001","layer":3},{"info":"≮⫘↔101010101100-≮⫘↔110101000010=≮⫘↔-1010010110","layer":3},{"info":"≮⫘↔-100100000001⪘⫢≮⫘↔-1010010110=≮⫘↔-1","layer":2},{"info":"≮⫘↔-11110100⋓≮⫘↔-1=≮⫘↔0","layer":1},{"info":"NaN⋷≮⫘↔0=NaN","layer":0}]}
{"id":58,"expression_no_base_symbol":"(≉(+⊝⨔$5914$)⋓($1176$⋥≓≎$2079$))≭(($2547$⪄$3665$)⨎($3535$⋳⪒$4878$))⨓(-($1852$⊦⊿))","expression":"(≉(+⊝⨔≮⫘↔1011100011010)⋓(≮⫘↔10010011000⋥≓≎≮⫘↔100000011111))≭((≮⫘↔100111110011⪄≮⫘↔111001010001)⨎(≮⫘↔110111001111⋳⪒≮⫘↔1001100001110))⨓(-(≮⫘↔11100111100⊦⊿))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5811,"operation_count":11,"complexity_ratio":528.2727272727273,"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":5914,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1176,"base":2},"right_expr":{"type":"numeric_atoms","value":2079,"base":2}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2547,"base":2},"right_expr":{"type":"numeric_atoms","value":3665,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3535,"base":2},"right_expr":{"type":"numeric_atoms","value":4878,"base":2}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1852,"base":2}}}}},"used_operators":["rxpJgHHUmx","e1ybzncUwg","T2fj7uvVaJ","DhbWaqg5eL","Qy55tPpLXF","3ViojmjbAp","rJVOvQCfKK","SUmda5xLS4","12rbrZMWeM","t8gj7n24qd","14qkJME0vr"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5914","layer":4},{"info":"compute unary expreesion, input=5914, 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=1176","layer":4},{"info":"number node, value=2079","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=2079, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3015","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=3015, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":1},{"info":"number node, value=2547","layer":4},{"info":"number node, value=3665","layer":4},{"info":"compute binary expreesion, left_input=2547, right_input=3665, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-387705","layer":3},{"info":"number node, value=3535","layer":4},{"info":"number node, value=4878","layer":4},{"info":"compute binary expreesion, left_input=3535, right_input=4878, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1905","layer":3},{"info":"compute binary expreesion, left_input=-387705, right_input=1905, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1905","layer":2},{"info":"number node, value=1852","layer":4},{"info":"compute unary expreesion, input=1852, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5635","layer":3},{"info":"compute unary expreesion, input=-5635, op_id = t8gj7n24qd, unary_op_definition = 'None', output=5635","layer":2},{"info":"compute binary expreesion, left_input=1905, right_input=5635, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5638","layer":1},{"info":"compute binary expreesion, left_input=531, right_input=-5638, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≉(+⊝⨔≮⫘↔1011100011010)⋓(≮⫘↔10010011000⋥≓≎≮⫘↔100000011111))≭((≮⫘↔100111110011⪄≮⫘↔111001010001)⨎(≮⫘↔110111001111⋳⪒≮⫘↔1001100001110))⨓(-(≮⫘↔11100111100⊦⊿))=NaN","reverse_text":"NaN=(≉(+⊝⨔≮⫘↔1011100011010)⋓(≮⫘↔10010011000⋥≓≎≮⫘↔100000011111))≭((≮⫘↔100111110011⪄≮⫘↔111001010001)⨎(≮⫘↔110111001111⋳⪒≮⫘↔1001100001110))⨓(-(≮⫘↔11100111100⊦⊿))","cot":[{"info":"+⊝⨔≮⫘↔1011100011010=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔10010011000⋥≓≎≮⫘↔100000011111=≮⫘↔101111000111","layer":3},{"info":"≮⫘↔10111110010⋓≮⫘↔101111000111=≮⫘↔0","layer":2},{"info":"≉≮⫘↔0=≮⫘↔1000010011","layer":1},{"info":"≮⫘↔100111110011⪄≮⫘↔111001010001=≮⫘↔-1011110101001111001","layer":3},{"info":"≮⫘↔110111001111⋳⪒≮⫘↔1001100001110=≮⫘↔11101110001","layer":3},{"info":"≮⫘↔-1011110101001111001⨎≮⫘↔11101110001=≮⫘↔11101110001","layer":2},{"info":"≮⫘↔11100111100⊦⊿=≮⫘↔-1011000000011","layer":3},{"info":"-≮⫘↔-1011000000011=≮⫘↔1011000000011","layer":2},{"info":"≮⫘↔11101110001⨓≮⫘↔1011000000011=≮⫘↔-1011000000110","layer":1},{"info":"≮⫘↔1000010011≭≮⫘↔-1011000000110=NaN","layer":0}]}
{"id":59,"expression_no_base_symbol":"((($3882$⪄$1746$)∑⇟⊟($9206$⋥≓≎$8373$))⩠)∼(($4705$≦≮≮)⊴($1600$⫸⊐$1738$)≭($3049$⪮%⊝$2298$⊉≛↸(⪲⇎$5900$)))","expression":"(((≮⫘↔111100101010⪄≮⫘↔11011010010)∑⇟⊟(≮⫘↔10001111110110⋥≓≎≮⫘↔10000010110101))⩠)∼((≮⫘↔1001001100001≦≮≮)⊴(≮⫘↔11001000000⫸⊐≮⫘↔11011001010)≭(≮⫘↔101111101001⪮%⊝≮⫘↔100011111010⊉≛↸(⪲⇎≮⫘↔1011100001100)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8722,"operation_count":12,"complexity_ratio":726.8333333333334,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3882,"base":2},"right_expr":{"type":"numeric_atoms","value":1746,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":9206,"base":2},"right_expr":{"type":"numeric_atoms","value":8373,"base":2}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4705,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1600,"base":2},"right_expr":{"type":"numeric_atoms","value":1738,"base":2}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3049,"base":2},"right_expr":{"type":"numeric_atoms","value":2298,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5900,"base":2}}}}},"used_operators":["DyGG3AbaNP","sJAwomhLZr","U7g4x0WXJJ","SUmda5xLS4","Qy55tPpLXF","rxpJgHHUmx","Nsiff2A1zJ","D4vGDi5EA2","mqXw5SEYmG","DZ8iAZOCBD","IWmyXbctLI","XPYlsWDdGa"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3882","layer":4},{"info":"number node, value=1746","layer":4},{"info":"compute binary expreesion, left_input=3882, right_input=1746, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-577609","layer":3},{"info":"number node, value=9206","layer":4},{"info":"number node, value=8373","layer":4},{"info":"compute binary expreesion, left_input=9206, right_input=8373, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7573","layer":3},{"info":"compute binary expreesion, left_input=-577609, right_input=7573, 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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":1},{"info":"number node, value=4705","layer":4},{"info":"compute unary expreesion, input=4705, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-14115","layer":3},{"info":"number node, value=1600","layer":4},{"info":"number node, value=1738","layer":4},{"info":"compute binary expreesion, left_input=1600, right_input=1738, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6827","layer":3},{"info":"compute binary expreesion, left_input=-14115, right_input=6827, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=3049","layer":4},{"info":"number node, value=2298","layer":4},{"info":"compute binary expreesion, left_input=3049, right_input=2298, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6414","layer":3},{"info":"number node, value=5900","layer":4},{"info":"compute unary expreesion, input=5900, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=11800","layer":3},{"info":"compute binary expreesion, left_input=6414, right_input=11800, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12828","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=12828, 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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔111100101010⪄≮⫘↔11011010010)∑⇟⊟(≮⫘↔10001111110110⋥≓≎≮⫘↔10000010110101))⩠)∼((≮⫘↔1001001100001≦≮≮)⊴(≮⫘↔11001000000⫸⊐≮⫘↔11011001010)≭(≮⫘↔101111101001⪮%⊝≮⫘↔100011111010⊉≛↸(⪲⇎≮⫘↔1011100001100)))=NaN","reverse_text":"NaN=(((≮⫘↔111100101010⪄≮⫘↔11011010010)∑⇟⊟(≮⫘↔10001111110110⋥≓≎≮⫘↔10000010110101))⩠)∼((≮⫘↔1001001100001≦≮≮)⊴(≮⫘↔11001000000⫸⊐≮⫘↔11011001010)≭(≮⫘↔101111101001⪮%⊝≮⫘↔100011111010⊉≛↸(⪲⇎≮⫘↔1011100001100)))","cot":[{"info":"≮⫘↔111100101010⪄≮⫘↔11011010010=≮⫘↔-10001101000001001001","layer":3},{"info":"≮⫘↔10001111110110⋥≓≎≮⫘↔10000010110101=≮⫘↔1110110010101","layer":3},{"info":"≮⫘↔-10001101000001001001∑⇟⊟≮⫘↔1110110010101=NaN","layer":2},{"info":"NaN⩠=NaN","layer":1},{"info":"≮⫘↔1001001100001≦≮≮=≮⫘↔-11011100100011","layer":3},{"info":"≮⫘↔11001000000⫸⊐≮⫘↔11011001010=≮⫘↔1101010101011","layer":3},{"info":"≮⫘↔-11011100100011⊴≮⫘↔1101010101011=NaN","layer":2},{"info":"≮⫘↔101111101001⪮%⊝≮⫘↔100011111010=≮⫘↔1100100001110","layer":3},{"info":"⪲⇎≮⫘↔1011100001100=≮⫘↔10111000011000","layer":3},{"info":"≮⫘↔1100100001110⊉≛↸≮⫘↔10111000011000=≮⫘↔11001000011100","layer":2},{"info":"NaN≭≮⫘↔11001000011100=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":60,"expression_no_base_symbol":"(⪲⇎(↯⪼($2826$↺$1455$)))∲⫓(⫛⫱⨽($1363$↬$1362$))⊉≛↸((↽≂$1814$)⋷$3317$⨽$1542$)","expression":"(⪲⇎(↯⪼(≮⫘↔101100001010↺≮⫘↔10110101111)))∲⫓(⫛⫱⨽(≮⫘↔10101010011↬≮⫘↔10101010010))⊉≛↸((↽≂≮⫘↔11100010110)⋷≮⫘↔110011110101⨽≮⫘↔11000000110)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4283,"operation_count":10,"complexity_ratio":428.3,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2826,"base":2},"right_expr":{"type":"numeric_atoms","value":1455,"base":2}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1363,"base":2},"right_expr":{"type":"numeric_atoms","value":1362,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1814,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3317,"base":2},"right_expr":{"type":"numeric_atoms","value":1542,"base":2}}}}},"used_operators":["i8ToyICDmI","XPYlsWDdGa","8jW3W4yZS5","7j4O788W3g","DZ8iAZOCBD","DlLNRPXxWL","B5M0gjZbta","23Mk6UjR3U","u6S6b8DprG","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2826","layer":4},{"info":"number node, value=1455","layer":4},{"info":"compute binary expreesion, left_input=2826, right_input=1455, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1455","layer":3},{"info":"compute unary expreesion, input=1455, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-42","layer":1},{"info":"number node, value=1363","layer":4},{"info":"number node, value=1362","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=1362, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"number node, value=1814","layer":4},{"info":"compute unary expreesion, input=1814, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3628","layer":3},{"info":"number node, value=3317","layer":4},{"info":"number node, value=1542","layer":4},{"info":"compute binary expreesion, left_input=3317, right_input=1542, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-33010779","layer":3},{"info":"compute binary expreesion, left_input=-3628, right_input=-33010779, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7256","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7256, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-42, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⪲⇎(↯⪼(≮⫘↔101100001010↺≮⫘↔10110101111)))∲⫓(⫛⫱⨽(≮⫘↔10101010011↬≮⫘↔10101010010))⊉≛↸((↽≂≮⫘↔11100010110)⋷≮⫘↔110011110101⨽≮⫘↔11000000110)=NaN","reverse_text":"NaN=(⪲⇎(↯⪼(≮⫘↔101100001010↺≮⫘↔10110101111)))∲⫓(⫛⫱⨽(≮⫘↔10101010011↬≮⫘↔10101010010))⊉≛↸((↽≂≮⫘↔11100010110)⋷≮⫘↔110011110101⨽≮⫘↔11000000110)","cot":[{"info":"≮⫘↔101100001010↺≮⫘↔10110101111=≮⫘↔10110101111","layer":3},{"info":"↯⪼≮⫘↔10110101111=≮⫘↔-10101","layer":2},{"info":"⪲⇎≮⫘↔-10101=≮⫘↔-101010","layer":1},{"info":"≮⫘↔10101010011↬≮⫘↔10101010010=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"↽≂≮⫘↔11100010110=≮⫘↔-111000101100","layer":3},{"info":"≮⫘↔110011110101⨽≮⫘↔11000000110=≮⫘↔-1111101111011010001011011","layer":3},{"info":"≮⫘↔-111000101100⋷≮⫘↔-1111101111011010001011011=≮⫘↔1110001011000","layer":2},{"info":"NaN⊉≛↸≮⫘↔1110001011000=NaN","layer":1},{"info":"≮⫘↔-101010∲⫓NaN=NaN","layer":0}]}
{"id":61,"expression_no_base_symbol":"($5235$⋥≓≎$3520$∲⫓(↔$3066$))≎⊠⪸(⨵≀≌$1210$)∀⇚≩($4884$⇼⇔∾$3280$)⋳⪒(($1353$⋥≓≎$8903$)⪘⫢($1986$⊭↱$3097$)⨽(⋗⩬⋾($6925$⫡⨏$1967$)))","expression":"(≮⫘↔1010001110011⋥≓≎≮⫘↔110111000000∲⫓(↔≮⫘↔101111111010))≎⊠⪸(⨵≀≌≮⫘↔10010111010)∀⇚≩(≮⫘↔1001100010100⇼⇔∾≮⫘↔110011010000)⋳⪒((≮⫘↔10101001001⋥≓≎≮⫘↔10001011000111)⪘⫢(≮⫘↔11111000010⊭↱≮⫘↔110000011001)⨽(⋗⩬⋾(≮⫘↔1101100001101⫡⨏≮⫘↔11110101111)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":58337,"operation_count":14,"complexity_ratio":4166.928571428572,"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":5235,"base":2},"right_expr":{"type":"numeric_atoms","value":3520,"base":2}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3066,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1210,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4884,"base":2},"right_expr":{"type":"numeric_atoms","value":3280,"base":2}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1353,"base":2},"right_expr":{"type":"numeric_atoms","value":8903,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1986,"base":2},"right_expr":{"type":"numeric_atoms","value":3097,"base":2}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6925,"base":2},"right_expr":{"type":"numeric_atoms","value":1967,"base":2}}}}},"used_operators":["12rbrZMWeM","bJkvcejdHO","i8ToyICDmI","Qy55tPpLXF","ruOEQAzv1W","LRNGc0VcxI","srAu1WTS94","tifHPKVTfV","8HhzD0ZcuI","oacrs7FA3X","COABgblf1C","DpFCA1CohY","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","X99M06cbEe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"Inf","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5235","layer":4},{"info":"number node, value=3520","layer":4},{"info":"compute binary expreesion, left_input=5235, right_input=3520, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1838","layer":3},{"info":"number node, value=3066","layer":4},{"info":"compute unary expreesion, input=3066, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2793","layer":3},{"info":"compute binary expreesion, left_input=1838, right_input=-2793, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=1838","layer":2},{"info":"number node, value=1210","layer":4},{"info":"compute unary expreesion, input=1210, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3630","layer":3},{"info":"number node, value=4884","layer":4},{"info":"number node, value=3280","layer":4},{"info":"compute binary expreesion, left_input=4884, right_input=3280, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1604","layer":3},{"info":"compute binary expreesion, left_input=-3630, right_input=-1604, 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=1838, 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=1353","layer":4},{"info":"number node, value=8903","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=8903, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=16486","layer":3},{"info":"number node, value=1986","layer":4},{"info":"number node, value=3097","layer":4},{"info":"compute binary expreesion, left_input=1986, right_input=3097, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2227","layer":3},{"info":"compute binary expreesion, left_input=16486, right_input=2227, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=32848","layer":2},{"info":"number node, value=6925","layer":4},{"info":"number node, value=1967","layer":4},{"info":"compute binary expreesion, left_input=6925, right_input=1967, 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=39342","layer":3},{"info":"compute unary expreesion, input=39342, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-118026","layer":2},{"info":"compute binary expreesion, left_input=32848, right_input=-118026, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-inf, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=inf","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1010001110011⋥≓≎≮⫘↔110111000000∲⫓(↔≮⫘↔101111111010))≎⊠⪸(⨵≀≌≮⫘↔10010111010)∀⇚≩(≮⫘↔1001100010100⇼⇔∾≮⫘↔110011010000)⋳⪒((≮⫘↔10101001001⋥≓≎≮⫘↔10001011000111)⪘⫢(≮⫘↔11111000010⊭↱≮⫘↔110000011001)⨽(⋗⩬⋾(≮⫘↔1101100001101⫡⨏≮⫘↔11110101111)))=Inf","reverse_text":"Inf=(≮⫘↔1010001110011⋥≓≎≮⫘↔110111000000∲⫓(↔≮⫘↔101111111010))≎⊠⪸(⨵≀≌≮⫘↔10010111010)∀⇚≩(≮⫘↔1001100010100⇼⇔∾≮⫘↔110011010000)⋳⪒((≮⫘↔10101001001⋥≓≎≮⫘↔10001011000111)⪘⫢(≮⫘↔11111000010⊭↱≮⫘↔110000011001)⨽(⋗⩬⋾(≮⫘↔1101100001101⫡⨏≮⫘↔11110101111)))","cot":[{"info":"≮⫘↔1010001110011⋥≓≎≮⫘↔110111000000=≮⫘↔11100101110","layer":3},{"info":"↔≮⫘↔101111111010=≮⫘↔-101011101001","layer":3},{"info":"≮⫘↔11100101110∲⫓≮⫘↔-101011101001=≮⫘↔11100101110","layer":2},{"info":"⨵≀≌≮⫘↔10010111010=≮⫘↔-111000101110","layer":3},{"info":"≮⫘↔1001100010100⇼⇔∾≮⫘↔110011010000=≮⫘↔-11001000100","layer":3},{"info":"≮⫘↔-111000101110∀⇚≩≮⫘↔-11001000100=NaN","layer":2},{"info":"≮⫘↔11100101110≎⊠⪸NaN=≮⫘↔1000011","layer":1},{"info":"≮⫘↔10101001001⋥≓≎≮⫘↔10001011000111=≮⫘↔100000001100110","layer":3},{"info":"≮⫘↔11111000010⊭↱≮⫘↔110000011001=≮⫘↔100010110011","layer":3},{"info":"≮⫘↔100000001100110⪘⫢≮⫘↔100010110011=≮⫘↔1000000001010000","layer":2},{"info":"≮⫘↔1101100001101⫡⨏≮⫘↔11110101111=≮⫘↔1001100110101110","layer":3},{"info":"⋗⩬⋾≮⫘↔1001100110101110=≮⫘↔-11100110100001010","layer":2},{"info":"≮⫘↔1000000001010000⨽≮⫘↔-11100110100001010=-Inf","layer":1},{"info":"≮⫘↔1000011⋳⪒-Inf=Inf","layer":0}]}
{"id":62,"expression_no_base_symbol":"(($3838$⋫)⪄$6247$⨳⩥⨓$2499$⨵⪆(⊥$4871$)↺(+⊝⨔$1598$))∲⫓(($5449$⪨≂$5121$)⨐⩸⫘(⩦⩻⨪$3019$))⩷∴($1684$∀⇚≩$7632$-(∂$5318$))","expression":"((≮⫘↔111011111110⋫)⪄≮⫘↔1100001100111⨳⩥⨓≮⫘↔100111000011⨵⪆(⊥≮⫘↔1001100000111)↺(+⊝⨔≮⫘↔11000111110))∲⫓((≮⫘↔1010101001001⪨≂≮⫘↔1010000000001)⨐⩸⫘(⩦⩻⨪≮⫘↔101111001011))⩷∴(≮⫘↔11010010100∀⇚≩≮⫘↔1110111010000-(∂≮⫘↔1010011000110))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":15786,"operation_count":15,"complexity_ratio":1052.4,"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":3838,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6247,"base":2},"right_expr":{"type":"numeric_atoms","value":2499,"base":2}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4871,"base":2}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1598,"base":2}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5449,"base":2},"right_expr":{"type":"numeric_atoms","value":5121,"base":2}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3019,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1684,"base":2},"right_expr":{"type":"numeric_atoms","value":7632,"base":2}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":5318,"base":2}}}}},"used_operators":["i8ToyICDmI","2DQ55sFlQl","SUmda5xLS4","JL8yIekQnl","nCS4ZIUYfx","7j4O788W3g","Q3PJZHRvZv","DhbWaqg5eL","9FxExcQeMw","fu6greOZ01","sdazOOVcIp","2td37pGCOC","rysDP5nf3Z","LRNGc0VcxI","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3838","layer":4},{"info":"compute unary expreesion, input=3838, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3838","layer":3},{"info":"number node, value=6247","layer":4},{"info":"number node, value=2499","layer":4},{"info":"compute binary expreesion, left_input=6247, right_input=2499, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3748","layer":3},{"info":"compute binary expreesion, left_input=3838, right_input=-3748, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-549121","layer":2},{"info":"number node, value=4871","layer":4},{"info":"compute unary expreesion, input=4871, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1598","layer":4},{"info":"compute unary expreesion, input=1598, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=-549121, right_input=1522, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=5449","layer":4},{"info":"number node, value=5121","layer":4},{"info":"compute binary expreesion, left_input=5449, right_input=5121, 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=758","layer":3},{"info":"number node, value=3019","layer":4},{"info":"compute unary expreesion, input=3019, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3019","layer":3},{"info":"compute binary expreesion, left_input=758, right_input=3019, 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=1684","layer":4},{"info":"number node, value=7632","layer":4},{"info":"compute binary expreesion, left_input=1684, right_input=7632, 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=5318","layer":4},{"info":"compute unary expreesion, input=5318, 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=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111011111110⋫)⪄≮⫘↔1100001100111⨳⩥⨓≮⫘↔100111000011⨵⪆(⊥≮⫘↔1001100000111)↺(+⊝⨔≮⫘↔11000111110))∲⫓((≮⫘↔1010101001001⪨≂≮⫘↔1010000000001)⨐⩸⫘(⩦⩻⨪≮⫘↔101111001011))⩷∴(≮⫘↔11010010100∀⇚≩≮⫘↔1110111010000-(∂≮⫘↔1010011000110))=NaN","reverse_text":"NaN=((≮⫘↔111011111110⋫)⪄≮⫘↔1100001100111⨳⩥⨓≮⫘↔100111000011⨵⪆(⊥≮⫘↔1001100000111)↺(+⊝⨔≮⫘↔11000111110))∲⫓((≮⫘↔1010101001001⪨≂≮⫘↔1010000000001)⨐⩸⫘(⩦⩻⨪≮⫘↔101111001011))⩷∴(≮⫘↔11010010100∀⇚≩≮⫘↔1110111010000-(∂≮⫘↔1010011000110))","cot":[{"info":"≮⫘↔111011111110⋫=≮⫘↔111011111110","layer":3},{"info":"≮⫘↔1100001100111⨳⩥⨓≮⫘↔100111000011=≮⫘↔-111010100100","layer":3},{"info":"≮⫘↔111011111110⪄≮⫘↔-111010100100=≮⫘↔-10000110000100000001","layer":2},{"info":"⊥≮⫘↔1001100000111=NaN","layer":3},{"info":"+⊝⨔≮⫘↔11000111110=≮⫘↔10111110010","layer":3},{"info":"NaN↺≮⫘↔10111110010=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔-10000110000100000001⨵⪆≮⫘↔10111110010=≮⫘↔10100000","layer":1},{"info":"≮⫘↔1010101001001⪨≂≮⫘↔1010000000001=≮⫘↔1011110110","layer":3},{"info":"⩦⩻⨪≮⫘↔101111001011=≮⫘↔101111001011","layer":3},{"info":"≮⫘↔1011110110⨐⩸⫘≮⫘↔101111001011=NaN","layer":2},{"info":"≮⫘↔11010010100∀⇚≩≮⫘↔1110111010000=NaN","layer":3},{"info":"∂≮⫘↔1010011000110=NaN","layer":3},{"info":"NaN-NaN=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"≮⫘↔10100000∲⫓NaN=NaN","layer":0}]}
{"id":63,"expression_no_base_symbol":"(($8552$⫌⩹⨱)∼(-$1716$)⊭∹↮)⨽((⇁⨣⪵$4109$⫥∨⫟$2686$)⪨≂(⨰⫟⨤$7738$)⇼⇔∾(+⊝⨔$4030$))","expression":"((≮⫘↔10000101101000⫌⩹⨱)∼(-≮⫘↔11010110100)⊭∹↮)⨽((⇁⨣⪵≮⫘↔1000000001101⫥∨⫟≮⫘↔101001111110)⪨≂(⨰⫟⨤≮⫘↔1111000111010)⇼⇔∾(+⊝⨔≮⫘↔111110111110))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":30702,"operation_count":11,"complexity_ratio":2791.090909090909,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":8552,"base":2}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1716,"base":2}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4109,"base":2},"right_expr":{"type":"numeric_atoms","value":2686,"base":2}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":7738,"base":2}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4030,"base":2}}}}},"used_operators":["8HhzD0ZcuI","xNBdhnnwKq","DyGG3AbaNP","EBcxylXtPf","t8gj7n24qd","sdazOOVcIp","inkyxCbjAn","KYD54nUTWz","tifHPKVTfV","Tw270M8GLb","DhbWaqg5eL"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8552","layer":4},{"info":"compute unary expreesion, input=8552, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=18505","layer":3},{"info":"number node, value=1716","layer":4},{"info":"compute unary expreesion, input=1716, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1716","layer":3},{"info":"compute binary expreesion, left_input=18505, right_input=-1716, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":1},{"info":"number node, value=4109","layer":4},{"info":"number node, value=2686","layer":4},{"info":"compute binary expreesion, left_input=4109, right_input=2686, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=7738","layer":4},{"info":"compute unary expreesion, input=7738, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=4030","layer":4},{"info":"compute unary expreesion, input=4030, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(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=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10000101101000⫌⩹⨱)∼(-≮⫘↔11010110100)⊭∹↮)⨽((⇁⨣⪵≮⫘↔1000000001101⫥∨⫟≮⫘↔101001111110)⪨≂(⨰⫟⨤≮⫘↔1111000111010)⇼⇔∾(+⊝⨔≮⫘↔111110111110))=NaN","reverse_text":"NaN=((≮⫘↔10000101101000⫌⩹⨱)∼(-≮⫘↔11010110100)⊭∹↮)⨽((⇁⨣⪵≮⫘↔1000000001101⫥∨⫟≮⫘↔101001111110)⪨≂(⨰⫟⨤≮⫘↔1111000111010)⇼⇔∾(+⊝⨔≮⫘↔111110111110))","cot":[{"info":"≮⫘↔10000101101000⫌⩹⨱=≮⫘↔100100001001001","layer":3},{"info":"-≮⫘↔11010110100=≮⫘↔-11010110100","layer":3},{"info":"≮⫘↔100100001001001∼≮⫘↔-11010110100=NaN","layer":2},{"info":"NaN⊭∹↮=NaN","layer":1},{"info":"≮⫘↔1000000001101⫥∨⫟≮⫘↔101001111110=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"⨰⫟⨤≮⫘↔1111000111010=NaN","layer":3},{"info":"+⊝⨔≮⫘↔111110111110=≮⫘↔10111110010","layer":3},{"info":"NaN⇼⇔∾≮⫘↔10111110010=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":64,"expression_no_base_symbol":"⨰⫟⨤((∥⊫($6766$⪨≂$3682$))⇼⇔∾(⫓⪴($2843$⩷∴$3455$)))","expression":"⨰⫟⨤((∥⊫(≮⫘↔1101001101110⪨≂≮⫘↔111001100010))⇼⇔∾(⫓⪴(≮⫘↔101100011011⩷∴≮⫘↔110101111111)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3141231,"operation_count":6,"complexity_ratio":523538.5,"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":6766,"base":2},"right_expr":{"type":"numeric_atoms","value":3682,"base":2}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2843,"base":2},"right_expr":{"type":"numeric_atoms","value":3455,"base":2}}}}},"used_operators":["Tw270M8GLb","tifHPKVTfV","P8v4zCKN1o","sdazOOVcIp","eLxqMNBOBk","9FxExcQeMw"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6766","layer":4},{"info":"number node, value=3682","layer":4},{"info":"compute binary expreesion, left_input=6766, right_input=3682, 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=6270","layer":3},{"info":"compute unary expreesion, input=6270, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=7138","layer":2},{"info":"number node, value=2843","layer":4},{"info":"number node, value=3455","layer":4},{"info":"compute binary expreesion, left_input=2843, right_input=3455, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1256","layer":3},{"info":"compute unary expreesion, input=-1256, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1577536","layer":2},{"info":"compute binary expreesion, left_input=7138, right_input=1577536, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1570398","layer":1},{"info":"compute unary expreesion, input=1570398, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⨰⫟⨤((∥⊫(≮⫘↔1101001101110⪨≂≮⫘↔111001100010))⇼⇔∾(⫓⪴(≮⫘↔101100011011⩷∴≮⫘↔110101111111)))=NaN","reverse_text":"NaN=⨰⫟⨤((∥⊫(≮⫘↔1101001101110⪨≂≮⫘↔111001100010))⇼⇔∾(⫓⪴(≮⫘↔101100011011⩷∴≮⫘↔110101111111)))","cot":[{"info":"≮⫘↔1101001101110⪨≂≮⫘↔111001100010=≮⫘↔1100001111110","layer":3},{"info":"∥⊫≮⫘↔1100001111110=≮⫘↔1101111100010","layer":2},{"info":"≮⫘↔101100011011⩷∴≮⫘↔110101111111=≮⫘↔-10011101000","layer":3},{"info":"⫓⪴≮⫘↔-10011101000=≮⫘↔110000001001001000000","layer":2},{"info":"≮⫘↔1101111100010⇼⇔∾≮⫘↔110000001001001000000=≮⫘↔101111111011001011110","layer":1},{"info":"⨰⫟⨤≮⫘↔101111111011001011110=NaN","layer":0}]}
{"id":65,"expression_no_base_symbol":"(($1155$⪘⫢$4613$↺($1061$⊭↱$6345$))⩚⊴⇥($7106$⩷∴$2458$⇼⇔∾($2150$⫡⨏$3628$)))⨪↰⇹(⪲⇎($4132$⨪↰⇹$1345$)∼($4147$⩨$1156$))","expression":"((≮⫘↔10010000011⪘⫢≮⫘↔1001000000101↺(≮⫘↔10000100101⊭↱≮⫘↔1100011001001))⩚⊴⇥(≮⫘↔1101111000010⩷∴≮⫘↔100110011010⇼⇔∾(≮⫘↔100001100110⫡⨏≮⫘↔111000101100)))⨪↰⇹(⪲⇎(≮⫘↔1000000100100⨪↰⇹≮⫘↔10101000001)∼(≮⫘↔1000000110011⩨≮⫘↔10010000100))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":24500,"operation_count":12,"complexity_ratio":2041.6666666666667,"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":1155,"base":2},"right_expr":{"type":"numeric_atoms","value":4613,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1061,"base":2},"right_expr":{"type":"numeric_atoms","value":6345,"base":2}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7106,"base":2},"right_expr":{"type":"numeric_atoms","value":2458,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2150,"base":2},"right_expr":{"type":"numeric_atoms","value":3628,"base":2}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4132,"base":2},"right_expr":{"type":"numeric_atoms","value":1345,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4147,"base":2},"right_expr":{"type":"numeric_atoms","value":1156,"base":2}}}}},"used_operators":["tmPS8pqC7x","NTOWxs364D","7j4O788W3g","oacrs7FA3X","COABgblf1C","tifHPKVTfV","9FxExcQeMw","QMFrweE19q","XPYlsWDdGa","DyGG3AbaNP","2DlMacCsIx"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"≮⫘↔100111011111011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1155","layer":4},{"info":"number node, value=4613","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=4613, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2186","layer":3},{"info":"number node, value=1061","layer":4},{"info":"number node, value=6345","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=6345, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=10573","layer":3},{"info":"compute binary expreesion, left_input=2186, right_input=10573, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=10573","layer":2},{"info":"number node, value=7106","layer":4},{"info":"number node, value=2458","layer":4},{"info":"compute binary expreesion, left_input=7106, right_input=2458, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=9264","layer":3},{"info":"number node, value=2150","layer":4},{"info":"number node, value=3628","layer":4},{"info":"compute binary expreesion, left_input=2150, right_input=3628, 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=18789","layer":3},{"info":"compute binary expreesion, left_input=9264, right_input=18789, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=9525","layer":2},{"info":"compute binary expreesion, left_input=10573, right_input=9525, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-20219","layer":1},{"info":"number node, value=4132","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=4132, right_input=1345, 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=4132","layer":3},{"info":"number node, value=4147","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=4147, right_input=1156, 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=4132, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=40","layer":1},{"info":"compute binary expreesion, left_input=-20219, right_input=40, 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=20219","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10010000011⪘⫢≮⫘↔1001000000101↺(≮⫘↔10000100101⊭↱≮⫘↔1100011001001))⩚⊴⇥(≮⫘↔1101111000010⩷∴≮⫘↔100110011010⇼⇔∾(≮⫘↔100001100110⫡⨏≮⫘↔111000101100)))⨪↰⇹(⪲⇎(≮⫘↔1000000100100⨪↰⇹≮⫘↔10101000001)∼(≮⫘↔1000000110011⩨≮⫘↔10010000100))=≮⫘↔100111011111011","reverse_text":"≮⫘↔100111011111011=((≮⫘↔10010000011⪘⫢≮⫘↔1001000000101↺(≮⫘↔10000100101⊭↱≮⫘↔1100011001001))⩚⊴⇥(≮⫘↔1101111000010⩷∴≮⫘↔100110011010⇼⇔∾(≮⫘↔100001100110⫡⨏≮⫘↔111000101100)))⨪↰⇹(⪲⇎(≮⫘↔1000000100100⨪↰⇹≮⫘↔10101000001)∼(≮⫘↔1000000110011⩨≮⫘↔10010000100))","cot":[{"info":"≮⫘↔10010000011⪘⫢≮⫘↔1001000000101=≮⫘↔100010001010","layer":3},{"info":"≮⫘↔10000100101⊭↱≮⫘↔1100011001001=≮⫘↔10100101001101","layer":3},{"info":"≮⫘↔100010001010↺≮⫘↔10100101001101=≮⫘↔10100101001101","layer":2},{"info":"≮⫘↔1101111000010⩷∴≮⫘↔100110011010=≮⫘↔10010000110000","layer":3},{"info":"≮⫘↔100001100110⫡⨏≮⫘↔111000101100=≮⫘↔100100101100101","layer":3},{"info":"≮⫘↔10010000110000⇼⇔∾≮⫘↔100100101100101=≮⫘↔10010100110101","layer":2},{"info":"≮⫘↔10100101001101⩚⊴⇥≮⫘↔10010100110101=≮⫘↔-100111011111011","layer":1},{"info":"≮⫘↔1000000100100⨪↰⇹≮⫘↔10101000001=≮⫘↔1000000100100","layer":3},{"info":"≮⫘↔1000000110011⩨≮⫘↔10010000100=≮⫘↔0","layer":3},{"info":"≮⫘↔1000000100100∼≮⫘↔0=≮⫘↔10100","layer":2},{"info":"⪲⇎≮⫘↔10100=≮⫘↔101000","layer":1},{"info":"≮⫘↔-100111011111011⨪↰⇹≮⫘↔101000=≮⫘↔100111011111011","layer":0}]}
{"id":66,"expression_no_base_symbol":"(⪲⇎(↽≂$4258$)⋓($1709$-$2124$))%(⫛⫱⨽($9664$⫥∨⫟$2228$⨵⪆(⫓⪴$1577$)))","expression":"(⪲⇎(↽≂≮⫘↔1000010100010)⋓(≮⫘↔11010101101-≮⫘↔100001001100))%(⫛⫱⨽(≮⫘↔10010111000000⫥∨⫟≮⫘↔100010110100⨵⪆(⫓⪴≮⫘↔11000101001)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2823,"operation_count":9,"complexity_ratio":313.6666666666667,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4258,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1709,"base":2},"right_expr":{"type":"numeric_atoms","value":2124,"base":2}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":9664,"base":2},"right_expr":{"type":"numeric_atoms","value":2228,"base":2}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1577,"base":2}}}}},"used_operators":["k8jYdgA6NY","XPYlsWDdGa","T2fj7uvVaJ","u6S6b8DprG","rysDP5nf3Z","DlLNRPXxWL","2DQ55sFlQl","KYD54nUTWz","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4258","layer":4},{"info":"compute unary expreesion, input=4258, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8516","layer":3},{"info":"number node, value=1709","layer":4},{"info":"number node, value=2124","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=2124, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-415","layer":3},{"info":"compute binary expreesion, left_input=-8516, right_input=-415, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=0","layer":1},{"info":"number node, value=9664","layer":4},{"info":"number node, value=2228","layer":4},{"info":"compute binary expreesion, left_input=9664, right_input=2228, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1577","layer":4},{"info":"compute unary expreesion, input=1577, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2486929","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2486929, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⪲⇎(↽≂≮⫘↔1000010100010)⋓(≮⫘↔11010101101-≮⫘↔100001001100))%(⫛⫱⨽(≮⫘↔10010111000000⫥∨⫟≮⫘↔100010110100⨵⪆(⫓⪴≮⫘↔11000101001)))=NaN","reverse_text":"NaN=(⪲⇎(↽≂≮⫘↔1000010100010)⋓(≮⫘↔11010101101-≮⫘↔100001001100))%(⫛⫱⨽(≮⫘↔10010111000000⫥∨⫟≮⫘↔100010110100⨵⪆(⫓⪴≮⫘↔11000101001)))","cot":[{"info":"↽≂≮⫘↔1000010100010=≮⫘↔-10000101000100","layer":3},{"info":"≮⫘↔11010101101-≮⫘↔100001001100=≮⫘↔-110011111","layer":3},{"info":"≮⫘↔-10000101000100⋓≮⫘↔-110011111=≮⫘↔0","layer":2},{"info":"⪲⇎≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔10010111000000⫥∨⫟≮⫘↔100010110100=NaN","layer":3},{"info":"⫓⪴≮⫘↔11000101001=≮⫘↔1001011111001010010001","layer":3},{"info":"NaN⨵⪆≮⫘↔1001011111001010010001=≮⫘↔10100000","layer":2},{"info":"⫛⫱⨽≮⫘↔10100000=≮⫘↔0","layer":1},{"info":"≮⫘↔0%≮⫘↔0=NaN","layer":0}]}
{"id":67,"expression_no_base_symbol":"↥(($1036$∼$2057$⇼⇔∾(⨵≀≌$1589$))⊦⊿)","expression":"↥((≮⫘↔10000001100∼≮⫘↔100000001001⇼⇔∾(⨵≀≌≮⫘↔11000110101))⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":34,"operation_count":5,"complexity_ratio":6.8,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1036,"base":2},"right_expr":{"type":"numeric_atoms","value":2057,"base":2}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1589,"base":2}}}}},"used_operators":["A8NUZmVepG","14qkJME0vr","tifHPKVTfV","DyGG3AbaNP","srAu1WTS94"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1036","layer":4},{"info":"number node, value=2057","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=2057, 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=1589","layer":4},{"info":"compute unary expreesion, input=1589, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4767","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4767, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', 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":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↥((≮⫘↔10000001100∼≮⫘↔100000001001⇼⇔∾(⨵≀≌≮⫘↔11000110101))⊦⊿)=NaN","reverse_text":"NaN=↥((≮⫘↔10000001100∼≮⫘↔100000001001⇼⇔∾(⨵≀≌≮⫘↔11000110101))⊦⊿)","cot":[{"info":"≮⫘↔10000001100∼≮⫘↔100000001001=NaN","layer":3},{"info":"⨵≀≌≮⫘↔11000110101=≮⫘↔-1001010011111","layer":3},{"info":"NaN⇼⇔∾≮⫘↔-1001010011111=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":68,"expression_no_base_symbol":"(↩($2788$⫸⊐$2576$)≧⫂∧($3487$⫸⊐$1930$))⇼⇔∾(⨞⊢(⫛⫱⨽($2024$≧⫂∧$1198$)))","expression":"(↩(≮⫘↔101011100100⫸⊐≮⫘↔101000010000)≧⫂∧(≮⫘↔110110011111⫸⊐≮⫘↔11110001010))⇼⇔∾(⨞⊢(⫛⫱⨽(≮⫘↔11111101000≧⫂∧≮⫘↔10010101110)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1492,"operation_count":8,"complexity_ratio":186.5,"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":2788,"base":2},"right_expr":{"type":"numeric_atoms","value":2576,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3487,"base":2},"right_expr":{"type":"numeric_atoms","value":1930,"base":2}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2024,"base":2},"right_expr":{"type":"numeric_atoms","value":1198,"base":2}}}}},"used_operators":["tifHPKVTfV","jLgFTUHLKL","Ph9nP6C5qx","mqXw5SEYmG","xUOZtlo3hN","DlLNRPXxWL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"≮⫘↔1101001100000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2788","layer":4},{"info":"number node, value=2576","layer":4},{"info":"compute binary expreesion, left_input=2788, right_input=2576, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10179","layer":3},{"info":"number node, value=3487","layer":4},{"info":"number node, value=1930","layer":4},{"info":"compute binary expreesion, left_input=3487, right_input=1930, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7595","layer":3},{"info":"compute binary expreesion, left_input=10179, right_input=7595, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7122","layer":2},{"info":"compute unary expreesion, input=7122, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-54196","layer":1},{"info":"number node, value=2024","layer":4},{"info":"number node, value=1198","layer":4},{"info":"compute binary expreesion, left_input=2024, right_input=1198, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=725","layer":3},{"info":"compute unary expreesion, input=725, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=-54196, right_input=-174, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=54022","layer":0}],"base":2,"result_base":2,"text":"(↩(≮⫘↔101011100100⫸⊐≮⫘↔101000010000)≧⫂∧(≮⫘↔110110011111⫸⊐≮⫘↔11110001010))⇼⇔∾(⨞⊢(⫛⫱⨽(≮⫘↔11111101000≧⫂∧≮⫘↔10010101110)))=≮⫘↔1101001100000110","reverse_text":"≮⫘↔1101001100000110=(↩(≮⫘↔101011100100⫸⊐≮⫘↔101000010000)≧⫂∧(≮⫘↔110110011111⫸⊐≮⫘↔11110001010))⇼⇔∾(⨞⊢(⫛⫱⨽(≮⫘↔11111101000≧⫂∧≮⫘↔10010101110)))","cot":[{"info":"≮⫘↔101011100100⫸⊐≮⫘↔101000010000=≮⫘↔10011111000011","layer":3},{"info":"≮⫘↔110110011111⫸⊐≮⫘↔11110001010=≮⫘↔1110110101011","layer":3},{"info":"≮⫘↔10011111000011≧⫂∧≮⫘↔1110110101011=≮⫘↔1101111010010","layer":2},{"info":"↩≮⫘↔1101111010010=≮⫘↔-1101001110110100","layer":1},{"info":"≮⫘↔11111101000≧⫂∧≮⫘↔10010101110=≮⫘↔1011010101","layer":3},{"info":"⫛⫱⨽≮⫘↔1011010101=≮⫘↔0","layer":2},{"info":"⨞⊢≮⫘↔0=≮⫘↔-10101110","layer":1},{"info":"≮⫘↔-1101001110110100⇼⇔∾≮⫘↔-10101110=≮⫘↔1101001100000110","layer":0}]}
{"id":69,"expression_no_base_symbol":"(($1689$⋳⪒$1769$)⪛(↥$5465$))⪮%⊝($1299$∼$8477$≋⫹)⩷∴((($3884$+$9015$)⪒($1369$≣⋋))⨳⩥⨓((↽≂$1158$)↙(⩦⩻⨪$1656$)))","expression":"((≮⫘↔11010011001⋳⪒≮⫘↔11011101001)⪛(↥≮⫘↔1010101011001))⪮%⊝(≮⫘↔10100010011∼≮⫘↔10000100011101≋⫹)⩷∴(((≮⫘↔111100101100+≮⫘↔10001100110111)⪒(≮⫘↔10101011001≣⋋))⨳⩥⨓((↽≂≮⫘↔10010000110)↙(⩦⩻⨪≮⫘↔11001111000)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":855,"operation_count":14,"complexity_ratio":61.07142857142857,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1689,"base":2},"right_expr":{"type":"numeric_atoms","value":1769,"base":2}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5465,"base":2}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1299,"base":2},"right_expr":{"type":"numeric_atoms","value":8477,"base":2}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3884,"base":2},"right_expr":{"type":"numeric_atoms","value":9015,"base":2}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1369,"base":2}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1158,"base":2}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1656,"base":2}}}}},"used_operators":["9FxExcQeMw","IWmyXbctLI","uFcxV4UQCh","12rbrZMWeM","A8NUZmVepG","N41Kp7NANJ","DyGG3AbaNP","nCS4ZIUYfx","f6k1SAg4EE","W4YGzv6Whe","Tcnh7f0tEr","yyfyN0ffXY","u6S6b8DprG","2td37pGCOC"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1689","layer":4},{"info":"number node, value=1769","layer":4},{"info":"compute binary expreesion, left_input=1689, right_input=1769, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1322","layer":3},{"info":"number node, value=5465","layer":4},{"info":"compute unary expreesion, input=5465, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=8","layer":3},{"info":"compute binary expreesion, left_input=1322, right_input=8, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2","layer":2},{"info":"number node, value=1299","layer":4},{"info":"number node, value=8477","layer":4},{"info":"compute binary expreesion, left_input=1299, right_input=8477, 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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=3884","layer":4},{"info":"number node, value=9015","layer":4},{"info":"compute binary expreesion, left_input=3884, right_input=9015, op_id = W4YGzv6Whe binary_op_definition= 'None', output=12899","layer":3},{"info":"number node, value=1369","layer":4},{"info":"compute unary expreesion, input=1369, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=12899, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-12899","layer":2},{"info":"number node, value=1158","layer":4},{"info":"compute unary expreesion, input=1158, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2316","layer":3},{"info":"number node, value=1656","layer":4},{"info":"compute unary expreesion, input=1656, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1656","layer":3},{"info":"compute binary expreesion, left_input=-2316, right_input=1656, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2316","layer":2},{"info":"compute binary expreesion, left_input=-12899, right_input=-2316, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=10583","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=10583, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11010011001⋳⪒≮⫘↔11011101001)⪛(↥≮⫘↔1010101011001))⪮%⊝(≮⫘↔10100010011∼≮⫘↔10000100011101≋⫹)⩷∴(((≮⫘↔111100101100+≮⫘↔10001100110111)⪒(≮⫘↔10101011001≣⋋))⨳⩥⨓((↽≂≮⫘↔10010000110)↙(⩦⩻⨪≮⫘↔11001111000)))=NaN","reverse_text":"NaN=((≮⫘↔11010011001⋳⪒≮⫘↔11011101001)⪛(↥≮⫘↔1010101011001))⪮%⊝(≮⫘↔10100010011∼≮⫘↔10000100011101≋⫹)⩷∴(((≮⫘↔111100101100+≮⫘↔10001100110111)⪒(≮⫘↔10101011001≣⋋))⨳⩥⨓((↽≂≮⫘↔10010000110)↙(⩦⩻⨪≮⫘↔11001111000)))","cot":[{"info":"≮⫘↔11010011001⋳⪒≮⫘↔11011101001=≮⫘↔10100101010","layer":3},{"info":"↥≮⫘↔1010101011001=≮⫘↔1000","layer":3},{"info":"≮⫘↔10100101010⪛≮⫘↔1000=≮⫘↔10","layer":2},{"info":"≮⫘↔10100010011∼≮⫘↔10000100011101=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"≮⫘↔10⪮%⊝NaN=NaN","layer":1},{"info":"≮⫘↔111100101100+≮⫘↔10001100110111=≮⫘↔11001001100011","layer":3},{"info":"≮⫘↔10101011001≣⋋=≮⫘↔0","layer":3},{"info":"≮⫘↔11001001100011⪒≮⫘↔0=≮⫘↔-11001001100011","layer":2},{"info":"↽≂≮⫘↔10010000110=≮⫘↔-100100001100","layer":3},{"info":"⩦⩻⨪≮⫘↔11001111000=≮⫘↔11001111000","layer":3},{"info":"≮⫘↔-100100001100↙≮⫘↔11001111000=≮⫘↔-100100001100","layer":2},{"info":"≮⫘↔-11001001100011⨳⩥⨓≮⫘↔-100100001100=≮⫘↔10100101010111","layer":1},{"info":"NaN⩷∴≮⫘↔10100101010111=NaN","layer":0}]}
{"id":70,"expression_no_base_symbol":"(⇁⨣⪵($5323$⩷∴$4575$)∼($1003$⪄$2433$))≭($8828$+⇶⊼$1157$⩨$4208$⨳⩥⨓$1302$⩨($2323$⨐⩸⫘$3088$%(⇁⨣⪵$4555$)))","expression":"(⇁⨣⪵(≮⫘↔1010011001011⩷∴≮⫘↔1000111011111)∼(≮⫘↔1111101011⪄≮⫘↔100110000001))≭(≮⫘↔10001001111100+⇶⊼≮⫘↔10010000101⩨≮⫘↔1000001110000⨳⩥⨓≮⫘↔10100010110⩨(≮⫘↔100100010011⨐⩸⫘≮⫘↔110000010000%(⇁⨣⪵≮⫘↔1000111001011)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":148,"operation_count":12,"complexity_ratio":12.333333333333334,"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":5323,"base":2},"right_expr":{"type":"numeric_atoms","value":4575,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1003,"base":2},"right_expr":{"type":"numeric_atoms","value":2433,"base":2}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":8828,"base":2},"right_expr":{"type":"numeric_atoms","value":1157,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4208,"base":2},"right_expr":{"type":"numeric_atoms","value":1302,"base":2}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2323,"base":2},"right_expr":{"type":"numeric_atoms","value":3088,"base":2}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4555,"base":2}}}}},"used_operators":["rxpJgHHUmx","inkyxCbjAn","DyGG3AbaNP","9FxExcQeMw","SUmda5xLS4","2DlMacCsIx","TpPTUOHfaN","nCS4ZIUYfx","k8jYdgA6NY","fu6greOZ01"],"dependent_operators":["AHs5Up7iyr","B5M0gjZbta","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5323","layer":4},{"info":"number node, value=4575","layer":4},{"info":"compute binary expreesion, left_input=5323, right_input=4575, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1464","layer":3},{"info":"number node, value=1003","layer":4},{"info":"number node, value=2433","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=2433, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-154265","layer":3},{"info":"compute binary expreesion, left_input=1464, right_input=-154265, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=8828","layer":4},{"info":"number node, value=1157","layer":4},{"info":"compute binary expreesion, left_input=8828, 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=4208","layer":4},{"info":"number node, value=1302","layer":4},{"info":"compute binary expreesion, left_input=4208, right_input=1302, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2906","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2906, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=2323","layer":4},{"info":"number node, value=3088","layer":4},{"info":"compute binary expreesion, left_input=2323, right_input=3088, 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=4555","layer":4},{"info":"compute unary expreesion, input=4555, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":0}],"base":2,"result_base":2,"text":"(⇁⨣⪵(≮⫘↔1010011001011⩷∴≮⫘↔1000111011111)∼(≮⫘↔1111101011⪄≮⫘↔100110000001))≭(≮⫘↔10001001111100+⇶⊼≮⫘↔10010000101⩨≮⫘↔1000001110000⨳⩥⨓≮⫘↔10100010110⩨(≮⫘↔100100010011⨐⩸⫘≮⫘↔110000010000%(⇁⨣⪵≮⫘↔1000111001011)))=NaN","reverse_text":"NaN=(⇁⨣⪵(≮⫘↔1010011001011⩷∴≮⫘↔1000111011111)∼(≮⫘↔1111101011⪄≮⫘↔100110000001))≭(≮⫘↔10001001111100+⇶⊼≮⫘↔10010000101⩨≮⫘↔1000001110000⨳⩥⨓≮⫘↔10100010110⩨(≮⫘↔100100010011⨐⩸⫘≮⫘↔110000010000%(⇁⨣⪵≮⫘↔1000111001011)))","cot":[{"info":"≮⫘↔1010011001011⩷∴≮⫘↔1000111011111=≮⫘↔10110111000","layer":3},{"info":"≮⫘↔1111101011⪄≮⫘↔100110000001=≮⫘↔-100101101010011001","layer":3},{"info":"≮⫘↔10110111000∼≮⫘↔-100101101010011001=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"≮⫘↔10001001111100+⇶⊼≮⫘↔10010000101=NaN","layer":3},{"info":"≮⫘↔1000001110000⨳⩥⨓≮⫘↔10100010110=≮⫘↔-101101011010","layer":3},{"info":"NaN⩨≮⫘↔-101101011010=NaN","layer":2},{"info":"≮⫘↔100100010011⨐⩸⫘≮⫘↔110000010000=NaN","layer":3},{"info":"⇁⨣⪵≮⫘↔1000111001011=NaN","layer":3},{"info":"NaN%NaN=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":71,"expression_no_base_symbol":"((≤/$2277$⩷∴$1097$)∧)⪮%⊝(($1410$∼$2000$⩷∴$4625$⨪↰⇹$1566$)∑⇟⊟($1689$⫸⊐$1613$*(⪝⪂⫅$2409$)))","expression":"((≤/≮⫘↔100011100101⩷∴≮⫘↔10001001001)∧)⪮%⊝((≮⫘↔10110000010∼≮⫘↔11111010000⩷∴≮⫘↔1001000010001⨪↰⇹≮⫘↔11000011110)∑⇟⊟(≮⫘↔11010011001⫸⊐≮⫘↔11001001101*(⪝⪂⫅≮⫘↔100101101001)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11186,"operation_count":11,"complexity_ratio":1016.9090909090909,"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":2277,"base":2},"right_expr":{"type":"numeric_atoms","value":1097,"base":2}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1410,"base":2},"right_expr":{"type":"numeric_atoms","value":2000,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4625,"base":2},"right_expr":{"type":"numeric_atoms","value":1566,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1689,"base":2},"right_expr":{"type":"numeric_atoms","value":1613,"base":2}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2409,"base":2}}}}},"used_operators":["IWmyXbctLI","z63VuFQld9","eLAdDNolq6","9FxExcQeMw","U7g4x0WXJJ","DyGG3AbaNP","tmPS8pqC7x","9HNa5Wba9A","mqXw5SEYmG","XTarYq4gQB"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rJVOvQCfKK","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2277","layer":4},{"info":"number node, value=1097","layer":4},{"info":"compute binary expreesion, left_input=2277, right_input=1097, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2328","layer":3},{"info":"compute unary expreesion, input=2328, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1844","layer":2},{"info":"compute unary expreesion, input=-1844, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":1},{"info":"number node, value=1410","layer":4},{"info":"number node, value=2000","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=2000, 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=4625","layer":4},{"info":"number node, value=1566","layer":4},{"info":"compute binary expreesion, left_input=4625, right_input=1566, 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=4625","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4625, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=1689","layer":4},{"info":"number node, value=1613","layer":4},{"info":"compute binary expreesion, left_input=1689, right_input=1613, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6327","layer":3},{"info":"number node, value=2409","layer":4},{"info":"compute unary expreesion, input=2409, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-354123","layer":3},{"info":"compute binary expreesion, left_input=6327, right_input=-354123, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, 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=0, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≤/≮⫘↔100011100101⩷∴≮⫘↔10001001001)∧)⪮%⊝((≮⫘↔10110000010∼≮⫘↔11111010000⩷∴≮⫘↔1001000010001⨪↰⇹≮⫘↔11000011110)∑⇟⊟(≮⫘↔11010011001⫸⊐≮⫘↔11001001101*(⪝⪂⫅≮⫘↔100101101001)))=NaN","reverse_text":"NaN=((≤/≮⫘↔100011100101⩷∴≮⫘↔10001001001)∧)⪮%⊝((≮⫘↔10110000010∼≮⫘↔11111010000⩷∴≮⫘↔1001000010001⨪↰⇹≮⫘↔11000011110)∑⇟⊟(≮⫘↔11010011001⫸⊐≮⫘↔11001001101*(⪝⪂⫅≮⫘↔100101101001)))","cot":[{"info":"≮⫘↔100011100101⩷∴≮⫘↔10001001001=≮⫘↔100100011000","layer":3},{"info":"≤/≮⫘↔100100011000=≮⫘↔-11100110100","layer":2},{"info":"≮⫘↔-11100110100∧=≮⫘↔0","layer":1},{"info":"≮⫘↔10110000010∼≮⫘↔11111010000=NaN","layer":3},{"info":"≮⫘↔1001000010001⨪↰⇹≮⫘↔11000011110=≮⫘↔1001000010001","layer":3},{"info":"NaN⩷∴≮⫘↔1001000010001=NaN","layer":2},{"info":"≮⫘↔11010011001⫸⊐≮⫘↔11001001101=≮⫘↔1100010110111","layer":3},{"info":"⪝⪂⫅≮⫘↔100101101001=≮⫘↔-1010110011101001011","layer":3},{"info":"≮⫘↔1100010110111*≮⫘↔-1010110011101001011=-Inf","layer":2},{"info":"NaN∑⇟⊟-Inf=NaN","layer":1},{"info":"≮⫘↔0⪮%⊝NaN=NaN","layer":0}]}
{"id":72,"expression_no_base_symbol":"($1617$⊴$2727$⨸⪁($1931$*$2207$))⪘⫢(($1783$∧)∲⫓$1286$≹⇙⪍$7441$)≭(($1089$≭$1417$+$2908$⩷∴$4090$)⨳⩥⨓($1023$⩤)⋓($1865$+⇶⊼$1009$))","expression":"(≮⫘↔11001010001⊴≮⫘↔101010100111⨸⪁(≮⫘↔11110001011*≮⫘↔100010011111))⪘⫢((≮⫘↔11011110111∧)∲⫓≮⫘↔10100000110≹⇙⪍≮⫘↔1110100010001)≭((≮⫘↔10001000001≭≮⫘↔10110001001+≮⫘↔101101011100⩷∴≮⫘↔111111111010)⨳⩥⨓(≮⫘↔1111111111⩤)⋓(≮⫘↔11101001001+⇶⊼≮⫘↔1111110001))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4712,"operation_count":15,"complexity_ratio":314.1333333333333,"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":1617,"base":2},"right_expr":{"type":"numeric_atoms","value":2727,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1931,"base":2},"right_expr":{"type":"numeric_atoms","value":2207,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1783,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1286,"base":2},"right_expr":{"type":"numeric_atoms","value":7441,"base":2}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1089,"base":2},"right_expr":{"type":"numeric_atoms","value":1417,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2908,"base":2},"right_expr":{"type":"numeric_atoms","value":4090,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1023,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1865,"base":2},"right_expr":{"type":"numeric_atoms","value":1009,"base":2}}}}},"used_operators":["rxpJgHHUmx","oacrs7FA3X","g55IO6H4Gj","Nsiff2A1zJ","9HNa5Wba9A","i8ToyICDmI","z63VuFQld9","AHs5Up7iyr","nCS4ZIUYfx","W4YGzv6Whe","9FxExcQeMw","T2fj7uvVaJ","Z2TMIBDE3Q","TpPTUOHfaN"],"dependent_operators":["AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1617","layer":4},{"info":"number node, value=2727","layer":4},{"info":"compute binary expreesion, left_input=1617, right_input=2727, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1931","layer":4},{"info":"number node, value=2207","layer":4},{"info":"compute binary expreesion, left_input=1931, right_input=2207, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4261717","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4261717, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=1783","layer":4},{"info":"compute unary expreesion, input=1783, 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=1286","layer":4},{"info":"number node, value=7441","layer":4},{"info":"compute binary expreesion, left_input=1286, right_input=7441, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = 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=1089","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=1417, 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=2908","layer":4},{"info":"number node, value=4090","layer":4},{"info":"compute binary expreesion, left_input=2908, right_input=4090, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2396","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2396, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1023","layer":4},{"info":"compute unary expreesion, input=1023, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1023","layer":3},{"info":"number node, value=1865","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=1865, right_input=1009, 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=-1023, 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=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":0}],"base":2,"result_base":2,"text":"(≮⫘↔11001010001⊴≮⫘↔101010100111⨸⪁(≮⫘↔11110001011*≮⫘↔100010011111))⪘⫢((≮⫘↔11011110111∧)∲⫓≮⫘↔10100000110≹⇙⪍≮⫘↔1110100010001)≭((≮⫘↔10001000001≭≮⫘↔10110001001+≮⫘↔101101011100⩷∴≮⫘↔111111111010)⨳⩥⨓(≮⫘↔1111111111⩤)⋓(≮⫘↔11101001001+⇶⊼≮⫘↔1111110001))=NaN","reverse_text":"NaN=(≮⫘↔11001010001⊴≮⫘↔101010100111⨸⪁(≮⫘↔11110001011*≮⫘↔100010011111))⪘⫢((≮⫘↔11011110111∧)∲⫓≮⫘↔10100000110≹⇙⪍≮⫘↔1110100010001)≭((≮⫘↔10001000001≭≮⫘↔10110001001+≮⫘↔101101011100⩷∴≮⫘↔111111111010)⨳⩥⨓(≮⫘↔1111111111⩤)⋓(≮⫘↔11101001001+⇶⊼≮⫘↔1111110001))","cot":[{"info":"≮⫘↔11001010001⊴≮⫘↔101010100111=NaN","layer":3},{"info":"≮⫘↔11110001011*≮⫘↔100010011111=≮⫘↔10000010000011101010101","layer":3},{"info":"NaN⨸⪁≮⫘↔10000010000011101010101=NaN","layer":2},{"info":"≮⫘↔11011110111∧=NaN","layer":3},{"info":"≮⫘↔10100000110≹⇙⪍≮⫘↔1110100010001=NaN","layer":3},{"info":"NaN∲⫓NaN=NaN","layer":2},{"info":"NaN⪘⫢NaN=NaN","layer":1},{"info":"≮⫘↔10001000001≭≮⫘↔10110001001=NaN","layer":3},{"info":"≮⫘↔101101011100⩷∴≮⫘↔111111111010=≮⫘↔-100101011100","layer":3},{"info":"NaN+≮⫘↔-100101011100=NaN","layer":2},{"info":"≮⫘↔1111111111⩤=≮⫘↔-1111111111","layer":3},{"info":"≮⫘↔11101001001+⇶⊼≮⫘↔1111110001=NaN","layer":3},{"info":"≮⫘↔-1111111111⋓NaN=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":73,"expression_no_base_symbol":"⨰⫟⨤(($7077$⋷$2360$)⨟⋌⩍($7648$+$6569$)↙(⪝⪂⫅$6933$)⩷∴$5200$≹⇙⪍$2009$)","expression":"⨰⫟⨤((≮⫘↔1101110100101⋷≮⫘↔100100111000)⨟⋌⩍(≮⫘↔1110111100000+≮⫘↔1100110101001)↙(⪝⪂⫅≮⫘↔1101100010101)⩷∴≮⫘↔1010001010000≹⇙⪍≮⫘↔11111011001)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":192,"operation_count":8,"complexity_ratio":24.0,"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":7077,"base":2},"right_expr":{"type":"numeric_atoms","value":2360,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7648,"base":2},"right_expr":{"type":"numeric_atoms","value":6569,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6933,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5200,"base":2},"right_expr":{"type":"numeric_atoms","value":2009,"base":2}}}}},"used_operators":["Tw270M8GLb","yyfyN0ffXY","rGHVDoGpnC","23Mk6UjR3U","W4YGzv6Whe","9FxExcQeMw","XTarYq4gQB","AHs5Up7iyr"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","tmPS8pqC7x","DpFCA1CohY","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7077","layer":4},{"info":"number node, value=2360","layer":4},{"info":"compute binary expreesion, left_input=7077, right_input=2360, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2357","layer":3},{"info":"number node, value=7648","layer":4},{"info":"number node, value=6569","layer":4},{"info":"compute binary expreesion, left_input=7648, right_input=6569, op_id = W4YGzv6Whe binary_op_definition= 'None', output=14217","layer":3},{"info":"compute binary expreesion, left_input=-2357, right_input=14217, 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=6933","layer":4},{"info":"compute unary expreesion, input=6933, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1019151","layer":3},{"info":"number node, value=5200","layer":4},{"info":"number node, value=2009","layer":4},{"info":"compute binary expreesion, left_input=5200, right_input=2009, 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=-1019151, 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=nan, right_input=nan, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⨰⫟⨤((≮⫘↔1101110100101⋷≮⫘↔100100111000)⨟⋌⩍(≮⫘↔1110111100000+≮⫘↔1100110101001)↙(⪝⪂⫅≮⫘↔1101100010101)⩷∴≮⫘↔1010001010000≹⇙⪍≮⫘↔11111011001)=NaN","reverse_text":"NaN=⨰⫟⨤((≮⫘↔1101110100101⋷≮⫘↔100100111000)⨟⋌⩍(≮⫘↔1110111100000+≮⫘↔1100110101001)↙(⪝⪂⫅≮⫘↔1101100010101)⩷∴≮⫘↔1010001010000≹⇙⪍≮⫘↔11111011001)","cot":[{"info":"≮⫘↔1101110100101⋷≮⫘↔100100111000=≮⫘↔-100100110101","layer":3},{"info":"≮⫘↔1110111100000+≮⫘↔1100110101001=≮⫘↔11011110001001","layer":3},{"info":"≮⫘↔-100100110101⨟⋌⩍≮⫘↔11011110001001=NaN","layer":2},{"info":"⪝⪂⫅≮⫘↔1101100010101=≮⫘↔-11111000110100001111","layer":3},{"info":"≮⫘↔1010001010000≹⇙⪍≮⫘↔11111011001=NaN","layer":3},{"info":"≮⫘↔-11111000110100001111⩷∴NaN=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":74,"expression_no_base_symbol":"↩(((≉$3163$)⩤)⪠⩆⊳)","expression":"↩(((≉≮⫘↔110001011011)⩤)⪠⩆⊳)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28,"operation_count":4,"complexity_ratio":7.0,"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":3163,"base":2}}}}},"used_operators":["jLgFTUHLKL","JLbD19bQDL","Z2TMIBDE3Q","e1ybzncUwg"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔1001011101100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3163","layer":4},{"info":"compute unary expreesion, input=3163, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3694","layer":3},{"info":"compute unary expreesion, input=3694, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3694","layer":2},{"info":"compute unary expreesion, input=-3694, 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":"compute unary expreesion, input=0, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":0}],"base":2,"result_base":2,"text":"↩(((≉≮⫘↔110001011011)⩤)⪠⩆⊳)=≮⫘↔1001011101100","reverse_text":"≮⫘↔1001011101100=↩(((≉≮⫘↔110001011011)⩤)⪠⩆⊳)","cot":[{"info":"≉≮⫘↔110001011011=≮⫘↔111001101110","layer":3},{"info":"≮⫘↔111001101110⩤=≮⫘↔-111001101110","layer":2},{"info":"≮⫘↔-111001101110⪠⩆⊳=≮⫘↔0","layer":1},{"info":"↩≮⫘↔0=≮⫘↔1001011101100","layer":0}]}
{"id":75,"expression_no_base_symbol":"($1545$↺$3858$⨵⪆$1348$⇼⇔∾$1333$)⨪↰⇹($3144$⋥≓≎$1031$/($4996$⨵⪆$1344$))⩚⊴⇥($2035$↺$1668$⪄($5332$⊉≛↸$3525$)∲⫓(∂(↣≠⋷$6753$)))","expression":"(≮⫘↔11000001001↺≮⫘↔111100010010⨵⪆≮⫘↔10101000100⇼⇔∾≮⫘↔10100110101)⨪↰⇹(≮⫘↔110001001000⋥≓≎≮⫘↔10000000111/(≮⫘↔1001110000100⨵⪆≮⫘↔10101000000))⩚⊴⇥(≮⫘↔11111110011↺≮⫘↔11010000100⪄(≮⫘↔1010011010100⊉≛↸≮⫘↔110111000101)∲⫓(∂(↣≠⋷≮⫘↔1101001100001)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":284,"operation_count":14,"complexity_ratio":20.285714285714285,"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":1545,"base":2},"right_expr":{"type":"numeric_atoms","value":3858,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1348,"base":2},"right_expr":{"type":"numeric_atoms","value":1333,"base":2}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3144,"base":2},"right_expr":{"type":"numeric_atoms","value":1031,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4996,"base":2},"right_expr":{"type":"numeric_atoms","value":1344,"base":2}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2035,"base":2},"right_expr":{"type":"numeric_atoms","value":1668,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5332,"base":2},"right_expr":{"type":"numeric_atoms","value":3525,"base":2}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":6753,"base":2}}}}},"used_operators":["NTOWxs364D","tmPS8pqC7x","2DQ55sFlQl","7j4O788W3g","tifHPKVTfV","XhwjNDsVaA","Qy55tPpLXF","i8ToyICDmI","SUmda5xLS4","DZ8iAZOCBD","Uaa54Peajs","Asc51vEJeQ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1545","layer":4},{"info":"number node, value=3858","layer":4},{"info":"compute binary expreesion, left_input=1545, right_input=3858, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3858","layer":3},{"info":"number node, value=1348","layer":4},{"info":"number node, value=1333","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=1333, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-15","layer":3},{"info":"compute binary expreesion, left_input=3858, right_input=-15, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=3144","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=3144, right_input=1031, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1049","layer":3},{"info":"number node, value=4996","layer":4},{"info":"number node, value=1344","layer":4},{"info":"compute binary expreesion, left_input=4996, right_input=1344, 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=-1049, right_input=160, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-7","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-7, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=160","layer":1},{"info":"number node, value=2035","layer":4},{"info":"number node, value=1668","layer":4},{"info":"compute binary expreesion, left_input=2035, right_input=1668, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1668","layer":3},{"info":"number node, value=5332","layer":4},{"info":"number node, value=3525","layer":4},{"info":"compute binary expreesion, left_input=5332, right_input=3525, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10664","layer":3},{"info":"compute binary expreesion, left_input=1668, right_input=10664, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-285609","layer":2},{"info":"number node, value=6753","layer":4},{"info":"compute unary expreesion, input=6753, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(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=-285609, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11000001001↺≮⫘↔111100010010⨵⪆≮⫘↔10101000100⇼⇔∾≮⫘↔10100110101)⨪↰⇹(≮⫘↔110001001000⋥≓≎≮⫘↔10000000111/(≮⫘↔1001110000100⨵⪆≮⫘↔10101000000))⩚⊴⇥(≮⫘↔11111110011↺≮⫘↔11010000100⪄(≮⫘↔1010011010100⊉≛↸≮⫘↔110111000101)∲⫓(∂(↣≠⋷≮⫘↔1101001100001)))=NaN","reverse_text":"NaN=(≮⫘↔11000001001↺≮⫘↔111100010010⨵⪆≮⫘↔10101000100⇼⇔∾≮⫘↔10100110101)⨪↰⇹(≮⫘↔110001001000⋥≓≎≮⫘↔10000000111/(≮⫘↔1001110000100⨵⪆≮⫘↔10101000000))⩚⊴⇥(≮⫘↔11111110011↺≮⫘↔11010000100⪄(≮⫘↔1010011010100⊉≛↸≮⫘↔110111000101)∲⫓(∂(↣≠⋷≮⫘↔1101001100001)))","cot":[{"info":"≮⫘↔11000001001↺≮⫘↔111100010010=≮⫘↔111100010010","layer":3},{"info":"≮⫘↔10101000100⇼⇔∾≮⫘↔10100110101=≮⫘↔-1111","layer":3},{"info":"≮⫘↔111100010010⨵⪆≮⫘↔-1111=≮⫘↔10100000","layer":2},{"info":"≮⫘↔110001001000⋥≓≎≮⫘↔10000000111=≮⫘↔-10000011001","layer":3},{"info":"≮⫘↔1001110000100⨵⪆≮⫘↔10101000000=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-10000011001/≮⫘↔10100000=≮⫘↔-111","layer":2},{"info":"≮⫘↔10100000⨪↰⇹≮⫘↔-111=≮⫘↔10100000","layer":1},{"info":"≮⫘↔11111110011↺≮⫘↔11010000100=≮⫘↔11010000100","layer":3},{"info":"≮⫘↔1010011010100⊉≛↸≮⫘↔110111000101=≮⫘↔10100110101000","layer":3},{"info":"≮⫘↔11010000100⪄≮⫘↔10100110101000=≮⫘↔-1000101101110101001","layer":2},{"info":"↣≠⋷≮⫘↔1101001100001=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"≮⫘↔-1000101101110101001∲⫓NaN=NaN","layer":1},{"info":"≮⫘↔10100000⩚⊴⇥NaN=NaN","layer":0}]}
{"id":76,"expression_no_base_symbol":"(($2104$⪄$2934$+$1166$-$1664$)≋⫹)⇼⇔∾(↯⪼($2904$⪢$4466$/($1271$⫡⨏$1909$)))","expression":"((≮⫘↔100000111000⪄≮⫘↔101101110110+≮⫘↔10010001110-≮⫘↔11010000000)≋⫹)⇼⇔∾(↯⪼(≮⫘↔101101011000⪢≮⫘↔1000101110010/(≮⫘↔10011110111⫡⨏≮⫘↔11101110101)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4607,"operation_count":9,"complexity_ratio":511.8888888888889,"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":2104,"base":2},"right_expr":{"type":"numeric_atoms","value":2934,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1166,"base":2},"right_expr":{"type":"numeric_atoms","value":1664,"base":2}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2904,"base":2},"right_expr":{"type":"numeric_atoms","value":4466,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1271,"base":2},"right_expr":{"type":"numeric_atoms","value":1909,"base":2}}}}},"used_operators":["tifHPKVTfV","N41Kp7NANJ","W4YGzv6Whe","SUmda5xLS4","rysDP5nf3Z","8jW3W4yZS5","XhwjNDsVaA","dWAJyo7jo9","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-10011100000111011011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2104","layer":4},{"info":"number node, value=2934","layer":4},{"info":"compute binary expreesion, left_input=2104, right_input=2934, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-319217","layer":3},{"info":"number node, value=1166","layer":4},{"info":"number node, value=1664","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=1664, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-498","layer":3},{"info":"compute binary expreesion, left_input=-319217, right_input=-498, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-319715","layer":2},{"info":"compute unary expreesion, input=-319715, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=639430","layer":1},{"info":"number node, value=2904","layer":4},{"info":"number node, value=4466","layer":4},{"info":"compute binary expreesion, left_input=2904, right_input=4466, 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=1271","layer":4},{"info":"number node, value=1909","layer":4},{"info":"compute binary expreesion, left_input=1271, right_input=1909, 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=10956","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10956, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=639430, right_input=-21, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-639451","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100000111000⪄≮⫘↔101101110110+≮⫘↔10010001110-≮⫘↔11010000000)≋⫹)⇼⇔∾(↯⪼(≮⫘↔101101011000⪢≮⫘↔1000101110010/(≮⫘↔10011110111⫡⨏≮⫘↔11101110101)))=≮⫘↔-10011100000111011011","reverse_text":"≮⫘↔-10011100000111011011=((≮⫘↔100000111000⪄≮⫘↔101101110110+≮⫘↔10010001110-≮⫘↔11010000000)≋⫹)⇼⇔∾(↯⪼(≮⫘↔101101011000⪢≮⫘↔1000101110010/(≮⫘↔10011110111⫡⨏≮⫘↔11101110101)))","cot":[{"info":"≮⫘↔100000111000⪄≮⫘↔101101110110=≮⫘↔-1001101111011110001","layer":3},{"info":"≮⫘↔10010001110-≮⫘↔11010000000=≮⫘↔-111110010","layer":3},{"info":"≮⫘↔-1001101111011110001+≮⫘↔-111110010=≮⫘↔-1001110000011100011","layer":2},{"info":"≮⫘↔-1001110000011100011≋⫹=≮⫘↔10011100000111000110","layer":1},{"info":"≮⫘↔101101011000⪢≮⫘↔1000101110010=NaN","layer":3},{"info":"≮⫘↔10011110111⫡⨏≮⫘↔11101110101=≮⫘↔10101011001100","layer":3},{"info":"NaN/≮⫘↔10101011001100=NaN","layer":2},{"info":"↯⪼NaN=≮⫘↔-10101","layer":1},{"info":"≮⫘↔10011100000111000110⇼⇔∾≮⫘↔-10101=≮⫘↔-10011100000111011011","layer":0}]}
{"id":77,"expression_no_base_symbol":"(($1652$⨐⩸⫘$3644$)⩚⊴⇥(⨈⫕$3690$)≎⊠⪸($2113$⨽$3698$)≹⇙⪍(≦∁$8981$))⨰(($7346$⪨≂$1052$)⪒(⫓⪴$1113$))⨟⋌⩍($1013$⊉≛↸$8164$⨵⪆$1119$↙$1226$)","expression":"((≮⫘↔11001110100⨐⩸⫘≮⫘↔111000111100)⩚⊴⇥(⨈⫕≮⫘↔111001101010)≎⊠⪸(≮⫘↔100001000001⨽≮⫘↔111001110010)≹⇙⪍(≦∁≮⫘↔10001100010101))⨰((≮⫘↔1110010110010⪨≂≮⫘↔10000011100)⪒(⫓⪴≮⫘↔10001011001))⨟⋌⩍(≮⫘↔1111110101⊉≛↸≮⫘↔1111111100100⨵⪆≮⫘↔10001011111↙≮⫘↔10011001010)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6034,"operation_count":15,"complexity_ratio":402.26666666666665,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1652,"base":2},"right_expr":{"type":"numeric_atoms","value":3644,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3690,"base":2}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2113,"base":2},"right_expr":{"type":"numeric_atoms","value":3698,"base":2}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":8981,"base":2}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7346,"base":2},"right_expr":{"type":"numeric_atoms","value":1052,"base":2}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1113,"base":2}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1013,"base":2},"right_expr":{"type":"numeric_atoms","value":8164,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1119,"base":2},"right_expr":{"type":"numeric_atoms","value":1226,"base":2}}}}},"used_operators":["eewbuw0ToL","bJkvcejdHO","NTOWxs364D","fu6greOZ01","megm06wKyl","AHs5Up7iyr","8HhzD0ZcuI","9ICcGScMcE","rGHVDoGpnC","f6k1SAg4EE","sdazOOVcIp","eLxqMNBOBk","2DQ55sFlQl","DZ8iAZOCBD","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"≮⫘↔1001101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1652","layer":4},{"info":"number node, value=3644","layer":4},{"info":"compute binary expreesion, left_input=1652, right_input=3644, 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=3690","layer":4},{"info":"compute unary expreesion, input=3690, 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=nan, right_input=-21, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=2113","layer":4},{"info":"number node, value=3698","layer":4},{"info":"compute binary expreesion, left_input=2113, right_input=3698, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-13404087","layer":3},{"info":"number node, value=8981","layer":4},{"info":"compute unary expreesion, input=8981, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=8981","layer":3},{"info":"compute binary expreesion, left_input=-13404087, right_input=8981, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=7346","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=7346, right_input=1052, 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=12690","layer":3},{"info":"number node, value=1113","layer":4},{"info":"compute unary expreesion, input=1113, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1238769","layer":3},{"info":"compute binary expreesion, left_input=12690, right_input=1238769, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1251459","layer":2},{"info":"number node, value=1013","layer":4},{"info":"number node, value=8164","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=8164, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2026","layer":3},{"info":"number node, value=1119","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=1226, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3678","layer":3},{"info":"compute binary expreesion, left_input=2026, right_input=-3678, 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=-1251459, 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":1},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=77","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11001110100⨐⩸⫘≮⫘↔111000111100)⩚⊴⇥(⨈⫕≮⫘↔111001101010)≎⊠⪸(≮⫘↔100001000001⨽≮⫘↔111001110010)≹⇙⪍(≦∁≮⫘↔10001100010101))⨰((≮⫘↔1110010110010⪨≂≮⫘↔10000011100)⪒(⫓⪴≮⫘↔10001011001))⨟⋌⩍(≮⫘↔1111110101⊉≛↸≮⫘↔1111111100100⨵⪆≮⫘↔10001011111↙≮⫘↔10011001010)=≮⫘↔1001101","reverse_text":"≮⫘↔1001101=((≮⫘↔11001110100⨐⩸⫘≮⫘↔111000111100)⩚⊴⇥(⨈⫕≮⫘↔111001101010)≎⊠⪸(≮⫘↔100001000001⨽≮⫘↔111001110010)≹⇙⪍(≦∁≮⫘↔10001100010101))⨰((≮⫘↔1110010110010⪨≂≮⫘↔10000011100)⪒(⫓⪴≮⫘↔10001011001))⨟⋌⩍(≮⫘↔1111110101⊉≛↸≮⫘↔1111111100100⨵⪆≮⫘↔10001011111↙≮⫘↔10011001010)","cot":[{"info":"≮⫘↔11001110100⨐⩸⫘≮⫘↔111000111100=NaN","layer":3},{"info":"⨈⫕≮⫘↔111001101010=≮⫘↔-10101","layer":3},{"info":"NaN⩚⊴⇥≮⫘↔-10101=NaN","layer":2},{"info":"≮⫘↔100001000001⨽≮⫘↔111001110010=≮⫘↔-110011001000011110110111","layer":3},{"info":"≦∁≮⫘↔10001100010101=≮⫘↔10001100010101","layer":3},{"info":"≮⫘↔-110011001000011110110111≹⇙⪍≮⫘↔10001100010101=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=≮⫘↔1000011","layer":1},{"info":"≮⫘↔1110010110010⪨≂≮⫘↔10000011100=≮⫘↔11000110010010","layer":3},{"info":"⫓⪴≮⫘↔10001011001=≮⫘↔100101110011011110001","layer":3},{"info":"≮⫘↔11000110010010⪒≮⫘↔100101110011011110001=≮⫘↔-100110001100010000011","layer":2},{"info":"≮⫘↔1111110101⊉≛↸≮⫘↔1111111100100=≮⫘↔11111101010","layer":3},{"info":"≮⫘↔10001011111↙≮⫘↔10011001010=≮⫘↔-111001011110","layer":3},{"info":"≮⫘↔11111101010⨵⪆≮⫘↔-111001011110=≮⫘↔10100000","layer":2},{"info":"≮⫘↔-100110001100010000011⨟⋌⩍≮⫘↔10100000=≮⫘↔0","layer":1},{"info":"≮⫘↔1000011⨰≮⫘↔0=≮⫘↔1001101","layer":0}]}
{"id":78,"expression_no_base_symbol":"(⫛⫱⨽(⨰⫟⨤$2781$))⨟⋌⩍(($4847$-$5340$)⩚⊴⇥($1429$⊉≛↸$4201$))↺(($1005$⨐⩸⫘$5749$)≧⫂∧($1032$⨸⪁$1426$)⪒($2378$⪨≂$3088$)⨎(⪝⪂⫅$6743$))","expression":"(⫛⫱⨽(⨰⫟⨤≮⫘↔101011011101))⨟⋌⩍((≮⫘↔1001011101111-≮⫘↔1010011011100)⩚⊴⇥(≮⫘↔10110010101⊉≛↸≮⫘↔1000001101001))↺((≮⫘↔1111101101⨐⩸⫘≮⫘↔1011001110101)≧⫂∧(≮⫘↔10000001000⨸⪁≮⫘↔10110010010)⪒(≮⫘↔100101001010⪨≂≮⫘↔110000010000)⨎(⪝⪂⫅≮⫘↔1101001010111))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":11369,"operation_count":14,"complexity_ratio":812.0714285714286,"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":2781,"base":2}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4847,"base":2},"right_expr":{"type":"numeric_atoms","value":5340,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1429,"base":2},"right_expr":{"type":"numeric_atoms","value":4201,"base":2}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1005,"base":2},"right_expr":{"type":"numeric_atoms","value":5749,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1032,"base":2},"right_expr":{"type":"numeric_atoms","value":1426,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2378,"base":2},"right_expr":{"type":"numeric_atoms","value":3088,"base":2}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6743,"base":2}}}}},"used_operators":["7j4O788W3g","rGHVDoGpnC","DlLNRPXxWL","Tw270M8GLb","NTOWxs364D","rysDP5nf3Z","DZ8iAZOCBD","f6k1SAg4EE","Ph9nP6C5qx","fu6greOZ01","g55IO6H4Gj","rJVOvQCfKK","sdazOOVcIp","XTarYq4gQB"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rGHVDoGpnC","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"≮⫘↔11110000111010011010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2781","layer":4},{"info":"compute unary expreesion, input=2781, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒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=4847","layer":4},{"info":"number node, value=5340","layer":4},{"info":"compute binary expreesion, left_input=4847, right_input=5340, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-493","layer":3},{"info":"number node, value=1429","layer":4},{"info":"number node, value=4201","layer":4},{"info":"compute binary expreesion, left_input=1429, right_input=4201, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2858","layer":3},{"info":"compute binary expreesion, left_input=-493, right_input=2858, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2486","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2486, 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=1005","layer":4},{"info":"number node, value=5749","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=5749, 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=1032","layer":4},{"info":"number node, value=1426","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=1426, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4916","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4916, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4443","layer":2},{"info":"number node, value=2378","layer":4},{"info":"number node, value=3088","layer":4},{"info":"compute binary expreesion, left_input=2378, right_input=3088, 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=-1318","layer":3},{"info":"number node, value=6743","layer":4},{"info":"compute unary expreesion, input=6743, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-991221","layer":3},{"info":"compute binary expreesion, left_input=-1318, right_input=-991221, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-991221","layer":2},{"info":"compute binary expreesion, left_input=4443, right_input=-991221, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=986778","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=986778, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=986778","layer":0}],"base":2,"result_base":2,"text":"(⫛⫱⨽(⨰⫟⨤≮⫘↔101011011101))⨟⋌⩍((≮⫘↔1001011101111-≮⫘↔1010011011100)⩚⊴⇥(≮⫘↔10110010101⊉≛↸≮⫘↔1000001101001))↺((≮⫘↔1111101101⨐⩸⫘≮⫘↔1011001110101)≧⫂∧(≮⫘↔10000001000⨸⪁≮⫘↔10110010010)⪒(≮⫘↔100101001010⪨≂≮⫘↔110000010000)⨎(⪝⪂⫅≮⫘↔1101001010111))=≮⫘↔11110000111010011010","reverse_text":"≮⫘↔11110000111010011010=(⫛⫱⨽(⨰⫟⨤≮⫘↔101011011101))⨟⋌⩍((≮⫘↔1001011101111-≮⫘↔1010011011100)⩚⊴⇥(≮⫘↔10110010101⊉≛↸≮⫘↔1000001101001))↺((≮⫘↔1111101101⨐⩸⫘≮⫘↔1011001110101)≧⫂∧(≮⫘↔10000001000⨸⪁≮⫘↔10110010010)⪒(≮⫘↔100101001010⪨≂≮⫘↔110000010000)⨎(⪝⪂⫅≮⫘↔1101001010111))","cot":[{"info":"⨰⫟⨤≮⫘↔101011011101=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"≮⫘↔1001011101111-≮⫘↔1010011011100=≮⫘↔-111101101","layer":3},{"info":"≮⫘↔10110010101⊉≛↸≮⫘↔1000001101001=≮⫘↔101100101010","layer":3},{"info":"≮⫘↔-111101101⩚⊴⇥≮⫘↔101100101010=≮⫘↔-100110110110","layer":2},{"info":"NaN⨟⋌⩍≮⫘↔-100110110110=NaN","layer":1},{"info":"≮⫘↔1111101101⨐⩸⫘≮⫘↔1011001110101=NaN","layer":3},{"info":"≮⫘↔10000001000⨸⪁≮⫘↔10110010010=≮⫘↔1001100110100","layer":3},{"info":"NaN≧⫂∧≮⫘↔1001100110100=≮⫘↔1000101011011","layer":2},{"info":"≮⫘↔100101001010⪨≂≮⫘↔110000010000=≮⫘↔-10100100110","layer":3},{"info":"⪝⪂⫅≮⫘↔1101001010111=≮⫘↔-11110001111111110101","layer":3},{"info":"≮⫘↔-10100100110⨎≮⫘↔-11110001111111110101=≮⫘↔-11110001111111110101","layer":2},{"info":"≮⫘↔1000101011011⪒≮⫘↔-11110001111111110101=≮⫘↔11110000111010011010","layer":1},{"info":"NaN↺≮⫘↔11110000111010011010=≮⫘↔11110000111010011010","layer":0}]}
{"id":79,"expression_no_base_symbol":"(($2672$∲⫓$1095$)↺$1288$≭$5558$)+⇶⊼($3263$⋝⋈⪟$1081$⨐⩸⫘($2879$⨵⪆$3142$))⨸⪁((⊄⩳↩$1868$⪮%⊝$1354$)-($2245$+$1584$)⋓(≤/$2189$))","expression":"((≮⫘↔101001110000∲⫓≮⫘↔10001000111)↺≮⫘↔10100001000≭≮⫘↔1010110110110)+⇶⊼(≮⫘↔110010111111⋝⋈⪟≮⫘↔10000111001⨐⩸⫘(≮⫘↔101100111111⨵⪆≮⫘↔110001000110))⨸⪁((⊄⩳↩≮⫘↔11101001100⪮%⊝≮⫘↔10101001010)-(≮⫘↔100011000101+≮⫘↔11000110000)⋓(≤/≮⫘↔100010001101))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":26601,"operation_count":14,"complexity_ratio":1900.0714285714287,"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":2672,"base":2},"right_expr":{"type":"numeric_atoms","value":1095,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1288,"base":2},"right_expr":{"type":"numeric_atoms","value":5558,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3263,"base":2},"right_expr":{"type":"numeric_atoms","value":1081,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2879,"base":2},"right_expr":{"type":"numeric_atoms","value":3142,"base":2}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1868,"base":2},"right_expr":{"type":"numeric_atoms","value":1354,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2245,"base":2},"right_expr":{"type":"numeric_atoms","value":1584,"base":2}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2189,"base":2}}}}},"used_operators":["g55IO6H4Gj","TpPTUOHfaN","7j4O788W3g","i8ToyICDmI","rxpJgHHUmx","fu6greOZ01","2DDjHMKMc0","2DQ55sFlQl","rysDP5nf3Z","8w2t5hMYqp","IWmyXbctLI","T2fj7uvVaJ","W4YGzv6Whe","eLAdDNolq6"],"dependent_operators":["W4YGzv6Whe","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2672","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=2672, right_input=1095, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1288","layer":4},{"info":"number node, value=5558","layer":4},{"info":"compute binary expreesion, left_input=1288, right_input=5558, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"number node, value=3263","layer":4},{"info":"number node, value=1081","layer":4},{"info":"compute binary expreesion, left_input=3263, right_input=1081, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3263","layer":3},{"info":"number node, value=2879","layer":4},{"info":"number node, value=3142","layer":4},{"info":"compute binary expreesion, left_input=2879, right_input=3142, 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=3263, right_input=160, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-163","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-163, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=1868","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=1868, right_input=1354, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4052","layer":3},{"info":"compute unary expreesion, input=4052, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-12156","layer":2},{"info":"number node, value=2245","layer":4},{"info":"number node, value=1584","layer":4},{"info":"compute binary expreesion, left_input=2245, right_input=1584, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3829","layer":3},{"info":"number node, value=2189","layer":4},{"info":"compute unary expreesion, input=2189, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1705","layer":3},{"info":"compute binary expreesion, left_input=3829, right_input=-1705, 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=-12156, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-12156","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-12156, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101001110000∲⫓≮⫘↔10001000111)↺≮⫘↔10100001000≭≮⫘↔1010110110110)+⇶⊼(≮⫘↔110010111111⋝⋈⪟≮⫘↔10000111001⨐⩸⫘(≮⫘↔101100111111⨵⪆≮⫘↔110001000110))⨸⪁((⊄⩳↩≮⫘↔11101001100⪮%⊝≮⫘↔10101001010)-(≮⫘↔100011000101+≮⫘↔11000110000)⋓(≤/≮⫘↔100010001101))=NaN","reverse_text":"NaN=((≮⫘↔101001110000∲⫓≮⫘↔10001000111)↺≮⫘↔10100001000≭≮⫘↔1010110110110)+⇶⊼(≮⫘↔110010111111⋝⋈⪟≮⫘↔10000111001⨐⩸⫘(≮⫘↔101100111111⨵⪆≮⫘↔110001000110))⨸⪁((⊄⩳↩≮⫘↔11101001100⪮%⊝≮⫘↔10101001010)-(≮⫘↔100011000101+≮⫘↔11000110000)⋓(≤/≮⫘↔100010001101))","cot":[{"info":"≮⫘↔101001110000∲⫓≮⫘↔10001000111=≮⫘↔0","layer":3},{"info":"≮⫘↔10100001000≭≮⫘↔1010110110110=NaN","layer":3},{"info":"≮⫘↔0↺NaN=NaN","layer":2},{"info":"≮⫘↔110010111111⋝⋈⪟≮⫘↔10000111001=≮⫘↔110010111111","layer":3},{"info":"≮⫘↔101100111111⨵⪆≮⫘↔110001000110=≮⫘↔10100000","layer":3},{"info":"≮⫘↔110010111111⨐⩸⫘≮⫘↔10100000=≮⫘↔-10100011","layer":2},{"info":"NaN+⇶⊼≮⫘↔-10100011=NaN","layer":1},{"info":"≮⫘↔11101001100⪮%⊝≮⫘↔10101001010=≮⫘↔111111010100","layer":3},{"info":"⊄⩳↩≮⫘↔111111010100=≮⫘↔-10111101111100","layer":2},{"info":"≮⫘↔100011000101+≮⫘↔11000110000=≮⫘↔111011110101","layer":3},{"info":"≤/≮⫘↔100010001101=≮⫘↔-11010101001","layer":3},{"info":"≮⫘↔111011110101⋓≮⫘↔-11010101001=≮⫘↔0","layer":2},{"info":"≮⫘↔-10111101111100-≮⫘↔0=≮⫘↔-10111101111100","layer":1},{"info":"NaN⨸⪁≮⫘↔-10111101111100=NaN","layer":0}]}
{"id":80,"expression_no_base_symbol":"(($5974$⨸⪁$1071$)⋓(↔$1323$)*($1416$⩠)⨽$1724$⨪↰⇹$1088$)⊠≄⫣","expression":"((≮⫘↔1011101010110⨸⪁≮⫘↔10000101111)⋓(↔≮⫘↔10100101011)*(≮⫘↔10110001000⩠)⨽≮⫘↔11010111100⨪↰⇹≮⫘↔10001000000)⊠≄⫣","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1779,"operation_count":8,"complexity_ratio":222.375,"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":5974,"base":2},"right_expr":{"type":"numeric_atoms","value":1071,"base":2}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1323,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1416,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1724,"base":2},"right_expr":{"type":"numeric_atoms","value":1088,"base":2}}}}},"used_operators":["DIvbN7qnHd","9HNa5Wba9A","T2fj7uvVaJ","g55IO6H4Gj","ruOEQAzv1W","8HhzD0ZcuI","sJAwomhLZr","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rJVOvQCfKK"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5974","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=5974, right_input=1071, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14090","layer":3},{"info":"number node, value=1323","layer":4},{"info":"compute unary expreesion, input=1323, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1050","layer":3},{"info":"compute binary expreesion, left_input=14090, right_input=-1050, 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=1416","layer":4},{"info":"compute unary expreesion, input=1416, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1724","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=1724, right_input=1088, 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=1724","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1724, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3858","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-3858, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1011101010110⨸⪁≮⫘↔10000101111)⋓(↔≮⫘↔10100101011)*(≮⫘↔10110001000⩠)⨽≮⫘↔11010111100⨪↰⇹≮⫘↔10001000000)⊠≄⫣=≮⫘↔0","reverse_text":"≮⫘↔0=((≮⫘↔1011101010110⨸⪁≮⫘↔10000101111)⋓(↔≮⫘↔10100101011)*(≮⫘↔10110001000⩠)⨽≮⫘↔11010111100⨪↰⇹≮⫘↔10001000000)⊠≄⫣","cot":[{"info":"≮⫘↔1011101010110⨸⪁≮⫘↔10000101111=≮⫘↔11011100001010","layer":3},{"info":"↔≮⫘↔10100101011=≮⫘↔-10000011010","layer":3},{"info":"≮⫘↔11011100001010⋓≮⫘↔-10000011010=≮⫘↔0","layer":2},{"info":"≮⫘↔10110001000⩠=≮⫘↔0","layer":3},{"info":"≮⫘↔11010111100⨪↰⇹≮⫘↔10001000000=≮⫘↔11010111100","layer":3},{"info":"≮⫘↔0⨽≮⫘↔11010111100=≮⫘↔-111100010010","layer":2},{"info":"≮⫘↔0*≮⫘↔-111100010010=≮⫘↔0","layer":1},{"info":"≮⫘↔0⊠≄⫣=≮⫘↔0","layer":0}]}
{"id":81,"expression_no_base_symbol":"((($1401$⨪↰⇹$2748$)⩠)⇼⇔∾$3157$∀⇚≩$3716$⋝⋈⪟($1134$%$2785$))⇷(($1659$⨐⩸⫘$2841$)⋓($6535$⪨≂$2445$)⇼⇔∾(↩$7473$)⨓($1815$⪨≂$2199$))","expression":"(((≮⫘↔10101111001⨪↰⇹≮⫘↔101010111100)⩠)⇼⇔∾≮⫘↔110001010101∀⇚≩≮⫘↔111010000100⋝⋈⪟(≮⫘↔10001101110%≮⫘↔101011100001))⇷((≮⫘↔11001111011⨐⩸⫘≮⫘↔101100011001)⋓(≮⫘↔1100110000111⪨≂≮⫘↔100110001101)⇼⇔∾(↩≮⫘↔1110100110001)⨓(≮⫘↔11100010111⪨≂≮⫘↔100010010111))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":24245,"operation_count":14,"complexity_ratio":1731.7857142857142,"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":1401,"base":2},"right_expr":{"type":"numeric_atoms","value":2748,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3157,"base":2},"right_expr":{"type":"numeric_atoms","value":3716,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1134,"base":2},"right_expr":{"type":"numeric_atoms","value":2785,"base":2}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1659,"base":2},"right_expr":{"type":"numeric_atoms","value":2841,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6535,"base":2},"right_expr":{"type":"numeric_atoms","value":2445,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":7473,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1815,"base":2},"right_expr":{"type":"numeric_atoms","value":2199,"base":2}}}}},"used_operators":["mp7IySMOzn","tifHPKVTfV","sJAwomhLZr","tmPS8pqC7x","2DDjHMKMc0","LRNGc0VcxI","k8jYdgA6NY","T2fj7uvVaJ","fu6greOZ01","sdazOOVcIp","3ViojmjbAp","jLgFTUHLKL"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"≮⫘↔10100101110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1401","layer":4},{"info":"number node, value=2748","layer":4},{"info":"compute binary expreesion, left_input=1401, right_input=2748, 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=1401","layer":3},{"info":"compute unary expreesion, input=1401, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"number node, value=3157","layer":4},{"info":"number node, value=3716","layer":4},{"info":"compute binary expreesion, left_input=3157, right_input=3716, 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=1134","layer":4},{"info":"number node, value=2785","layer":4},{"info":"compute binary expreesion, left_input=1134, right_input=2785, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1134","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1134, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1659","layer":4},{"info":"number node, value=2841","layer":4},{"info":"compute binary expreesion, left_input=1659, right_input=2841, 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=6535","layer":4},{"info":"number node, value=2445","layer":4},{"info":"compute binary expreesion, left_input=6535, right_input=2445, 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=8282","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8282, 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=7473","layer":4},{"info":"compute unary expreesion, input=7473, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-57004","layer":3},{"info":"number node, value=1815","layer":4},{"info":"number node, value=2199","layer":4},{"info":"compute binary expreesion, left_input=1815, right_input=2199, 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=-666","layer":3},{"info":"compute binary expreesion, left_input=-57004, right_input=-666, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=663","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=663, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=663","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=663, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=1326","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10101111001⨪↰⇹≮⫘↔101010111100)⩠)⇼⇔∾≮⫘↔110001010101∀⇚≩≮⫘↔111010000100⋝⋈⪟(≮⫘↔10001101110%≮⫘↔101011100001))⇷((≮⫘↔11001111011⨐⩸⫘≮⫘↔101100011001)⋓(≮⫘↔1100110000111⪨≂≮⫘↔100110001101)⇼⇔∾(↩≮⫘↔1110100110001)⨓(≮⫘↔11100010111⪨≂≮⫘↔100010010111))=≮⫘↔10100101110","reverse_text":"≮⫘↔10100101110=(((≮⫘↔10101111001⨪↰⇹≮⫘↔101010111100)⩠)⇼⇔∾≮⫘↔110001010101∀⇚≩≮⫘↔111010000100⋝⋈⪟(≮⫘↔10001101110%≮⫘↔101011100001))⇷((≮⫘↔11001111011⨐⩸⫘≮⫘↔101100011001)⋓(≮⫘↔1100110000111⪨≂≮⫘↔100110001101)⇼⇔∾(↩≮⫘↔1110100110001)⨓(≮⫘↔11100010111⪨≂≮⫘↔100010010111))","cot":[{"info":"≮⫘↔10101111001⨪↰⇹≮⫘↔101010111100=≮⫘↔10101111001","layer":3},{"info":"≮⫘↔10101111001⩠=≮⫘↔0","layer":2},{"info":"≮⫘↔110001010101∀⇚≩≮⫘↔111010000100=NaN","layer":3},{"info":"≮⫘↔10001101110%≮⫘↔101011100001=≮⫘↔10001101110","layer":3},{"info":"NaN⋝⋈⪟≮⫘↔10001101110=NaN","layer":2},{"info":"≮⫘↔0⇼⇔∾NaN=NaN","layer":1},{"info":"≮⫘↔11001111011⨐⩸⫘≮⫘↔101100011001=NaN","layer":3},{"info":"≮⫘↔1100110000111⪨≂≮⫘↔100110001101=≮⫘↔10000001011010","layer":3},{"info":"NaN⋓≮⫘↔10000001011010=≮⫘↔0","layer":2},{"info":"↩≮⫘↔1110100110001=≮⫘↔-1101111010101100","layer":3},{"info":"≮⫘↔11100010111⪨≂≮⫘↔100010010111=≮⫘↔-1010011010","layer":3},{"info":"≮⫘↔-1101111010101100⨓≮⫘↔-1010011010=≮⫘↔1010010111","layer":2},{"info":"≮⫘↔0⇼⇔∾≮⫘↔1010010111=≮⫘↔1010010111","layer":1},{"info":"NaN⇷≮⫘↔1010010111=≮⫘↔10100101110","layer":0}]}
{"id":82,"expression_no_base_symbol":"(($2731$≫≃)⇼⇔∾($7086$⨵⪆$1127$))∑⇟⊟(↣≠⋷(⊙↵-$5155$))⫌⩹⨱","expression":"((≮⫘↔101010101011≫≃)⇼⇔∾(≮⫘↔1101110101110⨵⪆≮⫘↔10001100111))∑⇟⊟(↣≠⋷(⊙↵-≮⫘↔1010000100011))⫌⩹⨱","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11924,"operation_count":7,"complexity_ratio":1703.4285714285713,"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":2731,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":7086,"base":2},"right_expr":{"type":"numeric_atoms","value":1127,"base":2}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":5155,"base":2}}}}},"used_operators":["EBcxylXtPf","U7g4x0WXJJ","tifHPKVTfV","X99M06cbEe","2DQ55sFlQl","Asc51vEJeQ","oWn0xqSxBt"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"≮⫘↔10101111001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2731","layer":4},{"info":"compute unary expreesion, input=2731, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6863","layer":3},{"info":"number node, value=7086","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=7086, right_input=1127, 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=6863, right_input=160, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6703","layer":2},{"info":"number node, value=5155","layer":4},{"info":"compute unary expreesion, input=5155, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=1","layer":2},{"info":"compute binary expreesion, left_input=-6703, right_input=1, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', 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":2,"result_base":2,"text":"((≮⫘↔101010101011≫≃)⇼⇔∾(≮⫘↔1101110101110⨵⪆≮⫘↔10001100111))∑⇟⊟(↣≠⋷(⊙↵-≮⫘↔1010000100011))⫌⩹⨱=≮⫘↔10101111001","reverse_text":"≮⫘↔10101111001=((≮⫘↔101010101011≫≃)⇼⇔∾(≮⫘↔1101110101110⨵⪆≮⫘↔10001100111))∑⇟⊟(↣≠⋷(⊙↵-≮⫘↔1010000100011))⫌⩹⨱","cot":[{"info":"≮⫘↔101010101011≫≃=≮⫘↔1101011001111","layer":3},{"info":"≮⫘↔1101110101110⨵⪆≮⫘↔10001100111=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1101011001111⇼⇔∾≮⫘↔10100000=≮⫘↔-1101000101111","layer":2},{"info":"⊙↵-≮⫘↔1010000100011=≮⫘↔-1","layer":3},{"info":"↣≠⋷≮⫘↔-1=≮⫘↔1","layer":2},{"info":"≮⫘↔-1101000101111∑⇟⊟≮⫘↔1=≮⫘↔0","layer":1},{"info":"≮⫘↔0⫌⩹⨱=≮⫘↔10101111001","layer":0}]}
{"id":83,"expression_no_base_symbol":"((⇁⨣⪵$1424$)⊴(↔$1455$)+⇶⊼(($6212$⨸⪁$3587$)⫥∨⫟($1243$⨽$6148$)))⩠","expression":"((⇁⨣⪵≮⫘↔10110010000)⊴(↔≮⫘↔10110101111)+⇶⊼((≮⫘↔1100001000100⨸⪁≮⫘↔111000000011)⫥∨⫟(≮⫘↔10011011011⨽≮⫘↔1100000000100)))⩠","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2624,"operation_count":8,"complexity_ratio":328.0,"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":1424,"base":2}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1455,"base":2}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6212,"base":2},"right_expr":{"type":"numeric_atoms","value":3587,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1243,"base":2},"right_expr":{"type":"numeric_atoms","value":6148,"base":2}}}}},"used_operators":["sJAwomhLZr","TpPTUOHfaN","Nsiff2A1zJ","inkyxCbjAn","ruOEQAzv1W","KYD54nUTWz","g55IO6H4Gj","8HhzD0ZcuI"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","B5M0gjZbta","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1424","layer":4},{"info":"compute unary expreesion, input=1424, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1455","layer":4},{"info":"compute unary expreesion, input=1455, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1182","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1182, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=6212","layer":4},{"info":"number node, value=3587","layer":4},{"info":"compute binary expreesion, left_input=6212, right_input=3587, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19598","layer":3},{"info":"number node, value=1243","layer":4},{"info":"number node, value=6148","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=6148, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4652277","layer":3},{"info":"compute binary expreesion, left_input=19598, right_input=-4652277, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"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":1},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⇁⨣⪵≮⫘↔10110010000)⊴(↔≮⫘↔10110101111)+⇶⊼((≮⫘↔1100001000100⨸⪁≮⫘↔111000000011)⫥∨⫟(≮⫘↔10011011011⨽≮⫘↔1100000000100)))⩠=NaN","reverse_text":"NaN=((⇁⨣⪵≮⫘↔10110010000)⊴(↔≮⫘↔10110101111)+⇶⊼((≮⫘↔1100001000100⨸⪁≮⫘↔111000000011)⫥∨⫟(≮⫘↔10011011011⨽≮⫘↔1100000000100)))⩠","cot":[{"info":"⇁⨣⪵≮⫘↔10110010000=NaN","layer":3},{"info":"↔≮⫘↔10110101111=≮⫘↔-10010011110","layer":3},{"info":"NaN⊴≮⫘↔-10010011110=NaN","layer":2},{"info":"≮⫘↔1100001000100⨸⪁≮⫘↔111000000011=≮⫘↔100110010001110","layer":3},{"info":"≮⫘↔10011011011⨽≮⫘↔1100000000100=≮⫘↔-10001101111110011110101","layer":3},{"info":"≮⫘↔100110010001110⫥∨⫟≮⫘↔-10001101111110011110101=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
{"id":84,"expression_no_base_symbol":"(∂($1407$/$5648$/$1749$⋝⋈⪟$4938$))⪘⫢($1287$⪢$2136$⩚⊴⇥($2171$⫡⨏$2452$)⨎($1213$⫥∨⫟$4937$)⋓($3004$⪐))","expression":"(∂(≮⫘↔10101111111/≮⫘↔1011000010000/≮⫘↔11011010101⋝⋈⪟≮⫘↔1001101001010))⪘⫢(≮⫘↔10100000111⪢≮⫘↔100001011000⩚⊴⇥(≮⫘↔100001111011⫡⨏≮⫘↔100110010100)⨎(≮⫘↔10010111101⫥∨⫟≮⫘↔1001101001001)⋓(≮⫘↔101110111100⪐))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2747,"operation_count":12,"complexity_ratio":228.91666666666666,"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":1407,"base":2},"right_expr":{"type":"numeric_atoms","value":5648,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1749,"base":2},"right_expr":{"type":"numeric_atoms","value":4938,"base":2}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1287,"base":2},"right_expr":{"type":"numeric_atoms","value":2136,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2171,"base":2},"right_expr":{"type":"numeric_atoms","value":2452,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1213,"base":2},"right_expr":{"type":"numeric_atoms","value":4937,"base":2}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3004,"base":2}}}}},"used_operators":["oacrs7FA3X","Uaa54Peajs","XhwjNDsVaA","2DDjHMKMc0","rJVOvQCfKK","NTOWxs364D","dWAJyo7jo9","QMFrweE19q","T2fj7uvVaJ","KYD54nUTWz","eH2TOUuTDT"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-1","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1407","layer":4},{"info":"number node, value=5648","layer":4},{"info":"compute binary expreesion, left_input=1407, right_input=5648, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1749","layer":4},{"info":"number node, value=4938","layer":4},{"info":"compute binary expreesion, left_input=1749, right_input=4938, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1749","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1749, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"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":1},{"info":"number node, value=1287","layer":4},{"info":"number node, value=2136","layer":4},{"info":"compute binary expreesion, left_input=1287, right_input=2136, 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=2171","layer":4},{"info":"number node, value=2452","layer":4},{"info":"compute binary expreesion, left_input=2171, right_input=2452, 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=16542","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16542, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=1213","layer":4},{"info":"number node, value=4937","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=4937, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3004","layer":4},{"info":"compute unary expreesion, input=3004, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=6008","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6008, 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 = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-264, right_input=0, 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":0}],"base":2,"result_base":2,"text":"(∂(≮⫘↔10101111111/≮⫘↔1011000010000/≮⫘↔11011010101⋝⋈⪟≮⫘↔1001101001010))⪘⫢(≮⫘↔10100000111⪢≮⫘↔100001011000⩚⊴⇥(≮⫘↔100001111011⫡⨏≮⫘↔100110010100)⨎(≮⫘↔10010111101⫥∨⫟≮⫘↔1001101001001)⋓(≮⫘↔101110111100⪐))=≮⫘↔-1","reverse_text":"≮⫘↔-1=(∂(≮⫘↔10101111111/≮⫘↔1011000010000/≮⫘↔11011010101⋝⋈⪟≮⫘↔1001101001010))⪘⫢(≮⫘↔10100000111⪢≮⫘↔100001011000⩚⊴⇥(≮⫘↔100001111011⫡⨏≮⫘↔100110010100)⨎(≮⫘↔10010111101⫥∨⫟≮⫘↔1001101001001)⋓(≮⫘↔101110111100⪐))","cot":[{"info":"≮⫘↔10101111111/≮⫘↔1011000010000=≮⫘↔0","layer":3},{"info":"≮⫘↔11011010101⋝⋈⪟≮⫘↔1001101001010=≮⫘↔11011010101","layer":3},{"info":"≮⫘↔0/≮⫘↔11011010101=≮⫘↔0","layer":2},{"info":"∂≮⫘↔0=≮⫘↔-100001000","layer":1},{"info":"≮⫘↔10100000111⪢≮⫘↔100001011000=NaN","layer":3},{"info":"≮⫘↔100001111011⫡⨏≮⫘↔100110010100=≮⫘↔100000010011110","layer":3},{"info":"NaN⩚⊴⇥≮⫘↔100000010011110=NaN","layer":2},{"info":"≮⫘↔10010111101⫥∨⫟≮⫘↔1001101001001=NaN","layer":3},{"info":"≮⫘↔101110111100⪐=≮⫘↔1011101111000","layer":3},{"info":"NaN⋓≮⫘↔1011101111000=≮⫘↔0","layer":2},{"info":"NaN⨎≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔-100001000⪘⫢≮⫘↔0=≮⫘↔-1","layer":0}]}
{"id":85,"expression_no_base_symbol":"⫓⪴(($3582$⊴$1177$⪐)⩚⊴⇥($1214$⇷$6427$⊉≛↸$6494$⩚⊴⇥$4453$))","expression":"⫓⪴((≮⫘↔110111111110⊴≮⫘↔10010011001⪐)⩚⊴⇥(≮⫘↔10010111110⇷≮⫘↔1100100011011⊉≛↸≮⫘↔1100101011110⩚⊴⇥≮⫘↔1000101100101))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":19160,"operation_count":7,"complexity_ratio":2737.1428571428573,"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":3582,"base":2},"right_expr":{"type":"numeric_atoms","value":1177,"base":2}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1214,"base":2},"right_expr":{"type":"numeric_atoms","value":6427,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6494,"base":2},"right_expr":{"type":"numeric_atoms","value":4453,"base":2}}}}},"used_operators":["eLxqMNBOBk","NTOWxs364D","eH2TOUuTDT","Nsiff2A1zJ","DZ8iAZOCBD","mp7IySMOzn"],"dependent_operators":["9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3582","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=3582, right_input=1177, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":2},{"info":"number node, value=1214","layer":4},{"info":"number node, value=6427","layer":4},{"info":"compute binary expreesion, left_input=1214, right_input=6427, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12854","layer":3},{"info":"number node, value=6494","layer":4},{"info":"number node, value=4453","layer":4},{"info":"compute binary expreesion, left_input=6494, right_input=4453, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11068","layer":3},{"info":"compute binary expreesion, left_input=12854, right_input=-11068, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=25708","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=25708, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⫓⪴((≮⫘↔110111111110⊴≮⫘↔10010011001⪐)⩚⊴⇥(≮⫘↔10010111110⇷≮⫘↔1100100011011⊉≛↸≮⫘↔1100101011110⩚⊴⇥≮⫘↔1000101100101))=NaN","reverse_text":"NaN=⫓⪴((≮⫘↔110111111110⊴≮⫘↔10010011001⪐)⩚⊴⇥(≮⫘↔10010111110⇷≮⫘↔1100100011011⊉≛↸≮⫘↔1100101011110⩚⊴⇥≮⫘↔1000101100101))","cot":[{"info":"≮⫘↔110111111110⊴≮⫘↔10010011001=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"≮⫘↔10010111110⇷≮⫘↔1100100011011=≮⫘↔11001000110110","layer":3},{"info":"≮⫘↔1100101011110⩚⊴⇥≮⫘↔1000101100101=≮⫘↔-10101100111100","layer":3},{"info":"≮⫘↔11001000110110⊉≛↸≮⫘↔-10101100111100=≮⫘↔110010001101100","layer":2},{"info":"NaN⩚⊴⇥≮⫘↔110010001101100=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":86,"expression_no_base_symbol":"(⪲⇎(∥⊫$1146$)≭($2567$⪄$1261$))⪨≂(($3894$⨵⪆$3205$)⨓($6104$↙$3596$))⪮%⊝(($1023$⨓$7449$)↬($2517$⫥∨⫟$1066$))","expression":"(⪲⇎(∥⊫≮⫘↔10001111010)≭(≮⫘↔101000000111⪄≮⫘↔10011101101))⪨≂((≮⫘↔111100110110⨵⪆≮⫘↔110010000101)⨓(≮⫘↔1011111011000↙≮⫘↔111000001100))⪮%⊝((≮⫘↔1111111111⨓≮⫘↔1110100011001)↬(≮⫘↔100111010101⫥∨⫟≮⫘↔10000101010))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":22120,"operation_count":12,"complexity_ratio":1843.3333333333333,"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":1146,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2567,"base":2},"right_expr":{"type":"numeric_atoms","value":1261,"base":2}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3894,"base":2},"right_expr":{"type":"numeric_atoms","value":3205,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6104,"base":2},"right_expr":{"type":"numeric_atoms","value":3596,"base":2}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1023,"base":2},"right_expr":{"type":"numeric_atoms","value":7449,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2517,"base":2},"right_expr":{"type":"numeric_atoms","value":1066,"base":2}}}}},"used_operators":["sdazOOVcIp","XPYlsWDdGa","rxpJgHHUmx","P8v4zCKN1o","SUmda5xLS4","IWmyXbctLI","3ViojmjbAp","2DQ55sFlQl","yyfyN0ffXY","B5M0gjZbta","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1146","layer":4},{"info":"compute unary expreesion, input=1146, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2014","layer":3},{"info":"number node, value=2567","layer":4},{"info":"number node, value=1261","layer":4},{"info":"compute binary expreesion, left_input=2567, right_input=1261, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-381049","layer":3},{"info":"compute binary expreesion, left_input=2014, right_input=-381049, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"number node, value=3894","layer":4},{"info":"number node, value=3205","layer":4},{"info":"compute binary expreesion, left_input=3894, right_input=3205, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=6104","layer":4},{"info":"number node, value=3596","layer":4},{"info":"compute binary expreesion, left_input=6104, right_input=3596, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10788","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-10788, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=10785","layer":2},{"info":"number node, value=1023","layer":4},{"info":"number node, value=7449","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=7449, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7452","layer":3},{"info":"number node, value=2517","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=2517, right_input=1066, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7452, 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":2},{"info":"compute binary expreesion, left_input=10785, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⪲⇎(∥⊫≮⫘↔10001111010)≭(≮⫘↔101000000111⪄≮⫘↔10011101101))⪨≂((≮⫘↔111100110110⨵⪆≮⫘↔110010000101)⨓(≮⫘↔1011111011000↙≮⫘↔111000001100))⪮%⊝((≮⫘↔1111111111⨓≮⫘↔1110100011001)↬(≮⫘↔100111010101⫥∨⫟≮⫘↔10000101010))=NaN","reverse_text":"NaN=(⪲⇎(∥⊫≮⫘↔10001111010)≭(≮⫘↔101000000111⪄≮⫘↔10011101101))⪨≂((≮⫘↔111100110110⨵⪆≮⫘↔110010000101)⨓(≮⫘↔1011111011000↙≮⫘↔111000001100))⪮%⊝((≮⫘↔1111111111⨓≮⫘↔1110100011001)↬(≮⫘↔100111010101⫥∨⫟≮⫘↔10000101010))","cot":[{"info":"∥⊫≮⫘↔10001111010=≮⫘↔11111011110","layer":3},{"info":"≮⫘↔101000000111⪄≮⫘↔10011101101=≮⫘↔-1011101000001111001","layer":3},{"info":"≮⫘↔11111011110≭≮⫘↔-1011101000001111001=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"≮⫘↔111100110110⨵⪆≮⫘↔110010000101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1011111011000↙≮⫘↔111000001100=≮⫘↔-10101000100100","layer":3},{"info":"≮⫘↔10100000⨓≮⫘↔-10101000100100=≮⫘↔10101000100001","layer":2},{"info":"≮⫘↔1111111111⨓≮⫘↔1110100011001=≮⫘↔-1110100011100","layer":3},{"info":"≮⫘↔100111010101⫥∨⫟≮⫘↔10000101010=NaN","layer":3},{"info":"≮⫘↔-1110100011100↬NaN=NaN","layer":2},{"info":"≮⫘↔10101000100001⪮%⊝NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":87,"expression_no_base_symbol":"(↽≂(⫛⫱⨽($3323$⋝⋈⪟$1067$)))≭($2972$⋫)↬(⩦⩻⨪$1130$)⋝⋈⪟(∥⊫($3930$*$1681$))","expression":"(↽≂(⫛⫱⨽(≮⫘↔110011111011⋝⋈⪟≮⫘↔10000101011)))≭(≮⫘↔101110011100⋫)↬(⩦⩻⨪≮⫘↔10001101010)⋝⋈⪟(∥⊫(≮⫘↔111101011010*≮⫘↔11010010001))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6093,"operation_count":10,"complexity_ratio":609.3,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3323,"base":2},"right_expr":{"type":"numeric_atoms","value":1067,"base":2}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2972,"base":2}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1130,"base":2}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3930,"base":2},"right_expr":{"type":"numeric_atoms","value":1681,"base":2}}}}},"used_operators":["rxpJgHHUmx","u6S6b8DprG","DlLNRPXxWL","2DDjHMKMc0","B5M0gjZbta","JL8yIekQnl","2td37pGCOC","P8v4zCKN1o","9HNa5Wba9A"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3323","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=3323, right_input=1067, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3323","layer":3},{"info":"compute unary expreesion, input=3323, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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=2972","layer":4},{"info":"compute unary expreesion, input=2972, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2972","layer":3},{"info":"number node, value=1130","layer":4},{"info":"compute unary expreesion, input=1130, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1130","layer":3},{"info":"compute binary expreesion, left_input=2972, right_input=1130, 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=3930","layer":4},{"info":"number node, value=1681","layer":4},{"info":"compute binary expreesion, left_input=3930, right_input=1681, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6606330","layer":3},{"info":"compute unary expreesion, input=6606330, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6607198","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6607198, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"(↽≂(⫛⫱⨽(≮⫘↔110011111011⋝⋈⪟≮⫘↔10000101011)))≭(≮⫘↔101110011100⋫)↬(⩦⩻⨪≮⫘↔10001101010)⋝⋈⪟(∥⊫(≮⫘↔111101011010*≮⫘↔11010010001))=NaN","reverse_text":"NaN=(↽≂(⫛⫱⨽(≮⫘↔110011111011⋝⋈⪟≮⫘↔10000101011)))≭(≮⫘↔101110011100⋫)↬(⩦⩻⨪≮⫘↔10001101010)⋝⋈⪟(∥⊫(≮⫘↔111101011010*≮⫘↔11010010001))","cot":[{"info":"≮⫘↔110011111011⋝⋈⪟≮⫘↔10000101011=≮⫘↔110011111011","layer":3},{"info":"⫛⫱⨽≮⫘↔110011111011=≮⫘↔0","layer":2},{"info":"↽≂≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔101110011100⋫=≮⫘↔101110011100","layer":3},{"info":"⩦⩻⨪≮⫘↔10001101010=≮⫘↔10001101010","layer":3},{"info":"≮⫘↔101110011100↬≮⫘↔10001101010=NaN","layer":2},{"info":"≮⫘↔111101011010*≮⫘↔11010010001=≮⫘↔11001001100110111111010","layer":3},{"info":"∥⊫≮⫘↔11001001100110111111010=≮⫘↔11001001101000101011110","layer":2},{"info":"NaN⋝⋈⪟≮⫘↔11001001101000101011110=NaN","layer":1},{"info":"≮⫘↔0≭NaN=NaN","layer":0}]}
{"id":88,"expression_no_base_symbol":"(($4613$⨰$1022$)↬$2184$⊴$1307$∲⫓(+⊝⨔$6153$)≧⫂∧($2379$↺$7749$))≧⫂∧(↩($6644$+⇶⊼$2744$)⪛(∂$3367$))","expression":"((≮⫘↔1001000000101⨰≮⫘↔1111111110)↬≮⫘↔100010001000⊴≮⫘↔10100011011∲⫓(+⊝⨔≮⫘↔1100000001001)≧⫂∧(≮⫘↔100101001011↺≮⫘↔1111001000101))≧⫂∧(↩(≮⫘↔1100111110100+⇶⊼≮⫘↔101010111000)⪛(∂≮⫘↔110100100111))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1731,"operation_count":12,"complexity_ratio":144.25,"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":4613,"base":2},"right_expr":{"type":"numeric_atoms","value":1022,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2184,"base":2},"right_expr":{"type":"numeric_atoms","value":1307,"base":2}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":6153,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2379,"base":2},"right_expr":{"type":"numeric_atoms","value":7749,"base":2}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6644,"base":2},"right_expr":{"type":"numeric_atoms","value":2744,"base":2}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3367,"base":2}}}}},"used_operators":["Ph9nP6C5qx","i8ToyICDmI","B5M0gjZbta","eewbuw0ToL","Nsiff2A1zJ","DhbWaqg5eL","7j4O788W3g","jLgFTUHLKL","uFcxV4UQCh","TpPTUOHfaN","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=4613","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=4613, right_input=1022, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3601","layer":3},{"info":"number node, value=2184","layer":4},{"info":"number node, value=1307","layer":4},{"info":"compute binary expreesion, left_input=2184, right_input=1307, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3601, 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":2},{"info":"number node, value=6153","layer":4},{"info":"compute unary expreesion, input=6153, 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=2379","layer":4},{"info":"number node, value=7749","layer":4},{"info":"compute binary expreesion, left_input=2379, right_input=7749, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7749","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=7749, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7276","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7276, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=6644","layer":4},{"info":"number node, value=2744","layer":4},{"info":"compute binary expreesion, left_input=6644, right_input=2744, 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=3367","layer":4},{"info":"compute unary expreesion, input=3367, 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=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"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=0, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001000000101⨰≮⫘↔1111111110)↬≮⫘↔100010001000⊴≮⫘↔10100011011∲⫓(+⊝⨔≮⫘↔1100000001001)≧⫂∧(≮⫘↔100101001011↺≮⫘↔1111001000101))≧⫂∧(↩(≮⫘↔1100111110100+⇶⊼≮⫘↔101010111000)⪛(∂≮⫘↔110100100111))=NaN","reverse_text":"NaN=((≮⫘↔1001000000101⨰≮⫘↔1111111110)↬≮⫘↔100010001000⊴≮⫘↔10100011011∲⫓(+⊝⨔≮⫘↔1100000001001)≧⫂∧(≮⫘↔100101001011↺≮⫘↔1111001000101))≧⫂∧(↩(≮⫘↔1100111110100+⇶⊼≮⫘↔101010111000)⪛(∂≮⫘↔110100100111))","cot":[{"info":"≮⫘↔1001000000101⨰≮⫘↔1111111110=≮⫘↔111000010001","layer":3},{"info":"≮⫘↔100010001000⊴≮⫘↔10100011011=NaN","layer":3},{"info":"≮⫘↔111000010001↬NaN=NaN","layer":2},{"info":"+⊝⨔≮⫘↔1100000001001=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔100101001011↺≮⫘↔1111001000101=≮⫘↔1111001000101","layer":3},{"info":"≮⫘↔10111110010≧⫂∧≮⫘↔1111001000101=≮⫘↔1110001101100","layer":2},{"info":"NaN∲⫓≮⫘↔1110001101100=≮⫘↔0","layer":1},{"info":"≮⫘↔1100111110100+⇶⊼≮⫘↔101010111000=NaN","layer":3},{"info":"∂≮⫘↔110100100111=NaN","layer":3},{"info":"NaN⪛NaN=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"≮⫘↔0≧⫂∧NaN=NaN","layer":0}]}
{"id":89,"expression_no_base_symbol":"($1252$⪛$3265$⇼⇔∾(∥⊫$5152$)⊉≛↸(↯⪼($2860$⨓$4235$)))≹⇙⪍((+⊝⨔(⊥$1075$))⩷∴(($1235$⋥≓≎$6653$)+⇶⊼$3352$⨪↰⇹$2774$))","expression":"(≮⫘↔10011100100⪛≮⫘↔110011000001⇼⇔∾(∥⊫≮⫘↔1010000100000)⊉≛↸(↯⪼(≮⫘↔101100101100⨓≮⫘↔1000010001011)))≹⇙⪍((+⊝⨔(⊥≮⫘↔10000110011))⩷∴((≮⫘↔10011010011⋥≓≎≮⫘↔1100111111101)+⇶⊼≮⫘↔110100011000⨪↰⇹≮⫘↔101011010110))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7651,"operation_count":13,"complexity_ratio":588.5384615384615,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1252,"base":2},"right_expr":{"type":"numeric_atoms","value":3265,"base":2}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5152,"base":2}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2860,"base":2},"right_expr":{"type":"numeric_atoms","value":4235,"base":2}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1075,"base":2}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1235,"base":2},"right_expr":{"type":"numeric_atoms","value":6653,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3352,"base":2},"right_expr":{"type":"numeric_atoms","value":2774,"base":2}}}}},"used_operators":["AHs5Up7iyr","DZ8iAZOCBD","tifHPKVTfV","uFcxV4UQCh","P8v4zCKN1o","8jW3W4yZS5","3ViojmjbAp","9FxExcQeMw","DhbWaqg5eL","Q3PJZHRvZv","TpPTUOHfaN","Qy55tPpLXF","tmPS8pqC7x"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","fu6greOZ01","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1252","layer":4},{"info":"number node, value=3265","layer":4},{"info":"compute binary expreesion, left_input=1252, right_input=3265, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1252","layer":3},{"info":"number node, value=5152","layer":4},{"info":"compute unary expreesion, input=5152, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6020","layer":3},{"info":"compute binary expreesion, left_input=1252, right_input=6020, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4768","layer":2},{"info":"number node, value=2860","layer":4},{"info":"number node, value=4235","layer":4},{"info":"compute binary expreesion, left_input=2860, right_input=4235, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4238","layer":3},{"info":"compute unary expreesion, input=-4238, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=7559","layer":2},{"info":"compute binary expreesion, left_input=4768, right_input=7559, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9536","layer":1},{"info":"number node, value=1075","layer":4},{"info":"compute unary expreesion, input=1075, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', 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=1235","layer":4},{"info":"number node, value=6653","layer":4},{"info":"compute binary expreesion, left_input=1235, right_input=6653, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=12104","layer":3},{"info":"number node, value=3352","layer":4},{"info":"number node, value=2774","layer":4},{"info":"compute binary expreesion, left_input=3352, right_input=2774, 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=3352","layer":3},{"info":"compute binary expreesion, left_input=12104, right_input=3352, 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=1522, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9536, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10011100100⪛≮⫘↔110011000001⇼⇔∾(∥⊫≮⫘↔1010000100000)⊉≛↸(↯⪼(≮⫘↔101100101100⨓≮⫘↔1000010001011)))≹⇙⪍((+⊝⨔(⊥≮⫘↔10000110011))⩷∴((≮⫘↔10011010011⋥≓≎≮⫘↔1100111111101)+⇶⊼≮⫘↔110100011000⨪↰⇹≮⫘↔101011010110))=NaN","reverse_text":"NaN=(≮⫘↔10011100100⪛≮⫘↔110011000001⇼⇔∾(∥⊫≮⫘↔1010000100000)⊉≛↸(↯⪼(≮⫘↔101100101100⨓≮⫘↔1000010001011)))≹⇙⪍((+⊝⨔(⊥≮⫘↔10000110011))⩷∴((≮⫘↔10011010011⋥≓≎≮⫘↔1100111111101)+⇶⊼≮⫘↔110100011000⨪↰⇹≮⫘↔101011010110))","cot":[{"info":"≮⫘↔10011100100⪛≮⫘↔110011000001=≮⫘↔10011100100","layer":3},{"info":"∥⊫≮⫘↔1010000100000=≮⫘↔1011110000100","layer":3},{"info":"≮⫘↔10011100100⇼⇔∾≮⫘↔1011110000100=≮⫘↔1001010100000","layer":2},{"info":"≮⫘↔101100101100⨓≮⫘↔1000010001011=≮⫘↔-1000010001110","layer":3},{"info":"↯⪼≮⫘↔-1000010001110=≮⫘↔1110110000111","layer":2},{"info":"≮⫘↔1001010100000⊉≛↸≮⫘↔1110110000111=≮⫘↔10010101000000","layer":1},{"info":"⊥≮⫘↔10000110011=NaN","layer":3},{"info":"+⊝⨔NaN=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔10011010011⋥≓≎≮⫘↔1100111111101=≮⫘↔10111101001000","layer":3},{"info":"≮⫘↔110100011000⨪↰⇹≮⫘↔101011010110=≮⫘↔110100011000","layer":3},{"info":"≮⫘↔10111101001000+⇶⊼≮⫘↔110100011000=NaN","layer":2},{"info":"≮⫘↔10111110010⩷∴NaN=NaN","layer":1},{"info":"≮⫘↔10010101000000≹⇙⪍NaN=NaN","layer":0}]}
{"id":90,"expression_no_base_symbol":"(($2597$⨟⋌⩍$1396$⨽$3033$∼$4275$)⋥≓≎(⇁⨣⪵(⩦⩻⨪$3192$)))⩚⊴⇥($2558$⪮%⊝$7596$⋳⪒($1430$⨵⪆$1928$)⇼⇔∾(⨈⫕$1797$⨐⩸⫘$1568$))","expression":"((≮⫘↔101000100101⨟⋌⩍≮⫘↔10101110100⨽≮⫘↔101111011001∼≮⫘↔1000010110011)⋥≓≎(⇁⨣⪵(⩦⩻⨪≮⫘↔110001111000)))⩚⊴⇥(≮⫘↔100111111110⪮%⊝≮⫘↔1110110101100⋳⪒(≮⫘↔10110010110⨵⪆≮⫘↔11110001000)⇼⇔∾(⨈⫕≮⫘↔11100000101⨐⩸⫘≮⫘↔11000100000))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":487,"operation_count":13,"complexity_ratio":37.46153846153846,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2597,"base":2},"right_expr":{"type":"numeric_atoms","value":1396,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3033,"base":2},"right_expr":{"type":"numeric_atoms","value":4275,"base":2}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3192,"base":2}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2558,"base":2},"right_expr":{"type":"numeric_atoms","value":7596,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1430,"base":2},"right_expr":{"type":"numeric_atoms","value":1928,"base":2}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1797,"base":2},"right_expr":{"type":"numeric_atoms","value":1568,"base":2}}}}},"used_operators":["NTOWxs364D","Qy55tPpLXF","8HhzD0ZcuI","rGHVDoGpnC","DyGG3AbaNP","inkyxCbjAn","2td37pGCOC","tifHPKVTfV","12rbrZMWeM","IWmyXbctLI","2DQ55sFlQl","megm06wKyl","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Tcnh7f0tEr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","3ViojmjbAp"],"result":"≮⫘↔10100000001010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2597","layer":4},{"info":"number node, value=1396","layer":4},{"info":"compute binary expreesion, left_input=2597, right_input=1396, 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=3033","layer":4},{"info":"number node, value=4275","layer":4},{"info":"compute binary expreesion, left_input=3033, right_input=4275, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=3192","layer":4},{"info":"compute unary expreesion, input=3192, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3192","layer":3},{"info":"compute unary expreesion, input=3192, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"number node, value=2558","layer":4},{"info":"number node, value=7596","layer":4},{"info":"compute binary expreesion, left_input=2558, right_input=7596, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5432","layer":3},{"info":"number node, value=1430","layer":4},{"info":"number node, value=1928","layer":4},{"info":"compute binary expreesion, left_input=1430, right_input=1928, 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=5432, right_input=160, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=10417","layer":2},{"info":"number node, value=1797","layer":4},{"info":"number node, value=1568","layer":4},{"info":"compute binary expreesion, left_input=1797, right_input=1568, 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 = 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=10417, right_input=-21, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-10438","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-10438, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=10250","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101000100101⨟⋌⩍≮⫘↔10101110100⨽≮⫘↔101111011001∼≮⫘↔1000010110011)⋥≓≎(⇁⨣⪵(⩦⩻⨪≮⫘↔110001111000)))⩚⊴⇥(≮⫘↔100111111110⪮%⊝≮⫘↔1110110101100⋳⪒(≮⫘↔10110010110⨵⪆≮⫘↔11110001000)⇼⇔∾(⨈⫕≮⫘↔11100000101⨐⩸⫘≮⫘↔11000100000))=≮⫘↔10100000001010","reverse_text":"≮⫘↔10100000001010=((≮⫘↔101000100101⨟⋌⩍≮⫘↔10101110100⨽≮⫘↔101111011001∼≮⫘↔1000010110011)⋥≓≎(⇁⨣⪵(⩦⩻⨪≮⫘↔110001111000)))⩚⊴⇥(≮⫘↔100111111110⪮%⊝≮⫘↔1110110101100⋳⪒(≮⫘↔10110010110⨵⪆≮⫘↔11110001000)⇼⇔∾(⨈⫕≮⫘↔11100000101⨐⩸⫘≮⫘↔11000100000))","cot":[{"info":"≮⫘↔101000100101⨟⋌⩍≮⫘↔10101110100=NaN","layer":3},{"info":"≮⫘↔101111011001∼≮⫘↔1000010110011=NaN","layer":3},{"info":"NaN⨽NaN=NaN","layer":2},{"info":"⩦⩻⨪≮⫘↔110001111000=≮⫘↔110001111000","layer":3},{"info":"⇁⨣⪵≮⫘↔110001111000=NaN","layer":2},{"info":"NaN⋥≓≎NaN=≮⫘↔1000011","layer":1},{"info":"≮⫘↔100111111110⪮%⊝≮⫘↔1110110101100=≮⫘↔1010100111000","layer":3},{"info":"≮⫘↔10110010110⨵⪆≮⫘↔11110001000=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1010100111000⋳⪒≮⫘↔10100000=≮⫘↔10100010110001","layer":2},{"info":"≮⫘↔11100000101⨐⩸⫘≮⫘↔11000100000=NaN","layer":3},{"info":"⨈⫕NaN=≮⫘↔-10101","layer":2},{"info":"≮⫘↔10100010110001⇼⇔∾≮⫘↔-10101=≮⫘↔-10100011000110","layer":1},{"info":"≮⫘↔1000011⩚⊴⇥≮⫘↔-10100011000110=≮⫘↔10100000001010","layer":0}]}
{"id":91,"expression_no_base_symbol":"($1119$⨎$5015$⨐⩸⫘(↯⪼$2014$))⋝⋈⪟($1796$≭$6210$⪐)⫸⊐($2884$⩷∴$2769$)⪮%⊝($1679$⊦⊿)⇷(-$2761$⫸⊐$3721$)","expression":"(≮⫘↔10001011111⨎≮⫘↔1001110010111⨐⩸⫘(↯⪼≮⫘↔11111011110))⋝⋈⪟(≮⫘↔11100000100≭≮⫘↔1100001000010⪐)⫸⊐(≮⫘↔101101000100⩷∴≮⫘↔101011010001)⪮%⊝(≮⫘↔11010001111⊦⊿)⇷(-≮⫘↔101011001001⫸⊐≮⫘↔111010001001)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10631,"operation_count":13,"complexity_ratio":817.7692307692307,"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":1119,"base":2},"right_expr":{"type":"numeric_atoms","value":5015,"base":2}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2014,"base":2}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1796,"base":2},"right_expr":{"type":"numeric_atoms","value":6210,"base":2}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2884,"base":2},"right_expr":{"type":"numeric_atoms","value":2769,"base":2}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1679,"base":2}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2761,"base":2},"right_expr":{"type":"numeric_atoms","value":3721,"base":2}}}}},"used_operators":["mqXw5SEYmG","2DDjHMKMc0","fu6greOZ01","rJVOvQCfKK","8jW3W4yZS5","eH2TOUuTDT","rxpJgHHUmx","mp7IySMOzn","IWmyXbctLI","9FxExcQeMw","14qkJME0vr","t8gj7n24qd"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1119","layer":4},{"info":"number node, value=5015","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=5015, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5015","layer":3},{"info":"number node, value=2014","layer":4},{"info":"compute unary expreesion, input=2014, 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=5015, right_input=-21, 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=24","layer":2},{"info":"number node, value=1796","layer":4},{"info":"number node, value=6210","layer":4},{"info":"compute binary expreesion, left_input=1796, right_input=6210, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=24, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=2884","layer":4},{"info":"number node, value=2769","layer":4},{"info":"compute binary expreesion, left_input=2884, right_input=2769, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=198","layer":3},{"info":"number node, value=1679","layer":4},{"info":"compute unary expreesion, input=1679, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5116","layer":3},{"info":"compute binary expreesion, left_input=198, right_input=-5116, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=712","layer":2},{"info":"number node, value=2761","layer":4},{"info":"number node, value=3721","layer":4},{"info":"compute binary expreesion, left_input=2761, right_input=3721, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14759","layer":3},{"info":"compute unary expreesion, input=14759, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-14759","layer":2},{"info":"compute binary expreesion, left_input=712, right_input=-14759, 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 = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10001011111⨎≮⫘↔1001110010111⨐⩸⫘(↯⪼≮⫘↔11111011110))⋝⋈⪟(≮⫘↔11100000100≭≮⫘↔1100001000010⪐)⫸⊐(≮⫘↔101101000100⩷∴≮⫘↔101011010001)⪮%⊝(≮⫘↔11010001111⊦⊿)⇷(-≮⫘↔101011001001⫸⊐≮⫘↔111010001001)=NaN","reverse_text":"NaN=(≮⫘↔10001011111⨎≮⫘↔1001110010111⨐⩸⫘(↯⪼≮⫘↔11111011110))⋝⋈⪟(≮⫘↔11100000100≭≮⫘↔1100001000010⪐)⫸⊐(≮⫘↔101101000100⩷∴≮⫘↔101011010001)⪮%⊝(≮⫘↔11010001111⊦⊿)⇷(-≮⫘↔101011001001⫸⊐≮⫘↔111010001001)","cot":[{"info":"≮⫘↔10001011111⨎≮⫘↔1001110010111=≮⫘↔1001110010111","layer":3},{"info":"↯⪼≮⫘↔11111011110=≮⫘↔-10101","layer":3},{"info":"≮⫘↔1001110010111⨐⩸⫘≮⫘↔-10101=≮⫘↔11000","layer":2},{"info":"≮⫘↔11100000100≭≮⫘↔1100001000010=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"≮⫘↔11000⋝⋈⪟NaN=NaN","layer":1},{"info":"≮⫘↔101101000100⩷∴≮⫘↔101011010001=≮⫘↔11000110","layer":3},{"info":"≮⫘↔11010001111⊦⊿=≮⫘↔-1001111111100","layer":3},{"info":"≮⫘↔11000110⪮%⊝≮⫘↔-1001111111100=≮⫘↔1011001000","layer":2},{"info":"≮⫘↔101011001001⫸⊐≮⫘↔111010001001=≮⫘↔11100110100111","layer":3},{"info":"-≮⫘↔11100110100111=≮⫘↔-11100110100111","layer":2},{"info":"≮⫘↔1011001000⇷≮⫘↔-11100110100111=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":92,"expression_no_base_symbol":"($4591$+$2170$)⇼⇔∾$3913$⨪↰⇹$2679$⊉≛↸(⪝⪂⫅($1169$⫡⨏$1017$))⫡⨏(⫓⪴(⨞⊢$1994$))∲⫓($4456$≭$1012$)⨰(⊥$4441$)","expression":"(≮⫘↔1000111101111+≮⫘↔100001111010)⇼⇔∾≮⫘↔111101001001⨪↰⇹≮⫘↔101001110111⊉≛↸(⪝⪂⫅(≮⫘↔10010010001⫡⨏≮⫘↔1111111001))⫡⨏(⫓⪴(⨞⊢≮⫘↔11111001010))∲⫓(≮⫘↔1000101101000≭≮⫘↔1111110100)⨰(⊥≮⫘↔1000101011001)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6264,"operation_count":13,"complexity_ratio":481.84615384615387,"tree":{"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":2},"right_expr":{"type":"numeric_atoms","value":2170,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3913,"base":2},"right_expr":{"type":"numeric_atoms","value":2679,"base":2}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1169,"base":2},"right_expr":{"type":"numeric_atoms","value":1017,"base":2}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1994,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4456,"base":2},"right_expr":{"type":"numeric_atoms","value":1012,"base":2}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4441,"base":2}}}}},"used_operators":["QMFrweE19q","DZ8iAZOCBD","tifHPKVTfV","W4YGzv6Whe","tmPS8pqC7x","XTarYq4gQB","i8ToyICDmI","eLxqMNBOBk","xUOZtlo3hN","eewbuw0ToL","rxpJgHHUmx","Q3PJZHRvZv"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4591","layer":4},{"info":"number node, value=2170","layer":4},{"info":"compute binary expreesion, left_input=4591, right_input=2170, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6761","layer":3},{"info":"number node, value=3913","layer":4},{"info":"number node, value=2679","layer":4},{"info":"compute binary expreesion, left_input=3913, right_input=2679, 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=3913","layer":3},{"info":"compute binary expreesion, left_input=6761, right_input=3913, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2848","layer":2},{"info":"number node, value=1169","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=1017, 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=8662","layer":3},{"info":"compute unary expreesion, input=8662, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1273314","layer":2},{"info":"compute binary expreesion, left_input=-2848, right_input=-1273314, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1273314","layer":1},{"info":"number node, value=1994","layer":4},{"info":"compute unary expreesion, input=1994, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2168","layer":3},{"info":"compute unary expreesion, input=-2168, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4700224","layer":2},{"info":"number node, value=4456","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=4456, right_input=1012, 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=4441","layer":4},{"info":"compute unary expreesion, input=4441, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4700224, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1273314, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1000111101111+≮⫘↔100001111010)⇼⇔∾≮⫘↔111101001001⨪↰⇹≮⫘↔101001110111⊉≛↸(⪝⪂⫅(≮⫘↔10010010001⫡⨏≮⫘↔1111111001))⫡⨏(⫓⪴(⨞⊢≮⫘↔11111001010))∲⫓(≮⫘↔1000101101000≭≮⫘↔1111110100)⨰(⊥≮⫘↔1000101011001)=NaN","reverse_text":"NaN=(≮⫘↔1000111101111+≮⫘↔100001111010)⇼⇔∾≮⫘↔111101001001⨪↰⇹≮⫘↔101001110111⊉≛↸(⪝⪂⫅(≮⫘↔10010010001⫡⨏≮⫘↔1111111001))⫡⨏(⫓⪴(⨞⊢≮⫘↔11111001010))∲⫓(≮⫘↔1000101101000≭≮⫘↔1111110100)⨰(⊥≮⫘↔1000101011001)","cot":[{"info":"≮⫘↔1000111101111+≮⫘↔100001111010=≮⫘↔1101001101001","layer":3},{"info":"≮⫘↔111101001001⨪↰⇹≮⫘↔101001110111=≮⫘↔111101001001","layer":3},{"info":"≮⫘↔1101001101001⇼⇔∾≮⫘↔111101001001=≮⫘↔-101100100000","layer":2},{"info":"≮⫘↔10010010001⫡⨏≮⫘↔1111111001=≮⫘↔10000111010110","layer":3},{"info":"⪝⪂⫅≮⫘↔10000111010110=≮⫘↔-100110110110111100010","layer":2},{"info":"≮⫘↔-101100100000⊉≛↸≮⫘↔-100110110110111100010=≮⫘↔100110110110111100010","layer":1},{"info":"⨞⊢≮⫘↔11111001010=≮⫘↔-100001111000","layer":3},{"info":"⫓⪴≮⫘↔-100001111000=≮⫘↔10001111011100001000000","layer":2},{"info":"≮⫘↔1000101101000≭≮⫘↔1111110100=NaN","layer":3},{"info":"⊥≮⫘↔1000101011001=NaN","layer":3},{"info":"NaN⨰NaN=NaN","layer":2},{"info":"≮⫘↔10001111011100001000000∲⫓NaN=NaN","layer":1},{"info":"≮⫘↔100110110110111100010⫡⨏NaN=NaN","layer":0}]}
{"id":93,"expression_no_base_symbol":"((⩦⩻⨪$4184$)⨎($5893$⨳⩥⨓$3126$))⋓($2873$+$1093$)⪮%⊝(⨵≀≌$5812$)⊉≛↸(($2578$⊴$1563$⊭↱$1002$⨓$1223$)∧)","expression":"((⩦⩻⨪≮⫘↔1000001011000)⨎(≮⫘↔1011100000101⨳⩥⨓≮⫘↔110000110110))⋓(≮⫘↔101100111001+≮⫘↔10001000101)⪮%⊝(⨵≀≌≮⫘↔1011010110100)⊉≛↸((≮⫘↔101000010010⊴≮⫘↔11000011011⊭↱≮⫘↔1111101010⨓≮⫘↔10011000111)∧)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4318,"operation_count":12,"complexity_ratio":359.8333333333333,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4184,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5893,"base":2},"right_expr":{"type":"numeric_atoms","value":3126,"base":2}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2873,"base":2},"right_expr":{"type":"numeric_atoms","value":1093,"base":2}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5812,"base":2}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2578,"base":2},"right_expr":{"type":"numeric_atoms","value":1563,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1002,"base":2},"right_expr":{"type":"numeric_atoms","value":1223,"base":2}}}}},"used_operators":["DZ8iAZOCBD","T2fj7uvVaJ","rJVOvQCfKK","2td37pGCOC","nCS4ZIUYfx","IWmyXbctLI","W4YGzv6Whe","srAu1WTS94","z63VuFQld9","COABgblf1C","Nsiff2A1zJ","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4184","layer":4},{"info":"compute unary expreesion, input=4184, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4184","layer":3},{"info":"number node, value=5893","layer":4},{"info":"number node, value=3126","layer":4},{"info":"compute binary expreesion, left_input=5893, right_input=3126, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2767","layer":3},{"info":"compute binary expreesion, left_input=4184, right_input=-2767, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-2767","layer":2},{"info":"number node, value=2873","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=2873, right_input=1093, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3966","layer":3},{"info":"number node, value=5812","layer":4},{"info":"compute unary expreesion, input=5812, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-17436","layer":3},{"info":"compute binary expreesion, left_input=3966, right_input=-17436, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8248","layer":2},{"info":"compute binary expreesion, left_input=-2767, right_input=8248, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=2578","layer":4},{"info":"number node, value=1563","layer":4},{"info":"compute binary expreesion, left_input=2578, right_input=1563, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1002","layer":4},{"info":"number node, value=1223","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=1223, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1226","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1226, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', 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":"compute binary expreesion, left_input=0, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"((⩦⩻⨪≮⫘↔1000001011000)⨎(≮⫘↔1011100000101⨳⩥⨓≮⫘↔110000110110))⋓(≮⫘↔101100111001+≮⫘↔10001000101)⪮%⊝(⨵≀≌≮⫘↔1011010110100)⊉≛↸((≮⫘↔101000010010⊴≮⫘↔11000011011⊭↱≮⫘↔1111101010⨓≮⫘↔10011000111)∧)=≮⫘↔0","reverse_text":"≮⫘↔0=((⩦⩻⨪≮⫘↔1000001011000)⨎(≮⫘↔1011100000101⨳⩥⨓≮⫘↔110000110110))⋓(≮⫘↔101100111001+≮⫘↔10001000101)⪮%⊝(⨵≀≌≮⫘↔1011010110100)⊉≛↸((≮⫘↔101000010010⊴≮⫘↔11000011011⊭↱≮⫘↔1111101010⨓≮⫘↔10011000111)∧)","cot":[{"info":"⩦⩻⨪≮⫘↔1000001011000=≮⫘↔1000001011000","layer":3},{"info":"≮⫘↔1011100000101⨳⩥⨓≮⫘↔110000110110=≮⫘↔-101011001111","layer":3},{"info":"≮⫘↔1000001011000⨎≮⫘↔-101011001111=≮⫘↔-101011001111","layer":2},{"info":"≮⫘↔101100111001+≮⫘↔10001000101=≮⫘↔111101111110","layer":3},{"info":"⨵≀≌≮⫘↔1011010110100=≮⫘↔-100010000011100","layer":3},{"info":"≮⫘↔111101111110⪮%⊝≮⫘↔-100010000011100=≮⫘↔10000000111000","layer":2},{"info":"≮⫘↔-101011001111⋓≮⫘↔10000000111000=≮⫘↔0","layer":1},{"info":"≮⫘↔101000010010⊴≮⫘↔11000011011=NaN","layer":3},{"info":"≮⫘↔1111101010⨓≮⫘↔10011000111=≮⫘↔-10011001010","layer":3},{"info":"NaN⊭↱≮⫘↔-10011001010=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"≮⫘↔0⊉≛↸NaN=≮⫘↔0","layer":0}]}
{"id":94,"expression_no_base_symbol":"(($1792$⨰$2783$)≹⇙⪍($1165$⨎$4525$)⊠≄⫣)⇼⇔∾($3551$≎⊠⪸$2367$⫥∨⫟$1377$⋝⋈⪟$6101$+((⫛⫱⨽$3606$)⪨≂$1586$+⇶⊼$1139$))","expression":"((≮⫘↔11100000000⨰≮⫘↔101011011111)≹⇙⪍(≮⫘↔10010001101⨎≮⫘↔1000110101101)⊠≄⫣)⇼⇔∾(≮⫘↔110111011111≎⊠⪸≮⫘↔100100111111⫥∨⫟≮⫘↔10101100001⋝⋈⪟≮⫘↔1011111010101+((⫛⫱⨽≮⫘↔111000010110)⪨≂≮⫘↔11000110010+⇶⊼≮⫘↔10001110011))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1869,"operation_count":12,"complexity_ratio":155.75,"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":1792,"base":2},"right_expr":{"type":"numeric_atoms","value":2783,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1165,"base":2},"right_expr":{"type":"numeric_atoms","value":4525,"base":2}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3551,"base":2},"right_expr":{"type":"numeric_atoms","value":2367,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1377,"base":2},"right_expr":{"type":"numeric_atoms","value":6101,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3606,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1586,"base":2},"right_expr":{"type":"numeric_atoms","value":1139,"base":2}}}}},"used_operators":["tifHPKVTfV","DIvbN7qnHd","AHs5Up7iyr","eewbuw0ToL","rJVOvQCfKK","W4YGzv6Whe","KYD54nUTWz","bJkvcejdHO","2DDjHMKMc0","sdazOOVcIp","DlLNRPXxWL","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1792","layer":4},{"info":"number node, value=2783","layer":4},{"info":"compute binary expreesion, left_input=1792, right_input=2783, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-981","layer":3},{"info":"number node, value=1165","layer":4},{"info":"number node, value=4525","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=4525, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4525","layer":3},{"info":"compute binary expreesion, left_input=-981, right_input=4525, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=3551","layer":4},{"info":"number node, value=2367","layer":4},{"info":"compute binary expreesion, left_input=3551, right_input=2367, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=919236","layer":3},{"info":"number node, value=1377","layer":4},{"info":"number node, value=6101","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=6101, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1377","layer":3},{"info":"compute binary expreesion, left_input=919236, right_input=1377, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3606","layer":4},{"info":"compute unary expreesion, input=3606, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1586","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=1586, right_input=1139, 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=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":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11100000000⨰≮⫘↔101011011111)≹⇙⪍(≮⫘↔10010001101⨎≮⫘↔1000110101101)⊠≄⫣)⇼⇔∾(≮⫘↔110111011111≎⊠⪸≮⫘↔100100111111⫥∨⫟≮⫘↔10101100001⋝⋈⪟≮⫘↔1011111010101+((⫛⫱⨽≮⫘↔111000010110)⪨≂≮⫘↔11000110010+⇶⊼≮⫘↔10001110011))=NaN","reverse_text":"NaN=((≮⫘↔11100000000⨰≮⫘↔101011011111)≹⇙⪍(≮⫘↔10010001101⨎≮⫘↔1000110101101)⊠≄⫣)⇼⇔∾(≮⫘↔110111011111≎⊠⪸≮⫘↔100100111111⫥∨⫟≮⫘↔10101100001⋝⋈⪟≮⫘↔1011111010101+((⫛⫱⨽≮⫘↔111000010110)⪨≂≮⫘↔11000110010+⇶⊼≮⫘↔10001110011))","cot":[{"info":"≮⫘↔11100000000⨰≮⫘↔101011011111=≮⫘↔-1111010101","layer":3},{"info":"≮⫘↔10010001101⨎≮⫘↔1000110101101=≮⫘↔1000110101101","layer":3},{"info":"≮⫘↔-1111010101≹⇙⪍≮⫘↔1000110101101=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"≮⫘↔110111011111≎⊠⪸≮⫘↔100100111111=≮⫘↔11100000011011000100","layer":3},{"info":"≮⫘↔10101100001⋝⋈⪟≮⫘↔1011111010101=≮⫘↔10101100001","layer":3},{"info":"≮⫘↔11100000011011000100⫥∨⫟≮⫘↔10101100001=NaN","layer":2},{"info":"⫛⫱⨽≮⫘↔111000010110=≮⫘↔0","layer":3},{"info":"≮⫘↔11000110010+⇶⊼≮⫘↔10001110011=NaN","layer":3},{"info":"≮⫘↔0⪨≂NaN=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":95,"expression_no_base_symbol":"↥($6869$≭$2408$)⋝⋈⪟$4045$⪢$1282$⨐⩸⫘$3203$⨰$1485$⨎$3324$≎⊠⪸$1735$","expression":"↥(≮⫘↔1101011010101≭≮⫘↔100101101000)⋝⋈⪟≮⫘↔111111001101⪢≮⫘↔10100000010⨐⩸⫘≮⫘↔110010000011⨰≮⫘↔10111001101⨎≮⫘↔110011111100≎⊠⪸≮⫘↔11011000111","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3126,"operation_count":8,"complexity_ratio":390.75,"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":6869,"base":2},"right_expr":{"type":"numeric_atoms","value":2408,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4045,"base":2},"right_expr":{"type":"numeric_atoms","value":1282,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3203,"base":2},"right_expr":{"type":"numeric_atoms","value":1485,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3324,"base":2},"right_expr":{"type":"numeric_atoms","value":1735,"base":2}}}}},"used_operators":["A8NUZmVepG","fu6greOZ01","2DDjHMKMc0","rxpJgHHUmx","dWAJyo7jo9","rJVOvQCfKK","eewbuw0ToL","bJkvcejdHO"],"dependent_operators":["k8jYdgA6NY","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6869","layer":4},{"info":"number node, value=2408","layer":4},{"info":"compute binary expreesion, left_input=6869, right_input=2408, 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=4045","layer":4},{"info":"number node, value=1282","layer":4},{"info":"compute binary expreesion, left_input=4045, right_input=1282, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=3203","layer":4},{"info":"number node, value=1485","layer":4},{"info":"compute binary expreesion, left_input=3203, right_input=1485, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1728","layer":3},{"info":"number node, value=3324","layer":4},{"info":"number node, value=1735","layer":4},{"info":"compute binary expreesion, left_input=3324, right_input=1735, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=860443","layer":3},{"info":"compute binary expreesion, left_input=1728, right_input=860443, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=860443","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=860443, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↥(≮⫘↔1101011010101≭≮⫘↔100101101000)⋝⋈⪟≮⫘↔111111001101⪢≮⫘↔10100000010⨐⩸⫘≮⫘↔110010000011⨰≮⫘↔10111001101⨎≮⫘↔110011111100≎⊠⪸≮⫘↔11011000111=NaN","reverse_text":"NaN=↥(≮⫘↔1101011010101≭≮⫘↔100101101000)⋝⋈⪟≮⫘↔111111001101⪢≮⫘↔10100000010⨐⩸⫘≮⫘↔110010000011⨰≮⫘↔10111001101⨎≮⫘↔110011111100≎⊠⪸≮⫘↔11011000111","cot":[{"info":"≮⫘↔1101011010101≭≮⫘↔100101101000=NaN","layer":3},{"info":"≮⫘↔111111001101⪢≮⫘↔10100000010=NaN","layer":3},{"info":"NaN⋝⋈⪟NaN=NaN","layer":2},{"info":"≮⫘↔110010000011⨰≮⫘↔10111001101=≮⫘↔11011000000","layer":3},{"info":"≮⫘↔110011111100≎⊠⪸≮⫘↔11011000111=≮⫘↔11010010000100011011","layer":3},{"info":"≮⫘↔11011000000⨎≮⫘↔11010010000100011011=≮⫘↔11010010000100011011","layer":2},{"info":"NaN⨐⩸⫘≮⫘↔11010010000100011011=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":96,"expression_no_base_symbol":"⨵≀≌((≦∁($2639$+$5382$))*(($4628$*$2347$)≣⋋))","expression":"⨵≀≌((≦∁(≮⫘↔101001001111+≮⫘↔1010100000110))*((≮⫘↔1001000010100*≮⫘↔100100101011)≣⋋))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2867,"operation_count":6,"complexity_ratio":477.8333333333333,"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":2639,"base":2},"right_expr":{"type":"numeric_atoms","value":5382,"base":2}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4628,"base":2},"right_expr":{"type":"numeric_atoms","value":2347,"base":2}}}}},"used_operators":["srAu1WTS94","9HNa5Wba9A","9ICcGScMcE","W4YGzv6Whe","Tcnh7f0tEr"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2639","layer":4},{"info":"number node, value=5382","layer":4},{"info":"compute binary expreesion, left_input=2639, right_input=5382, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8021","layer":3},{"info":"compute unary expreesion, input=8021, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=8021","layer":2},{"info":"number node, value=4628","layer":4},{"info":"number node, value=2347","layer":4},{"info":"compute binary expreesion, left_input=4628, right_input=2347, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10861916","layer":3},{"info":"compute unary expreesion, input=10861916, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8021, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⨵≀≌((≦∁(≮⫘↔101001001111+≮⫘↔1010100000110))*((≮⫘↔1001000010100*≮⫘↔100100101011)≣⋋))=NaN","reverse_text":"NaN=⨵≀≌((≦∁(≮⫘↔101001001111+≮⫘↔1010100000110))*((≮⫘↔1001000010100*≮⫘↔100100101011)≣⋋))","cot":[{"info":"≮⫘↔101001001111+≮⫘↔1010100000110=≮⫘↔1111101010101","layer":3},{"info":"≦∁≮⫘↔1111101010101=≮⫘↔1111101010101","layer":2},{"info":"≮⫘↔1001000010100*≮⫘↔100100101011=≮⫘↔101001011011110101011100","layer":3},{"info":"≮⫘↔101001011011110101011100≣⋋=NaN","layer":2},{"info":"≮⫘↔1111101010101*NaN=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":97,"expression_no_base_symbol":"(($5052$⩷∴$6765$↪⪝)%$2745$⩚⊴⇥$4603$⩚⊴⇥(≦∁$1936$))⊭↱(+⊝⨔(($1790$⨽$2414$)⪘⫢$3479$≹⇙⪍$3888$))","expression":"((≮⫘↔1001110111100⩷∴≮⫘↔1101001101101↪⪝)%≮⫘↔101010111001⩚⊴⇥≮⫘↔1000111111011⩚⊴⇥(≦∁≮⫘↔11110010000))⊭↱(+⊝⨔((≮⫘↔11011111110⨽≮⫘↔100101101110)⪘⫢≮⫘↔110110010111≹⇙⪍≮⫘↔111100110000))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":41640,"operation_count":11,"complexity_ratio":3785.4545454545455,"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":5052,"base":2},"right_expr":{"type":"numeric_atoms","value":6765,"base":2}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2745,"base":2},"right_expr":{"type":"numeric_atoms","value":4603,"base":2}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1936,"base":2}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1790,"base":2},"right_expr":{"type":"numeric_atoms","value":2414,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3479,"base":2},"right_expr":{"type":"numeric_atoms","value":3888,"base":2}}}}},"used_operators":["COABgblf1C","k8jYdgA6NY","l07mrZUIn9","9FxExcQeMw","NTOWxs364D","9ICcGScMcE","DhbWaqg5eL","oacrs7FA3X","8HhzD0ZcuI","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9"],"result":"≮⫘↔-1001100000111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5052","layer":4},{"info":"number node, value=6765","layer":4},{"info":"compute binary expreesion, left_input=5052, right_input=6765, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3458","layer":3},{"info":"compute unary expreesion, input=-3458, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-211567356","layer":2},{"info":"number node, value=2745","layer":4},{"info":"number node, value=4603","layer":4},{"info":"compute binary expreesion, left_input=2745, right_input=4603, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7469","layer":3},{"info":"number node, value=1936","layer":4},{"info":"compute unary expreesion, input=1936, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1936","layer":3},{"info":"compute binary expreesion, left_input=-7469, right_input=1936, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=5412","layer":2},{"info":"compute binary expreesion, left_input=-211567356, right_input=5412, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3960","layer":1},{"info":"number node, value=1790","layer":4},{"info":"number node, value=2414","layer":4},{"info":"compute binary expreesion, left_input=1790, right_input=2414, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9618228","layer":3},{"info":"number node, value=3479","layer":4},{"info":"number node, value=3888","layer":4},{"info":"compute binary expreesion, left_input=3479, right_input=3888, 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=-9618228, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute binary expreesion, left_input=3960, right_input=1522, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4871","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001110111100⩷∴≮⫘↔1101001101101↪⪝)%≮⫘↔101010111001⩚⊴⇥≮⫘↔1000111111011⩚⊴⇥(≦∁≮⫘↔11110010000))⊭↱(+⊝⨔((≮⫘↔11011111110⨽≮⫘↔100101101110)⪘⫢≮⫘↔110110010111≹⇙⪍≮⫘↔111100110000))=≮⫘↔-1001100000111","reverse_text":"≮⫘↔-1001100000111=((≮⫘↔1001110111100⩷∴≮⫘↔1101001101101↪⪝)%≮⫘↔101010111001⩚⊴⇥≮⫘↔1000111111011⩚⊴⇥(≦∁≮⫘↔11110010000))⊭↱(+⊝⨔((≮⫘↔11011111110⨽≮⫘↔100101101110)⪘⫢≮⫘↔110110010111≹⇙⪍≮⫘↔111100110000))","cot":[{"info":"≮⫘↔1001110111100⩷∴≮⫘↔1101001101101=≮⫘↔-110110000010","layer":3},{"info":"≮⫘↔-110110000010↪⪝=≮⫘↔-1100100111000100001011111100","layer":2},{"info":"≮⫘↔101010111001⩚⊴⇥≮⫘↔1000111111011=≮⫘↔-1110100101101","layer":3},{"info":"≦∁≮⫘↔11110010000=≮⫘↔11110010000","layer":3},{"info":"≮⫘↔-1110100101101⩚⊴⇥≮⫘↔11110010000=≮⫘↔1010100100100","layer":2},{"info":"≮⫘↔-1100100111000100001011111100%≮⫘↔1010100100100=≮⫘↔111101111000","layer":1},{"info":"≮⫘↔11011111110⨽≮⫘↔100101101110=≮⫘↔-100100101100001100110100","layer":3},{"info":"≮⫘↔110110010111≹⇙⪍≮⫘↔111100110000=NaN","layer":3},{"info":"≮⫘↔-100100101100001100110100⪘⫢NaN=NaN","layer":2},{"info":"+⊝⨔NaN=≮⫘↔10111110010","layer":1},{"info":"≮⫘↔111101111000⊭↱≮⫘↔10111110010=≮⫘↔-1001100000111","layer":0}]}
{"id":98,"expression_no_base_symbol":"($1711$/$6354$)∑⇟⊟$5311$∀⇚≩$6990$⨐⩸⫘(($5274$≋⫹)↪⪝)⪨≂(⨈⫕($1151$⨸⪁$1095$⊭↱(⊙↵-$1941$)))","expression":"(≮⫘↔11010101111/≮⫘↔1100011010010)∑⇟⊟≮⫘↔1010010111111∀⇚≩≮⫘↔1101101001110⨐⩸⫘((≮⫘↔1010010011010≋⫹)↪⪝)⪨≂(⨈⫕(≮⫘↔10001111111⨸⪁≮⫘↔10001000111⊭↱(⊙↵-≮⫘↔11110010101)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":40270,"operation_count":11,"complexity_ratio":3660.909090909091,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1711,"base":2},"right_expr":{"type":"numeric_atoms","value":6354,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5311,"base":2},"right_expr":{"type":"numeric_atoms","value":6990,"base":2}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":5274,"base":2}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1151,"base":2},"right_expr":{"type":"numeric_atoms","value":1095,"base":2}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1941,"base":2}}}}},"used_operators":["sdazOOVcIp","fu6greOZ01","U7g4x0WXJJ","XhwjNDsVaA","LRNGc0VcxI","l07mrZUIn9","N41Kp7NANJ","megm06wKyl","COABgblf1C","g55IO6H4Gj","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","X99M06cbEe","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1711","layer":4},{"info":"number node, value=6354","layer":4},{"info":"compute binary expreesion, left_input=1711, right_input=6354, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=5311","layer":4},{"info":"number node, value=6990","layer":4},{"info":"compute binary expreesion, left_input=5311, right_input=6990, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=5274","layer":4},{"info":"compute unary expreesion, input=5274, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-10548","layer":3},{"info":"compute unary expreesion, input=-10548, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-645347736","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-645347736, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1151","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=1095, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4492","layer":3},{"info":"number node, value=1941","layer":4},{"info":"compute unary expreesion, input=1941, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=4492, right_input=-1, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-8981","layer":2},{"info":"compute unary expreesion, input=-8981, 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 = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11010101111/≮⫘↔1100011010010)∑⇟⊟≮⫘↔1010010111111∀⇚≩≮⫘↔1101101001110⨐⩸⫘((≮⫘↔1010010011010≋⫹)↪⪝)⪨≂(⨈⫕(≮⫘↔10001111111⨸⪁≮⫘↔10001000111⊭↱(⊙↵-≮⫘↔11110010101)))=NaN","reverse_text":"NaN=(≮⫘↔11010101111/≮⫘↔1100011010010)∑⇟⊟≮⫘↔1010010111111∀⇚≩≮⫘↔1101101001110⨐⩸⫘((≮⫘↔1010010011010≋⫹)↪⪝)⪨≂(⨈⫕(≮⫘↔10001111111⨸⪁≮⫘↔10001000111⊭↱(⊙↵-≮⫘↔11110010101)))","cot":[{"info":"≮⫘↔11010101111/≮⫘↔1100011010010=≮⫘↔0","layer":3},{"info":"≮⫘↔1010010111111∀⇚≩≮⫘↔1101101001110=NaN","layer":3},{"info":"≮⫘↔0∑⇟⊟NaN=NaN","layer":2},{"info":"≮⫘↔1010010011010≋⫹=≮⫘↔-10100100110100","layer":3},{"info":"≮⫘↔-10100100110100↪⪝=≮⫘↔-100110011101110011100110011000","layer":2},{"info":"NaN⨐⩸⫘≮⫘↔-100110011101110011100110011000=NaN","layer":1},{"info":"≮⫘↔10001111111⨸⪁≮⫘↔10001000111=≮⫘↔1000110001100","layer":3},{"info":"⊙↵-≮⫘↔11110010101=≮⫘↔-1","layer":3},{"info":"≮⫘↔1000110001100⊭↱≮⫘↔-1=≮⫘↔-10001100010101","layer":2},{"info":"⨈⫕≮⫘↔-10001100010101=≮⫘↔-10101","layer":1},{"info":"NaN⪨≂≮⫘↔-10101=NaN","layer":0}]}
{"id":99,"expression_no_base_symbol":"(⩦⩻⨪(∥⊫$5495$))⋓(⫛⫱⨽($1650$⊭↱$7451$))↙(($7025$∲⫓$4835$)⨐⩸⫘$2552$⇷$8736$%(↔($4664$⨐⩸⫘$1062$)))","expression":"(⩦⩻⨪(∥⊫≮⫘↔1010101110111))⋓(⫛⫱⨽(≮⫘↔11001110010⊭↱≮⫘↔1110100011011))↙((≮⫘↔1101101110001∲⫓≮⫘↔1001011100011)⨐⩸⫘≮⫘↔100111111000⇷≮⫘↔10001000100000%(↔(≮⫘↔1001000111000⨐⩸⫘≮⫘↔10000100110)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":37210,"operation_count":12,"complexity_ratio":3100.8333333333335,"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":5495,"base":2}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1650,"base":2},"right_expr":{"type":"numeric_atoms","value":7451,"base":2}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":7025,"base":2},"right_expr":{"type":"numeric_atoms","value":4835,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2552,"base":2},"right_expr":{"type":"numeric_atoms","value":8736,"base":2}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4664,"base":2},"right_expr":{"type":"numeric_atoms","value":1062,"base":2}}}}},"used_operators":["yyfyN0ffXY","T2fj7uvVaJ","2td37pGCOC","P8v4zCKN1o","DlLNRPXxWL","COABgblf1C","k8jYdgA6NY","fu6greOZ01","i8ToyICDmI","mp7IySMOzn","ruOEQAzv1W"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5495","layer":4},{"info":"compute unary expreesion, input=5495, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6363","layer":3},{"info":"compute unary expreesion, input=6363, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6363","layer":2},{"info":"number node, value=1650","layer":4},{"info":"number node, value=7451","layer":4},{"info":"compute binary expreesion, left_input=1650, right_input=7451, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=11607","layer":3},{"info":"compute unary expreesion, input=11607, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=6363, 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":1},{"info":"number node, value=7025","layer":4},{"info":"number node, value=4835","layer":4},{"info":"compute binary expreesion, left_input=7025, right_input=4835, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2552","layer":4},{"info":"number node, value=8736","layer":4},{"info":"compute binary expreesion, left_input=2552, right_input=8736, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=17472","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=17472, 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=4664","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=4664, right_input=1062, 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 = 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=nan, right_input=-134, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(⩦⩻⨪(∥⊫≮⫘↔1010101110111))⋓(⫛⫱⨽(≮⫘↔11001110010⊭↱≮⫘↔1110100011011))↙((≮⫘↔1101101110001∲⫓≮⫘↔1001011100011)⨐⩸⫘≮⫘↔100111111000⇷≮⫘↔10001000100000%(↔(≮⫘↔1001000111000⨐⩸⫘≮⫘↔10000100110)))=≮⫘↔0","reverse_text":"≮⫘↔0=(⩦⩻⨪(∥⊫≮⫘↔1010101110111))⋓(⫛⫱⨽(≮⫘↔11001110010⊭↱≮⫘↔1110100011011))↙((≮⫘↔1101101110001∲⫓≮⫘↔1001011100011)⨐⩸⫘≮⫘↔100111111000⇷≮⫘↔10001000100000%(↔(≮⫘↔1001000111000⨐⩸⫘≮⫘↔10000100110)))","cot":[{"info":"∥⊫≮⫘↔1010101110111=≮⫘↔1100011011011","layer":3},{"info":"⩦⩻⨪≮⫘↔1100011011011=≮⫘↔1100011011011","layer":2},{"info":"≮⫘↔11001110010⊭↱≮⫘↔1110100011011=≮⫘↔10110101010111","layer":3},{"info":"⫛⫱⨽≮⫘↔10110101010111=≮⫘↔0","layer":2},{"info":"≮⫘↔1100011011011⋓≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔1101101110001∲⫓≮⫘↔1001011100011=≮⫘↔0","layer":3},{"info":"≮⫘↔100111111000⇷≮⫘↔10001000100000=≮⫘↔100010001000000","layer":3},{"info":"≮⫘↔0⨐⩸⫘≮⫘↔100010001000000=NaN","layer":2},{"info":"≮⫘↔1001000111000⨐⩸⫘≮⫘↔10000100110=NaN","layer":3},{"info":"↔NaN=≮⫘↔-10000110","layer":2},{"info":"NaN%≮⫘↔-10000110=NaN","layer":1},{"info":"≮⫘↔0↙NaN=≮⫘↔0","layer":0}]}
{"id":100,"expression_no_base_symbol":"($1316$⨰$1648$)⪮%⊝(⪲⇎$1685$)≎⊠⪸($1199$⫸⊐$1088$)⊴$2934$≹⇙⪍$5098$+(↔($3917$⊉≛↸$8051$))+⇶⊼($1381$*$5546$)≹⇙⪍($8601$%$2787$)","expression":"(≮⫘↔10100100100⨰≮⫘↔11001110000)⪮%⊝(⪲⇎≮⫘↔11010010101)≎⊠⪸(≮⫘↔10010101111⫸⊐≮⫘↔10001000000)⊴≮⫘↔101101110110≹⇙⪍≮⫘↔1001111101010+(↔(≮⫘↔111101001101⊉≛↸≮⫘↔1111101110011))+⇶⊼(≮⫘↔10101100101*≮⫘↔1010110101010)≹⇙⪍(≮⫘↔10000110011001%≮⫘↔101011100011)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4611187,"operation_count":14,"complexity_ratio":329370.5,"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":1316,"base":2},"right_expr":{"type":"numeric_atoms","value":1648,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1685,"base":2}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1199,"base":2},"right_expr":{"type":"numeric_atoms","value":1088,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2934,"base":2},"right_expr":{"type":"numeric_atoms","value":5098,"base":2}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3917,"base":2},"right_expr":{"type":"numeric_atoms","value":8051,"base":2}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1381,"base":2},"right_expr":{"type":"numeric_atoms","value":5546,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":8601,"base":2},"right_expr":{"type":"numeric_atoms","value":2787,"base":2}}}}},"used_operators":["W4YGzv6Whe","bJkvcejdHO","IWmyXbctLI","eewbuw0ToL","XPYlsWDdGa","Nsiff2A1zJ","mqXw5SEYmG","AHs5Up7iyr","TpPTUOHfaN","ruOEQAzv1W","DZ8iAZOCBD","9HNa5Wba9A","k8jYdgA6NY"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1316","layer":4},{"info":"number node, value=1648","layer":4},{"info":"compute binary expreesion, left_input=1316, right_input=1648, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-322","layer":3},{"info":"number node, value=1685","layer":4},{"info":"compute unary expreesion, input=1685, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3370","layer":3},{"info":"compute binary expreesion, left_input=-322, right_input=3370, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-328","layer":2},{"info":"number node, value=1199","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=1088, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4227","layer":3},{"info":"number node, value=2934","layer":4},{"info":"number node, value=5098","layer":4},{"info":"compute binary expreesion, left_input=2934, right_input=5098, 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=4227, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-328, 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=3917","layer":4},{"info":"number node, value=8051","layer":4},{"info":"compute binary expreesion, left_input=3917, right_input=8051, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7834","layer":3},{"info":"compute unary expreesion, input=7834, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-7561","layer":2},{"info":"number node, value=1381","layer":4},{"info":"number node, value=5546","layer":4},{"info":"compute binary expreesion, left_input=1381, right_input=5546, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7659026","layer":3},{"info":"number node, value=8601","layer":4},{"info":"number node, value=2787","layer":4},{"info":"compute binary expreesion, left_input=8601, right_input=2787, op_id = k8jYdgA6NY binary_op_definition= 'None', output=240","layer":3},{"info":"compute binary expreesion, left_input=7659026, right_input=240, 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=-7561, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10100100100⨰≮⫘↔11001110000)⪮%⊝(⪲⇎≮⫘↔11010010101)≎⊠⪸(≮⫘↔10010101111⫸⊐≮⫘↔10001000000)⊴≮⫘↔101101110110≹⇙⪍≮⫘↔1001111101010+(↔(≮⫘↔111101001101⊉≛↸≮⫘↔1111101110011))+⇶⊼(≮⫘↔10101100101*≮⫘↔1010110101010)≹⇙⪍(≮⫘↔10000110011001%≮⫘↔101011100011)=NaN","reverse_text":"NaN=(≮⫘↔10100100100⨰≮⫘↔11001110000)⪮%⊝(⪲⇎≮⫘↔11010010101)≎⊠⪸(≮⫘↔10010101111⫸⊐≮⫘↔10001000000)⊴≮⫘↔101101110110≹⇙⪍≮⫘↔1001111101010+(↔(≮⫘↔111101001101⊉≛↸≮⫘↔1111101110011))+⇶⊼(≮⫘↔10101100101*≮⫘↔1010110101010)≹⇙⪍(≮⫘↔10000110011001%≮⫘↔101011100011)","cot":[{"info":"≮⫘↔10100100100⨰≮⫘↔11001110000=≮⫘↔-101000010","layer":3},{"info":"⪲⇎≮⫘↔11010010101=≮⫘↔110100101010","layer":3},{"info":"≮⫘↔-101000010⪮%⊝≮⫘↔110100101010=≮⫘↔-101001000","layer":2},{"info":"≮⫘↔10010101111⫸⊐≮⫘↔10001000000=≮⫘↔1000010000011","layer":3},{"info":"≮⫘↔101101110110≹⇙⪍≮⫘↔1001111101010=NaN","layer":3},{"info":"≮⫘↔1000010000011⊴NaN=NaN","layer":2},{"info":"≮⫘↔-101001000≎⊠⪸NaN=≮⫘↔1000011","layer":1},{"info":"≮⫘↔111101001101⊉≛↸≮⫘↔1111101110011=≮⫘↔1111010011010","layer":3},{"info":"↔≮⫘↔1111010011010=≮⫘↔-1110110001001","layer":2},{"info":"≮⫘↔10101100101*≮⫘↔1010110101010=≮⫘↔11101001101111000010010","layer":3},{"info":"≮⫘↔10000110011001%≮⫘↔101011100011=≮⫘↔11110000","layer":3},{"info":"≮⫘↔11101001101111000010010≹⇙⪍≮⫘↔11110000=NaN","layer":2},{"info":"≮⫘↔-1110110001001+⇶⊼NaN=NaN","layer":1},{"info":"≮⫘↔1000011+NaN=NaN","layer":0}]}
{"id":101,"expression_no_base_symbol":"(($2648$%$1499$)⪄(⨰⫟⨤$2678$))↙(($2848$⫡⨏$6505$)⨳⩥⨓($5103$*$1301$))∲⫓($1214$⩷∴$2074$)∀⇚≩($3422$⪄$4026$)≎⊠⪸($2184$⋓$1485$⨐⩸⫘$2426$⨓$1140$)","expression":"((≮⫘↔101001011000%≮⫘↔10111011011)⪄(⨰⫟⨤≮⫘↔101001110110))↙((≮⫘↔101100100000⫡⨏≮⫘↔1100101101001)⨳⩥⨓(≮⫘↔1001111101111*≮⫘↔10100010101))∲⫓(≮⫘↔10010111110⩷∴≮⫘↔100000011010)∀⇚≩(≮⫘↔110101011110⪄≮⫘↔111110111010)≎⊠⪸(≮⫘↔100010001000⋓≮⫘↔10111001101⨐⩸⫘≮⫘↔100101111010⨓≮⫘↔10001110100)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":24816,"operation_count":15,"complexity_ratio":1654.4,"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":2648,"base":2},"right_expr":{"type":"numeric_atoms","value":1499,"base":2}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2678,"base":2}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2848,"base":2},"right_expr":{"type":"numeric_atoms","value":6505,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5103,"base":2},"right_expr":{"type":"numeric_atoms","value":1301,"base":2}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1214,"base":2},"right_expr":{"type":"numeric_atoms","value":2074,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3422,"base":2},"right_expr":{"type":"numeric_atoms","value":4026,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2184,"base":2},"right_expr":{"type":"numeric_atoms","value":1485,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2426,"base":2},"right_expr":{"type":"numeric_atoms","value":1140,"base":2}}}}},"used_operators":["i8ToyICDmI","yyfyN0ffXY","SUmda5xLS4","k8jYdgA6NY","Tw270M8GLb","nCS4ZIUYfx","QMFrweE19q","9HNa5Wba9A","bJkvcejdHO","LRNGc0VcxI","9FxExcQeMw","fu6greOZ01","T2fj7uvVaJ","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","X99M06cbEe","rysDP5nf3Z","3ViojmjbAp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2648","layer":4},{"info":"number node, value=1499","layer":4},{"info":"compute binary expreesion, left_input=2648, right_input=1499, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1149","layer":3},{"info":"number node, value=2678","layer":4},{"info":"compute unary expreesion, input=2678, 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=1149, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":2},{"info":"number node, value=2848","layer":4},{"info":"number node, value=6505","layer":4},{"info":"compute binary expreesion, left_input=2848, right_input=6505, 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=28033","layer":3},{"info":"number node, value=5103","layer":4},{"info":"number node, value=1301","layer":4},{"info":"compute binary expreesion, left_input=5103, right_input=1301, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6639003","layer":3},{"info":"compute binary expreesion, left_input=28033, right_input=6639003, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=6610970","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6610970, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=1214","layer":4},{"info":"number node, value=2074","layer":4},{"info":"compute binary expreesion, left_input=1214, right_input=2074, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1752","layer":3},{"info":"number node, value=3422","layer":4},{"info":"number node, value=4026","layer":4},{"info":"compute binary expreesion, left_input=3422, right_input=4026, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-518649","layer":3},{"info":"compute binary expreesion, left_input=-1752, right_input=-518649, 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=2184","layer":4},{"info":"number node, value=1485","layer":4},{"info":"compute binary expreesion, left_input=2184, right_input=1485, 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=2426","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=2426, right_input=1140, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1143","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1143, 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=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":"compute binary expreesion, left_input=nan, right_input=67, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101001011000%≮⫘↔10111011011)⪄(⨰⫟⨤≮⫘↔101001110110))↙((≮⫘↔101100100000⫡⨏≮⫘↔1100101101001)⨳⩥⨓(≮⫘↔1001111101111*≮⫘↔10100010101))∲⫓(≮⫘↔10010111110⩷∴≮⫘↔100000011010)∀⇚≩(≮⫘↔110101011110⪄≮⫘↔111110111010)≎⊠⪸(≮⫘↔100010001000⋓≮⫘↔10111001101⨐⩸⫘≮⫘↔100101111010⨓≮⫘↔10001110100)=NaN","reverse_text":"NaN=((≮⫘↔101001011000%≮⫘↔10111011011)⪄(⨰⫟⨤≮⫘↔101001110110))↙((≮⫘↔101100100000⫡⨏≮⫘↔1100101101001)⨳⩥⨓(≮⫘↔1001111101111*≮⫘↔10100010101))∲⫓(≮⫘↔10010111110⩷∴≮⫘↔100000011010)∀⇚≩(≮⫘↔110101011110⪄≮⫘↔111110111010)≎⊠⪸(≮⫘↔100010001000⋓≮⫘↔10111001101⨐⩸⫘≮⫘↔100101111010⨓≮⫘↔10001110100)","cot":[{"info":"≮⫘↔101001011000%≮⫘↔10111011011=≮⫘↔10001111101","layer":3},{"info":"⨰⫟⨤≮⫘↔101001110110=NaN","layer":3},{"info":"≮⫘↔10001111101⪄NaN=NaN","layer":2},{"info":"≮⫘↔101100100000⫡⨏≮⫘↔1100101101001=≮⫘↔110110110000001","layer":3},{"info":"≮⫘↔1001111101111*≮⫘↔10100010101=≮⫘↔11001010100110110011011","layer":3},{"info":"≮⫘↔110110110000001⨳⩥⨓≮⫘↔11001010100110110011011=≮⫘↔11001001110000000011010","layer":2},{"info":"NaN↙≮⫘↔11001001110000000011010=NaN","layer":1},{"info":"≮⫘↔10010111110⩷∴≮⫘↔100000011010=≮⫘↔-11011011000","layer":3},{"info":"≮⫘↔110101011110⪄≮⫘↔111110111010=≮⫘↔-1111110100111111001","layer":3},{"info":"≮⫘↔-11011011000∀⇚≩≮⫘↔-1111110100111111001=NaN","layer":2},{"info":"≮⫘↔100010001000⋓≮⫘↔10111001101=≮⫘↔0","layer":3},{"info":"≮⫘↔100101111010⨓≮⫘↔10001110100=≮⫘↔-10001110111","layer":3},{"info":"≮⫘↔0⨐⩸⫘≮⫘↔-10001110111=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=≮⫘↔1000011","layer":1},{"info":"NaN∲⫓≮⫘↔1000011=NaN","layer":0}]}
{"id":102,"expression_no_base_symbol":"((⨑⩽⪐$1232$⊴$2187$)⊉≛↸$5107$≹⇙⪍$5584$⊴($1330$⊠≄⫣))⩷∴($2979$⨪↰⇹$5314$)⨟⋌⩍($9328$⩨$3150$)⇷($3393$↬$3275$⨽$2250$⩚⊴⇥$1353$)","expression":"((⨑⩽⪐≮⫘↔10011010000⊴≮⫘↔100010001011)⊉≛↸≮⫘↔1001111110011≹⇙⪍≮⫘↔1010111010000⊴(≮⫘↔10100110010⊠≄⫣))⩷∴(≮⫘↔101110100011⨪↰⇹≮⫘↔1010011000010)⨟⋌⩍(≮⫘↔10010001110000⩨≮⫘↔110001001110)⇷(≮⫘↔110101000001↬≮⫘↔110011001011⨽≮⫘↔100011001010⩚⊴⇥≮⫘↔10101001001)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":46929,"operation_count":14,"complexity_ratio":3352.0714285714284,"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":1232,"base":2},"right_expr":{"type":"numeric_atoms","value":2187,"base":2}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5107,"base":2},"right_expr":{"type":"numeric_atoms","value":5584,"base":2}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1330,"base":2}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2979,"base":2},"right_expr":{"type":"numeric_atoms","value":5314,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":9328,"base":2},"right_expr":{"type":"numeric_atoms","value":3150,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3393,"base":2},"right_expr":{"type":"numeric_atoms","value":3275,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2250,"base":2},"right_expr":{"type":"numeric_atoms","value":1353,"base":2}}}}},"used_operators":["9FxExcQeMw","DZ8iAZOCBD","AF7qkfDlqP","Nsiff2A1zJ","AHs5Up7iyr","DIvbN7qnHd","mp7IySMOzn","rGHVDoGpnC","tmPS8pqC7x","2DlMacCsIx","8HhzD0ZcuI","B5M0gjZbta","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Tcnh7f0tEr","rJVOvQCfKK","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1232","layer":4},{"info":"number node, value=2187","layer":4},{"info":"compute binary expreesion, left_input=1232, right_input=2187, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":"number node, value=5107","layer":4},{"info":"number node, value=5584","layer":4},{"info":"compute binary expreesion, left_input=5107, right_input=5584, 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=1330","layer":4},{"info":"compute unary expreesion, input=1330, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-79, 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=2979","layer":4},{"info":"number node, value=5314","layer":4},{"info":"compute binary expreesion, left_input=2979, right_input=5314, 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=2979","layer":3},{"info":"number node, value=9328","layer":4},{"info":"number node, value=3150","layer":4},{"info":"compute binary expreesion, left_input=9328, right_input=3150, 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=2979, 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=2979","layer":2},{"info":"number node, value=3393","layer":4},{"info":"number node, value=3275","layer":4},{"info":"compute binary expreesion, left_input=3393, right_input=3275, 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=2250","layer":4},{"info":"number node, value=1353","layer":4},{"info":"compute binary expreesion, left_input=2250, right_input=1353, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3724","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3724, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2979, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨑⩽⪐≮⫘↔10011010000⊴≮⫘↔100010001011)⊉≛↸≮⫘↔1001111110011≹⇙⪍≮⫘↔1010111010000⊴(≮⫘↔10100110010⊠≄⫣))⩷∴(≮⫘↔101110100011⨪↰⇹≮⫘↔1010011000010)⨟⋌⩍(≮⫘↔10010001110000⩨≮⫘↔110001001110)⇷(≮⫘↔110101000001↬≮⫘↔110011001011⨽≮⫘↔100011001010⩚⊴⇥≮⫘↔10101001001)=NaN","reverse_text":"NaN=((⨑⩽⪐≮⫘↔10011010000⊴≮⫘↔100010001011)⊉≛↸≮⫘↔1001111110011≹⇙⪍≮⫘↔1010111010000⊴(≮⫘↔10100110010⊠≄⫣))⩷∴(≮⫘↔101110100011⨪↰⇹≮⫘↔1010011000010)⨟⋌⩍(≮⫘↔10010001110000⩨≮⫘↔110001001110)⇷(≮⫘↔110101000001↬≮⫘↔110011001011⨽≮⫘↔100011001010⩚⊴⇥≮⫘↔10101001001)","cot":[{"info":"≮⫘↔10011010000⊴≮⫘↔100010001011=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"≮⫘↔1001111110011≹⇙⪍≮⫘↔1010111010000=NaN","layer":3},{"info":"≮⫘↔10100110010⊠≄⫣=≮⫘↔0","layer":3},{"info":"NaN⊴≮⫘↔0=≮⫘↔-1001111","layer":2},{"info":"NaN⊉≛↸≮⫘↔-1001111=NaN","layer":1},{"info":"≮⫘↔101110100011⨪↰⇹≮⫘↔1010011000010=≮⫘↔101110100011","layer":3},{"info":"≮⫘↔10010001110000⩨≮⫘↔110001001110=≮⫘↔0","layer":3},{"info":"≮⫘↔101110100011⨟⋌⩍≮⫘↔0=≮⫘↔101110100011","layer":2},{"info":"≮⫘↔110101000001↬≮⫘↔110011001011=NaN","layer":3},{"info":"≮⫘↔100011001010⩚⊴⇥≮⫘↔10101001001=≮⫘↔-111010001100","layer":3},{"info":"NaN⨽≮⫘↔-111010001100=NaN","layer":2},{"info":"≮⫘↔101110100011⇷NaN=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":103,"expression_no_base_symbol":"(($1390$⫡⨏$2128$)⪒(⨑⩽⪐$4571$))⪢($3843$⨳⩥⨓$2258$⪨≂($2615$⫡⨏$5016$))⫸⊐($8000$⊭↱$2419$)∼($1024$⪛$2284$)⪛($9072$⩚⊴⇥$3650$⊭↱($5009$/$3681$))","expression":"((≮⫘↔10101101110⫡⨏≮⫘↔100001010000)⪒(⨑⩽⪐≮⫘↔1000111011011))⪢(≮⫘↔111100000011⨳⩥⨓≮⫘↔100011010010⪨≂(≮⫘↔101000110111⫡⨏≮⫘↔1001110011000))⫸⊐(≮⫘↔1111101000000⊭↱≮⫘↔100101110011)∼(≮⫘↔10000000000⪛≮⫘↔100011101100)⪛(≮⫘↔10001101110000⩚⊴⇥≮⫘↔111001000010⊭↱(≮⫘↔1001110010001/≮⫘↔111001100001))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":51125,"operation_count":15,"complexity_ratio":3408.3333333333335,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1390,"base":2},"right_expr":{"type":"numeric_atoms","value":2128,"base":2}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4571,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3843,"base":2},"right_expr":{"type":"numeric_atoms","value":2258,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2615,"base":2},"right_expr":{"type":"numeric_atoms","value":5016,"base":2}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":8000,"base":2},"right_expr":{"type":"numeric_atoms","value":2419,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1024,"base":2},"right_expr":{"type":"numeric_atoms","value":2284,"base":2}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":9072,"base":2},"right_expr":{"type":"numeric_atoms","value":3650,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5009,"base":2},"right_expr":{"type":"numeric_atoms","value":3681,"base":2}}}}},"used_operators":["mqXw5SEYmG","dWAJyo7jo9","f6k1SAg4EE","QMFrweE19q","AF7qkfDlqP","sdazOOVcIp","nCS4ZIUYfx","uFcxV4UQCh","DyGG3AbaNP","COABgblf1C","NTOWxs364D","XhwjNDsVaA"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1390","layer":4},{"info":"number node, value=2128","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=2128, 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=11989","layer":3},{"info":"number node, value=4571","layer":4},{"info":"compute unary expreesion, input=4571, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4298","layer":3},{"info":"compute binary expreesion, left_input=11989, right_input=-4298, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7691","layer":2},{"info":"number node, value=3843","layer":4},{"info":"number node, value=2258","layer":4},{"info":"compute binary expreesion, left_input=3843, right_input=2258, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1585","layer":3},{"info":"number node, value=2615","layer":4},{"info":"number node, value=5016","layer":4},{"info":"compute binary expreesion, left_input=2615, right_input=5016, 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=23890","layer":3},{"info":"compute binary expreesion, left_input=-1585, right_input=23890, 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=-50848","layer":2},{"info":"compute binary expreesion, left_input=-7691, right_input=-50848, 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=8000","layer":4},{"info":"number node, value=2419","layer":4},{"info":"compute binary expreesion, left_input=8000, right_input=2419, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-11157","layer":3},{"info":"number node, value=1024","layer":4},{"info":"number node, value=2284","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=2284, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1024","layer":3},{"info":"compute binary expreesion, left_input=-11157, right_input=1024, 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=9072","layer":4},{"info":"number node, value=3650","layer":4},{"info":"compute binary expreesion, left_input=9072, right_input=3650, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-12843","layer":3},{"info":"number node, value=5009","layer":4},{"info":"number node, value=3681","layer":4},{"info":"compute binary expreesion, left_input=5009, right_input=3681, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-12843, right_input=1, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=25693","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=25693, 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 = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10101101110⫡⨏≮⫘↔100001010000)⪒(⨑⩽⪐≮⫘↔1000111011011))⪢(≮⫘↔111100000011⨳⩥⨓≮⫘↔100011010010⪨≂(≮⫘↔101000110111⫡⨏≮⫘↔1001110011000))⫸⊐(≮⫘↔1111101000000⊭↱≮⫘↔100101110011)∼(≮⫘↔10000000000⪛≮⫘↔100011101100)⪛(≮⫘↔10001101110000⩚⊴⇥≮⫘↔111001000010⊭↱(≮⫘↔1001110010001/≮⫘↔111001100001))=NaN","reverse_text":"NaN=((≮⫘↔10101101110⫡⨏≮⫘↔100001010000)⪒(⨑⩽⪐≮⫘↔1000111011011))⪢(≮⫘↔111100000011⨳⩥⨓≮⫘↔100011010010⪨≂(≮⫘↔101000110111⫡⨏≮⫘↔1001110011000))⫸⊐(≮⫘↔1111101000000⊭↱≮⫘↔100101110011)∼(≮⫘↔10000000000⪛≮⫘↔100011101100)⪛(≮⫘↔10001101110000⩚⊴⇥≮⫘↔111001000010⊭↱(≮⫘↔1001110010001/≮⫘↔111001100001))","cot":[{"info":"≮⫘↔10101101110⫡⨏≮⫘↔100001010000=≮⫘↔10111011010101","layer":3},{"info":"⨑⩽⪐≮⫘↔1000111011011=≮⫘↔-1000011001010","layer":3},{"info":"≮⫘↔10111011010101⪒≮⫘↔-1000011001010=≮⫘↔-1111000001011","layer":2},{"info":"≮⫘↔111100000011⨳⩥⨓≮⫘↔100011010010=≮⫘↔-11000110001","layer":3},{"info":"≮⫘↔101000110111⫡⨏≮⫘↔1001110011000=≮⫘↔101110101010010","layer":3},{"info":"≮⫘↔-11000110001⪨≂≮⫘↔101110101010010=≮⫘↔-1100011010100000","layer":2},{"info":"≮⫘↔-1111000001011⪢≮⫘↔-1100011010100000=NaN","layer":1},{"info":"≮⫘↔1111101000000⊭↱≮⫘↔100101110011=≮⫘↔-10101110010101","layer":3},{"info":"≮⫘↔10000000000⪛≮⫘↔100011101100=≮⫘↔10000000000","layer":3},{"info":"≮⫘↔-10101110010101∼≮⫘↔10000000000=NaN","layer":2},{"info":"≮⫘↔10001101110000⩚⊴⇥≮⫘↔111001000010=≮⫘↔-11001000101011","layer":3},{"info":"≮⫘↔1001110010001/≮⫘↔111001100001=≮⫘↔1","layer":3},{"info":"≮⫘↔-11001000101011⊭↱≮⫘↔1=≮⫘↔110010001011101","layer":2},{"info":"NaN⪛≮⫘↔110010001011101=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":104,"expression_no_base_symbol":"(($6096$⩚⊴⇥$5551$⩨($1652$⇼⇔∾$1978$))⩤)⨵⪆(⊙↵-($4351$+⇶⊼$1192$))⩨($1702$⪒$2236$)⇷(↣≠⋷$1227$)","expression":"((≮⫘↔1011111010000⩚⊴⇥≮⫘↔1010110101111⩨(≮⫘↔11001110100⇼⇔∾≮⫘↔11110111010))⩤)⨵⪆(⊙↵-(≮⫘↔1000011111111+⇶⊼≮⫘↔10010101000))⩨(≮⫘↔11010100110⪒≮⫘↔100010111100)⇷(↣≠⋷≮⫘↔10011001011)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":55187,"operation_count":11,"complexity_ratio":5017.0,"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":6096,"base":2},"right_expr":{"type":"numeric_atoms","value":5551,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1652,"base":2},"right_expr":{"type":"numeric_atoms","value":1978,"base":2}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4351,"base":2},"right_expr":{"type":"numeric_atoms","value":1192,"base":2}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1702,"base":2},"right_expr":{"type":"numeric_atoms","value":2236,"base":2}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1227,"base":2}}}}},"used_operators":["2DQ55sFlQl","Z2TMIBDE3Q","2DlMacCsIx","NTOWxs364D","tifHPKVTfV","oWn0xqSxBt","TpPTUOHfaN","mp7IySMOzn","f6k1SAg4EE","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6096","layer":4},{"info":"number node, value=5551","layer":4},{"info":"compute binary expreesion, left_input=6096, right_input=5551, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11768","layer":3},{"info":"number node, value=1652","layer":4},{"info":"number node, value=1978","layer":4},{"info":"compute binary expreesion, left_input=1652, right_input=1978, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=326","layer":3},{"info":"compute binary expreesion, left_input=-11768, right_input=326, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"compute unary expreesion, input=3, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3","layer":1},{"info":"number node, value=4351","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=4351, right_input=1192, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"number node, value=1702","layer":4},{"info":"number node, value=2236","layer":4},{"info":"compute binary expreesion, left_input=1702, right_input=2236, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3938","layer":3},{"info":"number node, value=1227","layer":4},{"info":"compute unary expreesion, input=1227, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3938, 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=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1011111010000⩚⊴⇥≮⫘↔1010110101111⩨(≮⫘↔11001110100⇼⇔∾≮⫘↔11110111010))⩤)⨵⪆(⊙↵-(≮⫘↔1000011111111+⇶⊼≮⫘↔10010101000))⩨(≮⫘↔11010100110⪒≮⫘↔100010111100)⇷(↣≠⋷≮⫘↔10011001011)=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=((≮⫘↔1011111010000⩚⊴⇥≮⫘↔1010110101111⩨(≮⫘↔11001110100⇼⇔∾≮⫘↔11110111010))⩤)⨵⪆(⊙↵-(≮⫘↔1000011111111+⇶⊼≮⫘↔10010101000))⩨(≮⫘↔11010100110⪒≮⫘↔100010111100)⇷(↣≠⋷≮⫘↔10011001011)","cot":[{"info":"≮⫘↔1011111010000⩚⊴⇥≮⫘↔1010110101111=≮⫘↔-10110111111000","layer":3},{"info":"≮⫘↔11001110100⇼⇔∾≮⫘↔11110111010=≮⫘↔101000110","layer":3},{"info":"≮⫘↔-10110111111000⩨≮⫘↔101000110=≮⫘↔11","layer":2},{"info":"≮⫘↔11⩤=≮⫘↔-11","layer":1},{"info":"≮⫘↔1000011111111+⇶⊼≮⫘↔10010101000=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"≮⫘↔11010100110⪒≮⫘↔100010111100=≮⫘↔-111101100010","layer":3},{"info":"↣≠⋷≮⫘↔10011001011=NaN","layer":3},{"info":"≮⫘↔-111101100010⇷NaN=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"≮⫘↔-11⨵⪆NaN=≮⫘↔10100000","layer":0}]}
{"id":105,"expression_no_base_symbol":"($2405$⨰$2447$↙($1542$⫸⊐$2254$)⪨≂($1834$-$2584$)⋳⪒($2978$⪒$3131$))⇼⇔∾((⫛⫱⨽($3355$∲⫓$1071$))∲⫓(⊄⩳↩$5083$)⫥∨⫟$2188$⪘⫢$2087$)","expression":"(≮⫘↔100101100101⨰≮⫘↔100110001111↙(≮⫘↔11000000110⫸⊐≮⫘↔100011001110)⪨≂(≮⫘↔11100101010-≮⫘↔101000011000)⋳⪒(≮⫘↔101110100010⪒≮⫘↔110000111011))⇼⇔∾((⫛⫱⨽(≮⫘↔110100011011∲⫓≮⫘↔10000101111))∲⫓(⊄⩳↩≮⫘↔1001111011011)⫥∨⫟≮⫘↔100010001100⪘⫢≮⫘↔100000100111)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1137,"operation_count":14,"complexity_ratio":81.21428571428571,"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":2405,"base":2},"right_expr":{"type":"numeric_atoms","value":2447,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1542,"base":2},"right_expr":{"type":"numeric_atoms","value":2254,"base":2}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1834,"base":2},"right_expr":{"type":"numeric_atoms","value":2584,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2978,"base":2},"right_expr":{"type":"numeric_atoms","value":3131,"base":2}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3355,"base":2},"right_expr":{"type":"numeric_atoms","value":1071,"base":2}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5083,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2188,"base":2},"right_expr":{"type":"numeric_atoms","value":2087,"base":2}}}}},"used_operators":["tifHPKVTfV","sdazOOVcIp","yyfyN0ffXY","eewbuw0ToL","mqXw5SEYmG","12rbrZMWeM","rysDP5nf3Z","f6k1SAg4EE","i8ToyICDmI","DlLNRPXxWL","KYD54nUTWz","8w2t5hMYqp","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2405","layer":4},{"info":"number node, value=2447","layer":4},{"info":"compute binary expreesion, left_input=2405, right_input=2447, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-32","layer":3},{"info":"number node, value=1542","layer":4},{"info":"number node, value=2254","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=2254, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8891","layer":3},{"info":"compute binary expreesion, left_input=-32, right_input=8891, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-32","layer":2},{"info":"number node, value=1834","layer":4},{"info":"number node, value=2584","layer":4},{"info":"compute binary expreesion, left_input=1834, right_input=2584, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-750","layer":3},{"info":"number node, value=2978","layer":4},{"info":"number node, value=3131","layer":4},{"info":"compute binary expreesion, left_input=2978, right_input=3131, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6109","layer":3},{"info":"compute binary expreesion, left_input=-750, right_input=-6109, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4322","layer":2},{"info":"compute binary expreesion, left_input=-32, right_input=4322, 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=-8606","layer":1},{"info":"number node, value=3355","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=3355, right_input=1071, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=5083","layer":4},{"info":"compute unary expreesion, input=5083, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-15249","layer":3},{"info":"number node, value=2188","layer":4},{"info":"number node, value=2087","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=2087, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4252","layer":3},{"info":"compute binary expreesion, left_input=-15249, right_input=4252, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=-8606, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100101100101⨰≮⫘↔100110001111↙(≮⫘↔11000000110⫸⊐≮⫘↔100011001110)⪨≂(≮⫘↔11100101010-≮⫘↔101000011000)⋳⪒(≮⫘↔101110100010⪒≮⫘↔110000111011))⇼⇔∾((⫛⫱⨽(≮⫘↔110100011011∲⫓≮⫘↔10000101111))∲⫓(⊄⩳↩≮⫘↔1001111011011)⫥∨⫟≮⫘↔100010001100⪘⫢≮⫘↔100000100111)=NaN","reverse_text":"NaN=(≮⫘↔100101100101⨰≮⫘↔100110001111↙(≮⫘↔11000000110⫸⊐≮⫘↔100011001110)⪨≂(≮⫘↔11100101010-≮⫘↔101000011000)⋳⪒(≮⫘↔101110100010⪒≮⫘↔110000111011))⇼⇔∾((⫛⫱⨽(≮⫘↔110100011011∲⫓≮⫘↔10000101111))∲⫓(⊄⩳↩≮⫘↔1001111011011)⫥∨⫟≮⫘↔100010001100⪘⫢≮⫘↔100000100111)","cot":[{"info":"≮⫘↔100101100101⨰≮⫘↔100110001111=≮⫘↔-100000","layer":3},{"info":"≮⫘↔11000000110⫸⊐≮⫘↔100011001110=≮⫘↔10001010111011","layer":3},{"info":"≮⫘↔-100000↙≮⫘↔10001010111011=≮⫘↔-100000","layer":2},{"info":"≮⫘↔11100101010-≮⫘↔101000011000=≮⫘↔-1011101110","layer":3},{"info":"≮⫘↔101110100010⪒≮⫘↔110000111011=≮⫘↔-1011111011101","layer":3},{"info":"≮⫘↔-1011101110⋳⪒≮⫘↔-1011111011101=≮⫘↔1000011100010","layer":2},{"info":"≮⫘↔-100000⪨≂≮⫘↔1000011100010=≮⫘↔-10000110011110","layer":1},{"info":"≮⫘↔110100011011∲⫓≮⫘↔10000101111=≮⫘↔0","layer":3},{"info":"⫛⫱⨽≮⫘↔0=≮⫘↔0","layer":2},{"info":"⊄⩳↩≮⫘↔1001111011011=≮⫘↔-11101110010001","layer":3},{"info":"≮⫘↔100010001100⪘⫢≮⫘↔100000100111=≮⫘↔1000010011100","layer":3},{"info":"≮⫘↔-11101110010001⫥∨⫟≮⫘↔1000010011100=NaN","layer":2},{"info":"≮⫘↔0∲⫓NaN=NaN","layer":1},{"info":"≮⫘↔-10000110011110⇼⇔∾NaN=NaN","layer":0}]}
{"id":106,"expression_no_base_symbol":"(($1283$⨓$1102$⇋≉)⋷($7732$⨐⩸⫘$4892$)⩚⊴⇥($3927$⋷$2729$))⊭↱((⩦⩻⨪$5402$⪢$3816$)⪨≂$2042$⩚⊴⇥$1015$⇼⇔∾(≉$1236$))","expression":"((≮⫘↔10100000011⨓≮⫘↔10001001110⇋≉)⋷(≮⫘↔1111000110100⨐⩸⫘≮⫘↔1001100011100)⩚⊴⇥(≮⫘↔111101010111⋷≮⫘↔101010101001))⊭↱((⩦⩻⨪≮⫘↔1010100011010⪢≮⫘↔111011101000)⪨≂≮⫘↔11111111010⩚⊴⇥≮⫘↔1111110111⇼⇔∾(≉≮⫘↔10011010100))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7858,"operation_count":13,"complexity_ratio":604.4615384615385,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1283,"base":2},"right_expr":{"type":"numeric_atoms","value":1102,"base":2}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":7732,"base":2},"right_expr":{"type":"numeric_atoms","value":4892,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3927,"base":2},"right_expr":{"type":"numeric_atoms","value":2729,"base":2}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5402,"base":2},"right_expr":{"type":"numeric_atoms","value":3816,"base":2}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2042,"base":2},"right_expr":{"type":"numeric_atoms","value":1015,"base":2}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1236,"base":2}}}}},"used_operators":["COABgblf1C","23Mk6UjR3U","XIabStNQrY","3ViojmjbAp","NTOWxs364D","fu6greOZ01","sdazOOVcIp","2td37pGCOC","dWAJyo7jo9","tifHPKVTfV","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1283","layer":4},{"info":"number node, value=1102","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=1102, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1105","layer":3},{"info":"compute unary expreesion, input=-1105, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-2308","layer":2},{"info":"number node, value=7732","layer":4},{"info":"number node, value=4892","layer":4},{"info":"compute binary expreesion, left_input=7732, right_input=4892, 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=3927","layer":4},{"info":"number node, value=2729","layer":4},{"info":"compute binary expreesion, left_input=3927, right_input=2729, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1531","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1531, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2308, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4616","layer":1},{"info":"number node, value=5402","layer":4},{"info":"number node, value=3816","layer":4},{"info":"compute binary expreesion, left_input=5402, right_input=3816, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":2},{"info":"number node, value=2042","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=2042, right_input=1015, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3178","layer":3},{"info":"number node, value=1236","layer":4},{"info":"compute unary expreesion, input=1236, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1767","layer":3},{"info":"compute binary expreesion, left_input=-3178, right_input=1767, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4945","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4945, 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=4616, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10100000011⨓≮⫘↔10001001110⇋≉)⋷(≮⫘↔1111000110100⨐⩸⫘≮⫘↔1001100011100)⩚⊴⇥(≮⫘↔111101010111⋷≮⫘↔101010101001))⊭↱((⩦⩻⨪≮⫘↔1010100011010⪢≮⫘↔111011101000)⪨≂≮⫘↔11111111010⩚⊴⇥≮⫘↔1111110111⇼⇔∾(≉≮⫘↔10011010100))=NaN","reverse_text":"NaN=((≮⫘↔10100000011⨓≮⫘↔10001001110⇋≉)⋷(≮⫘↔1111000110100⨐⩸⫘≮⫘↔1001100011100)⩚⊴⇥(≮⫘↔111101010111⋷≮⫘↔101010101001))⊭↱((⩦⩻⨪≮⫘↔1010100011010⪢≮⫘↔111011101000)⪨≂≮⫘↔11111111010⩚⊴⇥≮⫘↔1111110111⇼⇔∾(≉≮⫘↔10011010100))","cot":[{"info":"≮⫘↔10100000011⨓≮⫘↔10001001110=≮⫘↔-10001010001","layer":3},{"info":"≮⫘↔-10001010001⇋≉=≮⫘↔-100100000100","layer":2},{"info":"≮⫘↔1111000110100⨐⩸⫘≮⫘↔1001100011100=NaN","layer":3},{"info":"≮⫘↔111101010111⋷≮⫘↔101010101001=≮⫘↔10111111011","layer":3},{"info":"NaN⩚⊴⇥≮⫘↔10111111011=NaN","layer":2},{"info":"≮⫘↔-100100000100⋷NaN=≮⫘↔1001000001000","layer":1},{"info":"≮⫘↔1010100011010⪢≮⫘↔111011101000=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"≮⫘↔11111111010⩚⊴⇥≮⫘↔1111110111=≮⫘↔-110001101010","layer":3},{"info":"≉≮⫘↔10011010100=≮⫘↔11011100111","layer":3},{"info":"≮⫘↔-110001101010⇼⇔∾≮⫘↔11011100111=≮⫘↔1001101010001","layer":2},{"info":"NaN⪨≂≮⫘↔1001101010001=NaN","layer":1},{"info":"≮⫘↔1001000001000⊭↱NaN=NaN","layer":0}]}
{"id":107,"expression_no_base_symbol":"↩(+⊝⨔(($2461$⨽$1357$)∼$1364$⊴$1053$))","expression":"↩(+⊝⨔((≮⫘↔100110011101⨽≮⫘↔10101001101)∼≮⫘↔10101010100⊴≮⫘↔10000011101))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":359930,"operation_count":5,"complexity_ratio":71986.0,"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":2461,"base":2},"right_expr":{"type":"numeric_atoms","value":1357,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1364,"base":2},"right_expr":{"type":"numeric_atoms","value":1053,"base":2}}}}},"used_operators":["jLgFTUHLKL","DhbWaqg5eL","DyGG3AbaNP","8HhzD0ZcuI","Nsiff2A1zJ"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr"],"result":"≮⫘↔-10010010110100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2461","layer":4},{"info":"number node, value=1357","layer":4},{"info":"compute binary expreesion, left_input=2461, right_input=1357, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-18172320","layer":3},{"info":"number node, value=1364","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=1364, right_input=1053, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-18172320, 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 = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute unary expreesion, input=1522, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9396","layer":0}],"base":2,"result_base":2,"text":"↩(+⊝⨔((≮⫘↔100110011101⨽≮⫘↔10101001101)∼≮⫘↔10101010100⊴≮⫘↔10000011101))=≮⫘↔-10010010110100","reverse_text":"≮⫘↔-10010010110100=↩(+⊝⨔((≮⫘↔100110011101⨽≮⫘↔10101001101)∼≮⫘↔10101010100⊴≮⫘↔10000011101))","cot":[{"info":"≮⫘↔100110011101⨽≮⫘↔10101001101=≮⫘↔-1000101010100100110100000","layer":3},{"info":"≮⫘↔10101010100⊴≮⫘↔10000011101=NaN","layer":3},{"info":"≮⫘↔-1000101010100100110100000∼NaN=NaN","layer":2},{"info":"+⊝⨔NaN=≮⫘↔10111110010","layer":1},{"info":"↩≮⫘↔10111110010=≮⫘↔-10010010110100","layer":0}]}
{"id":108,"expression_no_base_symbol":"((⊙↵-$6527$)⩷∴($1707$⋝⋈⪟$1756$)⨸⪁(≦∁$1707$*$1992$))∧","expression":"((⊙↵-≮⫘↔1100101111111)⩷∴(≮⫘↔11010101011⋝⋈⪟≮⫘↔11011011100)⨸⪁(≦∁≮⫘↔11010101011*≮⫘↔11111001000))∧","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":8299,"operation_count":7,"complexity_ratio":1185.5714285714287,"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":6527,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1707,"base":2},"right_expr":{"type":"numeric_atoms","value":1756,"base":2}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1707,"base":2},"right_expr":{"type":"numeric_atoms","value":1992,"base":2}}}}},"used_operators":["z63VuFQld9","g55IO6H4Gj","9FxExcQeMw","oWn0xqSxBt","2DDjHMKMc0","9ICcGScMcE","9HNa5Wba9A"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6527","layer":4},{"info":"compute unary expreesion, input=6527, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1707","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=1707, right_input=1756, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1707","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=1707, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3448","layer":2},{"info":"number node, value=1707","layer":4},{"info":"number node, value=1992","layer":4},{"info":"compute binary expreesion, left_input=1707, right_input=1992, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3400344","layer":3},{"info":"compute unary expreesion, input=3400344, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3400344","layer":2},{"info":"compute binary expreesion, left_input=-3448, right_input=3400344, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6793792","layer":1},{"info":"compute unary expreesion, input=6793792, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⊙↵-≮⫘↔1100101111111)⩷∴(≮⫘↔11010101011⋝⋈⪟≮⫘↔11011011100)⨸⪁(≦∁≮⫘↔11010101011*≮⫘↔11111001000))∧=NaN","reverse_text":"NaN=((⊙↵-≮⫘↔1100101111111)⩷∴(≮⫘↔11010101011⋝⋈⪟≮⫘↔11011011100)⨸⪁(≦∁≮⫘↔11010101011*≮⫘↔11111001000))∧","cot":[{"info":"⊙↵-≮⫘↔1100101111111=≮⫘↔-1","layer":3},{"info":"≮⫘↔11010101011⋝⋈⪟≮⫘↔11011011100=≮⫘↔11010101011","layer":3},{"info":"≮⫘↔-1⩷∴≮⫘↔11010101011=≮⫘↔-110101111000","layer":2},{"info":"≮⫘↔11010101011*≮⫘↔11111001000=≮⫘↔1100111110001010011000","layer":3},{"info":"≦∁≮⫘↔1100111110001010011000=≮⫘↔1100111110001010011000","layer":2},{"info":"≮⫘↔-110101111000⨸⪁≮⫘↔1100111110001010011000=≮⫘↔11001111010101001000000","layer":1},{"info":"≮⫘↔11001111010101001000000∧=NaN","layer":0}]}
{"id":109,"expression_no_base_symbol":"((⨑⩽⪐$2784$+⇶⊼$2255$)⋥≓≎$5405$⪢$1926$⪛($5196$↺$3623$))⋫","expression":"((⨑⩽⪐≮⫘↔101011100000+⇶⊼≮⫘↔100011001111)⋥≓≎≮⫘↔1010100011101⪢≮⫘↔11110000110⪛(≮⫘↔1010001001100↺≮⫘↔111000100111))⋫","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3539,"operation_count":7,"complexity_ratio":505.57142857142856,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2784,"base":2},"right_expr":{"type":"numeric_atoms","value":2255,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5405,"base":2},"right_expr":{"type":"numeric_atoms","value":1926,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5196,"base":2},"right_expr":{"type":"numeric_atoms","value":3623,"base":2}}}}},"used_operators":["JL8yIekQnl","Qy55tPpLXF","AF7qkfDlqP","TpPTUOHfaN","uFcxV4UQCh","dWAJyo7jo9","7j4O788W3g"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=2784","layer":4},{"info":"number node, value=2255","layer":4},{"info":"compute binary expreesion, left_input=2784, right_input=2255, 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":"number node, value=5405","layer":4},{"info":"number node, value=1926","layer":4},{"info":"compute binary expreesion, left_input=5405, right_input=1926, 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=5196","layer":4},{"info":"number node, value=3623","layer":4},{"info":"compute binary expreesion, left_input=5196, right_input=3623, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3623","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3623, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=67","layer":0}],"base":2,"result_base":2,"text":"((⨑⩽⪐≮⫘↔101011100000+⇶⊼≮⫘↔100011001111)⋥≓≎≮⫘↔1010100011101⪢≮⫘↔11110000110⪛(≮⫘↔1010001001100↺≮⫘↔111000100111))⋫=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=((⨑⩽⪐≮⫘↔101011100000+⇶⊼≮⫘↔100011001111)⋥≓≎≮⫘↔1010100011101⪢≮⫘↔11110000110⪛(≮⫘↔1010001001100↺≮⫘↔111000100111))⋫","cot":[{"info":"≮⫘↔101011100000+⇶⊼≮⫘↔100011001111=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"≮⫘↔1010100011101⪢≮⫘↔11110000110=NaN","layer":3},{"info":"≮⫘↔1010001001100↺≮⫘↔111000100111=≮⫘↔111000100111","layer":3},{"info":"NaN⪛≮⫘↔111000100111=NaN","layer":2},{"info":"NaN⋥≓≎NaN=≮⫘↔1000011","layer":1},{"info":"≮⫘↔1000011⋫=≮⫘↔1000011","layer":0}]}
{"id":110,"expression_no_base_symbol":"(⋗⩬⋾$1029$⋝⋈⪟$1561$)⪢(($9022$⊦⊿)⋓($5265$+⇶⊼$1111$))⩷∴(⩦⩻⨪($3906$⇋≉))∼((⩦⩻⨪$1507$)⊘)","expression":"(⋗⩬⋾≮⫘↔10000000101⋝⋈⪟≮⫘↔11000011001)⪢((≮⫘↔10001100111110⊦⊿)⋓(≮⫘↔1010010010001+⇶⊼≮⫘↔10001010111))⩷∴(⩦⩻⨪(≮⫘↔111101000010⇋≉))∼((⩦⩻⨪≮⫘↔10111100011)⊘)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":233,"operation_count":12,"complexity_ratio":19.416666666666668,"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":1029,"base":2},"right_expr":{"type":"numeric_atoms","value":1561,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":9022,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5265,"base":2},"right_expr":{"type":"numeric_atoms","value":1111,"base":2}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3906,"base":2}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1507,"base":2}}}}},"used_operators":["9FxExcQeMw","dWAJyo7jo9","DpFCA1CohY","2DDjHMKMc0","T2fj7uvVaJ","14qkJME0vr","TpPTUOHfaN","DyGG3AbaNP","2td37pGCOC","XIabStNQrY","gu96TGCTMs"],"dependent_operators":["rysDP5nf3Z","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1029","layer":4},{"info":"number node, value=1561","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=1561, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1029","layer":3},{"info":"compute unary expreesion, input=1029, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3087","layer":2},{"info":"number node, value=9022","layer":4},{"info":"compute unary expreesion, input=9022, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-27145","layer":3},{"info":"number node, value=5265","layer":4},{"info":"number node, value=1111","layer":4},{"info":"compute binary expreesion, left_input=5265, right_input=1111, 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=-27145, 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=-3087, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=3906","layer":4},{"info":"compute unary expreesion, input=3906, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=7714","layer":3},{"info":"compute unary expreesion, input=7714, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7714","layer":2},{"info":"number node, value=1507","layer":4},{"info":"compute unary expreesion, input=1507, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1507","layer":3},{"info":"compute unary expreesion, input=1507, 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":2},{"info":"compute binary expreesion, left_input=7714, 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=nan, right_input=20, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⋗⩬⋾≮⫘↔10000000101⋝⋈⪟≮⫘↔11000011001)⪢((≮⫘↔10001100111110⊦⊿)⋓(≮⫘↔1010010010001+⇶⊼≮⫘↔10001010111))⩷∴(⩦⩻⨪(≮⫘↔111101000010⇋≉))∼((⩦⩻⨪≮⫘↔10111100011)⊘)=NaN","reverse_text":"NaN=(⋗⩬⋾≮⫘↔10000000101⋝⋈⪟≮⫘↔11000011001)⪢((≮⫘↔10001100111110⊦⊿)⋓(≮⫘↔1010010010001+⇶⊼≮⫘↔10001010111))⩷∴(⩦⩻⨪(≮⫘↔111101000010⇋≉))∼((⩦⩻⨪≮⫘↔10111100011)⊘)","cot":[{"info":"≮⫘↔10000000101⋝⋈⪟≮⫘↔11000011001=≮⫘↔10000000101","layer":3},{"info":"⋗⩬⋾≮⫘↔10000000101=≮⫘↔-110000001111","layer":2},{"info":"≮⫘↔10001100111110⊦⊿=≮⫘↔-110101000001001","layer":3},{"info":"≮⫘↔1010010010001+⇶⊼≮⫘↔10001010111=NaN","layer":3},{"info":"≮⫘↔-110101000001001⋓NaN=NaN","layer":2},{"info":"≮⫘↔-110000001111⪢NaN=NaN","layer":1},{"info":"≮⫘↔111101000010⇋≉=≮⫘↔1111000100010","layer":3},{"info":"⩦⩻⨪≮⫘↔1111000100010=≮⫘↔1111000100010","layer":2},{"info":"⩦⩻⨪≮⫘↔10111100011=≮⫘↔10111100011","layer":3},{"info":"≮⫘↔10111100011⊘=≮⫘↔0","layer":2},{"info":"≮⫘↔1111000100010∼≮⫘↔0=≮⫘↔10100","layer":1},{"info":"NaN⩷∴≮⫘↔10100=NaN","layer":0}]}
{"id":111,"expression_no_base_symbol":"(⨈⫕(↔(⨑⩽⪐$1270$)))⫥∨⫟(-$4685$≧⫂∧$5811$⨰(⇁⨣⪵$6008$))","expression":"(⨈⫕(↔(⨑⩽⪐≮⫘↔10011110110)))⫥∨⫟(-≮⫘↔1001001001101≧⫂∧≮⫘↔1011010110011⨰(⇁⨣⪵≮⫘↔1011101111000))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":575,"operation_count":8,"complexity_ratio":71.875,"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":1270,"base":2}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4685,"base":2},"right_expr":{"type":"numeric_atoms","value":5811,"base":2}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6008,"base":2}}}}},"used_operators":["KYD54nUTWz","megm06wKyl","ruOEQAzv1W","AF7qkfDlqP","t8gj7n24qd","eewbuw0ToL","Ph9nP6C5qx","inkyxCbjAn"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1270","layer":4},{"info":"compute unary expreesion, input=1270, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-997","layer":3},{"info":"compute unary expreesion, input=-997, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, 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":"number node, value=4685","layer":4},{"info":"number node, value=5811","layer":4},{"info":"compute binary expreesion, left_input=4685, right_input=5811, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5338","layer":3},{"info":"number node, value=6008","layer":4},{"info":"compute unary expreesion, input=6008, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5338, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨈⫕(↔(⨑⩽⪐≮⫘↔10011110110)))⫥∨⫟(-≮⫘↔1001001001101≧⫂∧≮⫘↔1011010110011⨰(⇁⨣⪵≮⫘↔1011101111000))=NaN","reverse_text":"NaN=(⨈⫕(↔(⨑⩽⪐≮⫘↔10011110110)))⫥∨⫟(-≮⫘↔1001001001101≧⫂∧≮⫘↔1011010110011⨰(⇁⨣⪵≮⫘↔1011101111000))","cot":[{"info":"⨑⩽⪐≮⫘↔10011110110=≮⫘↔-1111100101","layer":3},{"info":"↔≮⫘↔-1111100101=≮⫘↔-10000110","layer":2},{"info":"⨈⫕≮⫘↔-10000110=≮⫘↔-10101","layer":1},{"info":"≮⫘↔1001001001101≧⫂∧≮⫘↔1011010110011=≮⫘↔1010011011010","layer":3},{"info":"⇁⨣⪵≮⫘↔1011101111000=NaN","layer":3},{"info":"≮⫘↔1010011011010⨰NaN=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"≮⫘↔-10101⫥∨⫟NaN=NaN","layer":0}]}
{"id":112,"expression_no_base_symbol":"(($1673$⪒$1265$)⊉≛↸($3529$⪨≂$5810$))∀⇚≩(($1420$∧)⋓(⨵≀≌$2170$))⊭∹↮","expression":"((≮⫘↔11010001001⪒≮⫘↔10011110001)⊉≛↸(≮⫘↔110111001001⪨≂≮⫘↔1011010110010))∀⇚≩((≮⫘↔10110001100∧)⋓(⨵≀≌≮⫘↔100001111010))⊭∹↮","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":31260,"operation_count":8,"complexity_ratio":3907.5,"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":1673,"base":2},"right_expr":{"type":"numeric_atoms","value":1265,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3529,"base":2},"right_expr":{"type":"numeric_atoms","value":5810,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1420,"base":2}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2170,"base":2}}}}},"used_operators":["xNBdhnnwKq","LRNGc0VcxI","DZ8iAZOCBD","f6k1SAg4EE","sdazOOVcIp","T2fj7uvVaJ","z63VuFQld9","srAu1WTS94"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1673","layer":4},{"info":"number node, value=1265","layer":4},{"info":"compute binary expreesion, left_input=1673, right_input=1265, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2938","layer":3},{"info":"number node, value=3529","layer":4},{"info":"number node, value=5810","layer":4},{"info":"compute binary expreesion, left_input=3529, right_input=5810, 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=-4460","layer":3},{"info":"compute binary expreesion, left_input=-2938, right_input=-4460, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4460","layer":2},{"info":"number node, value=1420","layer":4},{"info":"compute unary expreesion, input=1420, 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=2170","layer":4},{"info":"compute unary expreesion, input=2170, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6510","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6510, 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=4460, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11010001001⪒≮⫘↔10011110001)⊉≛↸(≮⫘↔110111001001⪨≂≮⫘↔1011010110010))∀⇚≩((≮⫘↔10110001100∧)⋓(⨵≀≌≮⫘↔100001111010))⊭∹↮=NaN","reverse_text":"NaN=((≮⫘↔11010001001⪒≮⫘↔10011110001)⊉≛↸(≮⫘↔110111001001⪨≂≮⫘↔1011010110010))∀⇚≩((≮⫘↔10110001100∧)⋓(⨵≀≌≮⫘↔100001111010))⊭∹↮","cot":[{"info":"≮⫘↔11010001001⪒≮⫘↔10011110001=≮⫘↔-101101111010","layer":3},{"info":"≮⫘↔110111001001⪨≂≮⫘↔1011010110010=≮⫘↔-1000101101100","layer":3},{"info":"≮⫘↔-101101111010⊉≛↸≮⫘↔-1000101101100=≮⫘↔1000101101100","layer":2},{"info":"≮⫘↔10110001100∧=NaN","layer":3},{"info":"⨵≀≌≮⫘↔100001111010=≮⫘↔-1100101101110","layer":3},{"info":"NaN⋓≮⫘↔-1100101101110=≮⫘↔0","layer":2},{"info":"≮⫘↔1000101101100∀⇚≩≮⫘↔0=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":113,"expression_no_base_symbol":"(⨑⩽⪐((+⊝⨔$3855$)⨳⩥⨓($1723$≋⫹)))-(⊄⩳↩($6902$⋝⋈⪟$3920$))⋝⋈⪟(↥($2206$≋⫹))","expression":"(⨑⩽⪐((+⊝⨔≮⫘↔111100001111)⨳⩥⨓(≮⫘↔11010111011≋⫹)))-(⊄⩳↩(≮⫘↔1101011110110⋝⋈⪟≮⫘↔111101010000))⋝⋈⪟(↥(≮⫘↔100010011110≋⫹))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":152,"operation_count":10,"complexity_ratio":15.2,"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":3855,"base":2}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1723,"base":2}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6902,"base":2},"right_expr":{"type":"numeric_atoms","value":3920,"base":2}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2206,"base":2}}}}},"used_operators":["rysDP5nf3Z","AF7qkfDlqP","nCS4ZIUYfx","DhbWaqg5eL","N41Kp7NANJ","2DDjHMKMc0","8w2t5hMYqp","A8NUZmVepG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"≮⫘↔111101011000111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3855","layer":4},{"info":"compute unary expreesion, input=3855, 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=1723","layer":4},{"info":"compute unary expreesion, input=1723, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3446","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-3446, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4968","layer":2},{"info":"compute unary expreesion, input=-4968, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=10725","layer":1},{"info":"number node, value=6902","layer":4},{"info":"number node, value=3920","layer":4},{"info":"compute binary expreesion, left_input=6902, right_input=3920, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6902","layer":3},{"info":"compute unary expreesion, input=6902, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-20706","layer":2},{"info":"number node, value=2206","layer":4},{"info":"compute unary expreesion, input=2206, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4412","layer":3},{"info":"compute unary expreesion, input=-4412, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=25","layer":2},{"info":"compute binary expreesion, left_input=-20706, right_input=25, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-20706","layer":1},{"info":"compute binary expreesion, left_input=10725, right_input=-20706, op_id = rysDP5nf3Z binary_op_definition= 'None', output=31431","layer":0}],"base":2,"result_base":2,"text":"(⨑⩽⪐((+⊝⨔≮⫘↔111100001111)⨳⩥⨓(≮⫘↔11010111011≋⫹)))-(⊄⩳↩(≮⫘↔1101011110110⋝⋈⪟≮⫘↔111101010000))⋝⋈⪟(↥(≮⫘↔100010011110≋⫹))=≮⫘↔111101011000111","reverse_text":"≮⫘↔111101011000111=(⨑⩽⪐((+⊝⨔≮⫘↔111100001111)⨳⩥⨓(≮⫘↔11010111011≋⫹)))-(⊄⩳↩(≮⫘↔1101011110110⋝⋈⪟≮⫘↔111101010000))⋝⋈⪟(↥(≮⫘↔100010011110≋⫹))","cot":[{"info":"+⊝⨔≮⫘↔111100001111=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔11010111011≋⫹=≮⫘↔-110101110110","layer":3},{"info":"≮⫘↔10111110010⨳⩥⨓≮⫘↔-110101110110=≮⫘↔-1001101101000","layer":2},{"info":"⨑⩽⪐≮⫘↔-1001101101000=≮⫘↔10100111100101","layer":1},{"info":"≮⫘↔1101011110110⋝⋈⪟≮⫘↔111101010000=≮⫘↔1101011110110","layer":3},{"info":"⊄⩳↩≮⫘↔1101011110110=≮⫘↔-101000011100010","layer":2},{"info":"≮⫘↔100010011110≋⫹=≮⫘↔-1000100111100","layer":3},{"info":"↥≮⫘↔-1000100111100=≮⫘↔11001","layer":2},{"info":"≮⫘↔-101000011100010⋝⋈⪟≮⫘↔11001=≮⫘↔-101000011100010","layer":1},{"info":"≮⫘↔10100111100101-≮⫘↔-101000011100010=≮⫘↔111101011000111","layer":0}]}
{"id":114,"expression_no_base_symbol":"(⊄⩳↩($4041$⋝⋈⪟$4246$≧⫂∧$2071$⊴$6813$))⇷((⨑⩽⪐$4250$)⊭↱$1152$≎⊠⪸$6269$)⪛(($3318$↺$3909$)⨰($1982$⨽$2358$))","expression":"(⊄⩳↩(≮⫘↔111111001001⋝⋈⪟≮⫘↔1000010010110≧⫂∧≮⫘↔100000010111⊴≮⫘↔1101010011101))⇷((⨑⩽⪐≮⫘↔1000010011010)⊭↱≮⫘↔10010000000≎⊠⪸≮⫘↔1100001111101)⪛((≮⫘↔110011110110↺≮⫘↔111101000101)⨰(≮⫘↔11110111110⨽≮⫘↔100100110110))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9116,"operation_count":12,"complexity_ratio":759.6666666666666,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4041,"base":2},"right_expr":{"type":"numeric_atoms","value":4246,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2071,"base":2},"right_expr":{"type":"numeric_atoms","value":6813,"base":2}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4250,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1152,"base":2},"right_expr":{"type":"numeric_atoms","value":6269,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3318,"base":2},"right_expr":{"type":"numeric_atoms","value":3909,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1982,"base":2},"right_expr":{"type":"numeric_atoms","value":2358,"base":2}}}}},"used_operators":["mp7IySMOzn","8w2t5hMYqp","Ph9nP6C5qx","2DDjHMKMc0","Nsiff2A1zJ","uFcxV4UQCh","COABgblf1C","AF7qkfDlqP","bJkvcejdHO","eewbuw0ToL","7j4O788W3g","8HhzD0ZcuI"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"≮⫘↔100100110110011001010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4041","layer":4},{"info":"number node, value=4246","layer":4},{"info":"compute binary expreesion, left_input=4041, right_input=4246, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4041","layer":3},{"info":"number node, value=2071","layer":4},{"info":"number node, value=6813","layer":4},{"info":"compute binary expreesion, left_input=2071, right_input=6813, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4041, 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 unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=4250","layer":4},{"info":"compute unary expreesion, input=4250, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3977","layer":3},{"info":"number node, value=1152","layer":4},{"info":"number node, value=6269","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=6269, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=297895","layer":3},{"info":"compute binary expreesion, left_input=-3977, right_input=297895, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=603749","layer":2},{"info":"number node, value=3318","layer":4},{"info":"number node, value=3909","layer":4},{"info":"compute binary expreesion, left_input=3318, right_input=3909, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3909","layer":3},{"info":"number node, value=1982","layer":4},{"info":"number node, value=2358","layer":4},{"info":"compute binary expreesion, left_input=1982, right_input=2358, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11790732","layer":3},{"info":"compute binary expreesion, left_input=3909, right_input=-11790732, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=11794651","layer":2},{"info":"compute binary expreesion, left_input=603749, right_input=11794651, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=603749","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=603749, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=1207498","layer":0}],"base":2,"result_base":2,"text":"(⊄⩳↩(≮⫘↔111111001001⋝⋈⪟≮⫘↔1000010010110≧⫂∧≮⫘↔100000010111⊴≮⫘↔1101010011101))⇷((⨑⩽⪐≮⫘↔1000010011010)⊭↱≮⫘↔10010000000≎⊠⪸≮⫘↔1100001111101)⪛((≮⫘↔110011110110↺≮⫘↔111101000101)⨰(≮⫘↔11110111110⨽≮⫘↔100100110110))=≮⫘↔100100110110011001010","reverse_text":"≮⫘↔100100110110011001010=(⊄⩳↩(≮⫘↔111111001001⋝⋈⪟≮⫘↔1000010010110≧⫂∧≮⫘↔100000010111⊴≮⫘↔1101010011101))⇷((⨑⩽⪐≮⫘↔1000010011010)⊭↱≮⫘↔10010000000≎⊠⪸≮⫘↔1100001111101)⪛((≮⫘↔110011110110↺≮⫘↔111101000101)⨰(≮⫘↔11110111110⨽≮⫘↔100100110110))","cot":[{"info":"≮⫘↔111111001001⋝⋈⪟≮⫘↔1000010010110=≮⫘↔111111001001","layer":3},{"info":"≮⫘↔100000010111⊴≮⫘↔1101010011101=NaN","layer":3},{"info":"≮⫘↔111111001001≧⫂∧NaN=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"⨑⩽⪐≮⫘↔1000010011010=≮⫘↔-111110001001","layer":3},{"info":"≮⫘↔10010000000≎⊠⪸≮⫘↔1100001111101=≮⫘↔1001000101110100111","layer":3},{"info":"≮⫘↔-111110001001⊭↱≮⫘↔1001000101110100111=≮⫘↔10010011011001100101","layer":2},{"info":"≮⫘↔110011110110↺≮⫘↔111101000101=≮⫘↔111101000101","layer":3},{"info":"≮⫘↔11110111110⨽≮⫘↔100100110110=≮⫘↔-101100111110100110001100","layer":3},{"info":"≮⫘↔111101000101⨰≮⫘↔-101100111110100110001100=≮⫘↔101100111111100011011011","layer":2},{"info":"≮⫘↔10010011011001100101⪛≮⫘↔101100111111100011011011=≮⫘↔10010011011001100101","layer":1},{"info":"NaN⇷≮⫘↔10010011011001100101=≮⫘↔100100110110011001010","layer":0}]}
{"id":115,"expression_no_base_symbol":"((+⊝⨔$5037$)⩚⊴⇥$2748$⇷$2881$/(≦∁$1607$⨽$1644$))∲⫓($1238$≧⫂∧$5554$-(⊥$5642$))⪄$2020$≎⊠⪸$1994$⫥∨⫟$2515$⋝⋈⪟$4753$","expression":"((+⊝⨔≮⫘↔1001110101101)⩚⊴⇥≮⫘↔101010111100⇷≮⫘↔101101000001/(≦∁≮⫘↔11001000111⨽≮⫘↔11001101100))∲⫓(≮⫘↔10011010110≧⫂∧≮⫘↔1010110110010-(⊥≮⫘↔1011000001010))⪄≮⫘↔11111100100≎⊠⪸≮⫘↔11111001010⫥∨⫟≮⫘↔100111010011⋝⋈⪟≮⫘↔1001010010001","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":66476,"operation_count":14,"complexity_ratio":4748.285714285715,"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":5037,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2748,"base":2},"right_expr":{"type":"numeric_atoms","value":2881,"base":2}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1607,"base":2},"right_expr":{"type":"numeric_atoms","value":1644,"base":2}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1238,"base":2},"right_expr":{"type":"numeric_atoms","value":5554,"base":2}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5642,"base":2}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2020,"base":2},"right_expr":{"type":"numeric_atoms","value":1994,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2515,"base":2},"right_expr":{"type":"numeric_atoms","value":4753,"base":2}}}}},"used_operators":["i8ToyICDmI","XhwjNDsVaA","NTOWxs364D","DhbWaqg5eL","mp7IySMOzn","9ICcGScMcE","8HhzD0ZcuI","SUmda5xLS4","rysDP5nf3Z","Ph9nP6C5qx","Q3PJZHRvZv","KYD54nUTWz","bJkvcejdHO","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5037","layer":4},{"info":"compute unary expreesion, input=5037, 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=2748","layer":4},{"info":"number node, value=2881","layer":4},{"info":"compute binary expreesion, left_input=2748, right_input=2881, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5762","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=5762, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7405","layer":2},{"info":"number node, value=1607","layer":4},{"info":"number node, value=1644","layer":4},{"info":"compute binary expreesion, left_input=1607, right_input=1644, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7750965","layer":3},{"info":"compute unary expreesion, input=-7750965, 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":"compute binary expreesion, left_input=-7405, right_input=67, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-111","layer":1},{"info":"number node, value=1238","layer":4},{"info":"number node, value=5554","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=5554, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5081","layer":3},{"info":"number node, value=5642","layer":4},{"info":"compute unary expreesion, input=5642, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5081, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2020","layer":4},{"info":"number node, value=1994","layer":4},{"info":"compute binary expreesion, left_input=2020, right_input=1994, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=522707","layer":3},{"info":"number node, value=2515","layer":4},{"info":"number node, value=4753","layer":4},{"info":"compute binary expreesion, left_input=2515, right_input=4753, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2515","layer":3},{"info":"compute binary expreesion, left_input=522707, right_input=2515, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=-111, right_input=3979, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"((+⊝⨔≮⫘↔1001110101101)⩚⊴⇥≮⫘↔101010111100⇷≮⫘↔101101000001/(≦∁≮⫘↔11001000111⨽≮⫘↔11001101100))∲⫓(≮⫘↔10011010110≧⫂∧≮⫘↔1010110110010-(⊥≮⫘↔1011000001010))⪄≮⫘↔11111100100≎⊠⪸≮⫘↔11111001010⫥∨⫟≮⫘↔100111010011⋝⋈⪟≮⫘↔1001010010001=≮⫘↔0","reverse_text":"≮⫘↔0=((+⊝⨔≮⫘↔1001110101101)⩚⊴⇥≮⫘↔101010111100⇷≮⫘↔101101000001/(≦∁≮⫘↔11001000111⨽≮⫘↔11001101100))∲⫓(≮⫘↔10011010110≧⫂∧≮⫘↔1010110110010-(⊥≮⫘↔1011000001010))⪄≮⫘↔11111100100≎⊠⪸≮⫘↔11111001010⫥∨⫟≮⫘↔100111010011⋝⋈⪟≮⫘↔1001010010001","cot":[{"info":"+⊝⨔≮⫘↔1001110101101=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔101010111100⇷≮⫘↔101101000001=≮⫘↔1011010000010","layer":3},{"info":"≮⫘↔10111110010⩚⊴⇥≮⫘↔1011010000010=≮⫘↔-1110011101101","layer":2},{"info":"≮⫘↔11001000111⨽≮⫘↔11001101100=≮⫘↔-11101100100010100110101","layer":3},{"info":"≦∁≮⫘↔-11101100100010100110101=≮⫘↔1000011","layer":2},{"info":"≮⫘↔-1110011101101/≮⫘↔1000011=≮⫘↔-1101111","layer":1},{"info":"≮⫘↔10011010110≧⫂∧≮⫘↔1010110110010=≮⫘↔1001111011001","layer":3},{"info":"⊥≮⫘↔1011000001010=NaN","layer":3},{"info":"≮⫘↔1001111011001-NaN=NaN","layer":2},{"info":"≮⫘↔11111100100≎⊠⪸≮⫘↔11111001010=≮⫘↔1111111100111010011","layer":3},{"info":"≮⫘↔100111010011⋝⋈⪟≮⫘↔1001010010001=≮⫘↔100111010011","layer":3},{"info":"≮⫘↔1111111100111010011⫥∨⫟≮⫘↔100111010011=NaN","layer":2},{"info":"NaN⪄NaN=≮⫘↔111110001011","layer":1},{"info":"≮⫘↔-1101111∲⫓≮⫘↔111110001011=≮⫘↔0","layer":0}]}
{"id":116,"expression_no_base_symbol":"⊙↵-(($1063$∑⇟⊟$2552$)⪛(⇁⨣⪵$3700$)%($1069$⊴$1375$)≹⇙⪍($1985$⨎$1945$))","expression":"⊙↵-((≮⫘↔10000100111∑⇟⊟≮⫘↔100111111000)⪛(⇁⨣⪵≮⫘↔111001110100)%(≮⫘↔10000101101⊴≮⫘↔10101011111)≹⇙⪍(≮⫘↔11111000001⨎≮⫘↔11110011001))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1417,"operation_count":8,"complexity_ratio":177.125,"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":1063,"base":2},"right_expr":{"type":"numeric_atoms","value":2552,"base":2}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3700,"base":2}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1069,"base":2},"right_expr":{"type":"numeric_atoms","value":1375,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1985,"base":2},"right_expr":{"type":"numeric_atoms","value":1945,"base":2}}}}},"used_operators":["oWn0xqSxBt","k8jYdgA6NY","uFcxV4UQCh","U7g4x0WXJJ","inkyxCbjAn","AHs5Up7iyr","Nsiff2A1zJ","rJVOvQCfKK"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","dWAJyo7jo9","dWAJyo7jo9","14qkJME0vr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1063","layer":4},{"info":"number node, value=2552","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=2552, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3700","layer":4},{"info":"compute unary expreesion, input=3700, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=1069","layer":4},{"info":"number node, value=1375","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=1375, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1985","layer":4},{"info":"number node, value=1945","layer":4},{"info":"compute binary expreesion, left_input=1985, right_input=1945, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1945","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1945, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⊙↵-((≮⫘↔10000100111∑⇟⊟≮⫘↔100111111000)⪛(⇁⨣⪵≮⫘↔111001110100)%(≮⫘↔10000101101⊴≮⫘↔10101011111)≹⇙⪍(≮⫘↔11111000001⨎≮⫘↔11110011001))=NaN","reverse_text":"NaN=⊙↵-((≮⫘↔10000100111∑⇟⊟≮⫘↔100111111000)⪛(⇁⨣⪵≮⫘↔111001110100)%(≮⫘↔10000101101⊴≮⫘↔10101011111)≹⇙⪍(≮⫘↔11111000001⨎≮⫘↔11110011001))","cot":[{"info":"≮⫘↔10000100111∑⇟⊟≮⫘↔100111111000=NaN","layer":3},{"info":"⇁⨣⪵≮⫘↔111001110100=NaN","layer":3},{"info":"NaN⪛NaN=NaN","layer":2},{"info":"≮⫘↔10000101101⊴≮⫘↔10101011111=NaN","layer":3},{"info":"≮⫘↔11111000001⨎≮⫘↔11110011001=≮⫘↔11110011001","layer":3},{"info":"NaN≹⇙⪍≮⫘↔11110011001=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":117,"expression_no_base_symbol":"⨑⩽⪐(($1465$⪐)⨸⪁$2223$⨓$4524$)⫥∨⫟(($2087$↙$1494$)⋳⪒($4489$⨸⪁$2153$))","expression":"⨑⩽⪐((≮⫘↔10110111001⪐)⨸⪁≮⫘↔100010101111⨓≮⫘↔1000110101100)⫥∨⫟((≮⫘↔100000100111↙≮⫘↔10111010110)⋳⪒(≮⫘↔1000110001001⨸⪁≮⫘↔100001101001))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6203,"operation_count":8,"complexity_ratio":775.375,"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":1465,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2223,"base":2},"right_expr":{"type":"numeric_atoms","value":4524,"base":2}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2087,"base":2},"right_expr":{"type":"numeric_atoms","value":1494,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4489,"base":2},"right_expr":{"type":"numeric_atoms","value":2153,"base":2}}}}},"used_operators":["AF7qkfDlqP","KYD54nUTWz","g55IO6H4Gj","eH2TOUuTDT","3ViojmjbAp","12rbrZMWeM","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1465","layer":4},{"info":"compute unary expreesion, input=1465, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2930","layer":3},{"info":"number node, value=2223","layer":4},{"info":"number node, value=4524","layer":4},{"info":"compute binary expreesion, left_input=2223, right_input=4524, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4527","layer":3},{"info":"compute binary expreesion, left_input=2930, right_input=-4527, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-3194","layer":2},{"info":"number node, value=2087","layer":4},{"info":"number node, value=1494","layer":4},{"info":"compute binary expreesion, left_input=2087, right_input=1494, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4482","layer":3},{"info":"number node, value=4489","layer":4},{"info":"number node, value=2153","layer":4},{"info":"compute binary expreesion, left_input=4489, right_input=2153, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13284","layer":3},{"info":"compute binary expreesion, left_input=-4482, right_input=13284, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-22535","layer":2},{"info":"compute binary expreesion, left_input=-3194, right_input=-22535, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', 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":2,"result_base":2,"text":"⨑⩽⪐((≮⫘↔10110111001⪐)⨸⪁≮⫘↔100010101111⨓≮⫘↔1000110101100)⫥∨⫟((≮⫘↔100000100111↙≮⫘↔10111010110)⋳⪒(≮⫘↔1000110001001⨸⪁≮⫘↔100001101001))=NaN","reverse_text":"NaN=⨑⩽⪐((≮⫘↔10110111001⪐)⨸⪁≮⫘↔100010101111⨓≮⫘↔1000110101100)⫥∨⫟((≮⫘↔100000100111↙≮⫘↔10111010110)⋳⪒(≮⫘↔1000110001001⨸⪁≮⫘↔100001101001))","cot":[{"info":"≮⫘↔10110111001⪐=≮⫘↔101101110010","layer":3},{"info":"≮⫘↔100010101111⨓≮⫘↔1000110101100=≮⫘↔-1000110101111","layer":3},{"info":"≮⫘↔101101110010⨸⪁≮⫘↔-1000110101111=≮⫘↔-110001111010","layer":2},{"info":"≮⫘↔100000100111↙≮⫘↔10111010110=≮⫘↔-1000110000010","layer":3},{"info":"≮⫘↔1000110001001⨸⪁≮⫘↔100001101001=≮⫘↔11001111100100","layer":3},{"info":"≮⫘↔-1000110000010⋳⪒≮⫘↔11001111100100=≮⫘↔-101100000000111","layer":2},{"info":"≮⫘↔-110001111010⫥∨⫟≮⫘↔-101100000000111=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":118,"expression_no_base_symbol":"(($8159$/$1641$)⊪)⋥≓≎($1285$⨰$3100$)↬$3634$⪘⫢$3418$⊭↱(⨰⫟⨤$1884$⪮%⊝$1372$)⪘⫢($2518$≹⇙⪍$2231$⪨≂$1321$⨸⪁$1144$)","expression":"((≮⫘↔1111111011111/≮⫘↔11001101001)⊪)⋥≓≎(≮⫘↔10100000101⨰≮⫘↔110000011100)↬≮⫘↔111000110010⪘⫢≮⫘↔110101011010⊭↱(⨰⫟⨤≮⫘↔11101011100⪮%⊝≮⫘↔10101011100)⪘⫢(≮⫘↔100111010110≹⇙⪍≮⫘↔100010110111⪨≂≮⫘↔10100101001⨸⪁≮⫘↔10001111000)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15575,"operation_count":13,"complexity_ratio":1198.076923076923,"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":8159,"base":2},"right_expr":{"type":"numeric_atoms","value":1641,"base":2}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1285,"base":2},"right_expr":{"type":"numeric_atoms","value":3100,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3634,"base":2},"right_expr":{"type":"numeric_atoms","value":3418,"base":2}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1884,"base":2},"right_expr":{"type":"numeric_atoms","value":1372,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2518,"base":2},"right_expr":{"type":"numeric_atoms","value":2231,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1321,"base":2},"right_expr":{"type":"numeric_atoms","value":1144,"base":2}}}}},"used_operators":["COABgblf1C","Qy55tPpLXF","zVYPLywUTj","XhwjNDsVaA","B5M0gjZbta","eewbuw0ToL","oacrs7FA3X","Tw270M8GLb","IWmyXbctLI","sdazOOVcIp","AHs5Up7iyr","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8159","layer":4},{"info":"number node, value=1641","layer":4},{"info":"compute binary expreesion, left_input=8159, right_input=1641, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":3},{"info":"compute unary expreesion, input=4, 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=1285","layer":4},{"info":"number node, value=3100","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=3100, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1805","layer":3},{"info":"number node, value=3634","layer":4},{"info":"number node, value=3418","layer":4},{"info":"compute binary expreesion, left_input=3634, right_input=3418, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7144","layer":3},{"info":"compute binary expreesion, left_input=-1805, right_input=7144, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":1},{"info":"number node, value=1884","layer":4},{"info":"number node, value=1372","layer":4},{"info":"compute binary expreesion, left_input=1884, right_input=1372, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4084","layer":3},{"info":"compute unary expreesion, input=4084, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=2518","layer":4},{"info":"number node, value=2231","layer":4},{"info":"compute binary expreesion, left_input=2518, right_input=2231, 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=1321","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=1321, right_input=1144, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4930","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4930, 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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"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":0}],"base":2,"result_base":2,"text":"((≮⫘↔1111111011111/≮⫘↔11001101001)⊪)⋥≓≎(≮⫘↔10100000101⨰≮⫘↔110000011100)↬≮⫘↔111000110010⪘⫢≮⫘↔110101011010⊭↱(⨰⫟⨤≮⫘↔11101011100⪮%⊝≮⫘↔10101011100)⪘⫢(≮⫘↔100111010110≹⇙⪍≮⫘↔100010110111⪨≂≮⫘↔10100101001⨸⪁≮⫘↔10001111000)=NaN","reverse_text":"NaN=((≮⫘↔1111111011111/≮⫘↔11001101001)⊪)⋥≓≎(≮⫘↔10100000101⨰≮⫘↔110000011100)↬≮⫘↔111000110010⪘⫢≮⫘↔110101011010⊭↱(⨰⫟⨤≮⫘↔11101011100⪮%⊝≮⫘↔10101011100)⪘⫢(≮⫘↔100111010110≹⇙⪍≮⫘↔100010110111⪨≂≮⫘↔10100101001⨸⪁≮⫘↔10001111000)","cot":[{"info":"≮⫘↔1111111011111/≮⫘↔11001101001=≮⫘↔100","layer":3},{"info":"≮⫘↔100⊪=≮⫘↔0","layer":2},{"info":"≮⫘↔10100000101⨰≮⫘↔110000011100=≮⫘↔-11100001101","layer":3},{"info":"≮⫘↔111000110010⪘⫢≮⫘↔110101011010=≮⫘↔1101111101000","layer":3},{"info":"≮⫘↔-11100001101↬≮⫘↔1101111101000=NaN","layer":2},{"info":"≮⫘↔0⋥≓≎NaN=NaN","layer":1},{"info":"≮⫘↔11101011100⪮%⊝≮⫘↔10101011100=≮⫘↔111111110100","layer":3},{"info":"⨰⫟⨤≮⫘↔111111110100=NaN","layer":2},{"info":"≮⫘↔100111010110≹⇙⪍≮⫘↔100010110111=NaN","layer":3},{"info":"≮⫘↔10100101001⨸⪁≮⫘↔10001111000=≮⫘↔1001101000010","layer":3},{"info":"NaN⪨≂≮⫘↔1001101000010=NaN","layer":2},{"info":"NaN⪘⫢NaN=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":119,"expression_no_base_symbol":"((($4782$-$1544$)⪄$3485$⇷$3279$)↺(($1901$⊦⊿)⨸⪁$2302$∀⇚≩$1114$))∸","expression":"(((≮⫘↔1001010101110-≮⫘↔11000001000)⪄≮⫘↔110110011101⇷≮⫘↔110011001111)↺((≮⫘↔11101101101⊦⊿)⨸⪁≮⫘↔100011111110∀⇚≩≮⫘↔10001011010))∸","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":65194,"operation_count":8,"complexity_ratio":8149.25,"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":4782,"base":2},"right_expr":{"type":"numeric_atoms","value":1544,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3485,"base":2},"right_expr":{"type":"numeric_atoms","value":3279,"base":2}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1901,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2302,"base":2},"right_expr":{"type":"numeric_atoms","value":1114,"base":2}}}}},"used_operators":["o20kRiQErp","7j4O788W3g","SUmda5xLS4","rysDP5nf3Z","mp7IySMOzn","g55IO6H4Gj","14qkJME0vr","LRNGc0VcxI"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe"],"result":"≮⫘↔10110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4782","layer":4},{"info":"number node, value=1544","layer":4},{"info":"compute binary expreesion, left_input=4782, right_input=1544, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3238","layer":3},{"info":"number node, value=3485","layer":4},{"info":"number node, value=3279","layer":4},{"info":"compute binary expreesion, left_input=3485, right_input=3279, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6558","layer":3},{"info":"compute binary expreesion, left_input=3238, right_input=6558, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-501545","layer":2},{"info":"number node, value=1901","layer":4},{"info":"compute unary expreesion, input=1901, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5782","layer":3},{"info":"number node, value=2302","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=2302, right_input=1114, 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=-5782, 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=-501545, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1001010101110-≮⫘↔11000001000)⪄≮⫘↔110110011101⇷≮⫘↔110011001111)↺((≮⫘↔11101101101⊦⊿)⨸⪁≮⫘↔100011111110∀⇚≩≮⫘↔10001011010))∸=≮⫘↔10110001","reverse_text":"≮⫘↔10110001=(((≮⫘↔1001010101110-≮⫘↔11000001000)⪄≮⫘↔110110011101⇷≮⫘↔110011001111)↺((≮⫘↔11101101101⊦⊿)⨸⪁≮⫘↔100011111110∀⇚≩≮⫘↔10001011010))∸","cot":[{"info":"≮⫘↔1001010101110-≮⫘↔11000001000=≮⫘↔110010100110","layer":3},{"info":"≮⫘↔110110011101⇷≮⫘↔110011001111=≮⫘↔1100110011110","layer":3},{"info":"≮⫘↔110010100110⪄≮⫘↔1100110011110=≮⫘↔-1111010011100101001","layer":2},{"info":"≮⫘↔11101101101⊦⊿=≮⫘↔-1011010010110","layer":3},{"info":"≮⫘↔100011111110∀⇚≩≮⫘↔10001011010=NaN","layer":3},{"info":"≮⫘↔-1011010010110⨸⪁NaN=NaN","layer":2},{"info":"≮⫘↔-1111010011100101001↺NaN=NaN","layer":1},{"info":"NaN∸=≮⫘↔10110001","layer":0}]}
{"id":120,"expression_no_base_symbol":"⪝⪂⫅(⨰⫟⨤($7553$⨓$1521$))∀⇚≩($1384$≭$1217$)⊴($1608$∲⫓$5794$)","expression":"⪝⪂⫅(⨰⫟⨤(≮⫘↔1110110000001⨓≮⫘↔10111110001))∀⇚≩(≮⫘↔10101101000≭≮⫘↔10011000001)⊴(≮⫘↔11001001000∲⫓≮⫘↔1011010100010)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":8530,"operation_count":7,"complexity_ratio":1218.5714285714287,"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":7553,"base":2},"right_expr":{"type":"numeric_atoms","value":1521,"base":2}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1384,"base":2},"right_expr":{"type":"numeric_atoms","value":1217,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1608,"base":2},"right_expr":{"type":"numeric_atoms","value":5794,"base":2}}}}},"used_operators":["XTarYq4gQB","LRNGc0VcxI","Tw270M8GLb","3ViojmjbAp","Nsiff2A1zJ","rxpJgHHUmx","i8ToyICDmI"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","X99M06cbEe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=7553","layer":4},{"info":"number node, value=1521","layer":4},{"info":"compute binary expreesion, left_input=7553, right_input=1521, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1524","layer":3},{"info":"compute unary expreesion, input=-1524, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1384","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=1384, right_input=1217, 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=1608","layer":4},{"info":"number node, value=5794","layer":4},{"info":"compute binary expreesion, left_input=1608, right_input=5794, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-79, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⪝⪂⫅(⨰⫟⨤(≮⫘↔1110110000001⨓≮⫘↔10111110001))∀⇚≩(≮⫘↔10101101000≭≮⫘↔10011000001)⊴(≮⫘↔11001001000∲⫓≮⫘↔1011010100010)=NaN","reverse_text":"NaN=⪝⪂⫅(⨰⫟⨤(≮⫘↔1110110000001⨓≮⫘↔10111110001))∀⇚≩(≮⫘↔10101101000≭≮⫘↔10011000001)⊴(≮⫘↔11001001000∲⫓≮⫘↔1011010100010)","cot":[{"info":"≮⫘↔1110110000001⨓≮⫘↔10111110001=≮⫘↔-10111110100","layer":3},{"info":"⨰⫟⨤≮⫘↔-10111110100=NaN","layer":2},{"info":"≮⫘↔10101101000≭≮⫘↔10011000001=NaN","layer":3},{"info":"≮⫘↔11001001000∲⫓≮⫘↔1011010100010=≮⫘↔0","layer":3},{"info":"NaN⊴≮⫘↔0=≮⫘↔-1001111","layer":2},{"info":"NaN∀⇚≩≮⫘↔-1001111=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":121,"expression_no_base_symbol":"⊙↵-(((↣≠⋷$1289$)⨳⩥⨓($1768$↺$8401$))⫌⩹⨱)","expression":"⊙↵-(((↣≠⋷≮⫘↔10100001001)⨳⩥⨓(≮⫘↔11011101000↺≮⫘↔10000011010001))⫌⩹⨱)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":42,"operation_count":5,"complexity_ratio":8.4,"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":1289,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1768,"base":2},"right_expr":{"type":"numeric_atoms","value":8401,"base":2}}}}},"used_operators":["oWn0xqSxBt","EBcxylXtPf","nCS4ZIUYfx","Asc51vEJeQ","7j4O788W3g"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1289","layer":4},{"info":"compute unary expreesion, input=1289, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1768","layer":4},{"info":"number node, value=8401","layer":4},{"info":"compute binary expreesion, left_input=1768, right_input=8401, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=8401","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8401, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⊙↵-(((↣≠⋷≮⫘↔10100001001)⨳⩥⨓(≮⫘↔11011101000↺≮⫘↔10000011010001))⫌⩹⨱)=NaN","reverse_text":"NaN=⊙↵-(((↣≠⋷≮⫘↔10100001001)⨳⩥⨓(≮⫘↔11011101000↺≮⫘↔10000011010001))⫌⩹⨱)","cot":[{"info":"↣≠⋷≮⫘↔10100001001=NaN","layer":3},{"info":"≮⫘↔11011101000↺≮⫘↔10000011010001=≮⫘↔10000011010001","layer":3},{"info":"NaN⨳⩥⨓≮⫘↔10000011010001=NaN","layer":2},{"info":"NaN⫌⩹⨱=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":122,"expression_no_base_symbol":"(⪝⪂⫅($2135$⊉≛↸$3737$)⨟⋌⩍(↩$4465$))⪮%⊝(⪲⇎($3391$⨐⩸⫘$3343$)≎⊠⪸$1476$⩷∴$1575$)","expression":"(⪝⪂⫅(≮⫘↔100001010111⊉≛↸≮⫘↔111010011001)⨟⋌⩍(↩≮⫘↔1000101110001))⪮%⊝(⪲⇎(≮⫘↔110100111111⨐⩸⫘≮⫘↔110100001111)≎⊠⪸≮⫘↔10111000100⩷∴≮⫘↔11000100111)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":53,"operation_count":9,"complexity_ratio":5.888888888888889,"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":2135,"base":2},"right_expr":{"type":"numeric_atoms","value":3737,"base":2}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4465,"base":2}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3391,"base":2},"right_expr":{"type":"numeric_atoms","value":3343,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1476,"base":2},"right_expr":{"type":"numeric_atoms","value":1575,"base":2}}}}},"used_operators":["IWmyXbctLI","XTarYq4gQB","rGHVDoGpnC","DZ8iAZOCBD","jLgFTUHLKL","XPYlsWDdGa","bJkvcejdHO","fu6greOZ01","9FxExcQeMw"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","8w2t5hMYqp","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","3ViojmjbAp","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2135","layer":4},{"info":"number node, value=3737","layer":4},{"info":"compute binary expreesion, left_input=2135, right_input=3737, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4270","layer":3},{"info":"number node, value=4465","layer":4},{"info":"compute unary expreesion, input=4465, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-32940","layer":3},{"info":"compute binary expreesion, left_input=4270, right_input=-32940, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"number node, value=3391","layer":4},{"info":"number node, value=3343","layer":4},{"info":"compute binary expreesion, left_input=3391, right_input=3343, 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=1476","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=1476, right_input=1575, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-230","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-230, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⪝⪂⫅(≮⫘↔100001010111⊉≛↸≮⫘↔111010011001)⨟⋌⩍(↩≮⫘↔1000101110001))⪮%⊝(⪲⇎(≮⫘↔110100111111⨐⩸⫘≮⫘↔110100001111)≎⊠⪸≮⫘↔10111000100⩷∴≮⫘↔11000100111)=NaN","reverse_text":"NaN=(⪝⪂⫅(≮⫘↔100001010111⊉≛↸≮⫘↔111010011001)⨟⋌⩍(↩≮⫘↔1000101110001))⪮%⊝(⪲⇎(≮⫘↔110100111111⨐⩸⫘≮⫘↔110100001111)≎⊠⪸≮⫘↔10111000100⩷∴≮⫘↔11000100111)","cot":[{"info":"≮⫘↔100001010111⊉≛↸≮⫘↔111010011001=≮⫘↔1000010101110","layer":3},{"info":"↩≮⫘↔1000101110001=≮⫘↔-1000000010101100","layer":3},{"info":"≮⫘↔1000010101110⨟⋌⩍≮⫘↔-1000000010101100=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"≮⫘↔110100111111⨐⩸⫘≮⫘↔110100001111=NaN","layer":3},{"info":"≮⫘↔10111000100⩷∴≮⫘↔11000100111=≮⫘↔-11100110","layer":3},{"info":"NaN≎⊠⪸≮⫘↔-11100110=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":123,"expression_no_base_symbol":"(($1041$⪨≂$1008$)⩚⊴⇥($2980$≣⋋)↛⩡⫤)⨰((⩦⩻⨪$6690$)⋥≓≎($3195$⊉≛↸$1253$)⪒$1327$⊴$2111$⪒$6151$⨳⩥⨓$1933$)","expression":"((≮⫘↔10000010001⪨≂≮⫘↔1111110000)⩚⊴⇥(≮⫘↔101110100100≣⋋)↛⩡⫤)⨰((⩦⩻⨪≮⫘↔1101000100010)⋥≓≎(≮⫘↔110001111011⊉≛↸≮⫘↔10011100101)⪒≮⫘↔10100101111⊴≮⫘↔100000111111⪒≮⫘↔1100000000111⨳⩥⨓≮⫘↔11110001101)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3664,"operation_count":12,"complexity_ratio":305.3333333333333,"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":1041,"base":2},"right_expr":{"type":"numeric_atoms","value":1008,"base":2}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2980,"base":2}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":6690,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3195,"base":2},"right_expr":{"type":"numeric_atoms","value":1253,"base":2}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1327,"base":2},"right_expr":{"type":"numeric_atoms","value":2111,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6151,"base":2},"right_expr":{"type":"numeric_atoms","value":1933,"base":2}}}}},"used_operators":["eewbuw0ToL","FU0Cs4j7VP","NTOWxs364D","sdazOOVcIp","Tcnh7f0tEr","f6k1SAg4EE","Qy55tPpLXF","2td37pGCOC","DZ8iAZOCBD","Nsiff2A1zJ","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1041","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=1008, 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=168","layer":3},{"info":"number node, value=2980","layer":4},{"info":"compute unary expreesion, input=2980, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=168, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-289","layer":2},{"info":"compute unary expreesion, input=-289, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-37416","layer":1},{"info":"number node, value=6690","layer":4},{"info":"compute unary expreesion, input=6690, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6690","layer":3},{"info":"number node, value=3195","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=3195, right_input=1253, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6390","layer":3},{"info":"compute binary expreesion, left_input=6690, right_input=6390, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6123","layer":2},{"info":"number node, value=1327","layer":4},{"info":"number node, value=2111","layer":4},{"info":"compute binary expreesion, left_input=1327, right_input=2111, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=6151","layer":4},{"info":"number node, value=1933","layer":4},{"info":"compute binary expreesion, left_input=6151, right_input=1933, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4218","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4218, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6123, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-37416, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10000010001⪨≂≮⫘↔1111110000)⩚⊴⇥(≮⫘↔101110100100≣⋋)↛⩡⫤)⨰((⩦⩻⨪≮⫘↔1101000100010)⋥≓≎(≮⫘↔110001111011⊉≛↸≮⫘↔10011100101)⪒≮⫘↔10100101111⊴≮⫘↔100000111111⪒≮⫘↔1100000000111⨳⩥⨓≮⫘↔11110001101)=NaN","reverse_text":"NaN=((≮⫘↔10000010001⪨≂≮⫘↔1111110000)⩚⊴⇥(≮⫘↔101110100100≣⋋)↛⩡⫤)⨰((⩦⩻⨪≮⫘↔1101000100010)⋥≓≎(≮⫘↔110001111011⊉≛↸≮⫘↔10011100101)⪒≮⫘↔10100101111⊴≮⫘↔100000111111⪒≮⫘↔1100000000111⨳⩥⨓≮⫘↔11110001101)","cot":[{"info":"≮⫘↔10000010001⪨≂≮⫘↔1111110000=≮⫘↔10101000","layer":3},{"info":"≮⫘↔101110100100≣⋋=≮⫘↔0","layer":3},{"info":"≮⫘↔10101000⩚⊴⇥≮⫘↔0=≮⫘↔-100100001","layer":2},{"info":"≮⫘↔-100100001↛⩡⫤=≮⫘↔-1001001000101000","layer":1},{"info":"⩦⩻⨪≮⫘↔1101000100010=≮⫘↔1101000100010","layer":3},{"info":"≮⫘↔110001111011⊉≛↸≮⫘↔10011100101=≮⫘↔1100011110110","layer":3},{"info":"≮⫘↔1101000100010⋥≓≎≮⫘↔1100011110110=≮⫘↔1011111101011","layer":2},{"info":"≮⫘↔10100101111⊴≮⫘↔100000111111=NaN","layer":3},{"info":"≮⫘↔1100000000111⨳⩥⨓≮⫘↔11110001101=≮⫘↔-1000001111010","layer":3},{"info":"NaN⪒≮⫘↔-1000001111010=NaN","layer":2},{"info":"≮⫘↔1011111101011⪒NaN=NaN","layer":1},{"info":"≮⫘↔-1001001000101000⨰NaN=NaN","layer":0}]}
{"id":124,"expression_no_base_symbol":"($1390$⩷∴$1436$⨽$1386$⨽$3681$%($4582$⋝⋈⪟$7065$)⨪↰⇹($1168$+$1947$))⊉≛↸($1396$∧)∑⇟⊟(⪝⪂⫅$1677$)⨎(⫓⪴($6108$⪨≂$5564$))","expression":"(≮⫘↔10101101110⩷∴≮⫘↔10110011100⨽≮⫘↔10101101010⨽≮⫘↔111001100001%(≮⫘↔1000111100110⋝⋈⪟≮⫘↔1101110011001)⨪↰⇹(≮⫘↔10010010000+≮⫘↔11110011011))⊉≛↸(≮⫘↔10101110100∧)∑⇟⊟(⪝⪂⫅≮⫘↔11010001101)⨎(⫓⪴(≮⫘↔1011111011100⪨≂≮⫘↔1010110111100))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11244,"operation_count":14,"complexity_ratio":803.1428571428571,"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":1390,"base":2},"right_expr":{"type":"numeric_atoms","value":1436,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1386,"base":2},"right_expr":{"type":"numeric_atoms","value":3681,"base":2}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4582,"base":2},"right_expr":{"type":"numeric_atoms","value":7065,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1168,"base":2},"right_expr":{"type":"numeric_atoms","value":1947,"base":2}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1396,"base":2}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1677,"base":2}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6108,"base":2},"right_expr":{"type":"numeric_atoms","value":5564,"base":2}}}}},"used_operators":["DZ8iAZOCBD","k8jYdgA6NY","8HhzD0ZcuI","9FxExcQeMw","tmPS8pqC7x","2DDjHMKMc0","W4YGzv6Whe","rJVOvQCfKK","U7g4x0WXJJ","z63VuFQld9","XTarYq4gQB","eLxqMNBOBk","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔1110110000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1390","layer":4},{"info":"number node, value=1436","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=1436, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-124","layer":3},{"info":"number node, value=1386","layer":4},{"info":"number node, value=3681","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=3681, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5772717","layer":3},{"info":"compute binary expreesion, left_input=-124, right_input=-5772717, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=17273337","layer":2},{"info":"number node, value=4582","layer":4},{"info":"number node, value=7065","layer":4},{"info":"compute binary expreesion, left_input=4582, right_input=7065, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4582","layer":3},{"info":"number node, value=1168","layer":4},{"info":"number node, value=1947","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=1947, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3115","layer":3},{"info":"compute binary expreesion, left_input=4582, right_input=3115, 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=4582","layer":2},{"info":"compute binary expreesion, left_input=17273337, right_input=4582, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3779","layer":1},{"info":"number node, value=1396","layer":4},{"info":"compute unary expreesion, input=1396, 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=1677","layer":4},{"info":"compute unary expreesion, input=1677, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-246519","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-246519, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=6108","layer":4},{"info":"number node, value=5564","layer":4},{"info":"compute binary expreesion, left_input=6108, right_input=5564, 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=1190","layer":3},{"info":"compute unary expreesion, input=1190, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1416100","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1416100, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1416100","layer":1},{"info":"compute binary expreesion, left_input=3779, right_input=1416100, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7558","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10101101110⩷∴≮⫘↔10110011100⨽≮⫘↔10101101010⨽≮⫘↔111001100001%(≮⫘↔1000111100110⋝⋈⪟≮⫘↔1101110011001)⨪↰⇹(≮⫘↔10010010000+≮⫘↔11110011011))⊉≛↸(≮⫘↔10101110100∧)∑⇟⊟(⪝⪂⫅≮⫘↔11010001101)⨎(⫓⪴(≮⫘↔1011111011100⪨≂≮⫘↔1010110111100))=≮⫘↔1110110000110","reverse_text":"≮⫘↔1110110000110=(≮⫘↔10101101110⩷∴≮⫘↔10110011100⨽≮⫘↔10101101010⨽≮⫘↔111001100001%(≮⫘↔1000111100110⋝⋈⪟≮⫘↔1101110011001)⨪↰⇹(≮⫘↔10010010000+≮⫘↔11110011011))⊉≛↸(≮⫘↔10101110100∧)∑⇟⊟(⪝⪂⫅≮⫘↔11010001101)⨎(⫓⪴(≮⫘↔1011111011100⪨≂≮⫘↔1010110111100))","cot":[{"info":"≮⫘↔10101101110⩷∴≮⫘↔10110011100=≮⫘↔-1111100","layer":3},{"info":"≮⫘↔10101101010⨽≮⫘↔111001100001=≮⫘↔-10110000001010110101101","layer":3},{"info":"≮⫘↔-1111100⨽≮⫘↔-10110000001010110101101=≮⫘↔1000001111001000111111001","layer":2},{"info":"≮⫘↔1000111100110⋝⋈⪟≮⫘↔1101110011001=≮⫘↔1000111100110","layer":3},{"info":"≮⫘↔10010010000+≮⫘↔11110011011=≮⫘↔110000101011","layer":3},{"info":"≮⫘↔1000111100110⨪↰⇹≮⫘↔110000101011=≮⫘↔1000111100110","layer":2},{"info":"≮⫘↔1000001111001000111111001%≮⫘↔1000111100110=≮⫘↔111011000011","layer":1},{"info":"≮⫘↔10101110100∧=NaN","layer":3},{"info":"⪝⪂⫅≮⫘↔11010001101=≮⫘↔-111100001011110111","layer":3},{"info":"NaN∑⇟⊟≮⫘↔-111100001011110111=NaN","layer":2},{"info":"≮⫘↔1011111011100⪨≂≮⫘↔1010110111100=≮⫘↔10010100110","layer":3},{"info":"⫓⪴≮⫘↔10010100110=≮⫘↔101011001101110100100","layer":2},{"info":"NaN⨎≮⫘↔101011001101110100100=≮⫘↔101011001101110100100","layer":1},{"info":"≮⫘↔111011000011⊉≛↸≮⫘↔101011001101110100100=≮⫘↔1110110000110","layer":0}]}
{"id":125,"expression_no_base_symbol":"(⋗⩬⋾($4509$∲⫓$1006$)⋝⋈⪟($5424$↺$1004$))⨎(↽≂$4094$∑⇟⊟$5084$)⨓($1013$⪨≂$3515$+$6740$⋳⪒$5171$)","expression":"(⋗⩬⋾(≮⫘↔1000110011101∲⫓≮⫘↔1111101110)⋝⋈⪟(≮⫘↔1010100110000↺≮⫘↔1111101100))⨎(↽≂≮⫘↔111111111110∑⇟⊟≮⫘↔1001111011100)⨓(≮⫘↔1111110101⪨≂≮⫘↔110110111011+≮⫘↔1101001010100⋳⪒≮⫘↔1010000110011)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3154,"operation_count":11,"complexity_ratio":286.72727272727275,"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":4509,"base":2},"right_expr":{"type":"numeric_atoms","value":1006,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5424,"base":2},"right_expr":{"type":"numeric_atoms","value":1004,"base":2}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4094,"base":2},"right_expr":{"type":"numeric_atoms","value":5084,"base":2}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1013,"base":2},"right_expr":{"type":"numeric_atoms","value":3515,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6740,"base":2},"right_expr":{"type":"numeric_atoms","value":5171,"base":2}}}}},"used_operators":["rJVOvQCfKK","DpFCA1CohY","2DDjHMKMc0","i8ToyICDmI","7j4O788W3g","3ViojmjbAp","u6S6b8DprG","U7g4x0WXJJ","W4YGzv6Whe","sdazOOVcIp","12rbrZMWeM"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-110000110011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4509","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=4509, right_input=1006, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=5424","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=5424, right_input=1004, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1004","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1004, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=0","layer":1},{"info":"number node, value=4094","layer":4},{"info":"number node, value=5084","layer":4},{"info":"compute binary expreesion, left_input=4094, right_input=5084, 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 = 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=1013","layer":4},{"info":"number node, value=3515","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=3515, 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=-4902","layer":3},{"info":"number node, value=6740","layer":4},{"info":"number node, value=5171","layer":4},{"info":"compute binary expreesion, left_input=6740, right_input=5171, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8022","layer":3},{"info":"compute binary expreesion, left_input=-4902, right_input=8022, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3120","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3120, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3123","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3123, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3123","layer":0}],"base":2,"result_base":2,"text":"(⋗⩬⋾(≮⫘↔1000110011101∲⫓≮⫘↔1111101110)⋝⋈⪟(≮⫘↔1010100110000↺≮⫘↔1111101100))⨎(↽≂≮⫘↔111111111110∑⇟⊟≮⫘↔1001111011100)⨓(≮⫘↔1111110101⪨≂≮⫘↔110110111011+≮⫘↔1101001010100⋳⪒≮⫘↔1010000110011)=≮⫘↔-110000110011","reverse_text":"≮⫘↔-110000110011=(⋗⩬⋾(≮⫘↔1000110011101∲⫓≮⫘↔1111101110)⋝⋈⪟(≮⫘↔1010100110000↺≮⫘↔1111101100))⨎(↽≂≮⫘↔111111111110∑⇟⊟≮⫘↔1001111011100)⨓(≮⫘↔1111110101⪨≂≮⫘↔110110111011+≮⫘↔1101001010100⋳⪒≮⫘↔1010000110011)","cot":[{"info":"≮⫘↔1000110011101∲⫓≮⫘↔1111101110=≮⫘↔0","layer":3},{"info":"≮⫘↔1010100110000↺≮⫘↔1111101100=≮⫘↔1111101100","layer":3},{"info":"≮⫘↔0⋝⋈⪟≮⫘↔1111101100=≮⫘↔0","layer":2},{"info":"⋗⩬⋾≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔111111111110∑⇟⊟≮⫘↔1001111011100=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"≮⫘↔1111110101⪨≂≮⫘↔110110111011=≮⫘↔-1001100100110","layer":3},{"info":"≮⫘↔1101001010100⋳⪒≮⫘↔1010000110011=≮⫘↔1111101010110","layer":3},{"info":"≮⫘↔-1001100100110+≮⫘↔1111101010110=≮⫘↔110000110000","layer":2},{"info":"NaN⨓≮⫘↔110000110000=≮⫘↔-110000110011","layer":1},{"info":"≮⫘↔0⨎≮⫘↔-110000110011=≮⫘↔-110000110011","layer":0}]}
{"id":126,"expression_no_base_symbol":"($1143$≧⫂∧$2736$)∀⇚≩($4556$⋓$1281$)⫡⨏$1659$⨟⋌⩍$1281$⨪↰⇹($2361$+$2166$)⫡⨏(↥($5141$⫥∨⫟$6138$)⋝⋈⪟($1550$⨵⪆$2561$))","expression":"(≮⫘↔10001110111≧⫂∧≮⫘↔101010110000)∀⇚≩(≮⫘↔1000111001100⋓≮⫘↔10100000001)⫡⨏≮⫘↔11001111011⨟⋌⩍≮⫘↔10100000001⨪↰⇹(≮⫘↔100100111001+≮⫘↔100001110110)⫡⨏(↥(≮⫘↔1010000010101⫥∨⫟≮⫘↔1011111111010)⋝⋈⪟(≮⫘↔11000001110⨵⪆≮⫘↔101000000001))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":16031,"operation_count":12,"complexity_ratio":1335.9166666666667,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1143,"base":2},"right_expr":{"type":"numeric_atoms","value":2736,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4556,"base":2},"right_expr":{"type":"numeric_atoms","value":1281,"base":2}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1659,"base":2},"right_expr":{"type":"numeric_atoms","value":1281,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2361,"base":2},"right_expr":{"type":"numeric_atoms","value":2166,"base":2}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5141,"base":2},"right_expr":{"type":"numeric_atoms","value":6138,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1550,"base":2},"right_expr":{"type":"numeric_atoms","value":2561,"base":2}}}}},"used_operators":["QMFrweE19q","LRNGc0VcxI","Ph9nP6C5qx","T2fj7uvVaJ","tmPS8pqC7x","rGHVDoGpnC","W4YGzv6Whe","A8NUZmVepG","2DDjHMKMc0","KYD54nUTWz","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rJVOvQCfKK","Tcnh7f0tEr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1143","layer":4},{"info":"number node, value=2736","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=2736, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2263","layer":3},{"info":"number node, value=4556","layer":4},{"info":"number node, value=1281","layer":4},{"info":"compute binary expreesion, left_input=4556, right_input=1281, 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=2263, 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":"number node, value=1659","layer":4},{"info":"number node, value=1281","layer":4},{"info":"compute binary expreesion, left_input=1659, right_input=1281, 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=2361","layer":4},{"info":"number node, value=2166","layer":4},{"info":"compute binary expreesion, left_input=2361, right_input=2166, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4527","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4527, 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 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=5141","layer":4},{"info":"number node, value=6138","layer":4},{"info":"compute binary expreesion, left_input=5141, right_input=6138, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1550","layer":4},{"info":"number node, value=2561","layer":4},{"info":"compute binary expreesion, left_input=1550, right_input=2561, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', 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=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":2,"result_base":2,"text":"(≮⫘↔10001110111≧⫂∧≮⫘↔101010110000)∀⇚≩(≮⫘↔1000111001100⋓≮⫘↔10100000001)⫡⨏≮⫘↔11001111011⨟⋌⩍≮⫘↔10100000001⨪↰⇹(≮⫘↔100100111001+≮⫘↔100001110110)⫡⨏(↥(≮⫘↔1010000010101⫥∨⫟≮⫘↔1011111111010)⋝⋈⪟(≮⫘↔11000001110⨵⪆≮⫘↔101000000001))=NaN","reverse_text":"NaN=(≮⫘↔10001110111≧⫂∧≮⫘↔101010110000)∀⇚≩(≮⫘↔1000111001100⋓≮⫘↔10100000001)⫡⨏≮⫘↔11001111011⨟⋌⩍≮⫘↔10100000001⨪↰⇹(≮⫘↔100100111001+≮⫘↔100001110110)⫡⨏(↥(≮⫘↔1010000010101⫥∨⫟≮⫘↔1011111111010)⋝⋈⪟(≮⫘↔11000001110⨵⪆≮⫘↔101000000001))","cot":[{"info":"≮⫘↔10001110111≧⫂∧≮⫘↔101010110000=≮⫘↔100011010111","layer":3},{"info":"≮⫘↔1000111001100⋓≮⫘↔10100000001=≮⫘↔0","layer":3},{"info":"≮⫘↔100011010111∀⇚≩≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔11001111011⨟⋌⩍≮⫘↔10100000001=NaN","layer":3},{"info":"≮⫘↔100100111001+≮⫘↔100001110110=≮⫘↔1000110101111","layer":3},{"info":"NaN⨪↰⇹≮⫘↔1000110101111=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"≮⫘↔1010000010101⫥∨⫟≮⫘↔1011111111010=NaN","layer":3},{"info":"≮⫘↔11000001110⨵⪆≮⫘↔101000000001=≮⫘↔10100000","layer":3},{"info":"NaN⋝⋈⪟≮⫘↔10100000=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":127,"expression_no_base_symbol":"(($3821$≦≮≮)⨟⋌⩍($2388$⪒$2829$)⇼⇔∾(↯⪼$5822$)⩚⊴⇥$3750$↬$1315$)≹⇙⪍(↣≠⋷(($3248$⩨$2152$)∑⇟⊟$4092$↬$3160$))","expression":"((≮⫘↔111011101101≦≮≮)⨟⋌⩍(≮⫘↔100101010100⪒≮⫘↔101100001101)⇼⇔∾(↯⪼≮⫘↔1011010111110)⩚⊴⇥≮⫘↔111010100110↬≮⫘↔10100100011)≹⇙⪍(↣≠⋷((≮⫘↔110010110000⩨≮⫘↔100001101000)∑⇟⊟≮⫘↔111111111100↬≮⫘↔110001011000))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":54,"operation_count":12,"complexity_ratio":4.5,"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":3821,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2388,"base":2},"right_expr":{"type":"numeric_atoms","value":2829,"base":2}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5822,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3750,"base":2},"right_expr":{"type":"numeric_atoms","value":1315,"base":2}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3248,"base":2},"right_expr":{"type":"numeric_atoms","value":2152,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4092,"base":2},"right_expr":{"type":"numeric_atoms","value":3160,"base":2}}}}},"used_operators":["AHs5Up7iyr","tifHPKVTfV","rGHVDoGpnC","D4vGDi5EA2","f6k1SAg4EE","NTOWxs364D","8jW3W4yZS5","B5M0gjZbta","Asc51vEJeQ","U7g4x0WXJJ","2DlMacCsIx"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC","XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3821","layer":4},{"info":"compute unary expreesion, input=3821, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-11463","layer":3},{"info":"number node, value=2388","layer":4},{"info":"number node, value=2829","layer":4},{"info":"compute binary expreesion, left_input=2388, right_input=2829, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5217","layer":3},{"info":"compute binary expreesion, left_input=-11463, right_input=-5217, 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=5822","layer":4},{"info":"compute unary expreesion, input=5822, 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=3750","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=3750, right_input=1315, 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=-21, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=3248","layer":4},{"info":"number node, value=2152","layer":4},{"info":"compute binary expreesion, left_input=3248, right_input=2152, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=4092","layer":4},{"info":"number node, value=3160","layer":4},{"info":"compute binary expreesion, left_input=4092, right_input=3160, 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 = 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111011101101≦≮≮)⨟⋌⩍(≮⫘↔100101010100⪒≮⫘↔101100001101)⇼⇔∾(↯⪼≮⫘↔1011010111110)⩚⊴⇥≮⫘↔111010100110↬≮⫘↔10100100011)≹⇙⪍(↣≠⋷((≮⫘↔110010110000⩨≮⫘↔100001101000)∑⇟⊟≮⫘↔111111111100↬≮⫘↔110001011000))=NaN","reverse_text":"NaN=((≮⫘↔111011101101≦≮≮)⨟⋌⩍(≮⫘↔100101010100⪒≮⫘↔101100001101)⇼⇔∾(↯⪼≮⫘↔1011010111110)⩚⊴⇥≮⫘↔111010100110↬≮⫘↔10100100011)≹⇙⪍(↣≠⋷((≮⫘↔110010110000⩨≮⫘↔100001101000)∑⇟⊟≮⫘↔111111111100↬≮⫘↔110001011000))","cot":[{"info":"≮⫘↔111011101101≦≮≮=≮⫘↔-10110011000111","layer":3},{"info":"≮⫘↔100101010100⪒≮⫘↔101100001101=≮⫘↔-1010001100001","layer":3},{"info":"≮⫘↔-10110011000111⨟⋌⩍≮⫘↔-1010001100001=NaN","layer":2},{"info":"↯⪼≮⫘↔1011010111110=≮⫘↔-10101","layer":3},{"info":"≮⫘↔111010100110↬≮⫘↔10100100011=NaN","layer":3},{"info":"≮⫘↔-10101⩚⊴⇥NaN=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"≮⫘↔110010110000⩨≮⫘↔100001101000=≮⫘↔0","layer":3},{"info":"≮⫘↔111111111100↬≮⫘↔110001011000=NaN","layer":3},{"info":"≮⫘↔0∑⇟⊟NaN=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":128,"expression_no_base_symbol":"(($7422$⊠≄⫣)⪘⫢($1742$/$1075$))∼(($2400$/$1338$)⩠)⋝⋈⪟(($2620$⇼⇔∾$1327$)⫥∨⫟(⨈⫕$5939$)⪄$4442$⨟⋌⩍$2434$⋝⋈⪟($3687$⩠))","expression":"((≮⫘↔1110011111110⊠≄⫣)⪘⫢(≮⫘↔11011001110/≮⫘↔10000110011))∼((≮⫘↔100101100000/≮⫘↔10100111010)⩠)⋝⋈⪟((≮⫘↔101000111100⇼⇔∾≮⫘↔10100101111)⫥∨⫟(⨈⫕≮⫘↔1011100110011)⪄≮⫘↔1000101011010⨟⋌⩍≮⫘↔100110000010⋝⋈⪟(≮⫘↔111001100111⩠))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1460,"operation_count":14,"complexity_ratio":104.28571428571429,"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":7422,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1742,"base":2},"right_expr":{"type":"numeric_atoms","value":1075,"base":2}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2400,"base":2},"right_expr":{"type":"numeric_atoms","value":1338,"base":2}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2620,"base":2},"right_expr":{"type":"numeric_atoms","value":1327,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5939,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4442,"base":2},"right_expr":{"type":"numeric_atoms","value":2434,"base":2}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3687,"base":2}}}}},"used_operators":["2DDjHMKMc0","DyGG3AbaNP","oacrs7FA3X","DIvbN7qnHd","XhwjNDsVaA","sJAwomhLZr","SUmda5xLS4","KYD54nUTWz","tifHPKVTfV","megm06wKyl","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Tcnh7f0tEr"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7422","layer":4},{"info":"compute unary expreesion, input=7422, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1742","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=1742, right_input=1075, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1, 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":"number node, value=2400","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=2400, right_input=1338, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=205","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=205, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"number node, value=2620","layer":4},{"info":"number node, value=1327","layer":4},{"info":"compute binary expreesion, left_input=2620, right_input=1327, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1293","layer":3},{"info":"number node, value=5939","layer":4},{"info":"compute unary expreesion, input=5939, 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=-1293, right_input=-21, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=4442","layer":4},{"info":"number node, value=2434","layer":4},{"info":"compute binary expreesion, left_input=4442, right_input=2434, 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=3687","layer":4},{"info":"compute unary expreesion, input=3687, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=3979, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1110011111110⊠≄⫣)⪘⫢(≮⫘↔11011001110/≮⫘↔10000110011))∼((≮⫘↔100101100000/≮⫘↔10100111010)⩠)⋝⋈⪟((≮⫘↔101000111100⇼⇔∾≮⫘↔10100101111)⫥∨⫟(⨈⫕≮⫘↔1011100110011)⪄≮⫘↔1000101011010⨟⋌⩍≮⫘↔100110000010⋝⋈⪟(≮⫘↔111001100111⩠))=≮⫘↔0","reverse_text":"≮⫘↔0=((≮⫘↔1110011111110⊠≄⫣)⪘⫢(≮⫘↔11011001110/≮⫘↔10000110011))∼((≮⫘↔100101100000/≮⫘↔10100111010)⩠)⋝⋈⪟((≮⫘↔101000111100⇼⇔∾≮⫘↔10100101111)⫥∨⫟(⨈⫕≮⫘↔1011100110011)⪄≮⫘↔1000101011010⨟⋌⩍≮⫘↔100110000010⋝⋈⪟(≮⫘↔111001100111⩠))","cot":[{"info":"≮⫘↔1110011111110⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔11011001110/≮⫘↔10000110011=≮⫘↔1","layer":3},{"info":"≮⫘↔0⪘⫢≮⫘↔1=≮⫘↔0","layer":2},{"info":"≮⫘↔100101100000/≮⫘↔10100111010=≮⫘↔1","layer":3},{"info":"≮⫘↔1⩠=≮⫘↔11001101","layer":2},{"info":"≮⫘↔0∼≮⫘↔11001101=≮⫘↔0","layer":1},{"info":"≮⫘↔101000111100⇼⇔∾≮⫘↔10100101111=≮⫘↔-10100001101","layer":3},{"info":"⨈⫕≮⫘↔1011100110011=≮⫘↔-10101","layer":3},{"info":"≮⫘↔-10100001101⫥∨⫟≮⫘↔-10101=NaN","layer":2},{"info":"≮⫘↔1000101011010⨟⋌⩍≮⫘↔100110000010=NaN","layer":3},{"info":"≮⫘↔111001100111⩠=≮⫘↔0","layer":3},{"info":"NaN⋝⋈⪟≮⫘↔0=NaN","layer":2},{"info":"NaN⪄NaN=≮⫘↔111110001011","layer":1},{"info":"≮⫘↔0⋝⋈⪟≮⫘↔111110001011=≮⫘↔0","layer":0}]}
{"id":129,"expression_no_base_symbol":"($1990$≎⊠⪸$1967$⫡⨏$3401$⩨$1021$↪⪝)⊭↱($6960$⨽$4907$⊉≛↸(⨈⫕$1790$)⪨≂($4589$⊉≛↸$2120$⋷$1883$⨐⩸⫘$1449$))","expression":"(≮⫘↔11111000110≎⊠⪸≮⫘↔11110101111⫡⨏≮⫘↔110101001001⩨≮⫘↔1111111101↪⪝)⊭↱(≮⫘↔1101100110000⨽≮⫘↔1001100101011⊉≛↸(⨈⫕≮⫘↔11011111110)⪨≂(≮⫘↔1000111101101⊉≛↸≮⫘↔100001001000⋷≮⫘↔11101011011⨐⩸⫘≮⫘↔10110101001))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":8357,"operation_count":12,"complexity_ratio":696.4166666666666,"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":1990,"base":2},"right_expr":{"type":"numeric_atoms","value":1967,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3401,"base":2},"right_expr":{"type":"numeric_atoms","value":1021,"base":2}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6960,"base":2},"right_expr":{"type":"numeric_atoms","value":4907,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1790,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4589,"base":2},"right_expr":{"type":"numeric_atoms","value":2120,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1883,"base":2},"right_expr":{"type":"numeric_atoms","value":1449,"base":2}}}}},"used_operators":["COABgblf1C","l07mrZUIn9","QMFrweE19q","bJkvcejdHO","2DlMacCsIx","sdazOOVcIp","DZ8iAZOCBD","8HhzD0ZcuI","megm06wKyl","23Mk6UjR3U","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1990","layer":4},{"info":"number node, value=1967","layer":4},{"info":"compute binary expreesion, left_input=1990, right_input=1967, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=514937","layer":3},{"info":"number node, value=3401","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=3401, right_input=1021, 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=514937, 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=2575468","layer":2},{"info":"compute unary expreesion, input=2575468, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=inf","layer":1},{"info":"number node, value=6960","layer":4},{"info":"number node, value=4907","layer":4},{"info":"compute binary expreesion, left_input=6960, right_input=4907, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-145338207","layer":3},{"info":"number node, value=1790","layer":4},{"info":"compute unary expreesion, input=1790, 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=-145338207, right_input=-21, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=21","layer":2},{"info":"number node, value=4589","layer":4},{"info":"number node, value=2120","layer":4},{"info":"compute binary expreesion, left_input=4589, right_input=2120, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9178","layer":3},{"info":"number node, value=1883","layer":4},{"info":"number node, value=1449","layer":4},{"info":"compute binary expreesion, left_input=1883, right_input=1449, 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=9178, right_input=nan, 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=21, 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=inf, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11111000110≎⊠⪸≮⫘↔11110101111⫡⨏≮⫘↔110101001001⩨≮⫘↔1111111101↪⪝)⊭↱(≮⫘↔1101100110000⨽≮⫘↔1001100101011⊉≛↸(⨈⫕≮⫘↔11011111110)⪨≂(≮⫘↔1000111101101⊉≛↸≮⫘↔100001001000⋷≮⫘↔11101011011⨐⩸⫘≮⫘↔10110101001))=NaN","reverse_text":"NaN=(≮⫘↔11111000110≎⊠⪸≮⫘↔11110101111⫡⨏≮⫘↔110101001001⩨≮⫘↔1111111101↪⪝)⊭↱(≮⫘↔1101100110000⨽≮⫘↔1001100101011⊉≛↸(⨈⫕≮⫘↔11011111110)⪨≂(≮⫘↔1000111101101⊉≛↸≮⫘↔100001001000⋷≮⫘↔11101011011⨐⩸⫘≮⫘↔10110101001))","cot":[{"info":"≮⫘↔11111000110≎⊠⪸≮⫘↔11110101111=≮⫘↔1111101101101111001","layer":3},{"info":"≮⫘↔110101001001⩨≮⫘↔1111111101=≮⫘↔0","layer":3},{"info":"≮⫘↔1111101101101111001⫡⨏≮⫘↔0=≮⫘↔1001110100110001101100","layer":2},{"info":"≮⫘↔1001110100110001101100↪⪝=Inf","layer":1},{"info":"≮⫘↔1101100110000⨽≮⫘↔1001100101011=≮⫘↔-1000101010011010111101011111","layer":3},{"info":"⨈⫕≮⫘↔11011111110=≮⫘↔-10101","layer":3},{"info":"≮⫘↔-1000101010011010111101011111⊉≛↸≮⫘↔-10101=≮⫘↔10101","layer":2},{"info":"≮⫘↔1000111101101⊉≛↸≮⫘↔100001001000=≮⫘↔10001111011010","layer":3},{"info":"≮⫘↔11101011011⨐⩸⫘≮⫘↔10110101001=NaN","layer":3},{"info":"≮⫘↔10001111011010⋷NaN=NaN","layer":2},{"info":"≮⫘↔10101⪨≂NaN=NaN","layer":1},{"info":"Inf⊭↱NaN=NaN","layer":0}]}
{"id":130,"expression_no_base_symbol":"(((↩$1224$)⩨$2730$⪄$2819$)⇋≉)⋝⋈⪟(($1008$*$2787$)⨟⋌⩍($5572$⫡⨏$4088$)⋥≓≎(($6143$⩚⊴⇥$2661$)⇋≉))","expression":"(((↩≮⫘↔10011001000)⩨≮⫘↔101010101010⪄≮⫘↔101100000011)⇋≉)⋝⋈⪟((≮⫘↔1111110000*≮⫘↔101011100011)⨟⋌⩍(≮⫘↔1010111000100⫡⨏≮⫘↔111111111000)⋥≓≎((≮⫘↔1011111111111⩚⊴⇥≮⫘↔101001100101)⇋≉))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1202,"operation_count":11,"complexity_ratio":109.27272727272727,"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":1224,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2730,"base":2},"right_expr":{"type":"numeric_atoms","value":2819,"base":2}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1008,"base":2},"right_expr":{"type":"numeric_atoms","value":2787,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5572,"base":2},"right_expr":{"type":"numeric_atoms","value":4088,"base":2}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6143,"base":2},"right_expr":{"type":"numeric_atoms","value":2661,"base":2}}}}},"used_operators":["2DDjHMKMc0","XIabStNQrY","2DlMacCsIx","jLgFTUHLKL","SUmda5xLS4","Qy55tPpLXF","rGHVDoGpnC","9HNa5Wba9A","QMFrweE19q","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"≮⫘↔-110111110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1224","layer":4},{"info":"compute unary expreesion, input=1224, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-7012","layer":3},{"info":"number node, value=2730","layer":4},{"info":"number node, value=2819","layer":4},{"info":"compute binary expreesion, left_input=2730, right_input=2819, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-411405","layer":3},{"info":"compute binary expreesion, left_input=-7012, right_input=-411405, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-174","layer":2},{"info":"compute unary expreesion, input=-174, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-446","layer":1},{"info":"number node, value=1008","layer":4},{"info":"number node, value=2787","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=2787, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2809296","layer":3},{"info":"number node, value=5572","layer":4},{"info":"number node, value=4088","layer":4},{"info":"compute binary expreesion, left_input=5572, right_input=4088, 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=36819","layer":3},{"info":"compute binary expreesion, left_input=2809296, right_input=36819, 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=6143","layer":4},{"info":"number node, value=2661","layer":4},{"info":"compute binary expreesion, left_input=6143, right_input=2661, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8925","layer":3},{"info":"compute unary expreesion, input=-8925, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-17948","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-17948, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-446, right_input=67, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-446","layer":0}],"base":2,"result_base":2,"text":"(((↩≮⫘↔10011001000)⩨≮⫘↔101010101010⪄≮⫘↔101100000011)⇋≉)⋝⋈⪟((≮⫘↔1111110000*≮⫘↔101011100011)⨟⋌⩍(≮⫘↔1010111000100⫡⨏≮⫘↔111111111000)⋥≓≎((≮⫘↔1011111111111⩚⊴⇥≮⫘↔101001100101)⇋≉))=≮⫘↔-110111110","reverse_text":"≮⫘↔-110111110=(((↩≮⫘↔10011001000)⩨≮⫘↔101010101010⪄≮⫘↔101100000011)⇋≉)⋝⋈⪟((≮⫘↔1111110000*≮⫘↔101011100011)⨟⋌⩍(≮⫘↔1010111000100⫡⨏≮⫘↔111111111000)⋥≓≎((≮⫘↔1011111111111⩚⊴⇥≮⫘↔101001100101)⇋≉))","cot":[{"info":"↩≮⫘↔10011001000=≮⫘↔-1101101100100","layer":3},{"info":"≮⫘↔101010101010⪄≮⫘↔101100000011=≮⫘↔-1100100011100001101","layer":3},{"info":"≮⫘↔-1101101100100⩨≮⫘↔-1100100011100001101=≮⫘↔-10101110","layer":2},{"info":"≮⫘↔-10101110⇋≉=≮⫘↔-110111110","layer":1},{"info":"≮⫘↔1111110000*≮⫘↔101011100011=≮⫘↔1010101101110111010000","layer":3},{"info":"≮⫘↔1010111000100⫡⨏≮⫘↔111111111000=≮⫘↔1000111111010011","layer":3},{"info":"≮⫘↔1010101101110111010000⨟⋌⩍≮⫘↔1000111111010011=NaN","layer":2},{"info":"≮⫘↔1011111111111⩚⊴⇥≮⫘↔101001100101=≮⫘↔-10001011011101","layer":3},{"info":"≮⫘↔-10001011011101⇋≉=≮⫘↔-100011000011100","layer":2},{"info":"NaN⋥≓≎≮⫘↔-100011000011100=≮⫘↔1000011","layer":1},{"info":"≮⫘↔-110111110⋝⋈⪟≮⫘↔1000011=≮⫘↔-110111110","layer":0}]}
{"id":131,"expression_no_base_symbol":"(↩($1088$↛⩡⫤))↺($1410$⇼⇔∾$2415$)⊴($7267$⨽$5232$)∲⫓(⨑⩽⪐($1306$⨁⊸⫻))⨪↰⇹(($2866$⩤)⇋≉)","expression":"(↩(≮⫘↔10001000000↛⩡⫤))↺(≮⫘↔10110000010⇼⇔∾≮⫘↔100101101111)⊴(≮⫘↔1110001100011⨽≮⫘↔1010001110000)∲⫓(⨑⩽⪐(≮⫘↔10100011010⨁⊸⫻))⨪↰⇹((≮⫘↔101100110010⩤)⇋≉)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11749,"operation_count":12,"complexity_ratio":979.0833333333334,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1088,"base":2}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1410,"base":2},"right_expr":{"type":"numeric_atoms","value":2415,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7267,"base":2},"right_expr":{"type":"numeric_atoms","value":5232,"base":2}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1306,"base":2}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2866,"base":2}}}}},"used_operators":["i8ToyICDmI","7j4O788W3g","jLgFTUHLKL","FU0Cs4j7VP","Nsiff2A1zJ","tifHPKVTfV","8HhzD0ZcuI","tmPS8pqC7x","AF7qkfDlqP","glklzrTFfD","XIabStNQrY","Z2TMIBDE3Q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1088","layer":4},{"info":"compute unary expreesion, input=1088, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-160377","layer":3},{"info":"compute unary expreesion, input=-160377, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=644128","layer":2},{"info":"number node, value=1410","layer":4},{"info":"number node, value=2415","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=2415, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1005","layer":3},{"info":"number node, value=7267","layer":4},{"info":"number node, value=5232","layer":4},{"info":"compute binary expreesion, left_input=7267, right_input=5232, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-158442249","layer":3},{"info":"compute binary expreesion, left_input=1005, right_input=-158442249, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=644128, 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":"number node, value=1306","layer":4},{"info":"compute unary expreesion, input=1306, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1306","layer":3},{"info":"compute unary expreesion, input=1306, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1033","layer":2},{"info":"number node, value=2866","layer":4},{"info":"compute unary expreesion, input=2866, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2866","layer":3},{"info":"compute unary expreesion, input=-2866, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-5830","layer":2},{"info":"compute binary expreesion, left_input=-1033, right_input=-5830, 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=1033","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1033, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(↩(≮⫘↔10001000000↛⩡⫤))↺(≮⫘↔10110000010⇼⇔∾≮⫘↔100101101111)⊴(≮⫘↔1110001100011⨽≮⫘↔1010001110000)∲⫓(⨑⩽⪐(≮⫘↔10100011010⨁⊸⫻))⨪↰⇹((≮⫘↔101100110010⩤)⇋≉)=≮⫘↔0","reverse_text":"≮⫘↔0=(↩(≮⫘↔10001000000↛⩡⫤))↺(≮⫘↔10110000010⇼⇔∾≮⫘↔100101101111)⊴(≮⫘↔1110001100011⨽≮⫘↔1010001110000)∲⫓(⨑⩽⪐(≮⫘↔10100011010⨁⊸⫻))⨪↰⇹((≮⫘↔101100110010⩤)⇋≉)","cot":[{"info":"≮⫘↔10001000000↛⩡⫤=≮⫘↔-100111001001111001","layer":3},{"info":"↩≮⫘↔-100111001001111001=≮⫘↔10011101010000100000","layer":2},{"info":"≮⫘↔10110000010⇼⇔∾≮⫘↔100101101111=≮⫘↔1111101101","layer":3},{"info":"≮⫘↔1110001100011⨽≮⫘↔1010001110000=≮⫘↔-1001011100011010001100001001","layer":3},{"info":"≮⫘↔1111101101⊴≮⫘↔-1001011100011010001100001001=NaN","layer":2},{"info":"≮⫘↔10011101010000100000↺NaN=NaN","layer":1},{"info":"≮⫘↔10100011010⨁⊸⫻=≮⫘↔10100011010","layer":3},{"info":"⨑⩽⪐≮⫘↔10100011010=≮⫘↔-10000001001","layer":2},{"info":"≮⫘↔101100110010⩤=≮⫘↔-101100110010","layer":3},{"info":"≮⫘↔-101100110010⇋≉=≮⫘↔-1011011000110","layer":2},{"info":"≮⫘↔-10000001001⨪↰⇹≮⫘↔-1011011000110=≮⫘↔10000001001","layer":1},{"info":"NaN∲⫓≮⫘↔10000001001=≮⫘↔0","layer":0}]}
{"id":132,"expression_no_base_symbol":"((($2386$⩨$1417$)⨳⩥⨓($2606$⫌⩹⨱))⩠)⫩⊇","expression":"(((≮⫘↔100101010010⩨≮⫘↔10110001001)⨳⩥⨓(≮⫘↔101000101110⫌⩹⨱))⩠)⫩⊇","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":34,"operation_count":5,"complexity_ratio":6.8,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2386,"base":2},"right_expr":{"type":"numeric_atoms","value":1417,"base":2}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2606,"base":2}}}}},"used_operators":["BjRHVeLaeN","sJAwomhLZr","nCS4ZIUYfx","2DlMacCsIx","EBcxylXtPf"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z"],"result":"≮⫘↔101010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2386","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=2386, right_input=1417, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2606","layer":4},{"info":"compute unary expreesion, input=2606, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6613","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6613, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=6613","layer":2},{"info":"compute unary expreesion, input=6613, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=42","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔100101010010⩨≮⫘↔10110001001)⨳⩥⨓(≮⫘↔101000101110⫌⩹⨱))⩠)⫩⊇=≮⫘↔101010","reverse_text":"≮⫘↔101010=(((≮⫘↔100101010010⩨≮⫘↔10110001001)⨳⩥⨓(≮⫘↔101000101110⫌⩹⨱))⩠)⫩⊇","cot":[{"info":"≮⫘↔100101010010⩨≮⫘↔10110001001=≮⫘↔0","layer":3},{"info":"≮⫘↔101000101110⫌⩹⨱=≮⫘↔1100111010101","layer":3},{"info":"≮⫘↔0⨳⩥⨓≮⫘↔1100111010101=≮⫘↔1100111010101","layer":2},{"info":"≮⫘↔1100111010101⩠=≮⫘↔0","layer":1},{"info":"≮⫘↔0⫩⊇=≮⫘↔101010","layer":0}]}
{"id":133,"expression_no_base_symbol":"(⊙↵-($1041$⨎$1636$⋷$1008$↺$2704$))⨸⪁($6719$⨎$1073$↪⪝)⨐⩸⫘((⩦⩻⨪$7153$)%$2106$⨳⩥⨓$6450$)","expression":"(⊙↵-(≮⫘↔10000010001⨎≮⫘↔11001100100⋷≮⫘↔1111110000↺≮⫘↔101010010000))⨸⪁(≮⫘↔1101000111111⨎≮⫘↔10000110001↪⪝)⨐⩸⫘((⩦⩻⨪≮⫘↔1101111110001)%≮⫘↔100000111010⨳⩥⨓≮⫘↔1100100110010)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4536,"operation_count":11,"complexity_ratio":412.3636363636364,"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":1041,"base":2},"right_expr":{"type":"numeric_atoms","value":1636,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1008,"base":2},"right_expr":{"type":"numeric_atoms","value":2704,"base":2}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6719,"base":2},"right_expr":{"type":"numeric_atoms","value":1073,"base":2}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":7153,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2106,"base":2},"right_expr":{"type":"numeric_atoms","value":6450,"base":2}}}}},"used_operators":["g55IO6H4Gj","oWn0xqSxBt","23Mk6UjR3U","rJVOvQCfKK","7j4O788W3g","fu6greOZ01","l07mrZUIn9","k8jYdgA6NY","2td37pGCOC","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1041","layer":4},{"info":"number node, value=1636","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=1636, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1636","layer":3},{"info":"number node, value=1008","layer":4},{"info":"number node, value=2704","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=2704, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2704","layer":3},{"info":"compute binary expreesion, left_input=1636, right_input=2704, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3772","layer":2},{"info":"compute unary expreesion, input=3772, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=6719","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=6719, right_input=1073, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1073","layer":3},{"info":"compute unary expreesion, input=1073, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=65648286","layer":2},{"info":"number node, value=7153","layer":4},{"info":"compute unary expreesion, input=7153, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7153","layer":3},{"info":"number node, value=2106","layer":4},{"info":"number node, value=6450","layer":4},{"info":"compute binary expreesion, left_input=2106, right_input=6450, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4344","layer":3},{"info":"compute binary expreesion, left_input=7153, right_input=4344, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2809","layer":2},{"info":"compute binary expreesion, left_input=65648286, right_input=2809, 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=-1, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊙↵-(≮⫘↔10000010001⨎≮⫘↔11001100100⋷≮⫘↔1111110000↺≮⫘↔101010010000))⨸⪁(≮⫘↔1101000111111⨎≮⫘↔10000110001↪⪝)⨐⩸⫘((⩦⩻⨪≮⫘↔1101111110001)%≮⫘↔100000111010⨳⩥⨓≮⫘↔1100100110010)=NaN","reverse_text":"NaN=(⊙↵-(≮⫘↔10000010001⨎≮⫘↔11001100100⋷≮⫘↔1111110000↺≮⫘↔101010010000))⨸⪁(≮⫘↔1101000111111⨎≮⫘↔10000110001↪⪝)⨐⩸⫘((⩦⩻⨪≮⫘↔1101111110001)%≮⫘↔100000111010⨳⩥⨓≮⫘↔1100100110010)","cot":[{"info":"≮⫘↔10000010001⨎≮⫘↔11001100100=≮⫘↔11001100100","layer":3},{"info":"≮⫘↔1111110000↺≮⫘↔101010010000=≮⫘↔101010010000","layer":3},{"info":"≮⫘↔11001100100⋷≮⫘↔101010010000=≮⫘↔111010111100","layer":2},{"info":"⊙↵-≮⫘↔111010111100=≮⫘↔-1","layer":1},{"info":"≮⫘↔1101000111111⨎≮⫘↔10000110001=≮⫘↔10000110001","layer":3},{"info":"≮⫘↔10000110001↪⪝=≮⫘↔11111010011011011010011110","layer":2},{"info":"⩦⩻⨪≮⫘↔1101111110001=≮⫘↔1101111110001","layer":3},{"info":"≮⫘↔100000111010⨳⩥⨓≮⫘↔1100100110010=≮⫘↔1000011111000","layer":3},{"info":"≮⫘↔1101111110001%≮⫘↔1000011111000=≮⫘↔101011111001","layer":2},{"info":"≮⫘↔11111010011011011010011110⨐⩸⫘≮⫘↔101011111001=NaN","layer":1},{"info":"≮⫘↔-1⨸⪁NaN=NaN","layer":0}]}
{"id":134,"expression_no_base_symbol":"(≤/$1238$∑⇟⊟$3274$⩚⊴⇥($2163$⊉≛↸$1792$))⇷(($2674$⪮%⊝$1839$≧⫂∧$1216$⪛$2705$)∧)","expression":"(≤/≮⫘↔10011010110∑⇟⊟≮⫘↔110011001010⩚⊴⇥(≮⫘↔100001110011⊉≛↸≮⫘↔11100000000))⇷((≮⫘↔101001110010⪮%⊝≮⫘↔11100101111≧⫂∧≮⫘↔10011000000⪛≮⫘↔101010010001)∧)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":34,"operation_count":9,"complexity_ratio":3.7777777777777777,"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":1238,"base":2},"right_expr":{"type":"numeric_atoms","value":3274,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2163,"base":2},"right_expr":{"type":"numeric_atoms","value":1792,"base":2}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2674,"base":2},"right_expr":{"type":"numeric_atoms","value":1839,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1216,"base":2},"right_expr":{"type":"numeric_atoms","value":2705,"base":2}}}}},"used_operators":["mp7IySMOzn","eLAdDNolq6","NTOWxs364D","U7g4x0WXJJ","DZ8iAZOCBD","z63VuFQld9","Ph9nP6C5qx","IWmyXbctLI","uFcxV4UQCh"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1238","layer":4},{"info":"number node, value=3274","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=3274, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2163","layer":4},{"info":"number node, value=1792","layer":4},{"info":"compute binary expreesion, left_input=2163, right_input=1792, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4326","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4326, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"number node, value=2674","layer":4},{"info":"number node, value=1839","layer":4},{"info":"compute binary expreesion, left_input=2674, right_input=1839, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5664","layer":3},{"info":"number node, value=1216","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=2705, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1216","layer":3},{"info":"compute binary expreesion, left_input=5664, right_input=1216, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=743","layer":2},{"info":"compute unary expreesion, input=743, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≤/≮⫘↔10011010110∑⇟⊟≮⫘↔110011001010⩚⊴⇥(≮⫘↔100001110011⊉≛↸≮⫘↔11100000000))⇷((≮⫘↔101001110010⪮%⊝≮⫘↔11100101111≧⫂∧≮⫘↔10011000000⪛≮⫘↔101010010001)∧)=NaN","reverse_text":"NaN=(≤/≮⫘↔10011010110∑⇟⊟≮⫘↔110011001010⩚⊴⇥(≮⫘↔100001110011⊉≛↸≮⫘↔11100000000))⇷((≮⫘↔101001110010⪮%⊝≮⫘↔11100101111≧⫂∧≮⫘↔10011000000⪛≮⫘↔101010010001)∧)","cot":[{"info":"≮⫘↔10011010110∑⇟⊟≮⫘↔110011001010=NaN","layer":3},{"info":"≮⫘↔100001110011⊉≛↸≮⫘↔11100000000=≮⫘↔1000011100110","layer":3},{"info":"NaN⩚⊴⇥≮⫘↔1000011100110=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"≮⫘↔101001110010⪮%⊝≮⫘↔11100101111=≮⫘↔1011000100000","layer":3},{"info":"≮⫘↔10011000000⪛≮⫘↔101010010001=≮⫘↔10011000000","layer":3},{"info":"≮⫘↔1011000100000≧⫂∧≮⫘↔10011000000=≮⫘↔1011100111","layer":2},{"info":"≮⫘↔1011100111∧=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":135,"expression_no_base_symbol":"($5173$⋓$1223$⋷($4570$⫡⨏$4242$))⩷∴($9003$⪛$2938$⨎($2379$↺$4546$))⩤","expression":"(≮⫘↔1010000110101⋓≮⫘↔10011000111⋷(≮⫘↔1000111011010⫡⨏≮⫘↔1000010010010))⩷∴(≮⫘↔10001100101011⪛≮⫘↔101101111010⨎(≮⫘↔100101001011↺≮⫘↔1000111000010))⩤","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":38,"operation_count":8,"complexity_ratio":4.75,"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":5173,"base":2},"right_expr":{"type":"numeric_atoms","value":1223,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4570,"base":2},"right_expr":{"type":"numeric_atoms","value":4242,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":9003,"base":2},"right_expr":{"type":"numeric_atoms","value":2938,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2379,"base":2},"right_expr":{"type":"numeric_atoms","value":4546,"base":2}}}}},"used_operators":["Z2TMIBDE3Q","9FxExcQeMw","23Mk6UjR3U","T2fj7uvVaJ","QMFrweE19q","rJVOvQCfKK","uFcxV4UQCh","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔10001110100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5173","layer":4},{"info":"number node, value=1223","layer":4},{"info":"compute binary expreesion, left_input=5173, right_input=1223, 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=4570","layer":4},{"info":"number node, value=4242","layer":4},{"info":"compute binary expreesion, left_input=4570, right_input=4242, 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=32117","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=32117, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":2},{"info":"number node, value=9003","layer":4},{"info":"number node, value=2938","layer":4},{"info":"compute binary expreesion, left_input=9003, right_input=2938, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=189","layer":3},{"info":"number node, value=2379","layer":4},{"info":"number node, value=4546","layer":4},{"info":"compute binary expreesion, left_input=2379, right_input=4546, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4546","layer":3},{"info":"compute binary expreesion, left_input=189, right_input=4546, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4546","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4546, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-9124","layer":1},{"info":"compute unary expreesion, input=-9124, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=9124","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1010000110101⋓≮⫘↔10011000111⋷(≮⫘↔1000111011010⫡⨏≮⫘↔1000010010010))⩷∴(≮⫘↔10001100101011⪛≮⫘↔101101111010⨎(≮⫘↔100101001011↺≮⫘↔1000111000010))⩤=≮⫘↔10001110100100","reverse_text":"≮⫘↔10001110100100=(≮⫘↔1010000110101⋓≮⫘↔10011000111⋷(≮⫘↔1000111011010⫡⨏≮⫘↔1000010010010))⩷∴(≮⫘↔10001100101011⪛≮⫘↔101101111010⨎(≮⫘↔100101001011↺≮⫘↔1000111000010))⩤","cot":[{"info":"≮⫘↔1010000110101⋓≮⫘↔10011000111=≮⫘↔0","layer":3},{"info":"≮⫘↔1000111011010⫡⨏≮⫘↔1000010010010=≮⫘↔111110101110101","layer":3},{"info":"≮⫘↔0⋷≮⫘↔111110101110101=≮⫘↔0","layer":2},{"info":"≮⫘↔10001100101011⪛≮⫘↔101101111010=≮⫘↔10111101","layer":3},{"info":"≮⫘↔100101001011↺≮⫘↔1000111000010=≮⫘↔1000111000010","layer":3},{"info":"≮⫘↔10111101⨎≮⫘↔1000111000010=≮⫘↔1000111000010","layer":2},{"info":"≮⫘↔0⩷∴≮⫘↔1000111000010=≮⫘↔-10001110100100","layer":1},{"info":"≮⫘↔-10001110100100⩤=≮⫘↔10001110100100","layer":0}]}
{"id":136,"expression_no_base_symbol":"(($3707$⊴$6909$⨐⩸⫘(↥$1007$))≭(↔($6128$⪢$1252$)))⪮%⊝((↯⪼($1454$⨽$3860$))≧⫂∧(⋗⩬⋾$4792$≧⫂∧$4341$))","expression":"((≮⫘↔111001111011⊴≮⫘↔1101011111101⨐⩸⫘(↥≮⫘↔1111101111))≭(↔(≮⫘↔1011111110000⪢≮⫘↔10011100100)))⪮%⊝((↯⪼(≮⫘↔10110101110⨽≮⫘↔111100010100))≧⫂∧(⋗⩬⋾≮⫘↔1001010111000≧⫂∧≮⫘↔1000011110101))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":12105,"operation_count":12,"complexity_ratio":1008.75,"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":3707,"base":2},"right_expr":{"type":"numeric_atoms","value":6909,"base":2}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1007,"base":2}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6128,"base":2},"right_expr":{"type":"numeric_atoms","value":1252,"base":2}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1454,"base":2},"right_expr":{"type":"numeric_atoms","value":3860,"base":2}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4792,"base":2},"right_expr":{"type":"numeric_atoms","value":4341,"base":2}}}}},"used_operators":["IWmyXbctLI","rxpJgHHUmx","fu6greOZ01","Nsiff2A1zJ","A8NUZmVepG","ruOEQAzv1W","dWAJyo7jo9","Ph9nP6C5qx","8jW3W4yZS5","8HhzD0ZcuI","DpFCA1CohY"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3707","layer":4},{"info":"number node, value=6909","layer":4},{"info":"compute binary expreesion, left_input=3707, right_input=6909, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1007","layer":4},{"info":"compute unary expreesion, input=1007, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=38","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=38, 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=-41","layer":2},{"info":"number node, value=6128","layer":4},{"info":"number node, value=1252","layer":4},{"info":"compute binary expreesion, left_input=6128, right_input=1252, 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 = 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=-41, right_input=-134, 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=1454","layer":4},{"info":"number node, value=3860","layer":4},{"info":"compute binary expreesion, left_input=1454, right_input=3860, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6352614","layer":3},{"info":"compute unary expreesion, input=-6352614, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=12704311","layer":2},{"info":"number node, value=4792","layer":4},{"info":"number node, value=4341","layer":4},{"info":"compute binary expreesion, left_input=4792, right_input=4341, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3868","layer":3},{"info":"compute unary expreesion, input=3868, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-11604","layer":2},{"info":"compute binary expreesion, left_input=12704311, right_input=-11604, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=12715915","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=12715915, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111001111011⊴≮⫘↔1101011111101⨐⩸⫘(↥≮⫘↔1111101111))≭(↔(≮⫘↔1011111110000⪢≮⫘↔10011100100)))⪮%⊝((↯⪼(≮⫘↔10110101110⨽≮⫘↔111100010100))≧⫂∧(⋗⩬⋾≮⫘↔1001010111000≧⫂∧≮⫘↔1000011110101))=NaN","reverse_text":"NaN=((≮⫘↔111001111011⊴≮⫘↔1101011111101⨐⩸⫘(↥≮⫘↔1111101111))≭(↔(≮⫘↔1011111110000⪢≮⫘↔10011100100)))⪮%⊝((↯⪼(≮⫘↔10110101110⨽≮⫘↔111100010100))≧⫂∧(⋗⩬⋾≮⫘↔1001010111000≧⫂∧≮⫘↔1000011110101))","cot":[{"info":"≮⫘↔111001111011⊴≮⫘↔1101011111101=NaN","layer":3},{"info":"↥≮⫘↔1111101111=≮⫘↔100110","layer":3},{"info":"NaN⨐⩸⫘≮⫘↔100110=≮⫘↔-101001","layer":2},{"info":"≮⫘↔1011111110000⪢≮⫘↔10011100100=NaN","layer":3},{"info":"↔NaN=≮⫘↔-10000110","layer":2},{"info":"≮⫘↔-101001≭≮⫘↔-10000110=NaN","layer":1},{"info":"≮⫘↔10110101110⨽≮⫘↔111100010100=≮⫘↔-11000001110111011100110","layer":3},{"info":"↯⪼≮⫘↔-11000001110111011100110=≮⫘↔110000011101101000110111","layer":2},{"info":"≮⫘↔1001010111000≧⫂∧≮⫘↔1000011110101=≮⫘↔111100011100","layer":3},{"info":"⋗⩬⋾≮⫘↔111100011100=≮⫘↔-10110101010100","layer":2},{"info":"≮⫘↔110000011101101000110111≧⫂∧≮⫘↔-10110101010100=≮⫘↔110000100000011110001011","layer":1},{"info":"NaN⪮%⊝≮⫘↔110000100000011110001011=NaN","layer":0}]}
{"id":137,"expression_no_base_symbol":"↯⪼((⨞⊢$1011$≧⫂∧$8443$)⨰($2736$⪮%⊝$5616$⋷$2547$⨟⋌⩍$2676$))","expression":"↯⪼((⨞⊢≮⫘↔1111110011≧⫂∧≮⫘↔10000011111011)⨰(≮⫘↔101010110000⪮%⊝≮⫘↔1010111110000⋷≮⫘↔100111110011⨟⋌⩍≮⫘↔101001110100))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":53,"operation_count":7,"complexity_ratio":7.571428571428571,"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":1011,"base":2},"right_expr":{"type":"numeric_atoms","value":8443,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2736,"base":2},"right_expr":{"type":"numeric_atoms","value":5616,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2547,"base":2},"right_expr":{"type":"numeric_atoms","value":2676,"base":2}}}}},"used_operators":["8jW3W4yZS5","eewbuw0ToL","xUOZtlo3hN","Ph9nP6C5qx","23Mk6UjR3U","IWmyXbctLI","rGHVDoGpnC"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Tcnh7f0tEr"],"result":"≮⫘↔-10101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1011","layer":4},{"info":"number node, value=8443","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=8443, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7970","layer":3},{"info":"compute unary expreesion, input=7970, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-8144","layer":2},{"info":"number node, value=2736","layer":4},{"info":"number node, value=5616","layer":4},{"info":"compute binary expreesion, left_input=2736, right_input=5616, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5788","layer":3},{"info":"number node, value=2547","layer":4},{"info":"number node, value=2676","layer":4},{"info":"compute binary expreesion, left_input=2547, right_input=2676, 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=5788, right_input=nan, 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=-8144, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":2,"result_base":2,"text":"↯⪼((⨞⊢≮⫘↔1111110011≧⫂∧≮⫘↔10000011111011)⨰(≮⫘↔101010110000⪮%⊝≮⫘↔1010111110000⋷≮⫘↔100111110011⨟⋌⩍≮⫘↔101001110100))=≮⫘↔-10101","reverse_text":"≮⫘↔-10101=↯⪼((⨞⊢≮⫘↔1111110011≧⫂∧≮⫘↔10000011111011)⨰(≮⫘↔101010110000⪮%⊝≮⫘↔1010111110000⋷≮⫘↔100111110011⨟⋌⩍≮⫘↔101001110100))","cot":[{"info":"≮⫘↔1111110011≧⫂∧≮⫘↔10000011111011=≮⫘↔1111100100010","layer":3},{"info":"⨞⊢≮⫘↔1111100100010=≮⫘↔-1111111010000","layer":2},{"info":"≮⫘↔101010110000⪮%⊝≮⫘↔1010111110000=≮⫘↔1011010011100","layer":3},{"info":"≮⫘↔100111110011⨟⋌⩍≮⫘↔101001110100=NaN","layer":3},{"info":"≮⫘↔1011010011100⋷NaN=NaN","layer":2},{"info":"≮⫘↔-1111111010000⨰NaN=NaN","layer":1},{"info":"↯⪼NaN=≮⫘↔-10101","layer":0}]}
{"id":138,"expression_no_base_symbol":"((⇁⨣⪵$3841$)+(⊙↵-$1137$))≧⫂∧(($3421$⊘)⊭↱($3657$⪐))↺(⊙↵-((⇁⨣⪵$1317$)⇷($3298$⩚⊴⇥$1729$)))","expression":"((⇁⨣⪵≮⫘↔111100000001)+(⊙↵-≮⫘↔10001110001))≧⫂∧((≮⫘↔110101011101⊘)⊭↱(≮⫘↔111001001001⪐))↺(⊙↵-((⇁⨣⪵≮⫘↔10100100101)⇷(≮⫘↔110011100010⩚⊴⇥≮⫘↔11011000001)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1255,"operation_count":12,"complexity_ratio":104.58333333333333,"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":3841,"base":2}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1137,"base":2}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3421,"base":2}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3657,"base":2}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1317,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3298,"base":2},"right_expr":{"type":"numeric_atoms","value":1729,"base":2}}}}},"used_operators":["7j4O788W3g","Ph9nP6C5qx","W4YGzv6Whe","inkyxCbjAn","oWn0xqSxBt","COABgblf1C","gu96TGCTMs","eH2TOUuTDT","mp7IySMOzn","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3841","layer":4},{"info":"compute unary expreesion, input=3841, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1137","layer":4},{"info":"compute unary expreesion, input=1137, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3421","layer":4},{"info":"compute unary expreesion, input=3421, 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=3657","layer":4},{"info":"compute unary expreesion, input=3657, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=7314","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7314, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=14633","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=14633, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=14160","layer":1},{"info":"number node, value=1317","layer":4},{"info":"compute unary expreesion, input=1317, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3298","layer":4},{"info":"number node, value=1729","layer":4},{"info":"compute binary expreesion, left_input=3298, right_input=1729, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5148","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5148, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=14160, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⇁⨣⪵≮⫘↔111100000001)+(⊙↵-≮⫘↔10001110001))≧⫂∧((≮⫘↔110101011101⊘)⊭↱(≮⫘↔111001001001⪐))↺(⊙↵-((⇁⨣⪵≮⫘↔10100100101)⇷(≮⫘↔110011100010⩚⊴⇥≮⫘↔11011000001)))=NaN","reverse_text":"NaN=((⇁⨣⪵≮⫘↔111100000001)+(⊙↵-≮⫘↔10001110001))≧⫂∧((≮⫘↔110101011101⊘)⊭↱(≮⫘↔111001001001⪐))↺(⊙↵-((⇁⨣⪵≮⫘↔10100100101)⇷(≮⫘↔110011100010⩚⊴⇥≮⫘↔11011000001)))","cot":[{"info":"⇁⨣⪵≮⫘↔111100000001=NaN","layer":3},{"info":"⊙↵-≮⫘↔10001110001=≮⫘↔-1","layer":3},{"info":"NaN+≮⫘↔-1=NaN","layer":2},{"info":"≮⫘↔110101011101⊘=≮⫘↔0","layer":3},{"info":"≮⫘↔111001001001⪐=≮⫘↔1110010010010","layer":3},{"info":"≮⫘↔0⊭↱≮⫘↔1110010010010=≮⫘↔11100100101001","layer":2},{"info":"NaN≧⫂∧≮⫘↔11100100101001=≮⫘↔11011101010000","layer":1},{"info":"⇁⨣⪵≮⫘↔10100100101=NaN","layer":3},{"info":"≮⫘↔110011100010⩚⊴⇥≮⫘↔11011000001=≮⫘↔-1010000011100","layer":3},{"info":"NaN⇷≮⫘↔-1010000011100=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"≮⫘↔11011101010000↺NaN=NaN","layer":0}]}
{"id":139,"expression_no_base_symbol":"(↥($2943$⩤)⪢($3308$⨳⩥⨓$3973$))%(($2405$⨁⊸⫻)⫥∨⫟($2822$⪄$6591$))∼(≉($1066$⪠⩆⊳))","expression":"(↥(≮⫘↔101101111111⩤)⪢(≮⫘↔110011101100⨳⩥⨓≮⫘↔111110000101))%((≮⫘↔100101100101⨁⊸⫻)⫥∨⫟(≮⫘↔101100000110⪄≮⫘↔1100110111111))∼(≉(≮⫘↔10000101010⪠⩆⊳))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3330,"operation_count":11,"complexity_ratio":302.72727272727275,"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":2943,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3308,"base":2},"right_expr":{"type":"numeric_atoms","value":3973,"base":2}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2405,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2822,"base":2},"right_expr":{"type":"numeric_atoms","value":6591,"base":2}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1066,"base":2}}}}},"used_operators":["k8jYdgA6NY","A8NUZmVepG","dWAJyo7jo9","Z2TMIBDE3Q","nCS4ZIUYfx","DyGG3AbaNP","KYD54nUTWz","glklzrTFfD","SUmda5xLS4","e1ybzncUwg","JLbD19bQDL"],"dependent_operators":["rysDP5nf3Z","k8jYdgA6NY","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2943","layer":4},{"info":"compute unary expreesion, input=2943, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2943","layer":3},{"info":"number node, value=3308","layer":4},{"info":"number node, value=3973","layer":4},{"info":"compute binary expreesion, left_input=3308, right_input=3973, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=665","layer":3},{"info":"compute binary expreesion, left_input=-2943, right_input=665, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"number node, value=2405","layer":4},{"info":"compute unary expreesion, input=2405, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2405","layer":3},{"info":"number node, value=2822","layer":4},{"info":"number node, value=6591","layer":4},{"info":"compute binary expreesion, left_input=2822, right_input=6591, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-440109","layer":3},{"info":"compute binary expreesion, left_input=2405, right_input=-440109, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1066","layer":4},{"info":"compute unary expreesion, input=1066, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=531, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↥(≮⫘↔101101111111⩤)⪢(≮⫘↔110011101100⨳⩥⨓≮⫘↔111110000101))%((≮⫘↔100101100101⨁⊸⫻)⫥∨⫟(≮⫘↔101100000110⪄≮⫘↔1100110111111))∼(≉(≮⫘↔10000101010⪠⩆⊳))=NaN","reverse_text":"NaN=(↥(≮⫘↔101101111111⩤)⪢(≮⫘↔110011101100⨳⩥⨓≮⫘↔111110000101))%((≮⫘↔100101100101⨁⊸⫻)⫥∨⫟(≮⫘↔101100000110⪄≮⫘↔1100110111111))∼(≉(≮⫘↔10000101010⪠⩆⊳))","cot":[{"info":"≮⫘↔101101111111⩤=≮⫘↔-101101111111","layer":3},{"info":"≮⫘↔110011101100⨳⩥⨓≮⫘↔111110000101=≮⫘↔1010011001","layer":3},{"info":"≮⫘↔-101101111111⪢≮⫘↔1010011001=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"≮⫘↔100101100101⨁⊸⫻=≮⫘↔100101100101","layer":3},{"info":"≮⫘↔101100000110⪄≮⫘↔1100110111111=≮⫘↔-1101011011100101101","layer":3},{"info":"≮⫘↔100101100101⫥∨⫟≮⫘↔-1101011011100101101=NaN","layer":2},{"info":"≮⫘↔10000101010⪠⩆⊳=≮⫘↔0","layer":3},{"info":"≉≮⫘↔0=≮⫘↔1000010011","layer":2},{"info":"NaN∼≮⫘↔1000010011=≮⫘↔0","layer":1},{"info":"NaN%≮⫘↔0=NaN","layer":0}]}
{"id":140,"expression_no_base_symbol":"((($2989$+$1037$)≋⫹)⊉≛↸((∂$1059$)*$3270$↙$5276$))⨰($1770$∑⇟⊟$1030$)≹⇙⪍($1022$⫸⊐$6032$)⪛((≤/$1264$)≦≮≮)","expression":"(((≮⫘↔101110101101+≮⫘↔10000001101)≋⫹)⊉≛↸((∂≮⫘↔10000100011)*≮⫘↔110011000110↙≮⫘↔1010010011100))⨰(≮⫘↔11011101010∑⇟⊟≮⫘↔10000000110)≹⇙⪍(≮⫘↔1111111110⫸⊐≮⫘↔1011110010000)⪛((≤/≮⫘↔10011110000)≦≮≮)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5329,"operation_count":13,"complexity_ratio":409.9230769230769,"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":2989,"base":2},"right_expr":{"type":"numeric_atoms","value":1037,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1059,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3270,"base":2},"right_expr":{"type":"numeric_atoms","value":5276,"base":2}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1770,"base":2},"right_expr":{"type":"numeric_atoms","value":1030,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1022,"base":2},"right_expr":{"type":"numeric_atoms","value":6032,"base":2}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1264,"base":2}}}}},"used_operators":["eewbuw0ToL","DZ8iAZOCBD","N41Kp7NANJ","W4YGzv6Whe","9HNa5Wba9A","Uaa54Peajs","yyfyN0ffXY","uFcxV4UQCh","AHs5Up7iyr","U7g4x0WXJJ","mqXw5SEYmG","D4vGDi5EA2","eLAdDNolq6"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2989","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=2989, right_input=1037, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4026","layer":3},{"info":"compute unary expreesion, input=4026, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-8052","layer":2},{"info":"number node, value=1059","layer":4},{"info":"compute unary expreesion, input=1059, 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=3270","layer":4},{"info":"number node, value=5276","layer":4},{"info":"compute binary expreesion, left_input=3270, right_input=5276, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15828","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-15828, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-8052, right_input=nan, 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=1770","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=1770, right_input=1030, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1022","layer":4},{"info":"number node, value=6032","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=6032, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=24003","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=24003, 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=1264","layer":4},{"info":"compute unary expreesion, input=1264, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-780","layer":3},{"info":"compute unary expreesion, input=-780, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=2340","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2340, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔101110101101+≮⫘↔10000001101)≋⫹)⊉≛↸((∂≮⫘↔10000100011)*≮⫘↔110011000110↙≮⫘↔1010010011100))⨰(≮⫘↔11011101010∑⇟⊟≮⫘↔10000000110)≹⇙⪍(≮⫘↔1111111110⫸⊐≮⫘↔1011110010000)⪛((≤/≮⫘↔10011110000)≦≮≮)=NaN","reverse_text":"NaN=(((≮⫘↔101110101101+≮⫘↔10000001101)≋⫹)⊉≛↸((∂≮⫘↔10000100011)*≮⫘↔110011000110↙≮⫘↔1010010011100))⨰(≮⫘↔11011101010∑⇟⊟≮⫘↔10000000110)≹⇙⪍(≮⫘↔1111111110⫸⊐≮⫘↔1011110010000)⪛((≤/≮⫘↔10011110000)≦≮≮)","cot":[{"info":"≮⫘↔101110101101+≮⫘↔10000001101=≮⫘↔111110111010","layer":3},{"info":"≮⫘↔111110111010≋⫹=≮⫘↔-1111101110100","layer":2},{"info":"∂≮⫘↔10000100011=NaN","layer":3},{"info":"≮⫘↔110011000110↙≮⫘↔1010010011100=≮⫘↔-11110111010100","layer":3},{"info":"NaN*≮⫘↔-11110111010100=NaN","layer":2},{"info":"≮⫘↔-1111101110100⊉≛↸NaN=NaN","layer":1},{"info":"≮⫘↔11011101010∑⇟⊟≮⫘↔10000000110=NaN","layer":3},{"info":"≮⫘↔1111111110⫸⊐≮⫘↔1011110010000=≮⫘↔101110111000011","layer":3},{"info":"NaN≹⇙⪍≮⫘↔101110111000011=NaN","layer":2},{"info":"≤/≮⫘↔10011110000=≮⫘↔-1100001100","layer":3},{"info":"≮⫘↔-1100001100≦≮≮=≮⫘↔100100100100","layer":2},{"info":"NaN⪛≮⫘↔100100100100=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":141,"expression_no_base_symbol":"($3710$∧)⩚⊴⇥$1371$⪢$7799$⨐⩸⫘(⊙↵-$1092$)⨎($2634$⪨≂$1193$)⨸⪁$1284$∑⇟⊟$6247$⩷∴($1003$%$2347$)⋓(⊙↵-$1034$⊴$1088$)","expression":"(≮⫘↔111001111110∧)⩚⊴⇥≮⫘↔10101011011⪢≮⫘↔1111001110111⨐⩸⫘(⊙↵-≮⫘↔10001000100)⨎(≮⫘↔101001001010⪨≂≮⫘↔10010101001)⨸⪁≮⫘↔10100000100∑⇟⊟≮⫘↔1100001100111⩷∴(≮⫘↔1111101011%≮⫘↔100100101011)⋓(⊙↵-≮⫘↔10000001010⊴≮⫘↔10001000000)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10098,"operation_count":14,"complexity_ratio":721.2857142857143,"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":3710,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1371,"base":2},"right_expr":{"type":"numeric_atoms","value":7799,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1092,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2634,"base":2},"right_expr":{"type":"numeric_atoms","value":1193,"base":2}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1284,"base":2},"right_expr":{"type":"numeric_atoms","value":6247,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1003,"base":2},"right_expr":{"type":"numeric_atoms","value":2347,"base":2}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1034,"base":2},"right_expr":{"type":"numeric_atoms","value":1088,"base":2}}}}},"used_operators":["g55IO6H4Gj","fu6greOZ01","NTOWxs364D","z63VuFQld9","dWAJyo7jo9","rJVOvQCfKK","oWn0xqSxBt","sdazOOVcIp","T2fj7uvVaJ","9FxExcQeMw","U7g4x0WXJJ","k8jYdgA6NY","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=3710","layer":4},{"info":"compute unary expreesion, input=3710, 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=1371","layer":4},{"info":"number node, value=7799","layer":4},{"info":"compute binary expreesion, left_input=1371, right_input=7799, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=1092","layer":4},{"info":"compute unary expreesion, input=1092, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=2634","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=2634, right_input=1193, 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=2984","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=2984, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2984","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2984, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1284","layer":4},{"info":"number node, value=6247","layer":4},{"info":"compute binary expreesion, left_input=1284, right_input=6247, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1003","layer":4},{"info":"number node, value=2347","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=2347, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1003","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1003, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=1034","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=1088, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"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":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔111001111110∧)⩚⊴⇥≮⫘↔10101011011⪢≮⫘↔1111001110111⨐⩸⫘(⊙↵-≮⫘↔10001000100)⨎(≮⫘↔101001001010⪨≂≮⫘↔10010101001)⨸⪁≮⫘↔10100000100∑⇟⊟≮⫘↔1100001100111⩷∴(≮⫘↔1111101011%≮⫘↔100100101011)⋓(⊙↵-≮⫘↔10000001010⊴≮⫘↔10001000000)=NaN","reverse_text":"NaN=(≮⫘↔111001111110∧)⩚⊴⇥≮⫘↔10101011011⪢≮⫘↔1111001110111⨐⩸⫘(⊙↵-≮⫘↔10001000100)⨎(≮⫘↔101001001010⪨≂≮⫘↔10010101001)⨸⪁≮⫘↔10100000100∑⇟⊟≮⫘↔1100001100111⩷∴(≮⫘↔1111101011%≮⫘↔100100101011)⋓(⊙↵-≮⫘↔10000001010⊴≮⫘↔10001000000)","cot":[{"info":"≮⫘↔111001111110∧=NaN","layer":3},{"info":"≮⫘↔10101011011⪢≮⫘↔1111001110111=NaN","layer":3},{"info":"NaN⩚⊴⇥NaN=NaN","layer":2},{"info":"⊙↵-≮⫘↔10001000100=≮⫘↔-1","layer":3},{"info":"≮⫘↔101001001010⪨≂≮⫘↔10010101001=≮⫘↔101110101000","layer":3},{"info":"≮⫘↔-1⨎≮⫘↔101110101000=≮⫘↔101110101000","layer":2},{"info":"NaN⨐⩸⫘≮⫘↔101110101000=NaN","layer":1},{"info":"≮⫘↔10100000100∑⇟⊟≮⫘↔1100001100111=NaN","layer":3},{"info":"≮⫘↔1111101011%≮⫘↔100100101011=≮⫘↔1111101011","layer":3},{"info":"NaN⩷∴≮⫘↔1111101011=NaN","layer":2},{"info":"≮⫘↔10000001010⊴≮⫘↔10001000000=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":142,"expression_no_base_symbol":"$2030$⨟⋌⩍$2161$⨰($7599$⩠)⨰(($2172$-$1165$)⩨$4161$⋳⪒$4072$)⨳⩥⨓(≉$2235$⋝⋈⪟$2445$)↬($1976$*$2059$)⪘⫢($1369$⋥≓≎$2340$)","expression":"≮⫘↔11111101110⨟⋌⩍≮⫘↔100001110001⨰(≮⫘↔1110110101111⩠)⨰((≮⫘↔100001111100-≮⫘↔10010001101)⩨≮⫘↔1000001000001⋳⪒≮⫘↔111111101000)⨳⩥⨓(≉≮⫘↔100010111011⋝⋈⪟≮⫘↔100110001101)↬(≮⫘↔11110111000*≮⫘↔100000001011)⪘⫢(≮⫘↔10101011001⋥≓≎≮⫘↔100100100100)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2049,"operation_count":14,"complexity_ratio":146.35714285714286,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2030,"base":2},"right_expr":{"type":"numeric_atoms","value":2161,"base":2}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":7599,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2172,"base":2},"right_expr":{"type":"numeric_atoms","value":1165,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4161,"base":2},"right_expr":{"type":"numeric_atoms","value":4072,"base":2}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2235,"base":2},"right_expr":{"type":"numeric_atoms","value":2445,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1976,"base":2},"right_expr":{"type":"numeric_atoms","value":2059,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1369,"base":2},"right_expr":{"type":"numeric_atoms","value":2340,"base":2}}}}},"used_operators":["nCS4ZIUYfx","eewbuw0ToL","rGHVDoGpnC","sJAwomhLZr","2DlMacCsIx","rysDP5nf3Z","12rbrZMWeM","B5M0gjZbta","e1ybzncUwg","2DDjHMKMc0","oacrs7FA3X","9HNa5Wba9A","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2030","layer":4},{"info":"number node, value=2161","layer":4},{"info":"compute binary expreesion, left_input=2030, right_input=2161, 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=7599","layer":4},{"info":"compute unary expreesion, input=7599, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=2172","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=2172, right_input=1165, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1007","layer":3},{"info":"number node, value=4161","layer":4},{"info":"number node, value=4072","layer":4},{"info":"compute binary expreesion, left_input=4161, right_input=4072, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3963","layer":3},{"info":"compute binary expreesion, left_input=1007, right_input=3963, 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=nan, right_input=-9, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=2235","layer":4},{"info":"number node, value=2445","layer":4},{"info":"compute binary expreesion, left_input=2235, right_input=2445, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2235","layer":3},{"info":"compute unary expreesion, input=2235, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2766","layer":2},{"info":"number node, value=1976","layer":4},{"info":"number node, value=2059","layer":4},{"info":"compute binary expreesion, left_input=1976, right_input=2059, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4068584","layer":3},{"info":"number node, value=1369","layer":4},{"info":"number node, value=2340","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=2340, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3344","layer":3},{"info":"compute binary expreesion, left_input=4068584, right_input=3344, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8137044","layer":2},{"info":"compute binary expreesion, left_input=2766, right_input=8137044, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔11111101110⨟⋌⩍≮⫘↔100001110001⨰(≮⫘↔1110110101111⩠)⨰((≮⫘↔100001111100-≮⫘↔10010001101)⩨≮⫘↔1000001000001⋳⪒≮⫘↔111111101000)⨳⩥⨓(≉≮⫘↔100010111011⋝⋈⪟≮⫘↔100110001101)↬(≮⫘↔11110111000*≮⫘↔100000001011)⪘⫢(≮⫘↔10101011001⋥≓≎≮⫘↔100100100100)=NaN","reverse_text":"NaN=≮⫘↔11111101110⨟⋌⩍≮⫘↔100001110001⨰(≮⫘↔1110110101111⩠)⨰((≮⫘↔100001111100-≮⫘↔10010001101)⩨≮⫘↔1000001000001⋳⪒≮⫘↔111111101000)⨳⩥⨓(≉≮⫘↔100010111011⋝⋈⪟≮⫘↔100110001101)↬(≮⫘↔11110111000*≮⫘↔100000001011)⪘⫢(≮⫘↔10101011001⋥≓≎≮⫘↔100100100100)","cot":[{"info":"≮⫘↔11111101110⨟⋌⩍≮⫘↔100001110001=NaN","layer":3},{"info":"≮⫘↔1110110101111⩠=≮⫘↔0","layer":3},{"info":"NaN⨰≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔100001111100-≮⫘↔10010001101=≮⫘↔1111101111","layer":3},{"info":"≮⫘↔1000001000001⋳⪒≮⫘↔111111101000=≮⫘↔111101111011","layer":3},{"info":"≮⫘↔1111101111⩨≮⫘↔111101111011=≮⫘↔-1001","layer":2},{"info":"NaN⨰≮⫘↔-1001=NaN","layer":1},{"info":"≮⫘↔100010111011⋝⋈⪟≮⫘↔100110001101=≮⫘↔100010111011","layer":3},{"info":"≉≮⫘↔100010111011=≮⫘↔101011001110","layer":2},{"info":"≮⫘↔11110111000*≮⫘↔100000001011=≮⫘↔1111100001010011101000","layer":3},{"info":"≮⫘↔10101011001⋥≓≎≮⫘↔100100100100=≮⫘↔110100010000","layer":3},{"info":"≮⫘↔1111100001010011101000⪘⫢≮⫘↔110100010000=≮⫘↔11111000010100101010100","layer":2},{"info":"≮⫘↔101011001110↬≮⫘↔11111000010100101010100=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":143,"expression_no_base_symbol":"(($5284$⪛$1038$)⪮%⊝($8637$⩨$2628$)≣⋋)⫥∨⫟($2478$≧⫂∧$3394$⊭∹↮)≹⇙⪍($2440$⨓$1093$+$2192$⨓$1827$)","expression":"((≮⫘↔1010010100100⪛≮⫘↔10000001110)⪮%⊝(≮⫘↔10000110111101⩨≮⫘↔101001000100)≣⋋)⫥∨⫟(≮⫘↔100110101110≧⫂∧≮⫘↔110101000010⊭∹↮)≹⇙⪍(≮⫘↔100110001000⨓≮⫘↔10001000101+≮⫘↔100010010000⨓≮⫘↔11100100011)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3120,"operation_count":11,"complexity_ratio":283.6363636363636,"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":5284,"base":2},"right_expr":{"type":"numeric_atoms","value":1038,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":8637,"base":2},"right_expr":{"type":"numeric_atoms","value":2628,"base":2}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2478,"base":2},"right_expr":{"type":"numeric_atoms","value":3394,"base":2}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2440,"base":2},"right_expr":{"type":"numeric_atoms","value":1093,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2192,"base":2},"right_expr":{"type":"numeric_atoms","value":1827,"base":2}}}}},"used_operators":["KYD54nUTWz","Tcnh7f0tEr","IWmyXbctLI","uFcxV4UQCh","2DlMacCsIx","AHs5Up7iyr","xNBdhnnwKq","Ph9nP6C5qx","W4YGzv6Whe","3ViojmjbAp"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5284","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=5284, right_input=1038, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=94","layer":3},{"info":"number node, value=8637","layer":4},{"info":"number node, value=2628","layer":4},{"info":"compute binary expreesion, left_input=8637, right_input=2628, 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=94, 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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":1},{"info":"number node, value=2478","layer":4},{"info":"number node, value=3394","layer":4},{"info":"compute binary expreesion, left_input=2478, right_input=3394, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2921","layer":3},{"info":"compute unary expreesion, input=2921, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5842","layer":2},{"info":"number node, value=2440","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=2440, right_input=1093, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1096","layer":3},{"info":"number node, value=2192","layer":4},{"info":"number node, value=1827","layer":4},{"info":"compute binary expreesion, left_input=2192, right_input=1827, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1830","layer":3},{"info":"compute binary expreesion, left_input=-1096, right_input=-1830, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-2926","layer":2},{"info":"compute binary expreesion, left_input=5842, right_input=-2926, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010010100100⪛≮⫘↔10000001110)⪮%⊝(≮⫘↔10000110111101⩨≮⫘↔101001000100)≣⋋)⫥∨⫟(≮⫘↔100110101110≧⫂∧≮⫘↔110101000010⊭∹↮)≹⇙⪍(≮⫘↔100110001000⨓≮⫘↔10001000101+≮⫘↔100010010000⨓≮⫘↔11100100011)=NaN","reverse_text":"NaN=((≮⫘↔1010010100100⪛≮⫘↔10000001110)⪮%⊝(≮⫘↔10000110111101⩨≮⫘↔101001000100)≣⋋)⫥∨⫟(≮⫘↔100110101110≧⫂∧≮⫘↔110101000010⊭∹↮)≹⇙⪍(≮⫘↔100110001000⨓≮⫘↔10001000101+≮⫘↔100010010000⨓≮⫘↔11100100011)","cot":[{"info":"≮⫘↔1010010100100⪛≮⫘↔10000001110=≮⫘↔1011110","layer":3},{"info":"≮⫘↔10000110111101⩨≮⫘↔101001000100=≮⫘↔0","layer":3},{"info":"≮⫘↔1011110⪮%⊝≮⫘↔0=NaN","layer":2},{"info":"NaN≣⋋=NaN","layer":1},{"info":"≮⫘↔100110101110≧⫂∧≮⫘↔110101000010=≮⫘↔101101101001","layer":3},{"info":"≮⫘↔101101101001⊭∹↮=≮⫘↔1011011010010","layer":2},{"info":"≮⫘↔100110001000⨓≮⫘↔10001000101=≮⫘↔-10001001000","layer":3},{"info":"≮⫘↔100010010000⨓≮⫘↔11100100011=≮⫘↔-11100100110","layer":3},{"info":"≮⫘↔-10001001000+≮⫘↔-11100100110=≮⫘↔-101101101110","layer":2},{"info":"≮⫘↔1011011010010≹⇙⪍≮⫘↔-101101101110=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":144,"expression_no_base_symbol":"⊙↵-((⨞⊢$1093$)↬($3427$⨳⩥⨓$4748$)≫≃)","expression":"⊙↵-((⨞⊢≮⫘↔10001000101)↬(≮⫘↔110101100011⨳⩥⨓≮⫘↔1001010001100)≫≃)","highest_n_order":5,"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":1093,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3427,"base":2},"right_expr":{"type":"numeric_atoms","value":4748,"base":2}}}}},"used_operators":["oWn0xqSxBt","X99M06cbEe","B5M0gjZbta","xUOZtlo3hN","nCS4ZIUYfx"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1093","layer":4},{"info":"compute unary expreesion, input=1093, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1267","layer":3},{"info":"number node, value=3427","layer":4},{"info":"number node, value=4748","layer":4},{"info":"compute binary expreesion, left_input=3427, right_input=4748, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1321","layer":3},{"info":"compute binary expreesion, left_input=-1267, right_input=1321, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⊙↵-((⨞⊢≮⫘↔10001000101)↬(≮⫘↔110101100011⨳⩥⨓≮⫘↔1001010001100)≫≃)=NaN","reverse_text":"NaN=⊙↵-((⨞⊢≮⫘↔10001000101)↬(≮⫘↔110101100011⨳⩥⨓≮⫘↔1001010001100)≫≃)","cot":[{"info":"⨞⊢≮⫘↔10001000101=≮⫘↔-10011110011","layer":3},{"info":"≮⫘↔110101100011⨳⩥⨓≮⫘↔1001010001100=≮⫘↔10100101001","layer":3},{"info":"≮⫘↔-10011110011↬≮⫘↔10100101001=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":145,"expression_no_base_symbol":"(($4734$⊭↱$1309$)∼($1338$⪨≂$2300$)⋫)⇷((∥⊫$5316$)∑⇟⊟($1525$⪄$2648$)⩨($2884$⩨$2361$)⪢($3290$⩚⊴⇥$1978$))","expression":"((≮⫘↔1001001111110⊭↱≮⫘↔10100011101)∼(≮⫘↔10100111010⪨≂≮⫘↔100011111100)⋫)⇷((∥⊫≮⫘↔1010011000100)∑⇟⊟(≮⫘↔10111110101⪄≮⫘↔101001011000)⩨(≮⫘↔101101000100⩨≮⫘↔100100111001)⪢(≮⫘↔110011011010⩚⊴⇥≮⫘↔11110111010))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5655,"operation_count":12,"complexity_ratio":471.25,"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":4734,"base":2},"right_expr":{"type":"numeric_atoms","value":1309,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1338,"base":2},"right_expr":{"type":"numeric_atoms","value":2300,"base":2}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5316,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1525,"base":2},"right_expr":{"type":"numeric_atoms","value":2648,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2884,"base":2},"right_expr":{"type":"numeric_atoms","value":2361,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3290,"base":2},"right_expr":{"type":"numeric_atoms","value":1978,"base":2}}}}},"used_operators":["mp7IySMOzn","JL8yIekQnl","DyGG3AbaNP","COABgblf1C","sdazOOVcIp","2DlMacCsIx","U7g4x0WXJJ","P8v4zCKN1o","SUmda5xLS4","dWAJyo7jo9","NTOWxs364D"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4734","layer":4},{"info":"number node, value=1309","layer":4},{"info":"compute binary expreesion, left_input=4734, right_input=1309, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6845","layer":3},{"info":"number node, value=1338","layer":4},{"info":"number node, value=2300","layer":4},{"info":"compute binary expreesion, left_input=1338, right_input=2300, 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=-1822","layer":3},{"info":"compute binary expreesion, left_input=-6845, right_input=-1822, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":1},{"info":"number node, value=5316","layer":4},{"info":"compute unary expreesion, input=5316, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6184","layer":3},{"info":"number node, value=1525","layer":4},{"info":"number node, value=2648","layer":4},{"info":"compute binary expreesion, left_input=1525, right_input=2648, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-232381","layer":3},{"info":"compute binary expreesion, left_input=6184, right_input=-232381, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2884","layer":4},{"info":"number node, value=2361","layer":4},{"info":"compute binary expreesion, left_input=2884, right_input=2361, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=3290","layer":4},{"info":"number node, value=1978","layer":4},{"info":"compute binary expreesion, left_input=3290, right_input=1978, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5389","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5389, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001001111110⊭↱≮⫘↔10100011101)∼(≮⫘↔10100111010⪨≂≮⫘↔100011111100)⋫)⇷((∥⊫≮⫘↔1010011000100)∑⇟⊟(≮⫘↔10111110101⪄≮⫘↔101001011000)⩨(≮⫘↔101101000100⩨≮⫘↔100100111001)⪢(≮⫘↔110011011010⩚⊴⇥≮⫘↔11110111010))=NaN","reverse_text":"NaN=((≮⫘↔1001001111110⊭↱≮⫘↔10100011101)∼(≮⫘↔10100111010⪨≂≮⫘↔100011111100)⋫)⇷((∥⊫≮⫘↔1010011000100)∑⇟⊟(≮⫘↔10111110101⪄≮⫘↔101001011000)⩨(≮⫘↔101101000100⩨≮⫘↔100100111001)⪢(≮⫘↔110011011010⩚⊴⇥≮⫘↔11110111010))","cot":[{"info":"≮⫘↔1001001111110⊭↱≮⫘↔10100011101=≮⫘↔-1101010111101","layer":3},{"info":"≮⫘↔10100111010⪨≂≮⫘↔100011111100=≮⫘↔-11100011110","layer":3},{"info":"≮⫘↔-1101010111101∼≮⫘↔-11100011110=NaN","layer":2},{"info":"NaN⋫=NaN","layer":1},{"info":"∥⊫≮⫘↔1010011000100=≮⫘↔1100000101000","layer":3},{"info":"≮⫘↔10111110101⪄≮⫘↔101001011000=≮⫘↔-111000101110111101","layer":3},{"info":"≮⫘↔1100000101000∑⇟⊟≮⫘↔-111000101110111101=NaN","layer":2},{"info":"≮⫘↔101101000100⩨≮⫘↔100100111001=≮⫘↔0","layer":3},{"info":"≮⫘↔110011011010⩚⊴⇥≮⫘↔11110111010=≮⫘↔-1010100001101","layer":3},{"info":"≮⫘↔0⪢≮⫘↔-1010100001101=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":146,"expression_no_base_symbol":"($6400$⨎$2386$)⪢($7622$%$2807$)↬($4270$≧⫂∧$1294$⨽($1347$-$1055$))⨐⩸⫘((≤/$4694$)*$1742$⋓$6094$)⨽($7287$⨰$1316$↛⩡⫤)","expression":"(≮⫘↔1100100000000⨎≮⫘↔100101010010)⪢(≮⫘↔1110111000110%≮⫘↔101011110111)↬(≮⫘↔1000010101110≧⫂∧≮⫘↔10100001110⨽(≮⫘↔10101000011-≮⫘↔10000011111))⨐⩸⫘((≤/≮⫘↔1001001010110)*≮⫘↔11011001110⋓≮⫘↔1011111001110)⨽(≮⫘↔1110001110111⨰≮⫘↔10100100100↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23368,"operation_count":14,"complexity_ratio":1669.142857142857,"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":6400,"base":2},"right_expr":{"type":"numeric_atoms","value":2386,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7622,"base":2},"right_expr":{"type":"numeric_atoms","value":2807,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4270,"base":2},"right_expr":{"type":"numeric_atoms","value":1294,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1347,"base":2},"right_expr":{"type":"numeric_atoms","value":1055,"base":2}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4694,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1742,"base":2},"right_expr":{"type":"numeric_atoms","value":6094,"base":2}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":7287,"base":2},"right_expr":{"type":"numeric_atoms","value":1316,"base":2}}}}},"used_operators":["fu6greOZ01","B5M0gjZbta","dWAJyo7jo9","rJVOvQCfKK","k8jYdgA6NY","8HhzD0ZcuI","Ph9nP6C5qx","rysDP5nf3Z","9HNa5Wba9A","eLAdDNolq6","T2fj7uvVaJ","FU0Cs4j7VP","eewbuw0ToL"],"dependent_operators":["3ViojmjbAp","rGHVDoGpnC","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6400","layer":4},{"info":"number node, value=2386","layer":4},{"info":"compute binary expreesion, left_input=6400, right_input=2386, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2386","layer":3},{"info":"number node, value=7622","layer":4},{"info":"number node, value=2807","layer":4},{"info":"compute binary expreesion, left_input=7622, right_input=2807, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2008","layer":3},{"info":"compute binary expreesion, left_input=2386, right_input=2008, 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=4270","layer":4},{"info":"number node, value=1294","layer":4},{"info":"compute binary expreesion, left_input=4270, right_input=1294, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=821","layer":3},{"info":"number node, value=1347","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=1055, op_id = rysDP5nf3Z binary_op_definition= 'None', output=292","layer":3},{"info":"compute binary expreesion, left_input=821, right_input=292, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-2021685","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2021685, 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=4694","layer":4},{"info":"compute unary expreesion, input=4694, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4210","layer":3},{"info":"number node, value=1742","layer":4},{"info":"number node, value=6094","layer":4},{"info":"compute binary expreesion, left_input=1742, right_input=6094, 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=-4210, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=7287","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=7287, right_input=1316, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5981","layer":3},{"info":"compute unary expreesion, input=5981, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-899220","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-899220, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=2698974","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2698974, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1100100000000⨎≮⫘↔100101010010)⪢(≮⫘↔1110111000110%≮⫘↔101011110111)↬(≮⫘↔1000010101110≧⫂∧≮⫘↔10100001110⨽(≮⫘↔10101000011-≮⫘↔10000011111))⨐⩸⫘((≤/≮⫘↔1001001010110)*≮⫘↔11011001110⋓≮⫘↔1011111001110)⨽(≮⫘↔1110001110111⨰≮⫘↔10100100100↛⩡⫤)=NaN","reverse_text":"NaN=(≮⫘↔1100100000000⨎≮⫘↔100101010010)⪢(≮⫘↔1110111000110%≮⫘↔101011110111)↬(≮⫘↔1000010101110≧⫂∧≮⫘↔10100001110⨽(≮⫘↔10101000011-≮⫘↔10000011111))⨐⩸⫘((≤/≮⫘↔1001001010110)*≮⫘↔11011001110⋓≮⫘↔1011111001110)⨽(≮⫘↔1110001110111⨰≮⫘↔10100100100↛⩡⫤)","cot":[{"info":"≮⫘↔1100100000000⨎≮⫘↔100101010010=≮⫘↔100101010010","layer":3},{"info":"≮⫘↔1110111000110%≮⫘↔101011110111=≮⫘↔11111011000","layer":3},{"info":"≮⫘↔100101010010⪢≮⫘↔11111011000=NaN","layer":2},{"info":"≮⫘↔1000010101110≧⫂∧≮⫘↔10100001110=≮⫘↔1100110101","layer":3},{"info":"≮⫘↔10101000011-≮⫘↔10000011111=≮⫘↔100100100","layer":3},{"info":"≮⫘↔1100110101⨽≮⫘↔100100100=≮⫘↔-111101101100100110101","layer":2},{"info":"NaN↬≮⫘↔-111101101100100110101=NaN","layer":1},{"info":"≤/≮⫘↔1001001010110=≮⫘↔-1000001110010","layer":3},{"info":"≮⫘↔11011001110⋓≮⫘↔1011111001110=≮⫘↔0","layer":3},{"info":"≮⫘↔-1000001110010*≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔1110001110111⨰≮⫘↔10100100100=≮⫘↔1011101011101","layer":3},{"info":"≮⫘↔1011101011101↛⩡⫤=≮⫘↔-11011011100010010100","layer":2},{"info":"≮⫘↔0⨽≮⫘↔-11011011100010010100=≮⫘↔1010010010111011011110","layer":1},{"info":"NaN⨐⩸⫘≮⫘↔1010010010111011011110=NaN","layer":0}]}
{"id":147,"expression_no_base_symbol":"(⇁⨣⪵($1474$⋷$1739$)∼($2057$⪛$3383$))⨎(⊙↵-($5544$↺$2578$))⇷($1480$⪛$1378$⩷∴$1638$∼$2596$)","expression":"(⇁⨣⪵(≮⫘↔10111000010⋷≮⫘↔11011001011)∼(≮⫘↔100000001001⪛≮⫘↔110100110111))⨎(⊙↵-(≮⫘↔1010110101000↺≮⫘↔101000010010))⇷(≮⫘↔10111001000⪛≮⫘↔10101100010⩷∴≮⫘↔11001100110∼≮⫘↔101000100100)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2740,"operation_count":11,"complexity_ratio":249.0909090909091,"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":1474,"base":2},"right_expr":{"type":"numeric_atoms","value":1739,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2057,"base":2},"right_expr":{"type":"numeric_atoms","value":3383,"base":2}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5544,"base":2},"right_expr":{"type":"numeric_atoms","value":2578,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1480,"base":2},"right_expr":{"type":"numeric_atoms","value":1378,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1638,"base":2},"right_expr":{"type":"numeric_atoms","value":2596,"base":2}}}}},"used_operators":["rJVOvQCfKK","inkyxCbjAn","DyGG3AbaNP","23Mk6UjR3U","uFcxV4UQCh","mp7IySMOzn","oWn0xqSxBt","7j4O788W3g","9FxExcQeMw"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","B5M0gjZbta","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1474","layer":4},{"info":"number node, value=1739","layer":4},{"info":"compute binary expreesion, left_input=1474, right_input=1739, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2004","layer":3},{"info":"number node, value=2057","layer":4},{"info":"number node, value=3383","layer":4},{"info":"compute binary expreesion, left_input=2057, right_input=3383, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2057","layer":3},{"info":"compute binary expreesion, left_input=2004, right_input=2057, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=5544","layer":4},{"info":"number node, value=2578","layer":4},{"info":"compute binary expreesion, left_input=5544, right_input=2578, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2578","layer":3},{"info":"compute unary expreesion, input=2578, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=1480","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=1378, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=102","layer":3},{"info":"number node, value=1638","layer":4},{"info":"number node, value=2596","layer":4},{"info":"compute binary expreesion, left_input=1638, right_input=2596, 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=102, 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=-1, 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 = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⇁⨣⪵(≮⫘↔10111000010⋷≮⫘↔11011001011)∼(≮⫘↔100000001001⪛≮⫘↔110100110111))⨎(⊙↵-(≮⫘↔1010110101000↺≮⫘↔101000010010))⇷(≮⫘↔10111001000⪛≮⫘↔10101100010⩷∴≮⫘↔11001100110∼≮⫘↔101000100100)=NaN","reverse_text":"NaN=(⇁⨣⪵(≮⫘↔10111000010⋷≮⫘↔11011001011)∼(≮⫘↔100000001001⪛≮⫘↔110100110111))⨎(⊙↵-(≮⫘↔1010110101000↺≮⫘↔101000010010))⇷(≮⫘↔10111001000⪛≮⫘↔10101100010⩷∴≮⫘↔11001100110∼≮⫘↔101000100100)","cot":[{"info":"≮⫘↔10111000010⋷≮⫘↔11011001011=≮⫘↔11111010100","layer":3},{"info":"≮⫘↔100000001001⪛≮⫘↔110100110111=≮⫘↔100000001001","layer":3},{"info":"≮⫘↔11111010100∼≮⫘↔100000001001=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"≮⫘↔1010110101000↺≮⫘↔101000010010=≮⫘↔101000010010","layer":3},{"info":"⊙↵-≮⫘↔101000010010=≮⫘↔-1","layer":2},{"info":"≮⫘↔10111001000⪛≮⫘↔10101100010=≮⫘↔1100110","layer":3},{"info":"≮⫘↔11001100110∼≮⫘↔101000100100=NaN","layer":3},{"info":"≮⫘↔1100110⩷∴NaN=NaN","layer":2},{"info":"≮⫘↔-1⇷NaN=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":148,"expression_no_base_symbol":"(⊙↵-$2938$)∼($1298$⋓$1534$)-(↽≂($6903$⪒$1638$))⨵⪆(⨰⫟⨤(⨑⩽⪐$2055$)⪮%⊝($2511$⨽$3356$))","expression":"(⊙↵-≮⫘↔101101111010)∼(≮⫘↔10100010010⋓≮⫘↔10111111110)-(↽≂(≮⫘↔1101011110111⪒≮⫘↔11001100110))⨵⪆(⨰⫟⨤(⨑⩽⪐≮⫘↔100000000111)⪮%⊝(≮⫘↔100111001111⨽≮⫘↔110100011100))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19444,"operation_count":11,"complexity_ratio":1767.6363636363637,"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":2938,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1298,"base":2},"right_expr":{"type":"numeric_atoms","value":1534,"base":2}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6903,"base":2},"right_expr":{"type":"numeric_atoms","value":1638,"base":2}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2055,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2511,"base":2},"right_expr":{"type":"numeric_atoms","value":3356,"base":2}}}}},"used_operators":["2DQ55sFlQl","rysDP5nf3Z","DyGG3AbaNP","oWn0xqSxBt","T2fj7uvVaJ","u6S6b8DprG","f6k1SAg4EE","Tw270M8GLb","IWmyXbctLI","AF7qkfDlqP","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2938","layer":4},{"info":"compute unary expreesion, input=2938, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1298","layer":4},{"info":"number node, value=1534","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=1534, 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=-1, 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=6903","layer":4},{"info":"number node, value=1638","layer":4},{"info":"compute binary expreesion, left_input=6903, right_input=1638, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8541","layer":3},{"info":"compute unary expreesion, input=-8541, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=17082","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=17082, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-17062","layer":1},{"info":"number node, value=2055","layer":4},{"info":"compute unary expreesion, input=2055, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1782","layer":3},{"info":"number node, value=2511","layer":4},{"info":"number node, value=3356","layer":4},{"info":"compute binary expreesion, left_input=2511, right_input=3356, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-18924117","layer":3},{"info":"compute binary expreesion, left_input=-1782, right_input=-18924117, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-3248","layer":2},{"info":"compute unary expreesion, input=-3248, 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=-17062, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(⊙↵-≮⫘↔101101111010)∼(≮⫘↔10100010010⋓≮⫘↔10111111110)-(↽≂(≮⫘↔1101011110111⪒≮⫘↔11001100110))⨵⪆(⨰⫟⨤(⨑⩽⪐≮⫘↔100000000111)⪮%⊝(≮⫘↔100111001111⨽≮⫘↔110100011100))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(⊙↵-≮⫘↔101101111010)∼(≮⫘↔10100010010⋓≮⫘↔10111111110)-(↽≂(≮⫘↔1101011110111⪒≮⫘↔11001100110))⨵⪆(⨰⫟⨤(⨑⩽⪐≮⫘↔100000000111)⪮%⊝(≮⫘↔100111001111⨽≮⫘↔110100011100))","cot":[{"info":"⊙↵-≮⫘↔101101111010=≮⫘↔-1","layer":3},{"info":"≮⫘↔10100010010⋓≮⫘↔10111111110=≮⫘↔0","layer":3},{"info":"≮⫘↔-1∼≮⫘↔0=≮⫘↔10100","layer":2},{"info":"≮⫘↔1101011110111⪒≮⫘↔11001100110=≮⫘↔-10000101011101","layer":3},{"info":"↽≂≮⫘↔-10000101011101=≮⫘↔100001010111010","layer":2},{"info":"≮⫘↔10100-≮⫘↔100001010111010=≮⫘↔-100001010100110","layer":1},{"info":"⨑⩽⪐≮⫘↔100000000111=≮⫘↔-11011110110","layer":3},{"info":"≮⫘↔100111001111⨽≮⫘↔110100011100=≮⫘↔-1001000001100001001010101","layer":3},{"info":"≮⫘↔-11011110110⪮%⊝≮⫘↔-1001000001100001001010101=≮⫘↔-110010110000","layer":2},{"info":"⨰⫟⨤≮⫘↔-110010110000=NaN","layer":1},{"info":"≮⫘↔-100001010100110⨵⪆NaN=≮⫘↔10100000","layer":0}]}
{"id":149,"expression_no_base_symbol":"(($8024$⨓$2723$%($1940$⪨≂$1791$))⊪)∑⇟⊟(($1151$⪐)⪘⫢$1081$∀⇚≩$1253$⪨≂$3458$≎⊠⪸$1476$⩨(⨞⊢$2723$))","expression":"((≮⫘↔1111101011000⨓≮⫘↔101010100011%(≮⫘↔11110010100⪨≂≮⫘↔11011111111))⊪)∑⇟⊟((≮⫘↔10001111111⪐)⪘⫢≮⫘↔10000111001∀⇚≩≮⫘↔10011100101⪨≂≮⫘↔110110000010≎⊠⪸≮⫘↔10111000100⩨(⨞⊢≮⫘↔101010100011))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10633,"operation_count":12,"complexity_ratio":886.0833333333334,"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":8024,"base":2},"right_expr":{"type":"numeric_atoms","value":2723,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1940,"base":2},"right_expr":{"type":"numeric_atoms","value":1791,"base":2}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1151,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1081,"base":2},"right_expr":{"type":"numeric_atoms","value":1253,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3458,"base":2},"right_expr":{"type":"numeric_atoms","value":1476,"base":2}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2723,"base":2}}}}},"used_operators":["U7g4x0WXJJ","zVYPLywUTj","k8jYdgA6NY","3ViojmjbAp","sdazOOVcIp","oacrs7FA3X","eH2TOUuTDT","LRNGc0VcxI","2DlMacCsIx","bJkvcejdHO","xUOZtlo3hN"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8024","layer":4},{"info":"number node, value=2723","layer":4},{"info":"compute binary expreesion, left_input=8024, right_input=2723, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2726","layer":3},{"info":"number node, value=1940","layer":4},{"info":"number node, value=1791","layer":4},{"info":"compute binary expreesion, left_input=1940, right_input=1791, 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=400","layer":3},{"info":"compute binary expreesion, left_input=-2726, right_input=400, op_id = k8jYdgA6NY binary_op_definition= 'None', output=74","layer":2},{"info":"compute unary expreesion, input=74, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"number node, value=1151","layer":4},{"info":"compute unary expreesion, input=1151, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2302","layer":3},{"info":"number node, value=1081","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=1253, 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=2302, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=3458","layer":4},{"info":"number node, value=1476","layer":4},{"info":"compute binary expreesion, left_input=3458, right_input=1476, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=895149","layer":3},{"info":"number node, value=2723","layer":4},{"info":"compute unary expreesion, input=2723, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2897","layer":3},{"info":"compute binary expreesion, left_input=895149, right_input=-2897, 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=nan, right_input=3, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1111101011000⨓≮⫘↔101010100011%(≮⫘↔11110010100⪨≂≮⫘↔11011111111))⊪)∑⇟⊟((≮⫘↔10001111111⪐)⪘⫢≮⫘↔10000111001∀⇚≩≮⫘↔10011100101⪨≂≮⫘↔110110000010≎⊠⪸≮⫘↔10111000100⩨(⨞⊢≮⫘↔101010100011))=NaN","reverse_text":"NaN=((≮⫘↔1111101011000⨓≮⫘↔101010100011%(≮⫘↔11110010100⪨≂≮⫘↔11011111111))⊪)∑⇟⊟((≮⫘↔10001111111⪐)⪘⫢≮⫘↔10000111001∀⇚≩≮⫘↔10011100101⪨≂≮⫘↔110110000010≎⊠⪸≮⫘↔10111000100⩨(⨞⊢≮⫘↔101010100011))","cot":[{"info":"≮⫘↔1111101011000⨓≮⫘↔101010100011=≮⫘↔-101010100110","layer":3},{"info":"≮⫘↔11110010100⪨≂≮⫘↔11011111111=≮⫘↔110010000","layer":3},{"info":"≮⫘↔-101010100110%≮⫘↔110010000=≮⫘↔1001010","layer":2},{"info":"≮⫘↔1001010⊪=≮⫘↔0","layer":1},{"info":"≮⫘↔10001111111⪐=≮⫘↔100011111110","layer":3},{"info":"≮⫘↔10000111001∀⇚≩≮⫘↔10011100101=NaN","layer":3},{"info":"≮⫘↔100011111110⪘⫢NaN=NaN","layer":2},{"info":"≮⫘↔110110000010≎⊠⪸≮⫘↔10111000100=≮⫘↔11011010100010101101","layer":3},{"info":"⨞⊢≮⫘↔101010100011=≮⫘↔-101101010001","layer":3},{"info":"≮⫘↔11011010100010101101⩨≮⫘↔-101101010001=≮⫘↔11","layer":2},{"info":"NaN⪨≂≮⫘↔11=NaN","layer":1},{"info":"≮⫘↔0∑⇟⊟NaN=NaN","layer":0}]}
{"id":150,"expression_no_base_symbol":"(-(($3214$↪⪝)↛⩡⫤))⋷$8552$≹⇙⪍$1103$≹⇙⪍($5103$⊠≄⫣)⪛(($2135$⫸⊐$1544$)⨽($1095$⊭∹↮))","expression":"(-((≮⫘↔110010001110↪⪝)↛⩡⫤))⋷≮⫘↔10000101101000≹⇙⪍≮⫘↔10001001111≹⇙⪍(≮⫘↔1001111101111⊠≄⫣)⪛((≮⫘↔100001010111⫸⊐≮⫘↔11000001000)⨽(≮⫘↔10001000111⊭∹↮))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6866,"operation_count":11,"complexity_ratio":624.1818181818181,"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":3214,"base":2}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":8552,"base":2},"right_expr":{"type":"numeric_atoms","value":1103,"base":2}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5103,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2135,"base":2},"right_expr":{"type":"numeric_atoms","value":1544,"base":2}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1095,"base":2}}}}},"used_operators":["23Mk6UjR3U","t8gj7n24qd","FU0Cs4j7VP","l07mrZUIn9","uFcxV4UQCh","AHs5Up7iyr","DIvbN7qnHd","8HhzD0ZcuI","mqXw5SEYmG","xNBdhnnwKq"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","9HNa5Wba9A","2DDjHMKMc0","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3214","layer":4},{"info":"compute unary expreesion, input=3214, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=196638948","layer":3},{"info":"compute unary expreesion, input=196638948, 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":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"number node, value=8552","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=8552, right_input=1103, 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=5103","layer":4},{"info":"compute unary expreesion, input=5103, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":2},{"info":"number node, value=2135","layer":4},{"info":"number node, value=1544","layer":4},{"info":"compute binary expreesion, left_input=2135, right_input=1544, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6051","layer":3},{"info":"number node, value=1095","layer":4},{"info":"compute unary expreesion, input=1095, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2190","layer":3},{"info":"compute binary expreesion, left_input=6051, right_input=2190, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-109849059","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-109849059, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(-((≮⫘↔110010001110↪⪝)↛⩡⫤))⋷≮⫘↔10000101101000≹⇙⪍≮⫘↔10001001111≹⇙⪍(≮⫘↔1001111101111⊠≄⫣)⪛((≮⫘↔100001010111⫸⊐≮⫘↔11000001000)⨽(≮⫘↔10001000111⊭∹↮))=NaN","reverse_text":"NaN=(-((≮⫘↔110010001110↪⪝)↛⩡⫤))⋷≮⫘↔10000101101000≹⇙⪍≮⫘↔10001001111≹⇙⪍(≮⫘↔1001111101111⊠≄⫣)⪛((≮⫘↔100001010111⫸⊐≮⫘↔11000001000)⨽(≮⫘↔10001000111⊭∹↮))","cot":[{"info":"≮⫘↔110010001110↪⪝=≮⫘↔1011101110000111100011100100","layer":3},{"info":"≮⫘↔1011101110000111100011100100↛⩡⫤=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"≮⫘↔10000101101000≹⇙⪍≮⫘↔10001001111=NaN","layer":3},{"info":"≮⫘↔1001111101111⊠≄⫣=≮⫘↔0","layer":3},{"info":"NaN≹⇙⪍≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔100001010111⫸⊐≮⫘↔11000001000=≮⫘↔1011110100011","layer":3},{"info":"≮⫘↔10001000111⊭∹↮=≮⫘↔100010001110","layer":3},{"info":"≮⫘↔1011110100011⨽≮⫘↔100010001110=≮⫘↔-110100011000010100111100011","layer":2},{"info":"NaN⪛≮⫘↔-110100011000010100111100011=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":151,"expression_no_base_symbol":"(⩦⩻⨪(⊙↵-($2676$∀⇚≩$6560$)))⫡⨏$3322$⪛$5909$⨐⩸⫘($2483$⨳⩥⨓$1177$)*(⫓⪴(↯⪼$9023$))","expression":"(⩦⩻⨪(⊙↵-(≮⫘↔101001110100∀⇚≩≮⫘↔1100110100000)))⫡⨏≮⫘↔110011111010⪛≮⫘↔1011100010101⨐⩸⫘(≮⫘↔100110110011⨳⩥⨓≮⫘↔10010011001)*(⫓⪴(↯⪼≮⫘↔10001100111111))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":18830,"operation_count":10,"complexity_ratio":1883.0,"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":2676,"base":2},"right_expr":{"type":"numeric_atoms","value":6560,"base":2}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3322,"base":2},"right_expr":{"type":"numeric_atoms","value":5909,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2483,"base":2},"right_expr":{"type":"numeric_atoms","value":1177,"base":2}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":9023,"base":2}}}}},"used_operators":["QMFrweE19q","2td37pGCOC","oWn0xqSxBt","LRNGc0VcxI","9HNa5Wba9A","fu6greOZ01","uFcxV4UQCh","nCS4ZIUYfx","eLxqMNBOBk","8jW3W4yZS5"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","X99M06cbEe","W4YGzv6Whe","3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2676","layer":4},{"info":"number node, value=6560","layer":4},{"info":"compute binary expreesion, left_input=2676, right_input=6560, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐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=3322","layer":4},{"info":"number node, value=5909","layer":4},{"info":"compute binary expreesion, left_input=3322, right_input=5909, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3322","layer":3},{"info":"number node, value=2483","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=2483, right_input=1177, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1306","layer":3},{"info":"compute binary expreesion, left_input=3322, right_input=-1306, 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=9023","layer":4},{"info":"compute unary expreesion, input=9023, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=441","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=441, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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":2,"result_base":2,"text":"(⩦⩻⨪(⊙↵-(≮⫘↔101001110100∀⇚≩≮⫘↔1100110100000)))⫡⨏≮⫘↔110011111010⪛≮⫘↔1011100010101⨐⩸⫘(≮⫘↔100110110011⨳⩥⨓≮⫘↔10010011001)*(⫓⪴(↯⪼≮⫘↔10001100111111))=NaN","reverse_text":"NaN=(⩦⩻⨪(⊙↵-(≮⫘↔101001110100∀⇚≩≮⫘↔1100110100000)))⫡⨏≮⫘↔110011111010⪛≮⫘↔1011100010101⨐⩸⫘(≮⫘↔100110110011⨳⩥⨓≮⫘↔10010011001)*(⫓⪴(↯⪼≮⫘↔10001100111111))","cot":[{"info":"≮⫘↔101001110100∀⇚≩≮⫘↔1100110100000=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"≮⫘↔110011111010⪛≮⫘↔1011100010101=≮⫘↔110011111010","layer":3},{"info":"≮⫘↔100110110011⨳⩥⨓≮⫘↔10010011001=≮⫘↔-10100011010","layer":3},{"info":"≮⫘↔110011111010⨐⩸⫘≮⫘↔-10100011010=NaN","layer":2},{"info":"↯⪼≮⫘↔10001100111111=≮⫘↔-10101","layer":3},{"info":"⫓⪴≮⫘↔-10101=≮⫘↔110111001","layer":2},{"info":"NaN*≮⫘↔110111001=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":152,"expression_no_base_symbol":"(($5084$↙$1220$)⋥≓≎$3774$⫥∨⫟$2530$*$7068$⋳⪒$8042$↺$3591$⋝⋈⪟$1803$)↺($3585$⨰$7751$⨸⪁($1027$⊉≛↸$4493$))⪢(⩦⩻⨪($7180$⨳⩥⨓$5862$))","expression":"((≮⫘↔1001111011100↙≮⫘↔10011000100)⋥≓≎≮⫘↔111010111110⫥∨⫟≮⫘↔100111100010*≮⫘↔1101110011100⋳⪒≮⫘↔1111101101010↺≮⫘↔111000000111⋝⋈⪟≮⫘↔11100001011)↺(≮⫘↔111000000001⨰≮⫘↔1111001000111⨸⪁(≮⫘↔10000000011⊉≛↸≮⫘↔1000110001101))⪢(⩦⩻⨪(≮⫘↔1110000001100⨳⩥⨓≮⫘↔1011011100110))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4708,"operation_count":14,"complexity_ratio":336.2857142857143,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5084,"base":2},"right_expr":{"type":"numeric_atoms","value":1220,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3774,"base":2},"right_expr":{"type":"numeric_atoms","value":2530,"base":2}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7068,"base":2},"right_expr":{"type":"numeric_atoms","value":8042,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3591,"base":2},"right_expr":{"type":"numeric_atoms","value":1803,"base":2}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3585,"base":2},"right_expr":{"type":"numeric_atoms","value":7751,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1027,"base":2},"right_expr":{"type":"numeric_atoms","value":4493,"base":2}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":7180,"base":2},"right_expr":{"type":"numeric_atoms","value":5862,"base":2}}}}},"used_operators":["7j4O788W3g","9HNa5Wba9A","Qy55tPpLXF","yyfyN0ffXY","KYD54nUTWz","12rbrZMWeM","2DDjHMKMc0","dWAJyo7jo9","g55IO6H4Gj","eewbuw0ToL","DZ8iAZOCBD","2td37pGCOC","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5084","layer":4},{"info":"number node, value=1220","layer":4},{"info":"compute binary expreesion, left_input=5084, right_input=1220, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3660","layer":3},{"info":"number node, value=3774","layer":4},{"info":"number node, value=2530","layer":4},{"info":"compute binary expreesion, left_input=3774, right_input=2530, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3660, right_input=nan, 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=7068","layer":4},{"info":"number node, value=8042","layer":4},{"info":"compute binary expreesion, left_input=7068, right_input=8042, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5807","layer":3},{"info":"number node, value=3591","layer":4},{"info":"number node, value=1803","layer":4},{"info":"compute binary expreesion, left_input=3591, right_input=1803, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3591","layer":3},{"info":"compute binary expreesion, left_input=5807, right_input=3591, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3591","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=3591, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=240597","layer":1},{"info":"number node, value=3585","layer":4},{"info":"number node, value=7751","layer":4},{"info":"compute binary expreesion, left_input=3585, right_input=7751, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4156","layer":3},{"info":"number node, value=1027","layer":4},{"info":"number node, value=4493","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=4493, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2054","layer":3},{"info":"compute binary expreesion, left_input=-4156, right_input=2054, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-4204","layer":2},{"info":"number node, value=7180","layer":4},{"info":"number node, value=5862","layer":4},{"info":"compute binary expreesion, left_input=7180, right_input=5862, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1318","layer":3},{"info":"compute unary expreesion, input=-1318, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-1318","layer":2},{"info":"compute binary expreesion, left_input=-4204, right_input=-1318, 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=240597, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001111011100↙≮⫘↔10011000100)⋥≓≎≮⫘↔111010111110⫥∨⫟≮⫘↔100111100010*≮⫘↔1101110011100⋳⪒≮⫘↔1111101101010↺≮⫘↔111000000111⋝⋈⪟≮⫘↔11100001011)↺(≮⫘↔111000000001⨰≮⫘↔1111001000111⨸⪁(≮⫘↔10000000011⊉≛↸≮⫘↔1000110001101))⪢(⩦⩻⨪(≮⫘↔1110000001100⨳⩥⨓≮⫘↔1011011100110))=NaN","reverse_text":"NaN=((≮⫘↔1001111011100↙≮⫘↔10011000100)⋥≓≎≮⫘↔111010111110⫥∨⫟≮⫘↔100111100010*≮⫘↔1101110011100⋳⪒≮⫘↔1111101101010↺≮⫘↔111000000111⋝⋈⪟≮⫘↔11100001011)↺(≮⫘↔111000000001⨰≮⫘↔1111001000111⨸⪁(≮⫘↔10000000011⊉≛↸≮⫘↔1000110001101))⪢(⩦⩻⨪(≮⫘↔1110000001100⨳⩥⨓≮⫘↔1011011100110))","cot":[{"info":"≮⫘↔1001111011100↙≮⫘↔10011000100=≮⫘↔-111001001100","layer":3},{"info":"≮⫘↔111010111110⫥∨⫟≮⫘↔100111100010=NaN","layer":3},{"info":"≮⫘↔-111001001100⋥≓≎NaN=≮⫘↔1000011","layer":2},{"info":"≮⫘↔1101110011100⋳⪒≮⫘↔1111101101010=≮⫘↔1011010101111","layer":3},{"info":"≮⫘↔111000000111⋝⋈⪟≮⫘↔11100001011=≮⫘↔111000000111","layer":3},{"info":"≮⫘↔1011010101111↺≮⫘↔111000000111=≮⫘↔111000000111","layer":2},{"info":"≮⫘↔1000011*≮⫘↔111000000111=≮⫘↔111010101111010101","layer":1},{"info":"≮⫘↔111000000001⨰≮⫘↔1111001000111=≮⫘↔-1000000111100","layer":3},{"info":"≮⫘↔10000000011⊉≛↸≮⫘↔1000110001101=≮⫘↔100000000110","layer":3},{"info":"≮⫘↔-1000000111100⨸⪁≮⫘↔100000000110=≮⫘↔-1000001101100","layer":2},{"info":"≮⫘↔1110000001100⨳⩥⨓≮⫘↔1011011100110=≮⫘↔-10100100110","layer":3},{"info":"⩦⩻⨪≮⫘↔-10100100110=≮⫘↔-10100100110","layer":2},{"info":"≮⫘↔-1000001101100⪢≮⫘↔-10100100110=NaN","layer":1},{"info":"≮⫘↔111010101111010101↺NaN=NaN","layer":0}]}
{"id":153,"expression_no_base_symbol":"($4833$⋓$8664$≧⫂∧(↽≂$3307$)+($1090$⋷$5192$)≎⊠⪸(⪲⇎$6063$))⇼⇔∾(↥($1348$⩷∴$6715$⊭↱($3925$⇼⇔∾$3997$)))","expression":"(≮⫘↔1001011100001⋓≮⫘↔10000111011000≧⫂∧(↽≂≮⫘↔110011101011)+(≮⫘↔10001000010⋷≮⫘↔1010001001000)≎⊠⪸(⪲⇎≮⫘↔1011110101111))⇼⇔∾(↥(≮⫘↔10101000100⩷∴≮⫘↔1101000111011⊭↱(≮⫘↔111101010101⇼⇔∾≮⫘↔111110011101)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":735,"operation_count":12,"complexity_ratio":61.25,"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":4833,"base":2},"right_expr":{"type":"numeric_atoms","value":8664,"base":2}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3307,"base":2}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1090,"base":2},"right_expr":{"type":"numeric_atoms","value":5192,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":6063,"base":2}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1348,"base":2},"right_expr":{"type":"numeric_atoms","value":6715,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3925,"base":2},"right_expr":{"type":"numeric_atoms","value":3997,"base":2}}}}},"used_operators":["tifHPKVTfV","W4YGzv6Whe","Ph9nP6C5qx","T2fj7uvVaJ","u6S6b8DprG","bJkvcejdHO","23Mk6UjR3U","XPYlsWDdGa","A8NUZmVepG","COABgblf1C","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"≮⫘↔-1001001101001011100001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4833","layer":4},{"info":"number node, value=8664","layer":4},{"info":"compute binary expreesion, left_input=4833, right_input=8664, 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=3307","layer":4},{"info":"compute unary expreesion, input=3307, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-6614","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6614, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6614","layer":2},{"info":"number node, value=1090","layer":4},{"info":"number node, value=5192","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=5192, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9294","layer":3},{"info":"number node, value=6063","layer":4},{"info":"compute unary expreesion, input=6063, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=12126","layer":3},{"info":"compute binary expreesion, left_input=9294, right_input=12126, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2406673","layer":2},{"info":"compute binary expreesion, left_input=6614, right_input=2406673, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2413287","layer":1},{"info":"number node, value=1348","layer":4},{"info":"number node, value=6715","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=6715, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-10766","layer":3},{"info":"number node, value=3925","layer":4},{"info":"number node, value=3997","layer":4},{"info":"compute binary expreesion, left_input=3925, right_input=3997, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=72","layer":3},{"info":"compute binary expreesion, left_input=-10766, right_input=72, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=21681","layer":2},{"info":"compute unary expreesion, input=21681, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=6","layer":1},{"info":"compute binary expreesion, left_input=2413287, right_input=6, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2413281","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1001011100001⋓≮⫘↔10000111011000≧⫂∧(↽≂≮⫘↔110011101011)+(≮⫘↔10001000010⋷≮⫘↔1010001001000)≎⊠⪸(⪲⇎≮⫘↔1011110101111))⇼⇔∾(↥(≮⫘↔10101000100⩷∴≮⫘↔1101000111011⊭↱(≮⫘↔111101010101⇼⇔∾≮⫘↔111110011101)))=≮⫘↔-1001001101001011100001","reverse_text":"≮⫘↔-1001001101001011100001=(≮⫘↔1001011100001⋓≮⫘↔10000111011000≧⫂∧(↽≂≮⫘↔110011101011)+(≮⫘↔10001000010⋷≮⫘↔1010001001000)≎⊠⪸(⪲⇎≮⫘↔1011110101111))⇼⇔∾(↥(≮⫘↔10101000100⩷∴≮⫘↔1101000111011⊭↱(≮⫘↔111101010101⇼⇔∾≮⫘↔111110011101)))","cot":[{"info":"≮⫘↔1001011100001⋓≮⫘↔10000111011000=≮⫘↔0","layer":3},{"info":"↽≂≮⫘↔110011101011=≮⫘↔-1100111010110","layer":3},{"info":"≮⫘↔0≧⫂∧≮⫘↔-1100111010110=≮⫘↔1100111010110","layer":2},{"info":"≮⫘↔10001000010⋷≮⫘↔1010001001000=≮⫘↔10010001001110","layer":3},{"info":"⪲⇎≮⫘↔1011110101111=≮⫘↔10111101011110","layer":3},{"info":"≮⫘↔10010001001110≎⊠⪸≮⫘↔10111101011110=≮⫘↔1001001011100100010001","layer":2},{"info":"≮⫘↔1100111010110+≮⫘↔1001001011100100010001=≮⫘↔1001001101001011100111","layer":1},{"info":"≮⫘↔10101000100⩷∴≮⫘↔1101000111011=≮⫘↔-10101000001110","layer":3},{"info":"≮⫘↔111101010101⇼⇔∾≮⫘↔111110011101=≮⫘↔1001000","layer":3},{"info":"≮⫘↔-10101000001110⊭↱≮⫘↔1001000=≮⫘↔101010010110001","layer":2},{"info":"↥≮⫘↔101010010110001=≮⫘↔110","layer":1},{"info":"≮⫘↔1001001101001011100111⇼⇔∾≮⫘↔110=≮⫘↔-1001001101001011100001","layer":0}]}
{"id":154,"expression_no_base_symbol":"(($1071$⩚⊴⇥$1309$)⋓($2639$⩷∴$1857$)⩚⊴⇥(($1884$⪒$5750$)+⇶⊼($5147$⨐⩸⫘$1134$)))≧⫂∧($2534$⪘⫢$3559$⋓($3097$/$3715$))≹⇙⪍(($2020$+⇶⊼$1939$)⪮%⊝($1028$*$7827$))","expression":"((≮⫘↔10000101111⩚⊴⇥≮⫘↔10100011101)⋓(≮⫘↔101001001111⩷∴≮⫘↔11101000001)⩚⊴⇥((≮⫘↔11101011100⪒≮⫘↔1011001110110)+⇶⊼(≮⫘↔1010000011011⨐⩸⫘≮⫘↔10001101110)))≧⫂∧(≮⫘↔100111100110⪘⫢≮⫘↔110111100111⋓(≮⫘↔110000011001/≮⫘↔111010000011))≹⇙⪍((≮⫘↔11111100100+⇶⊼≮⫘↔11110010011)⪮%⊝(≮⫘↔10000000100*≮⫘↔1111010010011))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1099,"operation_count":15,"complexity_ratio":73.26666666666667,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1071,"base":2},"right_expr":{"type":"numeric_atoms","value":1309,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2639,"base":2},"right_expr":{"type":"numeric_atoms","value":1857,"base":2}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1884,"base":2},"right_expr":{"type":"numeric_atoms","value":5750,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5147,"base":2},"right_expr":{"type":"numeric_atoms","value":1134,"base":2}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2534,"base":2},"right_expr":{"type":"numeric_atoms","value":3559,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3097,"base":2},"right_expr":{"type":"numeric_atoms","value":3715,"base":2}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2020,"base":2},"right_expr":{"type":"numeric_atoms","value":1939,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1028,"base":2},"right_expr":{"type":"numeric_atoms","value":7827,"base":2}}}}},"used_operators":["Ph9nP6C5qx","NTOWxs364D","T2fj7uvVaJ","9FxExcQeMw","TpPTUOHfaN","f6k1SAg4EE","fu6greOZ01","AHs5Up7iyr","oacrs7FA3X","XhwjNDsVaA","IWmyXbctLI","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","dWAJyo7jo9","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1071","layer":4},{"info":"number node, value=1309","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=1309, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2501","layer":3},{"info":"number node, value=2639","layer":4},{"info":"number node, value=1857","layer":4},{"info":"compute binary expreesion, left_input=2639, right_input=1857, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1532","layer":3},{"info":"compute binary expreesion, left_input=-2501, right_input=1532, 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=1884","layer":4},{"info":"number node, value=5750","layer":4},{"info":"compute binary expreesion, left_input=1884, right_input=5750, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7634","layer":3},{"info":"number node, value=5147","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=5147, right_input=1134, 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=-7634, 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=0, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=2534","layer":4},{"info":"number node, value=3559","layer":4},{"info":"compute binary expreesion, left_input=2534, right_input=3559, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4944","layer":3},{"info":"number node, value=3097","layer":4},{"info":"number node, value=3715","layer":4},{"info":"compute binary expreesion, left_input=3097, right_input=3715, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=4944, 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=2020","layer":4},{"info":"number node, value=1939","layer":4},{"info":"compute binary expreesion, left_input=2020, right_input=1939, 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=1028","layer":4},{"info":"number node, value=7827","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=7827, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8046156","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8046156, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10000101111⩚⊴⇥≮⫘↔10100011101)⋓(≮⫘↔101001001111⩷∴≮⫘↔11101000001)⩚⊴⇥((≮⫘↔11101011100⪒≮⫘↔1011001110110)+⇶⊼(≮⫘↔1010000011011⨐⩸⫘≮⫘↔10001101110)))≧⫂∧(≮⫘↔100111100110⪘⫢≮⫘↔110111100111⋓(≮⫘↔110000011001/≮⫘↔111010000011))≹⇙⪍((≮⫘↔11111100100+⇶⊼≮⫘↔11110010011)⪮%⊝(≮⫘↔10000000100*≮⫘↔1111010010011))=NaN","reverse_text":"NaN=((≮⫘↔10000101111⩚⊴⇥≮⫘↔10100011101)⋓(≮⫘↔101001001111⩷∴≮⫘↔11101000001)⩚⊴⇥((≮⫘↔11101011100⪒≮⫘↔1011001110110)+⇶⊼(≮⫘↔1010000011011⨐⩸⫘≮⫘↔10001101110)))≧⫂∧(≮⫘↔100111100110⪘⫢≮⫘↔110111100111⋓(≮⫘↔110000011001/≮⫘↔111010000011))≹⇙⪍((≮⫘↔11111100100+⇶⊼≮⫘↔11110010011)⪮%⊝(≮⫘↔10000000100*≮⫘↔1111010010011))","cot":[{"info":"≮⫘↔10000101111⩚⊴⇥≮⫘↔10100011101=≮⫘↔-100111000101","layer":3},{"info":"≮⫘↔101001001111⩷∴≮⫘↔11101000001=≮⫘↔10111111100","layer":3},{"info":"≮⫘↔-100111000101⋓≮⫘↔10111111100=≮⫘↔0","layer":2},{"info":"≮⫘↔11101011100⪒≮⫘↔1011001110110=≮⫘↔-1110111010010","layer":3},{"info":"≮⫘↔1010000011011⨐⩸⫘≮⫘↔10001101110=NaN","layer":3},{"info":"≮⫘↔-1110111010010+⇶⊼NaN=NaN","layer":2},{"info":"≮⫘↔0⩚⊴⇥NaN=NaN","layer":1},{"info":"≮⫘↔100111100110⪘⫢≮⫘↔110111100111=≮⫘↔1001101010000","layer":3},{"info":"≮⫘↔110000011001/≮⫘↔111010000011=≮⫘↔0","layer":3},{"info":"≮⫘↔1001101010000⋓≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔11111100100+⇶⊼≮⫘↔11110010011=NaN","layer":3},{"info":"≮⫘↔10000000100*≮⫘↔1111010010011=≮⫘↔11110101100011001001100","layer":3},{"info":"NaN⪮%⊝≮⫘↔11110101100011001001100=NaN","layer":2},{"info":"≮⫘↔0≹⇙⪍NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":155,"expression_no_base_symbol":"(((⨈⫕$2638$)↛⩡⫤)⫸⊐(($1345$≫≃)⨸⪁(⩦⩻⨪$3758$)))⨁⊸⫻","expression":"(((⨈⫕≮⫘↔101001001110)↛⩡⫤)⫸⊐((≮⫘↔10101000001≫≃)⨸⪁(⩦⩻⨪≮⫘↔111010101110)))⨁⊸⫻","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":550,"operation_count":7,"complexity_ratio":78.57142857142857,"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":2638,"base":2}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1345,"base":2}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3758,"base":2}}}}},"used_operators":["glklzrTFfD","mqXw5SEYmG","FU0Cs4j7VP","megm06wKyl","g55IO6H4Gj","X99M06cbEe","2td37pGCOC"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔101010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2638","layer":4},{"info":"compute unary expreesion, input=2638, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=21","layer":2},{"info":"number node, value=1345","layer":4},{"info":"compute unary expreesion, input=1345, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4091","layer":3},{"info":"number node, value=3758","layer":4},{"info":"compute unary expreesion, input=3758, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3758","layer":3},{"info":"compute binary expreesion, left_input=4091, right_input=3758, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15698","layer":2},{"info":"compute binary expreesion, left_input=21, right_input=15698, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=42","layer":1},{"info":"compute unary expreesion, input=42, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=42","layer":0}],"base":2,"result_base":2,"text":"(((⨈⫕≮⫘↔101001001110)↛⩡⫤)⫸⊐((≮⫘↔10101000001≫≃)⨸⪁(⩦⩻⨪≮⫘↔111010101110)))⨁⊸⫻=≮⫘↔101010","reverse_text":"≮⫘↔101010=(((⨈⫕≮⫘↔101001001110)↛⩡⫤)⫸⊐((≮⫘↔10101000001≫≃)⨸⪁(⩦⩻⨪≮⫘↔111010101110)))⨁⊸⫻","cot":[{"info":"⨈⫕≮⫘↔101001001110=≮⫘↔-10101","layer":3},{"info":"≮⫘↔-10101↛⩡⫤=≮⫘↔10101","layer":2},{"info":"≮⫘↔10101000001≫≃=≮⫘↔111111111011","layer":3},{"info":"⩦⩻⨪≮⫘↔111010101110=≮⫘↔111010101110","layer":3},{"info":"≮⫘↔111111111011⨸⪁≮⫘↔111010101110=≮⫘↔11110101010010","layer":2},{"info":"≮⫘↔10101⫸⊐≮⫘↔11110101010010=≮⫘↔101010","layer":1},{"info":"≮⫘↔101010⨁⊸⫻=≮⫘↔101010","layer":0}]}
{"id":156,"expression_no_base_symbol":"(↯⪼(($3261$⨓$5401$)⨪↰⇹($1893$/$2546$)))⋓(($3382$⋥≓≎$4609$/$2246$⋥≓≎$1371$)∲⫓$3401$⨰$1170$⪒$2936$⩚⊴⇥$1908$)","expression":"(↯⪼((≮⫘↔110010111101⨓≮⫘↔1010100011001)⨪↰⇹(≮⫘↔11101100101/≮⫘↔100111110010)))⋓((≮⫘↔110100110110⋥≓≎≮⫘↔1001000000001/≮⫘↔100011000110⋥≓≎≮⫘↔10101011011)∲⫓≮⫘↔110101001001⨰≮⫘↔10010010010⪒≮⫘↔101101111000⩚⊴⇥≮⫘↔11101110100)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10871,"operation_count":12,"complexity_ratio":905.9166666666666,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3261,"base":2},"right_expr":{"type":"numeric_atoms","value":5401,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1893,"base":2},"right_expr":{"type":"numeric_atoms","value":2546,"base":2}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3382,"base":2},"right_expr":{"type":"numeric_atoms","value":4609,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2246,"base":2},"right_expr":{"type":"numeric_atoms","value":1371,"base":2}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3401,"base":2},"right_expr":{"type":"numeric_atoms","value":1170,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2936,"base":2},"right_expr":{"type":"numeric_atoms","value":1908,"base":2}}}}},"used_operators":["T2fj7uvVaJ","8jW3W4yZS5","tmPS8pqC7x","3ViojmjbAp","XhwjNDsVaA","i8ToyICDmI","Qy55tPpLXF","f6k1SAg4EE","eewbuw0ToL","NTOWxs364D"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3261","layer":4},{"info":"number node, value=5401","layer":4},{"info":"compute binary expreesion, left_input=3261, right_input=5401, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5404","layer":3},{"info":"number node, value=1893","layer":4},{"info":"number node, value=2546","layer":4},{"info":"compute binary expreesion, left_input=1893, right_input=2546, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-5404, 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=-5404","layer":2},{"info":"compute unary expreesion, input=-5404, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=9891","layer":1},{"info":"number node, value=3382","layer":4},{"info":"number node, value=4609","layer":4},{"info":"compute binary expreesion, left_input=3382, right_input=4609, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5869","layer":3},{"info":"number node, value=2246","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=2246, right_input=1371, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=529","layer":3},{"info":"compute binary expreesion, left_input=5869, right_input=529, op_id = XhwjNDsVaA binary_op_definition= 'None', output=11","layer":2},{"info":"number node, value=3401","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=3401, right_input=1170, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2241","layer":3},{"info":"number node, value=2936","layer":4},{"info":"number node, value=1908","layer":4},{"info":"compute binary expreesion, left_input=2936, right_input=1908, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4965","layer":3},{"info":"compute binary expreesion, left_input=2241, right_input=-4965, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=2724","layer":2},{"info":"compute binary expreesion, left_input=11, right_input=2724, 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=9891, 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":0}],"base":2,"result_base":2,"text":"(↯⪼((≮⫘↔110010111101⨓≮⫘↔1010100011001)⨪↰⇹(≮⫘↔11101100101/≮⫘↔100111110010)))⋓((≮⫘↔110100110110⋥≓≎≮⫘↔1001000000001/≮⫘↔100011000110⋥≓≎≮⫘↔10101011011)∲⫓≮⫘↔110101001001⨰≮⫘↔10010010010⪒≮⫘↔101101111000⩚⊴⇥≮⫘↔11101110100)=≮⫘↔0","reverse_text":"≮⫘↔0=(↯⪼((≮⫘↔110010111101⨓≮⫘↔1010100011001)⨪↰⇹(≮⫘↔11101100101/≮⫘↔100111110010)))⋓((≮⫘↔110100110110⋥≓≎≮⫘↔1001000000001/≮⫘↔100011000110⋥≓≎≮⫘↔10101011011)∲⫓≮⫘↔110101001001⨰≮⫘↔10010010010⪒≮⫘↔101101111000⩚⊴⇥≮⫘↔11101110100)","cot":[{"info":"≮⫘↔110010111101⨓≮⫘↔1010100011001=≮⫘↔-1010100011100","layer":3},{"info":"≮⫘↔11101100101/≮⫘↔100111110010=≮⫘↔0","layer":3},{"info":"≮⫘↔-1010100011100⨪↰⇹≮⫘↔0=≮⫘↔-1010100011100","layer":2},{"info":"↯⪼≮⫘↔-1010100011100=≮⫘↔10011010100011","layer":1},{"info":"≮⫘↔110100110110⋥≓≎≮⫘↔1001000000001=≮⫘↔1011011101101","layer":3},{"info":"≮⫘↔100011000110⋥≓≎≮⫘↔10101011011=≮⫘↔1000010001","layer":3},{"info":"≮⫘↔1011011101101/≮⫘↔1000010001=≮⫘↔1011","layer":2},{"info":"≮⫘↔110101001001⨰≮⫘↔10010010010=≮⫘↔100011000001","layer":3},{"info":"≮⫘↔101101111000⩚⊴⇥≮⫘↔11101110100=≮⫘↔-1001101100101","layer":3},{"info":"≮⫘↔100011000001⪒≮⫘↔-1001101100101=≮⫘↔101010100100","layer":2},{"info":"≮⫘↔1011∲⫓≮⫘↔101010100100=≮⫘↔0","layer":1},{"info":"≮⫘↔10011010100011⋓≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":157,"expression_no_base_symbol":"((≤/$4036$⩷∴$2353$)≎⊠⪸(↯⪼(⫓⪴$1012$)))⨓(↽≂(≤/$1025$)⪢($5743$/$1506$))","expression":"((≤/≮⫘↔111111000100⩷∴≮⫘↔100100110001)≎⊠⪸(↯⪼(⫓⪴≮⫘↔1111110100)))⨓(↽≂(≤/≮⫘↔10000000001)⪢(≮⫘↔1011001101111/≮⫘↔10111100010))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2326,"operation_count":10,"complexity_ratio":232.6,"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":4036,"base":2},"right_expr":{"type":"numeric_atoms","value":2353,"base":2}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1012,"base":2}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1025,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5743,"base":2},"right_expr":{"type":"numeric_atoms","value":1506,"base":2}}}}},"used_operators":["3ViojmjbAp","bJkvcejdHO","eLAdDNolq6","9FxExcQeMw","8jW3W4yZS5","eLxqMNBOBk","u6S6b8DprG","dWAJyo7jo9","XhwjNDsVaA"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4036","layer":4},{"info":"number node, value=2353","layer":4},{"info":"compute binary expreesion, left_input=4036, right_input=2353, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3334","layer":3},{"info":"compute unary expreesion, input=3334, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2850","layer":2},{"info":"number node, value=1012","layer":4},{"info":"compute unary expreesion, input=1012, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1024144","layer":3},{"info":"compute unary expreesion, input=1024144, 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=-2850, right_input=-21, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=738150","layer":1},{"info":"number node, value=1025","layer":4},{"info":"compute unary expreesion, input=1025, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-541","layer":3},{"info":"number node, value=5743","layer":4},{"info":"number node, value=1506","layer":4},{"info":"compute binary expreesion, left_input=5743, right_input=1506, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute binary expreesion, left_input=-541, right_input=3, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute 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=738150, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≤/≮⫘↔111111000100⩷∴≮⫘↔100100110001)≎⊠⪸(↯⪼(⫓⪴≮⫘↔1111110100)))⨓(↽≂(≤/≮⫘↔10000000001)⪢(≮⫘↔1011001101111/≮⫘↔10111100010))=NaN","reverse_text":"NaN=((≤/≮⫘↔111111000100⩷∴≮⫘↔100100110001)≎⊠⪸(↯⪼(⫓⪴≮⫘↔1111110100)))⨓(↽≂(≤/≮⫘↔10000000001)⪢(≮⫘↔1011001101111/≮⫘↔10111100010))","cot":[{"info":"≮⫘↔111111000100⩷∴≮⫘↔100100110001=≮⫘↔110100000110","layer":3},{"info":"≤/≮⫘↔110100000110=≮⫘↔-101100100010","layer":2},{"info":"⫓⪴≮⫘↔1111110100=≮⫘↔11111010000010010000","layer":3},{"info":"↯⪼≮⫘↔11111010000010010000=≮⫘↔-10101","layer":2},{"info":"≮⫘↔-101100100010≎⊠⪸≮⫘↔-10101=≮⫘↔10110100001101100110","layer":1},{"info":"≤/≮⫘↔10000000001=≮⫘↔-1000011101","layer":3},{"info":"≮⫘↔1011001101111/≮⫘↔10111100010=≮⫘↔11","layer":3},{"info":"≮⫘↔-1000011101⪢≮⫘↔11=≮⫘↔0","layer":2},{"info":"↽≂≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔10110100001101100110⨓≮⫘↔0=NaN","layer":0}]}
{"id":158,"expression_no_base_symbol":"((⫓⪴$1925$⊴$1318$)*$7605$⨟⋌⩍$1101$⇷($2408$*$2159$))⨽((⨰⫟⨤$8579$)⩤)⨎($2128$⊭↱$7652$)≎⊠⪸$1192$∀⇚≩$4736$","expression":"((⫓⪴≮⫘↔11110000101⊴≮⫘↔10100100110)*≮⫘↔1110110110101⨟⋌⩍≮⫘↔10001001101⇷(≮⫘↔100101101000*≮⫘↔100001101111))⨽((⨰⫟⨤≮⫘↔10000110000011)⩤)⨎(≮⫘↔100001010000⊭↱≮⫘↔1110111100100)≎⊠⪸≮⫘↔10010101000∀⇚≩≮⫘↔1001010000000","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":47912,"operation_count":13,"complexity_ratio":3685.5384615384614,"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":1925,"base":2},"right_expr":{"type":"numeric_atoms","value":1318,"base":2}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7605,"base":2},"right_expr":{"type":"numeric_atoms","value":1101,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2408,"base":2},"right_expr":{"type":"numeric_atoms","value":2159,"base":2}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":8579,"base":2}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2128,"base":2},"right_expr":{"type":"numeric_atoms","value":7652,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1192,"base":2},"right_expr":{"type":"numeric_atoms","value":4736,"base":2}}}}},"used_operators":["8HhzD0ZcuI","9HNa5Wba9A","eLxqMNBOBk","Nsiff2A1zJ","mp7IySMOzn","rGHVDoGpnC","rJVOvQCfKK","Z2TMIBDE3Q","Tw270M8GLb","bJkvcejdHO","COABgblf1C","LRNGc0VcxI"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1925","layer":4},{"info":"number node, value=1318","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=1318, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"number node, value=7605","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=7605, right_input=1101, 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=2408","layer":4},{"info":"number node, value=2159","layer":4},{"info":"compute binary expreesion, left_input=2408, right_input=2159, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5198872","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5198872, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10397744","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10397744, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=8579","layer":4},{"info":"compute unary expreesion, input=8579, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":2},{"info":"number node, value=2128","layer":4},{"info":"number node, value=7652","layer":4},{"info":"compute binary expreesion, left_input=2128, right_input=7652, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=11053","layer":3},{"info":"number node, value=1192","layer":4},{"info":"number node, value=4736","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=4736, 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=11053, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⫓⪴≮⫘↔11110000101⊴≮⫘↔10100100110)*≮⫘↔1110110110101⨟⋌⩍≮⫘↔10001001101⇷(≮⫘↔100101101000*≮⫘↔100001101111))⨽((⨰⫟⨤≮⫘↔10000110000011)⩤)⨎(≮⫘↔100001010000⊭↱≮⫘↔1110111100100)≎⊠⪸≮⫘↔10010101000∀⇚≩≮⫘↔1001010000000=NaN","reverse_text":"NaN=((⫓⪴≮⫘↔11110000101⊴≮⫘↔10100100110)*≮⫘↔1110110110101⨟⋌⩍≮⫘↔10001001101⇷(≮⫘↔100101101000*≮⫘↔100001101111))⨽((⨰⫟⨤≮⫘↔10000110000011)⩤)⨎(≮⫘↔100001010000⊭↱≮⫘↔1110111100100)≎⊠⪸≮⫘↔10010101000∀⇚≩≮⫘↔1001010000000","cot":[{"info":"≮⫘↔11110000101⊴≮⫘↔10100100110=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"≮⫘↔1110110110101⨟⋌⩍≮⫘↔10001001101=NaN","layer":3},{"info":"≮⫘↔100101101000*≮⫘↔100001101111=≮⫘↔10011110101010000011000","layer":3},{"info":"NaN⇷≮⫘↔10011110101010000011000=≮⫘↔100111101010100000110000","layer":2},{"info":"NaN*≮⫘↔100111101010100000110000=NaN","layer":1},{"info":"⨰⫟⨤≮⫘↔10000110000011=NaN","layer":3},{"info":"NaN⩤=NaN","layer":2},{"info":"≮⫘↔100001010000⊭↱≮⫘↔1110111100100=≮⫘↔10101100101101","layer":3},{"info":"≮⫘↔10010101000∀⇚≩≮⫘↔1001010000000=NaN","layer":3},{"info":"≮⫘↔10101100101101≎⊠⪸NaN=≮⫘↔1000011","layer":2},{"info":"NaN⨎≮⫘↔1000011=≮⫘↔1000011","layer":1},{"info":"NaN⨽≮⫘↔1000011=NaN","layer":0}]}
{"id":159,"expression_no_base_symbol":"(⊙↵-(⋗⩬⋾$2963$))+⇶⊼(($1656$⫡⨏$1441$)⊉≛↸(⨞⊢$4578$))⨽((≦∁$2151$)⨰(⊄⩳↩$4086$))⪮%⊝((≤/$2656$)⊭↱(∂$4249$))","expression":"(⊙↵-(⋗⩬⋾≮⫘↔101110010011))+⇶⊼((≮⫘↔11001111000⫡⨏≮⫘↔10110100001)⊉≛↸(⨞⊢≮⫘↔1000111100010))⨽((≦∁≮⫘↔100001100111)⨰(⊄⩳↩≮⫘↔111111110110))⪮%⊝((≤/≮⫘↔101001100000)⊭↱(∂≮⫘↔1000010011001))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8973,"operation_count":14,"complexity_ratio":640.9285714285714,"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":2963,"base":2}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1656,"base":2},"right_expr":{"type":"numeric_atoms","value":1441,"base":2}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4578,"base":2}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2151,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4086,"base":2}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2656,"base":2}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4249,"base":2}}}}},"used_operators":["8HhzD0ZcuI","TpPTUOHfaN","oWn0xqSxBt","DpFCA1CohY","DZ8iAZOCBD","QMFrweE19q","xUOZtlo3hN","IWmyXbctLI","eewbuw0ToL","9ICcGScMcE","8w2t5hMYqp","COABgblf1C","eLAdDNolq6","Uaa54Peajs"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2963","layer":4},{"info":"compute unary expreesion, input=2963, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-8889","layer":3},{"info":"compute unary expreesion, input=-8889, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"number node, value=1656","layer":4},{"info":"number node, value=1441","layer":4},{"info":"compute binary expreesion, left_input=1656, right_input=1441, 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=11945","layer":3},{"info":"number node, value=4578","layer":4},{"info":"compute unary expreesion, input=4578, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4752","layer":3},{"info":"compute binary expreesion, left_input=11945, right_input=-4752, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=23890","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=23890, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=2151","layer":4},{"info":"compute unary expreesion, input=2151, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2151","layer":3},{"info":"number node, value=4086","layer":4},{"info":"compute unary expreesion, input=4086, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-12258","layer":3},{"info":"compute binary expreesion, left_input=2151, right_input=-12258, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=14419","layer":2},{"info":"number node, value=2656","layer":4},{"info":"compute unary expreesion, input=2656, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2172","layer":3},{"info":"number node, value=4249","layer":4},{"info":"compute unary expreesion, input=4249, 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=-2172, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=14419, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊙↵-(⋗⩬⋾≮⫘↔101110010011))+⇶⊼((≮⫘↔11001111000⫡⨏≮⫘↔10110100001)⊉≛↸(⨞⊢≮⫘↔1000111100010))⨽((≦∁≮⫘↔100001100111)⨰(⊄⩳↩≮⫘↔111111110110))⪮%⊝((≤/≮⫘↔101001100000)⊭↱(∂≮⫘↔1000010011001))=NaN","reverse_text":"NaN=(⊙↵-(⋗⩬⋾≮⫘↔101110010011))+⇶⊼((≮⫘↔11001111000⫡⨏≮⫘↔10110100001)⊉≛↸(⨞⊢≮⫘↔1000111100010))⨽((≦∁≮⫘↔100001100111)⨰(⊄⩳↩≮⫘↔111111110110))⪮%⊝((≤/≮⫘↔101001100000)⊭↱(∂≮⫘↔1000010011001))","cot":[{"info":"⋗⩬⋾≮⫘↔101110010011=≮⫘↔-10001010111001","layer":3},{"info":"⊙↵-≮⫘↔-10001010111001=≮⫘↔11000100","layer":2},{"info":"≮⫘↔11001111000⫡⨏≮⫘↔10110100001=≮⫘↔10111010101001","layer":3},{"info":"⨞⊢≮⫘↔1000111100010=≮⫘↔-1001010010000","layer":3},{"info":"≮⫘↔10111010101001⊉≛↸≮⫘↔-1001010010000=≮⫘↔101110101010010","layer":2},{"info":"≮⫘↔11000100+⇶⊼≮⫘↔101110101010010=NaN","layer":1},{"info":"≦∁≮⫘↔100001100111=≮⫘↔100001100111","layer":3},{"info":"⊄⩳↩≮⫘↔111111110110=≮⫘↔-10111111100010","layer":3},{"info":"≮⫘↔100001100111⨰≮⫘↔-10111111100010=≮⫘↔11100001010011","layer":2},{"info":"≤/≮⫘↔101001100000=≮⫘↔-100001111100","layer":3},{"info":"∂≮⫘↔1000010011001=NaN","layer":3},{"info":"≮⫘↔-100001111100⊭↱NaN=NaN","layer":2},{"info":"≮⫘↔11100001010011⪮%⊝NaN=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":160,"expression_no_base_symbol":"$1453$⊴$1810$⩚⊴⇥$8909$⨓$1005$+⇶⊼(($1364$+$2321$)⪒($1300$⋫))⋷(↩(∥⊫$1142$⇷$5800$))","expression":"≮⫘↔10110101101⊴≮⫘↔11100010010⩚⊴⇥≮⫘↔10001011001101⨓≮⫘↔1111101101+⇶⊼((≮⫘↔10101010100+≮⫘↔100100010001)⪒(≮⫘↔10100010100⋫))⋷(↩(∥⊫≮⫘↔10001110110⇷≮⫘↔1011010101000))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":20151,"operation_count":11,"complexity_ratio":1831.909090909091,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1453,"base":2},"right_expr":{"type":"numeric_atoms","value":1810,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":8909,"base":2},"right_expr":{"type":"numeric_atoms","value":1005,"base":2}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1364,"base":2},"right_expr":{"type":"numeric_atoms","value":2321,"base":2}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1300,"base":2}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1142,"base":2},"right_expr":{"type":"numeric_atoms","value":5800,"base":2}}}}},"used_operators":["23Mk6UjR3U","TpPTUOHfaN","NTOWxs364D","Nsiff2A1zJ","3ViojmjbAp","f6k1SAg4EE","W4YGzv6Whe","JL8yIekQnl","jLgFTUHLKL","P8v4zCKN1o","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1453","layer":4},{"info":"number node, value=1810","layer":4},{"info":"compute binary expreesion, left_input=1453, right_input=1810, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=8909","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=8909, right_input=1005, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1008","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1008, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=1364","layer":4},{"info":"number node, value=2321","layer":4},{"info":"compute binary expreesion, left_input=1364, right_input=2321, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3685","layer":3},{"info":"number node, value=1300","layer":4},{"info":"compute unary expreesion, input=1300, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1300","layer":3},{"info":"compute binary expreesion, left_input=3685, right_input=1300, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4985","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4985, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=1142","layer":4},{"info":"number node, value=5800","layer":4},{"info":"compute binary expreesion, left_input=1142, right_input=5800, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11600","layer":3},{"info":"compute unary expreesion, input=11600, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=12468","layer":2},{"info":"compute unary expreesion, input=12468, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-96964","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-96964, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔10110101101⊴≮⫘↔11100010010⩚⊴⇥≮⫘↔10001011001101⨓≮⫘↔1111101101+⇶⊼((≮⫘↔10101010100+≮⫘↔100100010001)⪒(≮⫘↔10100010100⋫))⋷(↩(∥⊫≮⫘↔10001110110⇷≮⫘↔1011010101000))=NaN","reverse_text":"NaN=≮⫘↔10110101101⊴≮⫘↔11100010010⩚⊴⇥≮⫘↔10001011001101⨓≮⫘↔1111101101+⇶⊼((≮⫘↔10101010100+≮⫘↔100100010001)⪒(≮⫘↔10100010100⋫))⋷(↩(∥⊫≮⫘↔10001110110⇷≮⫘↔1011010101000))","cot":[{"info":"≮⫘↔10110101101⊴≮⫘↔11100010010=NaN","layer":3},{"info":"≮⫘↔10001011001101⨓≮⫘↔1111101101=≮⫘↔-1111110000","layer":3},{"info":"NaN⩚⊴⇥≮⫘↔-1111110000=NaN","layer":2},{"info":"≮⫘↔10101010100+≮⫘↔100100010001=≮⫘↔111001100101","layer":3},{"info":"≮⫘↔10100010100⋫=≮⫘↔10100010100","layer":3},{"info":"≮⫘↔111001100101⪒≮⫘↔10100010100=≮⫘↔-1001101111001","layer":2},{"info":"NaN+⇶⊼≮⫘↔-1001101111001=NaN","layer":1},{"info":"≮⫘↔10001110110⇷≮⫘↔1011010101000=≮⫘↔10110101010000","layer":3},{"info":"∥⊫≮⫘↔10110101010000=≮⫘↔11000010110100","layer":2},{"info":"↩≮⫘↔11000010110100=≮⫘↔-10111101011000100","layer":1},{"info":"NaN⋷≮⫘↔-10111101011000100=NaN","layer":0}]}
{"id":161,"expression_no_base_symbol":"($1522$⨳⩥⨓$1655$⫡⨏$2678$%$2905$)⨳⩥⨓$1450$⊴$1300$⩷∴($1559$⨽$8083$)/((↯⪼($4077$⊭↱$1087$))⪨≂($1739$⊭↱$2203$)∑⇟⊟($4365$⇼⇔∾$1875$))","expression":"(≮⫘↔10111110010⨳⩥⨓≮⫘↔11001110111⫡⨏≮⫘↔101001110110%≮⫘↔101101011001)⨳⩥⨓≮⫘↔10110101010⊴≮⫘↔10100010100⩷∴(≮⫘↔11000010111⨽≮⫘↔1111110010011)/((↯⪼(≮⫘↔111111101101⊭↱≮⫘↔10000111111))⪨≂(≮⫘↔11011001011⊭↱≮⫘↔100010011011)∑⇟⊟(≮⫘↔1000100001101⇼⇔∾≮⫘↔11101010011))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2977,"operation_count":14,"complexity_ratio":212.64285714285714,"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":1522,"base":2},"right_expr":{"type":"numeric_atoms","value":1655,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2678,"base":2},"right_expr":{"type":"numeric_atoms","value":2905,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1450,"base":2},"right_expr":{"type":"numeric_atoms","value":1300,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1559,"base":2},"right_expr":{"type":"numeric_atoms","value":8083,"base":2}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4077,"base":2},"right_expr":{"type":"numeric_atoms","value":1087,"base":2}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1739,"base":2},"right_expr":{"type":"numeric_atoms","value":2203,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4365,"base":2},"right_expr":{"type":"numeric_atoms","value":1875,"base":2}}}}},"used_operators":["XhwjNDsVaA","nCS4ZIUYfx","QMFrweE19q","k8jYdgA6NY","9FxExcQeMw","Nsiff2A1zJ","8HhzD0ZcuI","sdazOOVcIp","8jW3W4yZS5","COABgblf1C","U7g4x0WXJJ","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1522","layer":4},{"info":"number node, value=1655","layer":4},{"info":"compute binary expreesion, left_input=1522, right_input=1655, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=133","layer":3},{"info":"number node, value=2678","layer":4},{"info":"number node, value=2905","layer":4},{"info":"compute binary expreesion, left_input=2678, right_input=2905, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2678","layer":3},{"info":"compute binary expreesion, left_input=133, right_input=2678, 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=6804","layer":2},{"info":"number node, value=1450","layer":4},{"info":"number node, value=1300","layer":4},{"info":"compute binary expreesion, left_input=1450, right_input=1300, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1559","layer":4},{"info":"number node, value=8083","layer":4},{"info":"compute binary expreesion, left_input=1559, right_input=8083, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7314378","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7314378, 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=6804, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=4077","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=4077, right_input=1087, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5975","layer":3},{"info":"compute unary expreesion, input=-5975, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=11033","layer":2},{"info":"number node, value=1739","layer":4},{"info":"number node, value=2203","layer":4},{"info":"compute binary expreesion, left_input=1739, right_input=2203, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=933","layer":3},{"info":"number node, value=4365","layer":4},{"info":"number node, value=1875","layer":4},{"info":"compute binary expreesion, left_input=4365, right_input=1875, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2490","layer":3},{"info":"compute binary expreesion, left_input=933, right_input=-2490, 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=11033, 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=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10111110010⨳⩥⨓≮⫘↔11001110111⫡⨏≮⫘↔101001110110%≮⫘↔101101011001)⨳⩥⨓≮⫘↔10110101010⊴≮⫘↔10100010100⩷∴(≮⫘↔11000010111⨽≮⫘↔1111110010011)/((↯⪼(≮⫘↔111111101101⊭↱≮⫘↔10000111111))⪨≂(≮⫘↔11011001011⊭↱≮⫘↔100010011011)∑⇟⊟(≮⫘↔1000100001101⇼⇔∾≮⫘↔11101010011))=NaN","reverse_text":"NaN=(≮⫘↔10111110010⨳⩥⨓≮⫘↔11001110111⫡⨏≮⫘↔101001110110%≮⫘↔101101011001)⨳⩥⨓≮⫘↔10110101010⊴≮⫘↔10100010100⩷∴(≮⫘↔11000010111⨽≮⫘↔1111110010011)/((↯⪼(≮⫘↔111111101101⊭↱≮⫘↔10000111111))⪨≂(≮⫘↔11011001011⊭↱≮⫘↔100010011011)∑⇟⊟(≮⫘↔1000100001101⇼⇔∾≮⫘↔11101010011))","cot":[{"info":"≮⫘↔10111110010⨳⩥⨓≮⫘↔11001110111=≮⫘↔10000101","layer":3},{"info":"≮⫘↔101001110110%≮⫘↔101101011001=≮⫘↔101001110110","layer":3},{"info":"≮⫘↔10000101⫡⨏≮⫘↔101001110110=≮⫘↔1101010010100","layer":2},{"info":"≮⫘↔10110101010⊴≮⫘↔10100010100=NaN","layer":3},{"info":"≮⫘↔11000010111⨽≮⫘↔1111110010011=≮⫘↔-11011111001101111001010","layer":3},{"info":"NaN⩷∴≮⫘↔-11011111001101111001010=NaN","layer":2},{"info":"≮⫘↔1101010010100⨳⩥⨓NaN=NaN","layer":1},{"info":"≮⫘↔111111101101⊭↱≮⫘↔10000111111=≮⫘↔-1011101010111","layer":3},{"info":"↯⪼≮⫘↔-1011101010111=≮⫘↔10101100011001","layer":2},{"info":"≮⫘↔11011001011⊭↱≮⫘↔100010011011=≮⫘↔1110100101","layer":3},{"info":"≮⫘↔1000100001101⇼⇔∾≮⫘↔11101010011=≮⫘↔-100110111010","layer":3},{"info":"≮⫘↔1110100101∑⇟⊟≮⫘↔-100110111010=NaN","layer":2},{"info":"≮⫘↔10101100011001⪨≂NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":162,"expression_no_base_symbol":"(($3684$⩨$3362$)⩷∴(+⊝⨔$3153$)⊉≛↸(≤/$2395$⨽$2765$))⊴((≤/($4939$∲⫓$1070$))/($1575$≧⫂∧$8899$⋷$8770$≎⊠⪸$1734$))","expression":"((≮⫘↔111001100100⩨≮⫘↔110100100010)⩷∴(+⊝⨔≮⫘↔110001010001)⊉≛↸(≤/≮⫘↔100101011011⨽≮⫘↔101011001101))⊴((≤/(≮⫘↔1001101001011∲⫓≮⫘↔10000101110))/(≮⫘↔11000100111≧⫂∧≮⫘↔10001011000011⋷≮⫘↔10001001000010≎⊠⪸≮⫘↔11011000110))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2744,"operation_count":13,"complexity_ratio":211.07692307692307,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3684,"base":2},"right_expr":{"type":"numeric_atoms","value":3362,"base":2}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3153,"base":2}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2395,"base":2},"right_expr":{"type":"numeric_atoms","value":2765,"base":2}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4939,"base":2},"right_expr":{"type":"numeric_atoms","value":1070,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1575,"base":2},"right_expr":{"type":"numeric_atoms","value":8899,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":8770,"base":2},"right_expr":{"type":"numeric_atoms","value":1734,"base":2}}}}},"used_operators":["Nsiff2A1zJ","DZ8iAZOCBD","9FxExcQeMw","2DlMacCsIx","DhbWaqg5eL","eLAdDNolq6","8HhzD0ZcuI","XhwjNDsVaA","i8ToyICDmI","23Mk6UjR3U","Ph9nP6C5qx","bJkvcejdHO"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"≮⫘↔-1001111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3684","layer":4},{"info":"number node, value=3362","layer":4},{"info":"compute binary expreesion, left_input=3684, right_input=3362, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=3153","layer":4},{"info":"compute unary expreesion, input=3153, 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=0, right_input=1522, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3076","layer":2},{"info":"number node, value=2395","layer":4},{"info":"number node, value=2765","layer":4},{"info":"compute binary expreesion, left_input=2395, right_input=2765, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-17215056","layer":3},{"info":"compute unary expreesion, input=-17215056, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=17215540","layer":2},{"info":"compute binary expreesion, left_input=-3076, right_input=17215540, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-17215540","layer":1},{"info":"number node, value=4939","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=4939, right_input=1070, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":2},{"info":"number node, value=1575","layer":4},{"info":"number node, value=8899","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=8899, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8426","layer":3},{"info":"number node, value=8770","layer":4},{"info":"number node, value=1734","layer":4},{"info":"compute binary expreesion, left_input=8770, right_input=1734, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2270957","layer":3},{"info":"compute binary expreesion, left_input=8426, right_input=2270957, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4533488","layer":2},{"info":"compute binary expreesion, left_input=484, right_input=4533488, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=-17215540, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111001100100⩨≮⫘↔110100100010)⩷∴(+⊝⨔≮⫘↔110001010001)⊉≛↸(≤/≮⫘↔100101011011⨽≮⫘↔101011001101))⊴((≤/(≮⫘↔1001101001011∲⫓≮⫘↔10000101110))/(≮⫘↔11000100111≧⫂∧≮⫘↔10001011000011⋷≮⫘↔10001001000010≎⊠⪸≮⫘↔11011000110))=≮⫘↔-1001111","reverse_text":"≮⫘↔-1001111=((≮⫘↔111001100100⩨≮⫘↔110100100010)⩷∴(+⊝⨔≮⫘↔110001010001)⊉≛↸(≤/≮⫘↔100101011011⨽≮⫘↔101011001101))⊴((≤/(≮⫘↔1001101001011∲⫓≮⫘↔10000101110))/(≮⫘↔11000100111≧⫂∧≮⫘↔10001011000011⋷≮⫘↔10001001000010≎⊠⪸≮⫘↔11011000110))","cot":[{"info":"≮⫘↔111001100100⩨≮⫘↔110100100010=≮⫘↔0","layer":3},{"info":"+⊝⨔≮⫘↔110001010001=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔0⩷∴≮⫘↔10111110010=≮⫘↔-110000000100","layer":2},{"info":"≮⫘↔100101011011⨽≮⫘↔101011001101=≮⫘↔-1000001101010111001010000","layer":3},{"info":"≤/≮⫘↔-1000001101010111001010000=≮⫘↔1000001101011000000110100","layer":2},{"info":"≮⫘↔-110000000100⊉≛↸≮⫘↔1000001101011000000110100=≮⫘↔-1000001101011000000110100","layer":1},{"info":"≮⫘↔1001101001011∲⫓≮⫘↔10000101110=≮⫘↔0","layer":3},{"info":"≤/≮⫘↔0=≮⫘↔111100100","layer":2},{"info":"≮⫘↔11000100111≧⫂∧≮⫘↔10001011000011=≮⫘↔10000011101010","layer":3},{"info":"≮⫘↔10001001000010≎⊠⪸≮⫘↔11011000110=≮⫘↔1000101010011011101101","layer":3},{"info":"≮⫘↔10000011101010⋷≮⫘↔1000101010011011101101=≮⫘↔10001010010110011110000","layer":2},{"info":"≮⫘↔111100100/≮⫘↔10001010010110011110000=≮⫘↔0","layer":1},{"info":"≮⫘↔-1000001101011000000110100⊴≮⫘↔0=≮⫘↔-1001111","layer":0}]}
{"id":163,"expression_no_base_symbol":"((($6618$⪐)∲⫓$1144$-$1853$)⇼⇔∾($6247$⇼⇔∾$2196$⪒$3930$⨪↰⇹$2308$))↬(($3741$∀⇚≩$1682$)⊴($1790$↺$6144$)⨁⊸⫻)","expression":"(((≮⫘↔1100111011010⪐)∲⫓≮⫘↔10001111000-≮⫘↔11100111101)⇼⇔∾(≮⫘↔1100001100111⇼⇔∾≮⫘↔100010010100⪒≮⫘↔111101011010⨪↰⇹≮⫘↔100100000100))↬((≮⫘↔111010011101∀⇚≩≮⫘↔11010010010)⊴(≮⫘↔11011111110↺≮⫘↔1100000000000)⨁⊸⫻)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":36282,"operation_count":12,"complexity_ratio":3023.5,"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":6618,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1144,"base":2},"right_expr":{"type":"numeric_atoms","value":1853,"base":2}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6247,"base":2},"right_expr":{"type":"numeric_atoms","value":2196,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3930,"base":2},"right_expr":{"type":"numeric_atoms","value":2308,"base":2}}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3741,"base":2},"right_expr":{"type":"numeric_atoms","value":1682,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1790,"base":2},"right_expr":{"type":"numeric_atoms","value":6144,"base":2}}}}},"used_operators":["B5M0gjZbta","tifHPKVTfV","i8ToyICDmI","eH2TOUuTDT","rysDP5nf3Z","f6k1SAg4EE","tmPS8pqC7x","glklzrTFfD","Nsiff2A1zJ","LRNGc0VcxI","7j4O788W3g"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6618","layer":4},{"info":"compute unary expreesion, input=6618, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=13236","layer":3},{"info":"number node, value=1144","layer":4},{"info":"number node, value=1853","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=1853, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-709","layer":3},{"info":"compute binary expreesion, left_input=13236, right_input=-709, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=13236","layer":2},{"info":"number node, value=6247","layer":4},{"info":"number node, value=2196","layer":4},{"info":"compute binary expreesion, left_input=6247, right_input=2196, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4051","layer":3},{"info":"number node, value=3930","layer":4},{"info":"number node, value=2308","layer":4},{"info":"compute binary expreesion, left_input=3930, right_input=2308, 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=3930","layer":3},{"info":"compute binary expreesion, left_input=-4051, right_input=3930, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=121","layer":2},{"info":"compute binary expreesion, left_input=13236, right_input=121, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-13115","layer":1},{"info":"number node, value=3741","layer":4},{"info":"number node, value=1682","layer":4},{"info":"compute binary expreesion, left_input=3741, right_input=1682, 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=1790","layer":4},{"info":"number node, value=6144","layer":4},{"info":"compute binary expreesion, left_input=1790, right_input=6144, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6144","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6144, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-13115, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1100111011010⪐)∲⫓≮⫘↔10001111000-≮⫘↔11100111101)⇼⇔∾(≮⫘↔1100001100111⇼⇔∾≮⫘↔100010010100⪒≮⫘↔111101011010⨪↰⇹≮⫘↔100100000100))↬((≮⫘↔111010011101∀⇚≩≮⫘↔11010010010)⊴(≮⫘↔11011111110↺≮⫘↔1100000000000)⨁⊸⫻)=NaN","reverse_text":"NaN=(((≮⫘↔1100111011010⪐)∲⫓≮⫘↔10001111000-≮⫘↔11100111101)⇼⇔∾(≮⫘↔1100001100111⇼⇔∾≮⫘↔100010010100⪒≮⫘↔111101011010⨪↰⇹≮⫘↔100100000100))↬((≮⫘↔111010011101∀⇚≩≮⫘↔11010010010)⊴(≮⫘↔11011111110↺≮⫘↔1100000000000)⨁⊸⫻)","cot":[{"info":"≮⫘↔1100111011010⪐=≮⫘↔11001110110100","layer":3},{"info":"≮⫘↔10001111000-≮⫘↔11100111101=≮⫘↔-1011000101","layer":3},{"info":"≮⫘↔11001110110100∲⫓≮⫘↔-1011000101=≮⫘↔11001110110100","layer":2},{"info":"≮⫘↔1100001100111⇼⇔∾≮⫘↔100010010100=≮⫘↔-111111010011","layer":3},{"info":"≮⫘↔111101011010⨪↰⇹≮⫘↔100100000100=≮⫘↔111101011010","layer":3},{"info":"≮⫘↔-111111010011⪒≮⫘↔111101011010=≮⫘↔1111001","layer":2},{"info":"≮⫘↔11001110110100⇼⇔∾≮⫘↔1111001=≮⫘↔-11001100111011","layer":1},{"info":"≮⫘↔111010011101∀⇚≩≮⫘↔11010010010=NaN","layer":3},{"info":"≮⫘↔11011111110↺≮⫘↔1100000000000=≮⫘↔1100000000000","layer":3},{"info":"NaN⊴≮⫘↔1100000000000=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"≮⫘↔-11001100111011↬NaN=NaN","layer":0}]}
{"id":164,"expression_no_base_symbol":"(∂(⋗⩬⋾($3724$-$3878$)))↬((∂$3755$)⨎$1497$∑⇟⊟$8023$+$1464$⪛$3675$∑⇟⊟($1217$⪄$1826$))","expression":"(∂(⋗⩬⋾(≮⫘↔111010001100-≮⫘↔111100100110)))↬((∂≮⫘↔111010101011)⨎≮⫘↔10111011001∑⇟⊟≮⫘↔1111101010111+≮⫘↔10110111000⪛≮⫘↔111001011011∑⇟⊟(≮⫘↔10011000001⪄≮⫘↔11100100010))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":110,"operation_count":11,"complexity_ratio":10.0,"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":3724,"base":2},"right_expr":{"type":"numeric_atoms","value":3878,"base":2}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3755,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1497,"base":2},"right_expr":{"type":"numeric_atoms","value":8023,"base":2}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1464,"base":2},"right_expr":{"type":"numeric_atoms","value":3675,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1217,"base":2},"right_expr":{"type":"numeric_atoms","value":1826,"base":2}}}}},"used_operators":["B5M0gjZbta","Uaa54Peajs","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","rJVOvQCfKK","U7g4x0WXJJ","uFcxV4UQCh","SUmda5xLS4"],"dependent_operators":["rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3724","layer":4},{"info":"number node, value=3878","layer":4},{"info":"compute binary expreesion, left_input=3724, right_input=3878, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-154","layer":3},{"info":"compute unary expreesion, input=-154, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=462","layer":2},{"info":"compute unary expreesion, input=462, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"number node, value=3755","layer":4},{"info":"compute unary expreesion, input=3755, 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=1497","layer":4},{"info":"number node, value=8023","layer":4},{"info":"compute binary expreesion, left_input=1497, right_input=8023, 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 = 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=1464","layer":4},{"info":"number node, value=3675","layer":4},{"info":"compute binary expreesion, left_input=1464, right_input=3675, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1464","layer":3},{"info":"number node, value=1217","layer":4},{"info":"number node, value=1826","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=1826, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-183509","layer":3},{"info":"compute binary expreesion, left_input=1464, right_input=-183509, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(∂(⋗⩬⋾(≮⫘↔111010001100-≮⫘↔111100100110)))↬((∂≮⫘↔111010101011)⨎≮⫘↔10111011001∑⇟⊟≮⫘↔1111101010111+≮⫘↔10110111000⪛≮⫘↔111001011011∑⇟⊟(≮⫘↔10011000001⪄≮⫘↔11100100010))=NaN","reverse_text":"NaN=(∂(⋗⩬⋾(≮⫘↔111010001100-≮⫘↔111100100110)))↬((∂≮⫘↔111010101011)⨎≮⫘↔10111011001∑⇟⊟≮⫘↔1111101010111+≮⫘↔10110111000⪛≮⫘↔111001011011∑⇟⊟(≮⫘↔10011000001⪄≮⫘↔11100100010))","cot":[{"info":"≮⫘↔111010001100-≮⫘↔111100100110=≮⫘↔-10011010","layer":3},{"info":"⋗⩬⋾≮⫘↔-10011010=≮⫘↔111001110","layer":2},{"info":"∂≮⫘↔111001110=NaN","layer":1},{"info":"∂≮⫘↔111010101011=NaN","layer":3},{"info":"≮⫘↔10111011001∑⇟⊟≮⫘↔1111101010111=NaN","layer":3},{"info":"NaN⨎NaN=NaN","layer":2},{"info":"≮⫘↔10110111000⪛≮⫘↔111001011011=≮⫘↔10110111000","layer":3},{"info":"≮⫘↔10011000001⪄≮⫘↔11100100010=≮⫘↔-101100110011010101","layer":3},{"info":"≮⫘↔10110111000∑⇟⊟≮⫘↔-101100110011010101=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":165,"expression_no_base_symbol":"($7084$⨐⩸⫘$2177$)⪛($5663$⨁⊸⫻)⇷(⨵≀≌$2225$⊴$5702$)⨸⪁($7090$⊴$1049$⨽$1342$⨰$1861$⪨≂((⊥$1546$)⩠))","expression":"(≮⫘↔1101110101100⨐⩸⫘≮⫘↔100010000001)⪛(≮⫘↔1011000011111⨁⊸⫻)⇷(⨵≀≌≮⫘↔100010110001⊴≮⫘↔1011001000110)⨸⪁(≮⫘↔1101110110010⊴≮⫘↔10000011001⨽≮⫘↔10100111110⨰≮⫘↔11101000101⪨≂((⊥≮⫘↔11000001010)⩠))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13403,"operation_count":13,"complexity_ratio":1031.0,"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":7084,"base":2},"right_expr":{"type":"numeric_atoms","value":2177,"base":2}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":5663,"base":2}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2225,"base":2},"right_expr":{"type":"numeric_atoms","value":5702,"base":2}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7090,"base":2},"right_expr":{"type":"numeric_atoms","value":1049,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1342,"base":2},"right_expr":{"type":"numeric_atoms","value":1861,"base":2}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1546,"base":2}}}}},"used_operators":["g55IO6H4Gj","mp7IySMOzn","uFcxV4UQCh","fu6greOZ01","glklzrTFfD","srAu1WTS94","Nsiff2A1zJ","sdazOOVcIp","8HhzD0ZcuI","eewbuw0ToL","sJAwomhLZr","Q3PJZHRvZv"],"dependent_operators":["W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=7084","layer":4},{"info":"number node, value=2177","layer":4},{"info":"compute binary expreesion, left_input=7084, right_input=2177, 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=5663","layer":4},{"info":"compute unary expreesion, input=5663, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5663","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5663, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=2225","layer":4},{"info":"number node, value=5702","layer":4},{"info":"compute binary expreesion, left_input=2225, right_input=5702, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"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":1},{"info":"number node, value=7090","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=7090, right_input=1049, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1342","layer":4},{"info":"number node, value=1861","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=1861, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-509","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-509, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=1546","layer":4},{"info":"compute unary expreesion, input=1546, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, 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 = 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1101110101100⨐⩸⫘≮⫘↔100010000001)⪛(≮⫘↔1011000011111⨁⊸⫻)⇷(⨵≀≌≮⫘↔100010110001⊴≮⫘↔1011001000110)⨸⪁(≮⫘↔1101110110010⊴≮⫘↔10000011001⨽≮⫘↔10100111110⨰≮⫘↔11101000101⪨≂((⊥≮⫘↔11000001010)⩠))=NaN","reverse_text":"NaN=(≮⫘↔1101110101100⨐⩸⫘≮⫘↔100010000001)⪛(≮⫘↔1011000011111⨁⊸⫻)⇷(⨵≀≌≮⫘↔100010110001⊴≮⫘↔1011001000110)⨸⪁(≮⫘↔1101110110010⊴≮⫘↔10000011001⨽≮⫘↔10100111110⨰≮⫘↔11101000101⪨≂((⊥≮⫘↔11000001010)⩠))","cot":[{"info":"≮⫘↔1101110101100⨐⩸⫘≮⫘↔100010000001=NaN","layer":3},{"info":"≮⫘↔1011000011111⨁⊸⫻=≮⫘↔1011000011111","layer":3},{"info":"NaN⪛≮⫘↔1011000011111=NaN","layer":2},{"info":"≮⫘↔100010110001⊴≮⫘↔1011001000110=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"≮⫘↔1101110110010⊴≮⫘↔10000011001=NaN","layer":3},{"info":"≮⫘↔10100111110⨰≮⫘↔11101000101=≮⫘↔-111111101","layer":3},{"info":"NaN⨽≮⫘↔-111111101=NaN","layer":2},{"info":"⊥≮⫘↔11000001010=NaN","layer":3},{"info":"NaN⩠=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":166,"expression_no_base_symbol":"($3185$↬$6724$⨐⩸⫘(∂$3662$)/(≦∁$1367$)≭($8922$*$1032$))-($1019$⨰$3702$↺($1347$-$6667$))⨓(($7777$⨳⩥⨓$3054$)⨎($2618$↺$1898$))","expression":"(≮⫘↔110001110001↬≮⫘↔1101001000100⨐⩸⫘(∂≮⫘↔111001001110)/(≦∁≮⫘↔10101010111)≭(≮⫘↔10001011011010*≮⫘↔10000001000))-(≮⫘↔1111111011⨰≮⫘↔111001110110↺(≮⫘↔10101000011-≮⫘↔1101000001011))⨓((≮⫘↔1111001100001⨳⩥⨓≮⫘↔101111101110)⨎(≮⫘↔101000111010↺≮⫘↔11101101010))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2958,"operation_count":15,"complexity_ratio":197.2,"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":3185,"base":2},"right_expr":{"type":"numeric_atoms","value":6724,"base":2}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3662,"base":2}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1367,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":8922,"base":2},"right_expr":{"type":"numeric_atoms","value":1032,"base":2}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1019,"base":2},"right_expr":{"type":"numeric_atoms","value":3702,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1347,"base":2},"right_expr":{"type":"numeric_atoms","value":6667,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":7777,"base":2},"right_expr":{"type":"numeric_atoms","value":3054,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2618,"base":2},"right_expr":{"type":"numeric_atoms","value":1898,"base":2}}}}},"used_operators":["rysDP5nf3Z","XhwjNDsVaA","fu6greOZ01","B5M0gjZbta","Uaa54Peajs","rxpJgHHUmx","9ICcGScMcE","9HNa5Wba9A","3ViojmjbAp","7j4O788W3g","eewbuw0ToL","rJVOvQCfKK","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","3ViojmjbAp","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3185","layer":4},{"info":"number node, value=6724","layer":4},{"info":"compute binary expreesion, left_input=3185, right_input=6724, 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=3662","layer":4},{"info":"compute unary expreesion, input=3662, 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=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":2},{"info":"number node, value=1367","layer":4},{"info":"compute unary expreesion, input=1367, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1367","layer":3},{"info":"number node, value=8922","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=8922, right_input=1032, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9207504","layer":3},{"info":"compute binary expreesion, left_input=1367, right_input=9207504, 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1019","layer":4},{"info":"number node, value=3702","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=3702, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2673","layer":3},{"info":"number node, value=1347","layer":4},{"info":"number node, value=6667","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=6667, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5320","layer":3},{"info":"compute binary expreesion, left_input=-2673, right_input=-5320, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-5320","layer":2},{"info":"number node, value=7777","layer":4},{"info":"number node, value=3054","layer":4},{"info":"compute binary expreesion, left_input=7777, right_input=3054, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4723","layer":3},{"info":"number node, value=2618","layer":4},{"info":"number node, value=1898","layer":4},{"info":"compute binary expreesion, left_input=2618, right_input=1898, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1898","layer":3},{"info":"compute binary expreesion, left_input=-4723, right_input=1898, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1898","layer":2},{"info":"compute binary expreesion, left_input=-5320, right_input=1898, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1901","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1901, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110001110001↬≮⫘↔1101001000100⨐⩸⫘(∂≮⫘↔111001001110)/(≦∁≮⫘↔10101010111)≭(≮⫘↔10001011011010*≮⫘↔10000001000))-(≮⫘↔1111111011⨰≮⫘↔111001110110↺(≮⫘↔10101000011-≮⫘↔1101000001011))⨓((≮⫘↔1111001100001⨳⩥⨓≮⫘↔101111101110)⨎(≮⫘↔101000111010↺≮⫘↔11101101010))=NaN","reverse_text":"NaN=(≮⫘↔110001110001↬≮⫘↔1101001000100⨐⩸⫘(∂≮⫘↔111001001110)/(≦∁≮⫘↔10101010111)≭(≮⫘↔10001011011010*≮⫘↔10000001000))-(≮⫘↔1111111011⨰≮⫘↔111001110110↺(≮⫘↔10101000011-≮⫘↔1101000001011))⨓((≮⫘↔1111001100001⨳⩥⨓≮⫘↔101111101110)⨎(≮⫘↔101000111010↺≮⫘↔11101101010))","cot":[{"info":"≮⫘↔110001110001↬≮⫘↔1101001000100=NaN","layer":3},{"info":"∂≮⫘↔111001001110=NaN","layer":3},{"info":"NaN⨐⩸⫘NaN=NaN","layer":2},{"info":"≦∁≮⫘↔10101010111=≮⫘↔10101010111","layer":3},{"info":"≮⫘↔10001011011010*≮⫘↔10000001000=≮⫘↔100011000111111011010000","layer":3},{"info":"≮⫘↔10101010111≭≮⫘↔100011000111111011010000=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"≮⫘↔1111111011⨰≮⫘↔111001110110=≮⫘↔-101001110001","layer":3},{"info":"≮⫘↔10101000011-≮⫘↔1101000001011=≮⫘↔-1010011001000","layer":3},{"info":"≮⫘↔-101001110001↺≮⫘↔-1010011001000=≮⫘↔-1010011001000","layer":2},{"info":"≮⫘↔1111001100001⨳⩥⨓≮⫘↔101111101110=≮⫘↔-1001001110011","layer":3},{"info":"≮⫘↔101000111010↺≮⫘↔11101101010=≮⫘↔11101101010","layer":3},{"info":"≮⫘↔-1001001110011⨎≮⫘↔11101101010=≮⫘↔11101101010","layer":2},{"info":"≮⫘↔-1010011001000⨓≮⫘↔11101101010=≮⫘↔-11101101101","layer":1},{"info":"NaN-≮⫘↔-11101101101=NaN","layer":0}]}
{"id":167,"expression_no_base_symbol":"(∥⊫$1602$⪛$5355$⨓($2032$⫸⊐$5591$))↺((($7038$+$1945$)⊦⊿)⨸⪁(($4193$-$1518$)⩨($1628$⨵⪆$5523$)))","expression":"(∥⊫≮⫘↔11001000010⪛≮⫘↔1010011101011⨓(≮⫘↔11111110000⫸⊐≮⫘↔1010111010111))↺(((≮⫘↔1101101111110+≮⫘↔11110011001)⊦⊿)⨸⪁((≮⫘↔1000001100001-≮⫘↔10111101110)⩨(≮⫘↔11001011100⨵⪆≮⫘↔1010110010011)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":22294,"operation_count":11,"complexity_ratio":2026.7272727272727,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1602,"base":2},"right_expr":{"type":"numeric_atoms","value":5355,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2032,"base":2},"right_expr":{"type":"numeric_atoms","value":5591,"base":2}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7038,"base":2},"right_expr":{"type":"numeric_atoms","value":1945,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4193,"base":2},"right_expr":{"type":"numeric_atoms","value":1518,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1628,"base":2},"right_expr":{"type":"numeric_atoms","value":5523,"base":2}}}}},"used_operators":["7j4O788W3g","P8v4zCKN1o","3ViojmjbAp","uFcxV4UQCh","mqXw5SEYmG","g55IO6H4Gj","14qkJME0vr","W4YGzv6Whe","2DlMacCsIx","rysDP5nf3Z","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-1101001100101000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1602","layer":4},{"info":"number node, value=5355","layer":4},{"info":"compute binary expreesion, left_input=1602, right_input=5355, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1602","layer":3},{"info":"number node, value=2032","layer":4},{"info":"number node, value=5591","layer":4},{"info":"compute binary expreesion, left_input=2032, right_input=5591, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=22239","layer":3},{"info":"compute binary expreesion, left_input=1602, right_input=22239, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-22242","layer":2},{"info":"compute unary expreesion, input=-22242, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":1},{"info":"number node, value=7038","layer":4},{"info":"number node, value=1945","layer":4},{"info":"compute binary expreesion, left_input=7038, right_input=1945, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8983","layer":3},{"info":"compute unary expreesion, input=8983, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-27028","layer":2},{"info":"number node, value=4193","layer":4},{"info":"number node, value=1518","layer":4},{"info":"compute binary expreesion, left_input=4193, right_input=1518, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2675","layer":3},{"info":"number node, value=1628","layer":4},{"info":"number node, value=5523","layer":4},{"info":"compute binary expreesion, left_input=1628, right_input=5523, 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=2675, right_input=160, 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=-27028, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-54056","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=-54056, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-54056","layer":0}],"base":2,"result_base":2,"text":"(∥⊫≮⫘↔11001000010⪛≮⫘↔1010011101011⨓(≮⫘↔11111110000⫸⊐≮⫘↔1010111010111))↺(((≮⫘↔1101101111110+≮⫘↔11110011001)⊦⊿)⨸⪁((≮⫘↔1000001100001-≮⫘↔10111101110)⩨(≮⫘↔11001011100⨵⪆≮⫘↔1010110010011)))=≮⫘↔-1101001100101000","reverse_text":"≮⫘↔-1101001100101000=(∥⊫≮⫘↔11001000010⪛≮⫘↔1010011101011⨓(≮⫘↔11111110000⫸⊐≮⫘↔1010111010111))↺(((≮⫘↔1101101111110+≮⫘↔11110011001)⊦⊿)⨸⪁((≮⫘↔1000001100001-≮⫘↔10111101110)⩨(≮⫘↔11001011100⨵⪆≮⫘↔1010110010011)))","cot":[{"info":"≮⫘↔11001000010⪛≮⫘↔1010011101011=≮⫘↔11001000010","layer":3},{"info":"≮⫘↔11111110000⫸⊐≮⫘↔1010111010111=≮⫘↔101011011011111","layer":3},{"info":"≮⫘↔11001000010⨓≮⫘↔101011011011111=≮⫘↔-101011011100010","layer":2},{"info":"∥⊫≮⫘↔-101011011100010=≮⫘↔-110111","layer":1},{"info":"≮⫘↔1101101111110+≮⫘↔11110011001=≮⫘↔10001100010111","layer":3},{"info":"≮⫘↔10001100010111⊦⊿=≮⫘↔-110100110010100","layer":2},{"info":"≮⫘↔1000001100001-≮⫘↔10111101110=≮⫘↔101001110011","layer":3},{"info":"≮⫘↔11001011100⨵⪆≮⫘↔1010110010011=≮⫘↔10100000","layer":3},{"info":"≮⫘↔101001110011⩨≮⫘↔10100000=≮⫘↔0","layer":2},{"info":"≮⫘↔-110100110010100⨸⪁≮⫘↔0=≮⫘↔-1101001100101000","layer":1},{"info":"≮⫘↔-110111↺≮⫘↔-1101001100101000=≮⫘↔-1101001100101000","layer":0}]}
{"id":168,"expression_no_base_symbol":"((⨰⫟⨤($1060$⩨$6276$))⨸⪁(($1550$∲⫓$3495$)⪐))⋳⪒($1447$↙$1344$↙$1205$≭$5405$)⪘⫢($2612$⩨$2688$⩨$6859$⪢$5378$)","expression":"((⨰⫟⨤(≮⫘↔10000100100⩨≮⫘↔1100010000100))⨸⪁((≮⫘↔11000001110∲⫓≮⫘↔110110100111)⪐))⋳⪒(≮⫘↔10110100111↙≮⫘↔10101000000↙≮⫘↔10010110101≭≮⫘↔1010100011101)⪘⫢(≮⫘↔101000110100⩨≮⫘↔101010000000⩨≮⫘↔1101011001011⪢≮⫘↔1010100000010)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15456,"operation_count":13,"complexity_ratio":1188.923076923077,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1060,"base":2},"right_expr":{"type":"numeric_atoms","value":6276,"base":2}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1550,"base":2},"right_expr":{"type":"numeric_atoms","value":3495,"base":2}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1447,"base":2},"right_expr":{"type":"numeric_atoms","value":1344,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1205,"base":2},"right_expr":{"type":"numeric_atoms","value":5405,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2612,"base":2},"right_expr":{"type":"numeric_atoms","value":2688,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6859,"base":2},"right_expr":{"type":"numeric_atoms","value":5378,"base":2}}}}},"used_operators":["12rbrZMWeM","g55IO6H4Gj","Tw270M8GLb","2DlMacCsIx","eH2TOUuTDT","i8ToyICDmI","oacrs7FA3X","yyfyN0ffXY","rxpJgHHUmx","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1060","layer":4},{"info":"number node, value=6276","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=6276, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-15","layer":3},{"info":"compute unary expreesion, input=-15, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1550","layer":4},{"info":"number node, value=3495","layer":4},{"info":"compute binary expreesion, left_input=1550, right_input=3495, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1447","layer":4},{"info":"number node, value=1344","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=1344, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4032","layer":3},{"info":"number node, value=1205","layer":4},{"info":"number node, value=5405","layer":4},{"info":"compute binary expreesion, left_input=1205, right_input=5405, 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=-4032, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4032","layer":2},{"info":"number node, value=2612","layer":4},{"info":"number node, value=2688","layer":4},{"info":"compute binary expreesion, left_input=2612, right_input=2688, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=6859","layer":4},{"info":"number node, value=5378","layer":4},{"info":"compute binary expreesion, left_input=6859, right_input=5378, 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=-3, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4032, 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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨰⫟⨤(≮⫘↔10000100100⩨≮⫘↔1100010000100))⨸⪁((≮⫘↔11000001110∲⫓≮⫘↔110110100111)⪐))⋳⪒(≮⫘↔10110100111↙≮⫘↔10101000000↙≮⫘↔10010110101≭≮⫘↔1010100011101)⪘⫢(≮⫘↔101000110100⩨≮⫘↔101010000000⩨≮⫘↔1101011001011⪢≮⫘↔1010100000010)=NaN","reverse_text":"NaN=((⨰⫟⨤(≮⫘↔10000100100⩨≮⫘↔1100010000100))⨸⪁((≮⫘↔11000001110∲⫓≮⫘↔110110100111)⪐))⋳⪒(≮⫘↔10110100111↙≮⫘↔10101000000↙≮⫘↔10010110101≭≮⫘↔1010100011101)⪘⫢(≮⫘↔101000110100⩨≮⫘↔101010000000⩨≮⫘↔1101011001011⪢≮⫘↔1010100000010)","cot":[{"info":"≮⫘↔10000100100⩨≮⫘↔1100010000100=≮⫘↔-1111","layer":3},{"info":"⨰⫟⨤≮⫘↔-1111=NaN","layer":2},{"info":"≮⫘↔11000001110∲⫓≮⫘↔110110100111=≮⫘↔0","layer":3},{"info":"≮⫘↔0⪐=≮⫘↔0","layer":2},{"info":"NaN⨸⪁≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔10110100111↙≮⫘↔10101000000=≮⫘↔-111111000000","layer":3},{"info":"≮⫘↔10010110101≭≮⫘↔1010100011101=NaN","layer":3},{"info":"≮⫘↔-111111000000↙NaN=≮⫘↔-111111000000","layer":2},{"info":"≮⫘↔101000110100⩨≮⫘↔101010000000=≮⫘↔-11","layer":3},{"info":"≮⫘↔1101011001011⪢≮⫘↔1010100000010=NaN","layer":3},{"info":"≮⫘↔-11⩨NaN=NaN","layer":2},{"info":"≮⫘↔-111111000000⪘⫢NaN=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":169,"expression_no_base_symbol":"(⫛⫱⨽((+⊝⨔$1500$)+⇶⊼($1781$≦≮≮)))⊦⊿","expression":"(⫛⫱⨽((+⊝⨔≮⫘↔10111011100)+⇶⊼(≮⫘↔11011110101≦≮≮)))⊦⊿","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":962,"operation_count":5,"complexity_ratio":192.4,"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":1500,"base":2}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1781,"base":2}}}}},"used_operators":["14qkJME0vr","DlLNRPXxWL","TpPTUOHfaN","DhbWaqg5eL","D4vGDi5EA2"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1500","layer":4},{"info":"compute unary expreesion, input=1500, 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=1781","layer":4},{"info":"compute unary expreesion, input=1781, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-5343","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-5343, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⫛⫱⨽((+⊝⨔≮⫘↔10111011100)+⇶⊼(≮⫘↔11011110101≦≮≮)))⊦⊿=NaN","reverse_text":"NaN=(⫛⫱⨽((+⊝⨔≮⫘↔10111011100)+⇶⊼(≮⫘↔11011110101≦≮≮)))⊦⊿","cot":[{"info":"+⊝⨔≮⫘↔10111011100=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔11011110101≦≮≮=≮⫘↔-1010011011111","layer":3},{"info":"≮⫘↔10111110010+⇶⊼≮⫘↔-1010011011111=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":170,"expression_no_base_symbol":"($3031$⨐⩸⫘$6136$)⨪↰⇹$1246$⪢$3037$⋓($4547$⪨≂$1054$/$7764$∑⇟⊟$1266$)⨎((⨵≀≌(⨈⫕$2077$))+(⋗⩬⋾(⨵≀≌$3294$)))","expression":"(≮⫘↔101111010111⨐⩸⫘≮⫘↔1011111111000)⨪↰⇹≮⫘↔10011011110⪢≮⫘↔101111011101⋓(≮⫘↔1000111000011⪨≂≮⫘↔10000011110/≮⫘↔1111001010100∑⇟⊟≮⫘↔10011110010)⨎((⨵≀≌(⨈⫕≮⫘↔100000011101))+(⋗⩬⋾(⨵≀≌≮⫘↔110011011110)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3479,"operation_count":13,"complexity_ratio":267.61538461538464,"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":3031,"base":2},"right_expr":{"type":"numeric_atoms","value":6136,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1246,"base":2},"right_expr":{"type":"numeric_atoms","value":3037,"base":2}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4547,"base":2},"right_expr":{"type":"numeric_atoms","value":1054,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7764,"base":2},"right_expr":{"type":"numeric_atoms","value":1266,"base":2}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2077,"base":2}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3294,"base":2}}}}},"used_operators":["rJVOvQCfKK","T2fj7uvVaJ","tmPS8pqC7x","fu6greOZ01","dWAJyo7jo9","XhwjNDsVaA","sdazOOVcIp","U7g4x0WXJJ","W4YGzv6Whe","srAu1WTS94","megm06wKyl","DpFCA1CohY"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rJVOvQCfKK","3ViojmjbAp","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔111010110000111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3031","layer":4},{"info":"number node, value=6136","layer":4},{"info":"compute binary expreesion, left_input=3031, right_input=6136, 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=1246","layer":4},{"info":"number node, value=3037","layer":4},{"info":"compute binary expreesion, left_input=1246, right_input=3037, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=4547","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=4547, right_input=1054, 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=7088","layer":3},{"info":"number node, value=7764","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=7764, right_input=1266, 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=7088, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"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":1},{"info":"number node, value=2077","layer":4},{"info":"compute unary expreesion, input=2077, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=441","layer":2},{"info":"number node, value=3294","layer":4},{"info":"compute unary expreesion, input=3294, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-9882","layer":3},{"info":"compute unary expreesion, input=-9882, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=29646","layer":2},{"info":"compute binary expreesion, left_input=441, right_input=29646, op_id = W4YGzv6Whe binary_op_definition= 'None', output=30087","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=30087, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=30087","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101111010111⨐⩸⫘≮⫘↔1011111111000)⨪↰⇹≮⫘↔10011011110⪢≮⫘↔101111011101⋓(≮⫘↔1000111000011⪨≂≮⫘↔10000011110/≮⫘↔1111001010100∑⇟⊟≮⫘↔10011110010)⨎((⨵≀≌(⨈⫕≮⫘↔100000011101))+(⋗⩬⋾(⨵≀≌≮⫘↔110011011110)))=≮⫘↔111010110000111","reverse_text":"≮⫘↔111010110000111=(≮⫘↔101111010111⨐⩸⫘≮⫘↔1011111111000)⨪↰⇹≮⫘↔10011011110⪢≮⫘↔101111011101⋓(≮⫘↔1000111000011⪨≂≮⫘↔10000011110/≮⫘↔1111001010100∑⇟⊟≮⫘↔10011110010)⨎((⨵≀≌(⨈⫕≮⫘↔100000011101))+(⋗⩬⋾(⨵≀≌≮⫘↔110011011110)))","cot":[{"info":"≮⫘↔101111010111⨐⩸⫘≮⫘↔1011111111000=NaN","layer":3},{"info":"≮⫘↔10011011110⪢≮⫘↔101111011101=NaN","layer":3},{"info":"NaN⨪↰⇹NaN=NaN","layer":2},{"info":"≮⫘↔1000111000011⪨≂≮⫘↔10000011110=≮⫘↔1101110110000","layer":3},{"info":"≮⫘↔1111001010100∑⇟⊟≮⫘↔10011110010=NaN","layer":3},{"info":"≮⫘↔1101110110000/NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⨈⫕≮⫘↔100000011101=≮⫘↔-10101","layer":3},{"info":"⨵≀≌≮⫘↔-10101=≮⫘↔110111001","layer":2},{"info":"⨵≀≌≮⫘↔110011011110=≮⫘↔-10011010011010","layer":3},{"info":"⋗⩬⋾≮⫘↔-10011010011010=≮⫘↔111001111001110","layer":2},{"info":"≮⫘↔110111001+≮⫘↔111001111001110=≮⫘↔111010110000111","layer":1},{"info":"NaN⨎≮⫘↔111010110000111=≮⫘↔111010110000111","layer":0}]}
{"id":171,"expression_no_base_symbol":"(($1284$⫩⊇)⊭∹↮)≎⊠⪸((⊄⩳↩$6885$)⫥∨⫟$4693$∑⇟⊟$5314$)⪄($3700$⪮%⊝$2046$↙$4004$⪢$7527$⨵⪆$3276$⪘⫢$1531$⋝⋈⪟$1314$∀⇚≩$1460$)","expression":"((≮⫘↔10100000100⫩⊇)⊭∹↮)≎⊠⪸((⊄⩳↩≮⫘↔1101011100101)⫥∨⫟≮⫘↔1001001010101∑⇟⊟≮⫘↔1010011000010)⪄(≮⫘↔111001110100⪮%⊝≮⫘↔11111111110↙≮⫘↔111110100100⪢≮⫘↔1110101100111⨵⪆≮⫘↔110011001100⪘⫢≮⫘↔10111111011⋝⋈⪟≮⫘↔10100100010∀⇚≩≮⫘↔10110110100)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17019,"operation_count":14,"complexity_ratio":1215.642857142857,"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":1284,"base":2}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":6885,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4693,"base":2},"right_expr":{"type":"numeric_atoms","value":5314,"base":2}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3700,"base":2},"right_expr":{"type":"numeric_atoms","value":2046,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4004,"base":2},"right_expr":{"type":"numeric_atoms","value":7527,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3276,"base":2},"right_expr":{"type":"numeric_atoms","value":1531,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1314,"base":2},"right_expr":{"type":"numeric_atoms","value":1460,"base":2}}}}},"used_operators":["SUmda5xLS4","bJkvcejdHO","xNBdhnnwKq","BjRHVeLaeN","KYD54nUTWz","8w2t5hMYqp","U7g4x0WXJJ","2DQ55sFlQl","yyfyN0ffXY","IWmyXbctLI","dWAJyo7jo9","2DDjHMKMc0","oacrs7FA3X","LRNGc0VcxI"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","X99M06cbEe"],"result":"≮⫘↔-1100111110101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1284","layer":4},{"info":"compute unary expreesion, input=1284, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1242","layer":3},{"info":"compute unary expreesion, input=-1242, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-1242","layer":2},{"info":"number node, value=6885","layer":4},{"info":"compute unary expreesion, input=6885, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-20655","layer":3},{"info":"number node, value=4693","layer":4},{"info":"number node, value=5314","layer":4},{"info":"compute binary expreesion, left_input=4693, right_input=5314, 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=-20655, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1242, 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=3700","layer":4},{"info":"number node, value=2046","layer":4},{"info":"compute binary expreesion, left_input=3700, right_input=2046, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7716","layer":3},{"info":"number node, value=4004","layer":4},{"info":"number node, value=7527","layer":4},{"info":"compute binary expreesion, left_input=4004, right_input=7527, 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=7716, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=3276","layer":4},{"info":"number node, value=1531","layer":4},{"info":"compute binary expreesion, left_input=3276, right_input=1531, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6428","layer":3},{"info":"number node, value=1314","layer":4},{"info":"number node, value=1460","layer":4},{"info":"compute binary expreesion, left_input=1314, right_input=1460, 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=6428, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=160, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-6645","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10100000100⫩⊇)⊭∹↮)≎⊠⪸((⊄⩳↩≮⫘↔1101011100101)⫥∨⫟≮⫘↔1001001010101∑⇟⊟≮⫘↔1010011000010)⪄(≮⫘↔111001110100⪮%⊝≮⫘↔11111111110↙≮⫘↔111110100100⪢≮⫘↔1110101100111⨵⪆≮⫘↔110011001100⪘⫢≮⫘↔10111111011⋝⋈⪟≮⫘↔10100100010∀⇚≩≮⫘↔10110110100)=≮⫘↔-1100111110101","reverse_text":"≮⫘↔-1100111110101=((≮⫘↔10100000100⫩⊇)⊭∹↮)≎⊠⪸((⊄⩳↩≮⫘↔1101011100101)⫥∨⫟≮⫘↔1001001010101∑⇟⊟≮⫘↔1010011000010)⪄(≮⫘↔111001110100⪮%⊝≮⫘↔11111111110↙≮⫘↔111110100100⪢≮⫘↔1110101100111⨵⪆≮⫘↔110011001100⪘⫢≮⫘↔10111111011⋝⋈⪟≮⫘↔10100100010∀⇚≩≮⫘↔10110110100)","cot":[{"info":"≮⫘↔10100000100⫩⊇=≮⫘↔-10011011010","layer":3},{"info":"≮⫘↔-10011011010⊭∹↮=≮⫘↔-10011011010","layer":2},{"info":"⊄⩳↩≮⫘↔1101011100101=≮⫘↔-101000010101111","layer":3},{"info":"≮⫘↔1001001010101∑⇟⊟≮⫘↔1010011000010=NaN","layer":3},{"info":"≮⫘↔-101000010101111⫥∨⫟NaN=NaN","layer":2},{"info":"≮⫘↔-10011011010≎⊠⪸NaN=≮⫘↔1000011","layer":1},{"info":"≮⫘↔111001110100⪮%⊝≮⫘↔11111111110=≮⫘↔1111000100100","layer":3},{"info":"≮⫘↔111110100100⪢≮⫘↔1110101100111=NaN","layer":3},{"info":"≮⫘↔1111000100100↙NaN=NaN","layer":2},{"info":"≮⫘↔110011001100⪘⫢≮⫘↔10111111011=≮⫘↔1100100011100","layer":3},{"info":"≮⫘↔10100100010∀⇚≩≮⫘↔10110110100=NaN","layer":3},{"info":"≮⫘↔1100100011100⋝⋈⪟NaN=NaN","layer":2},{"info":"NaN⨵⪆NaN=≮⫘↔10100000","layer":1},{"info":"≮⫘↔1000011⪄≮⫘↔10100000=≮⫘↔-1100111110101","layer":0}]}
{"id":172,"expression_no_base_symbol":"(($6214$-$2133$)⨎($2672$⨐⩸⫘$2073$))≎⊠⪸$1724$⇷$1741$⋝⋈⪟($3236$⩚⊴⇥$1336$)⪄(↯⪼(($2594$⨳⩥⨓$2699$)∑⇟⊟($1177$⨎$4982$)))","expression":"((≮⫘↔1100001000110-≮⫘↔100001010101)⨎(≮⫘↔101001110000⨐⩸⫘≮⫘↔100000011001))≎⊠⪸≮⫘↔11010111100⇷≮⫘↔11011001101⋝⋈⪟(≮⫘↔110010100100⩚⊴⇥≮⫘↔10100111000)⪄(↯⪼((≮⫘↔101000100010⨳⩥⨓≮⫘↔101010001011)∑⇟⊟(≮⫘↔10010011001⨎≮⫘↔1001101110110)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":24221,"operation_count":12,"complexity_ratio":2018.4166666666667,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6214,"base":2},"right_expr":{"type":"numeric_atoms","value":2133,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2672,"base":2},"right_expr":{"type":"numeric_atoms","value":2073,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1724,"base":2},"right_expr":{"type":"numeric_atoms","value":1741,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3236,"base":2},"right_expr":{"type":"numeric_atoms","value":1336,"base":2}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2594,"base":2},"right_expr":{"type":"numeric_atoms","value":2699,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1177,"base":2},"right_expr":{"type":"numeric_atoms","value":4982,"base":2}}}}},"used_operators":["SUmda5xLS4","bJkvcejdHO","rJVOvQCfKK","rysDP5nf3Z","fu6greOZ01","2DDjHMKMc0","mp7IySMOzn","NTOWxs364D","8jW3W4yZS5","U7g4x0WXJJ","nCS4ZIUYfx"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z"],"result":"≮⫘↔111110001011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6214","layer":4},{"info":"number node, value=2133","layer":4},{"info":"compute binary expreesion, left_input=6214, right_input=2133, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4081","layer":3},{"info":"number node, value=2672","layer":4},{"info":"number node, value=2073","layer":4},{"info":"compute binary expreesion, left_input=2672, right_input=2073, 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=4081, 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=1724","layer":4},{"info":"number node, value=1741","layer":4},{"info":"compute binary expreesion, left_input=1724, right_input=1741, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3482","layer":3},{"info":"number node, value=3236","layer":4},{"info":"number node, value=1336","layer":4},{"info":"compute binary expreesion, left_input=3236, right_input=1336, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4693","layer":3},{"info":"compute binary expreesion, left_input=3482, right_input=-4693, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3482","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3482, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=2594","layer":4},{"info":"number node, value=2699","layer":4},{"info":"compute binary expreesion, left_input=2594, right_input=2699, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=105","layer":3},{"info":"number node, value=1177","layer":4},{"info":"number node, value=4982","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=4982, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4982","layer":3},{"info":"compute binary expreesion, left_input=105, right_input=4982, 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 = 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1100001000110-≮⫘↔100001010101)⨎(≮⫘↔101001110000⨐⩸⫘≮⫘↔100000011001))≎⊠⪸≮⫘↔11010111100⇷≮⫘↔11011001101⋝⋈⪟(≮⫘↔110010100100⩚⊴⇥≮⫘↔10100111000)⪄(↯⪼((≮⫘↔101000100010⨳⩥⨓≮⫘↔101010001011)∑⇟⊟(≮⫘↔10010011001⨎≮⫘↔1001101110110)))=≮⫘↔111110001011","reverse_text":"≮⫘↔111110001011=((≮⫘↔1100001000110-≮⫘↔100001010101)⨎(≮⫘↔101001110000⨐⩸⫘≮⫘↔100000011001))≎⊠⪸≮⫘↔11010111100⇷≮⫘↔11011001101⋝⋈⪟(≮⫘↔110010100100⩚⊴⇥≮⫘↔10100111000)⪄(↯⪼((≮⫘↔101000100010⨳⩥⨓≮⫘↔101010001011)∑⇟⊟(≮⫘↔10010011001⨎≮⫘↔1001101110110)))","cot":[{"info":"≮⫘↔1100001000110-≮⫘↔100001010101=≮⫘↔111111110001","layer":3},{"info":"≮⫘↔101001110000⨐⩸⫘≮⫘↔100000011001=NaN","layer":3},{"info":"≮⫘↔111111110001⨎NaN=NaN","layer":2},{"info":"≮⫘↔11010111100⇷≮⫘↔11011001101=≮⫘↔110110011010","layer":3},{"info":"≮⫘↔110010100100⩚⊴⇥≮⫘↔10100111000=≮⫘↔-1001001010101","layer":3},{"info":"≮⫘↔110110011010⋝⋈⪟≮⫘↔-1001001010101=≮⫘↔110110011010","layer":2},{"info":"NaN≎⊠⪸≮⫘↔110110011010=NaN","layer":1},{"info":"≮⫘↔101000100010⨳⩥⨓≮⫘↔101010001011=≮⫘↔1101001","layer":3},{"info":"≮⫘↔10010011001⨎≮⫘↔1001101110110=≮⫘↔1001101110110","layer":3},{"info":"≮⫘↔1101001∑⇟⊟≮⫘↔1001101110110=NaN","layer":2},{"info":"↯⪼NaN=≮⫘↔-10101","layer":1},{"info":"NaN⪄≮⫘↔-10101=≮⫘↔111110001011","layer":0}]}
{"id":173,"expression_no_base_symbol":"((↣≠⋷$7088$)⫸⊐($1022$⩨$6516$))⇷(($1137$/$1171$)*$3593$+⇶⊼$2256$)⫩⊇","expression":"((↣≠⋷≮⫘↔1101110110000)⫸⊐(≮⫘↔1111111110⩨≮⫘↔1100101110100))⇷((≮⫘↔10001110001/≮⫘↔10010010011)*≮⫘↔111000001001+⇶⊼≮⫘↔100011010000)⫩⊇","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":28,"operation_count":8,"complexity_ratio":3.5,"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":7088,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1022,"base":2},"right_expr":{"type":"numeric_atoms","value":6516,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1137,"base":2},"right_expr":{"type":"numeric_atoms","value":1171,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3593,"base":2},"right_expr":{"type":"numeric_atoms","value":2256,"base":2}}}}},"used_operators":["BjRHVeLaeN","mp7IySMOzn","mqXw5SEYmG","Asc51vEJeQ","2DlMacCsIx","9HNa5Wba9A","XhwjNDsVaA","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=7088","layer":4},{"info":"compute unary expreesion, input=7088, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1022","layer":4},{"info":"number node, value=6516","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=6516, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-18","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-18, 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=1137","layer":4},{"info":"number node, value=1171","layer":4},{"info":"compute binary expreesion, left_input=1137, right_input=1171, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=3593","layer":4},{"info":"number node, value=2256","layer":4},{"info":"compute binary expreesion, left_input=3593, right_input=2256, 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=0, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"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":1},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((↣≠⋷≮⫘↔1101110110000)⫸⊐(≮⫘↔1111111110⩨≮⫘↔1100101110100))⇷((≮⫘↔10001110001/≮⫘↔10010010011)*≮⫘↔111000001001+⇶⊼≮⫘↔100011010000)⫩⊇=NaN","reverse_text":"NaN=((↣≠⋷≮⫘↔1101110110000)⫸⊐(≮⫘↔1111111110⩨≮⫘↔1100101110100))⇷((≮⫘↔10001110001/≮⫘↔10010010011)*≮⫘↔111000001001+⇶⊼≮⫘↔100011010000)⫩⊇","cot":[{"info":"↣≠⋷≮⫘↔1101110110000=NaN","layer":3},{"info":"≮⫘↔1111111110⩨≮⫘↔1100101110100=≮⫘↔-10010","layer":3},{"info":"NaN⫸⊐≮⫘↔-10010=NaN","layer":2},{"info":"≮⫘↔10001110001/≮⫘↔10010010011=≮⫘↔0","layer":3},{"info":"≮⫘↔111000001001+⇶⊼≮⫘↔100011010000=NaN","layer":3},{"info":"≮⫘↔0*NaN=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":174,"expression_no_base_symbol":"($3036$/$3325$)⇷($6163$⩨$2416$)⋝⋈⪟((↣≠⋷$5875$)↙$6200$↬$2263$)≭(-(⪲⇎$6303$)⪢($9359$⊉≛↸$1109$))","expression":"(≮⫘↔101111011100/≮⫘↔110011111101)⇷(≮⫘↔1100000010011⩨≮⫘↔100101110000)⋝⋈⪟((↣≠⋷≮⫘↔1011011110011)↙≮⫘↔1100000111000↬≮⫘↔100011010111)≭(-(⪲⇎≮⫘↔1100010011111)⪢(≮⫘↔10010010001111⊉≛↸≮⫘↔10001010101))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":18744,"operation_count":12,"complexity_ratio":1562.0,"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":3036,"base":2},"right_expr":{"type":"numeric_atoms","value":3325,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6163,"base":2},"right_expr":{"type":"numeric_atoms","value":2416,"base":2}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5875,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6200,"base":2},"right_expr":{"type":"numeric_atoms","value":2263,"base":2}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":6303,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":9359,"base":2},"right_expr":{"type":"numeric_atoms","value":1109,"base":2}}}}},"used_operators":["rxpJgHHUmx","2DDjHMKMc0","mp7IySMOzn","XhwjNDsVaA","2DlMacCsIx","yyfyN0ffXY","Asc51vEJeQ","B5M0gjZbta","t8gj7n24qd","dWAJyo7jo9","XPYlsWDdGa","DZ8iAZOCBD"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3036","layer":4},{"info":"number node, value=3325","layer":4},{"info":"compute binary expreesion, left_input=3036, right_input=3325, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=6163","layer":4},{"info":"number node, value=2416","layer":4},{"info":"compute binary expreesion, left_input=6163, right_input=2416, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"number node, value=5875","layer":4},{"info":"compute unary expreesion, input=5875, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=6200","layer":4},{"info":"number node, value=2263","layer":4},{"info":"compute binary expreesion, left_input=6200, right_input=2263, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=6303","layer":4},{"info":"compute unary expreesion, input=6303, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=12606","layer":3},{"info":"number node, value=9359","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=9359, right_input=1109, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=18718","layer":3},{"info":"compute binary expreesion, left_input=12606, right_input=18718, 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":0}],"base":2,"result_base":2,"text":"(≮⫘↔101111011100/≮⫘↔110011111101)⇷(≮⫘↔1100000010011⩨≮⫘↔100101110000)⋝⋈⪟((↣≠⋷≮⫘↔1011011110011)↙≮⫘↔1100000111000↬≮⫘↔100011010111)≭(-(⪲⇎≮⫘↔1100010011111)⪢(≮⫘↔10010010001111⊉≛↸≮⫘↔10001010101))=NaN","reverse_text":"NaN=(≮⫘↔101111011100/≮⫘↔110011111101)⇷(≮⫘↔1100000010011⩨≮⫘↔100101110000)⋝⋈⪟((↣≠⋷≮⫘↔1011011110011)↙≮⫘↔1100000111000↬≮⫘↔100011010111)≭(-(⪲⇎≮⫘↔1100010011111)⪢(≮⫘↔10010010001111⊉≛↸≮⫘↔10001010101))","cot":[{"info":"≮⫘↔101111011100/≮⫘↔110011111101=≮⫘↔0","layer":3},{"info":"≮⫘↔1100000010011⩨≮⫘↔100101110000=≮⫘↔0","layer":3},{"info":"≮⫘↔0⇷≮⫘↔0=≮⫘↔0","layer":2},{"info":"↣≠⋷≮⫘↔1011011110011=NaN","layer":3},{"info":"≮⫘↔1100000111000↬≮⫘↔100011010111=NaN","layer":3},{"info":"NaN↙NaN=NaN","layer":2},{"info":"≮⫘↔0⋝⋈⪟NaN=NaN","layer":1},{"info":"⪲⇎≮⫘↔1100010011111=≮⫘↔11000100111110","layer":3},{"info":"≮⫘↔10010010001111⊉≛↸≮⫘↔10001010101=≮⫘↔100100100011110","layer":3},{"info":"≮⫘↔11000100111110⪢≮⫘↔100100100011110=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":175,"expression_no_base_symbol":"($1742$⋥≓≎$5317$)∼($1801$⩚⊴⇥$6624$)⋝⋈⪟(⇁⨣⪵$6450$)∼$1828$⪢$5123$⪄(-$1082$⋝⋈⪟$8769$⨽$1946$⨰$1181$)","expression":"(≮⫘↔11011001110⋥≓≎≮⫘↔1010011000101)∼(≮⫘↔11100001001⩚⊴⇥≮⫘↔1100111100000)⋝⋈⪟(⇁⨣⪵≮⫘↔1100100110010)∼≮⫘↔11100100100⪢≮⫘↔1010000000011⪄(-≮⫘↔10000111010⋝⋈⪟≮⫘↔10001001000001⨽≮⫘↔11110011010⨰≮⫘↔10010011101)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6437,"operation_count":12,"complexity_ratio":536.4166666666666,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1742,"base":2},"right_expr":{"type":"numeric_atoms","value":5317,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1801,"base":2},"right_expr":{"type":"numeric_atoms","value":6624,"base":2}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6450,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1828,"base":2},"right_expr":{"type":"numeric_atoms","value":5123,"base":2}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1082,"base":2},"right_expr":{"type":"numeric_atoms","value":8769,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1946,"base":2},"right_expr":{"type":"numeric_atoms","value":1181,"base":2}}}}},"used_operators":["SUmda5xLS4","2DDjHMKMc0","DyGG3AbaNP","Qy55tPpLXF","NTOWxs364D","inkyxCbjAn","dWAJyo7jo9","t8gj7n24qd","8HhzD0ZcuI","eewbuw0ToL"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔111110001011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1742","layer":4},{"info":"number node, value=5317","layer":4},{"info":"compute binary expreesion, left_input=1742, right_input=5317, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8925","layer":3},{"info":"number node, value=1801","layer":4},{"info":"number node, value=6624","layer":4},{"info":"compute binary expreesion, left_input=1801, right_input=6624, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8546","layer":3},{"info":"compute binary expreesion, left_input=8925, right_input=-8546, 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=6450","layer":4},{"info":"compute unary expreesion, input=6450, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1828","layer":4},{"info":"number node, value=5123","layer":4},{"info":"compute binary expreesion, left_input=1828, right_input=5123, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1082","layer":4},{"info":"number node, value=8769","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=8769, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1082","layer":3},{"info":"number node, value=1946","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=1946, right_input=1181, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=775","layer":3},{"info":"compute binary expreesion, left_input=1082, right_input=775, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3513183","layer":2},{"info":"compute unary expreesion, input=-3513183, op_id = t8gj7n24qd, unary_op_definition = 'None', output=3513183","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3513183, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11011001110⋥≓≎≮⫘↔1010011000101)∼(≮⫘↔11100001001⩚⊴⇥≮⫘↔1100111100000)⋝⋈⪟(⇁⨣⪵≮⫘↔1100100110010)∼≮⫘↔11100100100⪢≮⫘↔1010000000011⪄(-≮⫘↔10000111010⋝⋈⪟≮⫘↔10001001000001⨽≮⫘↔11110011010⨰≮⫘↔10010011101)=≮⫘↔111110001011","reverse_text":"≮⫘↔111110001011=(≮⫘↔11011001110⋥≓≎≮⫘↔1010011000101)∼(≮⫘↔11100001001⩚⊴⇥≮⫘↔1100111100000)⋝⋈⪟(⇁⨣⪵≮⫘↔1100100110010)∼≮⫘↔11100100100⪢≮⫘↔1010000000011⪄(-≮⫘↔10000111010⋝⋈⪟≮⫘↔10001001000001⨽≮⫘↔11110011010⨰≮⫘↔10010011101)","cot":[{"info":"≮⫘↔11011001110⋥≓≎≮⫘↔1010011000101=≮⫘↔10001011011101","layer":3},{"info":"≮⫘↔11100001001⩚⊴⇥≮⫘↔1100111100000=≮⫘↔-10000101100010","layer":3},{"info":"≮⫘↔10001011011101∼≮⫘↔-10000101100010=NaN","layer":2},{"info":"⇁⨣⪵≮⫘↔1100100110010=NaN","layer":3},{"info":"≮⫘↔11100100100⪢≮⫘↔1010000000011=NaN","layer":3},{"info":"NaN∼NaN=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"≮⫘↔10000111010⋝⋈⪟≮⫘↔10001001000001=≮⫘↔10000111010","layer":3},{"info":"≮⫘↔11110011010⨰≮⫘↔10010011101=≮⫘↔1100000111","layer":3},{"info":"≮⫘↔10000111010⨽≮⫘↔1100000111=≮⫘↔-1101011001101101011111","layer":2},{"info":"-≮⫘↔-1101011001101101011111=≮⫘↔1101011001101101011111","layer":1},{"info":"NaN⪄≮⫘↔1101011001101101011111=≮⫘↔111110001011","layer":0}]}
{"id":176,"expression_no_base_symbol":"↽≂((-$1684$⩨$8702$)⨵⪆(⪲⇎$4714$)⊉≛↸$1533$∀⇚≩$1858$)","expression":"↽≂((-≮⫘↔11010010100⩨≮⫘↔10000111111110)⨵⪆(⪲⇎≮⫘↔1001001101010)⊉≛↸≮⫘↔10111111101∀⇚≩≮⫘↔11101000010)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":10748,"operation_count":7,"complexity_ratio":1535.4285714285713,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1684,"base":2},"right_expr":{"type":"numeric_atoms","value":8702,"base":2}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4714,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1533,"base":2},"right_expr":{"type":"numeric_atoms","value":1858,"base":2}}}}},"used_operators":["u6S6b8DprG","2DQ55sFlQl","t8gj7n24qd","2DlMacCsIx","DZ8iAZOCBD","XPYlsWDdGa","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"≮⫘↔-101000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1684","layer":4},{"info":"number node, value=8702","layer":4},{"info":"compute binary expreesion, left_input=1684, right_input=8702, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-15","layer":3},{"info":"compute unary expreesion, input=-15, op_id = t8gj7n24qd, unary_op_definition = 'None', output=15","layer":2},{"info":"number node, value=4714","layer":4},{"info":"compute unary expreesion, input=4714, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=9428","layer":3},{"info":"number node, value=1533","layer":4},{"info":"number node, value=1858","layer":4},{"info":"compute binary expreesion, left_input=1533, right_input=1858, 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=9428, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=18856","layer":2},{"info":"compute binary expreesion, left_input=15, right_input=18856, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-320","layer":0}],"base":2,"result_base":2,"text":"↽≂((-≮⫘↔11010010100⩨≮⫘↔10000111111110)⨵⪆(⪲⇎≮⫘↔1001001101010)⊉≛↸≮⫘↔10111111101∀⇚≩≮⫘↔11101000010)=≮⫘↔-101000000","reverse_text":"≮⫘↔-101000000=↽≂((-≮⫘↔11010010100⩨≮⫘↔10000111111110)⨵⪆(⪲⇎≮⫘↔1001001101010)⊉≛↸≮⫘↔10111111101∀⇚≩≮⫘↔11101000010)","cot":[{"info":"≮⫘↔11010010100⩨≮⫘↔10000111111110=≮⫘↔-1111","layer":3},{"info":"-≮⫘↔-1111=≮⫘↔1111","layer":2},{"info":"⪲⇎≮⫘↔1001001101010=≮⫘↔10010011010100","layer":3},{"info":"≮⫘↔10111111101∀⇚≩≮⫘↔11101000010=NaN","layer":3},{"info":"≮⫘↔10010011010100⊉≛↸NaN=≮⫘↔100100110101000","layer":2},{"info":"≮⫘↔1111⨵⪆≮⫘↔100100110101000=≮⫘↔10100000","layer":1},{"info":"↽≂≮⫘↔10100000=≮⫘↔-101000000","layer":0}]}
{"id":177,"expression_no_base_symbol":"($2893$⋷$1448$)⩷∴(≉$1848$)+⇶⊼(⊄⩳↩$2254$⪛$1353$)-($3989$⪢$1915$⪨≂$1030$⨟⋌⩍$7058$)⊭↱(⪝⪂⫅$4352$)⩷∴($2751$⇼⇔∾$1376$)","expression":"(≮⫘↔101101001101⋷≮⫘↔10110101000)⩷∴(≉≮⫘↔11100111000)+⇶⊼(⊄⩳↩≮⫘↔100011001110⪛≮⫘↔10101001001)-(≮⫘↔111110010101⪢≮⫘↔11101111011⪨≂≮⫘↔10000000110⨟⋌⩍≮⫘↔1101110010010)⊭↱(⪝⪂⫅≮⫘↔1000100000000)⩷∴(≮⫘↔101010111111⇼⇔∾≮⫘↔10101100000)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10090,"operation_count":14,"complexity_ratio":720.7142857142857,"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":2893,"base":2},"right_expr":{"type":"numeric_atoms","value":1448,"base":2}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1848,"base":2}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2254,"base":2},"right_expr":{"type":"numeric_atoms","value":1353,"base":2}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3989,"base":2},"right_expr":{"type":"numeric_atoms","value":1915,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1030,"base":2},"right_expr":{"type":"numeric_atoms","value":7058,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4352,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2751,"base":2},"right_expr":{"type":"numeric_atoms","value":1376,"base":2}}}}},"used_operators":["rysDP5nf3Z","TpPTUOHfaN","9FxExcQeMw","23Mk6UjR3U","e1ybzncUwg","8w2t5hMYqp","uFcxV4UQCh","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","rGHVDoGpnC","XTarYq4gQB","tifHPKVTfV"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","Tcnh7f0tEr","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2893","layer":4},{"info":"number node, value=1448","layer":4},{"info":"compute binary expreesion, left_input=2893, right_input=1448, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3","layer":3},{"info":"number node, value=1848","layer":4},{"info":"compute unary expreesion, input=1848, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2379","layer":3},{"info":"compute binary expreesion, left_input=3, right_input=2379, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4784","layer":2},{"info":"number node, value=2254","layer":4},{"info":"number node, value=1353","layer":4},{"info":"compute binary expreesion, left_input=2254, right_input=1353, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=901","layer":3},{"info":"compute unary expreesion, input=901, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-2703","layer":2},{"info":"compute binary expreesion, left_input=-4784, right_input=-2703, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=3989","layer":4},{"info":"number node, value=1915","layer":4},{"info":"compute binary expreesion, left_input=3989, right_input=1915, 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=1030","layer":4},{"info":"number node, value=7058","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=7058, 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 = 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=4352","layer":4},{"info":"compute unary expreesion, input=4352, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-639744","layer":3},{"info":"number node, value=2751","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=2751, right_input=1376, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1375","layer":3},{"info":"compute binary expreesion, left_input=-639744, right_input=-1375, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1276770","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1276770, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101101001101⋷≮⫘↔10110101000)⩷∴(≉≮⫘↔11100111000)+⇶⊼(⊄⩳↩≮⫘↔100011001110⪛≮⫘↔10101001001)-(≮⫘↔111110010101⪢≮⫘↔11101111011⪨≂≮⫘↔10000000110⨟⋌⩍≮⫘↔1101110010010)⊭↱(⪝⪂⫅≮⫘↔1000100000000)⩷∴(≮⫘↔101010111111⇼⇔∾≮⫘↔10101100000)=NaN","reverse_text":"NaN=(≮⫘↔101101001101⋷≮⫘↔10110101000)⩷∴(≉≮⫘↔11100111000)+⇶⊼(⊄⩳↩≮⫘↔100011001110⪛≮⫘↔10101001001)-(≮⫘↔111110010101⪢≮⫘↔11101111011⪨≂≮⫘↔10000000110⨟⋌⩍≮⫘↔1101110010010)⊭↱(⪝⪂⫅≮⫘↔1000100000000)⩷∴(≮⫘↔101010111111⇼⇔∾≮⫘↔10101100000)","cot":[{"info":"≮⫘↔101101001101⋷≮⫘↔10110101000=≮⫘↔11","layer":3},{"info":"≉≮⫘↔11100111000=≮⫘↔100101001011","layer":3},{"info":"≮⫘↔11⩷∴≮⫘↔100101001011=≮⫘↔-1001010110000","layer":2},{"info":"≮⫘↔100011001110⪛≮⫘↔10101001001=≮⫘↔1110000101","layer":3},{"info":"⊄⩳↩≮⫘↔1110000101=≮⫘↔-101010001111","layer":2},{"info":"≮⫘↔-1001010110000+⇶⊼≮⫘↔-101010001111=NaN","layer":1},{"info":"≮⫘↔111110010101⪢≮⫘↔11101111011=NaN","layer":3},{"info":"≮⫘↔10000000110⨟⋌⩍≮⫘↔1101110010010=NaN","layer":3},{"info":"NaN⪨≂NaN=NaN","layer":2},{"info":"⪝⪂⫅≮⫘↔1000100000000=≮⫘↔-10011100001100000000","layer":3},{"info":"≮⫘↔101010111111⇼⇔∾≮⫘↔10101100000=≮⫘↔-10101011111","layer":3},{"info":"≮⫘↔-10011100001100000000⩷∴≮⫘↔-10101011111=≮⫘↔-100110111101101100010","layer":2},{"info":"NaN⊭↱≮⫘↔-100110111101101100010=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":178,"expression_no_base_symbol":"(((≦∁$2344$)⊠≄⫣)⋥≓≎(($1482$⋷$5621$)∸))⊘","expression":"(((≦∁≮⫘↔100100101000)⊠≄⫣)⋥≓≎((≮⫘↔10111001010⋷≮⫘↔1010111110101)∸))⊘","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":207,"operation_count":6,"complexity_ratio":34.5,"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":2344,"base":2}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1482,"base":2},"right_expr":{"type":"numeric_atoms","value":5621,"base":2}}}}},"used_operators":["gu96TGCTMs","Qy55tPpLXF","DIvbN7qnHd","9ICcGScMcE","o20kRiQErp","23Mk6UjR3U"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2344","layer":4},{"info":"compute unary expreesion, input=2344, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2344","layer":3},{"info":"compute unary expreesion, input=2344, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=1482","layer":4},{"info":"number node, value=5621","layer":4},{"info":"compute binary expreesion, left_input=1482, right_input=5621, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9760","layer":3},{"info":"compute unary expreesion, input=9760, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=177, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=387","layer":1},{"info":"compute unary expreesion, input=387, 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":0}],"base":2,"result_base":2,"text":"(((≦∁≮⫘↔100100101000)⊠≄⫣)⋥≓≎((≮⫘↔10111001010⋷≮⫘↔1010111110101)∸))⊘=≮⫘↔0","reverse_text":"≮⫘↔0=(((≦∁≮⫘↔100100101000)⊠≄⫣)⋥≓≎((≮⫘↔10111001010⋷≮⫘↔1010111110101)∸))⊘","cot":[{"info":"≦∁≮⫘↔100100101000=≮⫘↔100100101000","layer":3},{"info":"≮⫘↔100100101000⊠≄⫣=≮⫘↔0","layer":2},{"info":"≮⫘↔10111001010⋷≮⫘↔1010111110101=≮⫘↔10011000100000","layer":3},{"info":"≮⫘↔10011000100000∸=≮⫘↔10110001","layer":2},{"info":"≮⫘↔0⋥≓≎≮⫘↔10110001=≮⫘↔110000011","layer":1},{"info":"≮⫘↔110000011⊘=≮⫘↔0","layer":0}]}
{"id":179,"expression_no_base_symbol":"(($1733$⫸⊐$6883$⩨$1158$⪛$2170$)⩚⊴⇥($1160$⨰$7571$≎⊠⪸($3403$⨐⩸⫘$3743$)))∑⇟⊟(↔(($4999$⋷$7711$)∀⇚≩($1669$*$2102$)))","expression":"((≮⫘↔11011000101⫸⊐≮⫘↔1101011100011⩨≮⫘↔10010000110⪛≮⫘↔100001111010)⩚⊴⇥(≮⫘↔10010001000⨰≮⫘↔1110110010011≎⊠⪸(≮⫘↔110101001011⨐⩸⫘≮⫘↔111010011111)))∑⇟⊟(↔((≮⫘↔1001110000111⋷≮⫘↔1111000011111)∀⇚≩(≮⫘↔11010000101*≮⫘↔100000110110)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":92761,"operation_count":12,"complexity_ratio":7730.083333333333,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1733,"base":2},"right_expr":{"type":"numeric_atoms","value":6883,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1158,"base":2},"right_expr":{"type":"numeric_atoms","value":2170,"base":2}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1160,"base":2},"right_expr":{"type":"numeric_atoms","value":7571,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3403,"base":2},"right_expr":{"type":"numeric_atoms","value":3743,"base":2}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4999,"base":2},"right_expr":{"type":"numeric_atoms","value":7711,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1669,"base":2},"right_expr":{"type":"numeric_atoms","value":2102,"base":2}}}}},"used_operators":["U7g4x0WXJJ","NTOWxs364D","2DlMacCsIx","mqXw5SEYmG","uFcxV4UQCh","bJkvcejdHO","eewbuw0ToL","fu6greOZ01","ruOEQAzv1W","LRNGc0VcxI","23Mk6UjR3U","9HNa5Wba9A"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1733","layer":4},{"info":"number node, value=6883","layer":4},{"info":"compute binary expreesion, left_input=1733, right_input=6883, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=27407","layer":3},{"info":"number node, value=1158","layer":4},{"info":"number node, value=2170","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=2170, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1158","layer":3},{"info":"compute binary expreesion, left_input=27407, right_input=1158, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"number node, value=1160","layer":4},{"info":"number node, value=7571","layer":4},{"info":"compute binary expreesion, left_input=1160, right_input=7571, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-6401","layer":3},{"info":"number node, value=3403","layer":4},{"info":"number node, value=3743","layer":4},{"info":"compute binary expreesion, left_input=3403, right_input=3743, 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=-6401, 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=0, right_input=67, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-188","layer":1},{"info":"number node, value=4999","layer":4},{"info":"number node, value=7711","layer":4},{"info":"compute binary expreesion, left_input=4999, right_input=7711, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=10423","layer":3},{"info":"number node, value=1669","layer":4},{"info":"number node, value=2102","layer":4},{"info":"compute binary expreesion, left_input=1669, right_input=2102, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3508238","layer":3},{"info":"compute binary expreesion, left_input=10423, right_input=3508238, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=-188, right_input=-134, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11011000101⫸⊐≮⫘↔1101011100011⩨≮⫘↔10010000110⪛≮⫘↔100001111010)⩚⊴⇥(≮⫘↔10010001000⨰≮⫘↔1110110010011≎⊠⪸(≮⫘↔110101001011⨐⩸⫘≮⫘↔111010011111)))∑⇟⊟(↔((≮⫘↔1001110000111⋷≮⫘↔1111000011111)∀⇚≩(≮⫘↔11010000101*≮⫘↔100000110110)))=NaN","reverse_text":"NaN=((≮⫘↔11011000101⫸⊐≮⫘↔1101011100011⩨≮⫘↔10010000110⪛≮⫘↔100001111010)⩚⊴⇥(≮⫘↔10010001000⨰≮⫘↔1110110010011≎⊠⪸(≮⫘↔110101001011⨐⩸⫘≮⫘↔111010011111)))∑⇟⊟(↔((≮⫘↔1001110000111⋷≮⫘↔1111000011111)∀⇚≩(≮⫘↔11010000101*≮⫘↔100000110110)))","cot":[{"info":"≮⫘↔11011000101⫸⊐≮⫘↔1101011100011=≮⫘↔110101100001111","layer":3},{"info":"≮⫘↔10010000110⪛≮⫘↔100001111010=≮⫘↔10010000110","layer":3},{"info":"≮⫘↔110101100001111⩨≮⫘↔10010000110=≮⫘↔0","layer":2},{"info":"≮⫘↔10010001000⨰≮⫘↔1110110010011=≮⫘↔-1100100000001","layer":3},{"info":"≮⫘↔110101001011⨐⩸⫘≮⫘↔111010011111=NaN","layer":3},{"info":"≮⫘↔-1100100000001≎⊠⪸NaN=≮⫘↔1000011","layer":2},{"info":"≮⫘↔0⩚⊴⇥≮⫘↔1000011=≮⫘↔-10111100","layer":1},{"info":"≮⫘↔1001110000111⋷≮⫘↔1111000011111=≮⫘↔10100010110111","layer":3},{"info":"≮⫘↔11010000101*≮⫘↔100000110110=≮⫘↔1101011000100000001110","layer":3},{"info":"≮⫘↔10100010110111∀⇚≩≮⫘↔1101011000100000001110=NaN","layer":2},{"info":"↔NaN=≮⫘↔-10000110","layer":1},{"info":"≮⫘↔-10111100∑⇟⊟≮⫘↔-10000110=NaN","layer":0}]}
{"id":180,"expression_no_base_symbol":"(($1528$⨪↰⇹$5818$)⪮%⊝($5322$⨐⩸⫘$5318$)⫡⨏($1032$≎⊠⪸$1232$≣⋋))⋥≓≎($5438$⇼⇔∾$1195$⊭↱($2204$-$4943$))⨽(⫛⫱⨽($3877$/$1186$))","expression":"((≮⫘↔10111111000⨪↰⇹≮⫘↔1011010111010)⪮%⊝(≮⫘↔1010011001010⨐⩸⫘≮⫘↔1010011000110)⫡⨏(≮⫘↔10000001000≎⊠⪸≮⫘↔10011010000≣⋋))⋥≓≎(≮⫘↔1010100111110⇼⇔∾≮⫘↔10010101011⊭↱(≮⫘↔100010011100-≮⫘↔1001101001111))⨽(⫛⫱⨽(≮⫘↔111100100101/≮⫘↔10010100010))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6279,"operation_count":13,"complexity_ratio":483.0,"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":1528,"base":2},"right_expr":{"type":"numeric_atoms","value":5818,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5322,"base":2},"right_expr":{"type":"numeric_atoms","value":5318,"base":2}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1032,"base":2},"right_expr":{"type":"numeric_atoms","value":1232,"base":2}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5438,"base":2},"right_expr":{"type":"numeric_atoms","value":1195,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2204,"base":2},"right_expr":{"type":"numeric_atoms","value":4943,"base":2}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3877,"base":2},"right_expr":{"type":"numeric_atoms","value":1186,"base":2}}}}},"used_operators":["Qy55tPpLXF","QMFrweE19q","IWmyXbctLI","tmPS8pqC7x","fu6greOZ01","Tcnh7f0tEr","bJkvcejdHO","8HhzD0ZcuI","COABgblf1C","tifHPKVTfV","rysDP5nf3Z","DlLNRPXxWL","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","3ViojmjbAp","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1528","layer":4},{"info":"number node, value=5818","layer":4},{"info":"compute binary expreesion, left_input=1528, right_input=5818, 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=1528","layer":3},{"info":"number node, value=5322","layer":4},{"info":"number node, value=5318","layer":4},{"info":"compute binary expreesion, left_input=5322, right_input=5318, 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=1528, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1032","layer":4},{"info":"number node, value=1232","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=1232, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=266815","layer":3},{"info":"compute unary expreesion, input=266815, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"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":1},{"info":"number node, value=5438","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=5438, right_input=1195, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4243","layer":3},{"info":"number node, value=2204","layer":4},{"info":"number node, value=4943","layer":4},{"info":"compute binary expreesion, left_input=2204, right_input=4943, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2739","layer":3},{"info":"compute binary expreesion, left_input=-4243, right_input=-2739, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3013","layer":2},{"info":"number node, value=3877","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=3877, right_input=1186, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute unary expreesion, input=3, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=3013, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-27233193","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-27233193, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10111111000⨪↰⇹≮⫘↔1011010111010)⪮%⊝(≮⫘↔1010011001010⨐⩸⫘≮⫘↔1010011000110)⫡⨏(≮⫘↔10000001000≎⊠⪸≮⫘↔10011010000≣⋋))⋥≓≎(≮⫘↔1010100111110⇼⇔∾≮⫘↔10010101011⊭↱(≮⫘↔100010011100-≮⫘↔1001101001111))⨽(⫛⫱⨽(≮⫘↔111100100101/≮⫘↔10010100010))=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=((≮⫘↔10111111000⨪↰⇹≮⫘↔1011010111010)⪮%⊝(≮⫘↔1010011001010⨐⩸⫘≮⫘↔1010011000110)⫡⨏(≮⫘↔10000001000≎⊠⪸≮⫘↔10011010000≣⋋))⋥≓≎(≮⫘↔1010100111110⇼⇔∾≮⫘↔10010101011⊭↱(≮⫘↔100010011100-≮⫘↔1001101001111))⨽(⫛⫱⨽(≮⫘↔111100100101/≮⫘↔10010100010))","cot":[{"info":"≮⫘↔10111111000⨪↰⇹≮⫘↔1011010111010=≮⫘↔10111111000","layer":3},{"info":"≮⫘↔1010011001010⨐⩸⫘≮⫘↔1010011000110=NaN","layer":3},{"info":"≮⫘↔10111111000⪮%⊝NaN=NaN","layer":2},{"info":"≮⫘↔10000001000≎⊠⪸≮⫘↔10011010000=≮⫘↔1000001001000111111","layer":3},{"info":"≮⫘↔1000001001000111111≣⋋=≮⫘↔0","layer":2},{"info":"NaN⫡⨏≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔1010100111110⇼⇔∾≮⫘↔10010101011=≮⫘↔-1000010010011","layer":3},{"info":"≮⫘↔100010011100-≮⫘↔1001101001111=≮⫘↔-101010110011","layer":3},{"info":"≮⫘↔-1000010010011⊭↱≮⫘↔-101010110011=≮⫘↔101111000101","layer":2},{"info":"≮⫘↔111100100101/≮⫘↔10010100010=≮⫘↔11","layer":3},{"info":"⫛⫱⨽≮⫘↔11=≮⫘↔0","layer":2},{"info":"≮⫘↔101111000101⨽≮⫘↔0=≮⫘↔-1100111111000101110101001","layer":1},{"info":"NaN⋥≓≎≮⫘↔-1100111111000101110101001=≮⫘↔1000011","layer":0}]}
{"id":181,"expression_no_base_symbol":"⋗⩬⋾((⊥($3383$⨵⪆$2397$))⋷($4500$⨪↰⇹$3422$⫡⨏($5445$⋫)))","expression":"⋗⩬⋾((⊥(≮⫘↔110100110111⨵⪆≮⫘↔100101011101))⋷(≮⫘↔1000110010100⨪↰⇹≮⫘↔110101011110⫡⨏(≮⫘↔1010101000101⋫)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":36518,"operation_count":7,"complexity_ratio":5216.857142857143,"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":3383,"base":2},"right_expr":{"type":"numeric_atoms","value":2397,"base":2}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4500,"base":2},"right_expr":{"type":"numeric_atoms","value":3422,"base":2}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":5445,"base":2}}}}},"used_operators":["DpFCA1CohY","23Mk6UjR3U","Q3PJZHRvZv","2DQ55sFlQl","QMFrweE19q","tmPS8pqC7x","JL8yIekQnl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","tmPS8pqC7x"],"result":"≮⫘↔-1111010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3383","layer":4},{"info":"number node, value=2397","layer":4},{"info":"compute binary expreesion, left_input=3383, right_input=2397, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-163","layer":2},{"info":"number node, value=4500","layer":4},{"info":"number node, value=3422","layer":4},{"info":"compute binary expreesion, left_input=4500, right_input=3422, 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=4500","layer":3},{"info":"number node, value=5445","layer":4},{"info":"compute unary expreesion, input=5445, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5445","layer":3},{"info":"compute binary expreesion, left_input=4500, right_input=5445, 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=34173","layer":2},{"info":"compute binary expreesion, left_input=-163, right_input=34173, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=326","layer":1},{"info":"compute unary expreesion, input=326, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-978","layer":0}],"base":2,"result_base":2,"text":"⋗⩬⋾((⊥(≮⫘↔110100110111⨵⪆≮⫘↔100101011101))⋷(≮⫘↔1000110010100⨪↰⇹≮⫘↔110101011110⫡⨏(≮⫘↔1010101000101⋫)))=≮⫘↔-1111010010","reverse_text":"≮⫘↔-1111010010=⋗⩬⋾((⊥(≮⫘↔110100110111⨵⪆≮⫘↔100101011101))⋷(≮⫘↔1000110010100⨪↰⇹≮⫘↔110101011110⫡⨏(≮⫘↔1010101000101⋫)))","cot":[{"info":"≮⫘↔110100110111⨵⪆≮⫘↔100101011101=≮⫘↔10100000","layer":3},{"info":"⊥≮⫘↔10100000=≮⫘↔-10100011","layer":2},{"info":"≮⫘↔1000110010100⨪↰⇹≮⫘↔110101011110=≮⫘↔1000110010100","layer":3},{"info":"≮⫘↔1010101000101⋫=≮⫘↔1010101000101","layer":3},{"info":"≮⫘↔1000110010100⫡⨏≮⫘↔1010101000101=≮⫘↔1000010101111101","layer":2},{"info":"≮⫘↔-10100011⋷≮⫘↔1000010101111101=≮⫘↔101000110","layer":1},{"info":"⋗⩬⋾≮⫘↔101000110=≮⫘↔-1111010010","layer":0}]}
{"id":182,"expression_no_base_symbol":"($1275$⨪↰⇹$2861$⋝⋈⪟($4363$*$3103$)⨽(($2373$⨵⪆$4670$)∸))≎⊠⪸($1247$⊴$3987$≎⊠⪸$2078$⨰$5227$⫌⩹⨱)","expression":"(≮⫘↔10011111011⨪↰⇹≮⫘↔101100101101⋝⋈⪟(≮⫘↔1000100001011*≮⫘↔110000011111)⨽((≮⫘↔100101000101⨵⪆≮⫘↔1001000111110)∸))≎⊠⪸(≮⫘↔10011011111⊴≮⫘↔111110010011≎⊠⪸≮⫘↔100000011110⨰≮⫘↔1010001101011⫌⩹⨱)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10131,"operation_count":11,"complexity_ratio":921.0,"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":1275,"base":2},"right_expr":{"type":"numeric_atoms","value":2861,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4363,"base":2},"right_expr":{"type":"numeric_atoms","value":3103,"base":2}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2373,"base":2},"right_expr":{"type":"numeric_atoms","value":4670,"base":2}}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1247,"base":2},"right_expr":{"type":"numeric_atoms","value":3987,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2078,"base":2},"right_expr":{"type":"numeric_atoms","value":5227,"base":2}}}}},"used_operators":["bJkvcejdHO","8HhzD0ZcuI","2DDjHMKMc0","tmPS8pqC7x","9HNa5Wba9A","o20kRiQErp","2DQ55sFlQl","EBcxylXtPf","Nsiff2A1zJ","eewbuw0ToL"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔1001011010001100111000110110100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1275","layer":4},{"info":"number node, value=2861","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=2861, 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=1275","layer":3},{"info":"number node, value=4363","layer":4},{"info":"number node, value=3103","layer":4},{"info":"compute binary expreesion, left_input=4363, right_input=3103, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13538389","layer":3},{"info":"compute binary expreesion, left_input=1275, right_input=13538389, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1275","layer":2},{"info":"number node, value=2373","layer":4},{"info":"number node, value=4670","layer":4},{"info":"compute binary expreesion, left_input=2373, right_input=4670, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=1275, right_input=177, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4876092","layer":1},{"info":"number node, value=1247","layer":4},{"info":"number node, value=3987","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=3987, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2078","layer":4},{"info":"number node, value=5227","layer":4},{"info":"compute binary expreesion, left_input=2078, right_input=5227, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3139","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3139, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1535","layer":1},{"info":"compute binary expreesion, left_input=-4876092, right_input=1535, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1262907828","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10011111011⨪↰⇹≮⫘↔101100101101⋝⋈⪟(≮⫘↔1000100001011*≮⫘↔110000011111)⨽((≮⫘↔100101000101⨵⪆≮⫘↔1001000111110)∸))≎⊠⪸(≮⫘↔10011011111⊴≮⫘↔111110010011≎⊠⪸≮⫘↔100000011110⨰≮⫘↔1010001101011⫌⩹⨱)=≮⫘↔1001011010001100111000110110100","reverse_text":"≮⫘↔1001011010001100111000110110100=(≮⫘↔10011111011⨪↰⇹≮⫘↔101100101101⋝⋈⪟(≮⫘↔1000100001011*≮⫘↔110000011111)⨽((≮⫘↔100101000101⨵⪆≮⫘↔1001000111110)∸))≎⊠⪸(≮⫘↔10011011111⊴≮⫘↔111110010011≎⊠⪸≮⫘↔100000011110⨰≮⫘↔1010001101011⫌⩹⨱)","cot":[{"info":"≮⫘↔10011111011⨪↰⇹≮⫘↔101100101101=≮⫘↔10011111011","layer":3},{"info":"≮⫘↔1000100001011*≮⫘↔110000011111=≮⫘↔110011101001010001010101","layer":3},{"info":"≮⫘↔10011111011⋝⋈⪟≮⫘↔110011101001010001010101=≮⫘↔10011111011","layer":2},{"info":"≮⫘↔100101000101⨵⪆≮⫘↔1001000111110=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10100000∸=≮⫘↔10110001","layer":2},{"info":"≮⫘↔10011111011⨽≮⫘↔10110001=≮⫘↔-10010100110011100111100","layer":1},{"info":"≮⫘↔10011011111⊴≮⫘↔111110010011=NaN","layer":3},{"info":"≮⫘↔100000011110⨰≮⫘↔1010001101011=≮⫘↔-110001000011","layer":3},{"info":"NaN≎⊠⪸≮⫘↔-110001000011=≮⫘↔1000011","layer":2},{"info":"≮⫘↔1000011⫌⩹⨱=≮⫘↔10111111111","layer":1},{"info":"≮⫘↔-10010100110011100111100≎⊠⪸≮⫘↔10111111111=≮⫘↔1001011010001100111000110110100","layer":0}]}
{"id":183,"expression_no_base_symbol":"($2733$⇋≉)⨟⋌⩍($3058$⋷$5227$)⋳⪒((↯⪼$3944$)⨎$4155$⩚⊴⇥$1324$)⨳⩥⨓((⫛⫱⨽($1872$↬$5163$))⪠⩆⊳)","expression":"(≮⫘↔101010101101⇋≉)⨟⋌⩍(≮⫘↔101111110010⋷≮⫘↔1010001101011)⋳⪒((↯⪼≮⫘↔111101101000)⨎≮⫘↔1000000111011⩚⊴⇥≮⫘↔10100101100)⨳⩥⨓((⫛⫱⨽(≮⫘↔11101010000↬≮⫘↔1010000101011))⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":971,"operation_count":11,"complexity_ratio":88.27272727272727,"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":2733,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3058,"base":2},"right_expr":{"type":"numeric_atoms","value":5227,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3944,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4155,"base":2},"right_expr":{"type":"numeric_atoms","value":1324,"base":2}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1872,"base":2},"right_expr":{"type":"numeric_atoms","value":5163,"base":2}}}}},"used_operators":["nCS4ZIUYfx","12rbrZMWeM","rGHVDoGpnC","XIabStNQrY","23Mk6UjR3U","rJVOvQCfKK","8jW3W4yZS5","NTOWxs364D","JLbD19bQDL","DlLNRPXxWL","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2733","layer":4},{"info":"compute unary expreesion, input=2733, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5368","layer":3},{"info":"number node, value=3058","layer":4},{"info":"number node, value=5227","layer":4},{"info":"compute binary expreesion, left_input=3058, right_input=5227, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7396","layer":3},{"info":"compute binary expreesion, left_input=5368, right_input=7396, 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=3944","layer":4},{"info":"compute unary expreesion, input=3944, 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=4155","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=4155, right_input=1324, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5600","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-5600, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-5600","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5600, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=1872","layer":4},{"info":"number node, value=5163","layer":4},{"info":"compute binary expreesion, left_input=1872, right_input=5163, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101010101101⇋≉)⨟⋌⩍(≮⫘↔101111110010⋷≮⫘↔1010001101011)⋳⪒((↯⪼≮⫘↔111101101000)⨎≮⫘↔1000000111011⩚⊴⇥≮⫘↔10100101100)⨳⩥⨓((⫛⫱⨽(≮⫘↔11101010000↬≮⫘↔1010000101011))⪠⩆⊳)=NaN","reverse_text":"NaN=(≮⫘↔101010101101⇋≉)⨟⋌⩍(≮⫘↔101111110010⋷≮⫘↔1010001101011)⋳⪒((↯⪼≮⫘↔111101101000)⨎≮⫘↔1000000111011⩚⊴⇥≮⫘↔10100101100)⨳⩥⨓((⫛⫱⨽(≮⫘↔11101010000↬≮⫘↔1010000101011))⪠⩆⊳)","cot":[{"info":"≮⫘↔101010101101⇋≉=≮⫘↔1010011111000","layer":3},{"info":"≮⫘↔101111110010⋷≮⫘↔1010001101011=≮⫘↔1110011100100","layer":3},{"info":"≮⫘↔1010011111000⨟⋌⩍≮⫘↔1110011100100=NaN","layer":2},{"info":"↯⪼≮⫘↔111101101000=≮⫘↔-10101","layer":3},{"info":"≮⫘↔1000000111011⩚⊴⇥≮⫘↔10100101100=≮⫘↔-1010111100000","layer":3},{"info":"≮⫘↔-10101⨎≮⫘↔-1010111100000=≮⫘↔-1010111100000","layer":2},{"info":"NaN⋳⪒≮⫘↔-1010111100000=NaN","layer":1},{"info":"≮⫘↔11101010000↬≮⫘↔1010000101011=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":184,"expression_no_base_symbol":"(⨰⫟⨤($3599$⫡⨏$4303$))⋓($2979$⊴$6553$⋓(⨞⊢$1493$))⪄((⪲⇎$7244$)⫸⊐(⫛⫱⨽$1095$)⪨≂$1378$⋝⋈⪟$3983$∲⫓($7645$/$5917$))","expression":"(⨰⫟⨤(≮⫘↔111000001111⫡⨏≮⫘↔1000011001111))⋓(≮⫘↔101110100011⊴≮⫘↔1100110011001⋓(⨞⊢≮⫘↔10111010101))⪄((⪲⇎≮⫘↔1110001001100)⫸⊐(⫛⫱⨽≮⫘↔10001000111)⪨≂≮⫘↔10101100010⋝⋈⪟≮⫘↔111110001111∲⫓(≮⫘↔1110111011101/≮⫘↔1011100011101))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":116771,"operation_count":14,"complexity_ratio":8340.785714285714,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3599,"base":2},"right_expr":{"type":"numeric_atoms","value":4303,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2979,"base":2},"right_expr":{"type":"numeric_atoms","value":6553,"base":2}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1493,"base":2}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":7244,"base":2}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1095,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1378,"base":2},"right_expr":{"type":"numeric_atoms","value":3983,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":7645,"base":2},"right_expr":{"type":"numeric_atoms","value":5917,"base":2}}}}},"used_operators":["SUmda5xLS4","T2fj7uvVaJ","Tw270M8GLb","QMFrweE19q","Nsiff2A1zJ","xUOZtlo3hN","sdazOOVcIp","mqXw5SEYmG","XPYlsWDdGa","DlLNRPXxWL","i8ToyICDmI","2DDjHMKMc0","XhwjNDsVaA"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"≮⫘↔11110010100111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3599","layer":4},{"info":"number node, value=4303","layer":4},{"info":"compute binary expreesion, left_input=3599, right_input=4303, 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=27384","layer":3},{"info":"compute unary expreesion, input=27384, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=2979","layer":4},{"info":"number node, value=6553","layer":4},{"info":"compute binary expreesion, left_input=2979, right_input=6553, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1493","layer":4},{"info":"compute unary expreesion, input=1493, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1667","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1667, 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 = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=7244","layer":4},{"info":"compute unary expreesion, input=7244, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=14488","layer":3},{"info":"number node, value=1095","layer":4},{"info":"compute unary expreesion, input=1095, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=14488, 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=1378","layer":4},{"info":"number node, value=3983","layer":4},{"info":"compute binary expreesion, left_input=1378, right_input=3983, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1378","layer":3},{"info":"number node, value=7645","layer":4},{"info":"number node, value=5917","layer":4},{"info":"compute binary expreesion, left_input=7645, right_input=5917, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=1378, right_input=1, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=1378","layer":2},{"info":"compute binary expreesion, left_input=-125, right_input=1378, 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=-2904","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-2904, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=15527","layer":0}],"base":2,"result_base":2,"text":"(⨰⫟⨤(≮⫘↔111000001111⫡⨏≮⫘↔1000011001111))⋓(≮⫘↔101110100011⊴≮⫘↔1100110011001⋓(⨞⊢≮⫘↔10111010101))⪄((⪲⇎≮⫘↔1110001001100)⫸⊐(⫛⫱⨽≮⫘↔10001000111)⪨≂≮⫘↔10101100010⋝⋈⪟≮⫘↔111110001111∲⫓(≮⫘↔1110111011101/≮⫘↔1011100011101))=≮⫘↔11110010100111","reverse_text":"≮⫘↔11110010100111=(⨰⫟⨤(≮⫘↔111000001111⫡⨏≮⫘↔1000011001111))⋓(≮⫘↔101110100011⊴≮⫘↔1100110011001⋓(⨞⊢≮⫘↔10111010101))⪄((⪲⇎≮⫘↔1110001001100)⫸⊐(⫛⫱⨽≮⫘↔10001000111)⪨≂≮⫘↔10101100010⋝⋈⪟≮⫘↔111110001111∲⫓(≮⫘↔1110111011101/≮⫘↔1011100011101))","cot":[{"info":"≮⫘↔111000001111⫡⨏≮⫘↔1000011001111=≮⫘↔110101011111000","layer":3},{"info":"⨰⫟⨤≮⫘↔110101011111000=NaN","layer":2},{"info":"≮⫘↔101110100011⊴≮⫘↔1100110011001=NaN","layer":3},{"info":"⨞⊢≮⫘↔10111010101=≮⫘↔-11010000011","layer":3},{"info":"NaN⋓≮⫘↔-11010000011=≮⫘↔0","layer":2},{"info":"NaN⋓≮⫘↔0=≮⫘↔0","layer":1},{"info":"⪲⇎≮⫘↔1110001001100=≮⫘↔11100010011000","layer":3},{"info":"⫛⫱⨽≮⫘↔10001000111=≮⫘↔0","layer":3},{"info":"≮⫘↔11100010011000⫸⊐≮⫘↔0=≮⫘↔-1111101","layer":2},{"info":"≮⫘↔10101100010⋝⋈⪟≮⫘↔111110001111=≮⫘↔10101100010","layer":3},{"info":"≮⫘↔1110111011101/≮⫘↔1011100011101=≮⫘↔1","layer":3},{"info":"≮⫘↔10101100010∲⫓≮⫘↔1=≮⫘↔10101100010","layer":2},{"info":"≮⫘↔-1111101⪨≂≮⫘↔10101100010=≮⫘↔-101101011000","layer":1},{"info":"≮⫘↔0⪄≮⫘↔-101101011000=≮⫘↔11110010100111","layer":0}]}
{"id":185,"expression_no_base_symbol":"(⊥($4200$⩚⊴⇥$2153$))⇼⇔∾($5121$*$2138$)⨽$4869$⋝⋈⪟$3749$⊭↱(⩦⩻⨪$1391$⪛$1128$)⨎(($1363$↺$1585$)⋥≓≎($5043$⨸⪁$2146$))","expression":"(⊥(≮⫘↔1000001101000⩚⊴⇥≮⫘↔100001101001))⇼⇔∾(≮⫘↔1010000000001*≮⫘↔100001011010)⨽≮⫘↔1001100000101⋝⋈⪟≮⫘↔111010100101⊭↱(⩦⩻⨪≮⫘↔10101101111⪛≮⫘↔10001101000)⨎((≮⫘↔10101010011↺≮⫘↔11000110001)⋥≓≎(≮⫘↔1001110110011⨸⪁≮⫘↔100001100010))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10950877,"operation_count":13,"complexity_ratio":842375.1538461539,"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":4200,"base":2},"right_expr":{"type":"numeric_atoms","value":2153,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5121,"base":2},"right_expr":{"type":"numeric_atoms","value":2138,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4869,"base":2},"right_expr":{"type":"numeric_atoms","value":3749,"base":2}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1391,"base":2},"right_expr":{"type":"numeric_atoms","value":1128,"base":2}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1363,"base":2},"right_expr":{"type":"numeric_atoms","value":1585,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5043,"base":2},"right_expr":{"type":"numeric_atoms","value":2146,"base":2}}}}},"used_operators":["COABgblf1C","tifHPKVTfV","Q3PJZHRvZv","NTOWxs364D","8HhzD0ZcuI","9HNa5Wba9A","2DDjHMKMc0","rJVOvQCfKK","2td37pGCOC","uFcxV4UQCh","Qy55tPpLXF","7j4O788W3g","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4200","layer":4},{"info":"number node, value=2153","layer":4},{"info":"compute binary expreesion, left_input=4200, right_input=2153, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6474","layer":3},{"info":"compute unary expreesion, input=-6474, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=5121","layer":4},{"info":"number node, value=2138","layer":4},{"info":"compute binary expreesion, left_input=5121, right_input=2138, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10948698","layer":3},{"info":"number node, value=4869","layer":4},{"info":"number node, value=3749","layer":4},{"info":"compute binary expreesion, left_input=4869, right_input=3749, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4869","layer":3},{"info":"compute binary expreesion, left_input=10948698, right_input=4869, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1391","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=1391, right_input=1128, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=263","layer":3},{"info":"compute unary expreesion, input=263, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=263","layer":2},{"info":"number node, value=1363","layer":4},{"info":"number node, value=1585","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=1585, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1585","layer":3},{"info":"number node, value=5043","layer":4},{"info":"number node, value=2146","layer":4},{"info":"compute binary expreesion, left_input=5043, right_input=2146, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14378","layer":3},{"info":"compute binary expreesion, left_input=1585, right_input=14378, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=27204","layer":2},{"info":"compute binary expreesion, left_input=263, right_input=27204, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=27204","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=27204, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊥(≮⫘↔1000001101000⩚⊴⇥≮⫘↔100001101001))⇼⇔∾(≮⫘↔1010000000001*≮⫘↔100001011010)⨽≮⫘↔1001100000101⋝⋈⪟≮⫘↔111010100101⊭↱(⩦⩻⨪≮⫘↔10101101111⪛≮⫘↔10001101000)⨎((≮⫘↔10101010011↺≮⫘↔11000110001)⋥≓≎(≮⫘↔1001110110011⨸⪁≮⫘↔100001100010))=NaN","reverse_text":"NaN=(⊥(≮⫘↔1000001101000⩚⊴⇥≮⫘↔100001101001))⇼⇔∾(≮⫘↔1010000000001*≮⫘↔100001011010)⨽≮⫘↔1001100000101⋝⋈⪟≮⫘↔111010100101⊭↱(⩦⩻⨪≮⫘↔10101101111⪛≮⫘↔10001101000)⨎((≮⫘↔10101010011↺≮⫘↔11000110001)⋥≓≎(≮⫘↔1001110110011⨸⪁≮⫘↔100001100010))","cot":[{"info":"≮⫘↔1000001101000⩚⊴⇥≮⫘↔100001101001=≮⫘↔-1100101001010","layer":3},{"info":"⊥≮⫘↔-1100101001010=NaN","layer":2},{"info":"≮⫘↔1010000000001*≮⫘↔100001011010=≮⫘↔101001110001000001011010","layer":3},{"info":"≮⫘↔1001100000101⋝⋈⪟≮⫘↔111010100101=≮⫘↔1001100000101","layer":3},{"info":"≮⫘↔101001110001000001011010⨽≮⫘↔1001100000101=-Inf","layer":2},{"info":"NaN⇼⇔∾-Inf=NaN","layer":1},{"info":"≮⫘↔10101101111⪛≮⫘↔10001101000=≮⫘↔100000111","layer":3},{"info":"⩦⩻⨪≮⫘↔100000111=≮⫘↔100000111","layer":2},{"info":"≮⫘↔10101010011↺≮⫘↔11000110001=≮⫘↔11000110001","layer":3},{"info":"≮⫘↔1001110110011⨸⪁≮⫘↔100001100010=≮⫘↔11100000101010","layer":3},{"info":"≮⫘↔11000110001⋥≓≎≮⫘↔11100000101010=≮⫘↔110101001000100","layer":2},{"info":"≮⫘↔100000111⨎≮⫘↔110101001000100=≮⫘↔110101001000100","layer":1},{"info":"NaN⊭↱≮⫘↔110101001000100=NaN","layer":0}]}
{"id":186,"expression_no_base_symbol":"(≉(⨵≀≌$2088$)⋥≓≎$3109$⋥≓≎$1089$)⫥∨⫟(($1405$⪄$2193$)⪠⩆⊳)∼(($1528$⨁⊸⫻)⊉≛↸$4329$⇷$2907$)","expression":"(≉(⨵≀≌≮⫘↔100000101000)⋥≓≎≮⫘↔110000100101⋥≓≎≮⫘↔10001000001)⫥∨⫟((≮⫘↔10101111101⪄≮⫘↔100010010001)⪠⩆⊳)∼((≮⫘↔10111111000⨁⊸⫻)⊉≛↸≮⫘↔1000011101001⇷≮⫘↔101101011011)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":60884,"operation_count":11,"complexity_ratio":5534.909090909091,"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":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3109,"base":2},"right_expr":{"type":"numeric_atoms","value":1089,"base":2}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1405,"base":2},"right_expr":{"type":"numeric_atoms","value":2193,"base":2}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1528,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4329,"base":2},"right_expr":{"type":"numeric_atoms","value":2907,"base":2}}}}},"used_operators":["KYD54nUTWz","e1ybzncUwg","Qy55tPpLXF","srAu1WTS94","DyGG3AbaNP","JLbD19bQDL","SUmda5xLS4","DZ8iAZOCBD","glklzrTFfD","mp7IySMOzn"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2088","layer":4},{"info":"compute unary expreesion, input=2088, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6264","layer":3},{"info":"number node, value=3109","layer":4},{"info":"number node, value=1089","layer":4},{"info":"compute binary expreesion, left_input=3109, right_input=1089, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-898","layer":3},{"info":"compute binary expreesion, left_input=-6264, right_input=-898, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=598","layer":1},{"info":"number node, value=1405","layer":4},{"info":"number node, value=2193","layer":4},{"info":"compute binary expreesion, left_input=1405, right_input=2193, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-212801","layer":3},{"info":"compute unary expreesion, input=-212801, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"number node, value=1528","layer":4},{"info":"compute unary expreesion, input=1528, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1528","layer":3},{"info":"number node, value=4329","layer":4},{"info":"number node, value=2907","layer":4},{"info":"compute binary expreesion, left_input=4329, right_input=2907, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5814","layer":3},{"info":"compute binary expreesion, left_input=1528, right_input=5814, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3056","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3056, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=598, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≉(⨵≀≌≮⫘↔100000101000)⋥≓≎≮⫘↔110000100101⋥≓≎≮⫘↔10001000001)⫥∨⫟((≮⫘↔10101111101⪄≮⫘↔100010010001)⪠⩆⊳)∼((≮⫘↔10111111000⨁⊸⫻)⊉≛↸≮⫘↔1000011101001⇷≮⫘↔101101011011)=NaN","reverse_text":"NaN=(≉(⨵≀≌≮⫘↔100000101000)⋥≓≎≮⫘↔110000100101⋥≓≎≮⫘↔10001000001)⫥∨⫟((≮⫘↔10101111101⪄≮⫘↔100010010001)⪠⩆⊳)∼((≮⫘↔10111111000⨁⊸⫻)⊉≛↸≮⫘↔1000011101001⇷≮⫘↔101101011011)","cot":[{"info":"⨵≀≌≮⫘↔100000101000=≮⫘↔-1100001111000","layer":3},{"info":"≮⫘↔110000100101⋥≓≎≮⫘↔10001000001=≮⫘↔-1110000010","layer":3},{"info":"≮⫘↔-1100001111000⋥≓≎≮⫘↔-1110000010=≮⫘↔1000011","layer":2},{"info":"≉≮⫘↔1000011=≮⫘↔1001010110","layer":1},{"info":"≮⫘↔10101111101⪄≮⫘↔100010010001=≮⫘↔-110011111101000001","layer":3},{"info":"≮⫘↔-110011111101000001⪠⩆⊳=≮⫘↔0","layer":2},{"info":"≮⫘↔10111111000⨁⊸⫻=≮⫘↔10111111000","layer":3},{"info":"≮⫘↔1000011101001⇷≮⫘↔101101011011=≮⫘↔1011010110110","layer":3},{"info":"≮⫘↔10111111000⊉≛↸≮⫘↔1011010110110=≮⫘↔101111110000","layer":2},{"info":"≮⫘↔0∼≮⫘↔101111110000=NaN","layer":1},{"info":"≮⫘↔1001010110⫥∨⫟NaN=NaN","layer":0}]}
{"id":187,"expression_no_base_symbol":"(($5569$⩨$3017$)⩷∴($3650$⋝⋈⪟$2674$)⋫)⩨($3487$∼$5610$⊉≛↸($1036$⪨≂$3889$))⨽(-$1824$%$2367$)","expression":"((≮⫘↔1010111000001⩨≮⫘↔101111001001)⩷∴(≮⫘↔111001000010⋝⋈⪟≮⫘↔101001110010)⋫)⩨(≮⫘↔110110011111∼≮⫘↔1010111101010⊉≛↸(≮⫘↔10000001100⪨≂≮⫘↔111100110001))⨽(-≮⫘↔11100100000%≮⫘↔100100111111)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7438,"operation_count":11,"complexity_ratio":676.1818181818181,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5569,"base":2},"right_expr":{"type":"numeric_atoms","value":3017,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3650,"base":2},"right_expr":{"type":"numeric_atoms","value":2674,"base":2}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3487,"base":2},"right_expr":{"type":"numeric_atoms","value":5610,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1036,"base":2},"right_expr":{"type":"numeric_atoms","value":3889,"base":2}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1824,"base":2},"right_expr":{"type":"numeric_atoms","value":2367,"base":2}}}}},"used_operators":["2DlMacCsIx","JL8yIekQnl","9FxExcQeMw","2DDjHMKMc0","8HhzD0ZcuI","DZ8iAZOCBD","DyGG3AbaNP","sdazOOVcIp","t8gj7n24qd","k8jYdgA6NY"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5569","layer":4},{"info":"number node, value=3017","layer":4},{"info":"compute binary expreesion, left_input=5569, right_input=3017, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=3650","layer":4},{"info":"number node, value=2674","layer":4},{"info":"compute binary expreesion, left_input=3650, right_input=2674, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3650","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3650, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7332","layer":2},{"info":"compute unary expreesion, input=-7332, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-7332","layer":1},{"info":"number node, value=3487","layer":4},{"info":"number node, value=5610","layer":4},{"info":"compute binary expreesion, left_input=3487, right_input=5610, 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=1036","layer":4},{"info":"number node, value=3889","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=3889, 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=-5604","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5604, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"number node, value=1824","layer":4},{"info":"number node, value=2367","layer":4},{"info":"compute binary expreesion, left_input=1824, right_input=2367, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1824","layer":3},{"info":"compute unary expreesion, input=1824, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1824","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1824, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-7332, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010111000001⩨≮⫘↔101111001001)⩷∴(≮⫘↔111001000010⋝⋈⪟≮⫘↔101001110010)⋫)⩨(≮⫘↔110110011111∼≮⫘↔1010111101010⊉≛↸(≮⫘↔10000001100⪨≂≮⫘↔111100110001))⨽(-≮⫘↔11100100000%≮⫘↔100100111111)=NaN","reverse_text":"NaN=((≮⫘↔1010111000001⩨≮⫘↔101111001001)⩷∴(≮⫘↔111001000010⋝⋈⪟≮⫘↔101001110010)⋫)⩨(≮⫘↔110110011111∼≮⫘↔1010111101010⊉≛↸(≮⫘↔10000001100⪨≂≮⫘↔111100110001))⨽(-≮⫘↔11100100000%≮⫘↔100100111111)","cot":[{"info":"≮⫘↔1010111000001⩨≮⫘↔101111001001=≮⫘↔0","layer":3},{"info":"≮⫘↔111001000010⋝⋈⪟≮⫘↔101001110010=≮⫘↔111001000010","layer":3},{"info":"≮⫘↔0⩷∴≮⫘↔111001000010=≮⫘↔-1110010100100","layer":2},{"info":"≮⫘↔-1110010100100⋫=≮⫘↔-1110010100100","layer":1},{"info":"≮⫘↔110110011111∼≮⫘↔1010111101010=NaN","layer":3},{"info":"≮⫘↔10000001100⪨≂≮⫘↔111100110001=≮⫘↔-1010111100100","layer":3},{"info":"NaN⊉≛↸≮⫘↔-1010111100100=NaN","layer":2},{"info":"≮⫘↔11100100000%≮⫘↔100100111111=≮⫘↔11100100000","layer":3},{"info":"-≮⫘↔11100100000=≮⫘↔-11100100000","layer":2},{"info":"NaN⨽≮⫘↔-11100100000=NaN","layer":1},{"info":"≮⫘↔-1110010100100⩨NaN=NaN","layer":0}]}
{"id":188,"expression_no_base_symbol":"(($2350$↙$1557$)⪘⫢($1338$+$1847$)∲⫓($1421$*$5363$)⪮%⊝($2617$⩚⊴⇥$2951$))⫥∨⫟($2983$⪛$1278$+⇶⊼(⋗⩬⋾$1098$)∲⫓(↣≠⋷(≤/$2223$)))","expression":"((≮⫘↔100100101110↙≮⫘↔11000010101)⪘⫢(≮⫘↔10100111010+≮⫘↔11100110111)∲⫓(≮⫘↔10110001101*≮⫘↔1010011110011)⪮%⊝(≮⫘↔101000111001⩚⊴⇥≮⫘↔101110000111))⫥∨⫟(≮⫘↔101110100111⪛≮⫘↔10011111110+⇶⊼(⋗⩬⋾≮⫘↔10001001010)∲⫓(↣≠⋷(≤/≮⫘↔100010101111)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3174,"operation_count":14,"complexity_ratio":226.71428571428572,"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":2350,"base":2},"right_expr":{"type":"numeric_atoms","value":1557,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1338,"base":2},"right_expr":{"type":"numeric_atoms","value":1847,"base":2}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1421,"base":2},"right_expr":{"type":"numeric_atoms","value":5363,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2617,"base":2},"right_expr":{"type":"numeric_atoms","value":2951,"base":2}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2983,"base":2},"right_expr":{"type":"numeric_atoms","value":1278,"base":2}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1098,"base":2}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2223,"base":2}}}}},"used_operators":["KYD54nUTWz","i8ToyICDmI","oacrs7FA3X","yyfyN0ffXY","W4YGzv6Whe","IWmyXbctLI","9HNa5Wba9A","NTOWxs364D","TpPTUOHfaN","uFcxV4UQCh","DpFCA1CohY","Asc51vEJeQ","eLAdDNolq6"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2350","layer":4},{"info":"number node, value=1557","layer":4},{"info":"compute binary expreesion, left_input=2350, right_input=1557, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4671","layer":3},{"info":"number node, value=1338","layer":4},{"info":"number node, value=1847","layer":4},{"info":"compute binary expreesion, left_input=1338, right_input=1847, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3185","layer":3},{"info":"compute binary expreesion, left_input=-4671, right_input=3185, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"number node, value=1421","layer":4},{"info":"number node, value=5363","layer":4},{"info":"compute binary expreesion, left_input=1421, right_input=5363, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7620823","layer":3},{"info":"number node, value=2617","layer":4},{"info":"number node, value=2951","layer":4},{"info":"compute binary expreesion, left_input=2617, right_input=2951, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5689","layer":3},{"info":"compute binary expreesion, left_input=7620823, right_input=-5689, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=15241962","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=15241962, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=2983","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=2983, right_input=1278, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=427","layer":3},{"info":"number node, value=1098","layer":4},{"info":"compute unary expreesion, input=1098, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3294","layer":3},{"info":"compute binary expreesion, left_input=427, right_input=-3294, 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=2223","layer":4},{"info":"compute unary expreesion, input=2223, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1739","layer":3},{"info":"compute unary expreesion, input=-1739, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100100101110↙≮⫘↔11000010101)⪘⫢(≮⫘↔10100111010+≮⫘↔11100110111)∲⫓(≮⫘↔10110001101*≮⫘↔1010011110011)⪮%⊝(≮⫘↔101000111001⩚⊴⇥≮⫘↔101110000111))⫥∨⫟(≮⫘↔101110100111⪛≮⫘↔10011111110+⇶⊼(⋗⩬⋾≮⫘↔10001001010)∲⫓(↣≠⋷(≤/≮⫘↔100010101111)))=NaN","reverse_text":"NaN=((≮⫘↔100100101110↙≮⫘↔11000010101)⪘⫢(≮⫘↔10100111010+≮⫘↔11100110111)∲⫓(≮⫘↔10110001101*≮⫘↔1010011110011)⪮%⊝(≮⫘↔101000111001⩚⊴⇥≮⫘↔101110000111))⫥∨⫟(≮⫘↔101110100111⪛≮⫘↔10011111110+⇶⊼(⋗⩬⋾≮⫘↔10001001010)∲⫓(↣≠⋷(≤/≮⫘↔100010101111)))","cot":[{"info":"≮⫘↔100100101110↙≮⫘↔11000010101=≮⫘↔-1001000111111","layer":3},{"info":"≮⫘↔10100111010+≮⫘↔11100110111=≮⫘↔110001110001","layer":3},{"info":"≮⫘↔-1001000111111⪘⫢≮⫘↔110001110001=≮⫘↔-1","layer":2},{"info":"≮⫘↔10110001101*≮⫘↔1010011110011=≮⫘↔11101000100100011010111","layer":3},{"info":"≮⫘↔101000111001⩚⊴⇥≮⫘↔101110000111=≮⫘↔-1011000111001","layer":3},{"info":"≮⫘↔11101000100100011010111⪮%⊝≮⫘↔-1011000111001=≮⫘↔111010001001001011101010","layer":2},{"info":"≮⫘↔-1∲⫓≮⫘↔111010001001001011101010=≮⫘↔0","layer":1},{"info":"≮⫘↔101110100111⪛≮⫘↔10011111110=≮⫘↔110101011","layer":3},{"info":"⋗⩬⋾≮⫘↔10001001010=≮⫘↔-110011011110","layer":3},{"info":"≮⫘↔110101011+⇶⊼≮⫘↔-110011011110=NaN","layer":2},{"info":"≤/≮⫘↔100010101111=≮⫘↔-11011001011","layer":3},{"info":"↣≠⋷≮⫘↔-11011001011=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"≮⫘↔0⫥∨⫟NaN=NaN","layer":0}]}
{"id":189,"expression_no_base_symbol":"((⊙↵-($4051$⩤))↙($1608$+$4348$)⨐⩸⫘(∂$1151$))⊪","expression":"((⊙↵-(≮⫘↔111111010011⩤))↙(≮⫘↔11001001000+≮⫘↔1000011111100)⨐⩸⫘(∂≮⫘↔10001111111))⊪","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4104,"operation_count":7,"complexity_ratio":586.2857142857143,"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":4051,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1608,"base":2},"right_expr":{"type":"numeric_atoms","value":4348,"base":2}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1151,"base":2}}}}},"used_operators":["zVYPLywUTj","yyfyN0ffXY","oWn0xqSxBt","Z2TMIBDE3Q","fu6greOZ01","W4YGzv6Whe","Uaa54Peajs"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4051","layer":4},{"info":"compute unary expreesion, input=4051, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4051","layer":3},{"info":"compute unary expreesion, input=-4051, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"number node, value=1608","layer":4},{"info":"number node, value=4348","layer":4},{"info":"compute binary expreesion, left_input=1608, right_input=4348, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5956","layer":3},{"info":"number node, value=1151","layer":4},{"info":"compute unary expreesion, input=1151, 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=5956, 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=196, right_input=nan, 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 = 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=nan","layer":0}],"base":2,"result_base":2,"text":"((⊙↵-(≮⫘↔111111010011⩤))↙(≮⫘↔11001001000+≮⫘↔1000011111100)⨐⩸⫘(∂≮⫘↔10001111111))⊪=NaN","reverse_text":"NaN=((⊙↵-(≮⫘↔111111010011⩤))↙(≮⫘↔11001001000+≮⫘↔1000011111100)⨐⩸⫘(∂≮⫘↔10001111111))⊪","cot":[{"info":"≮⫘↔111111010011⩤=≮⫘↔-111111010011","layer":3},{"info":"⊙↵-≮⫘↔-111111010011=≮⫘↔11000100","layer":2},{"info":"≮⫘↔11001001000+≮⫘↔1000011111100=≮⫘↔1011101000100","layer":3},{"info":"∂≮⫘↔10001111111=NaN","layer":3},{"info":"≮⫘↔1011101000100⨐⩸⫘NaN=NaN","layer":2},{"info":"≮⫘↔11000100↙NaN=NaN","layer":1},{"info":"NaN⊪=NaN","layer":0}]}
{"id":190,"expression_no_base_symbol":"(⪝⪂⫅(⪝⪂⫅$1006$)⪘⫢(⊄⩳↩$1294$))≎⊠⪸((⨵≀≌(⊙↵-$1179$))∸)","expression":"(⪝⪂⫅(⪝⪂⫅≮⫘↔1111101110)⪘⫢(⊄⩳↩≮⫘↔10100001110))≎⊠⪸((⨵≀≌(⊙↵-≮⫘↔10010011011))∸)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1732,"operation_count":8,"complexity_ratio":216.5,"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":1006,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1294,"base":2}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1179,"base":2}}}}},"used_operators":["bJkvcejdHO","XTarYq4gQB","oacrs7FA3X","8w2t5hMYqp","o20kRiQErp","srAu1WTS94","oWn0xqSxBt"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"≮⫘↔1001001011100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1006","layer":4},{"info":"compute unary expreesion, input=1006, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-147882","layer":3},{"info":"number node, value=1294","layer":4},{"info":"compute unary expreesion, input=1294, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3882","layer":3},{"info":"compute binary expreesion, left_input=-147882, right_input=-3882, 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 unary expreesion, input=-1, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=147","layer":1},{"info":"number node, value=1179","layer":4},{"info":"compute unary expreesion, input=1179, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=1","layer":2},{"info":"compute unary expreesion, input=1, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=147, right_input=177, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=37600","layer":0}],"base":2,"result_base":2,"text":"(⪝⪂⫅(⪝⪂⫅≮⫘↔1111101110)⪘⫢(⊄⩳↩≮⫘↔10100001110))≎⊠⪸((⨵≀≌(⊙↵-≮⫘↔10010011011))∸)=≮⫘↔1001001011100000","reverse_text":"≮⫘↔1001001011100000=(⪝⪂⫅(⪝⪂⫅≮⫘↔1111101110)⪘⫢(⊄⩳↩≮⫘↔10100001110))≎⊠⪸((⨵≀≌(⊙↵-≮⫘↔10010011011))∸)","cot":[{"info":"⪝⪂⫅≮⫘↔1111101110=≮⫘↔-100100000110101010","layer":3},{"info":"⊄⩳↩≮⫘↔10100001110=≮⫘↔-111100101010","layer":3},{"info":"≮⫘↔-100100000110101010⪘⫢≮⫘↔-111100101010=≮⫘↔-1","layer":2},{"info":"⪝⪂⫅≮⫘↔-1=≮⫘↔10010011","layer":1},{"info":"⊙↵-≮⫘↔10010011011=≮⫘↔-1","layer":3},{"info":"⨵≀≌≮⫘↔-1=≮⫘↔1","layer":2},{"info":"≮⫘↔1∸=≮⫘↔10110001","layer":1},{"info":"≮⫘↔10010011≎⊠⪸≮⫘↔10110001=≮⫘↔1001001011100000","layer":0}]}
{"id":191,"expression_no_base_symbol":"≦∁(((⩦⩻⨪$1055$)≫≃)≦≮≮)","expression":"≦∁(((⩦⩻⨪≮⫘↔10000011111)≫≃)≦≮≮)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":73,"operation_count":4,"complexity_ratio":18.25,"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":2}}}}},"used_operators":["9ICcGScMcE","D4vGDi5EA2","X99M06cbEe","2td37pGCOC"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1055","layer":4},{"info":"compute unary expreesion, input=1055, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1055","layer":3},{"info":"compute unary expreesion, input=1055, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3511","layer":2},{"info":"compute unary expreesion, input=3511, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-10533","layer":1},{"info":"compute unary expreesion, input=-10533, 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":2,"result_base":2,"text":"≦∁(((⩦⩻⨪≮⫘↔10000011111)≫≃)≦≮≮)=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=≦∁(((⩦⩻⨪≮⫘↔10000011111)≫≃)≦≮≮)","cot":[{"info":"⩦⩻⨪≮⫘↔10000011111=≮⫘↔10000011111","layer":3},{"info":"≮⫘↔10000011111≫≃=≮⫘↔110110110111","layer":2},{"info":"≮⫘↔110110110111≦≮≮=≮⫘↔-10100100100101","layer":1},{"info":"≦∁≮⫘↔-10100100100101=≮⫘↔1000011","layer":0}]}
{"id":192,"expression_no_base_symbol":"(⨑⩽⪐(($2727$+$1132$)⫩⊇))⩷∴(⩦⩻⨪(⪲⇎$5911$⪢$2256$))","expression":"(⨑⩽⪐((≮⫘↔101010100111+≮⫘↔10001101100)⫩⊇))⩷∴(⩦⩻⨪(⪲⇎≮⫘↔1011100010111⪢≮⫘↔100011010000))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2833,"operation_count":7,"complexity_ratio":404.7142857142857,"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":2727,"base":2},"right_expr":{"type":"numeric_atoms","value":1132,"base":2}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5911,"base":2},"right_expr":{"type":"numeric_atoms","value":2256,"base":2}}}}},"used_operators":["9FxExcQeMw","AF7qkfDlqP","BjRHVeLaeN","W4YGzv6Whe","2td37pGCOC","XPYlsWDdGa","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2727","layer":4},{"info":"number node, value=1132","layer":4},{"info":"compute binary expreesion, left_input=2727, right_input=1132, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3859","layer":3},{"info":"compute unary expreesion, input=3859, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3817","layer":2},{"info":"compute unary expreesion, input=-3817, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=8423","layer":1},{"info":"number node, value=5911","layer":4},{"info":"number node, value=2256","layer":4},{"info":"compute binary expreesion, left_input=5911, right_input=2256, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=8423, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨑⩽⪐((≮⫘↔101010100111+≮⫘↔10001101100)⫩⊇))⩷∴(⩦⩻⨪(⪲⇎≮⫘↔1011100010111⪢≮⫘↔100011010000))=NaN","reverse_text":"NaN=(⨑⩽⪐((≮⫘↔101010100111+≮⫘↔10001101100)⫩⊇))⩷∴(⩦⩻⨪(⪲⇎≮⫘↔1011100010111⪢≮⫘↔100011010000))","cot":[{"info":"≮⫘↔101010100111+≮⫘↔10001101100=≮⫘↔111100010011","layer":3},{"info":"≮⫘↔111100010011⫩⊇=≮⫘↔-111011101001","layer":2},{"info":"⨑⩽⪐≮⫘↔-111011101001=≮⫘↔10000011100111","layer":1},{"info":"≮⫘↔1011100010111⪢≮⫘↔100011010000=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"≮⫘↔10000011100111⩷∴NaN=NaN","layer":0}]}
{"id":193,"expression_no_base_symbol":"⨵≀≌(($1719$⨪↰⇹$3322$⪠⩆⊳)⋷(⩦⩻⨪$3135$⨟⋌⩍$2106$))","expression":"⨵≀≌((≮⫘↔11010110111⨪↰⇹≮⫘↔110011111010⪠⩆⊳)⋷(⩦⩻⨪≮⫘↔110000111111⨟⋌⩍≮⫘↔100000111010))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1737,"operation_count":6,"complexity_ratio":289.5,"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":1719,"base":2},"right_expr":{"type":"numeric_atoms","value":3322,"base":2}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3135,"base":2},"right_expr":{"type":"numeric_atoms","value":2106,"base":2}}}}},"used_operators":["srAu1WTS94","23Mk6UjR3U","JLbD19bQDL","tmPS8pqC7x","2td37pGCOC","rGHVDoGpnC"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1719","layer":4},{"info":"number node, value=3322","layer":4},{"info":"compute binary expreesion, left_input=1719, right_input=3322, 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=1719","layer":3},{"info":"compute unary expreesion, input=1719, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"number node, value=3135","layer":4},{"info":"number node, value=2106","layer":4},{"info":"compute binary expreesion, left_input=3135, right_input=2106, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":1},{"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":0}],"base":2,"result_base":2,"text":"⨵≀≌((≮⫘↔11010110111⨪↰⇹≮⫘↔110011111010⪠⩆⊳)⋷(⩦⩻⨪≮⫘↔110000111111⨟⋌⩍≮⫘↔100000111010))=≮⫘↔0","reverse_text":"≮⫘↔0=⨵≀≌((≮⫘↔11010110111⨪↰⇹≮⫘↔110011111010⪠⩆⊳)⋷(⩦⩻⨪≮⫘↔110000111111⨟⋌⩍≮⫘↔100000111010))","cot":[{"info":"≮⫘↔11010110111⨪↰⇹≮⫘↔110011111010=≮⫘↔11010110111","layer":3},{"info":"≮⫘↔11010110111⪠⩆⊳=≮⫘↔0","layer":2},{"info":"≮⫘↔110000111111⨟⋌⩍≮⫘↔100000111010=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"≮⫘↔0⋷NaN=≮⫘↔0","layer":1},{"info":"⨵≀≌≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":194,"expression_no_base_symbol":"∂((≦∁($2687$+$3007$))⊉≛↸($1722$⫸⊐$2178$/$7036$⋓$6465$))","expression":"∂((≦∁(≮⫘↔101001111111+≮⫘↔101110111111))⊉≛↸(≮⫘↔11010111010⫸⊐≮⫘↔100010000010/≮⫘↔1101101111100⋓≮⫘↔1100101000001))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":43,"operation_count":7,"complexity_ratio":6.142857142857143,"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":2687,"base":2},"right_expr":{"type":"numeric_atoms","value":3007,"base":2}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1722,"base":2},"right_expr":{"type":"numeric_atoms","value":2178,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7036,"base":2},"right_expr":{"type":"numeric_atoms","value":6465,"base":2}}}}},"used_operators":["Uaa54Peajs","DZ8iAZOCBD","9ICcGScMcE","W4YGzv6Whe","XhwjNDsVaA","mqXw5SEYmG","T2fj7uvVaJ"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2687","layer":4},{"info":"number node, value=3007","layer":4},{"info":"compute binary expreesion, left_input=2687, right_input=3007, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5694","layer":3},{"info":"compute unary expreesion, input=5694, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5694","layer":2},{"info":"number node, value=1722","layer":4},{"info":"number node, value=2178","layer":4},{"info":"compute binary expreesion, left_input=1722, right_input=2178, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8587","layer":3},{"info":"number node, value=7036","layer":4},{"info":"number node, value=6465","layer":4},{"info":"compute binary expreesion, left_input=7036, right_input=6465, 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=8587, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5694, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11388","layer":1},{"info":"compute unary expreesion, input=11388, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"∂((≦∁(≮⫘↔101001111111+≮⫘↔101110111111))⊉≛↸(≮⫘↔11010111010⫸⊐≮⫘↔100010000010/≮⫘↔1101101111100⋓≮⫘↔1100101000001))=NaN","reverse_text":"NaN=∂((≦∁(≮⫘↔101001111111+≮⫘↔101110111111))⊉≛↸(≮⫘↔11010111010⫸⊐≮⫘↔100010000010/≮⫘↔1101101111100⋓≮⫘↔1100101000001))","cot":[{"info":"≮⫘↔101001111111+≮⫘↔101110111111=≮⫘↔1011000111110","layer":3},{"info":"≦∁≮⫘↔1011000111110=≮⫘↔1011000111110","layer":2},{"info":"≮⫘↔11010111010⫸⊐≮⫘↔100010000010=≮⫘↔10000110001011","layer":3},{"info":"≮⫘↔1101101111100⋓≮⫘↔1100101000001=≮⫘↔0","layer":3},{"info":"≮⫘↔10000110001011/≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔1011000111110⊉≛↸NaN=≮⫘↔10110001111100","layer":1},{"info":"∂≮⫘↔10110001111100=NaN","layer":0}]}
{"id":195,"expression_no_base_symbol":"(⪝⪂⫅((⊙↵-$6925$)⋷$1317$⋥≓≎$2775$))∑⇟⊟(($1732$⊴$3262$⊦⊿)⨰($6637$*$7614$⨵⪆($2736$⪨≂$2614$)))","expression":"(⪝⪂⫅((⊙↵-≮⫘↔1101100001101)⋷≮⫘↔10100100101⋥≓≎≮⫘↔101011010111))∑⇟⊟((≮⫘↔11011000100⊴≮⫘↔110010111110⊦⊿)⨰(≮⫘↔1100111101101*≮⫘↔1110110111110⨵⪆(≮⫘↔101010110000⪨≂≮⫘↔101000110110)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16906,"operation_count":11,"complexity_ratio":1536.909090909091,"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":6925,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1317,"base":2},"right_expr":{"type":"numeric_atoms","value":2775,"base":2}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1732,"base":2},"right_expr":{"type":"numeric_atoms","value":3262,"base":2}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6637,"base":2},"right_expr":{"type":"numeric_atoms","value":7614,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2736,"base":2},"right_expr":{"type":"numeric_atoms","value":2614,"base":2}}}}},"used_operators":["U7g4x0WXJJ","XTarYq4gQB","23Mk6UjR3U","oWn0xqSxBt","Qy55tPpLXF","eewbuw0ToL","14qkJME0vr","Nsiff2A1zJ","2DQ55sFlQl","9HNa5Wba9A","sdazOOVcIp"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6925","layer":4},{"info":"compute unary expreesion, input=6925, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1317","layer":4},{"info":"number node, value=2775","layer":4},{"info":"compute binary expreesion, left_input=1317, right_input=2775, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4266","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=4266, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2","layer":2},{"info":"compute unary expreesion, input=2, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-294","layer":1},{"info":"number node, value=1732","layer":4},{"info":"number node, value=3262","layer":4},{"info":"compute binary expreesion, left_input=1732, right_input=3262, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=6637","layer":4},{"info":"number node, value=7614","layer":4},{"info":"compute binary expreesion, left_input=6637, right_input=7614, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=50534118","layer":3},{"info":"number node, value=2736","layer":4},{"info":"number node, value=2614","layer":4},{"info":"compute binary expreesion, left_input=2736, right_input=2614, 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=346","layer":3},{"info":"compute binary expreesion, left_input=50534118, right_input=346, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-294, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⪝⪂⫅((⊙↵-≮⫘↔1101100001101)⋷≮⫘↔10100100101⋥≓≎≮⫘↔101011010111))∑⇟⊟((≮⫘↔11011000100⊴≮⫘↔110010111110⊦⊿)⨰(≮⫘↔1100111101101*≮⫘↔1110110111110⨵⪆(≮⫘↔101010110000⪨≂≮⫘↔101000110110)))=NaN","reverse_text":"NaN=(⪝⪂⫅((⊙↵-≮⫘↔1101100001101)⋷≮⫘↔10100100101⋥≓≎≮⫘↔101011010111))∑⇟⊟((≮⫘↔11011000100⊴≮⫘↔110010111110⊦⊿)⨰(≮⫘↔1100111101101*≮⫘↔1110110111110⨵⪆(≮⫘↔101010110000⪨≂≮⫘↔101000110110)))","cot":[{"info":"⊙↵-≮⫘↔1101100001101=≮⫘↔-1","layer":3},{"info":"≮⫘↔10100100101⋥≓≎≮⫘↔101011010111=≮⫘↔1000010101010","layer":3},{"info":"≮⫘↔-1⋷≮⫘↔1000010101010=≮⫘↔10","layer":2},{"info":"⪝⪂⫅≮⫘↔10=≮⫘↔-100100110","layer":1},{"info":"≮⫘↔11011000100⊴≮⫘↔110010111110=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"≮⫘↔1100111101101*≮⫘↔1110110111110=≮⫘↔11000000110001011011100110","layer":3},{"info":"≮⫘↔101010110000⪨≂≮⫘↔101000110110=≮⫘↔101011010","layer":3},{"info":"≮⫘↔11000000110001011011100110⨵⪆≮⫘↔101011010=≮⫘↔10100000","layer":2},{"info":"NaN⨰≮⫘↔10100000=NaN","layer":1},{"info":"≮⫘↔-100100110∑⇟⊟NaN=NaN","layer":0}]}
{"id":196,"expression_no_base_symbol":"(↽≂($4049$⪨≂$1442$)⪮%⊝($6365$⪛$2197$))⨪↰⇹((⨵≀≌$4156$∑⇟⊟$2514$)∑⇟⊟((⊙↵-$1427$)-($4290$⊪)))","expression":"(↽≂(≮⫘↔111111010001⪨≂≮⫘↔10110100010)⪮%⊝(≮⫘↔1100011011101⪛≮⫘↔100010010101))⨪↰⇹((⨵≀≌≮⫘↔1000000111100∑⇟⊟≮⫘↔100111010010)∑⇟⊟((⊙↵-≮⫘↔10110010011)-(≮⫘↔1000011000010⊪)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23430,"operation_count":11,"complexity_ratio":2130.0,"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":4049,"base":2},"right_expr":{"type":"numeric_atoms","value":1442,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6365,"base":2},"right_expr":{"type":"numeric_atoms","value":2197,"base":2}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4156,"base":2},"right_expr":{"type":"numeric_atoms","value":2514,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1427,"base":2}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4290,"base":2}}}}},"used_operators":["tmPS8pqC7x","u6S6b8DprG","IWmyXbctLI","sdazOOVcIp","uFcxV4UQCh","U7g4x0WXJJ","srAu1WTS94","rysDP5nf3Z","oWn0xqSxBt","zVYPLywUTj"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"≮⫘↔-101010110001000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4049","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=4049, right_input=1442, 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=5316","layer":3},{"info":"number node, value=6365","layer":4},{"info":"number node, value=2197","layer":4},{"info":"compute binary expreesion, left_input=6365, right_input=2197, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1971","layer":3},{"info":"compute binary expreesion, left_input=5316, right_input=1971, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10948","layer":2},{"info":"compute unary expreesion, input=10948, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-21896","layer":1},{"info":"number node, value=4156","layer":4},{"info":"number node, value=2514","layer":4},{"info":"compute binary expreesion, left_input=4156, right_input=2514, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"number node, value=1427","layer":4},{"info":"compute unary expreesion, input=1427, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=4290","layer":4},{"info":"compute unary expreesion, input=4290, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, 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=-21896, 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=-21896","layer":0}],"base":2,"result_base":2,"text":"(↽≂(≮⫘↔111111010001⪨≂≮⫘↔10110100010)⪮%⊝(≮⫘↔1100011011101⪛≮⫘↔100010010101))⨪↰⇹((⨵≀≌≮⫘↔1000000111100∑⇟⊟≮⫘↔100111010010)∑⇟⊟((⊙↵-≮⫘↔10110010011)-(≮⫘↔1000011000010⊪)))=≮⫘↔-101010110001000","reverse_text":"≮⫘↔-101010110001000=(↽≂(≮⫘↔111111010001⪨≂≮⫘↔10110100010)⪮%⊝(≮⫘↔1100011011101⪛≮⫘↔100010010101))⨪↰⇹((⨵≀≌≮⫘↔1000000111100∑⇟⊟≮⫘↔100111010010)∑⇟⊟((⊙↵-≮⫘↔10110010011)-(≮⫘↔1000011000010⊪)))","cot":[{"info":"≮⫘↔111111010001⪨≂≮⫘↔10110100010=≮⫘↔1010011000100","layer":3},{"info":"≮⫘↔1100011011101⪛≮⫘↔100010010101=≮⫘↔11110110011","layer":3},{"info":"≮⫘↔1010011000100⪮%⊝≮⫘↔11110110011=≮⫘↔10101011000100","layer":2},{"info":"↽≂≮⫘↔10101011000100=≮⫘↔-101010110001000","layer":1},{"info":"≮⫘↔1000000111100∑⇟⊟≮⫘↔100111010010=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"⊙↵-≮⫘↔10110010011=≮⫘↔-1","layer":3},{"info":"≮⫘↔1000011000010⊪=≮⫘↔0","layer":3},{"info":"≮⫘↔-1-≮⫘↔0=≮⫘↔-1","layer":2},{"info":"NaN∑⇟⊟≮⫘↔-1=NaN","layer":1},{"info":"≮⫘↔-101010110001000⨪↰⇹NaN=≮⫘↔-101010110001000","layer":0}]}
{"id":197,"expression_no_base_symbol":"↯⪼(↩($3027$⊘)⋓$2026$↬$1406$)","expression":"↯⪼(↩(≮⫘↔101111010011⊘)⋓≮⫘↔11111101010↬≮⫘↔10101111110)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":83,"operation_count":5,"complexity_ratio":16.6,"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":3027,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2026,"base":2},"right_expr":{"type":"numeric_atoms","value":1406,"base":2}}}}},"used_operators":["8jW3W4yZS5","jLgFTUHLKL","T2fj7uvVaJ","gu96TGCTMs","B5M0gjZbta"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rGHVDoGpnC"],"result":"≮⫘↔-10101","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=3027","layer":4},{"info":"compute unary expreesion, input=3027, 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=2026","layer":4},{"info":"number node, value=1406","layer":4},{"info":"compute binary expreesion, left_input=2026, right_input=1406, 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 = 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 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 unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":2,"result_base":2,"text":"↯⪼(↩(≮⫘↔101111010011⊘)⋓≮⫘↔11111101010↬≮⫘↔10101111110)=≮⫘↔-10101","reverse_text":"≮⫘↔-10101=↯⪼(↩(≮⫘↔101111010011⊘)⋓≮⫘↔11111101010↬≮⫘↔10101111110)","cot":[{"info":"≮⫘↔101111010011⊘=≮⫘↔0","layer":3},{"info":"≮⫘↔11111101010↬≮⫘↔10101111110=NaN","layer":3},{"info":"≮⫘↔0⋓NaN=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"↯⪼NaN=≮⫘↔-10101","layer":0}]}
{"id":198,"expression_no_base_symbol":"($1866$⪨≂$4862$)⇷($4608$↛⩡⫤)≧⫂∧((↽≂$2031$)∲⫓(⇁⨣⪵$3365$))*($1959$↪⪝)⪘⫢($3340$⨵⪆$2599$)⨰($2680$+⇶⊼$5146$⋷($1546$⊠≄⫣))","expression":"(≮⫘↔11101001010⪨≂≮⫘↔1001011111110)⇷(≮⫘↔1001000000000↛⩡⫤)≧⫂∧((↽≂≮⫘↔11111101111)∲⫓(⇁⨣⪵≮⫘↔110100100101))*(≮⫘↔11110100111↪⪝)⪘⫢(≮⫘↔110100001100⨵⪆≮⫘↔101000100111)⨰(≮⫘↔101001111000+⇶⊼≮⫘↔1010000011010⋷(≮⫘↔11000001010⊠≄⫣))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":97161,"operation_count":15,"complexity_ratio":6477.4,"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":1866,"base":2},"right_expr":{"type":"numeric_atoms","value":4862,"base":2}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":4608,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2031,"base":2}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3365,"base":2}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1959,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3340,"base":2},"right_expr":{"type":"numeric_atoms","value":2599,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2680,"base":2},"right_expr":{"type":"numeric_atoms","value":5146,"base":2}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1546,"base":2}}}}},"used_operators":["9HNa5Wba9A","Ph9nP6C5qx","mp7IySMOzn","sdazOOVcIp","FU0Cs4j7VP","i8ToyICDmI","u6S6b8DprG","inkyxCbjAn","eewbuw0ToL","oacrs7FA3X","l07mrZUIn9","2DQ55sFlQl","23Mk6UjR3U","TpPTUOHfaN","DIvbN7qnHd"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1866","layer":4},{"info":"number node, value=4862","layer":4},{"info":"compute binary expreesion, left_input=1866, right_input=4862, 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=-5890","layer":3},{"info":"number node, value=4608","layer":4},{"info":"compute unary expreesion, input=4608, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-691897","layer":3},{"info":"compute binary expreesion, left_input=-5890, right_input=-691897, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=2031","layer":4},{"info":"compute unary expreesion, input=2031, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4062","layer":3},{"info":"number node, value=3365","layer":4},{"info":"compute unary expreesion, input=3365, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4062, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=1959","layer":4},{"info":"compute unary expreesion, input=1959, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=119855538","layer":3},{"info":"number node, value=3340","layer":4},{"info":"number node, value=2599","layer":4},{"info":"compute binary expreesion, left_input=3340, right_input=2599, 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=119855538, right_input=160, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"number node, value=2680","layer":4},{"info":"number node, value=5146","layer":4},{"info":"compute binary expreesion, left_input=2680, right_input=5146, 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=1546","layer":4},{"info":"compute unary expreesion, input=1546, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, 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=0, 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=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11101001010⪨≂≮⫘↔1001011111110)⇷(≮⫘↔1001000000000↛⩡⫤)≧⫂∧((↽≂≮⫘↔11111101111)∲⫓(⇁⨣⪵≮⫘↔110100100101))*(≮⫘↔11110100111↪⪝)⪘⫢(≮⫘↔110100001100⨵⪆≮⫘↔101000100111)⨰(≮⫘↔101001111000+⇶⊼≮⫘↔1010000011010⋷(≮⫘↔11000001010⊠≄⫣))=NaN","reverse_text":"NaN=(≮⫘↔11101001010⪨≂≮⫘↔1001011111110)⇷(≮⫘↔1001000000000↛⩡⫤)≧⫂∧((↽≂≮⫘↔11111101111)∲⫓(⇁⨣⪵≮⫘↔110100100101))*(≮⫘↔11110100111↪⪝)⪘⫢(≮⫘↔110100001100⨵⪆≮⫘↔101000100111)⨰(≮⫘↔101001111000+⇶⊼≮⫘↔1010000011010⋷(≮⫘↔11000001010⊠≄⫣))","cot":[{"info":"≮⫘↔11101001010⪨≂≮⫘↔1001011111110=≮⫘↔-1011100000010","layer":3},{"info":"≮⫘↔1001000000000↛⩡⫤=≮⫘↔-10101000111010111001","layer":3},{"info":"≮⫘↔-1011100000010⇷≮⫘↔-10101000111010111001=NaN","layer":2},{"info":"↽≂≮⫘↔11111101111=≮⫘↔-111111011110","layer":3},{"info":"⇁⨣⪵≮⫘↔110100100101=NaN","layer":3},{"info":"≮⫘↔-111111011110∲⫓NaN=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"≮⫘↔11110100111↪⪝=≮⫘↔111001001001101100110110010","layer":3},{"info":"≮⫘↔110100001100⨵⪆≮⫘↔101000100111=≮⫘↔10100000","layer":3},{"info":"≮⫘↔111001001001101100110110010⪘⫢≮⫘↔10100000=≮⫘↔0","layer":2},{"info":"≮⫘↔101001111000+⇶⊼≮⫘↔1010000011010=NaN","layer":3},{"info":"≮⫘↔11000001010⊠≄⫣=≮⫘↔0","layer":3},{"info":"NaN⋷≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔0⨰NaN=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":199,"expression_no_base_symbol":"((($1421$≦≮≮)⪨≂(≦∁$7551$))⨁⊸⫻)⫸⊐((⨰⫟⨤($3986$⩠))⇼⇔∾(($7516$⨵⪆$1593$)-$3221$∼$2287$))","expression":"(((≮⫘↔10110001101≦≮≮)⪨≂(≦∁≮⫘↔1110101111111))⨁⊸⫻)⫸⊐((⨰⫟⨤(≮⫘↔111110010010⩠))⇼⇔∾((≮⫘↔1110101011100⨵⪆≮⫘↔11000111001)-≮⫘↔110010010101∼≮⫘↔100011101111))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":997,"operation_count":11,"complexity_ratio":90.63636363636364,"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":1421,"base":2}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":7551,"base":2}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3986,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":7516,"base":2},"right_expr":{"type":"numeric_atoms","value":1593,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3221,"base":2},"right_expr":{"type":"numeric_atoms","value":2287,"base":2}}}}},"used_operators":["mqXw5SEYmG","glklzrTFfD","sdazOOVcIp","D4vGDi5EA2","9ICcGScMcE","tifHPKVTfV","Tw270M8GLb","sJAwomhLZr","rysDP5nf3Z","2DQ55sFlQl","DyGG3AbaNP"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"≮⫘↔1111001000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1421","layer":4},{"info":"compute unary expreesion, input=1421, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4263","layer":3},{"info":"number node, value=7551","layer":4},{"info":"compute unary expreesion, input=7551, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=7551","layer":3},{"info":"compute binary expreesion, left_input=-4263, right_input=7551, 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=-23526","layer":2},{"info":"compute unary expreesion, input=-23526, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-47052","layer":1},{"info":"number node, value=3986","layer":4},{"info":"compute unary expreesion, input=3986, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":2},{"info":"number node, value=7516","layer":4},{"info":"number node, value=1593","layer":4},{"info":"compute binary expreesion, left_input=7516, right_input=1593, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3221","layer":4},{"info":"number node, value=2287","layer":4},{"info":"compute binary expreesion, left_input=3221, right_input=2287, 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=160, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', 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=-47052, 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":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10110001101≦≮≮)⪨≂(≦∁≮⫘↔1110101111111))⨁⊸⫻)⫸⊐((⨰⫟⨤(≮⫘↔111110010010⩠))⇼⇔∾((≮⫘↔1110101011100⨵⪆≮⫘↔11000111001)-≮⫘↔110010010101∼≮⫘↔100011101111))=≮⫘↔1111001000","reverse_text":"≮⫘↔1111001000=(((≮⫘↔10110001101≦≮≮)⪨≂(≦∁≮⫘↔1110101111111))⨁⊸⫻)⫸⊐((⨰⫟⨤(≮⫘↔111110010010⩠))⇼⇔∾((≮⫘↔1110101011100⨵⪆≮⫘↔11000111001)-≮⫘↔110010010101∼≮⫘↔100011101111))","cot":[{"info":"≮⫘↔10110001101≦≮≮=≮⫘↔-1000010100111","layer":3},{"info":"≦∁≮⫘↔1110101111111=≮⫘↔1110101111111","layer":3},{"info":"≮⫘↔-1000010100111⪨≂≮⫘↔1110101111111=≮⫘↔-101101111100110","layer":2},{"info":"≮⫘↔-101101111100110⨁⊸⫻=≮⫘↔-1011011111001100","layer":1},{"info":"≮⫘↔111110010010⩠=≮⫘↔0","layer":3},{"info":"⨰⫟⨤≮⫘↔0=≮⫘↔10001001000110101110110","layer":2},{"info":"≮⫘↔1110101011100⨵⪆≮⫘↔11000111001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔110010010101∼≮⫘↔100011101111=NaN","layer":3},{"info":"≮⫘↔10100000-NaN=NaN","layer":2},{"info":"≮⫘↔10001001000110101110110⇼⇔∾NaN=NaN","layer":1},{"info":"≮⫘↔-1011011111001100⫸⊐NaN=≮⫘↔1111001000","layer":0}]}
{"id":200,"expression_no_base_symbol":"(($1647$⨵⪆$6321$)%$1447$⩨$8090$)⋓(⫛⫱⨽($1611$⋳⪒$5585$))⪨≂(⋗⩬⋾$1095$+⇶⊼$3589$≭$5687$∑⇟⊟$1403$)","expression":"((≮⫘↔11001101111⨵⪆≮⫘↔1100010110001)%≮⫘↔10110100111⩨≮⫘↔1111110011010)⋓(⫛⫱⨽(≮⫘↔11001001011⋳⪒≮⫘↔1010111010001))⪨≂(⋗⩬⋾≮⫘↔10001000111+⇶⊼≮⫘↔111000000101≭≮⫘↔1011000110111∑⇟⊟≮⫘↔10101111011)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1472,"operation_count":11,"complexity_ratio":133.8181818181818,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1647,"base":2},"right_expr":{"type":"numeric_atoms","value":6321,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1447,"base":2},"right_expr":{"type":"numeric_atoms","value":8090,"base":2}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1611,"base":2},"right_expr":{"type":"numeric_atoms","value":5585,"base":2}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1095,"base":2},"right_expr":{"type":"numeric_atoms","value":3589,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5687,"base":2},"right_expr":{"type":"numeric_atoms","value":1403,"base":2}}}}},"used_operators":["sdazOOVcIp","T2fj7uvVaJ","k8jYdgA6NY","2DQ55sFlQl","2DlMacCsIx","DlLNRPXxWL","12rbrZMWeM","DpFCA1CohY","rxpJgHHUmx","TpPTUOHfaN","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1647","layer":4},{"info":"number node, value=6321","layer":4},{"info":"compute binary expreesion, left_input=1647, right_input=6321, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1447","layer":4},{"info":"number node, value=8090","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=8090, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-15","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-15, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-5","layer":2},{"info":"number node, value=1611","layer":4},{"info":"number node, value=5585","layer":4},{"info":"compute binary expreesion, left_input=1611, right_input=5585, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2650","layer":3},{"info":"compute unary expreesion, input=-2650, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-5, 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":1},{"info":"number node, value=1095","layer":4},{"info":"number node, value=3589","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=3589, 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=5687","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=5687, right_input=1403, 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 = 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 = 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=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":2,"result_base":2,"text":"((≮⫘↔11001101111⨵⪆≮⫘↔1100010110001)%≮⫘↔10110100111⩨≮⫘↔1111110011010)⋓(⫛⫱⨽(≮⫘↔11001001011⋳⪒≮⫘↔1010111010001))⪨≂(⋗⩬⋾≮⫘↔10001000111+⇶⊼≮⫘↔111000000101≭≮⫘↔1011000110111∑⇟⊟≮⫘↔10101111011)=NaN","reverse_text":"NaN=((≮⫘↔11001101111⨵⪆≮⫘↔1100010110001)%≮⫘↔10110100111⩨≮⫘↔1111110011010)⋓(⫛⫱⨽(≮⫘↔11001001011⋳⪒≮⫘↔1010111010001))⪨≂(⋗⩬⋾≮⫘↔10001000111+⇶⊼≮⫘↔111000000101≭≮⫘↔1011000110111∑⇟⊟≮⫘↔10101111011)","cot":[{"info":"≮⫘↔11001101111⨵⪆≮⫘↔1100010110001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10110100111⩨≮⫘↔1111110011010=≮⫘↔-1111","layer":3},{"info":"≮⫘↔10100000%≮⫘↔-1111=≮⫘↔-101","layer":2},{"info":"≮⫘↔11001001011⋳⪒≮⫘↔1010111010001=≮⫘↔-101001011010","layer":3},{"info":"⫛⫱⨽≮⫘↔-101001011010=≮⫘↔0","layer":2},{"info":"≮⫘↔-101⋓≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔10001000111+⇶⊼≮⫘↔111000000101=NaN","layer":3},{"info":"≮⫘↔1011000110111∑⇟⊟≮⫘↔10101111011=NaN","layer":3},{"info":"NaN≭NaN=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"≮⫘↔0⪨≂NaN=NaN","layer":0}]}
{"id":201,"expression_no_base_symbol":"(($1224$≭$5762$-($1223$⨵⪆$2613$))↙($1436$↛⩡⫤)↬($4269$⩚⊴⇥$2022$))⋳⪒(↩(↩($2549$⫡⨏$6607$)))","expression":"((≮⫘↔10011001000≭≮⫘↔1011010000010-(≮⫘↔10011000111⨵⪆≮⫘↔101000110101))↙(≮⫘↔10110011100↛⩡⫤)↬(≮⫘↔1000010101101⩚⊴⇥≮⫘↔11111100110))⋳⪒(↩(↩(≮⫘↔100111110101⫡⨏≮⫘↔1100111001111)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4500,"operation_count":11,"complexity_ratio":409.09090909090907,"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":1224,"base":2},"right_expr":{"type":"numeric_atoms","value":5762,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1223,"base":2},"right_expr":{"type":"numeric_atoms","value":2613,"base":2}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1436,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4269,"base":2},"right_expr":{"type":"numeric_atoms","value":2022,"base":2}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2549,"base":2},"right_expr":{"type":"numeric_atoms","value":6607,"base":2}}}}},"used_operators":["12rbrZMWeM","yyfyN0ffXY","rysDP5nf3Z","rxpJgHHUmx","2DQ55sFlQl","B5M0gjZbta","FU0Cs4j7VP","NTOWxs364D","jLgFTUHLKL","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1224","layer":4},{"info":"number node, value=5762","layer":4},{"info":"compute binary expreesion, left_input=1224, right_input=5762, 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=1223","layer":4},{"info":"number node, value=2613","layer":4},{"info":"compute binary expreesion, left_input=1223, right_input=2613, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1436","layer":4},{"info":"compute unary expreesion, input=1436, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-212925","layer":3},{"info":"number node, value=4269","layer":4},{"info":"number node, value=2022","layer":4},{"info":"compute binary expreesion, left_input=4269, right_input=2022, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6412","layer":3},{"info":"compute binary expreesion, left_input=-212925, right_input=-6412, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=2549","layer":4},{"info":"number node, value=6607","layer":4},{"info":"compute binary expreesion, left_input=2549, right_input=6607, 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=26742","layer":3},{"info":"compute unary expreesion, input=26742, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-211156","layer":2},{"info":"compute unary expreesion, input=-211156, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=847244","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=847244, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10011001000≭≮⫘↔1011010000010-(≮⫘↔10011000111⨵⪆≮⫘↔101000110101))↙(≮⫘↔10110011100↛⩡⫤)↬(≮⫘↔1000010101101⩚⊴⇥≮⫘↔11111100110))⋳⪒(↩(↩(≮⫘↔100111110101⫡⨏≮⫘↔1100111001111)))=NaN","reverse_text":"NaN=((≮⫘↔10011001000≭≮⫘↔1011010000010-(≮⫘↔10011000111⨵⪆≮⫘↔101000110101))↙(≮⫘↔10110011100↛⩡⫤)↬(≮⫘↔1000010101101⩚⊴⇥≮⫘↔11111100110))⋳⪒(↩(↩(≮⫘↔100111110101⫡⨏≮⫘↔1100111001111)))","cot":[{"info":"≮⫘↔10011001000≭≮⫘↔1011010000010=NaN","layer":3},{"info":"≮⫘↔10011000111⨵⪆≮⫘↔101000110101=≮⫘↔10100000","layer":3},{"info":"NaN-≮⫘↔10100000=NaN","layer":2},{"info":"≮⫘↔10110011100↛⩡⫤=≮⫘↔-110011111110111101","layer":3},{"info":"≮⫘↔1000010101101⩚⊴⇥≮⫘↔11111100110=≮⫘↔-1100100001100","layer":3},{"info":"≮⫘↔-110011111110111101↬≮⫘↔-1100100001100=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"≮⫘↔100111110101⫡⨏≮⫘↔1100111001111=≮⫘↔110100001110110","layer":3},{"info":"↩≮⫘↔110100001110110=≮⫘↔-110011100011010100","layer":2},{"info":"↩≮⫘↔-110011100011010100=≮⫘↔11001110110110001100","layer":1},{"info":"NaN⋳⪒≮⫘↔11001110110110001100=NaN","layer":0}]}
{"id":202,"expression_no_base_symbol":"⇁⨣⪵($2482$⨰$6513$↺$4015$⇷$1580$)⪮%⊝(($3627$∲⫓$1389$)⫩⊇)","expression":"⇁⨣⪵(≮⫘↔100110110010⨰≮⫘↔1100101110001↺≮⫘↔111110101111⇷≮⫘↔11000101100)⪮%⊝((≮⫘↔111000101011∲⫓≮⫘↔10101101101)⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":56238,"operation_count":7,"complexity_ratio":8034.0,"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":2482,"base":2},"right_expr":{"type":"numeric_atoms","value":6513,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4015,"base":2},"right_expr":{"type":"numeric_atoms","value":1580,"base":2}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3627,"base":2},"right_expr":{"type":"numeric_atoms","value":1389,"base":2}}}}},"used_operators":["inkyxCbjAn","IWmyXbctLI","7j4O788W3g","eewbuw0ToL","mp7IySMOzn","BjRHVeLaeN","i8ToyICDmI"],"dependent_operators":["B5M0gjZbta","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2482","layer":4},{"info":"number node, value=6513","layer":4},{"info":"compute binary expreesion, left_input=2482, right_input=6513, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4021","layer":3},{"info":"number node, value=4015","layer":4},{"info":"number node, value=1580","layer":4},{"info":"compute binary expreesion, left_input=4015, right_input=1580, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3160","layer":3},{"info":"compute binary expreesion, left_input=-4021, right_input=3160, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3160","layer":2},{"info":"number node, value=3627","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=3627, right_input=1389, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=42","layer":2},{"info":"compute binary expreesion, left_input=3160, right_input=42, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6636","layer":1},{"info":"compute unary expreesion, input=6636, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⇁⨣⪵(≮⫘↔100110110010⨰≮⫘↔1100101110001↺≮⫘↔111110101111⇷≮⫘↔11000101100)⪮%⊝((≮⫘↔111000101011∲⫓≮⫘↔10101101101)⫩⊇)=NaN","reverse_text":"NaN=⇁⨣⪵(≮⫘↔100110110010⨰≮⫘↔1100101110001↺≮⫘↔111110101111⇷≮⫘↔11000101100)⪮%⊝((≮⫘↔111000101011∲⫓≮⫘↔10101101101)⫩⊇)","cot":[{"info":"≮⫘↔100110110010⨰≮⫘↔1100101110001=≮⫘↔-111110110101","layer":3},{"info":"≮⫘↔111110101111⇷≮⫘↔11000101100=≮⫘↔110001011000","layer":3},{"info":"≮⫘↔-111110110101↺≮⫘↔110001011000=≮⫘↔110001011000","layer":2},{"info":"≮⫘↔111000101011∲⫓≮⫘↔10101101101=≮⫘↔0","layer":3},{"info":"≮⫘↔0⫩⊇=≮⫘↔101010","layer":2},{"info":"≮⫘↔110001011000⪮%⊝≮⫘↔101010=≮⫘↔1100111101100","layer":1},{"info":"⇁⨣⪵≮⫘↔1100111101100=NaN","layer":0}]}
{"id":203,"expression_no_base_symbol":"(+⊝⨔($6338$⨪↰⇹$5550$↛⩡⫤))⨓(($4777$↙$9260$)⪘⫢($4169$⨽$1519$)-(⊙↵-$6781$)⪒$7044$+⇶⊼$1253$)","expression":"(+⊝⨔(≮⫘↔1100011000010⨪↰⇹≮⫘↔1010110101110↛⩡⫤))⨓((≮⫘↔1001010101001↙≮⫘↔10010000101100)⪘⫢(≮⫘↔1000001001001⨽≮⫘↔10111101111)-(⊙↵-≮⫘↔1101001111101)⪒≮⫘↔1101110000100+⇶⊼≮⫘↔10011100101)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":45795,"operation_count":11,"complexity_ratio":4163.181818181818,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6338,"base":2},"right_expr":{"type":"numeric_atoms","value":5550,"base":2}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4777,"base":2},"right_expr":{"type":"numeric_atoms","value":9260,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4169,"base":2},"right_expr":{"type":"numeric_atoms","value":1519,"base":2}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":6781,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7044,"base":2},"right_expr":{"type":"numeric_atoms","value":1253,"base":2}}}}},"used_operators":["3ViojmjbAp","DhbWaqg5eL","FU0Cs4j7VP","tmPS8pqC7x","rysDP5nf3Z","oacrs7FA3X","yyfyN0ffXY","8HhzD0ZcuI","f6k1SAg4EE","oWn0xqSxBt","TpPTUOHfaN"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6338","layer":4},{"info":"number node, value=5550","layer":4},{"info":"compute binary expreesion, left_input=6338, right_input=5550, 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=6338","layer":3},{"info":"compute unary expreesion, input=6338, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-953127","layer":2},{"info":"compute unary expreesion, input=-953127, 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=4777","layer":4},{"info":"number node, value=9260","layer":4},{"info":"compute binary expreesion, left_input=4777, right_input=9260, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-27780","layer":3},{"info":"number node, value=4169","layer":4},{"info":"number node, value=1519","layer":4},{"info":"compute binary expreesion, left_input=4169, right_input=1519, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-52144926","layer":3},{"info":"compute binary expreesion, left_input=-27780, right_input=-52144926, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"number node, value=6781","layer":4},{"info":"compute unary expreesion, input=6781, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=7044","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=7044, right_input=1253, 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=-1, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(+⊝⨔(≮⫘↔1100011000010⨪↰⇹≮⫘↔1010110101110↛⩡⫤))⨓((≮⫘↔1001010101001↙≮⫘↔10010000101100)⪘⫢(≮⫘↔1000001001001⨽≮⫘↔10111101111)-(⊙↵-≮⫘↔1101001111101)⪒≮⫘↔1101110000100+⇶⊼≮⫘↔10011100101)=NaN","reverse_text":"NaN=(+⊝⨔(≮⫘↔1100011000010⨪↰⇹≮⫘↔1010110101110↛⩡⫤))⨓((≮⫘↔1001010101001↙≮⫘↔10010000101100)⪘⫢(≮⫘↔1000001001001⨽≮⫘↔10111101111)-(⊙↵-≮⫘↔1101001111101)⪒≮⫘↔1101110000100+⇶⊼≮⫘↔10011100101)","cot":[{"info":"≮⫘↔1100011000010⨪↰⇹≮⫘↔1010110101110=≮⫘↔1100011000010","layer":3},{"info":"≮⫘↔1100011000010↛⩡⫤=≮⫘↔-11101000101100100111","layer":2},{"info":"+⊝⨔≮⫘↔-11101000101100100111=≮⫘↔10111110010","layer":1},{"info":"≮⫘↔1001010101001↙≮⫘↔10010000101100=≮⫘↔-110110010000100","layer":3},{"info":"≮⫘↔1000001001001⨽≮⫘↔10111101111=≮⫘↔-11000110111010101100011110","layer":3},{"info":"≮⫘↔-110110010000100⪘⫢≮⫘↔-11000110111010101100011110=≮⫘↔-1","layer":2},{"info":"⊙↵-≮⫘↔1101001111101=≮⫘↔-1","layer":3},{"info":"≮⫘↔1101110000100+⇶⊼≮⫘↔10011100101=NaN","layer":3},{"info":"≮⫘↔-1⪒NaN=NaN","layer":2},{"info":"≮⫘↔-1-NaN=NaN","layer":1},{"info":"≮⫘↔10111110010⨓NaN=NaN","layer":0}]}
{"id":204,"expression_no_base_symbol":"(∥⊫$1039$⩷∴$3423$↙(⩦⩻⨪$3704$))⨪↰⇹(⪲⇎((⪝⪂⫅$1820$)≦≮≮))","expression":"(∥⊫≮⫘↔10000001111⩷∴≮⫘↔110101011111↙(⩦⩻⨪≮⫘↔111001111000))⨪↰⇹(⪲⇎((⪝⪂⫅≮⫘↔11100011100)≦≮≮))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":223,"operation_count":8,"complexity_ratio":27.875,"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":1039,"base":2},"right_expr":{"type":"numeric_atoms","value":3423,"base":2}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3704,"base":2}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1820,"base":2}}}}},"used_operators":["tmPS8pqC7x","P8v4zCKN1o","yyfyN0ffXY","9FxExcQeMw","2td37pGCOC","XPYlsWDdGa","D4vGDi5EA2","XTarYq4gQB"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"≮⫘↔110111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1039","layer":4},{"info":"number node, value=3423","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=3423, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4800","layer":3},{"info":"number node, value=3704","layer":4},{"info":"compute unary expreesion, input=3704, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3704","layer":3},{"info":"compute binary expreesion, left_input=-4800, right_input=3704, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4800","layer":2},{"info":"compute unary expreesion, input=-4800, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":1},{"info":"number node, value=1820","layer":4},{"info":"compute unary expreesion, input=1820, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-267540","layer":3},{"info":"compute unary expreesion, input=-267540, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=802620","layer":2},{"info":"compute unary expreesion, input=802620, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=1605240","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=1605240, 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=55","layer":0}],"base":2,"result_base":2,"text":"(∥⊫≮⫘↔10000001111⩷∴≮⫘↔110101011111↙(⩦⩻⨪≮⫘↔111001111000))⨪↰⇹(⪲⇎((⪝⪂⫅≮⫘↔11100011100)≦≮≮))=≮⫘↔110111","reverse_text":"≮⫘↔110111=(∥⊫≮⫘↔10000001111⩷∴≮⫘↔110101011111↙(⩦⩻⨪≮⫘↔111001111000))⨪↰⇹(⪲⇎((⪝⪂⫅≮⫘↔11100011100)≦≮≮))","cot":[{"info":"≮⫘↔10000001111⩷∴≮⫘↔110101011111=≮⫘↔-1001011000000","layer":3},{"info":"⩦⩻⨪≮⫘↔111001111000=≮⫘↔111001111000","layer":3},{"info":"≮⫘↔-1001011000000↙≮⫘↔111001111000=≮⫘↔-1001011000000","layer":2},{"info":"∥⊫≮⫘↔-1001011000000=≮⫘↔-110111","layer":1},{"info":"⪝⪂⫅≮⫘↔11100011100=≮⫘↔-1000001010100010100","layer":3},{"info":"≮⫘↔-1000001010100010100≦≮≮=≮⫘↔11000011111100111100","layer":2},{"info":"⪲⇎≮⫘↔11000011111100111100=≮⫘↔110000111111001111000","layer":1},{"info":"≮⫘↔-110111⨪↰⇹≮⫘↔110000111111001111000=≮⫘↔110111","layer":0}]}
{"id":205,"expression_no_base_symbol":"$2805$⇷$1345$≎⊠⪸($6019$⊭↱$4491$)⨸⪁$3141$∑⇟⊟$1496$⋳⪒($5574$⩤)↛⩡⫤","expression":"≮⫘↔101011110101⇷≮⫘↔10101000001≎⊠⪸(≮⫘↔1011110000011⊭↱≮⫘↔1000110001011)⨸⪁≮⫘↔110001000101∑⇟⊟≮⫘↔10111011000⋳⪒(≮⫘↔1010111000110⩤)↛⩡⫤","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":39368,"operation_count":8,"complexity_ratio":4921.0,"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":2805,"base":2},"right_expr":{"type":"numeric_atoms","value":1345,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6019,"base":2},"right_expr":{"type":"numeric_atoms","value":4491,"base":2}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3141,"base":2},"right_expr":{"type":"numeric_atoms","value":1496,"base":2}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":5574,"base":2}}}}},"used_operators":["FU0Cs4j7VP","g55IO6H4Gj","bJkvcejdHO","mp7IySMOzn","COABgblf1C","12rbrZMWeM","U7g4x0WXJJ","Z2TMIBDE3Q"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2805","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=2805, right_input=1345, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2690","layer":3},{"info":"number node, value=6019","layer":4},{"info":"number node, value=4491","layer":4},{"info":"compute binary expreesion, left_input=6019, right_input=4491, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3051","layer":3},{"info":"compute binary expreesion, left_input=2690, right_input=-3051, 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=3141","layer":4},{"info":"number node, value=1496","layer":4},{"info":"compute binary expreesion, left_input=3141, right_input=1496, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=5574","layer":4},{"info":"compute unary expreesion, input=5574, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5574","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5574, 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=67, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"≮⫘↔101011110101⇷≮⫘↔10101000001≎⊠⪸(≮⫘↔1011110000011⊭↱≮⫘↔1000110001011)⨸⪁≮⫘↔110001000101∑⇟⊟≮⫘↔10111011000⋳⪒(≮⫘↔1010111000110⩤)↛⩡⫤=NaN","reverse_text":"NaN=≮⫘↔101011110101⇷≮⫘↔10101000001≎⊠⪸(≮⫘↔1011110000011⊭↱≮⫘↔1000110001011)⨸⪁≮⫘↔110001000101∑⇟⊟≮⫘↔10111011000⋳⪒(≮⫘↔1010111000110⩤)↛⩡⫤","cot":[{"info":"≮⫘↔101011110101⇷≮⫘↔10101000001=≮⫘↔101010000010","layer":3},{"info":"≮⫘↔1011110000011⊭↱≮⫘↔1000110001011=≮⫘↔-101111101011","layer":3},{"info":"≮⫘↔101010000010≎⊠⪸≮⫘↔-101111101011=≮⫘↔1000011","layer":2},{"info":"≮⫘↔110001000101∑⇟⊟≮⫘↔10111011000=NaN","layer":3},{"info":"≮⫘↔1010111000110⩤=≮⫘↔-1010111000110","layer":3},{"info":"NaN⋳⪒≮⫘↔-1010111000110=NaN","layer":2},{"info":"≮⫘↔1000011⨸⪁NaN=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":206,"expression_no_base_symbol":"($5507$⨵⪆$2471$)↬$3966$∼$1324$≧⫂∧(($4969$⨸⪁$5264$)≫≃)⋷(($3618$⪘⫢$3575$)⨪↰⇹(∂$5490$)⊠≄⫣)","expression":"(≮⫘↔1010110000011⨵⪆≮⫘↔100110100111)↬≮⫘↔111101111110∼≮⫘↔10100101100≧⫂∧((≮⫘↔1001101101001⨸⪁≮⫘↔1010010010000)≫≃)⋷((≮⫘↔111000100010⪘⫢≮⫘↔110111110111)⨪↰⇹(∂≮⫘↔1010101110010)⊠≄⫣)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7226,"operation_count":11,"complexity_ratio":656.9090909090909,"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":5507,"base":2},"right_expr":{"type":"numeric_atoms","value":2471,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3966,"base":2},"right_expr":{"type":"numeric_atoms","value":1324,"base":2}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4969,"base":2},"right_expr":{"type":"numeric_atoms","value":5264,"base":2}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3618,"base":2},"right_expr":{"type":"numeric_atoms","value":3575,"base":2}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":5490,"base":2}}}}},"used_operators":["23Mk6UjR3U","Ph9nP6C5qx","B5M0gjZbta","2DQ55sFlQl","DyGG3AbaNP","X99M06cbEe","g55IO6H4Gj","DIvbN7qnHd","tmPS8pqC7x","oacrs7FA3X","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"≮⫘↔-1010001110000100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5507","layer":4},{"info":"number node, value=2471","layer":4},{"info":"compute binary expreesion, left_input=5507, right_input=2471, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3966","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=3966, right_input=1324, 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=160, 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":2},{"info":"number node, value=4969","layer":4},{"info":"number node, value=5264","layer":4},{"info":"compute binary expreesion, left_input=4969, right_input=5264, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20466","layer":3},{"info":"compute unary expreesion, input=20466, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=42333","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=42333, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=41860","layer":1},{"info":"number node, value=3618","layer":4},{"info":"number node, value=3575","layer":4},{"info":"compute binary expreesion, left_input=3618, right_input=3575, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7112","layer":3},{"info":"number node, value=5490","layer":4},{"info":"compute unary expreesion, input=5490, 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=7112, 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=7112","layer":2},{"info":"compute unary expreesion, input=7112, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=41860, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-41860","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1010110000011⨵⪆≮⫘↔100110100111)↬≮⫘↔111101111110∼≮⫘↔10100101100≧⫂∧((≮⫘↔1001101101001⨸⪁≮⫘↔1010010010000)≫≃)⋷((≮⫘↔111000100010⪘⫢≮⫘↔110111110111)⨪↰⇹(∂≮⫘↔1010101110010)⊠≄⫣)=≮⫘↔-1010001110000100","reverse_text":"≮⫘↔-1010001110000100=(≮⫘↔1010110000011⨵⪆≮⫘↔100110100111)↬≮⫘↔111101111110∼≮⫘↔10100101100≧⫂∧((≮⫘↔1001101101001⨸⪁≮⫘↔1010010010000)≫≃)⋷((≮⫘↔111000100010⪘⫢≮⫘↔110111110111)⨪↰⇹(∂≮⫘↔1010101110010)⊠≄⫣)","cot":[{"info":"≮⫘↔1010110000011⨵⪆≮⫘↔100110100111=≮⫘↔10100000","layer":3},{"info":"≮⫘↔111101111110∼≮⫘↔10100101100=NaN","layer":3},{"info":"≮⫘↔10100000↬NaN=NaN","layer":2},{"info":"≮⫘↔1001101101001⨸⪁≮⫘↔1010010010000=≮⫘↔100111111110010","layer":3},{"info":"≮⫘↔100111111110010≫≃=≮⫘↔1010010101011101","layer":2},{"info":"NaN≧⫂∧≮⫘↔1010010101011101=≮⫘↔1010001110000100","layer":1},{"info":"≮⫘↔111000100010⪘⫢≮⫘↔110111110111=≮⫘↔1101111001000","layer":3},{"info":"∂≮⫘↔1010101110010=NaN","layer":3},{"info":"≮⫘↔1101111001000⨪↰⇹NaN=≮⫘↔1101111001000","layer":2},{"info":"≮⫘↔1101111001000⊠≄⫣=≮⫘↔0","layer":1},{"info":"≮⫘↔1010001110000100⋷≮⫘↔0=≮⫘↔-1010001110000100","layer":0}]}
{"id":207,"expression_no_base_symbol":"($4281$⪄$3303$/$4400$↺$2732$)⋥≓≎(($3347$%$3882$)↺(↥$1061$))⪨≂($3467$⇼⇔∾$2503$)∼(⫛⫱⨽$4306$)⨪↰⇹((⪲⇎$3225$)*($6705$⨵⪆$1289$))","expression":"(≮⫘↔1000010111001⪄≮⫘↔110011100111/≮⫘↔1000100110000↺≮⫘↔101010101100)⋥≓≎((≮⫘↔110100010011%≮⫘↔111100101010)↺(↥≮⫘↔10000100101))⪨≂(≮⫘↔110110001011⇼⇔∾≮⫘↔100111000111)∼(⫛⫱⨽≮⫘↔1000011010010)⨪↰⇹((⪲⇎≮⫘↔110010011001)*(≮⫘↔1101000110001⨵⪆≮⫘↔10100001001))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2010,"operation_count":15,"complexity_ratio":134.0,"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":4281,"base":2},"right_expr":{"type":"numeric_atoms","value":3303,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4400,"base":2},"right_expr":{"type":"numeric_atoms","value":2732,"base":2}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3347,"base":2},"right_expr":{"type":"numeric_atoms","value":3882,"base":2}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1061,"base":2}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3467,"base":2},"right_expr":{"type":"numeric_atoms","value":2503,"base":2}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4306,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3225,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6705,"base":2},"right_expr":{"type":"numeric_atoms","value":1289,"base":2}}}}},"used_operators":["sdazOOVcIp","Qy55tPpLXF","XhwjNDsVaA","SUmda5xLS4","7j4O788W3g","k8jYdgA6NY","A8NUZmVepG","tmPS8pqC7x","DyGG3AbaNP","tifHPKVTfV","DlLNRPXxWL","9HNa5Wba9A","XPYlsWDdGa","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","rJVOvQCfKK","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔1011111100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4281","layer":4},{"info":"number node, value=3303","layer":4},{"info":"compute binary expreesion, left_input=4281, right_input=3303, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-642889","layer":3},{"info":"number node, value=4400","layer":4},{"info":"number node, value=2732","layer":4},{"info":"compute binary expreesion, left_input=4400, right_input=2732, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2732","layer":3},{"info":"compute binary expreesion, left_input=-642889, right_input=2732, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-236","layer":2},{"info":"number node, value=3347","layer":4},{"info":"number node, value=3882","layer":4},{"info":"compute binary expreesion, left_input=3347, right_input=3882, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3347","layer":3},{"info":"number node, value=1061","layer":4},{"info":"compute unary expreesion, input=1061, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=41","layer":3},{"info":"compute binary expreesion, left_input=3347, right_input=41, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=41","layer":2},{"info":"compute binary expreesion, left_input=-236, right_input=41, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=351","layer":1},{"info":"number node, value=3467","layer":4},{"info":"number node, value=2503","layer":4},{"info":"compute binary expreesion, left_input=3467, right_input=2503, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-964","layer":3},{"info":"number node, value=4306","layer":4},{"info":"compute unary expreesion, input=4306, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-964, 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=3225","layer":4},{"info":"compute unary expreesion, input=3225, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6450","layer":3},{"info":"number node, value=6705","layer":4},{"info":"number node, value=1289","layer":4},{"info":"compute binary expreesion, left_input=6705, right_input=1289, 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=6450, right_input=160, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1032000","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=1032000, 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=20","layer":1},{"info":"compute binary expreesion, left_input=351, right_input=20, 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=764","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1000010111001⪄≮⫘↔110011100111/≮⫘↔1000100110000↺≮⫘↔101010101100)⋥≓≎((≮⫘↔110100010011%≮⫘↔111100101010)↺(↥≮⫘↔10000100101))⪨≂(≮⫘↔110110001011⇼⇔∾≮⫘↔100111000111)∼(⫛⫱⨽≮⫘↔1000011010010)⨪↰⇹((⪲⇎≮⫘↔110010011001)*(≮⫘↔1101000110001⨵⪆≮⫘↔10100001001))=≮⫘↔1011111100","reverse_text":"≮⫘↔1011111100=(≮⫘↔1000010111001⪄≮⫘↔110011100111/≮⫘↔1000100110000↺≮⫘↔101010101100)⋥≓≎((≮⫘↔110100010011%≮⫘↔111100101010)↺(↥≮⫘↔10000100101))⪨≂(≮⫘↔110110001011⇼⇔∾≮⫘↔100111000111)∼(⫛⫱⨽≮⫘↔1000011010010)⨪↰⇹((⪲⇎≮⫘↔110010011001)*(≮⫘↔1101000110001⨵⪆≮⫘↔10100001001))","cot":[{"info":"≮⫘↔1000010111001⪄≮⫘↔110011100111=≮⫘↔-10011100111101001001","layer":3},{"info":"≮⫘↔1000100110000↺≮⫘↔101010101100=≮⫘↔101010101100","layer":3},{"info":"≮⫘↔-10011100111101001001/≮⫘↔101010101100=≮⫘↔-11101100","layer":2},{"info":"≮⫘↔110100010011%≮⫘↔111100101010=≮⫘↔110100010011","layer":3},{"info":"↥≮⫘↔10000100101=≮⫘↔101001","layer":3},{"info":"≮⫘↔110100010011↺≮⫘↔101001=≮⫘↔101001","layer":2},{"info":"≮⫘↔-11101100⋥≓≎≮⫘↔101001=≮⫘↔101011111","layer":1},{"info":"≮⫘↔110110001011⇼⇔∾≮⫘↔100111000111=≮⫘↔-1111000100","layer":3},{"info":"⫛⫱⨽≮⫘↔1000011010010=≮⫘↔0","layer":3},{"info":"≮⫘↔-1111000100∼≮⫘↔0=≮⫘↔10100","layer":2},{"info":"⪲⇎≮⫘↔110010011001=≮⫘↔1100100110010","layer":3},{"info":"≮⫘↔1101000110001⨵⪆≮⫘↔10100001001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1100100110010*≮⫘↔10100000=≮⫘↔11111011111101000000","layer":2},{"info":"≮⫘↔10100⨪↰⇹≮⫘↔11111011111101000000=≮⫘↔10100","layer":1},{"info":"≮⫘↔101011111⪨≂≮⫘↔10100=≮⫘↔1011111100","layer":0}]}
{"id":208,"expression_no_base_symbol":"((⊙↵-($3757$⩚⊴⇥$6377$))+⇶⊼($1044$∑⇟⊟$2097$⪒$2877$≭$1408$))⪢(($1747$↙$5457$⊠≄⫣)↙($1571$⨰$1988$⊭∹↮))","expression":"((⊙↵-(≮⫘↔111010101101⩚⊴⇥≮⫘↔1100011101001))+⇶⊼(≮⫘↔10000010100∑⇟⊟≮⫘↔100000110001⪒≮⫘↔101100111101≭≮⫘↔10110000000))⪢((≮⫘↔11011010011↙≮⫘↔1010101010001⊠≄⫣)↙(≮⫘↔11000100011⨰≮⫘↔11111000100⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":15768,"operation_count":12,"complexity_ratio":1314.0,"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":3757,"base":2},"right_expr":{"type":"numeric_atoms","value":6377,"base":2}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1044,"base":2},"right_expr":{"type":"numeric_atoms","value":2097,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2877,"base":2},"right_expr":{"type":"numeric_atoms","value":1408,"base":2}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1747,"base":2},"right_expr":{"type":"numeric_atoms","value":5457,"base":2}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1571,"base":2},"right_expr":{"type":"numeric_atoms","value":1988,"base":2}}}}},"used_operators":["dWAJyo7jo9","TpPTUOHfaN","oWn0xqSxBt","NTOWxs364D","f6k1SAg4EE","U7g4x0WXJJ","rxpJgHHUmx","yyfyN0ffXY","DIvbN7qnHd","xNBdhnnwKq","eewbuw0ToL"],"dependent_operators":["k8jYdgA6NY","AHs5Up7iyr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3757","layer":4},{"info":"number node, value=6377","layer":4},{"info":"compute binary expreesion, left_input=3757, right_input=6377, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10255","layer":3},{"info":"compute unary expreesion, input=-10255, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"number node, value=1044","layer":4},{"info":"number node, value=2097","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=2097, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2877","layer":4},{"info":"number node, value=1408","layer":4},{"info":"compute binary expreesion, left_input=2877, right_input=1408, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=1747","layer":4},{"info":"number node, value=5457","layer":4},{"info":"compute binary expreesion, left_input=1747, right_input=5457, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16371","layer":3},{"info":"compute unary expreesion, input=-16371, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=1571","layer":4},{"info":"number node, value=1988","layer":4},{"info":"compute binary expreesion, left_input=1571, right_input=1988, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-407","layer":3},{"info":"compute unary expreesion, input=-407, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-407","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-407, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":0}],"base":2,"result_base":2,"text":"((⊙↵-(≮⫘↔111010101101⩚⊴⇥≮⫘↔1100011101001))+⇶⊼(≮⫘↔10000010100∑⇟⊟≮⫘↔100000110001⪒≮⫘↔101100111101≭≮⫘↔10110000000))⪢((≮⫘↔11011010011↙≮⫘↔1010101010001⊠≄⫣)↙(≮⫘↔11000100011⨰≮⫘↔11111000100⊭∹↮))=≮⫘↔0","reverse_text":"≮⫘↔0=((⊙↵-(≮⫘↔111010101101⩚⊴⇥≮⫘↔1100011101001))+⇶⊼(≮⫘↔10000010100∑⇟⊟≮⫘↔100000110001⪒≮⫘↔101100111101≭≮⫘↔10110000000))⪢((≮⫘↔11011010011↙≮⫘↔1010101010001⊠≄⫣)↙(≮⫘↔11000100011⨰≮⫘↔11111000100⊭∹↮))","cot":[{"info":"≮⫘↔111010101101⩚⊴⇥≮⫘↔1100011101001=≮⫘↔-10100000001111","layer":3},{"info":"⊙↵-≮⫘↔-10100000001111=≮⫘↔11000100","layer":2},{"info":"≮⫘↔10000010100∑⇟⊟≮⫘↔100000110001=NaN","layer":3},{"info":"≮⫘↔101100111101≭≮⫘↔10110000000=NaN","layer":3},{"info":"NaN⪒NaN=NaN","layer":2},{"info":"≮⫘↔11000100+⇶⊼NaN=NaN","layer":1},{"info":"≮⫘↔11011010011↙≮⫘↔1010101010001=≮⫘↔-11111111110011","layer":3},{"info":"≮⫘↔-11111111110011⊠≄⫣=≮⫘↔0","layer":2},{"info":"≮⫘↔11000100011⨰≮⫘↔11111000100=≮⫘↔-110010111","layer":3},{"info":"≮⫘↔-110010111⊭∹↮=≮⫘↔-110010111","layer":2},{"info":"≮⫘↔0↙≮⫘↔-110010111=≮⫘↔0","layer":1},{"info":"NaN⪢≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":209,"expression_no_base_symbol":"(($3502$⨁⊸⫻)⋝⋈⪟$1698$∀⇚≩$1658$⨳⩥⨓($5857$∼$4793$∲⫓(⨑⩽⪐$1383$)))⇷((⨞⊢$1894$⩚⊴⇥$1395$)⊘)","expression":"((≮⫘↔110110101110⨁⊸⫻)⋝⋈⪟≮⫘↔11010100010∀⇚≩≮⫘↔11001111010⨳⩥⨓(≮⫘↔1011011100001∼≮⫘↔1001010111001∲⫓(⨑⩽⪐≮⫘↔10101100111)))⇷((⨞⊢≮⫘↔11101100110⩚⊴⇥≮⫘↔10101110011)⊘)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12045,"operation_count":11,"complexity_ratio":1095.0,"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":3502,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1698,"base":2},"right_expr":{"type":"numeric_atoms","value":1658,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5857,"base":2},"right_expr":{"type":"numeric_atoms","value":4793,"base":2}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1383,"base":2}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1894,"base":2},"right_expr":{"type":"numeric_atoms","value":1395,"base":2}}}}},"used_operators":["mp7IySMOzn","nCS4ZIUYfx","2DDjHMKMc0","glklzrTFfD","LRNGc0VcxI","i8ToyICDmI","DyGG3AbaNP","AF7qkfDlqP","gu96TGCTMs","xUOZtlo3hN","NTOWxs364D"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3502","layer":4},{"info":"compute unary expreesion, input=3502, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3502","layer":3},{"info":"number node, value=1698","layer":4},{"info":"number node, value=1658","layer":4},{"info":"compute binary expreesion, left_input=1698, right_input=1658, 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=3502, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=5857","layer":4},{"info":"number node, value=4793","layer":4},{"info":"compute binary expreesion, left_input=5857, right_input=4793, 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=1383","layer":4},{"info":"compute unary expreesion, input=1383, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1110","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1110, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=1894","layer":4},{"info":"number node, value=1395","layer":4},{"info":"compute binary expreesion, left_input=1894, right_input=1395, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3410","layer":3},{"info":"compute unary expreesion, input=-3410, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=3236","layer":2},{"info":"compute unary expreesion, input=3236, 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 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":2,"result_base":2,"text":"((≮⫘↔110110101110⨁⊸⫻)⋝⋈⪟≮⫘↔11010100010∀⇚≩≮⫘↔11001111010⨳⩥⨓(≮⫘↔1011011100001∼≮⫘↔1001010111001∲⫓(⨑⩽⪐≮⫘↔10101100111)))⇷((⨞⊢≮⫘↔11101100110⩚⊴⇥≮⫘↔10101110011)⊘)=≮⫘↔0","reverse_text":"≮⫘↔0=((≮⫘↔110110101110⨁⊸⫻)⋝⋈⪟≮⫘↔11010100010∀⇚≩≮⫘↔11001111010⨳⩥⨓(≮⫘↔1011011100001∼≮⫘↔1001010111001∲⫓(⨑⩽⪐≮⫘↔10101100111)))⇷((⨞⊢≮⫘↔11101100110⩚⊴⇥≮⫘↔10101110011)⊘)","cot":[{"info":"≮⫘↔110110101110⨁⊸⫻=≮⫘↔110110101110","layer":3},{"info":"≮⫘↔11010100010∀⇚≩≮⫘↔11001111010=NaN","layer":3},{"info":"≮⫘↔110110101110⋝⋈⪟NaN=NaN","layer":2},{"info":"≮⫘↔1011011100001∼≮⫘↔1001010111001=NaN","layer":3},{"info":"⨑⩽⪐≮⫘↔10101100111=≮⫘↔-10001010110","layer":3},{"info":"NaN∲⫓≮⫘↔-10001010110=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"≮⫘↔11101100110⩚⊴⇥≮⫘↔10101110011=≮⫘↔-110101010010","layer":3},{"info":"⨞⊢≮⫘↔-110101010010=≮⫘↔110010100100","layer":2},{"info":"≮⫘↔110010100100⊘=≮⫘↔0","layer":1},{"info":"NaN⇷≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":210,"expression_no_base_symbol":"((⨑⩽⪐$4562$)⊉≛↸($1365$⊭↱$4142$))⇷((≉$6133$)⩤)≧⫂∧(⊥($6582$⪛$1238$⨽$2887$⨟⋌⩍$3739$))","expression":"((⨑⩽⪐≮⫘↔1000111010010)⊉≛↸(≮⫘↔10101010101⊭↱≮⫘↔1000000101110))⇷((≉≮⫘↔1011111110101)⩤)≧⫂∧(⊥(≮⫘↔1100110110110⪛≮⫘↔10011010110⨽≮⫘↔101101000111⨟⋌⩍≮⫘↔111010011011))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":78263,"operation_count":11,"complexity_ratio":7114.818181818182,"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":4562,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1365,"base":2},"right_expr":{"type":"numeric_atoms","value":4142,"base":2}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":6133,"base":2}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6582,"base":2},"right_expr":{"type":"numeric_atoms","value":1238,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2887,"base":2},"right_expr":{"type":"numeric_atoms","value":3739,"base":2}}}}},"used_operators":["Ph9nP6C5qx","mp7IySMOzn","DZ8iAZOCBD","AF7qkfDlqP","COABgblf1C","Z2TMIBDE3Q","e1ybzncUwg","Q3PJZHRvZv","8HhzD0ZcuI","uFcxV4UQCh","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4562","layer":4},{"info":"compute unary expreesion, input=4562, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4289","layer":3},{"info":"number node, value=1365","layer":4},{"info":"number node, value=4142","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=4142, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5559","layer":3},{"info":"compute binary expreesion, left_input=-4289, right_input=5559, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-5559","layer":2},{"info":"number node, value=6133","layer":4},{"info":"compute unary expreesion, input=6133, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6664","layer":3},{"info":"compute unary expreesion, input=6664, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-6664","layer":2},{"info":"compute binary expreesion, left_input=-5559, right_input=-6664, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=6582","layer":4},{"info":"number node, value=1238","layer":4},{"info":"compute binary expreesion, left_input=6582, right_input=1238, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=392","layer":3},{"info":"number node, value=2887","layer":4},{"info":"number node, value=3739","layer":4},{"info":"compute binary expreesion, left_input=2887, right_input=3739, 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=392, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨑⩽⪐≮⫘↔1000111010010)⊉≛↸(≮⫘↔10101010101⊭↱≮⫘↔1000000101110))⇷((≉≮⫘↔1011111110101)⩤)≧⫂∧(⊥(≮⫘↔1100110110110⪛≮⫘↔10011010110⨽≮⫘↔101101000111⨟⋌⩍≮⫘↔111010011011))=NaN","reverse_text":"NaN=((⨑⩽⪐≮⫘↔1000111010010)⊉≛↸(≮⫘↔10101010101⊭↱≮⫘↔1000000101110))⇷((≉≮⫘↔1011111110101)⩤)≧⫂∧(⊥(≮⫘↔1100110110110⪛≮⫘↔10011010110⨽≮⫘↔101101000111⨟⋌⩍≮⫘↔111010011011))","cot":[{"info":"⨑⩽⪐≮⫘↔1000111010010=≮⫘↔-1000011000001","layer":3},{"info":"≮⫘↔10101010101⊭↱≮⫘↔1000000101110=≮⫘↔1010110110111","layer":3},{"info":"≮⫘↔-1000011000001⊉≛↸≮⫘↔1010110110111=≮⫘↔-1010110110111","layer":2},{"info":"≉≮⫘↔1011111110101=≮⫘↔1101000001000","layer":3},{"info":"≮⫘↔1101000001000⩤=≮⫘↔-1101000001000","layer":2},{"info":"≮⫘↔-1010110110111⇷≮⫘↔-1101000001000=NaN","layer":1},{"info":"≮⫘↔1100110110110⪛≮⫘↔10011010110=≮⫘↔110001000","layer":3},{"info":"≮⫘↔101101000111⨟⋌⩍≮⫘↔111010011011=NaN","layer":3},{"info":"≮⫘↔110001000⨽NaN=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":211,"expression_no_base_symbol":"((($5637$⨎$1442$)⊪)⇋≉)⩚⊴⇥(⋗⩬⋾((↩$5575$)⩨$1281$⇷$5911$))","expression":"(((≮⫘↔1011000000101⨎≮⫘↔10110100010)⊪)⇋≉)⩚⊴⇥(⋗⩬⋾((↩≮⫘↔1010111000111)⩨≮⫘↔10100000001⇷≮⫘↔1011100010111))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18003,"operation_count":8,"complexity_ratio":2250.375,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5637,"base":2},"right_expr":{"type":"numeric_atoms","value":1442,"base":2}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5575,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1281,"base":2},"right_expr":{"type":"numeric_atoms","value":5911,"base":2}}}}},"used_operators":["NTOWxs364D","XIabStNQrY","zVYPLywUTj","rJVOvQCfKK","DpFCA1CohY","2DlMacCsIx","jLgFTUHLKL","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"≮⫘↔-1110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5637","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=5637, right_input=1442, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1442","layer":3},{"info":"compute unary expreesion, input=1442, 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":"compute unary expreesion, input=0, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":1},{"info":"number node, value=5575","layer":4},{"info":"compute unary expreesion, input=5575, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-41820","layer":3},{"info":"number node, value=1281","layer":4},{"info":"number node, value=5911","layer":4},{"info":"compute binary expreesion, left_input=1281, right_input=5911, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11822","layer":3},{"info":"compute binary expreesion, left_input=-41820, right_input=11822, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"compute unary expreesion, input=3, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9","layer":1},{"info":"compute binary expreesion, left_input=-98, right_input=-9, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-14","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1011000000101⨎≮⫘↔10110100010)⊪)⇋≉)⩚⊴⇥(⋗⩬⋾((↩≮⫘↔1010111000111)⩨≮⫘↔10100000001⇷≮⫘↔1011100010111))=≮⫘↔-1110","reverse_text":"≮⫘↔-1110=(((≮⫘↔1011000000101⨎≮⫘↔10110100010)⊪)⇋≉)⩚⊴⇥(⋗⩬⋾((↩≮⫘↔1010111000111)⩨≮⫘↔10100000001⇷≮⫘↔1011100010111))","cot":[{"info":"≮⫘↔1011000000101⨎≮⫘↔10110100010=≮⫘↔10110100010","layer":3},{"info":"≮⫘↔10110100010⊪=≮⫘↔0","layer":2},{"info":"≮⫘↔0⇋≉=≮⫘↔-1100010","layer":1},{"info":"↩≮⫘↔1010111000111=≮⫘↔-1010001101011100","layer":3},{"info":"≮⫘↔10100000001⇷≮⫘↔1011100010111=≮⫘↔10111000101110","layer":3},{"info":"≮⫘↔-1010001101011100⩨≮⫘↔10111000101110=≮⫘↔11","layer":2},{"info":"⋗⩬⋾≮⫘↔11=≮⫘↔-1001","layer":1},{"info":"≮⫘↔-1100010⩚⊴⇥≮⫘↔-1001=≮⫘↔-1110","layer":0}]}
{"id":212,"expression_no_base_symbol":"($4374$⨪↰⇹$1186$⋳⪒$8427$+⇶⊼$1906$⪨≂((⩦⩻⨪$4121$)+(⪝⪂⫅$1464$)))⫩⊇","expression":"(≮⫘↔1000100010110⨪↰⇹≮⫘↔10010100010⋳⪒≮⫘↔10000011101011+⇶⊼≮⫘↔11101110010⪨≂((⩦⩻⨪≮⫘↔1000000011001)+(⪝⪂⫅≮⫘↔10110111000)))⫩⊇","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4543,"operation_count":8,"complexity_ratio":567.875,"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":4374,"base":2},"right_expr":{"type":"numeric_atoms","value":1186,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":8427,"base":2},"right_expr":{"type":"numeric_atoms","value":1906,"base":2}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4121,"base":2}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1464,"base":2}}}}},"used_operators":["BjRHVeLaeN","sdazOOVcIp","12rbrZMWeM","tmPS8pqC7x","TpPTUOHfaN","W4YGzv6Whe","2td37pGCOC","XTarYq4gQB"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4374","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=4374, right_input=1186, 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=4374","layer":3},{"info":"number node, value=8427","layer":4},{"info":"number node, value=1906","layer":4},{"info":"compute binary expreesion, left_input=8427, right_input=1906, 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=4374, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=4121","layer":4},{"info":"compute unary expreesion, input=4121, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4121","layer":3},{"info":"number node, value=1464","layer":4},{"info":"compute unary expreesion, input=1464, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-215208","layer":3},{"info":"compute binary expreesion, left_input=4121, right_input=-215208, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-211087","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-211087, 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 unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1000100010110⨪↰⇹≮⫘↔10010100010⋳⪒≮⫘↔10000011101011+⇶⊼≮⫘↔11101110010⪨≂((⩦⩻⨪≮⫘↔1000000011001)+(⪝⪂⫅≮⫘↔10110111000)))⫩⊇=NaN","reverse_text":"NaN=(≮⫘↔1000100010110⨪↰⇹≮⫘↔10010100010⋳⪒≮⫘↔10000011101011+⇶⊼≮⫘↔11101110010⪨≂((⩦⩻⨪≮⫘↔1000000011001)+(⪝⪂⫅≮⫘↔10110111000)))⫩⊇","cot":[{"info":"≮⫘↔1000100010110⨪↰⇹≮⫘↔10010100010=≮⫘↔1000100010110","layer":3},{"info":"≮⫘↔10000011101011+⇶⊼≮⫘↔11101110010=NaN","layer":3},{"info":"≮⫘↔1000100010110⋳⪒NaN=NaN","layer":2},{"info":"⩦⩻⨪≮⫘↔1000000011001=≮⫘↔1000000011001","layer":3},{"info":"⪝⪂⫅≮⫘↔10110111000=≮⫘↔-110100100010101000","layer":3},{"info":"≮⫘↔1000000011001+≮⫘↔-110100100010101000=≮⫘↔-110011100010001111","layer":2},{"info":"NaN⪨≂≮⫘↔-110011100010001111=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":213,"expression_no_base_symbol":"(($2258$⪄$2303$⪨≂(⊄⩳↩$1791$))⨽($4248$+$1445$)⨎($2380$⪨≂$1017$))⨪↰⇹(↔((∂$4925$)⫡⨏$2659$⩨$3173$))","expression":"((≮⫘↔100011010010⪄≮⫘↔100011111111⪨≂(⊄⩳↩≮⫘↔11011111111))⨽(≮⫘↔1000010011000+≮⫘↔10110100101)⨎(≮⫘↔100101001100⪨≂≮⫘↔1111111001))⨪↰⇹(↔((∂≮⫘↔1001100111101)⫡⨏≮⫘↔101001100011⩨≮⫘↔110001100101))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":668276,"operation_count":12,"complexity_ratio":55689.666666666664,"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":2258,"base":2},"right_expr":{"type":"numeric_atoms","value":2303,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1791,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4248,"base":2},"right_expr":{"type":"numeric_atoms","value":1445,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2380,"base":2},"right_expr":{"type":"numeric_atoms","value":1017,"base":2}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4925,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2659,"base":2},"right_expr":{"type":"numeric_atoms","value":3173,"base":2}}}}},"used_operators":["tmPS8pqC7x","8HhzD0ZcuI","sdazOOVcIp","SUmda5xLS4","8w2t5hMYqp","rJVOvQCfKK","W4YGzv6Whe","ruOEQAzv1W","QMFrweE19q","Uaa54Peajs","2DlMacCsIx"],"dependent_operators":["rJVOvQCfKK","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2258","layer":4},{"info":"number node, value=2303","layer":4},{"info":"compute binary expreesion, left_input=2258, right_input=2303, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-339485","layer":3},{"info":"number node, value=1791","layer":4},{"info":"compute unary expreesion, input=1791, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5373","layer":3},{"info":"compute binary expreesion, left_input=-339485, right_input=-5373, 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=-668122","layer":2},{"info":"number node, value=4248","layer":4},{"info":"number node, value=1445","layer":4},{"info":"compute binary expreesion, left_input=4248, right_input=1445, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5693","layer":3},{"info":"number node, value=2380","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=2380, right_input=1017, 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=2828","layer":3},{"info":"compute binary expreesion, left_input=5693, right_input=2828, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2828","layer":2},{"info":"compute binary expreesion, left_input=-668122, right_input=2828, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":1},{"info":"number node, value=4925","layer":4},{"info":"compute unary expreesion, input=4925, 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=2659","layer":4},{"info":"number node, value=3173","layer":4},{"info":"compute binary expreesion, left_input=2659, right_input=3173, 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 = 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=-134, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100011010010⪄≮⫘↔100011111111⪨≂(⊄⩳↩≮⫘↔11011111111))⨽(≮⫘↔1000010011000+≮⫘↔10110100101)⨎(≮⫘↔100101001100⪨≂≮⫘↔1111111001))⨪↰⇹(↔((∂≮⫘↔1001100111101)⫡⨏≮⫘↔101001100011⩨≮⫘↔110001100101))=NaN","reverse_text":"NaN=((≮⫘↔100011010010⪄≮⫘↔100011111111⪨≂(⊄⩳↩≮⫘↔11011111111))⨽(≮⫘↔1000010011000+≮⫘↔10110100101)⨎(≮⫘↔100101001100⪨≂≮⫘↔1111111001))⨪↰⇹(↔((∂≮⫘↔1001100111101)⫡⨏≮⫘↔101001100011⩨≮⫘↔110001100101))","cot":[{"info":"≮⫘↔100011010010⪄≮⫘↔100011111111=≮⫘↔-1010010111000011101","layer":3},{"info":"⊄⩳↩≮⫘↔11011111111=≮⫘↔-1010011111101","layer":3},{"info":"≮⫘↔-1010010111000011101⪨≂≮⫘↔-1010011111101=≮⫘↔-10100011000111011010","layer":2},{"info":"≮⫘↔1000010011000+≮⫘↔10110100101=≮⫘↔1011000111101","layer":3},{"info":"≮⫘↔100101001100⪨≂≮⫘↔1111111001=≮⫘↔101100001100","layer":3},{"info":"≮⫘↔1011000111101⨎≮⫘↔101100001100=≮⫘↔101100001100","layer":2},{"info":"≮⫘↔-10100011000111011010⨽≮⫘↔101100001100=-Inf","layer":1},{"info":"∂≮⫘↔1001100111101=NaN","layer":3},{"info":"≮⫘↔101001100011⩨≮⫘↔110001100101=≮⫘↔-11","layer":3},{"info":"NaN⫡⨏≮⫘↔-11=NaN","layer":2},{"info":"↔NaN=≮⫘↔-10000110","layer":1},{"info":"-Inf⨪↰⇹≮⫘↔-10000110=NaN","layer":0}]}
{"id":214,"expression_no_base_symbol":"($1074$⪒$4198$)⊭↱$1441$⊴$2825$⩨($2114$⪒$1719$)⨰$3397$∼$1098$⊭↱((⊄⩳↩$3249$)∀⇚≩($1877$⪐)⊪)","expression":"(≮⫘↔10000110010⪒≮⫘↔1000001100110)⊭↱≮⫘↔10110100001⊴≮⫘↔101100001001⩨(≮⫘↔100001000010⪒≮⫘↔11010110111)⨰≮⫘↔110101000101∼≮⫘↔10001001010⊭↱((⊄⩳↩≮⫘↔110010110001)∀⇚≩(≮⫘↔11101010101⪐)⊪)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":71174,"operation_count":12,"complexity_ratio":5931.166666666667,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1074,"base":2},"right_expr":{"type":"numeric_atoms","value":4198,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1441,"base":2},"right_expr":{"type":"numeric_atoms","value":2825,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2114,"base":2},"right_expr":{"type":"numeric_atoms","value":1719,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3397,"base":2},"right_expr":{"type":"numeric_atoms","value":1098,"base":2}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3249,"base":2}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1877,"base":2}}}}},"used_operators":["COABgblf1C","2DlMacCsIx","f6k1SAg4EE","Nsiff2A1zJ","eewbuw0ToL","DyGG3AbaNP","zVYPLywUTj","LRNGc0VcxI","8w2t5hMYqp","eH2TOUuTDT"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1074","layer":4},{"info":"number node, value=4198","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=4198, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5272","layer":3},{"info":"number node, value=1441","layer":4},{"info":"number node, value=2825","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=2825, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5272, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=2114","layer":4},{"info":"number node, value=1719","layer":4},{"info":"compute binary expreesion, left_input=2114, right_input=1719, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3833","layer":3},{"info":"number node, value=3397","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=3397, right_input=1098, 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=-3833, 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=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=3249","layer":4},{"info":"compute unary expreesion, input=3249, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9747","layer":3},{"info":"number node, value=1877","layer":4},{"info":"compute unary expreesion, input=1877, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3754","layer":3},{"info":"compute binary expreesion, left_input=-9747, right_input=3754, 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 = 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=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"(≮⫘↔10000110010⪒≮⫘↔1000001100110)⊭↱≮⫘↔10110100001⊴≮⫘↔101100001001⩨(≮⫘↔100001000010⪒≮⫘↔11010110111)⨰≮⫘↔110101000101∼≮⫘↔10001001010⊭↱((⊄⩳↩≮⫘↔110010110001)∀⇚≩(≮⫘↔11101010101⪐)⊪)=NaN","reverse_text":"NaN=(≮⫘↔10000110010⪒≮⫘↔1000001100110)⊭↱≮⫘↔10110100001⊴≮⫘↔101100001001⩨(≮⫘↔100001000010⪒≮⫘↔11010110111)⨰≮⫘↔110101000101∼≮⫘↔10001001010⊭↱((⊄⩳↩≮⫘↔110010110001)∀⇚≩(≮⫘↔11101010101⪐)⊪)","cot":[{"info":"≮⫘↔10000110010⪒≮⫘↔1000001100110=≮⫘↔-1010010011000","layer":3},{"info":"≮⫘↔10110100001⊴≮⫘↔101100001001=NaN","layer":3},{"info":"≮⫘↔-1010010011000⊭↱NaN=NaN","layer":2},{"info":"≮⫘↔100001000010⪒≮⫘↔11010110111=≮⫘↔-111011111001","layer":3},{"info":"≮⫘↔110101000101∼≮⫘↔10001001010=NaN","layer":3},{"info":"≮⫘↔-111011111001⨰NaN=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⊄⩳↩≮⫘↔110010110001=≮⫘↔-10011000010011","layer":3},{"info":"≮⫘↔11101010101⪐=≮⫘↔111010101010","layer":3},{"info":"≮⫘↔-10011000010011∀⇚≩≮⫘↔111010101010=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":215,"expression_no_base_symbol":"(($1028$⇼⇔∾$5846$)⨓($2581$⋥≓≎$2334$)↪⪝)⋫","expression":"((≮⫘↔10000000100⇼⇔∾≮⫘↔1011011010110)⨓(≮⫘↔101000010101⋥≓≎≮⫘↔100100011110)↪⪝)⋫","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2833,"operation_count":5,"complexity_ratio":566.6,"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":1028,"base":2},"right_expr":{"type":"numeric_atoms","value":5846,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2581,"base":2},"right_expr":{"type":"numeric_atoms","value":2334,"base":2}}}}},"used_operators":["JL8yIekQnl","l07mrZUIn9","3ViojmjbAp","tifHPKVTfV","Qy55tPpLXF"],"dependent_operators":["tmPS8pqC7x","9HNa5Wba9A","2DDjHMKMc0","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1028","layer":4},{"info":"number node, value=5846","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=5846, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4818","layer":3},{"info":"number node, value=2581","layer":4},{"info":"number node, value=2334","layer":4},{"info":"compute binary expreesion, left_input=2581, right_input=2334, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2120","layer":3},{"info":"compute binary expreesion, left_input=4818, right_input=2120, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2123","layer":2},{"info":"compute unary expreesion, input=-2123, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-129889386","layer":1},{"info":"compute unary expreesion, input=-129889386, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10000000100⇼⇔∾≮⫘↔1011011010110)⨓(≮⫘↔101000010101⋥≓≎≮⫘↔100100011110)↪⪝)⋫=NaN","reverse_text":"NaN=((≮⫘↔10000000100⇼⇔∾≮⫘↔1011011010110)⨓(≮⫘↔101000010101⋥≓≎≮⫘↔100100011110)↪⪝)⋫","cot":[{"info":"≮⫘↔10000000100⇼⇔∾≮⫘↔1011011010110=≮⫘↔1001011010010","layer":3},{"info":"≮⫘↔101000010101⋥≓≎≮⫘↔100100011110=≮⫘↔100001001000","layer":3},{"info":"≮⫘↔1001011010010⨓≮⫘↔100001001000=≮⫘↔-100001001011","layer":2},{"info":"≮⫘↔-100001001011↪⪝=≮⫘↔-111101111011111010001101010","layer":1},{"info":"≮⫘↔-111101111011111010001101010⋫=NaN","layer":0}]}
{"id":216,"expression_no_base_symbol":"(($4807$⫩⊇)⋓(≉$2970$)⋳⪒(↩(⨈⫕$1832$)))≎⊠⪸(($1956$*$2917$)⨰($3000$⨵⪆$5053$)⫩⊇)","expression":"((≮⫘↔1001011000111⫩⊇)⋓(≉≮⫘↔101110011010)⋳⪒(↩(⨈⫕≮⫘↔11100101000)))≎⊠⪸((≮⫘↔11110100100*≮⫘↔101101100101)⨰(≮⫘↔101110111000⨵⪆≮⫘↔1001110111101)⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2405,"operation_count":11,"complexity_ratio":218.63636363636363,"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":4807,"base":2}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2970,"base":2}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1832,"base":2}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1956,"base":2},"right_expr":{"type":"numeric_atoms","value":2917,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3000,"base":2},"right_expr":{"type":"numeric_atoms","value":5053,"base":2}}}}},"used_operators":["bJkvcejdHO","12rbrZMWeM","T2fj7uvVaJ","BjRHVeLaeN","e1ybzncUwg","jLgFTUHLKL","megm06wKyl","eewbuw0ToL","9HNa5Wba9A","2DQ55sFlQl"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4807","layer":4},{"info":"compute unary expreesion, input=4807, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4765","layer":3},{"info":"number node, value=2970","layer":4},{"info":"compute unary expreesion, input=2970, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3501","layer":3},{"info":"compute binary expreesion, left_input=-4765, right_input=3501, 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=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":"compute unary expreesion, input=-21, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=5096","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=5096, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-5383","layer":1},{"info":"number node, value=1956","layer":4},{"info":"number node, value=2917","layer":4},{"info":"compute binary expreesion, left_input=1956, right_input=2917, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5705652","layer":3},{"info":"number node, value=3000","layer":4},{"info":"number node, value=5053","layer":4},{"info":"compute binary expreesion, left_input=3000, right_input=5053, 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=5705652, right_input=160, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5705502","layer":2},{"info":"compute unary expreesion, input=5705502, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5705460","layer":1},{"info":"compute binary expreesion, left_input=-5383, right_input=-5705460, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001011000111⫩⊇)⋓(≉≮⫘↔101110011010)⋳⪒(↩(⨈⫕≮⫘↔11100101000)))≎⊠⪸((≮⫘↔11110100100*≮⫘↔101101100101)⨰(≮⫘↔101110111000⨵⪆≮⫘↔1001110111101)⫩⊇)=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=((≮⫘↔1001011000111⫩⊇)⋓(≉≮⫘↔101110011010)⋳⪒(↩(⨈⫕≮⫘↔11100101000)))≎⊠⪸((≮⫘↔11110100100*≮⫘↔101101100101)⨰(≮⫘↔101110111000⨵⪆≮⫘↔1001110111101)⫩⊇)","cot":[{"info":"≮⫘↔1001011000111⫩⊇=≮⫘↔-1001010011101","layer":3},{"info":"≉≮⫘↔101110011010=≮⫘↔110110101101","layer":3},{"info":"≮⫘↔-1001010011101⋓≮⫘↔110110101101=≮⫘↔0","layer":2},{"info":"⨈⫕≮⫘↔11100101000=≮⫘↔-10101","layer":3},{"info":"↩≮⫘↔-10101=≮⫘↔1001111101000","layer":2},{"info":"≮⫘↔0⋳⪒≮⫘↔1001111101000=≮⫘↔-1010100000111","layer":1},{"info":"≮⫘↔11110100100*≮⫘↔101101100101=≮⫘↔10101110000111110110100","layer":3},{"info":"≮⫘↔101110111000⨵⪆≮⫘↔1001110111101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10101110000111110110100⨰≮⫘↔10100000=≮⫘↔10101110000111100011110","layer":2},{"info":"≮⫘↔10101110000111100011110⫩⊇=≮⫘↔-10101110000111011110100","layer":1},{"info":"≮⫘↔-1010100000111≎⊠⪸≮⫘↔-10101110000111011110100=≮⫘↔1000011","layer":0}]}
{"id":217,"expression_no_base_symbol":"($6005$⋳⪒$3857$)⩚⊴⇥($1390$∲⫓$2375$)⨐⩸⫘($7779$⨓$1333$)∼($7768$↛⩡⫤)⋷(⨰⫟⨤$1588$)⊴$5534$≹⇙⪍$2651$*($1855$⨳⩥⨓$3878$/$2939$∀⇚≩$1518$)","expression":"(≮⫘↔1011101110101⋳⪒≮⫘↔111100010001)⩚⊴⇥(≮⫘↔10101101110∲⫓≮⫘↔100101000111)⨐⩸⫘(≮⫘↔1111001100011⨓≮⫘↔10100110101)∼(≮⫘↔1111001011000↛⩡⫤)⋷(⨰⫟⨤≮⫘↔11000110100)⊴≮⫘↔1010110011110≹⇙⪍≮⫘↔101001011011*(≮⫘↔11100111111⨳⩥⨓≮⫘↔111100100110/≮⫘↔101101111011∀⇚≩≮⫘↔10111101110)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":50918,"operation_count":15,"complexity_ratio":3394.5333333333333,"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":6005,"base":2},"right_expr":{"type":"numeric_atoms","value":3857,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1390,"base":2},"right_expr":{"type":"numeric_atoms","value":2375,"base":2}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7779,"base":2},"right_expr":{"type":"numeric_atoms","value":1333,"base":2}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":7768,"base":2}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1588,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5534,"base":2},"right_expr":{"type":"numeric_atoms","value":2651,"base":2}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1855,"base":2},"right_expr":{"type":"numeric_atoms","value":3878,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2939,"base":2},"right_expr":{"type":"numeric_atoms","value":1518,"base":2}}}}},"used_operators":["23Mk6UjR3U","fu6greOZ01","NTOWxs364D","12rbrZMWeM","i8ToyICDmI","DyGG3AbaNP","3ViojmjbAp","FU0Cs4j7VP","9HNa5Wba9A","Nsiff2A1zJ","Tw270M8GLb","AHs5Up7iyr","XhwjNDsVaA","nCS4ZIUYfx","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6005","layer":4},{"info":"number node, value=3857","layer":4},{"info":"compute binary expreesion, left_input=6005, right_input=3857, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7866","layer":3},{"info":"number node, value=1390","layer":4},{"info":"number node, value=2375","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=2375, 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=7866, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7987","layer":2},{"info":"number node, value=7779","layer":4},{"info":"number node, value=1333","layer":4},{"info":"compute binary expreesion, left_input=7779, right_input=1333, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1336","layer":3},{"info":"number node, value=7768","layer":4},{"info":"compute unary expreesion, input=7768, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1169057","layer":3},{"info":"compute binary expreesion, left_input=-1336, right_input=-1169057, 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=-7987, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1588","layer":4},{"info":"compute unary expreesion, input=1588, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=5534","layer":4},{"info":"number node, value=2651","layer":4},{"info":"compute binary expreesion, left_input=5534, right_input=2651, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1855","layer":4},{"info":"number node, value=3878","layer":4},{"info":"compute binary expreesion, left_input=1855, right_input=3878, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2023","layer":3},{"info":"number node, value=2939","layer":4},{"info":"number node, value=1518","layer":4},{"info":"compute binary expreesion, left_input=2939, right_input=1518, 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=2023, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1011101110101⋳⪒≮⫘↔111100010001)⩚⊴⇥(≮⫘↔10101101110∲⫓≮⫘↔100101000111)⨐⩸⫘(≮⫘↔1111001100011⨓≮⫘↔10100110101)∼(≮⫘↔1111001011000↛⩡⫤)⋷(⨰⫟⨤≮⫘↔11000110100)⊴≮⫘↔1010110011110≹⇙⪍≮⫘↔101001011011*(≮⫘↔11100111111⨳⩥⨓≮⫘↔111100100110/≮⫘↔101101111011∀⇚≩≮⫘↔10111101110)=NaN","reverse_text":"NaN=(≮⫘↔1011101110101⋳⪒≮⫘↔111100010001)⩚⊴⇥(≮⫘↔10101101110∲⫓≮⫘↔100101000111)⨐⩸⫘(≮⫘↔1111001100011⨓≮⫘↔10100110101)∼(≮⫘↔1111001011000↛⩡⫤)⋷(⨰⫟⨤≮⫘↔11000110100)⊴≮⫘↔1010110011110≹⇙⪍≮⫘↔101001011011*(≮⫘↔11100111111⨳⩥⨓≮⫘↔111100100110/≮⫘↔101101111011∀⇚≩≮⫘↔10111101110)","cot":[{"info":"≮⫘↔1011101110101⋳⪒≮⫘↔111100010001=≮⫘↔1111010111010","layer":3},{"info":"≮⫘↔10101101110∲⫓≮⫘↔100101000111=≮⫘↔0","layer":3},{"info":"≮⫘↔1111010111010⩚⊴⇥≮⫘↔0=≮⫘↔-1111100110011","layer":2},{"info":"≮⫘↔1111001100011⨓≮⫘↔10100110101=≮⫘↔-10100111000","layer":3},{"info":"≮⫘↔1111001011000↛⩡⫤=≮⫘↔-100011101011010100001","layer":3},{"info":"≮⫘↔-10100111000∼≮⫘↔-100011101011010100001=NaN","layer":2},{"info":"≮⫘↔-1111100110011⨐⩸⫘NaN=NaN","layer":1},{"info":"⨰⫟⨤≮⫘↔11000110100=NaN","layer":3},{"info":"≮⫘↔1010110011110≹⇙⪍≮⫘↔101001011011=NaN","layer":3},{"info":"NaN⊴NaN=NaN","layer":2},{"info":"≮⫘↔11100111111⨳⩥⨓≮⫘↔111100100110=≮⫘↔11111100111","layer":3},{"info":"≮⫘↔101101111011∀⇚≩≮⫘↔10111101110=NaN","layer":3},{"info":"≮⫘↔11111100111/NaN=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":218,"expression_no_base_symbol":"(⋗⩬⋾($5875$⨟⋌⩍$4427$⊠≄⫣))↬(⪲⇎(($1034$⪒$2012$)⫸⊐$7469$⨓$8486$))","expression":"(⋗⩬⋾(≮⫘↔1011011110011⨟⋌⩍≮⫘↔1000101001011⊠≄⫣))↬(⪲⇎((≮⫘↔10000001010⪒≮⫘↔11111011100)⫸⊐≮⫘↔1110100101101⨓≮⫘↔10000100100110))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8509,"operation_count":8,"complexity_ratio":1063.625,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5875,"base":2},"right_expr":{"type":"numeric_atoms","value":4427,"base":2}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1034,"base":2},"right_expr":{"type":"numeric_atoms","value":2012,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7469,"base":2},"right_expr":{"type":"numeric_atoms","value":8486,"base":2}}}}},"used_operators":["B5M0gjZbta","DpFCA1CohY","DIvbN7qnHd","rGHVDoGpnC","XPYlsWDdGa","mqXw5SEYmG","f6k1SAg4EE","3ViojmjbAp"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5875","layer":4},{"info":"number node, value=4427","layer":4},{"info":"compute binary expreesion, left_input=5875, right_input=4427, 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 = DIvbN7qnHd, unary_op_definition = '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":"number node, value=1034","layer":4},{"info":"number node, value=2012","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=2012, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3046","layer":3},{"info":"number node, value=7469","layer":4},{"info":"number node, value=8486","layer":4},{"info":"compute binary expreesion, left_input=7469, right_input=8486, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8489","layer":3},{"info":"compute binary expreesion, left_input=-3046, right_input=-8489, 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 unary expreesion, input=968, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=1936","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1936, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⋗⩬⋾(≮⫘↔1011011110011⨟⋌⩍≮⫘↔1000101001011⊠≄⫣))↬(⪲⇎((≮⫘↔10000001010⪒≮⫘↔11111011100)⫸⊐≮⫘↔1110100101101⨓≮⫘↔10000100100110))=NaN","reverse_text":"NaN=(⋗⩬⋾(≮⫘↔1011011110011⨟⋌⩍≮⫘↔1000101001011⊠≄⫣))↬(⪲⇎((≮⫘↔10000001010⪒≮⫘↔11111011100)⫸⊐≮⫘↔1110100101101⨓≮⫘↔10000100100110))","cot":[{"info":"≮⫘↔1011011110011⨟⋌⩍≮⫘↔1000101001011=NaN","layer":3},{"info":"NaN⊠≄⫣=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"≮⫘↔10000001010⪒≮⫘↔11111011100=≮⫘↔-101111100110","layer":3},{"info":"≮⫘↔1110100101101⨓≮⫘↔10000100100110=≮⫘↔-10000100101001","layer":3},{"info":"≮⫘↔-101111100110⫸⊐≮⫘↔-10000100101001=≮⫘↔1111001000","layer":2},{"info":"⪲⇎≮⫘↔1111001000=≮⫘↔11110010000","layer":1},{"info":"NaN↬≮⫘↔11110010000=NaN","layer":0}]}
{"id":219,"expression_no_base_symbol":"($2052$⪨≂$1759$+(⨵≀≌$1857$))⊴(≦∁$4369$∲⫓$1581$)↛⩡⫤","expression":"(≮⫘↔100000000100⪨≂≮⫘↔11011011111+(⨵≀≌≮⫘↔11101000001))⊴(≦∁≮⫘↔1000100010001∲⫓≮⫘↔11000101101)↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6169,"operation_count":7,"complexity_ratio":881.2857142857143,"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":2052,"base":2},"right_expr":{"type":"numeric_atoms","value":1759,"base":2}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1857,"base":2}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4369,"base":2},"right_expr":{"type":"numeric_atoms","value":1581,"base":2}}}}},"used_operators":["FU0Cs4j7VP","Nsiff2A1zJ","W4YGzv6Whe","sdazOOVcIp","srAu1WTS94","9ICcGScMcE","i8ToyICDmI"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2052","layer":4},{"info":"number node, value=1759","layer":4},{"info":"compute binary expreesion, left_input=2052, right_input=1759, 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=688","layer":3},{"info":"number node, value=1857","layer":4},{"info":"compute unary expreesion, input=1857, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5571","layer":3},{"info":"compute binary expreesion, left_input=688, right_input=-5571, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-4883","layer":2},{"info":"number node, value=4369","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=4369, right_input=1581, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":2},{"info":"compute binary expreesion, left_input=-4883, right_input=-320, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"(≮⫘↔100000000100⪨≂≮⫘↔11011011111+(⨵≀≌≮⫘↔11101000001))⊴(≦∁≮⫘↔1000100010001∲⫓≮⫘↔11000101101)↛⩡⫤=NaN","reverse_text":"NaN=(≮⫘↔100000000100⪨≂≮⫘↔11011011111+(⨵≀≌≮⫘↔11101000001))⊴(≦∁≮⫘↔1000100010001∲⫓≮⫘↔11000101101)↛⩡⫤","cot":[{"info":"≮⫘↔100000000100⪨≂≮⫘↔11011011111=≮⫘↔1010110000","layer":3},{"info":"⨵≀≌≮⫘↔11101000001=≮⫘↔-1010111000011","layer":3},{"info":"≮⫘↔1010110000+≮⫘↔-1010111000011=≮⫘↔-1001100010011","layer":2},{"info":"≮⫘↔1000100010001∲⫓≮⫘↔11000101101=≮⫘↔0","layer":3},{"info":"≦∁≮⫘↔0=≮⫘↔-101000000","layer":2},{"info":"≮⫘↔-1001100010011⊴≮⫘↔-101000000=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":220,"expression_no_base_symbol":"($3076$-$2300$)⨟⋌⩍($1949$⨳⩥⨓$2248$)⪛(⊄⩳↩(∥⊫$1062$))∑⇟⊟(⨑⩽⪐($2037$/$1297$))⨟⋌⩍($2846$⫥∨⫟$5493$↺$1045$⨐⩸⫘$2289$)","expression":"(≮⫘↔110000000100-≮⫘↔100011111100)⨟⋌⩍(≮⫘↔11110011101⨳⩥⨓≮⫘↔100011001000)⪛(⊄⩳↩(∥⊫≮⫘↔10000100110))∑⇟⊟(⨑⩽⪐(≮⫘↔11111110101/≮⫘↔10100010001))⨟⋌⩍(≮⫘↔101100011110⫥∨⫟≮⫘↔1010101110101↺≮⫘↔10000010101⨐⩸⫘≮⫘↔100011110001)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1888,"operation_count":13,"complexity_ratio":145.23076923076923,"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":3076,"base":2},"right_expr":{"type":"numeric_atoms","value":2300,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1949,"base":2},"right_expr":{"type":"numeric_atoms","value":2248,"base":2}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1062,"base":2}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2037,"base":2},"right_expr":{"type":"numeric_atoms","value":1297,"base":2}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2846,"base":2},"right_expr":{"type":"numeric_atoms","value":5493,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1045,"base":2},"right_expr":{"type":"numeric_atoms","value":2289,"base":2}}}}},"used_operators":["U7g4x0WXJJ","uFcxV4UQCh","rGHVDoGpnC","rysDP5nf3Z","nCS4ZIUYfx","8w2t5hMYqp","P8v4zCKN1o","AF7qkfDlqP","XhwjNDsVaA","7j4O788W3g","KYD54nUTWz","fu6greOZ01"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3076","layer":4},{"info":"number node, value=2300","layer":4},{"info":"compute binary expreesion, left_input=3076, right_input=2300, op_id = rysDP5nf3Z binary_op_definition= 'None', output=776","layer":3},{"info":"number node, value=1949","layer":4},{"info":"number node, value=2248","layer":4},{"info":"compute binary expreesion, left_input=1949, right_input=2248, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=299","layer":3},{"info":"compute binary expreesion, left_input=776, right_input=299, 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=1062","layer":4},{"info":"compute unary expreesion, input=1062, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1930","layer":3},{"info":"compute unary expreesion, input=1930, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5790","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-5790, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":1},{"info":"number node, value=2037","layer":4},{"info":"number node, value=1297","layer":4},{"info":"compute binary expreesion, left_input=2037, right_input=1297, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=787","layer":2},{"info":"number node, value=2846","layer":4},{"info":"number node, value=5493","layer":4},{"info":"compute binary expreesion, left_input=2846, right_input=5493, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1045","layer":4},{"info":"number node, value=2289","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=2289, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=787, 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=0, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110000000100-≮⫘↔100011111100)⨟⋌⩍(≮⫘↔11110011101⨳⩥⨓≮⫘↔100011001000)⪛(⊄⩳↩(∥⊫≮⫘↔10000100110))∑⇟⊟(⨑⩽⪐(≮⫘↔11111110101/≮⫘↔10100010001))⨟⋌⩍(≮⫘↔101100011110⫥∨⫟≮⫘↔1010101110101↺≮⫘↔10000010101⨐⩸⫘≮⫘↔100011110001)=NaN","reverse_text":"NaN=(≮⫘↔110000000100-≮⫘↔100011111100)⨟⋌⩍(≮⫘↔11110011101⨳⩥⨓≮⫘↔100011001000)⪛(⊄⩳↩(∥⊫≮⫘↔10000100110))∑⇟⊟(⨑⩽⪐(≮⫘↔11111110101/≮⫘↔10100010001))⨟⋌⩍(≮⫘↔101100011110⫥∨⫟≮⫘↔1010101110101↺≮⫘↔10000010101⨐⩸⫘≮⫘↔100011110001)","cot":[{"info":"≮⫘↔110000000100-≮⫘↔100011111100=≮⫘↔1100001000","layer":3},{"info":"≮⫘↔11110011101⨳⩥⨓≮⫘↔100011001000=≮⫘↔100101011","layer":3},{"info":"≮⫘↔1100001000⨟⋌⩍≮⫘↔100101011=≮⫘↔0","layer":2},{"info":"∥⊫≮⫘↔10000100110=≮⫘↔11110001010","layer":3},{"info":"⊄⩳↩≮⫘↔11110001010=≮⫘↔-1011010011110","layer":2},{"info":"≮⫘↔0⪛≮⫘↔-1011010011110=≮⫘↔0","layer":1},{"info":"≮⫘↔11111110101/≮⫘↔10100010001=≮⫘↔1","layer":3},{"info":"⨑⩽⪐≮⫘↔1=≮⫘↔1100010011","layer":2},{"info":"≮⫘↔101100011110⫥∨⫟≮⫘↔1010101110101=NaN","layer":3},{"info":"≮⫘↔10000010101⨐⩸⫘≮⫘↔100011110001=NaN","layer":3},{"info":"NaN↺NaN=NaN","layer":2},{"info":"≮⫘↔1100010011⨟⋌⩍NaN=NaN","layer":1},{"info":"≮⫘↔0∑⇟⊟NaN=NaN","layer":0}]}
{"id":221,"expression_no_base_symbol":"⇁⨣⪵(((⪝⪂⫅$2533$)⪨≂($1053$⫡⨏$4040$))⇼⇔∾($1381$-$6012$)⨪↰⇹($1143$⩠))","expression":"⇁⨣⪵(((⪝⪂⫅≮⫘↔100111100101)⪨≂(≮⫘↔10000011101⫡⨏≮⫘↔111111001000))⇼⇔∾(≮⫘↔10101100101-≮⫘↔1011101111100)⨪↰⇹(≮⫘↔10001110111⩠))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4815,"operation_count":8,"complexity_ratio":601.875,"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":2533,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1053,"base":2},"right_expr":{"type":"numeric_atoms","value":4040,"base":2}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1381,"base":2},"right_expr":{"type":"numeric_atoms","value":6012,"base":2}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1143,"base":2}}}}},"used_operators":["inkyxCbjAn","tifHPKVTfV","sdazOOVcIp","XTarYq4gQB","QMFrweE19q","tmPS8pqC7x","rysDP5nf3Z","sJAwomhLZr"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2533","layer":4},{"info":"compute unary expreesion, input=2533, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-372351","layer":3},{"info":"number node, value=1053","layer":4},{"info":"number node, value=4040","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=4040, 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=14128","layer":3},{"info":"compute binary expreesion, left_input=-372351, right_input=14128, 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=-772856","layer":2},{"info":"number node, value=1381","layer":4},{"info":"number node, value=6012","layer":4},{"info":"compute binary expreesion, left_input=1381, right_input=6012, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4631","layer":3},{"info":"number node, value=1143","layer":4},{"info":"compute unary expreesion, input=1143, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4631, 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=4631","layer":2},{"info":"compute binary expreesion, left_input=-772856, right_input=4631, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=777487","layer":1},{"info":"compute unary expreesion, input=777487, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⇁⨣⪵(((⪝⪂⫅≮⫘↔100111100101)⪨≂(≮⫘↔10000011101⫡⨏≮⫘↔111111001000))⇼⇔∾(≮⫘↔10101100101-≮⫘↔1011101111100)⨪↰⇹(≮⫘↔10001110111⩠))=NaN","reverse_text":"NaN=⇁⨣⪵(((⪝⪂⫅≮⫘↔100111100101)⪨≂(≮⫘↔10000011101⫡⨏≮⫘↔111111001000))⇼⇔∾(≮⫘↔10101100101-≮⫘↔1011101111100)⨪↰⇹(≮⫘↔10001110111⩠))","cot":[{"info":"⪝⪂⫅≮⫘↔100111100101=≮⫘↔-1011010111001111111","layer":3},{"info":"≮⫘↔10000011101⫡⨏≮⫘↔111111001000=≮⫘↔11011100110000","layer":3},{"info":"≮⫘↔-1011010111001111111⪨≂≮⫘↔11011100110000=≮⫘↔-10111100101011111000","layer":2},{"info":"≮⫘↔10101100101-≮⫘↔1011101111100=≮⫘↔-1001000010111","layer":3},{"info":"≮⫘↔10001110111⩠=≮⫘↔0","layer":3},{"info":"≮⫘↔-1001000010111⨪↰⇹≮⫘↔0=≮⫘↔1001000010111","layer":2},{"info":"≮⫘↔-10111100101011111000⇼⇔∾≮⫘↔1001000010111=≮⫘↔10111101110100001111","layer":1},{"info":"⇁⨣⪵≮⫘↔10111101110100001111=NaN","layer":0}]}
{"id":222,"expression_no_base_symbol":"⪲⇎((≉$8550$)⨰($1028$⨽$1291$)⨵⪆($5030$⨽$1901$)⩷∴($5234$∲⫓$1291$))","expression":"⪲⇎((≉≮⫘↔10000101100110)⨰(≮⫘↔10000000100⨽≮⫘↔10100001011)⨵⪆(≮⫘↔1001110100110⨽≮⫘↔11101101101)⩷∴(≮⫘↔1010001110010∲⫓≮⫘↔10100001011))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6095,"operation_count":8,"complexity_ratio":761.875,"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":8550,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1028,"base":2},"right_expr":{"type":"numeric_atoms","value":1291,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5030,"base":2},"right_expr":{"type":"numeric_atoms","value":1901,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5234,"base":2},"right_expr":{"type":"numeric_atoms","value":1291,"base":2}}}}},"used_operators":["XPYlsWDdGa","2DQ55sFlQl","eewbuw0ToL","e1ybzncUwg","8HhzD0ZcuI","9FxExcQeMw","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔101000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8550","layer":4},{"info":"compute unary expreesion, input=8550, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=9081","layer":3},{"info":"number node, value=1028","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=1291, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3172911","layer":3},{"info":"compute binary expreesion, left_input=9081, right_input=-3172911, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3182002","layer":2},{"info":"number node, value=5030","layer":4},{"info":"number node, value=1901","layer":4},{"info":"compute binary expreesion, left_input=5030, right_input=1901, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-75907089","layer":3},{"info":"number node, value=5234","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=5234, right_input=1291, 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=-75907089, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-151814210","layer":2},{"info":"compute binary expreesion, left_input=3182002, right_input=-151814210, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=320","layer":0}],"base":2,"result_base":2,"text":"⪲⇎((≉≮⫘↔10000101100110)⨰(≮⫘↔10000000100⨽≮⫘↔10100001011)⨵⪆(≮⫘↔1001110100110⨽≮⫘↔11101101101)⩷∴(≮⫘↔1010001110010∲⫓≮⫘↔10100001011))=≮⫘↔101000000","reverse_text":"≮⫘↔101000000=⪲⇎((≉≮⫘↔10000101100110)⨰(≮⫘↔10000000100⨽≮⫘↔10100001011)⨵⪆(≮⫘↔1001110100110⨽≮⫘↔11101101101)⩷∴(≮⫘↔1010001110010∲⫓≮⫘↔10100001011))","cot":[{"info":"≉≮⫘↔10000101100110=≮⫘↔10001101111001","layer":3},{"info":"≮⫘↔10000000100⨽≮⫘↔10100001011=≮⫘↔-1100000110101000101111","layer":3},{"info":"≮⫘↔10001101111001⨰≮⫘↔-1100000110101000101111=≮⫘↔1100001000110110110010","layer":2},{"info":"≮⫘↔1001110100110⨽≮⫘↔11101101101=≮⫘↔-100100001100100000000010001","layer":3},{"info":"≮⫘↔1010001110010∲⫓≮⫘↔10100001011=≮⫘↔0","layer":3},{"info":"≮⫘↔-100100001100100000000010001⩷∴≮⫘↔0=≮⫘↔-1001000011001000000001000010","layer":2},{"info":"≮⫘↔1100001000110110110010⨵⪆≮⫘↔-1001000011001000000001000010=≮⫘↔10100000","layer":1},{"info":"⪲⇎≮⫘↔10100000=≮⫘↔101000000","layer":0}]}
{"id":223,"expression_no_base_symbol":"(↩$2418$⨪↰⇹$1761$⫸⊐($1562$⨵⪆$7082$))+(($2420$∸)⪨≂$7881$⫥∨⫟$1904$)⪮%⊝(($5018$⨵⪆$3061$)⪘⫢$1162$∀⇚≩$2307$)","expression":"(↩≮⫘↔100101110010⨪↰⇹≮⫘↔11011100001⫸⊐(≮⫘↔11000011010⨵⪆≮⫘↔1101110101010))+((≮⫘↔100101110100∸)⪨≂≮⫘↔1111011001001⫥∨⫟≮⫘↔11101110000)⪮%⊝((≮⫘↔1001110011010⨵⪆≮⫘↔101111110101)⪘⫢≮⫘↔10010001010∀⇚≩≮⫘↔100100000011)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10949,"operation_count":12,"complexity_ratio":912.4166666666666,"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":2418,"base":2},"right_expr":{"type":"numeric_atoms","value":1761,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1562,"base":2},"right_expr":{"type":"numeric_atoms","value":7082,"base":2}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2420,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7881,"base":2},"right_expr":{"type":"numeric_atoms","value":1904,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5018,"base":2},"right_expr":{"type":"numeric_atoms","value":3061,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1162,"base":2},"right_expr":{"type":"numeric_atoms","value":2307,"base":2}}}}},"used_operators":["W4YGzv6Whe","jLgFTUHLKL","mqXw5SEYmG","tmPS8pqC7x","2DQ55sFlQl","IWmyXbctLI","sdazOOVcIp","o20kRiQErp","KYD54nUTWz","oacrs7FA3X","LRNGc0VcxI"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2418","layer":4},{"info":"number node, value=1761","layer":4},{"info":"compute binary expreesion, left_input=2418, right_input=1761, 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=2418","layer":3},{"info":"number node, value=1562","layer":4},{"info":"number node, value=7082","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=7082, 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=2418, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-1340","layer":1},{"info":"number node, value=2420","layer":4},{"info":"compute unary expreesion, input=2420, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=7881","layer":4},{"info":"number node, value=1904","layer":4},{"info":"compute binary expreesion, left_input=7881, right_input=1904, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=177, 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":2},{"info":"number node, value=5018","layer":4},{"info":"number node, value=3061","layer":4},{"info":"compute binary expreesion, left_input=5018, right_input=3061, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1162","layer":4},{"info":"number node, value=2307","layer":4},{"info":"compute binary expreesion, left_input=1162, right_input=2307, 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=160, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1340, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↩≮⫘↔100101110010⨪↰⇹≮⫘↔11011100001⫸⊐(≮⫘↔11000011010⨵⪆≮⫘↔1101110101010))+((≮⫘↔100101110100∸)⪨≂≮⫘↔1111011001001⫥∨⫟≮⫘↔11101110000)⪮%⊝((≮⫘↔1001110011010⨵⪆≮⫘↔101111110101)⪘⫢≮⫘↔10010001010∀⇚≩≮⫘↔100100000011)=NaN","reverse_text":"NaN=(↩≮⫘↔100101110010⨪↰⇹≮⫘↔11011100001⫸⊐(≮⫘↔11000011010⨵⪆≮⫘↔1101110101010))+((≮⫘↔100101110100∸)⪨≂≮⫘↔1111011001001⫥∨⫟≮⫘↔11101110000)⪮%⊝((≮⫘↔1001110011010⨵⪆≮⫘↔101111110101)⪘⫢≮⫘↔10010001010∀⇚≩≮⫘↔100100000011)","cot":[{"info":"≮⫘↔100101110010⨪↰⇹≮⫘↔11011100001=≮⫘↔100101110010","layer":3},{"info":"≮⫘↔11000011010⨵⪆≮⫘↔1101110101010=≮⫘↔10100000","layer":3},{"info":"≮⫘↔100101110010⫸⊐≮⫘↔10100000=≮⫘↔1000000011","layer":2},{"info":"↩≮⫘↔1000000011=≮⫘↔-10100111100","layer":1},{"info":"≮⫘↔100101110100∸=≮⫘↔10110001","layer":3},{"info":"≮⫘↔1111011001001⫥∨⫟≮⫘↔11101110000=NaN","layer":3},{"info":"≮⫘↔10110001⪨≂NaN=NaN","layer":2},{"info":"≮⫘↔1001110011010⨵⪆≮⫘↔101111110101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10010001010∀⇚≩≮⫘↔100100000011=NaN","layer":3},{"info":"≮⫘↔10100000⪘⫢NaN=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"≮⫘↔-10100111100+NaN=NaN","layer":0}]}
{"id":224,"expression_no_base_symbol":"⫓⪴(($1796$%$4428$)∲⫓$3142$≭$5795$)⊴((+⊝⨔$5500$)⊭∹↮)","expression":"⫓⪴((≮⫘↔11100000100%≮⫘↔1000101001100)∲⫓≮⫘↔110001000110≭≮⫘↔1011010100011)⊴((+⊝⨔≮⫘↔1010101111100)⊭∹↮)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3101,"operation_count":7,"complexity_ratio":443.0,"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":1796,"base":2},"right_expr":{"type":"numeric_atoms","value":4428,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3142,"base":2},"right_expr":{"type":"numeric_atoms","value":5795,"base":2}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":5500,"base":2}}}}},"used_operators":["eLxqMNBOBk","Nsiff2A1zJ","i8ToyICDmI","k8jYdgA6NY","rxpJgHHUmx","xNBdhnnwKq","DhbWaqg5eL"],"dependent_operators":["9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1796","layer":4},{"info":"number node, value=4428","layer":4},{"info":"compute binary expreesion, left_input=1796, right_input=4428, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1796","layer":3},{"info":"number node, value=3142","layer":4},{"info":"number node, value=5795","layer":4},{"info":"compute binary expreesion, left_input=3142, right_input=5795, 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=1796, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=5500","layer":4},{"info":"compute unary expreesion, input=5500, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3044","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3044, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⫓⪴((≮⫘↔11100000100%≮⫘↔1000101001100)∲⫓≮⫘↔110001000110≭≮⫘↔1011010100011)⊴((+⊝⨔≮⫘↔1010101111100)⊭∹↮)=NaN","reverse_text":"NaN=⫓⪴((≮⫘↔11100000100%≮⫘↔1000101001100)∲⫓≮⫘↔110001000110≭≮⫘↔1011010100011)⊴((+⊝⨔≮⫘↔1010101111100)⊭∹↮)","cot":[{"info":"≮⫘↔11100000100%≮⫘↔1000101001100=≮⫘↔11100000100","layer":3},{"info":"≮⫘↔110001000110≭≮⫘↔1011010100011=NaN","layer":3},{"info":"≮⫘↔11100000100∲⫓NaN=NaN","layer":2},{"info":"+⊝⨔≮⫘↔1010101111100=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔10111110010⊭∹↮=≮⫘↔101111100100","layer":2},{"info":"NaN⊴≮⫘↔101111100100=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":225,"expression_no_base_symbol":"⨈⫕((∂$4573$)⋥≓≎(⨵≀≌$2002$)-($1242$∲⫓$4487$)≭(↔$1290$))","expression":"⨈⫕((∂≮⫘↔1000111011101)⋥≓≎(⨵≀≌≮⫘↔11111010010)-(≮⫘↔10011011010∲⫓≮⫘↔1000110000111)≭(↔≮⫘↔10100001010))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":403,"operation_count":8,"complexity_ratio":50.375,"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":4573,"base":2}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2002,"base":2}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1242,"base":2},"right_expr":{"type":"numeric_atoms","value":4487,"base":2}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1290,"base":2}}}}},"used_operators":["megm06wKyl","rysDP5nf3Z","Qy55tPpLXF","Uaa54Peajs","srAu1WTS94","rxpJgHHUmx","i8ToyICDmI","ruOEQAzv1W"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"≮⫘↔-10101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4573","layer":4},{"info":"compute unary expreesion, input=4573, 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=2002","layer":4},{"info":"compute unary expreesion, input=2002, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6006","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6006, 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=1242","layer":4},{"info":"number node, value=4487","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=4487, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1290","layer":4},{"info":"compute unary expreesion, input=1290, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1017","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1017, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":2,"result_base":2,"text":"⨈⫕((∂≮⫘↔1000111011101)⋥≓≎(⨵≀≌≮⫘↔11111010010)-(≮⫘↔10011011010∲⫓≮⫘↔1000110000111)≭(↔≮⫘↔10100001010))=≮⫘↔-10101","reverse_text":"≮⫘↔-10101=⨈⫕((∂≮⫘↔1000111011101)⋥≓≎(⨵≀≌≮⫘↔11111010010)-(≮⫘↔10011011010∲⫓≮⫘↔1000110000111)≭(↔≮⫘↔10100001010))","cot":[{"info":"∂≮⫘↔1000111011101=NaN","layer":3},{"info":"⨵≀≌≮⫘↔11111010010=≮⫘↔-1011101110110","layer":3},{"info":"NaN⋥≓≎≮⫘↔-1011101110110=≮⫘↔1000011","layer":2},{"info":"≮⫘↔10011011010∲⫓≮⫘↔1000110000111=≮⫘↔0","layer":3},{"info":"↔≮⫘↔10100001010=≮⫘↔-1111111001","layer":3},{"info":"≮⫘↔0≭≮⫘↔-1111111001=NaN","layer":2},{"info":"≮⫘↔1000011-NaN=NaN","layer":1},{"info":"⨈⫕NaN=≮⫘↔-10101","layer":0}]}
{"id":226,"expression_no_base_symbol":"(($2209$⫡⨏$1273$)∼($2114$⇷$3897$)⪒(⨰⫟⨤$2747$)⋓($3066$≦≮≮))⊘","expression":"((≮⫘↔100010100001⫡⨏≮⫘↔10011111001)∼(≮⫘↔100001000010⇷≮⫘↔111100111001)⪒(⨰⫟⨤≮⫘↔101010111011)⋓(≮⫘↔101111111010≦≮≮))⊘","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":40080,"operation_count":8,"complexity_ratio":5010.0,"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":2209,"base":2},"right_expr":{"type":"numeric_atoms","value":1273,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2114,"base":2},"right_expr":{"type":"numeric_atoms","value":3897,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2747,"base":2}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3066,"base":2}}}}},"used_operators":["gu96TGCTMs","f6k1SAg4EE","DyGG3AbaNP","QMFrweE19q","mp7IySMOzn","T2fj7uvVaJ","Tw270M8GLb","D4vGDi5EA2"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2209","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=2209, right_input=1273, 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=14374","layer":3},{"info":"number node, value=2114","layer":4},{"info":"number node, value=3897","layer":4},{"info":"compute binary expreesion, left_input=2114, right_input=3897, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7794","layer":3},{"info":"compute binary expreesion, left_input=14374, right_input=7794, 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=2747","layer":4},{"info":"compute unary expreesion, input=2747, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=3066","layer":4},{"info":"compute unary expreesion, input=3066, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-9198","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9198, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100010100001⫡⨏≮⫘↔10011111001)∼(≮⫘↔100001000010⇷≮⫘↔111100111001)⪒(⨰⫟⨤≮⫘↔101010111011)⋓(≮⫘↔101111111010≦≮≮))⊘=NaN","reverse_text":"NaN=((≮⫘↔100010100001⫡⨏≮⫘↔10011111001)∼(≮⫘↔100001000010⇷≮⫘↔111100111001)⪒(⨰⫟⨤≮⫘↔101010111011)⋓(≮⫘↔101111111010≦≮≮))⊘","cot":[{"info":"≮⫘↔100010100001⫡⨏≮⫘↔10011111001=≮⫘↔11100000100110","layer":3},{"info":"≮⫘↔100001000010⇷≮⫘↔111100111001=≮⫘↔1111001110010","layer":3},{"info":"≮⫘↔11100000100110∼≮⫘↔1111001110010=NaN","layer":2},{"info":"⨰⫟⨤≮⫘↔101010111011=NaN","layer":3},{"info":"≮⫘↔101111111010≦≮≮=≮⫘↔-10001111101110","layer":3},{"info":"NaN⋓≮⫘↔-10001111101110=≮⫘↔0","layer":2},{"info":"NaN⪒≮⫘↔0=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
{"id":227,"expression_no_base_symbol":"(↩$1043$⨪↰⇹$2983$)⋓((↣≠⋷$2094$)⨐⩸⫘($2152$⪄$1907$))*(-$4995$⩷∴$3518$+⇶⊼($2028$⋳⪒$1920$))","expression":"(↩≮⫘↔10000010011⨪↰⇹≮⫘↔101110100111)⋓((↣≠⋷≮⫘↔100000101110)⨐⩸⫘(≮⫘↔100001101000⪄≮⫘↔11101110011))*(-≮⫘↔1001110000011⩷∴≮⫘↔110110111110+⇶⊼(≮⫘↔11111101100⋳⪒≮⫘↔11110000000))","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":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1043,"base":2},"right_expr":{"type":"numeric_atoms","value":2983,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2094,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2152,"base":2},"right_expr":{"type":"numeric_atoms","value":1907,"base":2}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4995,"base":2},"right_expr":{"type":"numeric_atoms","value":3518,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2028,"base":2},"right_expr":{"type":"numeric_atoms","value":1920,"base":2}}}}},"used_operators":["9HNa5Wba9A","T2fj7uvVaJ","jLgFTUHLKL","tmPS8pqC7x","fu6greOZ01","Asc51vEJeQ","SUmda5xLS4","t8gj7n24qd","TpPTUOHfaN","9FxExcQeMw","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rJVOvQCfKK","3ViojmjbAp","XhwjNDsVaA","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1043","layer":4},{"info":"number node, value=2983","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=2983, 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=1043","layer":3},{"info":"compute unary expreesion, input=1043, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5564","layer":2},{"info":"number node, value=2094","layer":4},{"info":"compute unary expreesion, input=2094, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2152","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=2152, right_input=1907, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-322213","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-322213, 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=-5564, 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":1},{"info":"number node, value=4995","layer":4},{"info":"number node, value=3518","layer":4},{"info":"compute binary expreesion, left_input=4995, right_input=3518, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2922","layer":3},{"info":"number node, value=2028","layer":4},{"info":"number node, value=1920","layer":4},{"info":"compute binary expreesion, left_input=2028, right_input=1920, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1849","layer":3},{"info":"compute binary expreesion, left_input=2922, right_input=1849, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↩≮⫘↔10000010011⨪↰⇹≮⫘↔101110100111)⋓((↣≠⋷≮⫘↔100000101110)⨐⩸⫘(≮⫘↔100001101000⪄≮⫘↔11101110011))*(-≮⫘↔1001110000011⩷∴≮⫘↔110110111110+⇶⊼(≮⫘↔11111101100⋳⪒≮⫘↔11110000000))=NaN","reverse_text":"NaN=(↩≮⫘↔10000010011⨪↰⇹≮⫘↔101110100111)⋓((↣≠⋷≮⫘↔100000101110)⨐⩸⫘(≮⫘↔100001101000⪄≮⫘↔11101110011))*(-≮⫘↔1001110000011⩷∴≮⫘↔110110111110+⇶⊼(≮⫘↔11111101100⋳⪒≮⫘↔11110000000))","cot":[{"info":"≮⫘↔10000010011⨪↰⇹≮⫘↔101110100111=≮⫘↔10000010011","layer":3},{"info":"↩≮⫘↔10000010011=≮⫘↔-1010110111100","layer":2},{"info":"↣≠⋷≮⫘↔100000101110=NaN","layer":3},{"info":"≮⫘↔100001101000⪄≮⫘↔11101110011=≮⫘↔-1001110101010100101","layer":3},{"info":"NaN⨐⩸⫘≮⫘↔-1001110101010100101=NaN","layer":2},{"info":"≮⫘↔-1010110111100⋓NaN=NaN","layer":1},{"info":"≮⫘↔1001110000011⩷∴≮⫘↔110110111110=≮⫘↔101101101010","layer":3},{"info":"≮⫘↔11111101100⋳⪒≮⫘↔11110000000=≮⫘↔11100111001","layer":3},{"info":"≮⫘↔101101101010+⇶⊼≮⫘↔11100111001=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":228,"expression_no_base_symbol":"⨈⫕((($1925$%$1467$)⊘)+(∂(≦∁$2451$)))","expression":"⨈⫕(((≮⫘↔11110000101%≮⫘↔10110111011)⊘)+(∂(≦∁≮⫘↔100110010011)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":409,"operation_count":6,"complexity_ratio":68.16666666666667,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1925,"base":2},"right_expr":{"type":"numeric_atoms","value":1467,"base":2}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2451,"base":2}}}}},"used_operators":["megm06wKyl","W4YGzv6Whe","gu96TGCTMs","k8jYdgA6NY","Uaa54Peajs","9ICcGScMcE"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"≮⫘↔-10101","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1925","layer":4},{"info":"number node, value=1467","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=1467, op_id = k8jYdgA6NY binary_op_definition= 'None', output=458","layer":3},{"info":"compute unary expreesion, input=458, 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":2},{"info":"number node, value=2451","layer":4},{"info":"compute unary expreesion, input=2451, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2451","layer":3},{"info":"compute unary expreesion, input=2451, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":2,"result_base":2,"text":"⨈⫕(((≮⫘↔11110000101%≮⫘↔10110111011)⊘)+(∂(≦∁≮⫘↔100110010011)))=≮⫘↔-10101","reverse_text":"≮⫘↔-10101=⨈⫕(((≮⫘↔11110000101%≮⫘↔10110111011)⊘)+(∂(≦∁≮⫘↔100110010011)))","cot":[{"info":"≮⫘↔11110000101%≮⫘↔10110111011=≮⫘↔111001010","layer":3},{"info":"≮⫘↔111001010⊘=≮⫘↔0","layer":2},{"info":"≦∁≮⫘↔100110010011=≮⫘↔100110010011","layer":3},{"info":"∂≮⫘↔100110010011=NaN","layer":2},{"info":"≮⫘↔0+NaN=NaN","layer":1},{"info":"⨈⫕NaN=≮⫘↔-10101","layer":0}]}
{"id":229,"expression_no_base_symbol":"(($6094$≫≃)⊭∹↮)⨎(+⊝⨔($2350$↛⩡⫤))⪒(($1327$⊭↱$2304$)⪮%⊝($2031$⨓$2755$)⩤)","expression":"((≮⫘↔1011111001110≫≃)⊭∹↮)⨎(+⊝⨔(≮⫘↔100100101110↛⩡⫤))⪒((≮⫘↔10100101111⊭↱≮⫘↔100100000000)⪮%⊝(≮⫘↔11111101111⨓≮⫘↔101011000011)⩤)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9998,"operation_count":10,"complexity_ratio":999.8,"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":6094,"base":2}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2350,"base":2}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1327,"base":2},"right_expr":{"type":"numeric_atoms","value":2304,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2031,"base":2},"right_expr":{"type":"numeric_atoms","value":2755,"base":2}}}}},"used_operators":["f6k1SAg4EE","rJVOvQCfKK","xNBdhnnwKq","X99M06cbEe","DhbWaqg5eL","FU0Cs4j7VP","Z2TMIBDE3Q","IWmyXbctLI","COABgblf1C","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"≮⫘↔101010011000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6094","layer":4},{"info":"compute unary expreesion, input=6094, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=13589","layer":3},{"info":"compute unary expreesion, input=13589, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=27178","layer":2},{"info":"number node, value=2350","layer":4},{"info":"compute unary expreesion, input=2350, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-350939","layer":3},{"info":"compute unary expreesion, input=-350939, 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=27178, right_input=1522, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1522","layer":1},{"info":"number node, value=1327","layer":4},{"info":"number node, value=2304","layer":4},{"info":"compute binary expreesion, left_input=1327, right_input=2304, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1959","layer":3},{"info":"number node, value=2031","layer":4},{"info":"number node, value=2755","layer":4},{"info":"compute binary expreesion, left_input=2031, right_input=2755, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2758","layer":3},{"info":"compute binary expreesion, left_input=1959, right_input=-2758, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4234","layer":2},{"info":"compute unary expreesion, input=4234, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4234","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=-4234, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=2712","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1011111001110≫≃)⊭∹↮)⨎(+⊝⨔(≮⫘↔100100101110↛⩡⫤))⪒((≮⫘↔10100101111⊭↱≮⫘↔100100000000)⪮%⊝(≮⫘↔11111101111⨓≮⫘↔101011000011)⩤)=≮⫘↔101010011000","reverse_text":"≮⫘↔101010011000=((≮⫘↔1011111001110≫≃)⊭∹↮)⨎(+⊝⨔(≮⫘↔100100101110↛⩡⫤))⪒((≮⫘↔10100101111⊭↱≮⫘↔100100000000)⪮%⊝(≮⫘↔11111101111⨓≮⫘↔101011000011)⩤)","cot":[{"info":"≮⫘↔1011111001110≫≃=≮⫘↔11010100010101","layer":3},{"info":"≮⫘↔11010100010101⊭∹↮=≮⫘↔110101000101010","layer":2},{"info":"≮⫘↔100100101110↛⩡⫤=≮⫘↔-1010101101011011011","layer":3},{"info":"+⊝⨔≮⫘↔-1010101101011011011=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔110101000101010⨎≮⫘↔10111110010=≮⫘↔10111110010","layer":1},{"info":"≮⫘↔10100101111⊭↱≮⫘↔100100000000=≮⫘↔11110100111","layer":3},{"info":"≮⫘↔11111101111⨓≮⫘↔101011000011=≮⫘↔-101011000110","layer":3},{"info":"≮⫘↔11110100111⪮%⊝≮⫘↔-101011000110=≮⫘↔1000010001010","layer":2},{"info":"≮⫘↔1000010001010⩤=≮⫘↔-1000010001010","layer":1},{"info":"≮⫘↔10111110010⪒≮⫘↔-1000010001010=≮⫘↔101010011000","layer":0}]}
{"id":230,"expression_no_base_symbol":"(($1610$⩨$2137$)∀⇚≩($1020$⨳⩥⨓$1061$)⪄(⨈⫕$1538$)⊴(-$1863$))⩷∴($1386$∑⇟⊟$4047$⩷∴($1658$⊉≛↸$1181$))⨪↰⇹($1048$∲⫓$1147$)⪘⫢(↔$1020$)","expression":"((≮⫘↔11001001010⩨≮⫘↔100001011001)∀⇚≩(≮⫘↔1111111100⨳⩥⨓≮⫘↔10000100101)⪄(⨈⫕≮⫘↔11000000010)⊴(-≮⫘↔11101000111))⩷∴(≮⫘↔10101101010∑⇟⊟≮⫘↔111111001111⩷∴(≮⫘↔11001111010⊉≛↸≮⫘↔10010011101))⨪↰⇹(≮⫘↔10000011000∲⫓≮⫘↔10001111011)⪘⫢(↔≮⫘↔1111111100)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2410,"operation_count":15,"complexity_ratio":160.66666666666666,"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":1610,"base":2},"right_expr":{"type":"numeric_atoms","value":2137,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1020,"base":2},"right_expr":{"type":"numeric_atoms","value":1061,"base":2}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1538,"base":2}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1863,"base":2}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1386,"base":2},"right_expr":{"type":"numeric_atoms","value":4047,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1658,"base":2},"right_expr":{"type":"numeric_atoms","value":1181,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1048,"base":2},"right_expr":{"type":"numeric_atoms","value":1147,"base":2}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1020,"base":2}}}}},"used_operators":["9FxExcQeMw","SUmda5xLS4","LRNGc0VcxI","2DlMacCsIx","nCS4ZIUYfx","Nsiff2A1zJ","megm06wKyl","t8gj7n24qd","tmPS8pqC7x","U7g4x0WXJJ","DZ8iAZOCBD","oacrs7FA3X","i8ToyICDmI","ruOEQAzv1W"],"dependent_operators":["rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","X99M06cbEe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rJVOvQCfKK","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1610","layer":4},{"info":"number node, value=2137","layer":4},{"info":"compute binary expreesion, left_input=1610, right_input=2137, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1020","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=1061, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=41","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=41, 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=-4531","layer":2},{"info":"number node, value=1538","layer":4},{"info":"compute unary expreesion, input=1538, 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=1863","layer":4},{"info":"compute unary expreesion, input=1863, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1863","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-1863, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4531, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=1386","layer":4},{"info":"number node, value=4047","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=4047, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1658","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=1658, right_input=1181, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3316","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3316, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=1048","layer":4},{"info":"number node, value=1147","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=1147, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1020","layer":4},{"info":"compute unary expreesion, input=1020, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-747","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-747, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11001001010⩨≮⫘↔100001011001)∀⇚≩(≮⫘↔1111111100⨳⩥⨓≮⫘↔10000100101)⪄(⨈⫕≮⫘↔11000000010)⊴(-≮⫘↔11101000111))⩷∴(≮⫘↔10101101010∑⇟⊟≮⫘↔111111001111⩷∴(≮⫘↔11001111010⊉≛↸≮⫘↔10010011101))⨪↰⇹(≮⫘↔10000011000∲⫓≮⫘↔10001111011)⪘⫢(↔≮⫘↔1111111100)=NaN","reverse_text":"NaN=((≮⫘↔11001001010⩨≮⫘↔100001011001)∀⇚≩(≮⫘↔1111111100⨳⩥⨓≮⫘↔10000100101)⪄(⨈⫕≮⫘↔11000000010)⊴(-≮⫘↔11101000111))⩷∴(≮⫘↔10101101010∑⇟⊟≮⫘↔111111001111⩷∴(≮⫘↔11001111010⊉≛↸≮⫘↔10010011101))⨪↰⇹(≮⫘↔10000011000∲⫓≮⫘↔10001111011)⪘⫢(↔≮⫘↔1111111100)","cot":[{"info":"≮⫘↔11001001010⩨≮⫘↔100001011001=≮⫘↔-11","layer":3},{"info":"≮⫘↔1111111100⨳⩥⨓≮⫘↔10000100101=≮⫘↔101001","layer":3},{"info":"≮⫘↔-11∀⇚≩≮⫘↔101001=≮⫘↔-1000110110011","layer":2},{"info":"⨈⫕≮⫘↔11000000010=≮⫘↔-10101","layer":3},{"info":"-≮⫘↔11101000111=≮⫘↔-11101000111","layer":3},{"info":"≮⫘↔-10101⊴≮⫘↔-11101000111=NaN","layer":2},{"info":"≮⫘↔-1000110110011⪄NaN=≮⫘↔111110001011","layer":1},{"info":"≮⫘↔10101101010∑⇟⊟≮⫘↔111111001111=NaN","layer":3},{"info":"≮⫘↔11001111010⊉≛↸≮⫘↔10010011101=≮⫘↔110011110100","layer":3},{"info":"NaN⩷∴≮⫘↔110011110100=NaN","layer":2},{"info":"≮⫘↔10000011000∲⫓≮⫘↔10001111011=≮⫘↔0","layer":3},{"info":"↔≮⫘↔1111111100=≮⫘↔-1011101011","layer":3},{"info":"≮⫘↔0⪘⫢≮⫘↔-1011101011=≮⫘↔-1","layer":2},{"info":"NaN⨪↰⇹≮⫘↔-1=NaN","layer":1},{"info":"≮⫘↔111110001011⩷∴NaN=NaN","layer":0}]}
{"id":231,"expression_no_base_symbol":"(($2727$⪄$2205$)≎⊠⪸($1451$⇋≉))⨓($1618$⨸⪁$3240$)⇷($2809$⪨≂$2143$)∸","expression":"((≮⫘↔101010100111⪄≮⫘↔100010011101)≎⊠⪸(≮⫘↔10110101011⇋≉))⨓(≮⫘↔11001010010⨸⪁≮⫘↔110010101000)⇷(≮⫘↔101011111001⪨≂≮⫘↔100001011111)∸","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":139458,"operation_count":8,"complexity_ratio":17432.25,"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":2727,"base":2},"right_expr":{"type":"numeric_atoms","value":2205,"base":2}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1451,"base":2}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1618,"base":2},"right_expr":{"type":"numeric_atoms","value":3240,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2809,"base":2},"right_expr":{"type":"numeric_atoms","value":2143,"base":2}}}}},"used_operators":["o20kRiQErp","3ViojmjbAp","bJkvcejdHO","SUmda5xLS4","XIabStNQrY","mp7IySMOzn","g55IO6H4Gj","sdazOOVcIp"],"dependent_operators":["tmPS8pqC7x","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔10110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2727","layer":4},{"info":"number node, value=2205","layer":4},{"info":"compute binary expreesion, left_input=2727, right_input=2205, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-408505","layer":3},{"info":"number node, value=1451","layer":4},{"info":"compute unary expreesion, input=1451, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2804","layer":3},{"info":"compute binary expreesion, left_input=-408505, right_input=2804, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=105802795","layer":2},{"info":"number node, value=1618","layer":4},{"info":"number node, value=3240","layer":4},{"info":"compute binary expreesion, left_input=1618, right_input=3240, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9716","layer":3},{"info":"number node, value=2809","layer":4},{"info":"number node, value=2143","layer":4},{"info":"compute binary expreesion, left_input=2809, right_input=2143, 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=1434","layer":3},{"info":"compute binary expreesion, left_input=9716, right_input=1434, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2868","layer":2},{"info":"compute binary expreesion, left_input=105802795, right_input=2868, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2871","layer":1},{"info":"compute unary expreesion, input=-2871, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101010100111⪄≮⫘↔100010011101)≎⊠⪸(≮⫘↔10110101011⇋≉))⨓(≮⫘↔11001010010⨸⪁≮⫘↔110010101000)⇷(≮⫘↔101011111001⪨≂≮⫘↔100001011111)∸=≮⫘↔10110001","reverse_text":"≮⫘↔10110001=((≮⫘↔101010100111⪄≮⫘↔100010011101)≎⊠⪸(≮⫘↔10110101011⇋≉))⨓(≮⫘↔11001010010⨸⪁≮⫘↔110010101000)⇷(≮⫘↔101011111001⪨≂≮⫘↔100001011111)∸","cot":[{"info":"≮⫘↔101010100111⪄≮⫘↔100010011101=≮⫘↔-1100011101110111001","layer":3},{"info":"≮⫘↔10110101011⇋≉=≮⫘↔101011110100","layer":3},{"info":"≮⫘↔-1100011101110111001≎⊠⪸≮⫘↔101011110100=≮⫘↔110010011100110110000101011","layer":2},{"info":"≮⫘↔11001010010⨸⪁≮⫘↔110010101000=≮⫘↔10010111110100","layer":3},{"info":"≮⫘↔101011111001⪨≂≮⫘↔100001011111=≮⫘↔10110011010","layer":3},{"info":"≮⫘↔10010111110100⇷≮⫘↔10110011010=≮⫘↔101100110100","layer":2},{"info":"≮⫘↔110010011100110110000101011⨓≮⫘↔101100110100=≮⫘↔-101100110111","layer":1},{"info":"≮⫘↔-101100110111∸=≮⫘↔10110001","layer":0}]}
{"id":232,"expression_no_base_symbol":"((⊥($1207$≭$3423$))⫸⊐(≉$6567$⋳⪒$6293$))∀⇚≩((↽≂$4474$)⫥∨⫟($3722$⋥≓≎$5120$)⨸⪁($3737$⪛$1637$)⪢($3417$+$2780$))","expression":"((⊥(≮⫘↔10010110111≭≮⫘↔110101011111))⫸⊐(≉≮⫘↔1100110100111⋳⪒≮⫘↔1100010010101))∀⇚≩((↽≂≮⫘↔1000101111010)⫥∨⫟(≮⫘↔111010001010⋥≓≎≮⫘↔1010000000000)⨸⪁(≮⫘↔111010011001⪛≮⫘↔11001100101)⪢(≮⫘↔110101011001+≮⫘↔101011011100))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6383,"operation_count":13,"complexity_ratio":491.0,"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":1207,"base":2},"right_expr":{"type":"numeric_atoms","value":3423,"base":2}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6567,"base":2},"right_expr":{"type":"numeric_atoms","value":6293,"base":2}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4474,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3722,"base":2},"right_expr":{"type":"numeric_atoms","value":5120,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3737,"base":2},"right_expr":{"type":"numeric_atoms","value":1637,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3417,"base":2},"right_expr":{"type":"numeric_atoms","value":2780,"base":2}}}}},"used_operators":["LRNGc0VcxI","mqXw5SEYmG","Q3PJZHRvZv","rxpJgHHUmx","e1ybzncUwg","12rbrZMWeM","g55IO6H4Gj","KYD54nUTWz","u6S6b8DprG","Qy55tPpLXF","dWAJyo7jo9","uFcxV4UQCh","W4YGzv6Whe"],"dependent_operators":["X99M06cbEe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","fu6greOZ01","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1207","layer":4},{"info":"number node, value=3423","layer":4},{"info":"compute binary expreesion, left_input=1207, right_input=3423, 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":"number node, value=6567","layer":4},{"info":"number node, value=6293","layer":4},{"info":"compute binary expreesion, left_input=6567, right_input=6293, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6554","layer":3},{"info":"compute unary expreesion, input=6554, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=7085","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7085, 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=4474","layer":4},{"info":"compute unary expreesion, input=4474, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8948","layer":3},{"info":"number node, value=3722","layer":4},{"info":"number node, value=5120","layer":4},{"info":"compute binary expreesion, left_input=3722, right_input=5120, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6551","layer":3},{"info":"compute binary expreesion, left_input=-8948, right_input=6551, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3737","layer":4},{"info":"number node, value=1637","layer":4},{"info":"compute binary expreesion, left_input=3737, right_input=1637, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=463","layer":3},{"info":"number node, value=3417","layer":4},{"info":"number node, value=2780","layer":4},{"info":"compute binary expreesion, left_input=3417, right_input=2780, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6197","layer":3},{"info":"compute binary expreesion, left_input=463, right_input=6197, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⊥(≮⫘↔10010110111≭≮⫘↔110101011111))⫸⊐(≉≮⫘↔1100110100111⋳⪒≮⫘↔1100010010101))∀⇚≩((↽≂≮⫘↔1000101111010)⫥∨⫟(≮⫘↔111010001010⋥≓≎≮⫘↔1010000000000)⨸⪁(≮⫘↔111010011001⪛≮⫘↔11001100101)⪢(≮⫘↔110101011001+≮⫘↔101011011100))=NaN","reverse_text":"NaN=((⊥(≮⫘↔10010110111≭≮⫘↔110101011111))⫸⊐(≉≮⫘↔1100110100111⋳⪒≮⫘↔1100010010101))∀⇚≩((↽≂≮⫘↔1000101111010)⫥∨⫟(≮⫘↔111010001010⋥≓≎≮⫘↔1010000000000)⨸⪁(≮⫘↔111010011001⪛≮⫘↔11001100101)⪢(≮⫘↔110101011001+≮⫘↔101011011100))","cot":[{"info":"≮⫘↔10010110111≭≮⫘↔110101011111=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"≮⫘↔1100110100111⋳⪒≮⫘↔1100010010101=≮⫘↔1100110011010","layer":3},{"info":"≉≮⫘↔1100110011010=≮⫘↔1101110101101","layer":2},{"info":"NaN⫸⊐≮⫘↔1101110101101=NaN","layer":1},{"info":"↽≂≮⫘↔1000101111010=≮⫘↔-10001011110100","layer":3},{"info":"≮⫘↔111010001010⋥≓≎≮⫘↔1010000000000=≮⫘↔1100110010111","layer":3},{"info":"≮⫘↔-10001011110100⫥∨⫟≮⫘↔1100110010111=NaN","layer":2},{"info":"≮⫘↔111010011001⪛≮⫘↔11001100101=≮⫘↔111001111","layer":3},{"info":"≮⫘↔110101011001+≮⫘↔101011011100=≮⫘↔1100000110101","layer":3},{"info":"≮⫘↔111001111⪢≮⫘↔1100000110101=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":233,"expression_no_base_symbol":"(($2276$⪄$3900$)≎⊠⪸($1704$⫥∨⫟$3491$)⨐⩸⫘($1290$⨎$1801$)↬($1015$⩷∴$2665$))⊪","expression":"((≮⫘↔100011100100⪄≮⫘↔111100111100)≎⊠⪸(≮⫘↔11010101000⫥∨⫟≮⫘↔110110100011)⨐⩸⫘(≮⫘↔10100001010⨎≮⫘↔11100001001)↬(≮⫘↔1111110111⩷∴≮⫘↔101001101001))⊪","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":282,"operation_count":8,"complexity_ratio":35.25,"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":2276,"base":2},"right_expr":{"type":"numeric_atoms","value":3900,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1704,"base":2},"right_expr":{"type":"numeric_atoms","value":3491,"base":2}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1290,"base":2},"right_expr":{"type":"numeric_atoms","value":1801,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1015,"base":2},"right_expr":{"type":"numeric_atoms","value":2665,"base":2}}}}},"used_operators":["zVYPLywUTj","fu6greOZ01","bJkvcejdHO","SUmda5xLS4","KYD54nUTWz","B5M0gjZbta","rJVOvQCfKK","9FxExcQeMw"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2276","layer":4},{"info":"number node, value=3900","layer":4},{"info":"compute binary expreesion, left_input=2276, right_input=3900, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-348537","layer":3},{"info":"number node, value=1704","layer":4},{"info":"number node, value=3491","layer":4},{"info":"compute binary expreesion, left_input=1704, right_input=3491, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-348537, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=1290","layer":4},{"info":"number node, value=1801","layer":4},{"info":"compute binary expreesion, left_input=1290, right_input=1801, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1801","layer":3},{"info":"number node, value=1015","layer":4},{"info":"number node, value=2665","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=2665, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3332","layer":3},{"info":"compute binary expreesion, left_input=1801, right_input=-3332, 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=67, 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 = 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=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100011100100⪄≮⫘↔111100111100)≎⊠⪸(≮⫘↔11010101000⫥∨⫟≮⫘↔110110100011)⨐⩸⫘(≮⫘↔10100001010⨎≮⫘↔11100001001)↬(≮⫘↔1111110111⩷∴≮⫘↔101001101001))⊪=NaN","reverse_text":"NaN=((≮⫘↔100011100100⪄≮⫘↔111100111100)≎⊠⪸(≮⫘↔11010101000⫥∨⫟≮⫘↔110110100011)⨐⩸⫘(≮⫘↔10100001010⨎≮⫘↔11100001001)↬(≮⫘↔1111110111⩷∴≮⫘↔101001101001))⊪","cot":[{"info":"≮⫘↔100011100100⪄≮⫘↔111100111100=≮⫘↔-1010101000101111001","layer":3},{"info":"≮⫘↔11010101000⫥∨⫟≮⫘↔110110100011=NaN","layer":3},{"info":"≮⫘↔-1010101000101111001≎⊠⪸NaN=≮⫘↔1000011","layer":2},{"info":"≮⫘↔10100001010⨎≮⫘↔11100001001=≮⫘↔11100001001","layer":3},{"info":"≮⫘↔1111110111⩷∴≮⫘↔101001101001=≮⫘↔-110100000100","layer":3},{"info":"≮⫘↔11100001001↬≮⫘↔-110100000100=NaN","layer":2},{"info":"≮⫘↔1000011⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN⊪=NaN","layer":0}]}
{"id":234,"expression_no_base_symbol":"(($2490$/$2509$)⨪↰⇹($1220$+⇶⊼$1433$)⊉≛↸($1005$⩨$5374$)⨳⩥⨓(∂$2088$))↬((($6742$⪒$1478$)⋳⪒($9027$⪐))∧)","expression":"((≮⫘↔100110111010/≮⫘↔100111001101)⨪↰⇹(≮⫘↔10011000100+⇶⊼≮⫘↔10110011001)⊉≛↸(≮⫘↔1111101101⩨≮⫘↔1010011111110)⨳⩥⨓(∂≮⫘↔100000101000))↬(((≮⫘↔1101001010110⪒≮⫘↔10111000110)⋳⪒(≮⫘↔10001101000011⪐))∧)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":38,"operation_count":12,"complexity_ratio":3.1666666666666665,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2490,"base":2},"right_expr":{"type":"numeric_atoms","value":2509,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1220,"base":2},"right_expr":{"type":"numeric_atoms","value":1433,"base":2}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1005,"base":2},"right_expr":{"type":"numeric_atoms","value":5374,"base":2}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2088,"base":2}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6742,"base":2},"right_expr":{"type":"numeric_atoms","value":1478,"base":2}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":9027,"base":2}}}}},"used_operators":["B5M0gjZbta","DZ8iAZOCBD","tmPS8pqC7x","XhwjNDsVaA","TpPTUOHfaN","nCS4ZIUYfx","2DlMacCsIx","Uaa54Peajs","z63VuFQld9","12rbrZMWeM","f6k1SAg4EE","eH2TOUuTDT"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2490","layer":4},{"info":"number node, value=2509","layer":4},{"info":"compute binary expreesion, left_input=2490, right_input=2509, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1220","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=1433, 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=0, 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=0","layer":2},{"info":"number node, value=1005","layer":4},{"info":"number node, value=5374","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=5374, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-15","layer":3},{"info":"number node, value=2088","layer":4},{"info":"compute unary expreesion, input=2088, 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=-15, 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=0, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":1},{"info":"number node, value=6742","layer":4},{"info":"number node, value=1478","layer":4},{"info":"compute binary expreesion, left_input=6742, right_input=1478, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8220","layer":3},{"info":"number node, value=9027","layer":4},{"info":"compute unary expreesion, input=9027, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=18054","layer":3},{"info":"compute binary expreesion, left_input=-8220, right_input=18054, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-34781","layer":2},{"info":"compute unary expreesion, input=-34781, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, 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=0","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100110111010/≮⫘↔100111001101)⨪↰⇹(≮⫘↔10011000100+⇶⊼≮⫘↔10110011001)⊉≛↸(≮⫘↔1111101101⩨≮⫘↔1010011111110)⨳⩥⨓(∂≮⫘↔100000101000))↬(((≮⫘↔1101001010110⪒≮⫘↔10111000110)⋳⪒(≮⫘↔10001101000011⪐))∧)=≮⫘↔0","reverse_text":"≮⫘↔0=((≮⫘↔100110111010/≮⫘↔100111001101)⨪↰⇹(≮⫘↔10011000100+⇶⊼≮⫘↔10110011001)⊉≛↸(≮⫘↔1111101101⩨≮⫘↔1010011111110)⨳⩥⨓(∂≮⫘↔100000101000))↬(((≮⫘↔1101001010110⪒≮⫘↔10111000110)⋳⪒(≮⫘↔10001101000011⪐))∧)","cot":[{"info":"≮⫘↔100110111010/≮⫘↔100111001101=≮⫘↔0","layer":3},{"info":"≮⫘↔10011000100+⇶⊼≮⫘↔10110011001=NaN","layer":3},{"info":"≮⫘↔0⨪↰⇹NaN=≮⫘↔0","layer":2},{"info":"≮⫘↔1111101101⩨≮⫘↔1010011111110=≮⫘↔-1111","layer":3},{"info":"∂≮⫘↔100000101000=NaN","layer":3},{"info":"≮⫘↔-1111⨳⩥⨓NaN=NaN","layer":2},{"info":"≮⫘↔0⊉≛↸NaN=≮⫘↔0","layer":1},{"info":"≮⫘↔1101001010110⪒≮⫘↔10111000110=≮⫘↔-10000000011100","layer":3},{"info":"≮⫘↔10001101000011⪐=≮⫘↔100011010000110","layer":3},{"info":"≮⫘↔-10000000011100⋳⪒≮⫘↔100011010000110=≮⫘↔-1000011111011101","layer":2},{"info":"≮⫘↔-1000011111011101∧=≮⫘↔0","layer":1},{"info":"≮⫘↔0↬≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":235,"expression_no_base_symbol":"($6242$⨽$2733$↺$1978$+⇶⊼$9503$)∼(($3175$⇋≉)⊠≄⫣)⇷((-$1220$)⨐⩸⫘(≉$3754$)⨸⪁(↩$4821$⨓$3834$))","expression":"(≮⫘↔1100001100010⨽≮⫘↔101010101101↺≮⫘↔11110111010+⇶⊼≮⫘↔10010100011111)∼((≮⫘↔110001100111⇋≉)⊠≄⫣)⇷((-≮⫘↔10011000100)⨐⩸⫘(≉≮⫘↔111010101010)⨸⪁(↩≮⫘↔1001011010101⨓≮⫘↔111011111010))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10435,"operation_count":13,"complexity_ratio":802.6923076923077,"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":6242,"base":2},"right_expr":{"type":"numeric_atoms","value":2733,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1978,"base":2},"right_expr":{"type":"numeric_atoms","value":9503,"base":2}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3175,"base":2}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1220,"base":2}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3754,"base":2}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4821,"base":2},"right_expr":{"type":"numeric_atoms","value":3834,"base":2}}}}},"used_operators":["mp7IySMOzn","DyGG3AbaNP","7j4O788W3g","8HhzD0ZcuI","TpPTUOHfaN","DIvbN7qnHd","XIabStNQrY","g55IO6H4Gj","fu6greOZ01","t8gj7n24qd","e1ybzncUwg","jLgFTUHLKL","3ViojmjbAp"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6242","layer":4},{"info":"number node, value=2733","layer":4},{"info":"compute binary expreesion, left_input=6242, right_input=2733, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-116894577","layer":3},{"info":"number node, value=1978","layer":4},{"info":"number node, value=9503","layer":4},{"info":"compute binary expreesion, left_input=1978, right_input=9503, 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=-116894577, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"number node, value=3175","layer":4},{"info":"compute unary expreesion, input=3175, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=6252","layer":3},{"info":"compute unary expreesion, input=6252, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":1},{"info":"number node, value=1220","layer":4},{"info":"compute unary expreesion, input=1220, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1220","layer":3},{"info":"number node, value=3754","layer":4},{"info":"compute unary expreesion, input=3754, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4285","layer":3},{"info":"compute binary expreesion, left_input=-1220, right_input=4285, 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=4821","layer":4},{"info":"number node, value=3834","layer":4},{"info":"compute binary expreesion, left_input=4821, right_input=3834, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3837","layer":3},{"info":"compute unary expreesion, input=-3837, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=17968","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17968, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=20, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1100001100010⨽≮⫘↔101010101101↺≮⫘↔11110111010+⇶⊼≮⫘↔10010100011111)∼((≮⫘↔110001100111⇋≉)⊠≄⫣)⇷((-≮⫘↔10011000100)⨐⩸⫘(≉≮⫘↔111010101010)⨸⪁(↩≮⫘↔1001011010101⨓≮⫘↔111011111010))=NaN","reverse_text":"NaN=(≮⫘↔1100001100010⨽≮⫘↔101010101101↺≮⫘↔11110111010+⇶⊼≮⫘↔10010100011111)∼((≮⫘↔110001100111⇋≉)⊠≄⫣)⇷((-≮⫘↔10011000100)⨐⩸⫘(≉≮⫘↔111010101010)⨸⪁(↩≮⫘↔1001011010101⨓≮⫘↔111011111010))","cot":[{"info":"≮⫘↔1100001100010⨽≮⫘↔101010101101=≮⫘↔-110111101111010101101110001","layer":3},{"info":"≮⫘↔11110111010+⇶⊼≮⫘↔10010100011111=NaN","layer":3},{"info":"≮⫘↔-110111101111010101101110001↺NaN=NaN","layer":2},{"info":"≮⫘↔110001100111⇋≉=≮⫘↔1100001101100","layer":3},{"info":"≮⫘↔1100001101100⊠≄⫣=≮⫘↔0","layer":2},{"info":"NaN∼≮⫘↔0=≮⫘↔10100","layer":1},{"info":"-≮⫘↔10011000100=≮⫘↔-10011000100","layer":3},{"info":"≉≮⫘↔111010101010=≮⫘↔1000010111101","layer":3},{"info":"≮⫘↔-10011000100⨐⩸⫘≮⫘↔1000010111101=NaN","layer":2},{"info":"≮⫘↔1001011010101⨓≮⫘↔111011111010=≮⫘↔-111011111101","layer":3},{"info":"↩≮⫘↔-111011111101=≮⫘↔100011000110000","layer":2},{"info":"NaN⨸⪁≮⫘↔100011000110000=NaN","layer":1},{"info":"≮⫘↔10100⇷NaN=NaN","layer":0}]}
{"id":236,"expression_no_base_symbol":"($1939$/$1765$⨵⪆$2869$⪮%⊝$1633$)↬(($5693$⨁⊸⫻)≧⫂∧$3329$⊴$5186$)⩷∴(((+⊝⨔$1002$)↙($1589$⪨≂$1108$))⩷∴($1297$⨓$1929$⩷∴($4769$⨳⩥⨓$3560$)))","expression":"(≮⫘↔11110010011/≮⫘↔11011100101⨵⪆≮⫘↔101100110101⪮%⊝≮⫘↔11001100001)↬((≮⫘↔1011000111101⨁⊸⫻)≧⫂∧≮⫘↔110100000001⊴≮⫘↔1010001000010)⩷∴(((+⊝⨔≮⫘↔1111101010)↙(≮⫘↔11000110101⪨≂≮⫘↔10001010100))⩷∴(≮⫘↔10100010001⨓≮⫘↔11110001001⩷∴(≮⫘↔1001010100001⨳⩥⨓≮⫘↔110111101000)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8274,"operation_count":15,"complexity_ratio":551.6,"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":1939,"base":2},"right_expr":{"type":"numeric_atoms","value":1765,"base":2}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2869,"base":2},"right_expr":{"type":"numeric_atoms","value":1633,"base":2}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":5693,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3329,"base":2},"right_expr":{"type":"numeric_atoms","value":5186,"base":2}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1002,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1589,"base":2},"right_expr":{"type":"numeric_atoms","value":1108,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1297,"base":2},"right_expr":{"type":"numeric_atoms","value":1929,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4769,"base":2},"right_expr":{"type":"numeric_atoms","value":3560,"base":2}}}}},"used_operators":["9FxExcQeMw","B5M0gjZbta","2DQ55sFlQl","XhwjNDsVaA","IWmyXbctLI","Ph9nP6C5qx","glklzrTFfD","Nsiff2A1zJ","yyfyN0ffXY","DhbWaqg5eL","sdazOOVcIp","3ViojmjbAp","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1939","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=1939, right_input=1765, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=2869","layer":4},{"info":"number node, value=1633","layer":4},{"info":"compute binary expreesion, left_input=2869, right_input=1633, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6054","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=6054, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=5693","layer":4},{"info":"compute unary expreesion, input=5693, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5693","layer":3},{"info":"number node, value=3329","layer":4},{"info":"number node, value=5186","layer":4},{"info":"compute binary expreesion, left_input=3329, right_input=5186, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5693, 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=160, 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":"number node, value=1002","layer":4},{"info":"compute unary expreesion, input=1002, 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=1589","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=1589, right_input=1108, 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=1064","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=1064, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3192","layer":2},{"info":"number node, value=1297","layer":4},{"info":"number node, value=1929","layer":4},{"info":"compute binary expreesion, left_input=1297, right_input=1929, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1932","layer":3},{"info":"number node, value=4769","layer":4},{"info":"number node, value=3560","layer":4},{"info":"compute binary expreesion, left_input=4769, right_input=3560, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1209","layer":3},{"info":"compute binary expreesion, left_input=-1932, right_input=-1209, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1478","layer":2},{"info":"compute binary expreesion, left_input=-3192, right_input=-1478, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3460","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3460, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11110010011/≮⫘↔11011100101⨵⪆≮⫘↔101100110101⪮%⊝≮⫘↔11001100001)↬((≮⫘↔1011000111101⨁⊸⫻)≧⫂∧≮⫘↔110100000001⊴≮⫘↔1010001000010)⩷∴(((+⊝⨔≮⫘↔1111101010)↙(≮⫘↔11000110101⪨≂≮⫘↔10001010100))⩷∴(≮⫘↔10100010001⨓≮⫘↔11110001001⩷∴(≮⫘↔1001010100001⨳⩥⨓≮⫘↔110111101000)))=NaN","reverse_text":"NaN=(≮⫘↔11110010011/≮⫘↔11011100101⨵⪆≮⫘↔101100110101⪮%⊝≮⫘↔11001100001)↬((≮⫘↔1011000111101⨁⊸⫻)≧⫂∧≮⫘↔110100000001⊴≮⫘↔1010001000010)⩷∴(((+⊝⨔≮⫘↔1111101010)↙(≮⫘↔11000110101⪨≂≮⫘↔10001010100))⩷∴(≮⫘↔10100010001⨓≮⫘↔11110001001⩷∴(≮⫘↔1001010100001⨳⩥⨓≮⫘↔110111101000)))","cot":[{"info":"≮⫘↔11110010011/≮⫘↔11011100101=≮⫘↔1","layer":3},{"info":"≮⫘↔101100110101⪮%⊝≮⫘↔11001100001=≮⫘↔1011110100110","layer":3},{"info":"≮⫘↔1⨵⪆≮⫘↔1011110100110=≮⫘↔10100000","layer":2},{"info":"≮⫘↔1011000111101⨁⊸⫻=≮⫘↔1011000111101","layer":3},{"info":"≮⫘↔110100000001⊴≮⫘↔1010001000010=NaN","layer":3},{"info":"≮⫘↔1011000111101≧⫂∧NaN=NaN","layer":2},{"info":"≮⫘↔10100000↬NaN=NaN","layer":1},{"info":"+⊝⨔≮⫘↔1111101010=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔11000110101⪨≂≮⫘↔10001010100=≮⫘↔10000101000","layer":3},{"info":"≮⫘↔10111110010↙≮⫘↔10000101000=≮⫘↔-110001111000","layer":2},{"info":"≮⫘↔10100010001⨓≮⫘↔11110001001=≮⫘↔-11110001100","layer":3},{"info":"≮⫘↔1001010100001⨳⩥⨓≮⫘↔110111101000=≮⫘↔-10010111001","layer":3},{"info":"≮⫘↔-11110001100⩷∴≮⫘↔-10010111001=≮⫘↔-10111000110","layer":2},{"info":"≮⫘↔-110001111000⩷∴≮⫘↔-10111000110=≮⫘↔-110110000100","layer":1},{"info":"NaN⩷∴≮⫘↔-110110000100=NaN","layer":0}]}
{"id":237,"expression_no_base_symbol":"(((↣≠⋷$1878$)⋫)⋫)⨽(($5791$⪒$1998$)⪮%⊝($1018$⇼⇔∾$1102$)⊠≄⫣)","expression":"(((↣≠⋷≮⫘↔11101010110)⋫)⋫)⨽((≮⫘↔1011010011111⪒≮⫘↔11111001110)⪮%⊝(≮⫘↔1111111010⇼⇔∾≮⫘↔10001001110)⊠≄⫣)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":32,"operation_count":8,"complexity_ratio":4.0,"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":1878,"base":2}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5791,"base":2},"right_expr":{"type":"numeric_atoms","value":1998,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1018,"base":2},"right_expr":{"type":"numeric_atoms","value":1102,"base":2}}}}},"used_operators":["8HhzD0ZcuI","JL8yIekQnl","Asc51vEJeQ","DIvbN7qnHd","IWmyXbctLI","f6k1SAg4EE","tifHPKVTfV"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1878","layer":4},{"info":"compute unary expreesion, input=1878, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":1},{"info":"number node, value=5791","layer":4},{"info":"number node, value=1998","layer":4},{"info":"compute binary expreesion, left_input=5791, right_input=1998, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7789","layer":3},{"info":"number node, value=1018","layer":4},{"info":"number node, value=1102","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=1102, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=84","layer":3},{"info":"compute binary expreesion, left_input=-7789, right_input=84, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-15262","layer":2},{"info":"compute unary expreesion, input=-15262, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"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":0}],"base":2,"result_base":2,"text":"(((↣≠⋷≮⫘↔11101010110)⋫)⋫)⨽((≮⫘↔1011010011111⪒≮⫘↔11111001110)⪮%⊝(≮⫘↔1111111010⇼⇔∾≮⫘↔10001001110)⊠≄⫣)=NaN","reverse_text":"NaN=(((↣≠⋷≮⫘↔11101010110)⋫)⋫)⨽((≮⫘↔1011010011111⪒≮⫘↔11111001110)⪮%⊝(≮⫘↔1111111010⇼⇔∾≮⫘↔10001001110)⊠≄⫣)","cot":[{"info":"↣≠⋷≮⫘↔11101010110=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"NaN⋫=NaN","layer":1},{"info":"≮⫘↔1011010011111⪒≮⫘↔11111001110=≮⫘↔-1111001101101","layer":3},{"info":"≮⫘↔1111111010⇼⇔∾≮⫘↔10001001110=≮⫘↔1010100","layer":3},{"info":"≮⫘↔-1111001101101⪮%⊝≮⫘↔1010100=≮⫘↔-11101110011110","layer":2},{"info":"≮⫘↔-11101110011110⊠≄⫣=≮⫘↔0","layer":1},{"info":"NaN⨽≮⫘↔0=NaN","layer":0}]}
{"id":238,"expression_no_base_symbol":"($7898$↺$4558$⫸⊐$3044$↬$1628$)⪘⫢($3413$⨽$7127$)∀⇚≩(↽≂$3283$)⪒($2297$⫡⨏$1614$)↺($7632$∲⫓$2643$)⊉≛↸($1362$∲⫓$5180$)⩷∴($2766$⪠⩆⊳)","expression":"(≮⫘↔1111011011010↺≮⫘↔1000111001110⫸⊐≮⫘↔101111100100↬≮⫘↔11001011100)⪘⫢(≮⫘↔110101010101⨽≮⫘↔1101111010111)∀⇚≩(↽≂≮⫘↔110011010011)⪒(≮⫘↔100011111001⫡⨏≮⫘↔11001001110)↺(≮⫘↔1110111010000∲⫓≮⫘↔101001010011)⊉≛↸(≮⫘↔10101010010∲⫓≮⫘↔1010000111100)⩷∴(≮⫘↔101011001110⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3490,"operation_count":15,"complexity_ratio":232.66666666666666,"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":7898,"base":2},"right_expr":{"type":"numeric_atoms","value":4558,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3044,"base":2},"right_expr":{"type":"numeric_atoms","value":1628,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3413,"base":2},"right_expr":{"type":"numeric_atoms","value":7127,"base":2}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3283,"base":2}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2297,"base":2},"right_expr":{"type":"numeric_atoms","value":1614,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":7632,"base":2},"right_expr":{"type":"numeric_atoms","value":2643,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1362,"base":2},"right_expr":{"type":"numeric_atoms","value":5180,"base":2}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2766,"base":2}}}}},"used_operators":["f6k1SAg4EE","oacrs7FA3X","mqXw5SEYmG","7j4O788W3g","B5M0gjZbta","LRNGc0VcxI","8HhzD0ZcuI","u6S6b8DprG","DZ8iAZOCBD","QMFrweE19q","i8ToyICDmI","9FxExcQeMw","JLbD19bQDL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","X99M06cbEe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7898","layer":4},{"info":"number node, value=4558","layer":4},{"info":"compute binary expreesion, left_input=7898, right_input=4558, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4558","layer":3},{"info":"number node, value=3044","layer":4},{"info":"number node, value=1628","layer":4},{"info":"compute binary expreesion, left_input=3044, right_input=1628, 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=4558, 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=3413","layer":4},{"info":"number node, value=7127","layer":4},{"info":"compute binary expreesion, left_input=3413, right_input=7127, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-34965774","layer":3},{"info":"number node, value=3283","layer":4},{"info":"compute unary expreesion, input=3283, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-6566","layer":3},{"info":"compute binary expreesion, left_input=-34965774, right_input=-6566, 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 = 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=2297","layer":4},{"info":"number node, value=1614","layer":4},{"info":"compute binary expreesion, left_input=2297, right_input=1614, 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=15496","layer":3},{"info":"number node, value=7632","layer":4},{"info":"number node, value=2643","layer":4},{"info":"compute binary expreesion, left_input=7632, right_input=2643, 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=15496, 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":"number node, value=1362","layer":4},{"info":"number node, value=5180","layer":4},{"info":"compute binary expreesion, left_input=1362, right_input=5180, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2766","layer":4},{"info":"compute unary expreesion, input=2766, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-32","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-32, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1111011011010↺≮⫘↔1000111001110⫸⊐≮⫘↔101111100100↬≮⫘↔11001011100)⪘⫢(≮⫘↔110101010101⨽≮⫘↔1101111010111)∀⇚≩(↽≂≮⫘↔110011010011)⪒(≮⫘↔100011111001⫡⨏≮⫘↔11001001110)↺(≮⫘↔1110111010000∲⫓≮⫘↔101001010011)⊉≛↸(≮⫘↔10101010010∲⫓≮⫘↔1010000111100)⩷∴(≮⫘↔101011001110⪠⩆⊳)=NaN","reverse_text":"NaN=(≮⫘↔1111011011010↺≮⫘↔1000111001110⫸⊐≮⫘↔101111100100↬≮⫘↔11001011100)⪘⫢(≮⫘↔110101010101⨽≮⫘↔1101111010111)∀⇚≩(↽≂≮⫘↔110011010011)⪒(≮⫘↔100011111001⫡⨏≮⫘↔11001001110)↺(≮⫘↔1110111010000∲⫓≮⫘↔101001010011)⊉≛↸(≮⫘↔10101010010∲⫓≮⫘↔1010000111100)⩷∴(≮⫘↔101011001110⪠⩆⊳)","cot":[{"info":"≮⫘↔1111011011010↺≮⫘↔1000111001110=≮⫘↔1000111001110","layer":3},{"info":"≮⫘↔101111100100↬≮⫘↔11001011100=NaN","layer":3},{"info":"≮⫘↔1000111001110⫸⊐NaN=NaN","layer":2},{"info":"≮⫘↔110101010101⨽≮⫘↔1101111010111=≮⫘↔-10000101011000100100001110","layer":3},{"info":"↽≂≮⫘↔110011010011=≮⫘↔-1100110100110","layer":3},{"info":"≮⫘↔-10000101011000100100001110∀⇚≩≮⫘↔-1100110100110=NaN","layer":2},{"info":"NaN⪘⫢NaN=NaN","layer":1},{"info":"≮⫘↔100011111001⫡⨏≮⫘↔11001001110=≮⫘↔11110010001000","layer":3},{"info":"≮⫘↔1110111010000∲⫓≮⫘↔101001010011=≮⫘↔0","layer":3},{"info":"≮⫘↔11110010001000↺≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔10101010010∲⫓≮⫘↔1010000111100=≮⫘↔0","layer":3},{"info":"≮⫘↔101011001110⪠⩆⊳=≮⫘↔0","layer":3},{"info":"≮⫘↔0⩷∴≮⫘↔0=≮⫘↔-100000","layer":2},{"info":"≮⫘↔0⊉≛↸≮⫘↔-100000=≮⫘↔0","layer":1},{"info":"NaN⪒≮⫘↔0=NaN","layer":0}]}
{"id":239,"expression_no_base_symbol":"((↽≂$3063$)-($3157$⫡⨏$6388$))⪛(+⊝⨔($2007$∀⇚≩$1156$))⫩⊇","expression":"((↽≂≮⫘↔101111110111)-(≮⫘↔110001010101⫡⨏≮⫘↔1100011110100))⪛(+⊝⨔(≮⫘↔11111010111∀⇚≩≮⫘↔10010000100))⫩⊇","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":14108,"operation_count":7,"complexity_ratio":2015.4285714285713,"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":3063,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3157,"base":2},"right_expr":{"type":"numeric_atoms","value":6388,"base":2}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2007,"base":2},"right_expr":{"type":"numeric_atoms","value":1156,"base":2}}}}},"used_operators":["BjRHVeLaeN","uFcxV4UQCh","rysDP5nf3Z","u6S6b8DprG","QMFrweE19q","DhbWaqg5eL","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","X99M06cbEe"],"result":"≮⫘↔-1111111000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3063","layer":4},{"info":"compute unary expreesion, input=3063, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-6126","layer":3},{"info":"number node, value=3157","layer":4},{"info":"number node, value=6388","layer":4},{"info":"compute binary expreesion, left_input=3157, right_input=6388, 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=29344","layer":3},{"info":"compute binary expreesion, left_input=-6126, right_input=29344, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-35470","layer":2},{"info":"number node, value=2007","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=2007, right_input=1156, 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 = 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=-35470, right_input=1522, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1058","layer":1},{"info":"compute unary expreesion, input=1058, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1016","layer":0}],"base":2,"result_base":2,"text":"((↽≂≮⫘↔101111110111)-(≮⫘↔110001010101⫡⨏≮⫘↔1100011110100))⪛(+⊝⨔(≮⫘↔11111010111∀⇚≩≮⫘↔10010000100))⫩⊇=≮⫘↔-1111111000","reverse_text":"≮⫘↔-1111111000=((↽≂≮⫘↔101111110111)-(≮⫘↔110001010101⫡⨏≮⫘↔1100011110100))⪛(+⊝⨔(≮⫘↔11111010111∀⇚≩≮⫘↔10010000100))⫩⊇","cot":[{"info":"↽≂≮⫘↔101111110111=≮⫘↔-1011111101110","layer":3},{"info":"≮⫘↔110001010101⫡⨏≮⫘↔1100011110100=≮⫘↔111001010100000","layer":3},{"info":"≮⫘↔-1011111101110-≮⫘↔111001010100000=≮⫘↔-1000101010001110","layer":2},{"info":"≮⫘↔11111010111∀⇚≩≮⫘↔10010000100=NaN","layer":3},{"info":"+⊝⨔NaN=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔-1000101010001110⪛≮⫘↔10111110010=≮⫘↔10000100010","layer":1},{"info":"≮⫘↔10000100010⫩⊇=≮⫘↔-1111111000","layer":0}]}
{"id":240,"expression_no_base_symbol":"($2221$⊉≛↸$1303$%(↽≂$1566$)/(∥⊫$5727$)⪛($7139$⨵⪆$1281$))*(($3368$⨵⪆$1531$)⨸⪁$4444$↙$1845$)⩚⊴⇥($4118$↙$5932$⪄($6381$∲⫓$1274$))","expression":"(≮⫘↔100010101101⊉≛↸≮⫘↔10100010111%(↽≂≮⫘↔11000011110)/(∥⊫≮⫘↔1011001011111)⪛(≮⫘↔1101111100011⨵⪆≮⫘↔10100000001))*((≮⫘↔110100101000⨵⪆≮⫘↔10111111011)⨸⪁≮⫘↔1000101011100↙≮⫘↔11100110101)⩚⊴⇥(≮⫘↔1000000010110↙≮⫘↔1011100101100⪄(≮⫘↔1100011101101∲⫓≮⫘↔10011111010))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8045,"operation_count":15,"complexity_ratio":536.3333333333334,"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":2221,"base":2},"right_expr":{"type":"numeric_atoms","value":1303,"base":2}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1566,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5727,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":7139,"base":2},"right_expr":{"type":"numeric_atoms","value":1281,"base":2}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3368,"base":2},"right_expr":{"type":"numeric_atoms","value":1531,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4444,"base":2},"right_expr":{"type":"numeric_atoms","value":1845,"base":2}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4118,"base":2},"right_expr":{"type":"numeric_atoms","value":5932,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6381,"base":2},"right_expr":{"type":"numeric_atoms","value":1274,"base":2}}}}},"used_operators":["9HNa5Wba9A","XhwjNDsVaA","k8jYdgA6NY","DZ8iAZOCBD","u6S6b8DprG","uFcxV4UQCh","P8v4zCKN1o","2DQ55sFlQl","NTOWxs364D","g55IO6H4Gj","yyfyN0ffXY","SUmda5xLS4","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-1010110000011000010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2221","layer":4},{"info":"number node, value=1303","layer":4},{"info":"compute binary expreesion, left_input=2221, right_input=1303, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4442","layer":3},{"info":"number node, value=1566","layer":4},{"info":"compute unary expreesion, input=1566, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3132","layer":3},{"info":"compute binary expreesion, left_input=4442, right_input=-3132, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-1822","layer":2},{"info":"number node, value=5727","layer":4},{"info":"compute unary expreesion, input=5727, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6595","layer":3},{"info":"number node, value=7139","layer":4},{"info":"number node, value=1281","layer":4},{"info":"compute binary expreesion, left_input=7139, right_input=1281, 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=6595, right_input=160, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=35","layer":2},{"info":"compute binary expreesion, left_input=-1822, right_input=35, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-53","layer":1},{"info":"number node, value=3368","layer":4},{"info":"number node, value=1531","layer":4},{"info":"compute binary expreesion, left_input=3368, right_input=1531, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4444","layer":4},{"info":"number node, value=1845","layer":4},{"info":"compute binary expreesion, left_input=4444, right_input=1845, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5535","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-5535, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-10750","layer":2},{"info":"number node, value=4118","layer":4},{"info":"number node, value=5932","layer":4},{"info":"compute binary expreesion, left_input=4118, right_input=5932, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-17796","layer":3},{"info":"number node, value=6381","layer":4},{"info":"number node, value=1274","layer":4},{"info":"compute binary expreesion, left_input=6381, right_input=1274, 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=-17796, right_input=0, 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=-10750, right_input=3979, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=6650","layer":1},{"info":"compute binary expreesion, left_input=-53, right_input=6650, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-352450","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100010101101⊉≛↸≮⫘↔10100010111%(↽≂≮⫘↔11000011110)/(∥⊫≮⫘↔1011001011111)⪛(≮⫘↔1101111100011⨵⪆≮⫘↔10100000001))*((≮⫘↔110100101000⨵⪆≮⫘↔10111111011)⨸⪁≮⫘↔1000101011100↙≮⫘↔11100110101)⩚⊴⇥(≮⫘↔1000000010110↙≮⫘↔1011100101100⪄(≮⫘↔1100011101101∲⫓≮⫘↔10011111010))=≮⫘↔-1010110000011000010","reverse_text":"≮⫘↔-1010110000011000010=(≮⫘↔100010101101⊉≛↸≮⫘↔10100010111%(↽≂≮⫘↔11000011110)/(∥⊫≮⫘↔1011001011111)⪛(≮⫘↔1101111100011⨵⪆≮⫘↔10100000001))*((≮⫘↔110100101000⨵⪆≮⫘↔10111111011)⨸⪁≮⫘↔1000101011100↙≮⫘↔11100110101)⩚⊴⇥(≮⫘↔1000000010110↙≮⫘↔1011100101100⪄(≮⫘↔1100011101101∲⫓≮⫘↔10011111010))","cot":[{"info":"≮⫘↔100010101101⊉≛↸≮⫘↔10100010111=≮⫘↔1000101011010","layer":3},{"info":"↽≂≮⫘↔11000011110=≮⫘↔-110000111100","layer":3},{"info":"≮⫘↔1000101011010%≮⫘↔-110000111100=≮⫘↔-11100011110","layer":2},{"info":"∥⊫≮⫘↔1011001011111=≮⫘↔1100111000011","layer":3},{"info":"≮⫘↔1101111100011⨵⪆≮⫘↔10100000001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1100111000011⪛≮⫘↔10100000=≮⫘↔100011","layer":2},{"info":"≮⫘↔-11100011110/≮⫘↔100011=≮⫘↔-110101","layer":1},{"info":"≮⫘↔110100101000⨵⪆≮⫘↔10111111011=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1000101011100↙≮⫘↔11100110101=≮⫘↔-1010110011111","layer":3},{"info":"≮⫘↔10100000⨸⪁≮⫘↔-1010110011111=≮⫘↔-10100111111110","layer":2},{"info":"≮⫘↔1000000010110↙≮⫘↔1011100101100=≮⫘↔-100010110000100","layer":3},{"info":"≮⫘↔1100011101101∲⫓≮⫘↔10011111010=≮⫘↔0","layer":3},{"info":"≮⫘↔-100010110000100⪄≮⫘↔0=≮⫘↔111110001011","layer":2},{"info":"≮⫘↔-10100111111110⩚⊴⇥≮⫘↔111110001011=≮⫘↔1100111111010","layer":1},{"info":"≮⫘↔-110101*≮⫘↔1100111111010=≮⫘↔-1010110000011000010","layer":0}]}
{"id":241,"expression_no_base_symbol":"(≦∁$3795$)⪘⫢($1342$⩨$1050$)⨐⩸⫘(≤/$3032$)⨐⩸⫘($2080$*$1644$)⊭↱((-$1311$)⨳⩥⨓(⨑⩽⪐$7808$))⨪↰⇹(($2901$⩨$3154$)⨐⩸⫘($4974$↙$1719$))","expression":"(≦∁≮⫘↔111011010011)⪘⫢(≮⫘↔10100111110⩨≮⫘↔10000011010)⨐⩸⫘(≤/≮⫘↔101111011000)⨐⩸⫘(≮⫘↔100000100000*≮⫘↔11001101100)⊭↱((-≮⫘↔10100011111)⨳⩥⨓(⨑⩽⪐≮⫘↔1111010000000))⨪↰⇹((≮⫘↔101101010101⩨≮⫘↔110001010010)⨐⩸⫘(≮⫘↔1001101101110↙≮⫘↔11010110111))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9626,"operation_count":15,"complexity_ratio":641.7333333333333,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3795,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1342,"base":2},"right_expr":{"type":"numeric_atoms","value":1050,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3032,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2080,"base":2},"right_expr":{"type":"numeric_atoms","value":1644,"base":2}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1311,"base":2}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":7808,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2901,"base":2},"right_expr":{"type":"numeric_atoms","value":3154,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4974,"base":2},"right_expr":{"type":"numeric_atoms","value":1719,"base":2}}}}},"used_operators":["COABgblf1C","fu6greOZ01","oacrs7FA3X","9ICcGScMcE","2DlMacCsIx","eLAdDNolq6","9HNa5Wba9A","tmPS8pqC7x","nCS4ZIUYfx","t8gj7n24qd","AF7qkfDlqP","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3795","layer":4},{"info":"compute unary expreesion, input=3795, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3795","layer":3},{"info":"number node, value=1342","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=1050, 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=3795, right_input=0, 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":"number node, value=3032","layer":4},{"info":"compute unary expreesion, input=3032, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2548","layer":3},{"info":"number node, value=2080","layer":4},{"info":"number node, value=1644","layer":4},{"info":"compute binary expreesion, left_input=2080, right_input=1644, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3419520","layer":3},{"info":"compute binary expreesion, left_input=-2548, right_input=3419520, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1311","layer":4},{"info":"compute unary expreesion, input=1311, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1311","layer":3},{"info":"number node, value=7808","layer":4},{"info":"compute unary expreesion, input=7808, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-7535","layer":3},{"info":"compute binary expreesion, left_input=-1311, right_input=-7535, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-6224","layer":2},{"info":"number node, value=2901","layer":4},{"info":"number node, value=3154","layer":4},{"info":"compute binary expreesion, left_input=2901, right_input=3154, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=4974","layer":4},{"info":"number node, value=1719","layer":4},{"info":"compute binary expreesion, left_input=4974, right_input=1719, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5157","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-5157, 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=-6224, 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=-6224","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6224, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≦∁≮⫘↔111011010011)⪘⫢(≮⫘↔10100111110⩨≮⫘↔10000011010)⨐⩸⫘(≤/≮⫘↔101111011000)⨐⩸⫘(≮⫘↔100000100000*≮⫘↔11001101100)⊭↱((-≮⫘↔10100011111)⨳⩥⨓(⨑⩽⪐≮⫘↔1111010000000))⨪↰⇹((≮⫘↔101101010101⩨≮⫘↔110001010010)⨐⩸⫘(≮⫘↔1001101101110↙≮⫘↔11010110111))=NaN","reverse_text":"NaN=(≦∁≮⫘↔111011010011)⪘⫢(≮⫘↔10100111110⩨≮⫘↔10000011010)⨐⩸⫘(≤/≮⫘↔101111011000)⨐⩸⫘(≮⫘↔100000100000*≮⫘↔11001101100)⊭↱((-≮⫘↔10100011111)⨳⩥⨓(⨑⩽⪐≮⫘↔1111010000000))⨪↰⇹((≮⫘↔101101010101⩨≮⫘↔110001010010)⨐⩸⫘(≮⫘↔1001101101110↙≮⫘↔11010110111))","cot":[{"info":"≦∁≮⫘↔111011010011=≮⫘↔111011010011","layer":3},{"info":"≮⫘↔10100111110⩨≮⫘↔10000011010=≮⫘↔0","layer":3},{"info":"≮⫘↔111011010011⪘⫢≮⫘↔0=≮⫘↔0","layer":2},{"info":"≤/≮⫘↔101111011000=≮⫘↔-100111110100","layer":3},{"info":"≮⫘↔100000100000*≮⫘↔11001101100=≮⫘↔1101000010110110000000","layer":3},{"info":"≮⫘↔-100111110100⨐⩸⫘≮⫘↔1101000010110110000000=NaN","layer":2},{"info":"≮⫘↔0⨐⩸⫘NaN=NaN","layer":1},{"info":"-≮⫘↔10100011111=≮⫘↔-10100011111","layer":3},{"info":"⨑⩽⪐≮⫘↔1111010000000=≮⫘↔-1110101101111","layer":3},{"info":"≮⫘↔-10100011111⨳⩥⨓≮⫘↔-1110101101111=≮⫘↔-1100001010000","layer":2},{"info":"≮⫘↔101101010101⩨≮⫘↔110001010010=≮⫘↔-11","layer":3},{"info":"≮⫘↔1001101101110↙≮⫘↔11010110111=≮⫘↔-1010000100101","layer":3},{"info":"≮⫘↔-11⨐⩸⫘≮⫘↔-1010000100101=NaN","layer":2},{"info":"≮⫘↔-1100001010000⨪↰⇹NaN=≮⫘↔-1100001010000","layer":1},{"info":"NaN⊭↱≮⫘↔-1100001010000=NaN","layer":0}]}
{"id":242,"expression_no_base_symbol":"(($3282$⩤)⨸⪁$1700$↙$2428$⫡⨏(⨑⩽⪐($1283$↺$2053$)))↙(⇁⨣⪵($1410$⪨≂$3552$))⪛((≤/$3902$)⫸⊐(⨈⫕$8679$))","expression":"((≮⫘↔110011010010⩤)⨸⪁≮⫘↔11010100100↙≮⫘↔100101111100⫡⨏(⨑⩽⪐(≮⫘↔10100000011↺≮⫘↔100000000101)))↙(⇁⨣⪵(≮⫘↔10110000010⪨≂≮⫘↔110111100000))⪛((≤/≮⫘↔111100111110)⫸⊐(⨈⫕≮⫘↔10000111100111))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2850,"operation_count":13,"complexity_ratio":219.23076923076923,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3282,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1700,"base":2},"right_expr":{"type":"numeric_atoms","value":2428,"base":2}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1283,"base":2},"right_expr":{"type":"numeric_atoms","value":2053,"base":2}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1410,"base":2},"right_expr":{"type":"numeric_atoms","value":3552,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3902,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":8679,"base":2}}}}},"used_operators":["yyfyN0ffXY","QMFrweE19q","g55IO6H4Gj","Z2TMIBDE3Q","AF7qkfDlqP","7j4O788W3g","uFcxV4UQCh","inkyxCbjAn","sdazOOVcIp","mqXw5SEYmG","eLAdDNolq6","megm06wKyl"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"≮⫘↔-11010011110010101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3282","layer":4},{"info":"compute unary expreesion, input=3282, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3282","layer":3},{"info":"number node, value=1700","layer":4},{"info":"number node, value=2428","layer":4},{"info":"compute binary expreesion, left_input=1700, right_input=2428, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7284","layer":3},{"info":"compute binary expreesion, left_input=-3282, right_input=-7284, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-21132","layer":2},{"info":"number node, value=1283","layer":4},{"info":"number node, value=2053","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=2053, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2053","layer":3},{"info":"compute unary expreesion, input=2053, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1780","layer":2},{"info":"compute binary expreesion, left_input=-21132, right_input=-1780, 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=-108437","layer":1},{"info":"number node, value=1410","layer":4},{"info":"number node, value=3552","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=3552, 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=-4182","layer":3},{"info":"compute unary expreesion, input=-4182, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=3902","layer":4},{"info":"compute unary expreesion, input=3902, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3418","layer":3},{"info":"number node, value=8679","layer":4},{"info":"compute unary expreesion, input=8679, 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=-3418, right_input=-21, 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=nan, right_input=968, 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=-108437, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-108437","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110011010010⩤)⨸⪁≮⫘↔11010100100↙≮⫘↔100101111100⫡⨏(⨑⩽⪐(≮⫘↔10100000011↺≮⫘↔100000000101)))↙(⇁⨣⪵(≮⫘↔10110000010⪨≂≮⫘↔110111100000))⪛((≤/≮⫘↔111100111110)⫸⊐(⨈⫕≮⫘↔10000111100111))=≮⫘↔-11010011110010101","reverse_text":"≮⫘↔-11010011110010101=((≮⫘↔110011010010⩤)⨸⪁≮⫘↔11010100100↙≮⫘↔100101111100⫡⨏(⨑⩽⪐(≮⫘↔10100000011↺≮⫘↔100000000101)))↙(⇁⨣⪵(≮⫘↔10110000010⪨≂≮⫘↔110111100000))⪛((≤/≮⫘↔111100111110)⫸⊐(⨈⫕≮⫘↔10000111100111))","cot":[{"info":"≮⫘↔110011010010⩤=≮⫘↔-110011010010","layer":3},{"info":"≮⫘↔11010100100↙≮⫘↔100101111100=≮⫘↔-1110001110100","layer":3},{"info":"≮⫘↔-110011010010⨸⪁≮⫘↔-1110001110100=≮⫘↔-101001010001100","layer":2},{"info":"≮⫘↔10100000011↺≮⫘↔100000000101=≮⫘↔100000000101","layer":3},{"info":"⨑⩽⪐≮⫘↔100000000101=≮⫘↔-11011110100","layer":2},{"info":"≮⫘↔-101001010001100⫡⨏≮⫘↔-11011110100=≮⫘↔-11010011110010101","layer":1},{"info":"≮⫘↔10110000010⪨≂≮⫘↔110111100000=≮⫘↔-1000001010110","layer":3},{"info":"⇁⨣⪵≮⫘↔-1000001010110=NaN","layer":2},{"info":"≤/≮⫘↔111100111110=≮⫘↔-110101011010","layer":3},{"info":"⨈⫕≮⫘↔10000111100111=≮⫘↔-10101","layer":3},{"info":"≮⫘↔-110101011010⫸⊐≮⫘↔-10101=≮⫘↔1111001000","layer":2},{"info":"NaN⪛≮⫘↔1111001000=NaN","layer":1},{"info":"≮⫘↔-11010011110010101↙NaN=≮⫘↔-11010011110010101","layer":0}]}
{"id":243,"expression_no_base_symbol":"⨞⊢($4559$↺$2649$)⇷(↯⪼$4939$)⫥∨⫟(⊙↵-$1710$)⨪↰⇹$1426$∼$2084$","expression":"⨞⊢(≮⫘↔1000111001111↺≮⫘↔101001011001)⇷(↯⪼≮⫘↔1001101001011)⫥∨⫟(⊙↵-≮⫘↔11010101110)⨪↰⇹≮⫘↔10110010010∼≮⫘↔100000100100","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":39067,"operation_count":8,"complexity_ratio":4883.375,"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":4559,"base":2},"right_expr":{"type":"numeric_atoms","value":2649,"base":2}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4939,"base":2}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1710,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1426,"base":2},"right_expr":{"type":"numeric_atoms","value":2084,"base":2}}}}},"used_operators":["xUOZtlo3hN","KYD54nUTWz","mp7IySMOzn","7j4O788W3g","8jW3W4yZS5","tmPS8pqC7x","oWn0xqSxBt","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rJVOvQCfKK","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=4559","layer":4},{"info":"number node, value=2649","layer":4},{"info":"compute binary expreesion, left_input=4559, right_input=2649, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2649","layer":3},{"info":"number node, value=4939","layer":4},{"info":"compute unary expreesion, input=4939, 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=2649, right_input=-21, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-42","layer":2},{"info":"number node, value=1710","layer":4},{"info":"compute unary expreesion, input=1710, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1426","layer":4},{"info":"number node, value=2084","layer":4},{"info":"compute binary expreesion, left_input=1426, right_input=2084, 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=-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":2},{"info":"compute binary expreesion, left_input=-42, right_input=1, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":2,"result_base":2,"text":"⨞⊢(≮⫘↔1000111001111↺≮⫘↔101001011001)⇷(↯⪼≮⫘↔1001101001011)⫥∨⫟(⊙↵-≮⫘↔11010101110)⨪↰⇹≮⫘↔10110010010∼≮⫘↔100000100100=NaN","reverse_text":"NaN=⨞⊢(≮⫘↔1000111001111↺≮⫘↔101001011001)⇷(↯⪼≮⫘↔1001101001011)⫥∨⫟(⊙↵-≮⫘↔11010101110)⨪↰⇹≮⫘↔10110010010∼≮⫘↔100000100100","cot":[{"info":"≮⫘↔1000111001111↺≮⫘↔101001011001=≮⫘↔101001011001","layer":3},{"info":"↯⪼≮⫘↔1001101001011=≮⫘↔-10101","layer":3},{"info":"≮⫘↔101001011001⇷≮⫘↔-10101=≮⫘↔-101010","layer":2},{"info":"⊙↵-≮⫘↔11010101110=≮⫘↔-1","layer":3},{"info":"≮⫘↔10110010010∼≮⫘↔100000100100=NaN","layer":3},{"info":"≮⫘↔-1⨪↰⇹NaN=≮⫘↔1","layer":2},{"info":"≮⫘↔-101010⫥∨⫟≮⫘↔1=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":244,"expression_no_base_symbol":"(($6181$⋥≓≎$5445$)⊦⊿)↬(($3812$↙$1827$)≎⊠⪸$7941$⇷$1124$)+⇶⊼(($4185$⋫)∼($1657$⫸⊐$4693$)↙(($1265$/$1739$)⨳⩥⨓$4509$⫥∨⫟$1160$))","expression":"((≮⫘↔1100000100101⋥≓≎≮⫘↔1010101000101)⊦⊿)↬((≮⫘↔111011100100↙≮⫘↔11100100011)≎⊠⪸≮⫘↔1111100000101⇷≮⫘↔10001100100)+⇶⊼((≮⫘↔1000001011001⋫)∼(≮⫘↔11001111001⫸⊐≮⫘↔1001001010101)↙((≮⫘↔10011110001/≮⫘↔11011001011)⨳⩥⨓≮⫘↔1000110011101⫥∨⫟≮⫘↔10010001000))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":117745,"operation_count":14,"complexity_ratio":8410.357142857143,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6181,"base":2},"right_expr":{"type":"numeric_atoms","value":5445,"base":2}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3812,"base":2},"right_expr":{"type":"numeric_atoms","value":1827,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":7941,"base":2},"right_expr":{"type":"numeric_atoms","value":1124,"base":2}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":4185,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1657,"base":2},"right_expr":{"type":"numeric_atoms","value":4693,"base":2}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1265,"base":2},"right_expr":{"type":"numeric_atoms","value":1739,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4509,"base":2},"right_expr":{"type":"numeric_atoms","value":1160,"base":2}}}}},"used_operators":["TpPTUOHfaN","B5M0gjZbta","14qkJME0vr","Qy55tPpLXF","bJkvcejdHO","yyfyN0ffXY","mp7IySMOzn","DyGG3AbaNP","JL8yIekQnl","mqXw5SEYmG","nCS4ZIUYfx","XhwjNDsVaA","KYD54nUTWz"],"dependent_operators":["AHs5Up7iyr","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6181","layer":4},{"info":"number node, value=5445","layer":4},{"info":"compute binary expreesion, left_input=6181, right_input=5445, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4742","layer":3},{"info":"compute unary expreesion, input=4742, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-14305","layer":2},{"info":"number node, value=3812","layer":4},{"info":"number node, value=1827","layer":4},{"info":"compute binary expreesion, left_input=3812, right_input=1827, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5481","layer":3},{"info":"number node, value=7941","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=7941, right_input=1124, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2248","layer":3},{"info":"compute binary expreesion, left_input=-5481, right_input=2248, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1419579","layer":2},{"info":"compute binary expreesion, left_input=-14305, right_input=1419579, 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=4185","layer":4},{"info":"compute unary expreesion, input=4185, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4185","layer":3},{"info":"number node, value=1657","layer":4},{"info":"number node, value=4693","layer":4},{"info":"compute binary expreesion, left_input=1657, right_input=4693, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=18647","layer":3},{"info":"compute binary expreesion, left_input=4185, right_input=18647, 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=1265","layer":4},{"info":"number node, value=1739","layer":4},{"info":"compute binary expreesion, left_input=1265, right_input=1739, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=4509","layer":4},{"info":"number node, value=1160","layer":4},{"info":"compute binary expreesion, left_input=4509, right_input=1160, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"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":2},{"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":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":2,"result_base":2,"text":"((≮⫘↔1100000100101⋥≓≎≮⫘↔1010101000101)⊦⊿)↬((≮⫘↔111011100100↙≮⫘↔11100100011)≎⊠⪸≮⫘↔1111100000101⇷≮⫘↔10001100100)+⇶⊼((≮⫘↔1000001011001⋫)∼(≮⫘↔11001111001⫸⊐≮⫘↔1001001010101)↙((≮⫘↔10011110001/≮⫘↔11011001011)⨳⩥⨓≮⫘↔1000110011101⫥∨⫟≮⫘↔10010001000))=NaN","reverse_text":"NaN=((≮⫘↔1100000100101⋥≓≎≮⫘↔1010101000101)⊦⊿)↬((≮⫘↔111011100100↙≮⫘↔11100100011)≎⊠⪸≮⫘↔1111100000101⇷≮⫘↔10001100100)+⇶⊼((≮⫘↔1000001011001⋫)∼(≮⫘↔11001111001⫸⊐≮⫘↔1001001010101)↙((≮⫘↔10011110001/≮⫘↔11011001011)⨳⩥⨓≮⫘↔1000110011101⫥∨⫟≮⫘↔10010001000))","cot":[{"info":"≮⫘↔1100000100101⋥≓≎≮⫘↔1010101000101=≮⫘↔1001010000110","layer":3},{"info":"≮⫘↔1001010000110⊦⊿=≮⫘↔-11011111100001","layer":2},{"info":"≮⫘↔111011100100↙≮⫘↔11100100011=≮⫘↔-1010101101001","layer":3},{"info":"≮⫘↔1111100000101⇷≮⫘↔10001100100=≮⫘↔100011001000","layer":3},{"info":"≮⫘↔-1010101101001≎⊠⪸≮⫘↔100011001000=≮⫘↔101011010100100111011","layer":2},{"info":"≮⫘↔-11011111100001↬≮⫘↔101011010100100111011=NaN","layer":1},{"info":"≮⫘↔1000001011001⋫=≮⫘↔1000001011001","layer":3},{"info":"≮⫘↔11001111001⫸⊐≮⫘↔1001001010101=≮⫘↔100100011010111","layer":3},{"info":"≮⫘↔1000001011001∼≮⫘↔100100011010111=NaN","layer":2},{"info":"≮⫘↔10011110001/≮⫘↔11011001011=≮⫘↔0","layer":3},{"info":"≮⫘↔1000110011101⫥∨⫟≮⫘↔10010001000=NaN","layer":3},{"info":"≮⫘↔0⨳⩥⨓NaN=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":245,"expression_no_base_symbol":"(($5176$⨰$2347$%$7344$≎⊠⪸$4469$)⩤)⨐⩸⫘((($6418$≣⋋)↛⩡⫤)⨵⪆(⪝⪂⫅$1611$⪛$3325$))","expression":"((≮⫘↔1010000111000⨰≮⫘↔100100101011%≮⫘↔1110010110000≎⊠⪸≮⫘↔1000101110101)⩤)⨐⩸⫘(((≮⫘↔1100100010010≣⋋)↛⩡⫤)⨵⪆(⪝⪂⫅≮⫘↔11001001011⪛≮⫘↔110011111101))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":27573,"operation_count":10,"complexity_ratio":2757.3,"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":5176,"base":2},"right_expr":{"type":"numeric_atoms","value":2347,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":7344,"base":2},"right_expr":{"type":"numeric_atoms","value":4469,"base":2}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":6418,"base":2}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1611,"base":2},"right_expr":{"type":"numeric_atoms","value":3325,"base":2}}}}},"used_operators":["fu6greOZ01","Z2TMIBDE3Q","k8jYdgA6NY","eewbuw0ToL","bJkvcejdHO","2DQ55sFlQl","FU0Cs4j7VP","Tcnh7f0tEr","XTarYq4gQB","uFcxV4UQCh"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","9HNa5Wba9A","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"≮⫘↔-10100011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5176","layer":4},{"info":"number node, value=2347","layer":4},{"info":"compute binary expreesion, left_input=5176, right_input=2347, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2839","layer":3},{"info":"number node, value=7344","layer":4},{"info":"number node, value=4469","layer":4},{"info":"compute binary expreesion, left_input=7344, right_input=4469, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1901623","layer":3},{"info":"compute binary expreesion, left_input=2839, right_input=1901623, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2839","layer":2},{"info":"compute unary expreesion, input=2839, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2839","layer":1},{"info":"number node, value=6418","layer":4},{"info":"compute unary expreesion, input=6418, 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 = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=0","layer":2},{"info":"number node, value=1611","layer":4},{"info":"number node, value=3325","layer":4},{"info":"compute binary expreesion, left_input=1611, right_input=3325, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1611","layer":3},{"info":"compute unary expreesion, input=1611, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-236817","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-236817, 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=-2839, right_input=160, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-163","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010000111000⨰≮⫘↔100100101011%≮⫘↔1110010110000≎⊠⪸≮⫘↔1000101110101)⩤)⨐⩸⫘(((≮⫘↔1100100010010≣⋋)↛⩡⫤)⨵⪆(⪝⪂⫅≮⫘↔11001001011⪛≮⫘↔110011111101))=≮⫘↔-10100011","reverse_text":"≮⫘↔-10100011=((≮⫘↔1010000111000⨰≮⫘↔100100101011%≮⫘↔1110010110000≎⊠⪸≮⫘↔1000101110101)⩤)⨐⩸⫘(((≮⫘↔1100100010010≣⋋)↛⩡⫤)⨵⪆(⪝⪂⫅≮⫘↔11001001011⪛≮⫘↔110011111101))","cot":[{"info":"≮⫘↔1010000111000⨰≮⫘↔100100101011=≮⫘↔101100010111","layer":3},{"info":"≮⫘↔1110010110000≎⊠⪸≮⫘↔1000101110101=≮⫘↔111010000010000110111","layer":3},{"info":"≮⫘↔101100010111%≮⫘↔111010000010000110111=≮⫘↔101100010111","layer":2},{"info":"≮⫘↔101100010111⩤=≮⫘↔-101100010111","layer":1},{"info":"≮⫘↔1100100010010≣⋋=≮⫘↔0","layer":3},{"info":"≮⫘↔0↛⩡⫤=≮⫘↔0","layer":2},{"info":"≮⫘↔11001001011⪛≮⫘↔110011111101=≮⫘↔11001001011","layer":3},{"info":"⪝⪂⫅≮⫘↔11001001011=≮⫘↔-111001110100010001","layer":2},{"info":"≮⫘↔0⨵⪆≮⫘↔-111001110100010001=≮⫘↔10100000","layer":1},{"info":"≮⫘↔-101100010111⨐⩸⫘≮⫘↔10100000=≮⫘↔-10100011","layer":0}]}
{"id":246,"expression_no_base_symbol":"((($7237$%$2917$)∲⫓$2305$⊭↱$5264$)-($2613$⇋≉)↙(≤/$2580$))⩷∴(($1497$⨓$1432$⩤)⩨($1497$↪⪝)↺$1157$⩚⊴⇥$2868$)","expression":"(((≮⫘↔1110001000101%≮⫘↔101101100101)∲⫓≮⫘↔100100000001⊭↱≮⫘↔1010010010000)-(≮⫘↔101000110101⇋≉)↙(≤/≮⫘↔101000010100))⩷∴((≮⫘↔10111011001⨓≮⫘↔10110011000⩤)⩨(≮⫘↔10111011001↪⪝)↺≮⫘↔10010000101⩚⊴⇥≮⫘↔101100110100)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4269,"operation_count":14,"complexity_ratio":304.92857142857144,"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":7237,"base":2},"right_expr":{"type":"numeric_atoms","value":2917,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2305,"base":2},"right_expr":{"type":"numeric_atoms","value":5264,"base":2}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2613,"base":2}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2580,"base":2}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1497,"base":2},"right_expr":{"type":"numeric_atoms","value":1432,"base":2}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1497,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1157,"base":2},"right_expr":{"type":"numeric_atoms","value":2868,"base":2}}}}},"used_operators":["9FxExcQeMw","rysDP5nf3Z","i8ToyICDmI","k8jYdgA6NY","COABgblf1C","yyfyN0ffXY","XIabStNQrY","eLAdDNolq6","2DlMacCsIx","Z2TMIBDE3Q","3ViojmjbAp","7j4O788W3g","l07mrZUIn9","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"≮⫘↔-11000101010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7237","layer":4},{"info":"number node, value=2917","layer":4},{"info":"compute binary expreesion, left_input=7237, right_input=2917, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1403","layer":3},{"info":"number node, value=2305","layer":4},{"info":"number node, value=5264","layer":4},{"info":"compute binary expreesion, left_input=2305, right_input=5264, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5923","layer":3},{"info":"compute binary expreesion, left_input=1403, right_input=5923, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=2613","layer":4},{"info":"compute unary expreesion, input=2613, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5128","layer":3},{"info":"number node, value=2580","layer":4},{"info":"compute unary expreesion, input=2580, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2096","layer":3},{"info":"compute binary expreesion, left_input=5128, right_input=-2096, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=6288","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=6288, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-6288","layer":1},{"info":"number node, value=1497","layer":4},{"info":"number node, value=1432","layer":4},{"info":"compute binary expreesion, left_input=1497, right_input=1432, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1435","layer":3},{"info":"compute unary expreesion, input=-1435, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=1435","layer":2},{"info":"number node, value=1497","layer":4},{"info":"compute unary expreesion, input=1497, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=91589454","layer":3},{"info":"number node, value=1157","layer":4},{"info":"number node, value=2868","layer":4},{"info":"compute binary expreesion, left_input=1157, right_input=2868, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4146","layer":3},{"info":"compute binary expreesion, left_input=91589454, right_input=-4146, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-4146","layer":2},{"info":"compute binary expreesion, left_input=1435, right_input=-4146, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=9","layer":1},{"info":"compute binary expreesion, left_input=-6288, right_input=9, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-12626","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1110001000101%≮⫘↔101101100101)∲⫓≮⫘↔100100000001⊭↱≮⫘↔1010010010000)-(≮⫘↔101000110101⇋≉)↙(≤/≮⫘↔101000010100))⩷∴((≮⫘↔10111011001⨓≮⫘↔10110011000⩤)⩨(≮⫘↔10111011001↪⪝)↺≮⫘↔10010000101⩚⊴⇥≮⫘↔101100110100)=≮⫘↔-11000101010010","reverse_text":"≮⫘↔-11000101010010=(((≮⫘↔1110001000101%≮⫘↔101101100101)∲⫓≮⫘↔100100000001⊭↱≮⫘↔1010010010000)-(≮⫘↔101000110101⇋≉)↙(≤/≮⫘↔101000010100))⩷∴((≮⫘↔10111011001⨓≮⫘↔10110011000⩤)⩨(≮⫘↔10111011001↪⪝)↺≮⫘↔10010000101⩚⊴⇥≮⫘↔101100110100)","cot":[{"info":"≮⫘↔1110001000101%≮⫘↔101101100101=≮⫘↔10101111011","layer":3},{"info":"≮⫘↔100100000001⊭↱≮⫘↔1010010010000=≮⫘↔1011100100011","layer":3},{"info":"≮⫘↔10101111011∲⫓≮⫘↔1011100100011=≮⫘↔0","layer":2},{"info":"≮⫘↔101000110101⇋≉=≮⫘↔1010000001000","layer":3},{"info":"≤/≮⫘↔101000010100=≮⫘↔-100000110000","layer":3},{"info":"≮⫘↔1010000001000↙≮⫘↔-100000110000=≮⫘↔1100010010000","layer":2},{"info":"≮⫘↔0-≮⫘↔1100010010000=≮⫘↔-1100010010000","layer":1},{"info":"≮⫘↔10111011001⨓≮⫘↔10110011000=≮⫘↔-10110011011","layer":3},{"info":"≮⫘↔-10110011011⩤=≮⫘↔10110011011","layer":2},{"info":"≮⫘↔10111011001↪⪝=≮⫘↔101011101011000101101001110","layer":3},{"info":"≮⫘↔10010000101⩚⊴⇥≮⫘↔101100110100=≮⫘↔-1000000110010","layer":3},{"info":"≮⫘↔101011101011000101101001110↺≮⫘↔-1000000110010=≮⫘↔-1000000110010","layer":2},{"info":"≮⫘↔10110011011⩨≮⫘↔-1000000110010=≮⫘↔1001","layer":1},{"info":"≮⫘↔-1100010010000⩷∴≮⫘↔1001=≮⫘↔-11000101010010","layer":0}]}
{"id":247,"expression_no_base_symbol":"⊄⩳↩((-$1954$⪒$3782$)%($4247$*$1204$)⪘⫢(⨰⫟⨤$3489$))","expression":"⊄⩳↩((-≮⫘↔11110100010⪒≮⫘↔111011000110)%(≮⫘↔1000010010111*≮⫘↔10010110100)⪘⫢(⨰⫟⨤≮⫘↔110110100001))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14337,"operation_count":7,"complexity_ratio":2048.1428571428573,"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":1954,"base":2},"right_expr":{"type":"numeric_atoms","value":3782,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4247,"base":2},"right_expr":{"type":"numeric_atoms","value":1204,"base":2}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3489,"base":2}}}}},"used_operators":["8w2t5hMYqp","k8jYdgA6NY","t8gj7n24qd","f6k1SAg4EE","oacrs7FA3X","9HNa5Wba9A","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1954","layer":4},{"info":"number node, value=3782","layer":4},{"info":"compute binary expreesion, left_input=1954, right_input=3782, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5736","layer":3},{"info":"compute unary expreesion, input=-5736, op_id = t8gj7n24qd, unary_op_definition = 'None', output=5736","layer":2},{"info":"number node, value=4247","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=4247, right_input=1204, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5113388","layer":3},{"info":"number node, value=3489","layer":4},{"info":"compute unary expreesion, input=3489, 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=5113388, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5736, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⊄⩳↩((-≮⫘↔11110100010⪒≮⫘↔111011000110)%(≮⫘↔1000010010111*≮⫘↔10010110100)⪘⫢(⨰⫟⨤≮⫘↔110110100001))=NaN","reverse_text":"NaN=⊄⩳↩((-≮⫘↔11110100010⪒≮⫘↔111011000110)%(≮⫘↔1000010010111*≮⫘↔10010110100)⪘⫢(⨰⫟⨤≮⫘↔110110100001))","cot":[{"info":"≮⫘↔11110100010⪒≮⫘↔111011000110=≮⫘↔-1011001101000","layer":3},{"info":"-≮⫘↔-1011001101000=≮⫘↔1011001101000","layer":2},{"info":"≮⫘↔1000010010111*≮⫘↔10010110100=≮⫘↔10011100000011000101100","layer":3},{"info":"⨰⫟⨤≮⫘↔110110100001=NaN","layer":3},{"info":"≮⫘↔10011100000011000101100⪘⫢NaN=NaN","layer":2},{"info":"≮⫘↔1011001101000%NaN=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":248,"expression_no_base_symbol":"⊙↵-((↽≂$4436$)≎⊠⪸($4690$⊉≛↸$2087$)⊦⊿)","expression":"⊙↵-((↽≂≮⫘↔1000101010100)≎⊠⪸(≮⫘↔1001001010010⊉≛↸≮⫘↔100000100111)⊦⊿)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":315,"operation_count":5,"complexity_ratio":63.0,"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":4436,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4690,"base":2},"right_expr":{"type":"numeric_atoms","value":2087,"base":2}}}}},"used_operators":["oWn0xqSxBt","14qkJME0vr","bJkvcejdHO","u6S6b8DprG","DZ8iAZOCBD"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔11000100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4436","layer":4},{"info":"compute unary expreesion, input=4436, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8872","layer":3},{"info":"number node, value=4690","layer":4},{"info":"number node, value=2087","layer":4},{"info":"compute binary expreesion, left_input=4690, right_input=2087, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9380","layer":3},{"info":"compute binary expreesion, left_input=-8872, right_input=9380, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2297848","layer":2},{"info":"compute unary expreesion, input=2297848, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6893623","layer":1},{"info":"compute unary expreesion, input=-6893623, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":0}],"base":2,"result_base":2,"text":"⊙↵-((↽≂≮⫘↔1000101010100)≎⊠⪸(≮⫘↔1001001010010⊉≛↸≮⫘↔100000100111)⊦⊿)=≮⫘↔11000100","reverse_text":"≮⫘↔11000100=⊙↵-((↽≂≮⫘↔1000101010100)≎⊠⪸(≮⫘↔1001001010010⊉≛↸≮⫘↔100000100111)⊦⊿)","cot":[{"info":"↽≂≮⫘↔1000101010100=≮⫘↔-10001010101000","layer":3},{"info":"≮⫘↔1001001010010⊉≛↸≮⫘↔100000100111=≮⫘↔10010010100100","layer":3},{"info":"≮⫘↔-10001010101000≎⊠⪸≮⫘↔10010010100100=≮⫘↔1000110000111111111000","layer":2},{"info":"≮⫘↔1000110000111111111000⊦⊿=≮⫘↔-11010010011000000110111","layer":1},{"info":"⊙↵-≮⫘↔-11010010011000000110111=≮⫘↔11000100","layer":0}]}
{"id":249,"expression_no_base_symbol":"(∥⊫(($2279$↛⩡⫤)%$2154$⪄$3086$))⨰(⩦⩻⨪($5253$+⇶⊼$1240$)∼$7264$⨟⋌⩍$1743$)","expression":"(∥⊫((≮⫘↔100011100111↛⩡⫤)%≮⫘↔100001101010⪄≮⫘↔110000001110))⨰(⩦⩻⨪(≮⫘↔1010010000101+⇶⊼≮⫘↔10011011000)∼≮⫘↔1110001100000⨟⋌⩍≮⫘↔11011001111)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7084,"operation_count":9,"complexity_ratio":787.1111111111111,"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":2279,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2154,"base":2},"right_expr":{"type":"numeric_atoms","value":3086,"base":2}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5253,"base":2},"right_expr":{"type":"numeric_atoms","value":1240,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7264,"base":2},"right_expr":{"type":"numeric_atoms","value":1743,"base":2}}}}},"used_operators":["eewbuw0ToL","P8v4zCKN1o","k8jYdgA6NY","FU0Cs4j7VP","SUmda5xLS4","2td37pGCOC","DyGG3AbaNP","TpPTUOHfaN","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2279","layer":4},{"info":"compute unary expreesion, input=2279, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-340218","layer":3},{"info":"number node, value=2154","layer":4},{"info":"number node, value=3086","layer":4},{"info":"compute binary expreesion, left_input=2154, right_input=3086, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-327225","layer":3},{"info":"compute binary expreesion, left_input=-340218, right_input=-327225, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-12993","layer":2},{"info":"compute unary expreesion, input=-12993, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":1},{"info":"number node, value=5253","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=5253, right_input=1240, 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=7264","layer":4},{"info":"number node, value=1743","layer":4},{"info":"compute binary expreesion, left_input=7264, right_input=1743, 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 = 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(∥⊫((≮⫘↔100011100111↛⩡⫤)%≮⫘↔100001101010⪄≮⫘↔110000001110))⨰(⩦⩻⨪(≮⫘↔1010010000101+⇶⊼≮⫘↔10011011000)∼≮⫘↔1110001100000⨟⋌⩍≮⫘↔11011001111)=NaN","reverse_text":"NaN=(∥⊫((≮⫘↔100011100111↛⩡⫤)%≮⫘↔100001101010⪄≮⫘↔110000001110))⨰(⩦⩻⨪(≮⫘↔1010010000101+⇶⊼≮⫘↔10011011000)∼≮⫘↔1110001100000⨟⋌⩍≮⫘↔11011001111)","cot":[{"info":"≮⫘↔100011100111↛⩡⫤=≮⫘↔-1010011000011111010","layer":3},{"info":"≮⫘↔100001101010⪄≮⫘↔110000001110=≮⫘↔-1001111111000111001","layer":3},{"info":"≮⫘↔-1010011000011111010%≮⫘↔-1001111111000111001=≮⫘↔-11001011000001","layer":2},{"info":"∥⊫≮⫘↔-11001011000001=≮⫘↔-110111","layer":1},{"info":"≮⫘↔1010010000101+⇶⊼≮⫘↔10011011000=NaN","layer":3},{"info":"≮⫘↔1110001100000⨟⋌⩍≮⫘↔11011001111=NaN","layer":3},{"info":"NaN∼NaN=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"≮⫘↔-110111⨰NaN=NaN","layer":0}]}
{"id":250,"expression_no_base_symbol":"(($1816$⩨$1170$)↺(⊄⩳↩$1608$))∑⇟⊟((-$5175$)⋥≓≎($1097$⨳⩥⨓$3092$))∑⇟⊟($1400$⪨≂$1156$⪨≂$1176$⩚⊴⇥$1511$)⇷(($2158$⨵⪆$4244$)*$6878$⨐⩸⫘$2219$)","expression":"((≮⫘↔11100011000⩨≮⫘↔10010010010)↺(⊄⩳↩≮⫘↔11001001000))∑⇟⊟((-≮⫘↔1010000110111)⋥≓≎(≮⫘↔10001001001⨳⩥⨓≮⫘↔110000010100))∑⇟⊟(≮⫘↔10101111000⪨≂≮⫘↔10010000100⪨≂≮⫘↔10010011000⩚⊴⇥≮⫘↔10111100111)⇷((≮⫘↔100001101110⨵⪆≮⫘↔1000010010100)*≮⫘↔1101011011110⨐⩸⫘≮⫘↔100010101011)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":101170,"operation_count":15,"complexity_ratio":6744.666666666667,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1816,"base":2},"right_expr":{"type":"numeric_atoms","value":1170,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1608,"base":2}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5175,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1097,"base":2},"right_expr":{"type":"numeric_atoms","value":3092,"base":2}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1400,"base":2},"right_expr":{"type":"numeric_atoms","value":1156,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1176,"base":2},"right_expr":{"type":"numeric_atoms","value":1511,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2158,"base":2},"right_expr":{"type":"numeric_atoms","value":4244,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6878,"base":2},"right_expr":{"type":"numeric_atoms","value":2219,"base":2}}}}},"used_operators":["U7g4x0WXJJ","7j4O788W3g","2DlMacCsIx","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","nCS4ZIUYfx","mp7IySMOzn","sdazOOVcIp","NTOWxs364D","9HNa5Wba9A","2DQ55sFlQl","fu6greOZ01"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1816","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=1816, right_input=1170, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1608","layer":4},{"info":"compute unary expreesion, input=1608, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4824","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4824, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-4824","layer":2},{"info":"number node, value=5175","layer":4},{"info":"compute unary expreesion, input=5175, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5175","layer":3},{"info":"number node, value=1097","layer":4},{"info":"number node, value=3092","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=3092, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1995","layer":3},{"info":"compute binary expreesion, left_input=-5175, right_input=1995, 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=-4824, right_input=67, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1400","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=1400, right_input=1156, 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=590","layer":3},{"info":"number node, value=1176","layer":4},{"info":"number node, value=1511","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=1511, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2808","layer":3},{"info":"compute binary expreesion, left_input=590, right_input=-2808, 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=6898","layer":2},{"info":"number node, value=2158","layer":4},{"info":"number node, value=4244","layer":4},{"info":"compute binary expreesion, left_input=2158, right_input=4244, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=6878","layer":4},{"info":"number node, value=2219","layer":4},{"info":"compute binary expreesion, left_input=6878, right_input=2219, 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=160, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6898, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11100011000⩨≮⫘↔10010010010)↺(⊄⩳↩≮⫘↔11001001000))∑⇟⊟((-≮⫘↔1010000110111)⋥≓≎(≮⫘↔10001001001⨳⩥⨓≮⫘↔110000010100))∑⇟⊟(≮⫘↔10101111000⪨≂≮⫘↔10010000100⪨≂≮⫘↔10010011000⩚⊴⇥≮⫘↔10111100111)⇷((≮⫘↔100001101110⨵⪆≮⫘↔1000010010100)*≮⫘↔1101011011110⨐⩸⫘≮⫘↔100010101011)=NaN","reverse_text":"NaN=((≮⫘↔11100011000⩨≮⫘↔10010010010)↺(⊄⩳↩≮⫘↔11001001000))∑⇟⊟((-≮⫘↔1010000110111)⋥≓≎(≮⫘↔10001001001⨳⩥⨓≮⫘↔110000010100))∑⇟⊟(≮⫘↔10101111000⪨≂≮⫘↔10010000100⪨≂≮⫘↔10010011000⩚⊴⇥≮⫘↔10111100111)⇷((≮⫘↔100001101110⨵⪆≮⫘↔1000010010100)*≮⫘↔1101011011110⨐⩸⫘≮⫘↔100010101011)","cot":[{"info":"≮⫘↔11100011000⩨≮⫘↔10010010010=≮⫘↔0","layer":3},{"info":"⊄⩳↩≮⫘↔11001001000=≮⫘↔-1001011011000","layer":3},{"info":"≮⫘↔0↺≮⫘↔-1001011011000=≮⫘↔-1001011011000","layer":2},{"info":"-≮⫘↔1010000110111=≮⫘↔-1010000110111","layer":3},{"info":"≮⫘↔10001001001⨳⩥⨓≮⫘↔110000010100=≮⫘↔11111001011","layer":3},{"info":"≮⫘↔-1010000110111⋥≓≎≮⫘↔11111001011=≮⫘↔1000011","layer":2},{"info":"≮⫘↔-1001011011000∑⇟⊟≮⫘↔1000011=NaN","layer":1},{"info":"≮⫘↔10101111000⪨≂≮⫘↔10010000100=≮⫘↔1001001110","layer":3},{"info":"≮⫘↔10010011000⩚⊴⇥≮⫘↔10111100111=≮⫘↔-101011111000","layer":3},{"info":"≮⫘↔1001001110⪨≂≮⫘↔-101011111000=≮⫘↔1101011110010","layer":2},{"info":"≮⫘↔100001101110⨵⪆≮⫘↔1000010010100=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1101011011110⨐⩸⫘≮⫘↔100010101011=NaN","layer":3},{"info":"≮⫘↔10100000*NaN=NaN","layer":2},{"info":"≮⫘↔1101011110010⇷NaN=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":251,"expression_no_base_symbol":"($1490$∑⇟⊟$6242$⊦⊿)≹⇙⪍((-$4506$)⨐⩸⫘$1006$≹⇙⪍$2323$)⋷($4098$⪛$3181$⨳⩥⨓($7607$⨵⪆$5629$))⪢(($1008$⋥≓≎$3693$)⋝⋈⪟(-$6162$))","expression":"(≮⫘↔10111010010∑⇟⊟≮⫘↔1100001100010⊦⊿)≹⇙⪍((-≮⫘↔1000110011010)⨐⩸⫘≮⫘↔1111101110≹⇙⪍≮⫘↔100100010011)⋷(≮⫘↔1000000000010⪛≮⫘↔110001101101⨳⩥⨓(≮⫘↔1110110110111⨵⪆≮⫘↔1010111111101))⪢((≮⫘↔1111110000⋥≓≎≮⫘↔111001101101)⋝⋈⪟(-≮⫘↔1100000010010))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7617,"operation_count":14,"complexity_ratio":544.0714285714286,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1490,"base":2},"right_expr":{"type":"numeric_atoms","value":6242,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4506,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1006,"base":2},"right_expr":{"type":"numeric_atoms","value":2323,"base":2}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4098,"base":2},"right_expr":{"type":"numeric_atoms","value":3181,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":7607,"base":2},"right_expr":{"type":"numeric_atoms","value":5629,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1008,"base":2},"right_expr":{"type":"numeric_atoms","value":3693,"base":2}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":6162,"base":2}}}}},"used_operators":["23Mk6UjR3U","AHs5Up7iyr","14qkJME0vr","U7g4x0WXJJ","fu6greOZ01","t8gj7n24qd","dWAJyo7jo9","nCS4ZIUYfx","uFcxV4UQCh","2DQ55sFlQl","2DDjHMKMc0","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1490","layer":4},{"info":"number node, value=6242","layer":4},{"info":"compute binary expreesion, left_input=1490, right_input=6242, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=4506","layer":4},{"info":"compute unary expreesion, input=4506, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4506","layer":3},{"info":"number node, value=1006","layer":4},{"info":"number node, value=2323","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=2323, 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=-4506, 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=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":"number node, value=4098","layer":4},{"info":"number node, value=3181","layer":4},{"info":"compute binary expreesion, left_input=4098, right_input=3181, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=917","layer":3},{"info":"number node, value=7607","layer":4},{"info":"number node, value=5629","layer":4},{"info":"compute binary expreesion, left_input=7607, right_input=5629, 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=917, right_input=160, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-757","layer":2},{"info":"number node, value=1008","layer":4},{"info":"number node, value=3693","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=3693, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6411","layer":3},{"info":"number node, value=6162","layer":4},{"info":"compute unary expreesion, input=6162, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6162","layer":3},{"info":"compute binary expreesion, left_input=6411, right_input=-6162, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6411","layer":2},{"info":"compute binary expreesion, left_input=-757, right_input=6411, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10111010010∑⇟⊟≮⫘↔1100001100010⊦⊿)≹⇙⪍((-≮⫘↔1000110011010)⨐⩸⫘≮⫘↔1111101110≹⇙⪍≮⫘↔100100010011)⋷(≮⫘↔1000000000010⪛≮⫘↔110001101101⨳⩥⨓(≮⫘↔1110110110111⨵⪆≮⫘↔1010111111101))⪢((≮⫘↔1111110000⋥≓≎≮⫘↔111001101101)⋝⋈⪟(-≮⫘↔1100000010010))=NaN","reverse_text":"NaN=(≮⫘↔10111010010∑⇟⊟≮⫘↔1100001100010⊦⊿)≹⇙⪍((-≮⫘↔1000110011010)⨐⩸⫘≮⫘↔1111101110≹⇙⪍≮⫘↔100100010011)⋷(≮⫘↔1000000000010⪛≮⫘↔110001101101⨳⩥⨓(≮⫘↔1110110110111⨵⪆≮⫘↔1010111111101))⪢((≮⫘↔1111110000⋥≓≎≮⫘↔111001101101)⋝⋈⪟(-≮⫘↔1100000010010))","cot":[{"info":"≮⫘↔10111010010∑⇟⊟≮⫘↔1100001100010=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"-≮⫘↔1000110011010=≮⫘↔-1000110011010","layer":3},{"info":"≮⫘↔1111101110≹⇙⪍≮⫘↔100100010011=NaN","layer":3},{"info":"≮⫘↔-1000110011010⨐⩸⫘NaN=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"≮⫘↔1000000000010⪛≮⫘↔110001101101=≮⫘↔1110010101","layer":3},{"info":"≮⫘↔1110110110111⨵⪆≮⫘↔1010111111101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1110010101⨳⩥⨓≮⫘↔10100000=≮⫘↔-1011110101","layer":2},{"info":"≮⫘↔1111110000⋥≓≎≮⫘↔111001101101=≮⫘↔1100100001011","layer":3},{"info":"-≮⫘↔1100000010010=≮⫘↔-1100000010010","layer":3},{"info":"≮⫘↔1100100001011⋝⋈⪟≮⫘↔-1100000010010=≮⫘↔1100100001011","layer":2},{"info":"≮⫘↔-1011110101⪢≮⫘↔1100100001011=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":252,"expression_no_base_symbol":"(⨑⩽⪐($5627$⨸⪁$6973$))⪛($3753$⩚⊴⇥$3167$⨸⪁$2220$≎⊠⪸$1188$)⨓($7800$⪢$2727$≭($6509$⪨≂$1545$))≹⇙⪍(⫛⫱⨽($1194$⩚⊴⇥$4969$))","expression":"(⨑⩽⪐(≮⫘↔1010111111011⨸⪁≮⫘↔1101100111101))⪛(≮⫘↔111010101001⩚⊴⇥≮⫘↔110001011111⨸⪁≮⫘↔100010101100≎⊠⪸≮⫘↔10010100100)⨓(≮⫘↔1111001111000⪢≮⫘↔101010100111≭(≮⫘↔1100101101101⪨≂≮⫘↔11000001001))≹⇙⪍(⫛⫱⨽(≮⫘↔10010101010⩚⊴⇥≮⫘↔1001101101001))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4636,"operation_count":13,"complexity_ratio":356.61538461538464,"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":5627,"base":2},"right_expr":{"type":"numeric_atoms","value":6973,"base":2}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3753,"base":2},"right_expr":{"type":"numeric_atoms","value":3167,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2220,"base":2},"right_expr":{"type":"numeric_atoms","value":1188,"base":2}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7800,"base":2},"right_expr":{"type":"numeric_atoms","value":2727,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6509,"base":2},"right_expr":{"type":"numeric_atoms","value":1545,"base":2}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1194,"base":2},"right_expr":{"type":"numeric_atoms","value":4969,"base":2}}}}},"used_operators":["3ViojmjbAp","uFcxV4UQCh","AF7qkfDlqP","g55IO6H4Gj","NTOWxs364D","bJkvcejdHO","AHs5Up7iyr","rxpJgHHUmx","dWAJyo7jo9","sdazOOVcIp","DlLNRPXxWL"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","AHs5Up7iyr","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5627","layer":4},{"info":"number node, value=6973","layer":4},{"info":"compute binary expreesion, left_input=5627, right_input=6973, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=25200","layer":3},{"info":"compute unary expreesion, input=25200, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-24927","layer":2},{"info":"number node, value=3753","layer":4},{"info":"number node, value=3167","layer":4},{"info":"compute binary expreesion, left_input=3753, right_input=3167, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7041","layer":3},{"info":"number node, value=2220","layer":4},{"info":"number node, value=1188","layer":4},{"info":"compute binary expreesion, left_input=2220, right_input=1188, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=574507","layer":3},{"info":"compute binary expreesion, left_input=-7041, right_input=574507, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=1134932","layer":2},{"info":"compute binary expreesion, left_input=-24927, right_input=1134932, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1110005","layer":1},{"info":"number node, value=7800","layer":4},{"info":"number node, value=2727","layer":4},{"info":"compute binary expreesion, left_input=7800, right_input=2727, 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=6509","layer":4},{"info":"number node, value=1545","layer":4},{"info":"compute binary expreesion, left_input=6509, right_input=1545, 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=10030","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10030, 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=1194","layer":4},{"info":"number node, value=4969","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=4969, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6284","layer":3},{"info":"compute unary expreesion, input=-6284, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":1},{"info":"compute binary expreesion, left_input=1110005, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨑⩽⪐(≮⫘↔1010111111011⨸⪁≮⫘↔1101100111101))⪛(≮⫘↔111010101001⩚⊴⇥≮⫘↔110001011111⨸⪁≮⫘↔100010101100≎⊠⪸≮⫘↔10010100100)⨓(≮⫘↔1111001111000⪢≮⫘↔101010100111≭(≮⫘↔1100101101101⪨≂≮⫘↔11000001001))≹⇙⪍(⫛⫱⨽(≮⫘↔10010101010⩚⊴⇥≮⫘↔1001101101001))=NaN","reverse_text":"NaN=(⨑⩽⪐(≮⫘↔1010111111011⨸⪁≮⫘↔1101100111101))⪛(≮⫘↔111010101001⩚⊴⇥≮⫘↔110001011111⨸⪁≮⫘↔100010101100≎⊠⪸≮⫘↔10010100100)⨓(≮⫘↔1111001111000⪢≮⫘↔101010100111≭(≮⫘↔1100101101101⪨≂≮⫘↔11000001001))≹⇙⪍(⫛⫱⨽(≮⫘↔10010101010⩚⊴⇥≮⫘↔1001101101001))","cot":[{"info":"≮⫘↔1010111111011⨸⪁≮⫘↔1101100111101=≮⫘↔110001001110000","layer":3},{"info":"⨑⩽⪐≮⫘↔110001001110000=≮⫘↔-110000101011111","layer":2},{"info":"≮⫘↔111010101001⩚⊴⇥≮⫘↔110001011111=≮⫘↔-1101110000001","layer":3},{"info":"≮⫘↔100010101100≎⊠⪸≮⫘↔10010100100=≮⫘↔10001100010000101011","layer":3},{"info":"≮⫘↔-1101110000001⨸⪁≮⫘↔10001100010000101011=≮⫘↔100010101000101010100","layer":2},{"info":"≮⫘↔-110000101011111⪛≮⫘↔100010101000101010100=≮⫘↔100001110111111110101","layer":1},{"info":"≮⫘↔1111001111000⪢≮⫘↔101010100111=NaN","layer":3},{"info":"≮⫘↔1100101101101⪨≂≮⫘↔11000001001=≮⫘↔10011100101110","layer":3},{"info":"NaN≭≮⫘↔10011100101110=NaN","layer":2},{"info":"≮⫘↔10010101010⩚⊴⇥≮⫘↔1001101101001=≮⫘↔-1100010001100","layer":3},{"info":"⫛⫱⨽≮⫘↔-1100010001100=≮⫘↔0","layer":2},{"info":"NaN≹⇙⪍≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔100001110111111110101⨓NaN=NaN","layer":0}]}
{"id":253,"expression_no_base_symbol":"(($4498$⪄$2579$)+⇶⊼$1409$⪢$6900$⫸⊐($4770$⪒$1108$)∀⇚≩($1352$⊦⊿))⩷∴(($1862$⇼⇔∾$2999$)⋝⋈⪟($2169$⨐⩸⫘$6672$)⩨$9304$⨎$2515$⪄$2219$↙$1256$)","expression":"((≮⫘↔1000110010010⪄≮⫘↔101000010011)+⇶⊼≮⫘↔10110000001⪢≮⫘↔1101011110100⫸⊐(≮⫘↔1001010100010⪒≮⫘↔10001010100)∀⇚≩(≮⫘↔10101001000⊦⊿))⩷∴((≮⫘↔11101000110⇼⇔∾≮⫘↔101110110111)⋝⋈⪟(≮⫘↔100001111001⨐⩸⫘≮⫘↔1101000010000)⩨≮⫘↔10010001011000⨎≮⫘↔100111010011⪄≮⫘↔100010101011↙≮⫘↔10011101000)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":49525,"operation_count":15,"complexity_ratio":3301.6666666666665,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4498,"base":2},"right_expr":{"type":"numeric_atoms","value":2579,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1409,"base":2},"right_expr":{"type":"numeric_atoms","value":6900,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4770,"base":2},"right_expr":{"type":"numeric_atoms","value":1108,"base":2}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1352,"base":2}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1862,"base":2},"right_expr":{"type":"numeric_atoms","value":2999,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2169,"base":2},"right_expr":{"type":"numeric_atoms","value":6672,"base":2}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":9304,"base":2},"right_expr":{"type":"numeric_atoms","value":2515,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2219,"base":2},"right_expr":{"type":"numeric_atoms","value":1256,"base":2}}}}},"used_operators":["9FxExcQeMw","mqXw5SEYmG","TpPTUOHfaN","SUmda5xLS4","dWAJyo7jo9","LRNGc0VcxI","f6k1SAg4EE","14qkJME0vr","2DlMacCsIx","2DDjHMKMc0","tifHPKVTfV","fu6greOZ01","rJVOvQCfKK","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4498","layer":4},{"info":"number node, value=2579","layer":4},{"info":"compute binary expreesion, left_input=4498, right_input=2579, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-672109","layer":3},{"info":"number node, value=1409","layer":4},{"info":"number node, value=6900","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=6900, 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=-672109, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4770","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=4770, right_input=1108, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5878","layer":3},{"info":"number node, value=1352","layer":4},{"info":"compute unary expreesion, input=1352, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4135","layer":3},{"info":"compute binary expreesion, left_input=-5878, right_input=-4135, 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 = 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=1862","layer":4},{"info":"number node, value=2999","layer":4},{"info":"compute binary expreesion, left_input=1862, right_input=2999, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1137","layer":3},{"info":"number node, value=2169","layer":4},{"info":"number node, value=6672","layer":4},{"info":"compute binary expreesion, left_input=2169, right_input=6672, 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=1137, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=9304","layer":4},{"info":"number node, value=2515","layer":4},{"info":"compute binary expreesion, left_input=9304, right_input=2515, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2515","layer":3},{"info":"number node, value=2219","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=2219, right_input=1256, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3768","layer":3},{"info":"compute binary expreesion, left_input=2515, right_input=-3768, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-353237","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-353237, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1000110010010⪄≮⫘↔101000010011)+⇶⊼≮⫘↔10110000001⪢≮⫘↔1101011110100⫸⊐(≮⫘↔1001010100010⪒≮⫘↔10001010100)∀⇚≩(≮⫘↔10101001000⊦⊿))⩷∴((≮⫘↔11101000110⇼⇔∾≮⫘↔101110110111)⋝⋈⪟(≮⫘↔100001111001⨐⩸⫘≮⫘↔1101000010000)⩨≮⫘↔10010001011000⨎≮⫘↔100111010011⪄≮⫘↔100010101011↙≮⫘↔10011101000)=NaN","reverse_text":"NaN=((≮⫘↔1000110010010⪄≮⫘↔101000010011)+⇶⊼≮⫘↔10110000001⪢≮⫘↔1101011110100⫸⊐(≮⫘↔1001010100010⪒≮⫘↔10001010100)∀⇚≩(≮⫘↔10101001000⊦⊿))⩷∴((≮⫘↔11101000110⇼⇔∾≮⫘↔101110110111)⋝⋈⪟(≮⫘↔100001111001⨐⩸⫘≮⫘↔1101000010000)⩨≮⫘↔10010001011000⨎≮⫘↔100111010011⪄≮⫘↔100010101011↙≮⫘↔10011101000)","cot":[{"info":"≮⫘↔1000110010010⪄≮⫘↔101000010011=≮⫘↔-10100100000101101101","layer":3},{"info":"≮⫘↔10110000001⪢≮⫘↔1101011110100=NaN","layer":3},{"info":"≮⫘↔-10100100000101101101+⇶⊼NaN=NaN","layer":2},{"info":"≮⫘↔1001010100010⪒≮⫘↔10001010100=≮⫘↔-1011011110110","layer":3},{"info":"≮⫘↔10101001000⊦⊿=≮⫘↔-1000000100111","layer":3},{"info":"≮⫘↔-1011011110110∀⇚≩≮⫘↔-1000000100111=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"≮⫘↔11101000110⇼⇔∾≮⫘↔101110110111=≮⫘↔10001110001","layer":3},{"info":"≮⫘↔100001111001⨐⩸⫘≮⫘↔1101000010000=NaN","layer":3},{"info":"≮⫘↔10001110001⋝⋈⪟NaN=NaN","layer":2},{"info":"≮⫘↔10010001011000⨎≮⫘↔100111010011=≮⫘↔100111010011","layer":3},{"info":"≮⫘↔100010101011↙≮⫘↔10011101000=≮⫘↔-111010111000","layer":3},{"info":"≮⫘↔100111010011⪄≮⫘↔-111010111000=≮⫘↔-1010110001111010101","layer":2},{"info":"NaN⩨≮⫘↔-1010110001111010101=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":254,"expression_no_base_symbol":"(($5613$⊭↱$2392$⫡⨏$1464$⨳⩥⨓$1716$)⪘⫢((⇁⨣⪵$1946$)⇼⇔∾(⩦⩻⨪$3847$)))⪮%⊝(($4889$⨟⋌⩍$2322$⋷$1616$-$1217$)↙($1677$⨳⩥⨓$5219$)⪘⫢$1401$⪘⫢$2020$)","expression":"((≮⫘↔1010111101101⊭↱≮⫘↔100101011000⫡⨏≮⫘↔10110111000⨳⩥⨓≮⫘↔11010110100)⪘⫢((⇁⨣⪵≮⫘↔11110011010)⇼⇔∾(⩦⩻⨪≮⫘↔111100000111)))⪮%⊝((≮⫘↔1001100011001⨟⋌⩍≮⫘↔100100010010⋷≮⫘↔11001010000-≮⫘↔10011000001)↙(≮⫘↔11010001101⨳⩥⨓≮⫘↔1010001100011)⪘⫢≮⫘↔10101111001⪘⫢≮⫘↔11111100100)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":78,"operation_count":15,"complexity_ratio":5.2,"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":5613,"base":2},"right_expr":{"type":"numeric_atoms","value":2392,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1464,"base":2},"right_expr":{"type":"numeric_atoms","value":1716,"base":2}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1946,"base":2}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3847,"base":2}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4889,"base":2},"right_expr":{"type":"numeric_atoms","value":2322,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1616,"base":2},"right_expr":{"type":"numeric_atoms","value":1217,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1677,"base":2},"right_expr":{"type":"numeric_atoms","value":5219,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1401,"base":2},"right_expr":{"type":"numeric_atoms","value":2020,"base":2}}}}},"used_operators":["IWmyXbctLI","oacrs7FA3X","QMFrweE19q","COABgblf1C","nCS4ZIUYfx","tifHPKVTfV","inkyxCbjAn","2td37pGCOC","yyfyN0ffXY","23Mk6UjR3U","rGHVDoGpnC","rysDP5nf3Z"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5613","layer":4},{"info":"number node, value=2392","layer":4},{"info":"compute binary expreesion, left_input=5613, right_input=2392, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6437","layer":3},{"info":"number node, value=1464","layer":4},{"info":"number node, value=1716","layer":4},{"info":"compute binary expreesion, left_input=1464, right_input=1716, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=252","layer":3},{"info":"compute binary expreesion, left_input=-6437, right_input=252, 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=-30898","layer":2},{"info":"number node, value=1946","layer":4},{"info":"compute unary expreesion, input=1946, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3847","layer":4},{"info":"compute unary expreesion, input=3847, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3847","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3847, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-30898, 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=4889","layer":4},{"info":"number node, value=2322","layer":4},{"info":"compute binary expreesion, left_input=4889, right_input=2322, 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=1616","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=1616, right_input=1217, op_id = rysDP5nf3Z binary_op_definition= 'None', output=399","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=399, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=1677","layer":4},{"info":"number node, value=5219","layer":4},{"info":"compute binary expreesion, left_input=1677, right_input=5219, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3542","layer":3},{"info":"number node, value=1401","layer":4},{"info":"number node, value=2020","layer":4},{"info":"compute binary expreesion, left_input=1401, right_input=2020, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2678","layer":3},{"info":"compute binary expreesion, left_input=3542, right_input=2678, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6960","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6960, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010111101101⊭↱≮⫘↔100101011000⫡⨏≮⫘↔10110111000⨳⩥⨓≮⫘↔11010110100)⪘⫢((⇁⨣⪵≮⫘↔11110011010)⇼⇔∾(⩦⩻⨪≮⫘↔111100000111)))⪮%⊝((≮⫘↔1001100011001⨟⋌⩍≮⫘↔100100010010⋷≮⫘↔11001010000-≮⫘↔10011000001)↙(≮⫘↔11010001101⨳⩥⨓≮⫘↔1010001100011)⪘⫢≮⫘↔10101111001⪘⫢≮⫘↔11111100100)=NaN","reverse_text":"NaN=((≮⫘↔1010111101101⊭↱≮⫘↔100101011000⫡⨏≮⫘↔10110111000⨳⩥⨓≮⫘↔11010110100)⪘⫢((⇁⨣⪵≮⫘↔11110011010)⇼⇔∾(⩦⩻⨪≮⫘↔111100000111)))⪮%⊝((≮⫘↔1001100011001⨟⋌⩍≮⫘↔100100010010⋷≮⫘↔11001010000-≮⫘↔10011000001)↙(≮⫘↔11010001101⨳⩥⨓≮⫘↔1010001100011)⪘⫢≮⫘↔10101111001⪘⫢≮⫘↔11111100100)","cot":[{"info":"≮⫘↔1010111101101⊭↱≮⫘↔100101011000=≮⫘↔-1100100100101","layer":3},{"info":"≮⫘↔10110111000⨳⩥⨓≮⫘↔11010110100=≮⫘↔11111100","layer":3},{"info":"≮⫘↔-1100100100101⫡⨏≮⫘↔11111100=≮⫘↔-111100010110010","layer":2},{"info":"⇁⨣⪵≮⫘↔11110011010=NaN","layer":3},{"info":"⩦⩻⨪≮⫘↔111100000111=≮⫘↔111100000111","layer":3},{"info":"NaN⇼⇔∾≮⫘↔111100000111=NaN","layer":2},{"info":"≮⫘↔-111100010110010⪘⫢NaN=NaN","layer":1},{"info":"≮⫘↔1001100011001⨟⋌⩍≮⫘↔100100010010=NaN","layer":3},{"info":"≮⫘↔11001010000-≮⫘↔10011000001=≮⫘↔110001111","layer":3},{"info":"NaN⋷≮⫘↔110001111=NaN","layer":2},{"info":"≮⫘↔11010001101⨳⩥⨓≮⫘↔1010001100011=≮⫘↔110111010110","layer":3},{"info":"≮⫘↔10101111001⪘⫢≮⫘↔11111100100=≮⫘↔101001110110","layer":3},{"info":"≮⫘↔110111010110⪘⫢≮⫘↔101001110110=≮⫘↔1101100110000","layer":2},{"info":"NaN↙≮⫘↔1101100110000=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":255,"expression_no_base_symbol":"(($8578$+⇶⊼$1244$↪⪝)/(∂$2955$)⨳⩥⨓($2102$⊘))↛⩡⫤","expression":"((≮⫘↔10000110000010+⇶⊼≮⫘↔10011011100↪⪝)/(∂≮⫘↔101110001011)⨳⩥⨓(≮⫘↔100000110110⊘))↛⩡⫤","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":93,"operation_count":7,"complexity_ratio":13.285714285714286,"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":8578,"base":2},"right_expr":{"type":"numeric_atoms","value":1244,"base":2}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2955,"base":2}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2102,"base":2}}}}},"used_operators":["FU0Cs4j7VP","XhwjNDsVaA","l07mrZUIn9","TpPTUOHfaN","nCS4ZIUYfx","Uaa54Peajs","gu96TGCTMs"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=8578","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=8578, right_input=1244, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":2},{"info":"number node, value=2955","layer":4},{"info":"compute unary expreesion, input=2955, 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=2102","layer":4},{"info":"compute unary expreesion, input=2102, 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=nan, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"((≮⫘↔10000110000010+⇶⊼≮⫘↔10011011100↪⪝)/(∂≮⫘↔101110001011)⨳⩥⨓(≮⫘↔100000110110⊘))↛⩡⫤=NaN","reverse_text":"NaN=((≮⫘↔10000110000010+⇶⊼≮⫘↔10011011100↪⪝)/(∂≮⫘↔101110001011)⨳⩥⨓(≮⫘↔100000110110⊘))↛⩡⫤","cot":[{"info":"≮⫘↔10000110000010+⇶⊼≮⫘↔10011011100=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"∂≮⫘↔101110001011=NaN","layer":3},{"info":"≮⫘↔100000110110⊘=≮⫘↔0","layer":3},{"info":"NaN⨳⩥⨓≮⫘↔0=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":256,"expression_no_base_symbol":"⊥(($2388$⇼⇔∾$6273$)≭$1199$⨟⋌⩍$4850$)≹⇙⪍(↯⪼(≤/$4481$))","expression":"⊥((≮⫘↔100101010100⇼⇔∾≮⫘↔1100010000001)≭≮⫘↔10010101111⨟⋌⩍≮⫘↔1001011110010)≹⇙⪍(↯⪼(≤/≮⫘↔1000110000001))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":20,"operation_count":7,"complexity_ratio":2.857142857142857,"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":2388,"base":2},"right_expr":{"type":"numeric_atoms","value":6273,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1199,"base":2},"right_expr":{"type":"numeric_atoms","value":4850,"base":2}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4481,"base":2}}}}},"used_operators":["Q3PJZHRvZv","AHs5Up7iyr","rxpJgHHUmx","tifHPKVTfV","rGHVDoGpnC","8jW3W4yZS5","eLAdDNolq6"],"dependent_operators":["fu6greOZ01","dWAJyo7jo9","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=2388","layer":4},{"info":"number node, value=6273","layer":4},{"info":"compute binary expreesion, left_input=2388, right_input=6273, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3885","layer":3},{"info":"number node, value=1199","layer":4},{"info":"number node, value=4850","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=4850, 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=3885, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4481","layer":4},{"info":"compute unary expreesion, input=4481, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3997","layer":3},{"info":"compute unary expreesion, input=-3997, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=7077","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7077, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⊥((≮⫘↔100101010100⇼⇔∾≮⫘↔1100010000001)≭≮⫘↔10010101111⨟⋌⩍≮⫘↔1001011110010)≹⇙⪍(↯⪼(≤/≮⫘↔1000110000001))=NaN","reverse_text":"NaN=⊥((≮⫘↔100101010100⇼⇔∾≮⫘↔1100010000001)≭≮⫘↔10010101111⨟⋌⩍≮⫘↔1001011110010)≹⇙⪍(↯⪼(≤/≮⫘↔1000110000001))","cot":[{"info":"≮⫘↔100101010100⇼⇔∾≮⫘↔1100010000001=≮⫘↔111100101101","layer":3},{"info":"≮⫘↔10010101111⨟⋌⩍≮⫘↔1001011110010=NaN","layer":3},{"info":"≮⫘↔111100101101≭NaN=NaN","layer":2},{"info":"≤/≮⫘↔1000110000001=≮⫘↔-111110011101","layer":3},{"info":"↯⪼≮⫘↔-111110011101=≮⫘↔1101110100101","layer":2},{"info":"NaN≹⇙⪍≮⫘↔1101110100101=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":257,"expression_no_base_symbol":"⩦⩻⨪($1504$⨪↰⇹$5217$)⪢$3757$⊴$5630$⨰($2865$⪛$6724$∲⫓$3688$⋝⋈⪟$2251$)","expression":"⩦⩻⨪(≮⫘↔10111100000⨪↰⇹≮⫘↔1010001100001)⪢≮⫘↔111010101101⊴≮⫘↔1010111111110⨰(≮⫘↔101100110001⪛≮⫘↔1101001000100∲⫓≮⫘↔111001101000⋝⋈⪟≮⫘↔100011001011)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7159,"operation_count":8,"complexity_ratio":894.875,"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":1504,"base":2},"right_expr":{"type":"numeric_atoms","value":5217,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3757,"base":2},"right_expr":{"type":"numeric_atoms","value":5630,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2865,"base":2},"right_expr":{"type":"numeric_atoms","value":6724,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3688,"base":2},"right_expr":{"type":"numeric_atoms","value":2251,"base":2}}}}},"used_operators":["2td37pGCOC","eewbuw0ToL","dWAJyo7jo9","tmPS8pqC7x","Nsiff2A1zJ","i8ToyICDmI","uFcxV4UQCh","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rJVOvQCfKK","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1504","layer":4},{"info":"number node, value=5217","layer":4},{"info":"compute binary expreesion, left_input=1504, right_input=5217, 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=1504","layer":3},{"info":"number node, value=3757","layer":4},{"info":"number node, value=5630","layer":4},{"info":"compute binary expreesion, left_input=3757, right_input=5630, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1504, 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=2865","layer":4},{"info":"number node, value=6724","layer":4},{"info":"compute binary expreesion, left_input=2865, right_input=6724, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2865","layer":3},{"info":"number node, value=3688","layer":4},{"info":"number node, value=2251","layer":4},{"info":"compute binary expreesion, left_input=3688, right_input=2251, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3688","layer":3},{"info":"compute binary expreesion, left_input=2865, right_input=3688, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⩦⩻⨪(≮⫘↔10111100000⨪↰⇹≮⫘↔1010001100001)⪢≮⫘↔111010101101⊴≮⫘↔1010111111110⨰(≮⫘↔101100110001⪛≮⫘↔1101001000100∲⫓≮⫘↔111001101000⋝⋈⪟≮⫘↔100011001011)=NaN","reverse_text":"NaN=⩦⩻⨪(≮⫘↔10111100000⨪↰⇹≮⫘↔1010001100001)⪢≮⫘↔111010101101⊴≮⫘↔1010111111110⨰(≮⫘↔101100110001⪛≮⫘↔1101001000100∲⫓≮⫘↔111001101000⋝⋈⪟≮⫘↔100011001011)","cot":[{"info":"≮⫘↔10111100000⨪↰⇹≮⫘↔1010001100001=≮⫘↔10111100000","layer":3},{"info":"≮⫘↔111010101101⊴≮⫘↔1010111111110=NaN","layer":3},{"info":"≮⫘↔10111100000⪢NaN=NaN","layer":2},{"info":"≮⫘↔101100110001⪛≮⫘↔1101001000100=≮⫘↔101100110001","layer":3},{"info":"≮⫘↔111001101000⋝⋈⪟≮⫘↔100011001011=≮⫘↔111001101000","layer":3},{"info":"≮⫘↔101100110001∲⫓≮⫘↔111001101000=≮⫘↔0","layer":2},{"info":"NaN⨰≮⫘↔0=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":258,"expression_no_base_symbol":"(⊄⩳↩($5098$-$1679$))⨳⩥⨓(($1858$⪨≂$4131$)⊦⊿)↪⪝","expression":"(⊄⩳↩(≮⫘↔1001111101010-≮⫘↔11010001111))⨳⩥⨓((≮⫘↔11101000010⪨≂≮⫘↔1000000100011)⊦⊿)↪⪝","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":718,"operation_count":6,"complexity_ratio":119.66666666666667,"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":5098,"base":2},"right_expr":{"type":"numeric_atoms","value":1679,"base":2}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1858,"base":2},"right_expr":{"type":"numeric_atoms","value":4131,"base":2}}}}},"used_operators":["l07mrZUIn9","nCS4ZIUYfx","8w2t5hMYqp","rysDP5nf3Z","14qkJME0vr","sdazOOVcIp"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔1010101101111000001001001010100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5098","layer":4},{"info":"number node, value=1679","layer":4},{"info":"compute binary expreesion, left_input=5098, right_input=1679, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3419","layer":3},{"info":"compute unary expreesion, input=3419, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-10257","layer":2},{"info":"number node, value=1858","layer":4},{"info":"number node, value=4131","layer":4},{"info":"compute binary expreesion, left_input=1858, right_input=4131, 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=-4444","layer":3},{"info":"compute unary expreesion, input=-4444, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=13253","layer":2},{"info":"compute binary expreesion, left_input=-10257, right_input=13253, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=23510","layer":1},{"info":"compute unary expreesion, input=23510, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=1438388820","layer":0}],"base":2,"result_base":2,"text":"(⊄⩳↩(≮⫘↔1001111101010-≮⫘↔11010001111))⨳⩥⨓((≮⫘↔11101000010⪨≂≮⫘↔1000000100011)⊦⊿)↪⪝=≮⫘↔1010101101111000001001001010100","reverse_text":"≮⫘↔1010101101111000001001001010100=(⊄⩳↩(≮⫘↔1001111101010-≮⫘↔11010001111))⨳⩥⨓((≮⫘↔11101000010⪨≂≮⫘↔1000000100011)⊦⊿)↪⪝","cot":[{"info":"≮⫘↔1001111101010-≮⫘↔11010001111=≮⫘↔110101011011","layer":3},{"info":"⊄⩳↩≮⫘↔110101011011=≮⫘↔-10100000010001","layer":2},{"info":"≮⫘↔11101000010⪨≂≮⫘↔1000000100011=≮⫘↔-1000101011100","layer":3},{"info":"≮⫘↔-1000101011100⊦⊿=≮⫘↔11001111000101","layer":2},{"info":"≮⫘↔-10100000010001⨳⩥⨓≮⫘↔11001111000101=≮⫘↔101101111010110","layer":1},{"info":"≮⫘↔101101111010110↪⪝=≮⫘↔1010101101111000001001001010100","layer":0}]}
{"id":259,"expression_no_base_symbol":"((-$4718$∑⇟⊟$1267$)⊪)≭(↽≂(⪝⪂⫅$1177$⪛$4132$))","expression":"((-≮⫘↔1001001101110∑⇟⊟≮⫘↔10011110011)⊪)≭(↽≂(⪝⪂⫅≮⫘↔10010011001⪛≮⫘↔1000000100100))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":173,"operation_count":7,"complexity_ratio":24.714285714285715,"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":4718,"base":2},"right_expr":{"type":"numeric_atoms","value":1267,"base":2}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1177,"base":2},"right_expr":{"type":"numeric_atoms","value":4132,"base":2}}}}},"used_operators":["rxpJgHHUmx","zVYPLywUTj","t8gj7n24qd","U7g4x0WXJJ","u6S6b8DprG","XTarYq4gQB","uFcxV4UQCh"],"dependent_operators":["AHs5Up7iyr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4718","layer":4},{"info":"number node, value=1267","layer":4},{"info":"compute binary expreesion, left_input=4718, right_input=1267, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, 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=nan","layer":1},{"info":"number node, value=1177","layer":4},{"info":"number node, value=4132","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=4132, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1177","layer":3},{"info":"compute unary expreesion, input=1177, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-173019","layer":2},{"info":"compute unary expreesion, input=-173019, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=346038","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=346038, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((-≮⫘↔1001001101110∑⇟⊟≮⫘↔10011110011)⊪)≭(↽≂(⪝⪂⫅≮⫘↔10010011001⪛≮⫘↔1000000100100))=NaN","reverse_text":"NaN=((-≮⫘↔1001001101110∑⇟⊟≮⫘↔10011110011)⊪)≭(↽≂(⪝⪂⫅≮⫘↔10010011001⪛≮⫘↔1000000100100))","cot":[{"info":"≮⫘↔1001001101110∑⇟⊟≮⫘↔10011110011=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"≮⫘↔10010011001⪛≮⫘↔1000000100100=≮⫘↔10010011001","layer":3},{"info":"⪝⪂⫅≮⫘↔10010011001=≮⫘↔-101010001111011011","layer":2},{"info":"↽≂≮⫘↔-101010001111011011=≮⫘↔1010100011110110110","layer":1},{"info":"NaN≭≮⫘↔1010100011110110110=NaN","layer":0}]}
{"id":260,"expression_no_base_symbol":"(∥⊫($5225$⪛$2685$%($1377$↛⩡⫤)))*((↣≠⋷$4604$)⨸⪁$1396$∑⇟⊟$1134$+($5577$⨎$7516$)≧⫂∧$4167$↬$2700$)","expression":"(∥⊫(≮⫘↔1010001101001⪛≮⫘↔101001111101%(≮⫘↔10101100001↛⩡⫤)))*((↣≠⋷≮⫘↔1000111111100)⨸⪁≮⫘↔10101110100∑⇟⊟≮⫘↔10001101110+(≮⫘↔1010111001001⨎≮⫘↔1110101011100)≧⫂∧≮⫘↔1000001000111↬≮⫘↔101010001100)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4285,"operation_count":12,"complexity_ratio":357.0833333333333,"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":5225,"base":2},"right_expr":{"type":"numeric_atoms","value":2685,"base":2}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1377,"base":2}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4604,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1396,"base":2},"right_expr":{"type":"numeric_atoms","value":1134,"base":2}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5577,"base":2},"right_expr":{"type":"numeric_atoms","value":7516,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4167,"base":2},"right_expr":{"type":"numeric_atoms","value":2700,"base":2}}}}},"used_operators":["9HNa5Wba9A","P8v4zCKN1o","k8jYdgA6NY","uFcxV4UQCh","FU0Cs4j7VP","W4YGzv6Whe","g55IO6H4Gj","Asc51vEJeQ","U7g4x0WXJJ","Ph9nP6C5qx","rJVOvQCfKK","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5225","layer":4},{"info":"number node, value=2685","layer":4},{"info":"compute binary expreesion, left_input=5225, right_input=2685, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2540","layer":3},{"info":"number node, value=1377","layer":4},{"info":"compute unary expreesion, input=1377, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-204016","layer":3},{"info":"compute binary expreesion, left_input=2540, right_input=-204016, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-201476","layer":2},{"info":"compute unary expreesion, input=-201476, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":1},{"info":"number node, value=4604","layer":4},{"info":"compute unary expreesion, input=4604, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1396","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=1396, right_input=1134, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=5577","layer":4},{"info":"number node, value=7516","layer":4},{"info":"compute binary expreesion, left_input=5577, right_input=7516, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7516","layer":3},{"info":"number node, value=4167","layer":4},{"info":"number node, value=2700","layer":4},{"info":"compute binary expreesion, left_input=4167, right_input=2700, 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=7516, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(∥⊫(≮⫘↔1010001101001⪛≮⫘↔101001111101%(≮⫘↔10101100001↛⩡⫤)))*((↣≠⋷≮⫘↔1000111111100)⨸⪁≮⫘↔10101110100∑⇟⊟≮⫘↔10001101110+(≮⫘↔1010111001001⨎≮⫘↔1110101011100)≧⫂∧≮⫘↔1000001000111↬≮⫘↔101010001100)=NaN","reverse_text":"NaN=(∥⊫(≮⫘↔1010001101001⪛≮⫘↔101001111101%(≮⫘↔10101100001↛⩡⫤)))*((↣≠⋷≮⫘↔1000111111100)⨸⪁≮⫘↔10101110100∑⇟⊟≮⫘↔10001101110+(≮⫘↔1010111001001⨎≮⫘↔1110101011100)≧⫂∧≮⫘↔1000001000111↬≮⫘↔101010001100)","cot":[{"info":"≮⫘↔1010001101001⪛≮⫘↔101001111101=≮⫘↔100111101100","layer":3},{"info":"≮⫘↔10101100001↛⩡⫤=≮⫘↔-110001110011110000","layer":3},{"info":"≮⫘↔100111101100%≮⫘↔-110001110011110000=≮⫘↔-110001001100000100","layer":2},{"info":"∥⊫≮⫘↔-110001001100000100=≮⫘↔-110111","layer":1},{"info":"↣≠⋷≮⫘↔1000111111100=NaN","layer":3},{"info":"≮⫘↔10101110100∑⇟⊟≮⫘↔10001101110=NaN","layer":3},{"info":"NaN⨸⪁NaN=NaN","layer":2},{"info":"≮⫘↔1010111001001⨎≮⫘↔1110101011100=≮⫘↔1110101011100","layer":3},{"info":"≮⫘↔1000001000111↬≮⫘↔101010001100=NaN","layer":3},{"info":"≮⫘↔1110101011100≧⫂∧NaN=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"≮⫘↔-110111*NaN=NaN","layer":0}]}
{"id":261,"expression_no_base_symbol":"(($2914$⊪)⨵⪆($3275$⪨≂$4099$))⊭↱(⫓⪴($7053$⋝⋈⪟$1673$))%((≤/$3981$)⫥∨⫟$5679$≧⫂∧$2562$)≭($1734$≭$4606$⨁⊸⫻)","expression":"((≮⫘↔101101100010⊪)⨵⪆(≮⫘↔110011001011⪨≂≮⫘↔1000000000011))⊭↱(⫓⪴(≮⫘↔1101110001101⋝⋈⪟≮⫘↔11010001001))%((≤/≮⫘↔111110001101)⫥∨⫟≮⫘↔1011000101111≧⫂∧≮⫘↔101000000010)≭(≮⫘↔11011000110≭≮⫘↔1000111111110⨁⊸⫻)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7261,"operation_count":13,"complexity_ratio":558.5384615384615,"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":2914,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3275,"base":2},"right_expr":{"type":"numeric_atoms","value":4099,"base":2}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7053,"base":2},"right_expr":{"type":"numeric_atoms","value":1673,"base":2}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3981,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5679,"base":2},"right_expr":{"type":"numeric_atoms","value":2562,"base":2}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1734,"base":2},"right_expr":{"type":"numeric_atoms","value":4606,"base":2}}}}},"used_operators":["k8jYdgA6NY","COABgblf1C","2DQ55sFlQl","zVYPLywUTj","sdazOOVcIp","eLxqMNBOBk","2DDjHMKMc0","rxpJgHHUmx","KYD54nUTWz","eLAdDNolq6","Ph9nP6C5qx","glklzrTFfD"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2914","layer":4},{"info":"compute unary expreesion, input=2914, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=3275","layer":4},{"info":"number node, value=4099","layer":4},{"info":"compute binary expreesion, left_input=3275, right_input=4099, 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=-1546","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1546, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=7053","layer":4},{"info":"number node, value=1673","layer":4},{"info":"compute binary expreesion, left_input=7053, right_input=1673, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7053","layer":3},{"info":"compute unary expreesion, input=7053, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=49744809","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=49744809, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=99489303","layer":1},{"info":"number node, value=3981","layer":4},{"info":"compute unary expreesion, input=3981, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3497","layer":3},{"info":"number node, value=5679","layer":4},{"info":"number node, value=2562","layer":4},{"info":"compute binary expreesion, left_input=5679, right_input=2562, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2089","layer":3},{"info":"compute binary expreesion, left_input=-3497, right_input=2089, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1734","layer":4},{"info":"number node, value=4606","layer":4},{"info":"compute binary expreesion, left_input=1734, right_input=4606, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, 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":"compute binary expreesion, left_input=99489303, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101101100010⊪)⨵⪆(≮⫘↔110011001011⪨≂≮⫘↔1000000000011))⊭↱(⫓⪴(≮⫘↔1101110001101⋝⋈⪟≮⫘↔11010001001))%((≤/≮⫘↔111110001101)⫥∨⫟≮⫘↔1011000101111≧⫂∧≮⫘↔101000000010)≭(≮⫘↔11011000110≭≮⫘↔1000111111110⨁⊸⫻)=NaN","reverse_text":"NaN=((≮⫘↔101101100010⊪)⨵⪆(≮⫘↔110011001011⪨≂≮⫘↔1000000000011))⊭↱(⫓⪴(≮⫘↔1101110001101⋝⋈⪟≮⫘↔11010001001))%((≤/≮⫘↔111110001101)⫥∨⫟≮⫘↔1011000101111≧⫂∧≮⫘↔101000000010)≭(≮⫘↔11011000110≭≮⫘↔1000111111110⨁⊸⫻)","cot":[{"info":"≮⫘↔101101100010⊪=≮⫘↔0","layer":3},{"info":"≮⫘↔110011001011⪨≂≮⫘↔1000000000011=≮⫘↔-11000001010","layer":3},{"info":"≮⫘↔0⨵⪆≮⫘↔-11000001010=≮⫘↔10100000","layer":2},{"info":"≮⫘↔1101110001101⋝⋈⪟≮⫘↔11010001001=≮⫘↔1101110001101","layer":3},{"info":"⫓⪴≮⫘↔1101110001101=≮⫘↔10111101110000101110101001","layer":2},{"info":"≮⫘↔10100000⊭↱≮⫘↔10111101110000101110101001=≮⫘↔101111011100001011000010111","layer":1},{"info":"≤/≮⫘↔111110001101=≮⫘↔-110110101001","layer":3},{"info":"≮⫘↔1011000101111≧⫂∧≮⫘↔101000000010=≮⫘↔100000101001","layer":3},{"info":"≮⫘↔-110110101001⫥∨⫟≮⫘↔100000101001=NaN","layer":2},{"info":"≮⫘↔11011000110≭≮⫘↔1000111111110=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"≮⫘↔101111011100001011000010111%NaN=NaN","layer":0}]}
{"id":262,"expression_no_base_symbol":"((⨑⩽⪐$6298$)⪘⫢($5373$⪄$7951$)⪐)⇼⇔∾((∂$1685$)+$1765$∑⇟⊟$1311$)⨽(⊄⩳↩$1710$)⩚⊴⇥(↩$3105$)","expression":"((⨑⩽⪐≮⫘↔1100010011010)⪘⫢(≮⫘↔1010011111101⪄≮⫘↔1111100001111)⪐)⇼⇔∾((∂≮⫘↔11010010101)+≮⫘↔11011100101∑⇟⊟≮⫘↔10100011111)⨽(⊄⩳↩≮⫘↔11010101110)⩚⊴⇥(↩≮⫘↔110000100001)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":147,"operation_count":12,"complexity_ratio":12.25,"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":6298,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5373,"base":2},"right_expr":{"type":"numeric_atoms","value":7951,"base":2}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1685,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1765,"base":2},"right_expr":{"type":"numeric_atoms","value":1311,"base":2}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1710,"base":2}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3105,"base":2}}}}},"used_operators":["tifHPKVTfV","eH2TOUuTDT","oacrs7FA3X","AF7qkfDlqP","SUmda5xLS4","8HhzD0ZcuI","W4YGzv6Whe","Uaa54Peajs","U7g4x0WXJJ","NTOWxs364D","8w2t5hMYqp","jLgFTUHLKL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6298","layer":4},{"info":"compute unary expreesion, input=6298, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6025","layer":3},{"info":"number node, value=5373","layer":4},{"info":"number node, value=7951","layer":4},{"info":"compute binary expreesion, left_input=5373, right_input=7951, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-823097","layer":3},{"info":"compute binary expreesion, left_input=-6025, right_input=-823097, 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 unary expreesion, input=-1, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-2","layer":1},{"info":"number node, value=1685","layer":4},{"info":"compute unary expreesion, input=1685, 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=1765","layer":4},{"info":"number node, value=1311","layer":4},{"info":"compute binary expreesion, left_input=1765, right_input=1311, 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":"number node, value=1710","layer":4},{"info":"compute unary expreesion, input=1710, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5130","layer":3},{"info":"number node, value=3105","layer":4},{"info":"compute unary expreesion, input=3105, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-22060","layer":3},{"info":"compute binary expreesion, left_input=-5130, right_input=-22060, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=27069","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=27069, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨑⩽⪐≮⫘↔1100010011010)⪘⫢(≮⫘↔1010011111101⪄≮⫘↔1111100001111)⪐)⇼⇔∾((∂≮⫘↔11010010101)+≮⫘↔11011100101∑⇟⊟≮⫘↔10100011111)⨽(⊄⩳↩≮⫘↔11010101110)⩚⊴⇥(↩≮⫘↔110000100001)=NaN","reverse_text":"NaN=((⨑⩽⪐≮⫘↔1100010011010)⪘⫢(≮⫘↔1010011111101⪄≮⫘↔1111100001111)⪐)⇼⇔∾((∂≮⫘↔11010010101)+≮⫘↔11011100101∑⇟⊟≮⫘↔10100011111)⨽(⊄⩳↩≮⫘↔11010101110)⩚⊴⇥(↩≮⫘↔110000100001)","cot":[{"info":"⨑⩽⪐≮⫘↔1100010011010=≮⫘↔-1011110001001","layer":3},{"info":"≮⫘↔1010011111101⪄≮⫘↔1111100001111=≮⫘↔-11001000111100111001","layer":3},{"info":"≮⫘↔-1011110001001⪘⫢≮⫘↔-11001000111100111001=≮⫘↔-1","layer":2},{"info":"≮⫘↔-1⪐=≮⫘↔-10","layer":1},{"info":"∂≮⫘↔11010010101=NaN","layer":3},{"info":"≮⫘↔11011100101∑⇟⊟≮⫘↔10100011111=NaN","layer":3},{"info":"NaN+NaN=NaN","layer":2},{"info":"⊄⩳↩≮⫘↔11010101110=≮⫘↔-1010000001010","layer":3},{"info":"↩≮⫘↔110000100001=≮⫘↔-101011000101100","layer":3},{"info":"≮⫘↔-1010000001010⩚⊴⇥≮⫘↔-101011000101100=≮⫘↔110100110111101","layer":2},{"info":"NaN⨽≮⫘↔110100110111101=NaN","layer":1},{"info":"≮⫘↔-10⇼⇔∾NaN=NaN","layer":0}]}
{"id":263,"expression_no_base_symbol":"(+⊝⨔($5772$≎⊠⪸$2947$))⨟⋌⩍(($2408$+⇶⊼$1747$)⨓(-$4468$))/(⨑⩽⪐$1044$≹⇙⪍$1455$)⊴($1278$⨟⋌⩍$6611$⇼⇔∾(⨰⫟⨤$1908$))","expression":"(+⊝⨔(≮⫘↔1011010001100≎⊠⪸≮⫘↔101110000011))⨟⋌⩍((≮⫘↔100101101000+⇶⊼≮⫘↔11011010011)⨓(-≮⫘↔1000101110100))/(⨑⩽⪐≮⫘↔10000010100≹⇙⪍≮⫘↔10110101111)⊴(≮⫘↔10011111110⨟⋌⩍≮⫘↔1100111010011⇼⇔∾(⨰⫟⨤≮⫘↔11101110100))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11598,"operation_count":13,"complexity_ratio":892.1538461538462,"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":5772,"base":2},"right_expr":{"type":"numeric_atoms","value":2947,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2408,"base":2},"right_expr":{"type":"numeric_atoms","value":1747,"base":2}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4468,"base":2}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1044,"base":2},"right_expr":{"type":"numeric_atoms","value":1455,"base":2}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1278,"base":2},"right_expr":{"type":"numeric_atoms","value":6611,"base":2}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1908,"base":2}}}}},"used_operators":["XhwjNDsVaA","rGHVDoGpnC","DhbWaqg5eL","bJkvcejdHO","3ViojmjbAp","TpPTUOHfaN","t8gj7n24qd","Nsiff2A1zJ","AF7qkfDlqP","AHs5Up7iyr","tifHPKVTfV","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","Tcnh7f0tEr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5772","layer":4},{"info":"number node, value=2947","layer":4},{"info":"compute binary expreesion, left_input=5772, right_input=2947, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1494475","layer":3},{"info":"compute unary expreesion, input=1494475, 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=2408","layer":4},{"info":"number node, value=1747","layer":4},{"info":"compute binary expreesion, left_input=2408, right_input=1747, 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=4468","layer":4},{"info":"compute unary expreesion, input=4468, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4468","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4468, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=4465","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=4465, 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=1044","layer":4},{"info":"number node, value=1455","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=1455, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 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":"number node, value=1278","layer":4},{"info":"number node, value=6611","layer":4},{"info":"compute binary expreesion, left_input=1278, right_input=6611, 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=1908","layer":4},{"info":"compute unary expreesion, input=1908, 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=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(+⊝⨔(≮⫘↔1011010001100≎⊠⪸≮⫘↔101110000011))⨟⋌⩍((≮⫘↔100101101000+⇶⊼≮⫘↔11011010011)⨓(-≮⫘↔1000101110100))/(⨑⩽⪐≮⫘↔10000010100≹⇙⪍≮⫘↔10110101111)⊴(≮⫘↔10011111110⨟⋌⩍≮⫘↔1100111010011⇼⇔∾(⨰⫟⨤≮⫘↔11101110100))=NaN","reverse_text":"NaN=(+⊝⨔(≮⫘↔1011010001100≎⊠⪸≮⫘↔101110000011))⨟⋌⩍((≮⫘↔100101101000+⇶⊼≮⫘↔11011010011)⨓(-≮⫘↔1000101110100))/(⨑⩽⪐≮⫘↔10000010100≹⇙⪍≮⫘↔10110101111)⊴(≮⫘↔10011111110⨟⋌⩍≮⫘↔1100111010011⇼⇔∾(⨰⫟⨤≮⫘↔11101110100))","cot":[{"info":"≮⫘↔1011010001100≎⊠⪸≮⫘↔101110000011=≮⫘↔101101100110111001011","layer":3},{"info":"+⊝⨔≮⫘↔101101100110111001011=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔100101101000+⇶⊼≮⫘↔11011010011=NaN","layer":3},{"info":"-≮⫘↔1000101110100=≮⫘↔-1000101110100","layer":3},{"info":"NaN⨓≮⫘↔-1000101110100=≮⫘↔1000101110001","layer":2},{"info":"≮⫘↔10111110010⨟⋌⩍≮⫘↔1000101110001=NaN","layer":1},{"info":"≮⫘↔10000010100≹⇙⪍≮⫘↔10110101111=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"≮⫘↔10011111110⨟⋌⩍≮⫘↔1100111010011=NaN","layer":3},{"info":"⨰⫟⨤≮⫘↔11101110100=NaN","layer":3},{"info":"NaN⇼⇔∾NaN=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":264,"expression_no_base_symbol":"((⫛⫱⨽$3337$)≭$8735$⨰$6710$≎⊠⪸(($1234$⊭↱$1404$)+⇶⊼(≤/$1110$)))∸","expression":"((⫛⫱⨽≮⫘↔110100001001)≭≮⫘↔10001000011111⨰≮⫘↔1101000110110≎⊠⪸((≮⫘↔10011010010⊭↱≮⫘↔10101111100)+⇶⊼(≤/≮⫘↔10001010110)))∸","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1625,"operation_count":8,"complexity_ratio":203.125,"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":3337,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":8735,"base":2},"right_expr":{"type":"numeric_atoms","value":6710,"base":2}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1234,"base":2},"right_expr":{"type":"numeric_atoms","value":1404,"base":2}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1110,"base":2}}}}},"used_operators":["o20kRiQErp","bJkvcejdHO","rxpJgHHUmx","DlLNRPXxWL","eewbuw0ToL","TpPTUOHfaN","COABgblf1C","eLAdDNolq6"],"dependent_operators":["tmPS8pqC7x","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"≮⫘↔10110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3337","layer":4},{"info":"compute unary expreesion, input=3337, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=8735","layer":4},{"info":"number node, value=6710","layer":4},{"info":"compute binary expreesion, left_input=8735, right_input=6710, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2035","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2035, 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=1234","layer":4},{"info":"number node, value=1404","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=1404, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=345","layer":3},{"info":"number node, value=1110","layer":4},{"info":"compute unary expreesion, input=1110, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-626","layer":3},{"info":"compute binary expreesion, left_input=345, right_input=-626, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":2,"result_base":2,"text":"((⫛⫱⨽≮⫘↔110100001001)≭≮⫘↔10001000011111⨰≮⫘↔1101000110110≎⊠⪸((≮⫘↔10011010010⊭↱≮⫘↔10101111100)+⇶⊼(≤/≮⫘↔10001010110)))∸=≮⫘↔10110001","reverse_text":"≮⫘↔10110001=((⫛⫱⨽≮⫘↔110100001001)≭≮⫘↔10001000011111⨰≮⫘↔1101000110110≎⊠⪸((≮⫘↔10011010010⊭↱≮⫘↔10101111100)+⇶⊼(≤/≮⫘↔10001010110)))∸","cot":[{"info":"⫛⫱⨽≮⫘↔110100001001=≮⫘↔0","layer":3},{"info":"≮⫘↔10001000011111⨰≮⫘↔1101000110110=≮⫘↔11111110011","layer":3},{"info":"≮⫘↔0≭≮⫘↔11111110011=NaN","layer":2},{"info":"≮⫘↔10011010010⊭↱≮⫘↔10101111100=≮⫘↔101011001","layer":3},{"info":"≤/≮⫘↔10001010110=≮⫘↔-1001110010","layer":3},{"info":"≮⫘↔101011001+⇶⊼≮⫘↔-1001110010=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=≮⫘↔1000011","layer":1},{"info":"≮⫘↔1000011∸=≮⫘↔10110001","layer":0}]}
{"id":265,"expression_no_base_symbol":"($5476$≹⇙⪍$4565$-$5836$↺$1171$⪨≂(≦∁$1258$)+⇶⊼($2458$⨸⪁$6312$))⫥∨⫟((⊄⩳↩(⨰⫟⨤$1053$))⨸⪁($2192$≹⇙⪍$3208$⩤))","expression":"(≮⫘↔1010101100100≹⇙⪍≮⫘↔1000111010101-≮⫘↔1011011001100↺≮⫘↔10010010011⪨≂(≦∁≮⫘↔10011101010)+⇶⊼(≮⫘↔100110011010⨸⪁≮⫘↔1100010101000))⫥∨⫟((⊄⩳↩(⨰⫟⨤≮⫘↔10000011101))⨸⪁(≮⫘↔100010010000≹⇙⪍≮⫘↔110010001000⩤))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3548,"operation_count":13,"complexity_ratio":272.9230769230769,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5476,"base":2},"right_expr":{"type":"numeric_atoms","value":4565,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5836,"base":2},"right_expr":{"type":"numeric_atoms","value":1171,"base":2}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1258,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2458,"base":2},"right_expr":{"type":"numeric_atoms","value":6312,"base":2}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1053,"base":2}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2192,"base":2},"right_expr":{"type":"numeric_atoms","value":3208,"base":2}}}}},"used_operators":["KYD54nUTWz","sdazOOVcIp","rysDP5nf3Z","AHs5Up7iyr","7j4O788W3g","TpPTUOHfaN","9ICcGScMcE","g55IO6H4Gj","8w2t5hMYqp","Tw270M8GLb","Z2TMIBDE3Q"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5476","layer":4},{"info":"number node, value=4565","layer":4},{"info":"compute binary expreesion, left_input=5476, right_input=4565, 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=5836","layer":4},{"info":"number node, value=1171","layer":4},{"info":"compute binary expreesion, left_input=5836, right_input=1171, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1171","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1171, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1258","layer":4},{"info":"compute unary expreesion, input=1258, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1258","layer":3},{"info":"number node, value=2458","layer":4},{"info":"number node, value=6312","layer":4},{"info":"compute binary expreesion, left_input=2458, right_input=6312, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17540","layer":3},{"info":"compute binary expreesion, left_input=1258, right_input=17540, 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 = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"number node, value=1053","layer":4},{"info":"compute unary expreesion, input=1053, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', 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":"number node, value=2192","layer":4},{"info":"number node, value=3208","layer":4},{"info":"compute binary expreesion, left_input=2192, right_input=3208, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1010101100100≹⇙⪍≮⫘↔1000111010101-≮⫘↔1011011001100↺≮⫘↔10010010011⪨≂(≦∁≮⫘↔10011101010)+⇶⊼(≮⫘↔100110011010⨸⪁≮⫘↔1100010101000))⫥∨⫟((⊄⩳↩(⨰⫟⨤≮⫘↔10000011101))⨸⪁(≮⫘↔100010010000≹⇙⪍≮⫘↔110010001000⩤))=NaN","reverse_text":"NaN=(≮⫘↔1010101100100≹⇙⪍≮⫘↔1000111010101-≮⫘↔1011011001100↺≮⫘↔10010010011⪨≂(≦∁≮⫘↔10011101010)+⇶⊼(≮⫘↔100110011010⨸⪁≮⫘↔1100010101000))⫥∨⫟((⊄⩳↩(⨰⫟⨤≮⫘↔10000011101))⨸⪁(≮⫘↔100010010000≹⇙⪍≮⫘↔110010001000⩤))","cot":[{"info":"≮⫘↔1010101100100≹⇙⪍≮⫘↔1000111010101=NaN","layer":3},{"info":"≮⫘↔1011011001100↺≮⫘↔10010010011=≮⫘↔10010010011","layer":3},{"info":"NaN-≮⫘↔10010010011=NaN","layer":2},{"info":"≦∁≮⫘↔10011101010=≮⫘↔10011101010","layer":3},{"info":"≮⫘↔100110011010⨸⪁≮⫘↔1100010101000=≮⫘↔100010010000100","layer":3},{"info":"≮⫘↔10011101010+⇶⊼≮⫘↔100010010000100=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"⨰⫟⨤≮⫘↔10000011101=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"≮⫘↔100010010000≹⇙⪍≮⫘↔110010001000=NaN","layer":3},{"info":"NaN⩤=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":266,"expression_no_base_symbol":"((⪲⇎$1028$)↺($2895$⨳⩥⨓$2044$))+⇶⊼((⨞⊢$1190$)⨽($6781$⪒$4538$))⨎(≉$4430$)⨪↰⇹$3168$⊴$1841$≭(⪲⇎($1206$∲⫓$1736$))","expression":"((⪲⇎≮⫘↔10000000100)↺(≮⫘↔101101001111⨳⩥⨓≮⫘↔11111111100))+⇶⊼((⨞⊢≮⫘↔10010100110)⨽(≮⫘↔1101001111101⪒≮⫘↔1000110111010))⨎(≉≮⫘↔1000101001110)⨪↰⇹≮⫘↔110001100000⊴≮⫘↔11100110001≭(⪲⇎(≮⫘↔10010110110∲⫓≮⫘↔11011001000))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8360,"operation_count":14,"complexity_ratio":597.1428571428571,"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":1028,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2895,"base":2},"right_expr":{"type":"numeric_atoms","value":2044,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1190,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6781,"base":2},"right_expr":{"type":"numeric_atoms","value":4538,"base":2}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4430,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3168,"base":2},"right_expr":{"type":"numeric_atoms","value":1841,"base":2}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1206,"base":2},"right_expr":{"type":"numeric_atoms","value":1736,"base":2}}}}},"used_operators":["rJVOvQCfKK","TpPTUOHfaN","7j4O788W3g","XPYlsWDdGa","nCS4ZIUYfx","8HhzD0ZcuI","xUOZtlo3hN","f6k1SAg4EE","rxpJgHHUmx","tmPS8pqC7x","e1ybzncUwg","Nsiff2A1zJ","i8ToyICDmI"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-10110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1028","layer":4},{"info":"compute unary expreesion, input=1028, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2056","layer":3},{"info":"number node, value=2895","layer":4},{"info":"number node, value=2044","layer":4},{"info":"compute binary expreesion, left_input=2895, right_input=2044, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-851","layer":3},{"info":"compute binary expreesion, left_input=2056, right_input=-851, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-851","layer":2},{"info":"number node, value=1190","layer":4},{"info":"compute unary expreesion, input=1190, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1364","layer":3},{"info":"number node, value=6781","layer":4},{"info":"number node, value=4538","layer":4},{"info":"compute binary expreesion, left_input=6781, right_input=4538, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11319","layer":3},{"info":"compute binary expreesion, left_input=-1364, right_input=-11319, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5546217","layer":2},{"info":"compute binary expreesion, left_input=-851, right_input=-5546217, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=4430","layer":4},{"info":"compute unary expreesion, input=4430, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4961","layer":3},{"info":"number node, value=3168","layer":4},{"info":"number node, value=1841","layer":4},{"info":"compute binary expreesion, left_input=3168, right_input=1841, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4961, 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=4961","layer":2},{"info":"number node, value=1206","layer":4},{"info":"number node, value=1736","layer":4},{"info":"compute binary expreesion, left_input=1206, right_input=1736, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=4961, right_input=0, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=-22","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-22","layer":0}],"base":2,"result_base":2,"text":"((⪲⇎≮⫘↔10000000100)↺(≮⫘↔101101001111⨳⩥⨓≮⫘↔11111111100))+⇶⊼((⨞⊢≮⫘↔10010100110)⨽(≮⫘↔1101001111101⪒≮⫘↔1000110111010))⨎(≉≮⫘↔1000101001110)⨪↰⇹≮⫘↔110001100000⊴≮⫘↔11100110001≭(⪲⇎(≮⫘↔10010110110∲⫓≮⫘↔11011001000))=≮⫘↔-10110","reverse_text":"≮⫘↔-10110=((⪲⇎≮⫘↔10000000100)↺(≮⫘↔101101001111⨳⩥⨓≮⫘↔11111111100))+⇶⊼((⨞⊢≮⫘↔10010100110)⨽(≮⫘↔1101001111101⪒≮⫘↔1000110111010))⨎(≉≮⫘↔1000101001110)⨪↰⇹≮⫘↔110001100000⊴≮⫘↔11100110001≭(⪲⇎(≮⫘↔10010110110∲⫓≮⫘↔11011001000))","cot":[{"info":"⪲⇎≮⫘↔10000000100=≮⫘↔100000001000","layer":3},{"info":"≮⫘↔101101001111⨳⩥⨓≮⫘↔11111111100=≮⫘↔-1101010011","layer":3},{"info":"≮⫘↔100000001000↺≮⫘↔-1101010011=≮⫘↔-1101010011","layer":2},{"info":"⨞⊢≮⫘↔10010100110=≮⫘↔-10101010100","layer":3},{"info":"≮⫘↔1101001111101⪒≮⫘↔1000110111010=≮⫘↔-10110000110111","layer":3},{"info":"≮⫘↔-10101010100⨽≮⫘↔-10110000110111=≮⫘↔-10101001010000011101001","layer":2},{"info":"≮⫘↔-1101010011+⇶⊼≮⫘↔-10101001010000011101001=NaN","layer":1},{"info":"≉≮⫘↔1000101001110=≮⫘↔1001101100001","layer":3},{"info":"≮⫘↔110001100000⊴≮⫘↔11100110001=NaN","layer":3},{"info":"≮⫘↔1001101100001⨪↰⇹NaN=≮⫘↔1001101100001","layer":2},{"info":"≮⫘↔10010110110∲⫓≮⫘↔11011001000=≮⫘↔0","layer":3},{"info":"⪲⇎≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔1001101100001≭≮⫘↔0=≮⫘↔-10110","layer":1},{"info":"NaN⨎≮⫘↔-10110=≮⫘↔-10110","layer":0}]}
{"id":267,"expression_no_base_symbol":"($2082$⫩⊇)⋓(⊥$3684$)⩨(⪲⇎$3928$⪮%⊝$5084$)⨵⪆(($5756$⨟⋌⩍$1132$⪒$8877$⫸⊐$1036$)∸)","expression":"(≮⫘↔100000100010⫩⊇)⋓(⊥≮⫘↔111001100100)⩨(⪲⇎≮⫘↔111101011000⪮%⊝≮⫘↔1001111011100)⨵⪆((≮⫘↔1011001111100⨟⋌⩍≮⫘↔10001101100⪒≮⫘↔10001010101101⫸⊐≮⫘↔10000001100)∸)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":237,"operation_count":11,"complexity_ratio":21.545454545454547,"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":2082,"base":2}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3684,"base":2}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3928,"base":2},"right_expr":{"type":"numeric_atoms","value":5084,"base":2}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5756,"base":2},"right_expr":{"type":"numeric_atoms","value":1132,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":8877,"base":2},"right_expr":{"type":"numeric_atoms","value":1036,"base":2}}}}},"used_operators":["2DQ55sFlQl","2DlMacCsIx","T2fj7uvVaJ","BjRHVeLaeN","Q3PJZHRvZv","XPYlsWDdGa","IWmyXbctLI","o20kRiQErp","f6k1SAg4EE","rGHVDoGpnC","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2082","layer":4},{"info":"compute unary expreesion, input=2082, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2040","layer":3},{"info":"number node, value=3684","layer":4},{"info":"compute unary expreesion, input=3684, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2040, 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":"number node, value=3928","layer":4},{"info":"number node, value=5084","layer":4},{"info":"compute binary expreesion, left_input=3928, right_input=5084, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8172","layer":3},{"info":"compute unary expreesion, input=8172, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=16344","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=16344, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=5756","layer":4},{"info":"number node, value=1132","layer":4},{"info":"compute binary expreesion, left_input=5756, right_input=1132, 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=8877","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=8877, right_input=1036, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4019","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4019, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100000100010⫩⊇)⋓(⊥≮⫘↔111001100100)⩨(⪲⇎≮⫘↔111101011000⪮%⊝≮⫘↔1001111011100)⨵⪆((≮⫘↔1011001111100⨟⋌⩍≮⫘↔10001101100⪒≮⫘↔10001010101101⫸⊐≮⫘↔10000001100)∸)=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(≮⫘↔100000100010⫩⊇)⋓(⊥≮⫘↔111001100100)⩨(⪲⇎≮⫘↔111101011000⪮%⊝≮⫘↔1001111011100)⨵⪆((≮⫘↔1011001111100⨟⋌⩍≮⫘↔10001101100⪒≮⫘↔10001010101101⫸⊐≮⫘↔10000001100)∸)","cot":[{"info":"≮⫘↔100000100010⫩⊇=≮⫘↔-11111111000","layer":3},{"info":"⊥≮⫘↔111001100100=NaN","layer":3},{"info":"≮⫘↔-11111111000⋓NaN=NaN","layer":2},{"info":"≮⫘↔111101011000⪮%⊝≮⫘↔1001111011100=≮⫘↔1111111101100","layer":3},{"info":"⪲⇎≮⫘↔1111111101100=≮⫘↔11111111011000","layer":2},{"info":"NaN⩨≮⫘↔11111111011000=NaN","layer":1},{"info":"≮⫘↔1011001111100⨟⋌⩍≮⫘↔10001101100=NaN","layer":3},{"info":"≮⫘↔10001010101101⫸⊐≮⫘↔10000001100=≮⫘↔111110110011","layer":3},{"info":"NaN⪒≮⫘↔111110110011=NaN","layer":2},{"info":"NaN∸=≮⫘↔10110001","layer":1},{"info":"NaN⨵⪆≮⫘↔10110001=≮⫘↔10100000","layer":0}]}
{"id":268,"expression_no_base_symbol":"(($2670$↬$5754$⪨≂$1039$⨐⩸⫘$2667$)↺($2116$⪢$2634$/$1821$⨓$1374$))⊘","expression":"((≮⫘↔101001101110↬≮⫘↔1011001111010⪨≂≮⫘↔10000001111⨐⩸⫘≮⫘↔101001101011)↺(≮⫘↔100001000100⪢≮⫘↔101001001010/≮⫘↔11100011101⨓≮⫘↔10101011110))⊘","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4045,"operation_count":8,"complexity_ratio":505.625,"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":2670,"base":2},"right_expr":{"type":"numeric_atoms","value":5754,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1039,"base":2},"right_expr":{"type":"numeric_atoms","value":2667,"base":2}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2116,"base":2},"right_expr":{"type":"numeric_atoms","value":2634,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1821,"base":2},"right_expr":{"type":"numeric_atoms","value":1374,"base":2}}}}},"used_operators":["gu96TGCTMs","7j4O788W3g","sdazOOVcIp","B5M0gjZbta","fu6greOZ01","XhwjNDsVaA","dWAJyo7jo9","3ViojmjbAp"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","3ViojmjbAp","rysDP5nf3Z","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2670","layer":4},{"info":"number node, value=5754","layer":4},{"info":"compute binary expreesion, left_input=2670, right_input=5754, 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=1039","layer":4},{"info":"number node, value=2667","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=2667, 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 = 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=2116","layer":4},{"info":"number node, value=2634","layer":4},{"info":"compute binary expreesion, left_input=2116, right_input=2634, 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=1821","layer":4},{"info":"number node, value=1374","layer":4},{"info":"compute binary expreesion, left_input=1821, right_input=1374, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1377","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1377, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, 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 = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101001101110↬≮⫘↔1011001111010⪨≂≮⫘↔10000001111⨐⩸⫘≮⫘↔101001101011)↺(≮⫘↔100001000100⪢≮⫘↔101001001010/≮⫘↔11100011101⨓≮⫘↔10101011110))⊘=NaN","reverse_text":"NaN=((≮⫘↔101001101110↬≮⫘↔1011001111010⪨≂≮⫘↔10000001111⨐⩸⫘≮⫘↔101001101011)↺(≮⫘↔100001000100⪢≮⫘↔101001001010/≮⫘↔11100011101⨓≮⫘↔10101011110))⊘","cot":[{"info":"≮⫘↔101001101110↬≮⫘↔1011001111010=NaN","layer":3},{"info":"≮⫘↔10000001111⨐⩸⫘≮⫘↔101001101011=NaN","layer":3},{"info":"NaN⪨≂NaN=NaN","layer":2},{"info":"≮⫘↔100001000100⪢≮⫘↔101001001010=NaN","layer":3},{"info":"≮⫘↔11100011101⨓≮⫘↔10101011110=≮⫘↔-10101100001","layer":3},{"info":"NaN/≮⫘↔-10101100001=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
{"id":269,"expression_no_base_symbol":"(($1045$⊭↱$1417$)⨎($1027$⇋≉))∑⇟⊟(($2597$/$6606$)⪒$4631$⨓$4899$)+⇶⊼($3856$∀⇚≩$3453$)⪛$5982$⪢$2517$≧⫂∧(⨰⫟⨤$4388$)⪛($3242$⪒$1651$)","expression":"((≮⫘↔10000010101⊭↱≮⫘↔10110001001)⨎(≮⫘↔10000000011⇋≉))∑⇟⊟((≮⫘↔101000100101/≮⫘↔1100111001110)⪒≮⫘↔1001000010111⨓≮⫘↔1001100100011)+⇶⊼(≮⫘↔111100010000∀⇚≩≮⫘↔110101111101)⪛≮⫘↔1011101011110⪢≮⫘↔100111010101≧⫂∧(⨰⫟⨤≮⫘↔1000100100100)⪛(≮⫘↔110010101010⪒≮⫘↔11001110011)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":52793,"operation_count":15,"complexity_ratio":3519.5333333333333,"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":1045,"base":2},"right_expr":{"type":"numeric_atoms","value":1417,"base":2}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1027,"base":2}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2597,"base":2},"right_expr":{"type":"numeric_atoms","value":6606,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4631,"base":2},"right_expr":{"type":"numeric_atoms","value":4899,"base":2}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3856,"base":2},"right_expr":{"type":"numeric_atoms","value":3453,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5982,"base":2},"right_expr":{"type":"numeric_atoms","value":2517,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":4388,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3242,"base":2},"right_expr":{"type":"numeric_atoms","value":1651,"base":2}}}}},"used_operators":["TpPTUOHfaN","U7g4x0WXJJ","rJVOvQCfKK","COABgblf1C","XIabStNQrY","f6k1SAg4EE","XhwjNDsVaA","3ViojmjbAp","Ph9nP6C5qx","uFcxV4UQCh","LRNGc0VcxI","dWAJyo7jo9","Tw270M8GLb"],"dependent_operators":["AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","X99M06cbEe","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1045","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=1417, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=749","layer":3},{"info":"number node, value=1027","layer":4},{"info":"compute unary expreesion, input=1027, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=1956","layer":3},{"info":"compute binary expreesion, left_input=749, right_input=1956, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1956","layer":2},{"info":"number node, value=2597","layer":4},{"info":"number node, value=6606","layer":4},{"info":"compute binary expreesion, left_input=2597, right_input=6606, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=4631","layer":4},{"info":"number node, value=4899","layer":4},{"info":"compute binary expreesion, left_input=4631, right_input=4899, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4902","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4902, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=4902","layer":2},{"info":"compute binary expreesion, left_input=1956, right_input=4902, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=3856","layer":4},{"info":"number node, value=3453","layer":4},{"info":"compute binary expreesion, left_input=3856, right_input=3453, 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=5982","layer":4},{"info":"number node, value=2517","layer":4},{"info":"compute binary expreesion, left_input=5982, right_input=2517, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=4388","layer":4},{"info":"compute unary expreesion, input=4388, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=3242","layer":4},{"info":"number node, value=1651","layer":4},{"info":"compute binary expreesion, left_input=3242, right_input=1651, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4893","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4893, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', 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":2,"result_base":2,"text":"((≮⫘↔10000010101⊭↱≮⫘↔10110001001)⨎(≮⫘↔10000000011⇋≉))∑⇟⊟((≮⫘↔101000100101/≮⫘↔1100111001110)⪒≮⫘↔1001000010111⨓≮⫘↔1001100100011)+⇶⊼(≮⫘↔111100010000∀⇚≩≮⫘↔110101111101)⪛≮⫘↔1011101011110⪢≮⫘↔100111010101≧⫂∧(⨰⫟⨤≮⫘↔1000100100100)⪛(≮⫘↔110010101010⪒≮⫘↔11001110011)=NaN","reverse_text":"NaN=((≮⫘↔10000010101⊭↱≮⫘↔10110001001)⨎(≮⫘↔10000000011⇋≉))∑⇟⊟((≮⫘↔101000100101/≮⫘↔1100111001110)⪒≮⫘↔1001000010111⨓≮⫘↔1001100100011)+⇶⊼(≮⫘↔111100010000∀⇚≩≮⫘↔110101111101)⪛≮⫘↔1011101011110⪢≮⫘↔100111010101≧⫂∧(⨰⫟⨤≮⫘↔1000100100100)⪛(≮⫘↔110010101010⪒≮⫘↔11001110011)","cot":[{"info":"≮⫘↔10000010101⊭↱≮⫘↔10110001001=≮⫘↔1011101101","layer":3},{"info":"≮⫘↔10000000011⇋≉=≮⫘↔11110100100","layer":3},{"info":"≮⫘↔1011101101⨎≮⫘↔11110100100=≮⫘↔11110100100","layer":2},{"info":"≮⫘↔101000100101/≮⫘↔1100111001110=≮⫘↔0","layer":3},{"info":"≮⫘↔1001000010111⨓≮⫘↔1001100100011=≮⫘↔-1001100100110","layer":3},{"info":"≮⫘↔0⪒≮⫘↔-1001100100110=≮⫘↔1001100100110","layer":2},{"info":"≮⫘↔11110100100∑⇟⊟≮⫘↔1001100100110=NaN","layer":1},{"info":"≮⫘↔111100010000∀⇚≩≮⫘↔110101111101=NaN","layer":3},{"info":"≮⫘↔1011101011110⪢≮⫘↔100111010101=NaN","layer":3},{"info":"NaN⪛NaN=NaN","layer":2},{"info":"⨰⫟⨤≮⫘↔1000100100100=NaN","layer":3},{"info":"≮⫘↔110010101010⪒≮⫘↔11001110011=≮⫘↔-1001100011101","layer":3},{"info":"NaN⪛≮⫘↔-1001100011101=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":270,"expression_no_base_symbol":"((∂$2188$)⋳⪒($6682$⫡⨏$1250$))⪛($4319$⫸⊐$2961$⋷(↥$3049$))∼(($1253$⋳⪒$1114$)↬($2980$⋷$2608$))≹⇙⪍((⫓⪴$2525$)⨟⋌⩍($1827$↛⩡⫤))","expression":"((∂≮⫘↔100010001100)⋳⪒(≮⫘↔1101000011010⫡⨏≮⫘↔10011100010))⪛(≮⫘↔1000011011111⫸⊐≮⫘↔101110010001⋷(↥≮⫘↔101111101001))∼((≮⫘↔10011100101⋳⪒≮⫘↔10001011010)↬(≮⫘↔101110100100⋷≮⫘↔101000110000))≹⇙⪍((⫓⪴≮⫘↔100111011101)⨟⋌⩍(≮⫘↔11100100011↛⩡⫤))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8261,"operation_count":15,"complexity_ratio":550.7333333333333,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2188,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6682,"base":2},"right_expr":{"type":"numeric_atoms","value":1250,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4319,"base":2},"right_expr":{"type":"numeric_atoms","value":2961,"base":2}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3049,"base":2}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1253,"base":2},"right_expr":{"type":"numeric_atoms","value":1114,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2980,"base":2},"right_expr":{"type":"numeric_atoms","value":2608,"base":2}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2525,"base":2}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1827,"base":2}}}}},"used_operators":["DyGG3AbaNP","uFcxV4UQCh","12rbrZMWeM","Uaa54Peajs","QMFrweE19q","23Mk6UjR3U","mqXw5SEYmG","A8NUZmVepG","AHs5Up7iyr","B5M0gjZbta","rGHVDoGpnC","eLxqMNBOBk","FU0Cs4j7VP"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY","dWAJyo7jo9","rGHVDoGpnC","Tcnh7f0tEr","9HNa5Wba9A","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2188","layer":4},{"info":"compute unary expreesion, input=2188, 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=6682","layer":4},{"info":"number node, value=1250","layer":4},{"info":"compute binary expreesion, left_input=6682, right_input=1250, 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=36693","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=36693, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=4319","layer":4},{"info":"number node, value=2961","layer":4},{"info":"compute binary expreesion, left_input=4319, right_input=2961, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11719","layer":3},{"info":"number node, value=3049","layer":4},{"info":"compute unary expreesion, input=3049, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=40","layer":3},{"info":"compute binary expreesion, left_input=11719, right_input=40, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-11639","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-11639, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1253","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=1253, right_input=1114, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1105","layer":3},{"info":"number node, value=2980","layer":4},{"info":"number node, value=2608","layer":4},{"info":"compute binary expreesion, left_input=2980, right_input=2608, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2236","layer":3},{"info":"compute binary expreesion, left_input=1105, right_input=2236, 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=2525","layer":4},{"info":"compute unary expreesion, input=2525, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=6375625","layer":3},{"info":"number node, value=1827","layer":4},{"info":"compute unary expreesion, input=1827, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-271966","layer":3},{"info":"compute binary expreesion, left_input=6375625, right_input=-271966, 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 = 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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((∂≮⫘↔100010001100)⋳⪒(≮⫘↔1101000011010⫡⨏≮⫘↔10011100010))⪛(≮⫘↔1000011011111⫸⊐≮⫘↔101110010001⋷(↥≮⫘↔101111101001))∼((≮⫘↔10011100101⋳⪒≮⫘↔10001011010)↬(≮⫘↔101110100100⋷≮⫘↔101000110000))≹⇙⪍((⫓⪴≮⫘↔100111011101)⨟⋌⩍(≮⫘↔11100100011↛⩡⫤))=NaN","reverse_text":"NaN=((∂≮⫘↔100010001100)⋳⪒(≮⫘↔1101000011010⫡⨏≮⫘↔10011100010))⪛(≮⫘↔1000011011111⫸⊐≮⫘↔101110010001⋷(↥≮⫘↔101111101001))∼((≮⫘↔10011100101⋳⪒≮⫘↔10001011010)↬(≮⫘↔101110100100⋷≮⫘↔101000110000))≹⇙⪍((⫓⪴≮⫘↔100111011101)⨟⋌⩍(≮⫘↔11100100011↛⩡⫤))","cot":[{"info":"∂≮⫘↔100010001100=NaN","layer":3},{"info":"≮⫘↔1101000011010⫡⨏≮⫘↔10011100010=≮⫘↔1000111101010101","layer":3},{"info":"NaN⋳⪒≮⫘↔1000111101010101=NaN","layer":2},{"info":"≮⫘↔1000011011111⫸⊐≮⫘↔101110010001=≮⫘↔10110111000111","layer":3},{"info":"↥≮⫘↔101111101001=≮⫘↔101000","layer":3},{"info":"≮⫘↔10110111000111⋷≮⫘↔101000=≮⫘↔-10110101110111","layer":2},{"info":"NaN⪛≮⫘↔-10110101110111=NaN","layer":1},{"info":"≮⫘↔10011100101⋳⪒≮⫘↔10001011010=≮⫘↔10001010001","layer":3},{"info":"≮⫘↔101110100100⋷≮⫘↔101000110000=≮⫘↔100010111100","layer":3},{"info":"≮⫘↔10001010001↬≮⫘↔100010111100=NaN","layer":2},{"info":"⫓⪴≮⫘↔100111011101=≮⫘↔11000010100100011001001","layer":3},{"info":"≮⫘↔11100100011↛⩡⫤=≮⫘↔-1000010011001011110","layer":3},{"info":"≮⫘↔11000010100100011001001⨟⋌⩍≮⫘↔-1000010011001011110=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":271,"expression_no_base_symbol":"($7780$↬$3225$≎⊠⪸($1187$⋷$7523$))⋝⋈⪟(($2347$⋥≓≎$3405$)≫≃)↛⩡⫤","expression":"(≮⫘↔1111001100100↬≮⫘↔110010011001≎⊠⪸(≮⫘↔10010100011⋷≮⫘↔1110101100011))⋝⋈⪟((≮⫘↔100100101011⋥≓≎≮⫘↔110101001101)≫≃)↛⩡⫤","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":93,"operation_count":7,"complexity_ratio":13.285714285714286,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":7780,"base":2},"right_expr":{"type":"numeric_atoms","value":3225,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1187,"base":2},"right_expr":{"type":"numeric_atoms","value":7523,"base":2}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2347,"base":2},"right_expr":{"type":"numeric_atoms","value":3405,"base":2}}}}},"used_operators":["FU0Cs4j7VP","2DDjHMKMc0","bJkvcejdHO","B5M0gjZbta","23Mk6UjR3U","X99M06cbEe","Qy55tPpLXF"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7780","layer":4},{"info":"number node, value=3225","layer":4},{"info":"compute binary expreesion, left_input=7780, right_input=3225, 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=1187","layer":4},{"info":"number node, value=7523","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=7523, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=13859","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13859, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":2},{"info":"number node, value=2347","layer":4},{"info":"number node, value=3405","layer":4},{"info":"compute binary expreesion, left_input=2347, right_input=3405, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4496","layer":3},{"info":"compute unary expreesion, input=4496, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10393","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10393, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"(≮⫘↔1111001100100↬≮⫘↔110010011001≎⊠⪸(≮⫘↔10010100011⋷≮⫘↔1110101100011))⋝⋈⪟((≮⫘↔100100101011⋥≓≎≮⫘↔110101001101)≫≃)↛⩡⫤=NaN","reverse_text":"NaN=(≮⫘↔1111001100100↬≮⫘↔110010011001≎⊠⪸(≮⫘↔10010100011⋷≮⫘↔1110101100011))⋝⋈⪟((≮⫘↔100100101011⋥≓≎≮⫘↔110101001101)≫≃)↛⩡⫤","cot":[{"info":"≮⫘↔1111001100100↬≮⫘↔110010011001=NaN","layer":3},{"info":"≮⫘↔10010100011⋷≮⫘↔1110101100011=≮⫘↔11011000100011","layer":3},{"info":"NaN≎⊠⪸≮⫘↔11011000100011=NaN","layer":2},{"info":"≮⫘↔100100101011⋥≓≎≮⫘↔110101001101=≮⫘↔1000110010000","layer":3},{"info":"≮⫘↔1000110010000≫≃=≮⫘↔10100010011001","layer":2},{"info":"NaN⋝⋈⪟≮⫘↔10100010011001=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":272,"expression_no_base_symbol":"($1004$⫸⊐$1004$⪨≂$1277$⨸⪁$5063$)⨟⋌⩍($1959$⪛$1225$∀⇚≩($1373$⪨≂$3054$))⫡⨏(($5934$⪐)+(⪲⇎$1247$))⨪↰⇹(($1058$%$1527$)-$3678$≹⇙⪍$1223$)","expression":"(≮⫘↔1111101100⫸⊐≮⫘↔1111101100⪨≂≮⫘↔10011111101⨸⪁≮⫘↔1001111000111)⨟⋌⩍(≮⫘↔11110100111⪛≮⫘↔10011001001∀⇚≩(≮⫘↔10101011101⪨≂≮⫘↔101111101110))⫡⨏((≮⫘↔1011100101110⪐)+(⪲⇎≮⫘↔10011011111))⨪↰⇹((≮⫘↔10000100010%≮⫘↔10111110111)-≮⫘↔111001011110≹⇙⪍≮⫘↔10011000111)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19557,"operation_count":15,"complexity_ratio":1303.8,"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":1004,"base":2},"right_expr":{"type":"numeric_atoms","value":1004,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1277,"base":2},"right_expr":{"type":"numeric_atoms","value":5063,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1959,"base":2},"right_expr":{"type":"numeric_atoms","value":1225,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1373,"base":2},"right_expr":{"type":"numeric_atoms","value":3054,"base":2}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":5934,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1247,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1058,"base":2},"right_expr":{"type":"numeric_atoms","value":1527,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3678,"base":2},"right_expr":{"type":"numeric_atoms","value":1223,"base":2}}}}},"used_operators":["QMFrweE19q","rGHVDoGpnC","sdazOOVcIp","mqXw5SEYmG","g55IO6H4Gj","LRNGc0VcxI","uFcxV4UQCh","tmPS8pqC7x","W4YGzv6Whe","eH2TOUuTDT","XPYlsWDdGa","rysDP5nf3Z","k8jYdgA6NY","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","X99M06cbEe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=1004, 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=3891","layer":3},{"info":"number node, value=1277","layer":4},{"info":"number node, value=5063","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=5063, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12680","layer":3},{"info":"compute binary expreesion, left_input=3891, right_input=12680, 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=-17476","layer":2},{"info":"number node, value=1959","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=1959, right_input=1225, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=734","layer":3},{"info":"number node, value=1373","layer":4},{"info":"number node, value=3054","layer":4},{"info":"compute binary expreesion, left_input=1373, right_input=3054, 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=-3260","layer":3},{"info":"compute binary expreesion, left_input=734, right_input=-3260, 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=-17476, 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":"number node, value=5934","layer":4},{"info":"compute unary expreesion, input=5934, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=11868","layer":3},{"info":"number node, value=1247","layer":4},{"info":"compute unary expreesion, input=1247, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2494","layer":3},{"info":"compute binary expreesion, left_input=11868, right_input=2494, op_id = W4YGzv6Whe binary_op_definition= 'None', output=14362","layer":2},{"info":"number node, value=1058","layer":4},{"info":"number node, value=1527","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=1527, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1058","layer":3},{"info":"number node, value=3678","layer":4},{"info":"number node, value=1223","layer":4},{"info":"compute binary expreesion, left_input=3678, right_input=1223, 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=1058, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=14362, 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=14362","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=14362, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1111101100⫸⊐≮⫘↔1111101100⪨≂≮⫘↔10011111101⨸⪁≮⫘↔1001111000111)⨟⋌⩍(≮⫘↔11110100111⪛≮⫘↔10011001001∀⇚≩(≮⫘↔10101011101⪨≂≮⫘↔101111101110))⫡⨏((≮⫘↔1011100101110⪐)+(⪲⇎≮⫘↔10011011111))⨪↰⇹((≮⫘↔10000100010%≮⫘↔10111110111)-≮⫘↔111001011110≹⇙⪍≮⫘↔10011000111)=NaN","reverse_text":"NaN=(≮⫘↔1111101100⫸⊐≮⫘↔1111101100⪨≂≮⫘↔10011111101⨸⪁≮⫘↔1001111000111)⨟⋌⩍(≮⫘↔11110100111⪛≮⫘↔10011001001∀⇚≩(≮⫘↔10101011101⪨≂≮⫘↔101111101110))⫡⨏((≮⫘↔1011100101110⪐)+(⪲⇎≮⫘↔10011011111))⨪↰⇹((≮⫘↔10000100010%≮⫘↔10111110111)-≮⫘↔111001011110≹⇙⪍≮⫘↔10011000111)","cot":[{"info":"≮⫘↔1111101100⫸⊐≮⫘↔1111101100=≮⫘↔111100110011","layer":3},{"info":"≮⫘↔10011111101⨸⪁≮⫘↔1001111000111=≮⫘↔11000110001000","layer":3},{"info":"≮⫘↔111100110011⪨≂≮⫘↔11000110001000=≮⫘↔-100010001000100","layer":2},{"info":"≮⫘↔11110100111⪛≮⫘↔10011001001=≮⫘↔1011011110","layer":3},{"info":"≮⫘↔10101011101⪨≂≮⫘↔101111101110=≮⫘↔-110010111100","layer":3},{"info":"≮⫘↔1011011110∀⇚≩≮⫘↔-110010111100=NaN","layer":2},{"info":"≮⫘↔-100010001000100⨟⋌⩍NaN=NaN","layer":1},{"info":"≮⫘↔1011100101110⪐=≮⫘↔10111001011100","layer":3},{"info":"⪲⇎≮⫘↔10011011111=≮⫘↔100110111110","layer":3},{"info":"≮⫘↔10111001011100+≮⫘↔100110111110=≮⫘↔11100000011010","layer":2},{"info":"≮⫘↔10000100010%≮⫘↔10111110111=≮⫘↔10000100010","layer":3},{"info":"≮⫘↔111001011110≹⇙⪍≮⫘↔10011000111=NaN","layer":3},{"info":"≮⫘↔10000100010-NaN=NaN","layer":2},{"info":"≮⫘↔11100000011010⨪↰⇹NaN=≮⫘↔11100000011010","layer":1},{"info":"NaN⫡⨏≮⫘↔11100000011010=NaN","layer":0}]}
{"id":273,"expression_no_base_symbol":"(((⊄⩳↩$5390$)+⇶⊼(≦∁$2114$))⪛(∥⊫($3369$⋫)))⊴((-(⪲⇎$1038$))⨵⪆$1818$⫥∨⫟$1526$⨽(∥⊫$1946$))","expression":"(((⊄⩳↩≮⫘↔1010100001110)+⇶⊼(≦∁≮⫘↔100001000010))⪛(∥⊫(≮⫘↔110100101001⋫)))⊴((-(⪲⇎≮⫘↔10000001110))⨵⪆≮⫘↔11100011010⫥∨⫟≮⫘↔10111110110⨽(∥⊫≮⫘↔11110011010))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3720,"operation_count":13,"complexity_ratio":286.15384615384613,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5390,"base":2}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2114,"base":2}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3369,"base":2}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1038,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1818,"base":2},"right_expr":{"type":"numeric_atoms","value":1526,"base":2}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1946,"base":2}}}}},"used_operators":["Nsiff2A1zJ","uFcxV4UQCh","TpPTUOHfaN","8w2t5hMYqp","9ICcGScMcE","P8v4zCKN1o","JL8yIekQnl","2DQ55sFlQl","t8gj7n24qd","XPYlsWDdGa","8HhzD0ZcuI","KYD54nUTWz"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5390","layer":4},{"info":"compute unary expreesion, input=5390, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-16170","layer":3},{"info":"number node, value=2114","layer":4},{"info":"compute unary expreesion, input=2114, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2114","layer":3},{"info":"compute binary expreesion, left_input=-16170, right_input=2114, 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=3369","layer":4},{"info":"compute unary expreesion, input=3369, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3369","layer":3},{"info":"compute unary expreesion, input=3369, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4237","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4237, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1038","layer":4},{"info":"compute unary expreesion, input=1038, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2076","layer":3},{"info":"compute unary expreesion, input=2076, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2076","layer":2},{"info":"number node, value=1818","layer":4},{"info":"number node, value=1526","layer":4},{"info":"compute binary expreesion, left_input=1818, right_input=1526, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1946","layer":4},{"info":"compute unary expreesion, input=1946, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2814","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2814, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2076, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((⊄⩳↩≮⫘↔1010100001110)+⇶⊼(≦∁≮⫘↔100001000010))⪛(∥⊫(≮⫘↔110100101001⋫)))⊴((-(⪲⇎≮⫘↔10000001110))⨵⪆≮⫘↔11100011010⫥∨⫟≮⫘↔10111110110⨽(∥⊫≮⫘↔11110011010))=NaN","reverse_text":"NaN=(((⊄⩳↩≮⫘↔1010100001110)+⇶⊼(≦∁≮⫘↔100001000010))⪛(∥⊫(≮⫘↔110100101001⋫)))⊴((-(⪲⇎≮⫘↔10000001110))⨵⪆≮⫘↔11100011010⫥∨⫟≮⫘↔10111110110⨽(∥⊫≮⫘↔11110011010))","cot":[{"info":"⊄⩳↩≮⫘↔1010100001110=≮⫘↔-11111100101010","layer":3},{"info":"≦∁≮⫘↔100001000010=≮⫘↔100001000010","layer":3},{"info":"≮⫘↔-11111100101010+⇶⊼≮⫘↔100001000010=NaN","layer":2},{"info":"≮⫘↔110100101001⋫=≮⫘↔110100101001","layer":3},{"info":"∥⊫≮⫘↔110100101001=≮⫘↔1000010001101","layer":2},{"info":"NaN⪛≮⫘↔1000010001101=NaN","layer":1},{"info":"⪲⇎≮⫘↔10000001110=≮⫘↔100000011100","layer":3},{"info":"-≮⫘↔100000011100=≮⫘↔-100000011100","layer":2},{"info":"≮⫘↔11100011010⫥∨⫟≮⫘↔10111110110=NaN","layer":3},{"info":"∥⊫≮⫘↔11110011010=≮⫘↔101011111110","layer":3},{"info":"NaN⨽≮⫘↔101011111110=NaN","layer":2},{"info":"≮⫘↔-100000011100⨵⪆NaN=≮⫘↔10100000","layer":1},{"info":"NaN⊴≮⫘↔10100000=NaN","layer":0}]}
{"id":274,"expression_no_base_symbol":"(⨈⫕$3434$⩚⊴⇥$3265$)⨳⩥⨓($7488$≣⋋)⨟⋌⩍(⫓⪴$9642$)⇼⇔∾(⇁⨣⪵$1733$∀⇚≩$1195$⨓($2160$⋫))","expression":"(⨈⫕≮⫘↔110101101010⩚⊴⇥≮⫘↔110011000001)⨳⩥⨓(≮⫘↔1110101000000≣⋋)⨟⋌⩍(⫓⪴≮⫘↔10010110101010)⇼⇔∾(⇁⨣⪵≮⫘↔11011000101∀⇚≩≮⫘↔10010101011⨓(≮⫘↔100001110000⋫))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27009,"operation_count":11,"complexity_ratio":2455.3636363636365,"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":3434,"base":2},"right_expr":{"type":"numeric_atoms","value":3265,"base":2}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":7488,"base":2}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":9642,"base":2}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1733,"base":2},"right_expr":{"type":"numeric_atoms","value":1195,"base":2}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2160,"base":2}}}}},"used_operators":["tifHPKVTfV","nCS4ZIUYfx","megm06wKyl","NTOWxs364D","rGHVDoGpnC","Tcnh7f0tEr","eLxqMNBOBk","inkyxCbjAn","3ViojmjbAp","LRNGc0VcxI","JL8yIekQnl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","9HNa5Wba9A","B5M0gjZbta","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","X99M06cbEe","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3434","layer":4},{"info":"number node, value=3265","layer":4},{"info":"compute binary expreesion, left_input=3434, right_input=3265, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6820","layer":3},{"info":"compute unary expreesion, input=-6820, 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=7488","layer":4},{"info":"compute unary expreesion, input=7488, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"number node, value=9642","layer":4},{"info":"compute unary expreesion, input=9642, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=92968164","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=92968164, 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=-21, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=1733","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=1733, right_input=1195, 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=2160","layer":4},{"info":"compute unary expreesion, input=2160, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2160, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2163","layer":2},{"info":"compute unary expreesion, input=-2163, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨈⫕≮⫘↔110101101010⩚⊴⇥≮⫘↔110011000001)⨳⩥⨓(≮⫘↔1110101000000≣⋋)⨟⋌⩍(⫓⪴≮⫘↔10010110101010)⇼⇔∾(⇁⨣⪵≮⫘↔11011000101∀⇚≩≮⫘↔10010101011⨓(≮⫘↔100001110000⋫))=NaN","reverse_text":"NaN=(⨈⫕≮⫘↔110101101010⩚⊴⇥≮⫘↔110011000001)⨳⩥⨓(≮⫘↔1110101000000≣⋋)⨟⋌⩍(⫓⪴≮⫘↔10010110101010)⇼⇔∾(⇁⨣⪵≮⫘↔11011000101∀⇚≩≮⫘↔10010101011⨓(≮⫘↔100001110000⋫))","cot":[{"info":"≮⫘↔110101101010⩚⊴⇥≮⫘↔110011000001=≮⫘↔-1101010100100","layer":3},{"info":"⨈⫕≮⫘↔-1101010100100=≮⫘↔-10101","layer":2},{"info":"≮⫘↔1110101000000≣⋋=≮⫘↔0","layer":3},{"info":"⫓⪴≮⫘↔10010110101010=≮⫘↔101100010101001010011100100","layer":3},{"info":"≮⫘↔0⨟⋌⩍≮⫘↔101100010101001010011100100=NaN","layer":2},{"info":"≮⫘↔-10101⨳⩥⨓NaN=NaN","layer":1},{"info":"≮⫘↔11011000101∀⇚≩≮⫘↔10010101011=NaN","layer":3},{"info":"≮⫘↔100001110000⋫=≮⫘↔100001110000","layer":3},{"info":"NaN⨓≮⫘↔100001110000=≮⫘↔-100001110011","layer":2},{"info":"⇁⨣⪵≮⫘↔-100001110011=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":275,"expression_no_base_symbol":"((⫛⫱⨽$6383$)⫥∨⫟($1393$+$1147$)⪄((∂$6810$)⊭∹↮))⋝⋈⪟(⩦⩻⨪(⋗⩬⋾(⫓⪴$4365$)))","expression":"((⫛⫱⨽≮⫘↔1100011101111)⫥∨⫟(≮⫘↔10101110001+≮⫘↔10001111011)⪄((∂≮⫘↔1101010011010)⊭∹↮))⋝⋈⪟(⩦⩻⨪(⋗⩬⋾(⫓⪴≮⫘↔1000100001101)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5979,"operation_count":10,"complexity_ratio":597.9,"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":6383,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1393,"base":2},"right_expr":{"type":"numeric_atoms","value":1147,"base":2}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":6810,"base":2}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4365,"base":2}}}}},"used_operators":["2DDjHMKMc0","SUmda5xLS4","KYD54nUTWz","DlLNRPXxWL","W4YGzv6Whe","xNBdhnnwKq","Uaa54Peajs","2td37pGCOC","DpFCA1CohY","eLxqMNBOBk"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A"],"result":"≮⫘↔111110001011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6383","layer":4},{"info":"compute unary expreesion, input=6383, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1393","layer":4},{"info":"number node, value=1147","layer":4},{"info":"compute binary expreesion, left_input=1393, right_input=1147, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2540","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2540, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=6810","layer":4},{"info":"compute unary expreesion, input=6810, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=4365","layer":4},{"info":"compute unary expreesion, input=4365, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=19053225","layer":3},{"info":"compute unary expreesion, input=19053225, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-57159675","layer":2},{"info":"compute unary expreesion, input=-57159675, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-57159675","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=-57159675, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3979","layer":0}],"base":2,"result_base":2,"text":"((⫛⫱⨽≮⫘↔1100011101111)⫥∨⫟(≮⫘↔10101110001+≮⫘↔10001111011)⪄((∂≮⫘↔1101010011010)⊭∹↮))⋝⋈⪟(⩦⩻⨪(⋗⩬⋾(⫓⪴≮⫘↔1000100001101)))=≮⫘↔111110001011","reverse_text":"≮⫘↔111110001011=((⫛⫱⨽≮⫘↔1100011101111)⫥∨⫟(≮⫘↔10101110001+≮⫘↔10001111011)⪄((∂≮⫘↔1101010011010)⊭∹↮))⋝⋈⪟(⩦⩻⨪(⋗⩬⋾(⫓⪴≮⫘↔1000100001101)))","cot":[{"info":"⫛⫱⨽≮⫘↔1100011101111=≮⫘↔0","layer":3},{"info":"≮⫘↔10101110001+≮⫘↔10001111011=≮⫘↔100111101100","layer":3},{"info":"≮⫘↔0⫥∨⫟≮⫘↔100111101100=NaN","layer":2},{"info":"∂≮⫘↔1101010011010=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"NaN⪄NaN=≮⫘↔111110001011","layer":1},{"info":"⫓⪴≮⫘↔1000100001101=≮⫘↔1001000101011101010101001","layer":3},{"info":"⋗⩬⋾≮⫘↔1001000101011101010101001=≮⫘↔-11011010000010111111111011","layer":2},{"info":"⩦⩻⨪≮⫘↔-11011010000010111111111011=≮⫘↔-11011010000010111111111011","layer":1},{"info":"≮⫘↔111110001011⋝⋈⪟≮⫘↔-11011010000010111111111011=≮⫘↔111110001011","layer":0}]}
{"id":276,"expression_no_base_symbol":"(($2842$⪢$1055$⫡⨏$1008$⇼⇔∾$1011$)⊉≛↸($1364$⫸⊐$2545$)∑⇟⊟($3534$⪒$1968$))⪛((↯⪼($4309$⊭↱$4009$))⨪↰⇹($1000$⪘⫢$1020$⋫))","expression":"((≮⫘↔101100011010⪢≮⫘↔10000011111⫡⨏≮⫘↔1111110000⇼⇔∾≮⫘↔1111110011)⊉≛↸(≮⫘↔10101010100⫸⊐≮⫘↔100111110001)∑⇟⊟(≮⫘↔110111001110⪒≮⫘↔11110110000))⪛((↯⪼(≮⫘↔1000011010101⊭↱≮⫘↔111110101001))⨪↰⇹(≮⫘↔1111101000⪘⫢≮⫘↔1111111100⋫))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5426,"operation_count":13,"complexity_ratio":417.38461538461536,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2842,"base":2},"right_expr":{"type":"numeric_atoms","value":1055,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1008,"base":2},"right_expr":{"type":"numeric_atoms","value":1011,"base":2}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1364,"base":2},"right_expr":{"type":"numeric_atoms","value":2545,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3534,"base":2},"right_expr":{"type":"numeric_atoms","value":1968,"base":2}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4309,"base":2},"right_expr":{"type":"numeric_atoms","value":4009,"base":2}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1000,"base":2},"right_expr":{"type":"numeric_atoms","value":1020,"base":2}}}}},"used_operators":["uFcxV4UQCh","DZ8iAZOCBD","QMFrweE19q","dWAJyo7jo9","tifHPKVTfV","U7g4x0WXJJ","mqXw5SEYmG","f6k1SAg4EE","tmPS8pqC7x","8jW3W4yZS5","COABgblf1C","JL8yIekQnl","oacrs7FA3X"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2842","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=2842, right_input=1055, 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=1008","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=1011, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3, 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":"number node, value=1364","layer":4},{"info":"number node, value=2545","layer":4},{"info":"compute binary expreesion, left_input=1364, right_input=2545, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10055","layer":3},{"info":"number node, value=3534","layer":4},{"info":"number node, value=1968","layer":4},{"info":"compute binary expreesion, left_input=3534, right_input=1968, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5502","layer":3},{"info":"compute binary expreesion, left_input=10055, right_input=-5502, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=4309","layer":4},{"info":"number node, value=4009","layer":4},{"info":"compute binary expreesion, left_input=4309, right_input=4009, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-595","layer":3},{"info":"compute unary expreesion, input=-595, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=273","layer":2},{"info":"number node, value=1000","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1020, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1876","layer":3},{"info":"compute unary expreesion, input=1876, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1876","layer":2},{"info":"compute binary expreesion, left_input=273, right_input=1876, 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=273","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=273, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101100011010⪢≮⫘↔10000011111⫡⨏≮⫘↔1111110000⇼⇔∾≮⫘↔1111110011)⊉≛↸(≮⫘↔10101010100⫸⊐≮⫘↔100111110001)∑⇟⊟(≮⫘↔110111001110⪒≮⫘↔11110110000))⪛((↯⪼(≮⫘↔1000011010101⊭↱≮⫘↔111110101001))⨪↰⇹(≮⫘↔1111101000⪘⫢≮⫘↔1111111100⋫))=NaN","reverse_text":"NaN=((≮⫘↔101100011010⪢≮⫘↔10000011111⫡⨏≮⫘↔1111110000⇼⇔∾≮⫘↔1111110011)⊉≛↸(≮⫘↔10101010100⫸⊐≮⫘↔100111110001)∑⇟⊟(≮⫘↔110111001110⪒≮⫘↔11110110000))⪛((↯⪼(≮⫘↔1000011010101⊭↱≮⫘↔111110101001))⨪↰⇹(≮⫘↔1111101000⪘⫢≮⫘↔1111111100⋫))","cot":[{"info":"≮⫘↔101100011010⪢≮⫘↔10000011111=NaN","layer":3},{"info":"≮⫘↔1111110000⇼⇔∾≮⫘↔1111110011=≮⫘↔11","layer":3},{"info":"NaN⫡⨏≮⫘↔11=NaN","layer":2},{"info":"≮⫘↔10101010100⫸⊐≮⫘↔100111110001=≮⫘↔10011101000111","layer":3},{"info":"≮⫘↔110111001110⪒≮⫘↔11110110000=≮⫘↔-1010101111110","layer":3},{"info":"≮⫘↔10011101000111∑⇟⊟≮⫘↔-1010101111110=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"≮⫘↔1000011010101⊭↱≮⫘↔111110101001=≮⫘↔-1001010011","layer":3},{"info":"↯⪼≮⫘↔-1001010011=≮⫘↔100010001","layer":2},{"info":"≮⫘↔1111101000⪘⫢≮⫘↔1111111100=≮⫘↔11101010100","layer":3},{"info":"≮⫘↔11101010100⋫=≮⫘↔11101010100","layer":2},{"info":"≮⫘↔100010001⨪↰⇹≮⫘↔11101010100=≮⫘↔100010001","layer":1},{"info":"NaN⪛≮⫘↔100010001=NaN","layer":0}]}
{"id":277,"expression_no_base_symbol":"(↣≠⋷(($3529$-$2448$)⩨(⪲⇎$1366$)))⋓(($1688$⋝⋈⪟$2694$↙(↯⪼$1169$))⨰((↥$5157$)⩠))","expression":"(↣≠⋷((≮⫘↔110111001001-≮⫘↔100110010000)⩨(⪲⇎≮⫘↔10101010110)))⋓((≮⫘↔11010011000⋝⋈⪟≮⫘↔101010000110↙(↯⪼≮⫘↔10010010001))⨰((↥≮⫘↔1010000100101)⩠))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":241,"operation_count":11,"complexity_ratio":21.90909090909091,"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":3529,"base":2},"right_expr":{"type":"numeric_atoms","value":2448,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1366,"base":2}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1688,"base":2},"right_expr":{"type":"numeric_atoms","value":2694,"base":2}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1169,"base":2}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5157,"base":2}}}}},"used_operators":["T2fj7uvVaJ","Asc51vEJeQ","2DlMacCsIx","rysDP5nf3Z","XPYlsWDdGa","eewbuw0ToL","yyfyN0ffXY","2DDjHMKMc0","8jW3W4yZS5","sJAwomhLZr","A8NUZmVepG"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","k8jYdgA6NY"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3529","layer":4},{"info":"number node, value=2448","layer":4},{"info":"compute binary expreesion, left_input=3529, right_input=2448, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1081","layer":3},{"info":"number node, value=1366","layer":4},{"info":"compute unary expreesion, input=1366, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2732","layer":3},{"info":"compute binary expreesion, left_input=1081, right_input=2732, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":2},{"info":"compute unary expreesion, input=-6, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=1688","layer":4},{"info":"number node, value=2694","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=2694, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1688","layer":3},{"info":"number node, value=1169","layer":4},{"info":"compute unary expreesion, input=1169, 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=1688, right_input=-21, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-63","layer":2},{"info":"number node, value=5157","layer":4},{"info":"compute unary expreesion, input=5157, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=6","layer":3},{"info":"compute unary expreesion, input=6, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=185","layer":2},{"info":"compute binary expreesion, left_input=-63, right_input=185, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-238","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-238, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(↣≠⋷((≮⫘↔110111001001-≮⫘↔100110010000)⩨(⪲⇎≮⫘↔10101010110)))⋓((≮⫘↔11010011000⋝⋈⪟≮⫘↔101010000110↙(↯⪼≮⫘↔10010010001))⨰((↥≮⫘↔1010000100101)⩠))=≮⫘↔0","reverse_text":"≮⫘↔0=(↣≠⋷((≮⫘↔110111001001-≮⫘↔100110010000)⩨(⪲⇎≮⫘↔10101010110)))⋓((≮⫘↔11010011000⋝⋈⪟≮⫘↔101010000110↙(↯⪼≮⫘↔10010010001))⨰((↥≮⫘↔1010000100101)⩠))","cot":[{"info":"≮⫘↔110111001001-≮⫘↔100110010000=≮⫘↔10000111001","layer":3},{"info":"⪲⇎≮⫘↔10101010110=≮⫘↔101010101100","layer":3},{"info":"≮⫘↔10000111001⩨≮⫘↔101010101100=≮⫘↔-110","layer":2},{"info":"↣≠⋷≮⫘↔-110=NaN","layer":1},{"info":"≮⫘↔11010011000⋝⋈⪟≮⫘↔101010000110=≮⫘↔11010011000","layer":3},{"info":"↯⪼≮⫘↔10010010001=≮⫘↔-10101","layer":3},{"info":"≮⫘↔11010011000↙≮⫘↔-10101=≮⫘↔-111111","layer":2},{"info":"↥≮⫘↔1010000100101=≮⫘↔110","layer":3},{"info":"≮⫘↔110⩠=≮⫘↔10111001","layer":2},{"info":"≮⫘↔-111111⨰≮⫘↔10111001=≮⫘↔-11101110","layer":1},{"info":"NaN⋓≮⫘↔-11101110=≮⫘↔0","layer":0}]}
{"id":278,"expression_no_base_symbol":"((↔$1509$)⪐)⪮%⊝((⊄⩳↩$1686$)⨵⪆$1707$⨟⋌⩍$4574$)⩚⊴⇥((⇁⨣⪵($2502$⪨≂$7155$))⇼⇔∾(+⊝⨔$5608$≹⇙⪍$1538$))","expression":"((↔≮⫘↔10111100101)⪐)⪮%⊝((⊄⩳↩≮⫘↔11010010110)⨵⪆≮⫘↔11010101011⨟⋌⩍≮⫘↔1000111011110)⩚⊴⇥((⇁⨣⪵(≮⫘↔100111000110⪨≂≮⫘↔1101111110011))⇼⇔∾(+⊝⨔≮⫘↔1010111101000≹⇙⪍≮⫘↔11000000010))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":55,"operation_count":12,"complexity_ratio":4.583333333333333,"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":1509,"base":2}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1686,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1707,"base":2},"right_expr":{"type":"numeric_atoms","value":4574,"base":2}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2502,"base":2},"right_expr":{"type":"numeric_atoms","value":7155,"base":2}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5608,"base":2},"right_expr":{"type":"numeric_atoms","value":1538,"base":2}}}}},"used_operators":["NTOWxs364D","IWmyXbctLI","eH2TOUuTDT","ruOEQAzv1W","2DQ55sFlQl","8w2t5hMYqp","rGHVDoGpnC","tifHPKVTfV","inkyxCbjAn","sdazOOVcIp","DhbWaqg5eL","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"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":"compute unary expreesion, input=-1236, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-2472","layer":2},{"info":"number node, value=1686","layer":4},{"info":"compute unary expreesion, input=1686, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5058","layer":3},{"info":"number node, value=1707","layer":4},{"info":"number node, value=4574","layer":4},{"info":"compute binary expreesion, left_input=1707, right_input=4574, 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=-5058, right_input=nan, 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=-2472, right_input=160, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-4628","layer":1},{"info":"number node, value=2502","layer":4},{"info":"number node, value=7155","layer":4},{"info":"compute binary expreesion, left_input=2502, right_input=7155, 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=-9204","layer":3},{"info":"compute unary expreesion, input=-9204, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=5608","layer":4},{"info":"number node, value=1538","layer":4},{"info":"compute binary expreesion, left_input=5608, right_input=1538, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4628, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((↔≮⫘↔10111100101)⪐)⪮%⊝((⊄⩳↩≮⫘↔11010010110)⨵⪆≮⫘↔11010101011⨟⋌⩍≮⫘↔1000111011110)⩚⊴⇥((⇁⨣⪵(≮⫘↔100111000110⪨≂≮⫘↔1101111110011))⇼⇔∾(+⊝⨔≮⫘↔1010111101000≹⇙⪍≮⫘↔11000000010))=NaN","reverse_text":"NaN=((↔≮⫘↔10111100101)⪐)⪮%⊝((⊄⩳↩≮⫘↔11010010110)⨵⪆≮⫘↔11010101011⨟⋌⩍≮⫘↔1000111011110)⩚⊴⇥((⇁⨣⪵(≮⫘↔100111000110⪨≂≮⫘↔1101111110011))⇼⇔∾(+⊝⨔≮⫘↔1010111101000≹⇙⪍≮⫘↔11000000010))","cot":[{"info":"↔≮⫘↔10111100101=≮⫘↔-10011010100","layer":3},{"info":"≮⫘↔-10011010100⪐=≮⫘↔-100110101000","layer":2},{"info":"⊄⩳↩≮⫘↔11010010110=≮⫘↔-1001111000010","layer":3},{"info":"≮⫘↔11010101011⨟⋌⩍≮⫘↔1000111011110=NaN","layer":3},{"info":"≮⫘↔-1001111000010⨵⪆NaN=≮⫘↔10100000","layer":2},{"info":"≮⫘↔-100110101000⪮%⊝≮⫘↔10100000=≮⫘↔-1001000010100","layer":1},{"info":"≮⫘↔100111000110⪨≂≮⫘↔1101111110011=≮⫘↔-10001111110100","layer":3},{"info":"⇁⨣⪵≮⫘↔-10001111110100=NaN","layer":2},{"info":"≮⫘↔1010111101000≹⇙⪍≮⫘↔11000000010=NaN","layer":3},{"info":"+⊝⨔NaN=≮⫘↔10111110010","layer":2},{"info":"NaN⇼⇔∾≮⫘↔10111110010=NaN","layer":1},{"info":"≮⫘↔-1001000010100⩚⊴⇥NaN=NaN","layer":0}]}
{"id":279,"expression_no_base_symbol":"⪲⇎(↩($1331$⊭↱$3311$)≧⫂∧($2269$⨵⪆$2280$))","expression":"⪲⇎(↩(≮⫘↔10100110011⊭↱≮⫘↔110011101111)≧⫂∧(≮⫘↔100011011101⨵⪆≮⫘↔100011101000))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":30,"operation_count":5,"complexity_ratio":6.0,"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":1331,"base":2},"right_expr":{"type":"numeric_atoms","value":3311,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2269,"base":2},"right_expr":{"type":"numeric_atoms","value":2280,"base":2}}}}},"used_operators":["XPYlsWDdGa","jLgFTUHLKL","Ph9nP6C5qx","COABgblf1C","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔1111001000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1331","layer":4},{"info":"number node, value=3311","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=3311, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3965","layer":3},{"info":"number node, value=2269","layer":4},{"info":"number node, value=2280","layer":4},{"info":"compute binary expreesion, left_input=2269, right_input=2280, 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=3965, right_input=160, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-313","layer":2},{"info":"compute unary expreesion, input=-313, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=3872","layer":1},{"info":"compute unary expreesion, input=3872, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7744","layer":0}],"base":2,"result_base":2,"text":"⪲⇎(↩(≮⫘↔10100110011⊭↱≮⫘↔110011101111)≧⫂∧(≮⫘↔100011011101⨵⪆≮⫘↔100011101000))=≮⫘↔1111001000000","reverse_text":"≮⫘↔1111001000000=⪲⇎(↩(≮⫘↔10100110011⊭↱≮⫘↔110011101111)≧⫂∧(≮⫘↔100011011101⨵⪆≮⫘↔100011101000))","cot":[{"info":"≮⫘↔10100110011⊭↱≮⫘↔110011101111=≮⫘↔111101111101","layer":3},{"info":"≮⫘↔100011011101⨵⪆≮⫘↔100011101000=≮⫘↔10100000","layer":3},{"info":"≮⫘↔111101111101≧⫂∧≮⫘↔10100000=≮⫘↔-100111001","layer":2},{"info":"↩≮⫘↔-100111001=≮⫘↔111100100000","layer":1},{"info":"⪲⇎≮⫘↔111100100000=≮⫘↔1111001000000","layer":0}]}
{"id":280,"expression_no_base_symbol":"⫛⫱⨽((($2301$⫥∨⫟$2238$)∧)⪒($5828$⊠≄⫣)⨽($1545$⋷$1558$))","expression":"⫛⫱⨽(((≮⫘↔100011111101⫥∨⫟≮⫘↔100010111110)∧)⪒(≮⫘↔1011011000100⊠≄⫣)⨽(≮⫘↔11000001001⋷≮⫘↔11000010110))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1093,"operation_count":7,"complexity_ratio":156.14285714285714,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2301,"base":2},"right_expr":{"type":"numeric_atoms","value":2238,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5828,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1545,"base":2},"right_expr":{"type":"numeric_atoms","value":1558,"base":2}}}}},"used_operators":["DlLNRPXxWL","f6k1SAg4EE","z63VuFQld9","KYD54nUTWz","8HhzD0ZcuI","DIvbN7qnHd","23Mk6UjR3U"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2301","layer":4},{"info":"number node, value=2238","layer":4},{"info":"compute binary expreesion, left_input=2301, right_input=2238, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"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":2},{"info":"number node, value=5828","layer":4},{"info":"compute unary expreesion, input=5828, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1545","layer":4},{"info":"number node, value=1558","layer":4},{"info":"compute binary expreesion, left_input=1545, right_input=1558, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1571","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1571, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3399","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3399, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⫛⫱⨽(((≮⫘↔100011111101⫥∨⫟≮⫘↔100010111110)∧)⪒(≮⫘↔1011011000100⊠≄⫣)⨽(≮⫘↔11000001001⋷≮⫘↔11000010110))=NaN","reverse_text":"NaN=⫛⫱⨽(((≮⫘↔100011111101⫥∨⫟≮⫘↔100010111110)∧)⪒(≮⫘↔1011011000100⊠≄⫣)⨽(≮⫘↔11000001001⋷≮⫘↔11000010110))","cot":[{"info":"≮⫘↔100011111101⫥∨⫟≮⫘↔100010111110=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"≮⫘↔1011011000100⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔11000001001⋷≮⫘↔11000010110=≮⫘↔11000100011","layer":3},{"info":"≮⫘↔0⨽≮⫘↔11000100011=≮⫘↔-110101000111","layer":2},{"info":"NaN⪒≮⫘↔-110101000111=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":281,"expression_no_base_symbol":"(($4732$⪄$6355$)⨰($5385$≧⫂∧$1558$)⪄($3108$⫌⩹⨱)+⇶⊼($2284$⩚⊴⇥$2405$))⊴(($1002$≎⊠⪸$3583$+⇶⊼($1303$⨽$3324$))⇷(≦∁$2227$)⪛($1039$⨰$3598$))","expression":"((≮⫘↔1001001111100⪄≮⫘↔1100011010011)⨰(≮⫘↔1010100001001≧⫂∧≮⫘↔11000010110)⪄(≮⫘↔110000100100⫌⩹⨱)+⇶⊼(≮⫘↔100011101100⩚⊴⇥≮⫘↔100101100101))⊴((≮⫘↔1111101010≎⊠⪸≮⫘↔110111111111+⇶⊼(≮⫘↔10100010111⨽≮⫘↔110011111100))⇷(≦∁≮⫘↔100010110011)⪛(≮⫘↔10000001111⨰≮⫘↔111000001110))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1815,"operation_count":15,"complexity_ratio":121.0,"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":4732,"base":2},"right_expr":{"type":"numeric_atoms","value":6355,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5385,"base":2},"right_expr":{"type":"numeric_atoms","value":1558,"base":2}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3108,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2284,"base":2},"right_expr":{"type":"numeric_atoms","value":2405,"base":2}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1002,"base":2},"right_expr":{"type":"numeric_atoms","value":3583,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1303,"base":2},"right_expr":{"type":"numeric_atoms","value":3324,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2227,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1039,"base":2},"right_expr":{"type":"numeric_atoms","value":3598,"base":2}}}}},"used_operators":["Nsiff2A1zJ","SUmda5xLS4","eewbuw0ToL","Ph9nP6C5qx","TpPTUOHfaN","EBcxylXtPf","NTOWxs364D","mp7IySMOzn","bJkvcejdHO","8HhzD0ZcuI","uFcxV4UQCh","9ICcGScMcE"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4732","layer":4},{"info":"number node, value=6355","layer":4},{"info":"compute binary expreesion, left_input=4732, right_input=6355, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-721845","layer":3},{"info":"number node, value=5385","layer":4},{"info":"number node, value=1558","layer":4},{"info":"compute binary expreesion, left_input=5385, right_input=1558, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1085","layer":3},{"info":"compute binary expreesion, left_input=-721845, right_input=1085, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-722920","layer":2},{"info":"number node, value=3108","layer":4},{"info":"compute unary expreesion, input=3108, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=7617","layer":3},{"info":"number node, value=2284","layer":4},{"info":"number node, value=2405","layer":4},{"info":"compute binary expreesion, left_input=2284, right_input=2405, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4810","layer":3},{"info":"compute binary expreesion, left_input=7617, right_input=-4810, 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=-722920, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=1002","layer":4},{"info":"number node, value=3583","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=3583, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=259045","layer":3},{"info":"number node, value=1303","layer":4},{"info":"number node, value=3324","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=3324, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5102085","layer":3},{"info":"compute binary expreesion, left_input=259045, right_input=-5102085, 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=2227","layer":4},{"info":"compute unary expreesion, input=2227, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2227","layer":3},{"info":"number node, value=1039","layer":4},{"info":"number node, value=3598","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=3598, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2549","layer":3},{"info":"compute binary expreesion, left_input=2227, right_input=-2549, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-322","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-322, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001001111100⪄≮⫘↔1100011010011)⨰(≮⫘↔1010100001001≧⫂∧≮⫘↔11000010110)⪄(≮⫘↔110000100100⫌⩹⨱)+⇶⊼(≮⫘↔100011101100⩚⊴⇥≮⫘↔100101100101))⊴((≮⫘↔1111101010≎⊠⪸≮⫘↔110111111111+⇶⊼(≮⫘↔10100010111⨽≮⫘↔110011111100))⇷(≦∁≮⫘↔100010110011)⪛(≮⫘↔10000001111⨰≮⫘↔111000001110))=NaN","reverse_text":"NaN=((≮⫘↔1001001111100⪄≮⫘↔1100011010011)⨰(≮⫘↔1010100001001≧⫂∧≮⫘↔11000010110)⪄(≮⫘↔110000100100⫌⩹⨱)+⇶⊼(≮⫘↔100011101100⩚⊴⇥≮⫘↔100101100101))⊴((≮⫘↔1111101010≎⊠⪸≮⫘↔110111111111+⇶⊼(≮⫘↔10100010111⨽≮⫘↔110011111100))⇷(≦∁≮⫘↔100010110011)⪛(≮⫘↔10000001111⨰≮⫘↔111000001110))","cot":[{"info":"≮⫘↔1001001111100⪄≮⫘↔1100011010011=≮⫘↔-10110000001110110101","layer":3},{"info":"≮⫘↔1010100001001≧⫂∧≮⫘↔11000010110=≮⫘↔10000111101","layer":3},{"info":"≮⫘↔-10110000001110110101⨰≮⫘↔10000111101=≮⫘↔-10110000011111101000","layer":2},{"info":"≮⫘↔110000100100⫌⩹⨱=≮⫘↔1110111000001","layer":3},{"info":"≮⫘↔100011101100⩚⊴⇥≮⫘↔100101100101=≮⫘↔-1001011001010","layer":3},{"info":"≮⫘↔1110111000001+⇶⊼≮⫘↔-1001011001010=NaN","layer":2},{"info":"≮⫘↔-10110000011111101000⪄NaN=≮⫘↔111110001011","layer":1},{"info":"≮⫘↔1111101010≎⊠⪸≮⫘↔110111111111=≮⫘↔111111001111100101","layer":3},{"info":"≮⫘↔10100010111⨽≮⫘↔110011111100=≮⫘↔-10011011101101000000101","layer":3},{"info":"≮⫘↔111111001111100101+⇶⊼≮⫘↔-10011011101101000000101=NaN","layer":2},{"info":"≦∁≮⫘↔100010110011=≮⫘↔100010110011","layer":3},{"info":"≮⫘↔10000001111⨰≮⫘↔111000001110=≮⫘↔-100111110101","layer":3},{"info":"≮⫘↔100010110011⪛≮⫘↔-100111110101=≮⫘↔-101000010","layer":2},{"info":"NaN⇷≮⫘↔-101000010=NaN","layer":1},{"info":"≮⫘↔111110001011⊴NaN=NaN","layer":0}]}
{"id":282,"expression_no_base_symbol":"($1407$⇋≉)⊉≛↸($1569$↪⪝)⨸⪁($3372$*$1739$*$3027$⨽$2483$)⩨(∥⊫($1734$⋷$2980$))⨳⩥⨓$4526$⨪↰⇹$2017$≭($1176$⪒$3041$)","expression":"(≮⫘↔10101111111⇋≉)⊉≛↸(≮⫘↔11000100001↪⪝)⨸⪁(≮⫘↔110100101100*≮⫘↔11011001011*≮⫘↔101111010011⨽≮⫘↔100110110011)⩨(∥⊫(≮⫘↔11011000110⋷≮⫘↔101110100100))⨳⩥⨓≮⫘↔1000110101110⨪↰⇹≮⫘↔11111100001≭(≮⫘↔10010011000⪒≮⫘↔101111100001)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5873935,"operation_count":14,"complexity_ratio":419566.78571428574,"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":1407,"base":2}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1569,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3372,"base":2},"right_expr":{"type":"numeric_atoms","value":1739,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3027,"base":2},"right_expr":{"type":"numeric_atoms","value":2483,"base":2}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1734,"base":2},"right_expr":{"type":"numeric_atoms","value":2980,"base":2}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4526,"base":2},"right_expr":{"type":"numeric_atoms","value":2017,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1176,"base":2},"right_expr":{"type":"numeric_atoms","value":3041,"base":2}}}}},"used_operators":["2DlMacCsIx","g55IO6H4Gj","DZ8iAZOCBD","XIabStNQrY","l07mrZUIn9","9HNa5Wba9A","8HhzD0ZcuI","nCS4ZIUYfx","P8v4zCKN1o","23Mk6UjR3U","rxpJgHHUmx","tmPS8pqC7x","f6k1SAg4EE"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1407","layer":4},{"info":"compute unary expreesion, input=1407, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2716","layer":3},{"info":"number node, value=1569","layer":4},{"info":"compute unary expreesion, input=1569, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=95994558","layer":3},{"info":"compute binary expreesion, left_input=2716, right_input=95994558, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5432","layer":2},{"info":"number node, value=3372","layer":4},{"info":"number node, value=1739","layer":4},{"info":"compute binary expreesion, left_input=3372, right_input=1739, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5863908","layer":3},{"info":"number node, value=3027","layer":4},{"info":"number node, value=2483","layer":4},{"info":"compute binary expreesion, left_input=3027, right_input=2483, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-27494322","layer":3},{"info":"compute binary expreesion, left_input=5863908, right_input=-27494322, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=5432, right_input=-inf, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-inf","layer":1},{"info":"number node, value=1734","layer":4},{"info":"number node, value=2980","layer":4},{"info":"compute binary expreesion, left_input=1734, right_input=2980, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4226","layer":3},{"info":"compute unary expreesion, input=4226, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5094","layer":2},{"info":"number node, value=4526","layer":4},{"info":"number node, value=2017","layer":4},{"info":"compute binary expreesion, left_input=4526, right_input=2017, 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=4526","layer":3},{"info":"number node, value=1176","layer":4},{"info":"number node, value=3041","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=3041, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4217","layer":3},{"info":"compute binary expreesion, left_input=4526, right_input=-4217, 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=5094, 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=-inf, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10101111111⇋≉)⊉≛↸(≮⫘↔11000100001↪⪝)⨸⪁(≮⫘↔110100101100*≮⫘↔11011001011*≮⫘↔101111010011⨽≮⫘↔100110110011)⩨(∥⊫(≮⫘↔11011000110⋷≮⫘↔101110100100))⨳⩥⨓≮⫘↔1000110101110⨪↰⇹≮⫘↔11111100001≭(≮⫘↔10010011000⪒≮⫘↔101111100001)=NaN","reverse_text":"NaN=(≮⫘↔10101111111⇋≉)⊉≛↸(≮⫘↔11000100001↪⪝)⨸⪁(≮⫘↔110100101100*≮⫘↔11011001011*≮⫘↔101111010011⨽≮⫘↔100110110011)⩨(∥⊫(≮⫘↔11011000110⋷≮⫘↔101110100100))⨳⩥⨓≮⫘↔1000110101110⨪↰⇹≮⫘↔11111100001≭(≮⫘↔10010011000⪒≮⫘↔101111100001)","cot":[{"info":"≮⫘↔10101111111⇋≉=≮⫘↔101010011100","layer":3},{"info":"≮⫘↔11000100001↪⪝=≮⫘↔101101110001100001010111110","layer":3},{"info":"≮⫘↔101010011100⊉≛↸≮⫘↔101101110001100001010111110=≮⫘↔1010100111000","layer":2},{"info":"≮⫘↔110100101100*≮⫘↔11011001011=≮⫘↔10110010111100111100100","layer":3},{"info":"≮⫘↔101111010011⨽≮⫘↔100110110011=≮⫘↔-1101000111000011110110010","layer":3},{"info":"≮⫘↔10110010111100111100100*≮⫘↔-1101000111000011110110010=-Inf","layer":2},{"info":"≮⫘↔1010100111000⨸⪁-Inf=-Inf","layer":1},{"info":"≮⫘↔11011000110⋷≮⫘↔101110100100=≮⫘↔1000010000010","layer":3},{"info":"∥⊫≮⫘↔1000010000010=≮⫘↔1001111100110","layer":2},{"info":"≮⫘↔1000110101110⨪↰⇹≮⫘↔11111100001=≮⫘↔1000110101110","layer":3},{"info":"≮⫘↔10010011000⪒≮⫘↔101111100001=≮⫘↔-1000001111001","layer":3},{"info":"≮⫘↔1000110101110≭≮⫘↔-1000001111001=NaN","layer":2},{"info":"≮⫘↔1001111100110⨳⩥⨓NaN=NaN","layer":1},{"info":"-Inf⩨NaN=NaN","layer":0}]}
{"id":283,"expression_no_base_symbol":"($3150$⨓$3302$)≹⇙⪍($1499$⨳⩥⨓$4676$)⨎$4081$⇷$1360$⩚⊴⇥($5753$*$6097$)⪠⩆⊳","expression":"(≮⫘↔110001001110⨓≮⫘↔110011100110)≹⇙⪍(≮⫘↔10111011011⨳⩥⨓≮⫘↔1001001000100)⨎≮⫘↔111111110001⇷≮⫘↔10101010000⩚⊴⇥(≮⫘↔1011001111001*≮⫘↔1011111010001)⪠⩆⊳","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":66215,"operation_count":8,"complexity_ratio":8276.875,"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":3150,"base":2},"right_expr":{"type":"numeric_atoms","value":3302,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1499,"base":2},"right_expr":{"type":"numeric_atoms","value":4676,"base":2}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4081,"base":2},"right_expr":{"type":"numeric_atoms","value":1360,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5753,"base":2},"right_expr":{"type":"numeric_atoms","value":6097,"base":2}}}}},"used_operators":["JLbD19bQDL","rJVOvQCfKK","AHs5Up7iyr","3ViojmjbAp","nCS4ZIUYfx","NTOWxs364D","mp7IySMOzn","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3150","layer":4},{"info":"number node, value=3302","layer":4},{"info":"compute binary expreesion, left_input=3150, right_input=3302, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3305","layer":3},{"info":"number node, value=1499","layer":4},{"info":"number node, value=4676","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=4676, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3177","layer":3},{"info":"compute binary expreesion, left_input=-3305, right_input=3177, 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=4081","layer":4},{"info":"number node, value=1360","layer":4},{"info":"compute binary expreesion, left_input=4081, right_input=1360, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2720","layer":3},{"info":"number node, value=5753","layer":4},{"info":"number node, value=6097","layer":4},{"info":"compute binary expreesion, left_input=5753, right_input=6097, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=35076041","layer":3},{"info":"compute binary expreesion, left_input=2720, right_input=35076041, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-35078882","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-35078882, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-35078882","layer":1},{"info":"compute unary expreesion, input=-35078882, 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":0}],"base":2,"result_base":2,"text":"(≮⫘↔110001001110⨓≮⫘↔110011100110)≹⇙⪍(≮⫘↔10111011011⨳⩥⨓≮⫘↔1001001000100)⨎≮⫘↔111111110001⇷≮⫘↔10101010000⩚⊴⇥(≮⫘↔1011001111001*≮⫘↔1011111010001)⪠⩆⊳=≮⫘↔0","reverse_text":"≮⫘↔0=(≮⫘↔110001001110⨓≮⫘↔110011100110)≹⇙⪍(≮⫘↔10111011011⨳⩥⨓≮⫘↔1001001000100)⨎≮⫘↔111111110001⇷≮⫘↔10101010000⩚⊴⇥(≮⫘↔1011001111001*≮⫘↔1011111010001)⪠⩆⊳","cot":[{"info":"≮⫘↔110001001110⨓≮⫘↔110011100110=≮⫘↔-110011101001","layer":3},{"info":"≮⫘↔10111011011⨳⩥⨓≮⫘↔1001001000100=≮⫘↔110001101001","layer":3},{"info":"≮⫘↔-110011101001≹⇙⪍≮⫘↔110001101001=NaN","layer":2},{"info":"≮⫘↔111111110001⇷≮⫘↔10101010000=≮⫘↔101010100000","layer":3},{"info":"≮⫘↔1011001111001*≮⫘↔1011111010001=≮⫘↔10000101110011011111001001","layer":3},{"info":"≮⫘↔101010100000⩚⊴⇥≮⫘↔10000101110011011111001001=≮⫘↔-10000101110100001011100010","layer":2},{"info":"NaN⨎≮⫘↔-10000101110100001011100010=≮⫘↔-10000101110100001011100010","layer":1},{"info":"≮⫘↔-10000101110100001011100010⪠⩆⊳=≮⫘↔0","layer":0}]}
{"id":284,"expression_no_base_symbol":"⨞⊢((+⊝⨔($6712$⪒$6097$))⫸⊐(≦∁($5534$+$4028$)))","expression":"⨞⊢((+⊝⨔(≮⫘↔1101000111000⪒≮⫘↔1011111010001))⫸⊐(≦∁(≮⫘↔1010110011110+≮⫘↔111110111100)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":51,"operation_count":6,"complexity_ratio":8.5,"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":6712,"base":2},"right_expr":{"type":"numeric_atoms","value":6097,"base":2}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5534,"base":2},"right_expr":{"type":"numeric_atoms","value":4028,"base":2}}}}},"used_operators":["xUOZtlo3hN","mqXw5SEYmG","DhbWaqg5eL","f6k1SAg4EE","9ICcGScMcE","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"≮⫘↔-1001010110011001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6712","layer":4},{"info":"number node, value=6097","layer":4},{"info":"compute binary expreesion, left_input=6712, right_input=6097, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-12809","layer":3},{"info":"compute unary expreesion, input=-12809, 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=5534","layer":4},{"info":"number node, value=4028","layer":4},{"info":"compute binary expreesion, left_input=5534, right_input=4028, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9562","layer":3},{"info":"compute unary expreesion, input=9562, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=9562","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=9562, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=38123","layer":1},{"info":"compute unary expreesion, input=38123, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-38297","layer":0}],"base":2,"result_base":2,"text":"⨞⊢((+⊝⨔(≮⫘↔1101000111000⪒≮⫘↔1011111010001))⫸⊐(≦∁(≮⫘↔1010110011110+≮⫘↔111110111100)))=≮⫘↔-1001010110011001","reverse_text":"≮⫘↔-1001010110011001=⨞⊢((+⊝⨔(≮⫘↔1101000111000⪒≮⫘↔1011111010001))⫸⊐(≦∁(≮⫘↔1010110011110+≮⫘↔111110111100)))","cot":[{"info":"≮⫘↔1101000111000⪒≮⫘↔1011111010001=≮⫘↔-11001000001001","layer":3},{"info":"+⊝⨔≮⫘↔-11001000001001=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔1010110011110+≮⫘↔111110111100=≮⫘↔10010101011010","layer":3},{"info":"≦∁≮⫘↔10010101011010=≮⫘↔10010101011010","layer":2},{"info":"≮⫘↔10111110010⫸⊐≮⫘↔10010101011010=≮⫘↔1001010011101011","layer":1},{"info":"⨞⊢≮⫘↔1001010011101011=≮⫘↔-1001010110011001","layer":0}]}
{"id":285,"expression_no_base_symbol":"(($2083$↬$2255$≫≃)⇋≉)⇼⇔∾(↣≠⋷((↣≠⋷$5687$)⋫))","expression":"((≮⫘↔100000100011↬≮⫘↔100011001111≫≃)⇋≉)⇼⇔∾(↣≠⋷((↣≠⋷≮⫘↔1011000110111)⋫))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":20,"operation_count":7,"complexity_ratio":2.857142857142857,"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":2083,"base":2},"right_expr":{"type":"numeric_atoms","value":2255,"base":2}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5687,"base":2}}}}},"used_operators":["tifHPKVTfV","XIabStNQrY","X99M06cbEe","B5M0gjZbta","Asc51vEJeQ","JL8yIekQnl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rGHVDoGpnC","XhwjNDsVaA","AHs5Up7iyr","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=2083","layer":4},{"info":"number node, value=2255","layer":4},{"info":"compute binary expreesion, left_input=2083, right_input=2255, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":1},{"info":"number node, value=5687","layer":4},{"info":"compute unary expreesion, input=5687, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100000100011↬≮⫘↔100011001111≫≃)⇋≉)⇼⇔∾(↣≠⋷((↣≠⋷≮⫘↔1011000110111)⋫))=NaN","reverse_text":"NaN=((≮⫘↔100000100011↬≮⫘↔100011001111≫≃)⇋≉)⇼⇔∾(↣≠⋷((↣≠⋷≮⫘↔1011000110111)⋫))","cot":[{"info":"≮⫘↔100000100011↬≮⫘↔100011001111=NaN","layer":3},{"info":"NaN≫≃=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"↣≠⋷≮⫘↔1011000110111=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":286,"expression_no_base_symbol":"(($5478$⩨$2705$)⨳⩥⨓($2135$⋫))⪘⫢($4972$+⇶⊼$1340$)⇷$1287$↬$5872$⨰(($1147$⫸⊐$1723$)⨟⋌⩍($6608$%$6415$)⨐⩸⫘(($1543$∲⫓$4309$)⊭↱$1140$⇷$7690$))","expression":"((≮⫘↔1010101100110⩨≮⫘↔101010010001)⨳⩥⨓(≮⫘↔100001010111⋫))⪘⫢(≮⫘↔1001101101100+⇶⊼≮⫘↔10100111100)⇷≮⫘↔10100000111↬≮⫘↔1011011110000⨰((≮⫘↔10001111011⫸⊐≮⫘↔11010111011)⨟⋌⩍(≮⫘↔1100111010000%≮⫘↔1100100001111)⨐⩸⫘((≮⫘↔11000000111∲⫓≮⫘↔1000011010101)⊭↱≮⫘↔10001110100⇷≮⫘↔1111000001010))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19448,"operation_count":15,"complexity_ratio":1296.5333333333333,"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":5478,"base":2},"right_expr":{"type":"numeric_atoms","value":2705,"base":2}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2135,"base":2}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4972,"base":2},"right_expr":{"type":"numeric_atoms","value":1340,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1287,"base":2},"right_expr":{"type":"numeric_atoms","value":5872,"base":2}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1147,"base":2},"right_expr":{"type":"numeric_atoms","value":1723,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6608,"base":2},"right_expr":{"type":"numeric_atoms","value":6415,"base":2}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1543,"base":2},"right_expr":{"type":"numeric_atoms","value":4309,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1140,"base":2},"right_expr":{"type":"numeric_atoms","value":7690,"base":2}}}}},"used_operators":["eewbuw0ToL","oacrs7FA3X","nCS4ZIUYfx","2DlMacCsIx","JL8yIekQnl","mp7IySMOzn","TpPTUOHfaN","B5M0gjZbta","fu6greOZ01","rGHVDoGpnC","mqXw5SEYmG","k8jYdgA6NY","COABgblf1C","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","rGHVDoGpnC","3ViojmjbAp","Tcnh7f0tEr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5478","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=5478, right_input=2705, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2135","layer":4},{"info":"compute unary expreesion, input=2135, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2135","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2135, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2135","layer":2},{"info":"number node, value=4972","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=4972, right_input=1340, 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=1287","layer":4},{"info":"number node, value=5872","layer":4},{"info":"compute binary expreesion, left_input=1287, right_input=5872, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2135, 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=1147","layer":4},{"info":"number node, value=1723","layer":4},{"info":"compute binary expreesion, left_input=1147, right_input=1723, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6767","layer":3},{"info":"number node, value=6608","layer":4},{"info":"number node, value=6415","layer":4},{"info":"compute binary expreesion, left_input=6608, right_input=6415, op_id = k8jYdgA6NY binary_op_definition= 'None', output=193","layer":3},{"info":"compute binary expreesion, left_input=6767, right_input=193, 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=1543","layer":4},{"info":"number node, value=4309","layer":4},{"info":"compute binary expreesion, left_input=1543, right_input=4309, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1140","layer":4},{"info":"number node, value=7690","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=7690, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=15380","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=15380, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=30765","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=30765, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010101100110⩨≮⫘↔101010010001)⨳⩥⨓(≮⫘↔100001010111⋫))⪘⫢(≮⫘↔1001101101100+⇶⊼≮⫘↔10100111100)⇷≮⫘↔10100000111↬≮⫘↔1011011110000⨰((≮⫘↔10001111011⫸⊐≮⫘↔11010111011)⨟⋌⩍(≮⫘↔1100111010000%≮⫘↔1100100001111)⨐⩸⫘((≮⫘↔11000000111∲⫓≮⫘↔1000011010101)⊭↱≮⫘↔10001110100⇷≮⫘↔1111000001010))=NaN","reverse_text":"NaN=((≮⫘↔1010101100110⩨≮⫘↔101010010001)⨳⩥⨓(≮⫘↔100001010111⋫))⪘⫢(≮⫘↔1001101101100+⇶⊼≮⫘↔10100111100)⇷≮⫘↔10100000111↬≮⫘↔1011011110000⨰((≮⫘↔10001111011⫸⊐≮⫘↔11010111011)⨟⋌⩍(≮⫘↔1100111010000%≮⫘↔1100100001111)⨐⩸⫘((≮⫘↔11000000111∲⫓≮⫘↔1000011010101)⊭↱≮⫘↔10001110100⇷≮⫘↔1111000001010))","cot":[{"info":"≮⫘↔1010101100110⩨≮⫘↔101010010001=≮⫘↔0","layer":3},{"info":"≮⫘↔100001010111⋫=≮⫘↔100001010111","layer":3},{"info":"≮⫘↔0⨳⩥⨓≮⫘↔100001010111=≮⫘↔100001010111","layer":2},{"info":"≮⫘↔1001101101100+⇶⊼≮⫘↔10100111100=NaN","layer":3},{"info":"≮⫘↔10100000111↬≮⫘↔1011011110000=NaN","layer":3},{"info":"NaN⇷NaN=NaN","layer":2},{"info":"≮⫘↔100001010111⪘⫢NaN=NaN","layer":1},{"info":"≮⫘↔10001111011⫸⊐≮⫘↔11010111011=≮⫘↔1101001101111","layer":3},{"info":"≮⫘↔1100111010000%≮⫘↔1100100001111=≮⫘↔11000001","layer":3},{"info":"≮⫘↔1101001101111⨟⋌⩍≮⫘↔11000001=≮⫘↔0","layer":2},{"info":"≮⫘↔11000000111∲⫓≮⫘↔1000011010101=≮⫘↔0","layer":3},{"info":"≮⫘↔10001110100⇷≮⫘↔1111000001010=≮⫘↔11110000010100","layer":3},{"info":"≮⫘↔0⊭↱≮⫘↔11110000010100=≮⫘↔111100000101101","layer":2},{"info":"≮⫘↔0⨐⩸⫘≮⫘↔111100000101101=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":287,"expression_no_base_symbol":"($1806$⋝⋈⪟$1161$)⨪↰⇹(≉$7264$)⩚⊴⇥(⨵≀≌$4228$⨐⩸⫘$2302$)-($2068$⩨$5250$)⋓(↣≠⋷$1484$)↙(($5346$⇼⇔∾$1367$)⪐)","expression":"(≮⫘↔11100001110⋝⋈⪟≮⫘↔10010001001)⨪↰⇹(≉≮⫘↔1110001100000)⩚⊴⇥(⨵≀≌≮⫘↔1000010000100⨐⩸⫘≮⫘↔100011111110)-(≮⫘↔100000010100⩨≮⫘↔1010010000010)⋓(↣≠⋷≮⫘↔10111001100)↙((≮⫘↔1010011100010⇼⇔∾≮⫘↔10101010111)⪐)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1845,"operation_count":13,"complexity_ratio":141.92307692307693,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1806,"base":2},"right_expr":{"type":"numeric_atoms","value":1161,"base":2}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":7264,"base":2}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4228,"base":2},"right_expr":{"type":"numeric_atoms","value":2302,"base":2}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2068,"base":2},"right_expr":{"type":"numeric_atoms","value":5250,"base":2}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1484,"base":2}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5346,"base":2},"right_expr":{"type":"numeric_atoms","value":1367,"base":2}}}}},"used_operators":["rysDP5nf3Z","NTOWxs364D","tmPS8pqC7x","2DDjHMKMc0","e1ybzncUwg","srAu1WTS94","fu6greOZ01","yyfyN0ffXY","T2fj7uvVaJ","2DlMacCsIx","Asc51vEJeQ","eH2TOUuTDT","tifHPKVTfV"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","3ViojmjbAp","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1806","layer":4},{"info":"number node, value=1161","layer":4},{"info":"compute binary expreesion, left_input=1806, right_input=1161, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1806","layer":3},{"info":"number node, value=7264","layer":4},{"info":"compute unary expreesion, input=7264, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=7795","layer":3},{"info":"compute binary expreesion, left_input=1806, right_input=7795, 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=1806","layer":2},{"info":"number node, value=4228","layer":4},{"info":"number node, value=2302","layer":4},{"info":"compute binary expreesion, left_input=4228, right_input=2302, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1806, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=2068","layer":4},{"info":"number node, value=5250","layer":4},{"info":"compute binary expreesion, left_input=2068, right_input=5250, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=1484","layer":4},{"info":"compute unary expreesion, input=1484, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6, 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":"number node, value=5346","layer":4},{"info":"number node, value=1367","layer":4},{"info":"compute binary expreesion, left_input=5346, right_input=1367, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3979","layer":3},{"info":"compute unary expreesion, input=-3979, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-7958","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7958, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11100001110⋝⋈⪟≮⫘↔10010001001)⨪↰⇹(≉≮⫘↔1110001100000)⩚⊴⇥(⨵≀≌≮⫘↔1000010000100⨐⩸⫘≮⫘↔100011111110)-(≮⫘↔100000010100⩨≮⫘↔1010010000010)⋓(↣≠⋷≮⫘↔10111001100)↙((≮⫘↔1010011100010⇼⇔∾≮⫘↔10101010111)⪐)=NaN","reverse_text":"NaN=(≮⫘↔11100001110⋝⋈⪟≮⫘↔10010001001)⨪↰⇹(≉≮⫘↔1110001100000)⩚⊴⇥(⨵≀≌≮⫘↔1000010000100⨐⩸⫘≮⫘↔100011111110)-(≮⫘↔100000010100⩨≮⫘↔1010010000010)⋓(↣≠⋷≮⫘↔10111001100)↙((≮⫘↔1010011100010⇼⇔∾≮⫘↔10101010111)⪐)","cot":[{"info":"≮⫘↔11100001110⋝⋈⪟≮⫘↔10010001001=≮⫘↔11100001110","layer":3},{"info":"≉≮⫘↔1110001100000=≮⫘↔1111001110011","layer":3},{"info":"≮⫘↔11100001110⨪↰⇹≮⫘↔1111001110011=≮⫘↔11100001110","layer":2},{"info":"≮⫘↔1000010000100⨐⩸⫘≮⫘↔100011111110=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"≮⫘↔11100001110⩚⊴⇥NaN=NaN","layer":1},{"info":"≮⫘↔100000010100⩨≮⫘↔1010010000010=≮⫘↔-110","layer":3},{"info":"↣≠⋷≮⫘↔10111001100=NaN","layer":3},{"info":"≮⫘↔-110⋓NaN=NaN","layer":2},{"info":"≮⫘↔1010011100010⇼⇔∾≮⫘↔10101010111=≮⫘↔-111110001011","layer":3},{"info":"≮⫘↔-111110001011⪐=≮⫘↔-1111100010110","layer":2},{"info":"NaN↙≮⫘↔-1111100010110=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":288,"expression_no_base_symbol":"(($5883$⪛$2847$⨵⪆(↩$6079$))∑⇟⊟($3441$≧⫂∧$5647$≎⊠⪸$1105$⨰$1346$))⊴(($3502$⋓$3064$⪄(+⊝⨔$2340$))⩷∴((⨈⫕$1764$)∧))","expression":"((≮⫘↔1011011111011⪛≮⫘↔101100011111⨵⪆(↩≮⫘↔1011110111111))∑⇟⊟(≮⫘↔110101110001≧⫂∧≮⫘↔1011000001111≎⊠⪸≮⫘↔10001010001⨰≮⫘↔10101000010))⊴((≮⫘↔110110101110⋓≮⫘↔101111111000⪄(+⊝⨔≮⫘↔100100100100))⩷∴((⨈⫕≮⫘↔11011100100)∧))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5373,"operation_count":14,"complexity_ratio":383.7857142857143,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5883,"base":2},"right_expr":{"type":"numeric_atoms","value":2847,"base":2}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":6079,"base":2}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3441,"base":2},"right_expr":{"type":"numeric_atoms","value":5647,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1105,"base":2},"right_expr":{"type":"numeric_atoms","value":1346,"base":2}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3502,"base":2},"right_expr":{"type":"numeric_atoms","value":3064,"base":2}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2340,"base":2}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1764,"base":2}}}}},"used_operators":["Nsiff2A1zJ","U7g4x0WXJJ","2DQ55sFlQl","uFcxV4UQCh","jLgFTUHLKL","bJkvcejdHO","Ph9nP6C5qx","eewbuw0ToL","9FxExcQeMw","SUmda5xLS4","T2fj7uvVaJ","DhbWaqg5eL","z63VuFQld9","megm06wKyl"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5883","layer":4},{"info":"number node, value=2847","layer":4},{"info":"compute binary expreesion, left_input=5883, right_input=2847, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=189","layer":3},{"info":"number node, value=6079","layer":4},{"info":"compute unary expreesion, input=6079, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-45852","layer":3},{"info":"compute binary expreesion, left_input=189, right_input=-45852, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=3441","layer":4},{"info":"number node, value=5647","layer":4},{"info":"compute binary expreesion, left_input=3441, right_input=5647, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5174","layer":3},{"info":"number node, value=1105","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=1346, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-231","layer":3},{"info":"compute binary expreesion, left_input=5174, right_input=-231, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1339593","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=1339593, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=3502","layer":4},{"info":"number node, value=3064","layer":4},{"info":"compute binary expreesion, left_input=3502, right_input=3064, 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=2340","layer":4},{"info":"compute unary expreesion, input=2340, 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=0, right_input=1522, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-2177","layer":2},{"info":"number node, value=1764","layer":4},{"info":"compute unary expreesion, input=1764, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=42","layer":2},{"info":"compute binary expreesion, left_input=-2177, right_input=42, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4470","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4470, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1011011111011⪛≮⫘↔101100011111⨵⪆(↩≮⫘↔1011110111111))∑⇟⊟(≮⫘↔110101110001≧⫂∧≮⫘↔1011000001111≎⊠⪸≮⫘↔10001010001⨰≮⫘↔10101000010))⊴((≮⫘↔110110101110⋓≮⫘↔101111111000⪄(+⊝⨔≮⫘↔100100100100))⩷∴((⨈⫕≮⫘↔11011100100)∧))=NaN","reverse_text":"NaN=((≮⫘↔1011011111011⪛≮⫘↔101100011111⨵⪆(↩≮⫘↔1011110111111))∑⇟⊟(≮⫘↔110101110001≧⫂∧≮⫘↔1011000001111≎⊠⪸≮⫘↔10001010001⨰≮⫘↔10101000010))⊴((≮⫘↔110110101110⋓≮⫘↔101111111000⪄(+⊝⨔≮⫘↔100100100100))⩷∴((⨈⫕≮⫘↔11011100100)∧))","cot":[{"info":"≮⫘↔1011011111011⪛≮⫘↔101100011111=≮⫘↔10111101","layer":3},{"info":"↩≮⫘↔1011110111111=≮⫘↔-1011001100011100","layer":3},{"info":"≮⫘↔10111101⨵⪆≮⫘↔-1011001100011100=≮⫘↔10100000","layer":2},{"info":"≮⫘↔110101110001≧⫂∧≮⫘↔1011000001111=≮⫘↔1010000110110","layer":3},{"info":"≮⫘↔10001010001⨰≮⫘↔10101000010=≮⫘↔-11100111","layer":3},{"info":"≮⫘↔1010000110110≎⊠⪸≮⫘↔-11100111=≮⫘↔101000111000011001001","layer":2},{"info":"≮⫘↔10100000∑⇟⊟≮⫘↔101000111000011001001=NaN","layer":1},{"info":"≮⫘↔110110101110⋓≮⫘↔101111111000=≮⫘↔0","layer":3},{"info":"+⊝⨔≮⫘↔100100100100=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔0⪄≮⫘↔10111110010=≮⫘↔-100010000001","layer":2},{"info":"⨈⫕≮⫘↔11011100100=≮⫘↔-10101","layer":3},{"info":"≮⫘↔-10101∧=≮⫘↔101010","layer":2},{"info":"≮⫘↔-100010000001⩷∴≮⫘↔101010=≮⫘↔-1000101110110","layer":1},{"info":"NaN⊴≮⫘↔-1000101110110=NaN","layer":0}]}
{"id":289,"expression_no_base_symbol":"($2262$∼$3486$↙($5321$⫸⊐$2039$))⫥∨⫟(($1018$≦≮≮)⨸⪁$1320$⨳⩥⨓$6652$)⨎(⪝⪂⫅(($6621$⇼⇔∾$1819$)⨳⩥⨓(⊄⩳↩$7133$)))","expression":"(≮⫘↔100011010110∼≮⫘↔110110011110↙(≮⫘↔1010011001001⫸⊐≮⫘↔11111110111))⫥∨⫟((≮⫘↔1111111010≦≮≮)⨸⪁≮⫘↔10100101000⨳⩥⨓≮⫘↔1100111111100)⨎(⪝⪂⫅((≮⫘↔1100111011101⇼⇔∾≮⫘↔11100011011)⨳⩥⨓(⊄⩳↩≮⫘↔1101111011101)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":393,"operation_count":12,"complexity_ratio":32.75,"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":2262,"base":2},"right_expr":{"type":"numeric_atoms","value":3486,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5321,"base":2},"right_expr":{"type":"numeric_atoms","value":2039,"base":2}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1018,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1320,"base":2},"right_expr":{"type":"numeric_atoms","value":6652,"base":2}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6621,"base":2},"right_expr":{"type":"numeric_atoms","value":1819,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":7133,"base":2}}}}},"used_operators":["rJVOvQCfKK","KYD54nUTWz","yyfyN0ffXY","DyGG3AbaNP","mqXw5SEYmG","g55IO6H4Gj","D4vGDi5EA2","nCS4ZIUYfx","XTarYq4gQB","tifHPKVTfV","8w2t5hMYqp"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8HhzD0ZcuI","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔1001010011101001001111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2262","layer":4},{"info":"number node, value=3486","layer":4},{"info":"compute binary expreesion, left_input=2262, right_input=3486, 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=5321","layer":4},{"info":"number node, value=2039","layer":4},{"info":"compute binary expreesion, left_input=5321, right_input=2039, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8031","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8031, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=1018","layer":4},{"info":"compute unary expreesion, input=1018, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3054","layer":3},{"info":"number node, value=1320","layer":4},{"info":"number node, value=6652","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=6652, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=5332","layer":3},{"info":"compute binary expreesion, left_input=-3054, right_input=5332, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4556","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4556, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=6621","layer":4},{"info":"number node, value=1819","layer":4},{"info":"compute binary expreesion, left_input=6621, right_input=1819, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4802","layer":3},{"info":"number node, value=7133","layer":4},{"info":"compute unary expreesion, input=7133, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-21399","layer":3},{"info":"compute binary expreesion, left_input=-4802, right_input=-21399, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-16597","layer":2},{"info":"compute unary expreesion, input=-16597, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=2439759","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2439759, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2439759","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100011010110∼≮⫘↔110110011110↙(≮⫘↔1010011001001⫸⊐≮⫘↔11111110111))⫥∨⫟((≮⫘↔1111111010≦≮≮)⨸⪁≮⫘↔10100101000⨳⩥⨓≮⫘↔1100111111100)⨎(⪝⪂⫅((≮⫘↔1100111011101⇼⇔∾≮⫘↔11100011011)⨳⩥⨓(⊄⩳↩≮⫘↔1101111011101)))=≮⫘↔1001010011101001001111","reverse_text":"≮⫘↔1001010011101001001111=(≮⫘↔100011010110∼≮⫘↔110110011110↙(≮⫘↔1010011001001⫸⊐≮⫘↔11111110111))⫥∨⫟((≮⫘↔1111111010≦≮≮)⨸⪁≮⫘↔10100101000⨳⩥⨓≮⫘↔1100111111100)⨎(⪝⪂⫅((≮⫘↔1100111011101⇼⇔∾≮⫘↔11100011011)⨳⩥⨓(⊄⩳↩≮⫘↔1101111011101)))","cot":[{"info":"≮⫘↔100011010110∼≮⫘↔110110011110=NaN","layer":3},{"info":"≮⫘↔1010011001001⫸⊐≮⫘↔11111110111=≮⫘↔1111101011111","layer":3},{"info":"NaN↙≮⫘↔1111101011111=NaN","layer":2},{"info":"≮⫘↔1111111010≦≮≮=≮⫘↔-101111101110","layer":3},{"info":"≮⫘↔10100101000⨳⩥⨓≮⫘↔1100111111100=≮⫘↔1010011010100","layer":3},{"info":"≮⫘↔-101111101110⨸⪁≮⫘↔1010011010100=≮⫘↔1000111001100","layer":2},{"info":"NaN⫥∨⫟≮⫘↔1000111001100=NaN","layer":1},{"info":"≮⫘↔1100111011101⇼⇔∾≮⫘↔11100011011=≮⫘↔-1001011000010","layer":3},{"info":"⊄⩳↩≮⫘↔1101111011101=≮⫘↔-101001110010111","layer":3},{"info":"≮⫘↔-1001011000010⨳⩥⨓≮⫘↔-101001110010111=≮⫘↔-100000011010101","layer":2},{"info":"⪝⪂⫅≮⫘↔-100000011010101=≮⫘↔1001010011101001001111","layer":1},{"info":"NaN⨎≮⫘↔1001010011101001001111=≮⫘↔1001010011101001001111","layer":0}]}
{"id":290,"expression_no_base_symbol":"((∂(∥⊫$4888$))/($3497$⫡⨏$2300$)⩚⊴⇥$1807$⋓$6330$)⨳⩥⨓(⫛⫱⨽(($1999$*$2219$)⊭∹↮))","expression":"((∂(∥⊫≮⫘↔1001100011000))/(≮⫘↔110110101001⫡⨏≮⫘↔100011111100)⩚⊴⇥≮⫘↔11100001111⋓≮⫘↔1100010111010)⨳⩥⨓(⫛⫱⨽((≮⫘↔11111001111*≮⫘↔100010101011)⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3459,"operation_count":10,"complexity_ratio":345.9,"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":4888,"base":2}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3497,"base":2},"right_expr":{"type":"numeric_atoms","value":2300,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1807,"base":2},"right_expr":{"type":"numeric_atoms","value":6330,"base":2}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1999,"base":2},"right_expr":{"type":"numeric_atoms","value":2219,"base":2}}}}},"used_operators":["nCS4ZIUYfx","XhwjNDsVaA","Uaa54Peajs","P8v4zCKN1o","NTOWxs364D","QMFrweE19q","T2fj7uvVaJ","DlLNRPXxWL","xNBdhnnwKq","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4888","layer":4},{"info":"compute unary expreesion, input=4888, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5756","layer":3},{"info":"compute unary expreesion, input=5756, 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=3497","layer":4},{"info":"number node, value=2300","layer":4},{"info":"compute binary expreesion, left_input=3497, right_input=2300, 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=22868","layer":3},{"info":"number node, value=1807","layer":4},{"info":"number node, value=6330","layer":4},{"info":"compute binary expreesion, left_input=1807, right_input=6330, 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=22868, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-22989","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-22989, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1999","layer":4},{"info":"number node, value=2219","layer":4},{"info":"compute binary expreesion, left_input=1999, right_input=2219, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4435781","layer":3},{"info":"compute unary expreesion, input=4435781, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=8871562","layer":2},{"info":"compute unary expreesion, input=8871562, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((∂(∥⊫≮⫘↔1001100011000))/(≮⫘↔110110101001⫡⨏≮⫘↔100011111100)⩚⊴⇥≮⫘↔11100001111⋓≮⫘↔1100010111010)⨳⩥⨓(⫛⫱⨽((≮⫘↔11111001111*≮⫘↔100010101011)⊭∹↮))=NaN","reverse_text":"NaN=((∂(∥⊫≮⫘↔1001100011000))/(≮⫘↔110110101001⫡⨏≮⫘↔100011111100)⩚⊴⇥≮⫘↔11100001111⋓≮⫘↔1100010111010)⨳⩥⨓(⫛⫱⨽((≮⫘↔11111001111*≮⫘↔100010101011)⊭∹↮))","cot":[{"info":"∥⊫≮⫘↔1001100011000=≮⫘↔1011001111100","layer":3},{"info":"∂≮⫘↔1011001111100=NaN","layer":2},{"info":"≮⫘↔110110101001⫡⨏≮⫘↔100011111100=≮⫘↔101100101010100","layer":3},{"info":"≮⫘↔11100001111⋓≮⫘↔1100010111010=≮⫘↔0","layer":3},{"info":"≮⫘↔101100101010100⩚⊴⇥≮⫘↔0=≮⫘↔-101100111001101","layer":2},{"info":"NaN/≮⫘↔-101100111001101=NaN","layer":1},{"info":"≮⫘↔11111001111*≮⫘↔100010101011=≮⫘↔10000111010111101000101","layer":3},{"info":"≮⫘↔10000111010111101000101⊭∹↮=≮⫘↔100001110101111010001010","layer":2},{"info":"⫛⫱⨽≮⫘↔100001110101111010001010=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":291,"expression_no_base_symbol":"(($5496$⪄$4974$)⪮%⊝($4604$⇷$1484$)⊉≛↸($2012$≭$5022$)∀⇚≩(+⊝⨔$1365$))⊭∹↮","expression":"((≮⫘↔1010101111000⪄≮⫘↔1001101101110)⪮%⊝(≮⫘↔1000111111100⇷≮⫘↔10111001100)⊉≛↸(≮⫘↔11111011100≭≮⫘↔1001110011110)∀⇚≩(+⊝⨔≮⫘↔10101010101))⊭∹↮","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":64618,"operation_count":8,"complexity_ratio":8077.25,"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":5496,"base":2},"right_expr":{"type":"numeric_atoms","value":4974,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4604,"base":2},"right_expr":{"type":"numeric_atoms","value":1484,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2012,"base":2},"right_expr":{"type":"numeric_atoms","value":5022,"base":2}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1365,"base":2}}}}},"used_operators":["xNBdhnnwKq","DZ8iAZOCBD","IWmyXbctLI","SUmda5xLS4","mp7IySMOzn","LRNGc0VcxI","rxpJgHHUmx","DhbWaqg5eL"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5496","layer":4},{"info":"number node, value=4974","layer":4},{"info":"compute binary expreesion, left_input=5496, right_input=4974, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-829393","layer":3},{"info":"number node, value=4604","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=4604, right_input=1484, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2968","layer":3},{"info":"compute binary expreesion, left_input=-829393, right_input=2968, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-1658470","layer":2},{"info":"number node, value=2012","layer":4},{"info":"number node, value=5022","layer":4},{"info":"compute binary expreesion, left_input=2012, right_input=5022, 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=1365","layer":4},{"info":"compute unary expreesion, input=1365, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = 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=-1658470, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010101111000⪄≮⫘↔1001101101110)⪮%⊝(≮⫘↔1000111111100⇷≮⫘↔10111001100)⊉≛↸(≮⫘↔11111011100≭≮⫘↔1001110011110)∀⇚≩(+⊝⨔≮⫘↔10101010101))⊭∹↮=NaN","reverse_text":"NaN=((≮⫘↔1010101111000⪄≮⫘↔1001101101110)⪮%⊝(≮⫘↔1000111111100⇷≮⫘↔10111001100)⊉≛↸(≮⫘↔11111011100≭≮⫘↔1001110011110)∀⇚≩(+⊝⨔≮⫘↔10101010101))⊭∹↮","cot":[{"info":"≮⫘↔1010101111000⪄≮⫘↔1001101101110=≮⫘↔-11001010011111010001","layer":3},{"info":"≮⫘↔1000111111100⇷≮⫘↔10111001100=≮⫘↔101110011000","layer":3},{"info":"≮⫘↔-11001010011111010001⪮%⊝≮⫘↔101110011000=≮⫘↔-110010100111001100110","layer":2},{"info":"≮⫘↔11111011100≭≮⫘↔1001110011110=NaN","layer":3},{"info":"+⊝⨔≮⫘↔10101010101=≮⫘↔10111110010","layer":3},{"info":"NaN∀⇚≩≮⫘↔10111110010=NaN","layer":2},{"info":"≮⫘↔-110010100111001100110⊉≛↸NaN=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":292,"expression_no_base_symbol":"↥($1075$⪘⫢$2405$⨳⩥⨓(≦∁$2606$))⨰((∂$1605$)↪⪝)","expression":"↥(≮⫘↔10000110011⪘⫢≮⫘↔100101100101⨳⩥⨓(≦∁≮⫘↔101000101110))⨰((∂≮⫘↔11001000101)↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":32,"operation_count":7,"complexity_ratio":4.571428571428571,"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":1075,"base":2},"right_expr":{"type":"numeric_atoms","value":2405,"base":2}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2606,"base":2}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1605,"base":2}}}}},"used_operators":["A8NUZmVepG","eewbuw0ToL","nCS4ZIUYfx","oacrs7FA3X","9ICcGScMcE","l07mrZUIn9","Uaa54Peajs"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1075","layer":4},{"info":"number node, value=2405","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=2405, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2026","layer":3},{"info":"number node, value=2606","layer":4},{"info":"compute unary expreesion, input=2606, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2606","layer":3},{"info":"compute binary expreesion, left_input=2026, right_input=2606, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=580","layer":2},{"info":"number node, value=1605","layer":4},{"info":"compute unary expreesion, input=1605, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=580, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↥(≮⫘↔10000110011⪘⫢≮⫘↔100101100101⨳⩥⨓(≦∁≮⫘↔101000101110))⨰((∂≮⫘↔11001000101)↪⪝)=NaN","reverse_text":"NaN=↥(≮⫘↔10000110011⪘⫢≮⫘↔100101100101⨳⩥⨓(≦∁≮⫘↔101000101110))⨰((∂≮⫘↔11001000101)↪⪝)","cot":[{"info":"≮⫘↔10000110011⪘⫢≮⫘↔100101100101=≮⫘↔11111101010","layer":3},{"info":"≦∁≮⫘↔101000101110=≮⫘↔101000101110","layer":3},{"info":"≮⫘↔11111101010⨳⩥⨓≮⫘↔101000101110=≮⫘↔1001000100","layer":2},{"info":"∂≮⫘↔11001000101=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"≮⫘↔1001000100⨰NaN=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":293,"expression_no_base_symbol":"($5789$⩨$3205$)⨰($3922$↙$1028$)⪨≂($3771$⫸⊐$2374$)↺(≤/$3335$)⪨≂((⨑⩽⪐(↥$3721$))∸)","expression":"(≮⫘↔1011010011101⩨≮⫘↔110010000101)⨰(≮⫘↔111101010010↙≮⫘↔10000000100)⪨≂(≮⫘↔111010111011⫸⊐≮⫘↔100101000110)↺(≤/≮⫘↔110100000111)⪨≂((⨑⩽⪐(↥≮⫘↔111010001001))∸)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1331,"operation_count":11,"complexity_ratio":121.0,"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":5789,"base":2},"right_expr":{"type":"numeric_atoms","value":3205,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3922,"base":2},"right_expr":{"type":"numeric_atoms","value":1028,"base":2}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3771,"base":2},"right_expr":{"type":"numeric_atoms","value":2374,"base":2}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3335,"base":2}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3721,"base":2}}}}},"used_operators":["sdazOOVcIp","eewbuw0ToL","2DlMacCsIx","yyfyN0ffXY","7j4O788W3g","mqXw5SEYmG","eLAdDNolq6","o20kRiQErp","AF7qkfDlqP","A8NUZmVepG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","k8jYdgA6NY"],"result":"≮⫘↔101110010110100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5789","layer":4},{"info":"number node, value=3205","layer":4},{"info":"compute binary expreesion, left_input=5789, right_input=3205, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=3922","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=3922, right_input=1028, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3084","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3084, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3094","layer":2},{"info":"number node, value=3771","layer":4},{"info":"number node, value=2374","layer":4},{"info":"compute binary expreesion, left_input=3771, right_input=2374, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9371","layer":3},{"info":"number node, value=3335","layer":4},{"info":"compute unary expreesion, input=3335, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2851","layer":3},{"info":"compute binary expreesion, left_input=9371, right_input=-2851, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-2851","layer":2},{"info":"compute binary expreesion, left_input=3094, right_input=-2851, 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=11992","layer":1},{"info":"number node, value=3721","layer":4},{"info":"compute unary expreesion, input=3721, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=49","layer":3},{"info":"compute unary expreesion, input=49, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=224","layer":2},{"info":"compute unary expreesion, input=224, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=11992, right_input=177, 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=23732","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1011010011101⩨≮⫘↔110010000101)⨰(≮⫘↔111101010010↙≮⫘↔10000000100)⪨≂(≮⫘↔111010111011⫸⊐≮⫘↔100101000110)↺(≤/≮⫘↔110100000111)⪨≂((⨑⩽⪐(↥≮⫘↔111010001001))∸)=≮⫘↔101110010110100","reverse_text":"≮⫘↔101110010110100=(≮⫘↔1011010011101⩨≮⫘↔110010000101)⨰(≮⫘↔111101010010↙≮⫘↔10000000100)⪨≂(≮⫘↔111010111011⫸⊐≮⫘↔100101000110)↺(≤/≮⫘↔110100000111)⪨≂((⨑⩽⪐(↥≮⫘↔111010001001))∸)","cot":[{"info":"≮⫘↔1011010011101⩨≮⫘↔110010000101=≮⫘↔0","layer":3},{"info":"≮⫘↔111101010010↙≮⫘↔10000000100=≮⫘↔-110000001100","layer":3},{"info":"≮⫘↔0⨰≮⫘↔-110000001100=≮⫘↔110000010110","layer":2},{"info":"≮⫘↔111010111011⫸⊐≮⫘↔100101000110=≮⫘↔10010010011011","layer":3},{"info":"≤/≮⫘↔110100000111=≮⫘↔-101100100011","layer":3},{"info":"≮⫘↔10010010011011↺≮⫘↔-101100100011=≮⫘↔-101100100011","layer":2},{"info":"≮⫘↔110000010110⪨≂≮⫘↔-101100100011=≮⫘↔10111011011000","layer":1},{"info":"↥≮⫘↔111010001001=≮⫘↔110001","layer":3},{"info":"⨑⩽⪐≮⫘↔110001=≮⫘↔11100000","layer":2},{"info":"≮⫘↔11100000∸=≮⫘↔10110001","layer":1},{"info":"≮⫘↔10111011011000⪨≂≮⫘↔10110001=≮⫘↔101110010110100","layer":0}]}
{"id":294,"expression_no_base_symbol":"(($6654$⨪↰⇹$4549$⫡⨏$1093$⪛$1690$)*(+⊝⨔($1168$⨁⊸⫻)))⫸⊐($5704$-$1156$)⩷∴($2016$⫡⨏$1138$)⫸⊐$3034$↬$1410$⨽($6456$⪠⩆⊳)","expression":"((≮⫘↔1100111111110⨪↰⇹≮⫘↔1000111000101⫡⨏≮⫘↔10001000101⪛≮⫘↔11010011010)*(+⊝⨔(≮⫘↔10010010000⨁⊸⫻)))⫸⊐(≮⫘↔1011001001000-≮⫘↔10010000100)⩷∴(≮⫘↔11111100000⫡⨏≮⫘↔10001110010)⫸⊐≮⫘↔101111011010↬≮⫘↔10110000010⨽(≮⫘↔1100100111000⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8287,"operation_count":14,"complexity_ratio":591.9285714285714,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6654,"base":2},"right_expr":{"type":"numeric_atoms","value":4549,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1093,"base":2},"right_expr":{"type":"numeric_atoms","value":1690,"base":2}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1168,"base":2}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5704,"base":2},"right_expr":{"type":"numeric_atoms","value":1156,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2016,"base":2},"right_expr":{"type":"numeric_atoms","value":1138,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3034,"base":2},"right_expr":{"type":"numeric_atoms","value":1410,"base":2}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":6456,"base":2}}}}},"used_operators":["mqXw5SEYmG","9HNa5Wba9A","QMFrweE19q","tmPS8pqC7x","uFcxV4UQCh","DhbWaqg5eL","glklzrTFfD","9FxExcQeMw","rysDP5nf3Z","8HhzD0ZcuI","B5M0gjZbta","JLbD19bQDL"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔111010100011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6654","layer":4},{"info":"number node, value=4549","layer":4},{"info":"compute binary expreesion, left_input=6654, right_input=4549, 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=6654","layer":3},{"info":"number node, value=1093","layer":4},{"info":"number node, value=1690","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=1690, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1093","layer":3},{"info":"compute binary expreesion, left_input=6654, right_input=1093, 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=36239","layer":2},{"info":"number node, value=1168","layer":4},{"info":"compute unary expreesion, input=1168, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1168","layer":3},{"info":"compute unary expreesion, input=1168, 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=36239, right_input=1522, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=55155758","layer":1},{"info":"number node, value=5704","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=5704, right_input=1156, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4548","layer":3},{"info":"number node, value=2016","layer":4},{"info":"number node, value=1138","layer":4},{"info":"compute binary expreesion, left_input=2016, right_input=1138, 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=13139","layer":3},{"info":"compute binary expreesion, left_input=4548, right_input=13139, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-17214","layer":2},{"info":"number node, value=3034","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=3034, right_input=1410, 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=6456","layer":4},{"info":"compute unary expreesion, input=6456, 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=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=-17214, 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":"compute binary expreesion, left_input=55155758, right_input=968, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=3747","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1100111111110⨪↰⇹≮⫘↔1000111000101⫡⨏≮⫘↔10001000101⪛≮⫘↔11010011010)*(+⊝⨔(≮⫘↔10010010000⨁⊸⫻)))⫸⊐(≮⫘↔1011001001000-≮⫘↔10010000100)⩷∴(≮⫘↔11111100000⫡⨏≮⫘↔10001110010)⫸⊐≮⫘↔101111011010↬≮⫘↔10110000010⨽(≮⫘↔1100100111000⪠⩆⊳)=≮⫘↔111010100011","reverse_text":"≮⫘↔111010100011=((≮⫘↔1100111111110⨪↰⇹≮⫘↔1000111000101⫡⨏≮⫘↔10001000101⪛≮⫘↔11010011010)*(+⊝⨔(≮⫘↔10010010000⨁⊸⫻)))⫸⊐(≮⫘↔1011001001000-≮⫘↔10010000100)⩷∴(≮⫘↔11111100000⫡⨏≮⫘↔10001110010)⫸⊐≮⫘↔101111011010↬≮⫘↔10110000010⨽(≮⫘↔1100100111000⪠⩆⊳)","cot":[{"info":"≮⫘↔1100111111110⨪↰⇹≮⫘↔1000111000101=≮⫘↔1100111111110","layer":3},{"info":"≮⫘↔10001000101⪛≮⫘↔11010011010=≮⫘↔10001000101","layer":3},{"info":"≮⫘↔1100111111110⫡⨏≮⫘↔10001000101=≮⫘↔1000110110001111","layer":2},{"info":"≮⫘↔10010010000⨁⊸⫻=≮⫘↔10010010000","layer":3},{"info":"+⊝⨔≮⫘↔10010010000=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔1000110110001111*≮⫘↔10111110010=≮⫘↔11010010011001110000101110","layer":1},{"info":"≮⫘↔1011001001000-≮⫘↔10010000100=≮⫘↔1000111000100","layer":3},{"info":"≮⫘↔11111100000⫡⨏≮⫘↔10001110010=≮⫘↔11001101010011","layer":3},{"info":"≮⫘↔1000111000100⩷∴≮⫘↔11001101010011=≮⫘↔-100001100111110","layer":2},{"info":"≮⫘↔101111011010↬≮⫘↔10110000010=NaN","layer":3},{"info":"≮⫘↔1100100111000⪠⩆⊳=≮⫘↔0","layer":3},{"info":"NaN⨽≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔-100001100111110⫸⊐NaN=≮⫘↔1111001000","layer":1},{"info":"≮⫘↔11010010011001110000101110⫸⊐≮⫘↔1111001000=≮⫘↔111010100011","layer":0}]}
{"id":295,"expression_no_base_symbol":"(+⊝⨔($4394$⪛$1259$⩚⊴⇥($1357$⪒$1315$)))%(($1081$⊪)⨰($3824$≭$1070$))⨟⋌⩍((↣≠⋷$5084$)%$5182$⊴$2605$)","expression":"(+⊝⨔(≮⫘↔1000100101010⪛≮⫘↔10011101011⩚⊴⇥(≮⫘↔10101001101⪒≮⫘↔10100100011)))%((≮⫘↔10000111001⊪)⨰(≮⫘↔111011110000≭≮⫘↔10000101110))⨟⋌⩍((↣≠⋷≮⫘↔1001111011100)%≮⫘↔1010000111110⊴≮⫘↔101000101101)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5484,"operation_count":12,"complexity_ratio":457.0,"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":4394,"base":2},"right_expr":{"type":"numeric_atoms","value":1259,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1357,"base":2},"right_expr":{"type":"numeric_atoms","value":1315,"base":2}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1081,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3824,"base":2},"right_expr":{"type":"numeric_atoms","value":1070,"base":2}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5084,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5182,"base":2},"right_expr":{"type":"numeric_atoms","value":2605,"base":2}}}}},"used_operators":["k8jYdgA6NY","DhbWaqg5eL","NTOWxs364D","uFcxV4UQCh","f6k1SAg4EE","rGHVDoGpnC","eewbuw0ToL","zVYPLywUTj","rxpJgHHUmx","Asc51vEJeQ","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4394","layer":4},{"info":"number node, value=1259","layer":4},{"info":"compute binary expreesion, left_input=4394, right_input=1259, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=617","layer":3},{"info":"number node, value=1357","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=1315, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2672","layer":3},{"info":"compute binary expreesion, left_input=617, right_input=-2672, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=1934","layer":2},{"info":"compute unary expreesion, input=1934, 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=1081","layer":4},{"info":"compute unary expreesion, input=1081, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=3824","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=3824, right_input=1070, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=5084","layer":4},{"info":"compute unary expreesion, input=5084, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=5182","layer":4},{"info":"number node, value=2605","layer":4},{"info":"compute binary expreesion, left_input=5182, right_input=2605, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(+⊝⨔(≮⫘↔1000100101010⪛≮⫘↔10011101011⩚⊴⇥(≮⫘↔10101001101⪒≮⫘↔10100100011)))%((≮⫘↔10000111001⊪)⨰(≮⫘↔111011110000≭≮⫘↔10000101110))⨟⋌⩍((↣≠⋷≮⫘↔1001111011100)%≮⫘↔1010000111110⊴≮⫘↔101000101101)=NaN","reverse_text":"NaN=(+⊝⨔(≮⫘↔1000100101010⪛≮⫘↔10011101011⩚⊴⇥(≮⫘↔10101001101⪒≮⫘↔10100100011)))%((≮⫘↔10000111001⊪)⨰(≮⫘↔111011110000≭≮⫘↔10000101110))⨟⋌⩍((↣≠⋷≮⫘↔1001111011100)%≮⫘↔1010000111110⊴≮⫘↔101000101101)","cot":[{"info":"≮⫘↔1000100101010⪛≮⫘↔10011101011=≮⫘↔1001101001","layer":3},{"info":"≮⫘↔10101001101⪒≮⫘↔10100100011=≮⫘↔-101001110000","layer":3},{"info":"≮⫘↔1001101001⩚⊴⇥≮⫘↔-101001110000=≮⫘↔11110001110","layer":2},{"info":"+⊝⨔≮⫘↔11110001110=≮⫘↔10111110010","layer":1},{"info":"≮⫘↔10000111001⊪=≮⫘↔0","layer":3},{"info":"≮⫘↔111011110000≭≮⫘↔10000101110=NaN","layer":3},{"info":"≮⫘↔0⨰NaN=NaN","layer":2},{"info":"↣≠⋷≮⫘↔1001111011100=NaN","layer":3},{"info":"≮⫘↔1010000111110⊴≮⫘↔101000101101=NaN","layer":3},{"info":"NaN%NaN=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"≮⫘↔10111110010%NaN=NaN","layer":0}]}
{"id":296,"expression_no_base_symbol":"⋗⩬⋾($4082$⨓$2607$⩷∴($1367$⨎$1507$))↬($2703$⊴$7987$≋⫹)","expression":"⋗⩬⋾(≮⫘↔111111110010⨓≮⫘↔101000101111⩷∴(≮⫘↔10101010111⨎≮⫘↔10111100011))↬(≮⫘↔101010001111⊴≮⫘↔1111100110011≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10620,"operation_count":7,"complexity_ratio":1517.142857142857,"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":4082,"base":2},"right_expr":{"type":"numeric_atoms","value":2607,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1367,"base":2},"right_expr":{"type":"numeric_atoms","value":1507,"base":2}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2703,"base":2},"right_expr":{"type":"numeric_atoms","value":7987,"base":2}}}}},"used_operators":["DpFCA1CohY","B5M0gjZbta","9FxExcQeMw","3ViojmjbAp","rJVOvQCfKK","N41Kp7NANJ","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4082","layer":4},{"info":"number node, value=2607","layer":4},{"info":"compute binary expreesion, left_input=4082, right_input=2607, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2610","layer":3},{"info":"number node, value=1367","layer":4},{"info":"number node, value=1507","layer":4},{"info":"compute binary expreesion, left_input=1367, right_input=1507, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1507","layer":3},{"info":"compute binary expreesion, left_input=-2610, right_input=1507, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-8266","layer":2},{"info":"number node, value=2703","layer":4},{"info":"number node, value=7987","layer":4},{"info":"compute binary expreesion, left_input=2703, right_input=7987, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-8266, 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 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":0}],"base":2,"result_base":2,"text":"⋗⩬⋾(≮⫘↔111111110010⨓≮⫘↔101000101111⩷∴(≮⫘↔10101010111⨎≮⫘↔10111100011))↬(≮⫘↔101010001111⊴≮⫘↔1111100110011≋⫹)=NaN","reverse_text":"NaN=⋗⩬⋾(≮⫘↔111111110010⨓≮⫘↔101000101111⩷∴(≮⫘↔10101010111⨎≮⫘↔10111100011))↬(≮⫘↔101010001111⊴≮⫘↔1111100110011≋⫹)","cot":[{"info":"≮⫘↔111111110010⨓≮⫘↔101000101111=≮⫘↔-101000110010","layer":3},{"info":"≮⫘↔10101010111⨎≮⫘↔10111100011=≮⫘↔10111100011","layer":3},{"info":"≮⫘↔-101000110010⩷∴≮⫘↔10111100011=≮⫘↔-10000001001010","layer":2},{"info":"≮⫘↔101010001111⊴≮⫘↔1111100110011=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"≮⫘↔-10000001001010↬NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":297,"expression_no_base_symbol":"($3688$⋫)↬$1201$↬$3880$↺(↽≂($2123$⨁⊸⫻))⪒(+⊝⨔($1488$⪒$8888$))⨸⪁$1249$⪢$3196$⋓(⨑⩽⪐$1711$)","expression":"(≮⫘↔111001101000⋫)↬≮⫘↔10010110001↬≮⫘↔111100101000↺(↽≂(≮⫘↔100001001011⨁⊸⫻))⪒(+⊝⨔(≮⫘↔10111010000⪒≮⫘↔10001010111000))⨸⪁≮⫘↔10011100001⪢≮⫘↔110001111100⋓(⨑⩽⪐≮⫘↔11010101111)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6938,"operation_count":13,"complexity_ratio":533.6923076923077,"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":3688,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1201,"base":2},"right_expr":{"type":"numeric_atoms","value":3880,"base":2}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2123,"base":2}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1488,"base":2},"right_expr":{"type":"numeric_atoms","value":8888,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1249,"base":2},"right_expr":{"type":"numeric_atoms","value":3196,"base":2}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1711,"base":2}}}}},"used_operators":["f6k1SAg4EE","7j4O788W3g","B5M0gjZbta","JL8yIekQnl","u6S6b8DprG","glklzrTFfD","g55IO6H4Gj","DhbWaqg5eL","T2fj7uvVaJ","dWAJyo7jo9","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"≮⫘↔10010110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3688","layer":4},{"info":"compute unary expreesion, input=3688, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3688","layer":3},{"info":"number node, value=1201","layer":4},{"info":"number node, value=3880","layer":4},{"info":"compute binary expreesion, left_input=1201, right_input=3880, 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=3688, 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":2},{"info":"number node, value=2123","layer":4},{"info":"compute unary expreesion, input=2123, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2123","layer":3},{"info":"compute unary expreesion, input=2123, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4246","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4246, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-4246","layer":1},{"info":"number node, value=1488","layer":4},{"info":"number node, value=8888","layer":4},{"info":"compute binary expreesion, left_input=1488, right_input=8888, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10376","layer":3},{"info":"compute unary expreesion, input=-10376, 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=1249","layer":4},{"info":"number node, value=3196","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=3196, 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=1711","layer":4},{"info":"compute unary expreesion, input=1711, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1438","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1438, 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=1522, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=3044","layer":1},{"info":"compute binary expreesion, left_input=-4246, right_input=3044, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1202","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔111001101000⋫)↬≮⫘↔10010110001↬≮⫘↔111100101000↺(↽≂(≮⫘↔100001001011⨁⊸⫻))⪒(+⊝⨔(≮⫘↔10111010000⪒≮⫘↔10001010111000))⨸⪁≮⫘↔10011100001⪢≮⫘↔110001111100⋓(⨑⩽⪐≮⫘↔11010101111)=≮⫘↔10010110010","reverse_text":"≮⫘↔10010110010=(≮⫘↔111001101000⋫)↬≮⫘↔10010110001↬≮⫘↔111100101000↺(↽≂(≮⫘↔100001001011⨁⊸⫻))⪒(+⊝⨔(≮⫘↔10111010000⪒≮⫘↔10001010111000))⨸⪁≮⫘↔10011100001⪢≮⫘↔110001111100⋓(⨑⩽⪐≮⫘↔11010101111)","cot":[{"info":"≮⫘↔111001101000⋫=≮⫘↔111001101000","layer":3},{"info":"≮⫘↔10010110001↬≮⫘↔111100101000=NaN","layer":3},{"info":"≮⫘↔111001101000↬NaN=NaN","layer":2},{"info":"≮⫘↔100001001011⨁⊸⫻=≮⫘↔100001001011","layer":3},{"info":"↽≂≮⫘↔100001001011=≮⫘↔-1000010010110","layer":2},{"info":"NaN↺≮⫘↔-1000010010110=≮⫘↔-1000010010110","layer":1},{"info":"≮⫘↔10111010000⪒≮⫘↔10001010111000=≮⫘↔-10100010001000","layer":3},{"info":"+⊝⨔≮⫘↔-10100010001000=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔10011100001⪢≮⫘↔110001111100=NaN","layer":3},{"info":"⨑⩽⪐≮⫘↔11010101111=≮⫘↔-10110011110","layer":3},{"info":"NaN⋓≮⫘↔-10110011110=≮⫘↔0","layer":2},{"info":"≮⫘↔10111110010⨸⪁≮⫘↔0=≮⫘↔101111100100","layer":1},{"info":"≮⫘↔-1000010010110⪒≮⫘↔101111100100=≮⫘↔10010110010","layer":0}]}
{"id":298,"expression_no_base_symbol":"(($1000$↺$4717$≋⫹)⨵⪆(⪝⪂⫅$3847$)⪘⫢($2389$⪨≂$2390$))%(≉$2388$)⋥≓≎($1730$/$1718$)⪒(⫓⪴$2319$)*(∥⊫$3414$)","expression":"((≮⫘↔1111101000↺≮⫘↔1001001101101≋⫹)⨵⪆(⪝⪂⫅≮⫘↔111100000111)⪘⫢(≮⫘↔100101010101⪨≂≮⫘↔100101010110))%(≉≮⫘↔100101010100)⋥≓≎(≮⫘↔11011000010/≮⫘↔11010110110)⪒(⫓⪴≮⫘↔100100001111)*(∥⊫≮⫘↔110101010110)","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6786,"operation_count":14,"complexity_ratio":484.7142857142857,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1000,"base":2},"right_expr":{"type":"numeric_atoms","value":4717,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3847,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2389,"base":2},"right_expr":{"type":"numeric_atoms","value":2390,"base":2}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2388,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1730,"base":2},"right_expr":{"type":"numeric_atoms","value":1718,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2319,"base":2}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3414,"base":2}}}}},"used_operators":["k8jYdgA6NY","2DQ55sFlQl","N41Kp7NANJ","7j4O788W3g","oacrs7FA3X","XTarYq4gQB","sdazOOVcIp","f6k1SAg4EE","Qy55tPpLXF","e1ybzncUwg","XhwjNDsVaA","9HNa5Wba9A","eLxqMNBOBk","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"-Inf","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":4},{"info":"number node, value=4717","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=4717, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4717","layer":3},{"info":"compute unary expreesion, input=4717, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-9434","layer":2},{"info":"number node, value=3847","layer":4},{"info":"compute unary expreesion, input=3847, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-565509","layer":3},{"info":"number node, value=2389","layer":4},{"info":"number node, value=2390","layer":4},{"info":"compute binary expreesion, left_input=2389, right_input=2390, 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=100","layer":3},{"info":"compute binary expreesion, left_input=-565509, right_input=100, 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=-9434, right_input=-1, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2388","layer":4},{"info":"compute unary expreesion, input=2388, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2919","layer":3},{"info":"number node, value=1730","layer":4},{"info":"number node, value=1718","layer":4},{"info":"compute binary expreesion, left_input=1730, right_input=1718, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=2919, right_input=1, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2884","layer":2},{"info":"number node, value=2319","layer":4},{"info":"compute unary expreesion, input=2319, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=5377761","layer":3},{"info":"number node, value=3414","layer":4},{"info":"compute unary expreesion, input=3414, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4282","layer":3},{"info":"compute binary expreesion, left_input=5377761, right_input=4282, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=inf","layer":2},{"info":"compute binary expreesion, left_input=-2884, right_input=inf, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-inf, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-inf","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1111101000↺≮⫘↔1001001101101≋⫹)⨵⪆(⪝⪂⫅≮⫘↔111100000111)⪘⫢(≮⫘↔100101010101⪨≂≮⫘↔100101010110))%(≉≮⫘↔100101010100)⋥≓≎(≮⫘↔11011000010/≮⫘↔11010110110)⪒(⫓⪴≮⫘↔100100001111)*(∥⊫≮⫘↔110101010110)=-Inf","reverse_text":"-Inf=((≮⫘↔1111101000↺≮⫘↔1001001101101≋⫹)⨵⪆(⪝⪂⫅≮⫘↔111100000111)⪘⫢(≮⫘↔100101010101⪨≂≮⫘↔100101010110))%(≉≮⫘↔100101010100)⋥≓≎(≮⫘↔11011000010/≮⫘↔11010110110)⪒(⫓⪴≮⫘↔100100001111)*(∥⊫≮⫘↔110101010110)","cot":[{"info":"≮⫘↔1111101000↺≮⫘↔1001001101101=≮⫘↔1001001101101","layer":3},{"info":"≮⫘↔1001001101101≋⫹=≮⫘↔-10010011011010","layer":2},{"info":"⪝⪂⫅≮⫘↔111100000111=≮⫘↔-10001010000100000101","layer":3},{"info":"≮⫘↔100101010101⪨≂≮⫘↔100101010110=≮⫘↔1100100","layer":3},{"info":"≮⫘↔-10001010000100000101⪘⫢≮⫘↔1100100=≮⫘↔-1","layer":2},{"info":"≮⫘↔-10010011011010⨵⪆≮⫘↔-1=≮⫘↔10100000","layer":1},{"info":"≉≮⫘↔100101010100=≮⫘↔101101100111","layer":3},{"info":"≮⫘↔11011000010/≮⫘↔11010110110=≮⫘↔1","layer":3},{"info":"≮⫘↔101101100111⋥≓≎≮⫘↔1=≮⫘↔-101101000100","layer":2},{"info":"⫓⪴≮⫘↔100100001111=≮⫘↔10100100000111011100001","layer":3},{"info":"∥⊫≮⫘↔110101010110=≮⫘↔1000010111010","layer":3},{"info":"≮⫘↔10100100000111011100001*≮⫘↔1000010111010=Inf","layer":2},{"info":"≮⫘↔-101101000100⪒Inf=-Inf","layer":1},{"info":"≮⫘↔10100000%-Inf=-Inf","layer":0}]}
{"id":299,"expression_no_base_symbol":"((≤/($1756$⪐))⋫)/(⪝⪂⫅$3514$)⨽($1568$≦≮≮)↺((⊥$1529$)⋷$1921$∼$1001$)","expression":"((≤/(≮⫘↔11011011100⪐))⋫)/(⪝⪂⫅≮⫘↔110110111010)⨽(≮⫘↔11000100000≦≮≮)↺((⊥≮⫘↔10111111001)⋷≮⫘↔11110000001∼≮⫘↔1111101001)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":519796,"operation_count":11,"complexity_ratio":47254.181818181816,"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":1756,"base":2}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3514,"base":2}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1568,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1529,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1921,"base":2},"right_expr":{"type":"numeric_atoms","value":1001,"base":2}}}}},"used_operators":["XhwjNDsVaA","JL8yIekQnl","eLAdDNolq6","eH2TOUuTDT","7j4O788W3g","8HhzD0ZcuI","XTarYq4gQB","D4vGDi5EA2","23Mk6UjR3U","Q3PJZHRvZv","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1756","layer":4},{"info":"compute unary expreesion, input=1756, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3512","layer":3},{"info":"compute unary expreesion, input=3512, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3028","layer":2},{"info":"compute unary expreesion, input=-3028, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-3028","layer":1},{"info":"number node, value=3514","layer":4},{"info":"compute unary expreesion, input=3514, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-516558","layer":3},{"info":"number node, value=1568","layer":4},{"info":"compute unary expreesion, input=1568, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4704","layer":3},{"info":"compute binary expreesion, left_input=-516558, right_input=-4704, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"number node, value=1529","layer":4},{"info":"compute unary expreesion, input=1529, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1921","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=1921, right_input=1001, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=-inf, 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 binary expreesion, left_input=-3028, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≤/(≮⫘↔11011011100⪐))⋫)/(⪝⪂⫅≮⫘↔110110111010)⨽(≮⫘↔11000100000≦≮≮)↺((⊥≮⫘↔10111111001)⋷≮⫘↔11110000001∼≮⫘↔1111101001)=NaN","reverse_text":"NaN=((≤/(≮⫘↔11011011100⪐))⋫)/(⪝⪂⫅≮⫘↔110110111010)⨽(≮⫘↔11000100000≦≮≮)↺((⊥≮⫘↔10111111001)⋷≮⫘↔11110000001∼≮⫘↔1111101001)","cot":[{"info":"≮⫘↔11011011100⪐=≮⫘↔110110111000","layer":3},{"info":"≤/≮⫘↔110110111000=≮⫘↔-101111010100","layer":2},{"info":"≮⫘↔-101111010100⋫=≮⫘↔-101111010100","layer":1},{"info":"⪝⪂⫅≮⫘↔110110111010=≮⫘↔-1111110000111001110","layer":3},{"info":"≮⫘↔11000100000≦≮≮=≮⫘↔-1001001100000","layer":3},{"info":"≮⫘↔-1111110000111001110⨽≮⫘↔-1001001100000=-Inf","layer":2},{"info":"⊥≮⫘↔10111111001=NaN","layer":3},{"info":"≮⫘↔11110000001∼≮⫘↔1111101001=NaN","layer":3},{"info":"NaN⋷NaN=NaN","layer":2},{"info":"-Inf↺NaN=NaN","layer":1},{"info":"≮⫘↔-101111010100/NaN=NaN","layer":0}]}
{"id":300,"expression_no_base_symbol":"(↩(↔$1928$)⋝⋈⪟$2578$≹⇙⪍$5025$)⋓((↯⪼($1437$⇷$2515$))≦≮≮)","expression":"(↩(↔≮⫘↔11110001000)⋝⋈⪟≮⫘↔101000010010≹⇙⪍≮⫘↔1001110100001)⋓((↯⪼(≮⫘↔10110011101⇷≮⫘↔100111010011))≦≮≮)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":20201,"operation_count":8,"complexity_ratio":2525.125,"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":1928,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2578,"base":2},"right_expr":{"type":"numeric_atoms","value":5025,"base":2}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1437,"base":2},"right_expr":{"type":"numeric_atoms","value":2515,"base":2}}}}},"used_operators":["T2fj7uvVaJ","jLgFTUHLKL","2DDjHMKMc0","ruOEQAzv1W","AHs5Up7iyr","D4vGDi5EA2","8jW3W4yZS5","mp7IySMOzn"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1928","layer":4},{"info":"compute unary expreesion, input=1928, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1655","layer":3},{"info":"number node, value=2578","layer":4},{"info":"number node, value=5025","layer":4},{"info":"compute binary expreesion, left_input=2578, right_input=5025, 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=-1655, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', 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":"number node, value=1437","layer":4},{"info":"number node, value=2515","layer":4},{"info":"compute binary expreesion, left_input=1437, right_input=2515, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5030","layer":3},{"info":"compute unary expreesion, input=5030, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=63","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=63, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(↩(↔≮⫘↔11110001000)⋝⋈⪟≮⫘↔101000010010≹⇙⪍≮⫘↔1001110100001)⋓((↯⪼(≮⫘↔10110011101⇷≮⫘↔100111010011))≦≮≮)=≮⫘↔0","reverse_text":"≮⫘↔0=(↩(↔≮⫘↔11110001000)⋝⋈⪟≮⫘↔101000010010≹⇙⪍≮⫘↔1001110100001)⋓((↯⪼(≮⫘↔10110011101⇷≮⫘↔100111010011))≦≮≮)","cot":[{"info":"↔≮⫘↔11110001000=≮⫘↔-11001110111","layer":3},{"info":"≮⫘↔101000010010≹⇙⪍≮⫘↔1001110100001=NaN","layer":3},{"info":"≮⫘↔-11001110111⋝⋈⪟NaN=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"≮⫘↔10110011101⇷≮⫘↔100111010011=≮⫘↔1001110100110","layer":3},{"info":"↯⪼≮⫘↔1001110100110=≮⫘↔-10101","layer":2},{"info":"≮⫘↔-10101≦≮≮=≮⫘↔111111","layer":1},{"info":"NaN⋓≮⫘↔111111=≮⫘↔0","layer":0}]}
{"id":301,"expression_no_base_symbol":"((($1703$⨸⪁$7057$)⨐⩸⫘($1390$⨳⩥⨓$4045$))↬(($1361$⩨$4217$)⨽($2492$⫸⊐$1298$)))⪢((($5510$⪠⩆⊳)⨳⩥⨓(↔$3491$))⋓((⨰⫟⨤$1046$)⫡⨏($1152$⊦⊿)))","expression":"(((≮⫘↔11010100111⨸⪁≮⫘↔1101110010001)⨐⩸⫘(≮⫘↔10101101110⨳⩥⨓≮⫘↔111111001101))↬((≮⫘↔10101010001⩨≮⫘↔1000001111001)⨽(≮⫘↔100110111100⫸⊐≮⫘↔10100010010)))⪢(((≮⫘↔1010110000110⪠⩆⊳)⨳⩥⨓(↔≮⫘↔110110100011))⋓((⨰⫟⨤≮⫘↔10000010110)⫡⨏(≮⫘↔10010000000⊦⊿)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3443,"operation_count":15,"complexity_ratio":229.53333333333333,"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":1703,"base":2},"right_expr":{"type":"numeric_atoms","value":7057,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1390,"base":2},"right_expr":{"type":"numeric_atoms","value":4045,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1361,"base":2},"right_expr":{"type":"numeric_atoms","value":4217,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2492,"base":2},"right_expr":{"type":"numeric_atoms","value":1298,"base":2}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5510,"base":2}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3491,"base":2}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1046,"base":2}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1152,"base":2}}}}},"used_operators":["dWAJyo7jo9","B5M0gjZbta","fu6greOZ01","g55IO6H4Gj","nCS4ZIUYfx","8HhzD0ZcuI","2DlMacCsIx","mqXw5SEYmG","T2fj7uvVaJ","JLbD19bQDL","ruOEQAzv1W","QMFrweE19q","Tw270M8GLb","14qkJME0vr"],"dependent_operators":["k8jYdgA6NY","rGHVDoGpnC","3ViojmjbAp","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1703","layer":4},{"info":"number node, value=7057","layer":4},{"info":"compute binary expreesion, left_input=1703, right_input=7057, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17520","layer":3},{"info":"number node, value=1390","layer":4},{"info":"number node, value=4045","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=4045, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2655","layer":3},{"info":"compute binary expreesion, left_input=17520, right_input=2655, 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=1361","layer":4},{"info":"number node, value=4217","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=4217, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"number node, value=2492","layer":4},{"info":"number node, value=1298","layer":4},{"info":"compute binary expreesion, left_input=2492, right_input=1298, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5067","layer":3},{"info":"compute binary expreesion, left_input=-9, right_input=5067, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-14130","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-14130, 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=5510","layer":4},{"info":"compute unary expreesion, input=5510, 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=3491","layer":4},{"info":"compute unary expreesion, input=3491, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3218","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3218, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3218","layer":2},{"info":"number node, value=1046","layer":4},{"info":"compute unary expreesion, input=1046, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1152","layer":4},{"info":"compute unary expreesion, input=1152, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3535","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3535, 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=-3218, 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":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":2,"result_base":2,"text":"(((≮⫘↔11010100111⨸⪁≮⫘↔1101110010001)⨐⩸⫘(≮⫘↔10101101110⨳⩥⨓≮⫘↔111111001101))↬((≮⫘↔10101010001⩨≮⫘↔1000001111001)⨽(≮⫘↔100110111100⫸⊐≮⫘↔10100010010)))⪢(((≮⫘↔1010110000110⪠⩆⊳)⨳⩥⨓(↔≮⫘↔110110100011))⋓((⨰⫟⨤≮⫘↔10000010110)⫡⨏(≮⫘↔10010000000⊦⊿)))=NaN","reverse_text":"NaN=(((≮⫘↔11010100111⨸⪁≮⫘↔1101110010001)⨐⩸⫘(≮⫘↔10101101110⨳⩥⨓≮⫘↔111111001101))↬((≮⫘↔10101010001⩨≮⫘↔1000001111001)⨽(≮⫘↔100110111100⫸⊐≮⫘↔10100010010)))⪢(((≮⫘↔1010110000110⪠⩆⊳)⨳⩥⨓(↔≮⫘↔110110100011))⋓((⨰⫟⨤≮⫘↔10000010110)⫡⨏(≮⫘↔10010000000⊦⊿)))","cot":[{"info":"≮⫘↔11010100111⨸⪁≮⫘↔1101110010001=≮⫘↔100010001110000","layer":3},{"info":"≮⫘↔10101101110⨳⩥⨓≮⫘↔111111001101=≮⫘↔101001011111","layer":3},{"info":"≮⫘↔100010001110000⨐⩸⫘≮⫘↔101001011111=NaN","layer":2},{"info":"≮⫘↔10101010001⩨≮⫘↔1000001111001=≮⫘↔-1001","layer":3},{"info":"≮⫘↔100110111100⫸⊐≮⫘↔10100010010=≮⫘↔1001111001011","layer":3},{"info":"≮⫘↔-1001⨽≮⫘↔1001111001011=≮⫘↔-11011100110010","layer":2},{"info":"NaN↬≮⫘↔-11011100110010=NaN","layer":1},{"info":"≮⫘↔1010110000110⪠⩆⊳=≮⫘↔0","layer":3},{"info":"↔≮⫘↔110110100011=≮⫘↔-110010010010","layer":3},{"info":"≮⫘↔0⨳⩥⨓≮⫘↔-110010010010=≮⫘↔-110010010010","layer":2},{"info":"⨰⫟⨤≮⫘↔10000010110=NaN","layer":3},{"info":"≮⫘↔10010000000⊦⊿=≮⫘↔-110111001111","layer":3},{"info":"NaN⫡⨏≮⫘↔-110111001111=NaN","layer":2},{"info":"≮⫘↔-110010010010⋓NaN=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":302,"expression_no_base_symbol":"⫓⪴(-(⊄⩳↩$3176$)∀⇚≩(⊥$5868$))","expression":"⫓⪴(-(⊄⩳↩≮⫘↔110001101000)∀⇚≩(⊥≮⫘↔1011011101100))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":66702,"operation_count":5,"complexity_ratio":13340.4,"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":3176,"base":2}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5868,"base":2}}}}},"used_operators":["eLxqMNBOBk","t8gj7n24qd","LRNGc0VcxI","8w2t5hMYqp","Q3PJZHRvZv"],"dependent_operators":["9HNa5Wba9A","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3176","layer":4},{"info":"compute unary expreesion, input=3176, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9528","layer":3},{"info":"number node, value=5868","layer":4},{"info":"compute unary expreesion, input=5868, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-9528, 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⫓⪴(-(⊄⩳↩≮⫘↔110001101000)∀⇚≩(⊥≮⫘↔1011011101100))=NaN","reverse_text":"NaN=⫓⪴(-(⊄⩳↩≮⫘↔110001101000)∀⇚≩(⊥≮⫘↔1011011101100))","cot":[{"info":"⊄⩳↩≮⫘↔110001101000=≮⫘↔-10010100111000","layer":3},{"info":"⊥≮⫘↔1011011101100=NaN","layer":3},{"info":"≮⫘↔-10010100111000∀⇚≩NaN=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":303,"expression_no_base_symbol":"(($3727$⊭↱$1244$⪨≂$3139$↺$1856$)≫≃)≭(⋗⩬⋾(($1734$⊠≄⫣)⨸⪁($7901$%$2299$)))","expression":"((≮⫘↔111010001111⊭↱≮⫘↔10011011100⪨≂≮⫘↔110001000011↺≮⫘↔11101000000)≫≃)≭(⋗⩬⋾((≮⫘↔11011000110⊠≄⫣)⨸⪁(≮⫘↔1111011011101%≮⫘↔100011111011)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":33,"operation_count":9,"complexity_ratio":3.6666666666666665,"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":3727,"base":2},"right_expr":{"type":"numeric_atoms","value":1244,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3139,"base":2},"right_expr":{"type":"numeric_atoms","value":1856,"base":2}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1734,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7901,"base":2},"right_expr":{"type":"numeric_atoms","value":2299,"base":2}}}}},"used_operators":["rxpJgHHUmx","X99M06cbEe","sdazOOVcIp","COABgblf1C","7j4O788W3g","DpFCA1CohY","g55IO6H4Gj","DIvbN7qnHd","k8jYdgA6NY"],"dependent_operators":["AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3727","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=3727, right_input=1244, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4961","layer":3},{"info":"number node, value=3139","layer":4},{"info":"number node, value=1856","layer":4},{"info":"compute binary expreesion, left_input=3139, right_input=1856, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1856","layer":3},{"info":"compute binary expreesion, left_input=-4961, right_input=1856, 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=-13532","layer":2},{"info":"compute unary expreesion, input=-13532, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-25663","layer":1},{"info":"number node, value=1734","layer":4},{"info":"compute unary expreesion, input=1734, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=7901","layer":4},{"info":"number node, value=2299","layer":4},{"info":"compute binary expreesion, left_input=7901, right_input=2299, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1004","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1004, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=2008","layer":2},{"info":"compute unary expreesion, input=2008, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6024","layer":1},{"info":"compute binary expreesion, left_input=-25663, right_input=-6024, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111010001111⊭↱≮⫘↔10011011100⪨≂≮⫘↔110001000011↺≮⫘↔11101000000)≫≃)≭(⋗⩬⋾((≮⫘↔11011000110⊠≄⫣)⨸⪁(≮⫘↔1111011011101%≮⫘↔100011111011)))=NaN","reverse_text":"NaN=((≮⫘↔111010001111⊭↱≮⫘↔10011011100⪨≂≮⫘↔110001000011↺≮⫘↔11101000000)≫≃)≭(⋗⩬⋾((≮⫘↔11011000110⊠≄⫣)⨸⪁(≮⫘↔1111011011101%≮⫘↔100011111011)))","cot":[{"info":"≮⫘↔111010001111⊭↱≮⫘↔10011011100=≮⫘↔-1001101100001","layer":3},{"info":"≮⫘↔110001000011↺≮⫘↔11101000000=≮⫘↔11101000000","layer":3},{"info":"≮⫘↔-1001101100001⪨≂≮⫘↔11101000000=≮⫘↔-11010011011100","layer":2},{"info":"≮⫘↔-11010011011100≫≃=≮⫘↔-110010000111111","layer":1},{"info":"≮⫘↔11011000110⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔1111011011101%≮⫘↔100011111011=≮⫘↔1111101100","layer":3},{"info":"≮⫘↔0⨸⪁≮⫘↔1111101100=≮⫘↔11111011000","layer":2},{"info":"⋗⩬⋾≮⫘↔11111011000=≮⫘↔-1011110001000","layer":1},{"info":"≮⫘↔-110010000111111≭≮⫘↔-1011110001000=NaN","layer":0}]}
{"id":304,"expression_no_base_symbol":"↩(⨑⩽⪐((⊄⩳↩$4786$)⇼⇔∾$1275$⇷$1132$))","expression":"↩(⨑⩽⪐((⊄⩳↩≮⫘↔1001010110010)⇼⇔∾≮⫘↔10011111011⇷≮⫘↔10001101100))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":17885,"operation_count":5,"complexity_ratio":3577.0,"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":4786,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1275,"base":2},"right_expr":{"type":"numeric_atoms","value":1132,"base":2}}}}},"used_operators":["jLgFTUHLKL","AF7qkfDlqP","tifHPKVTfV","8w2t5hMYqp","mp7IySMOzn"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"≮⫘↔10000100110110000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4786","layer":4},{"info":"compute unary expreesion, input=4786, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-14358","layer":3},{"info":"number node, value=1275","layer":4},{"info":"number node, value=1132","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=1132, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2264","layer":3},{"info":"compute binary expreesion, left_input=-14358, right_input=2264, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=16622","layer":2},{"info":"compute unary expreesion, input=16622, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-16349","layer":1},{"info":"compute unary expreesion, input=-16349, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=68016","layer":0}],"base":2,"result_base":2,"text":"↩(⨑⩽⪐((⊄⩳↩≮⫘↔1001010110010)⇼⇔∾≮⫘↔10011111011⇷≮⫘↔10001101100))=≮⫘↔10000100110110000","reverse_text":"≮⫘↔10000100110110000=↩(⨑⩽⪐((⊄⩳↩≮⫘↔1001010110010)⇼⇔∾≮⫘↔10011111011⇷≮⫘↔10001101100))","cot":[{"info":"⊄⩳↩≮⫘↔1001010110010=≮⫘↔-11100000010110","layer":3},{"info":"≮⫘↔10011111011⇷≮⫘↔10001101100=≮⫘↔100011011000","layer":3},{"info":"≮⫘↔-11100000010110⇼⇔∾≮⫘↔100011011000=≮⫘↔100000011101110","layer":2},{"info":"⨑⩽⪐≮⫘↔100000011101110=≮⫘↔-11111111011101","layer":1},{"info":"↩≮⫘↔-11111111011101=≮⫘↔10000100110110000","layer":0}]}
{"id":305,"expression_no_base_symbol":"(($8190$⪄$1813$)⨳⩥⨓$1293$≎⊠⪸$2949$)≭$1706$⪮%⊝$1091$⋓($3147$⫡⨏$6139$)⫡⨏(($5952$⨽$1356$)∀⇚≩$9259$⪛$1533$⪨≂$7578$⋝⋈⪟$5125$⋝⋈⪟($2960$⋷$1175$))","expression":"((≮⫘↔1111111111110⪄≮⫘↔11100010101)⨳⩥⨓≮⫘↔10100001101≎⊠⪸≮⫘↔101110000101)≭≮⫘↔11010101010⪮%⊝≮⫘↔10001000011⋓(≮⫘↔110001001011⫡⨏≮⫘↔1011111111011)⫡⨏((≮⫘↔1011101000000⨽≮⫘↔10101001100)∀⇚≩≮⫘↔10010000101011⪛≮⫘↔10111111101⪨≂≮⫘↔1110110011010⋝⋈⪟≮⫘↔1010000000101⋝⋈⪟(≮⫘↔101110010000⋷≮⫘↔10010010111))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6390,"operation_count":15,"complexity_ratio":426.0,"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":8190,"base":2},"right_expr":{"type":"numeric_atoms","value":1813,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1293,"base":2},"right_expr":{"type":"numeric_atoms","value":2949,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1706,"base":2},"right_expr":{"type":"numeric_atoms","value":1091,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3147,"base":2},"right_expr":{"type":"numeric_atoms","value":6139,"base":2}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5952,"base":2},"right_expr":{"type":"numeric_atoms","value":1356,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":9259,"base":2},"right_expr":{"type":"numeric_atoms","value":1533,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7578,"base":2},"right_expr":{"type":"numeric_atoms","value":5125,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2960,"base":2},"right_expr":{"type":"numeric_atoms","value":1175,"base":2}}}}},"used_operators":["QMFrweE19q","rxpJgHHUmx","nCS4ZIUYfx","SUmda5xLS4","bJkvcejdHO","T2fj7uvVaJ","IWmyXbctLI","sdazOOVcIp","LRNGc0VcxI","8HhzD0ZcuI","uFcxV4UQCh","2DDjHMKMc0","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8190","layer":4},{"info":"number node, value=1813","layer":4},{"info":"compute binary expreesion, left_input=8190, right_input=1813, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1215461","layer":3},{"info":"number node, value=1293","layer":4},{"info":"number node, value=2949","layer":4},{"info":"compute binary expreesion, left_input=1293, right_input=2949, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=334414","layer":3},{"info":"compute binary expreesion, left_input=-1215461, right_input=334414, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1549875","layer":2},{"info":"number node, value=1706","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=1706, right_input=1091, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3728","layer":3},{"info":"number node, value=3147","layer":4},{"info":"number node, value=6139","layer":4},{"info":"compute binary expreesion, left_input=3147, right_input=6139, 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=28796","layer":3},{"info":"compute binary expreesion, left_input=3728, right_input=28796, 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=1549875, 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=5952","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=5952, right_input=1356, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-106281666","layer":3},{"info":"number node, value=9259","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=9259, right_input=1533, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=61","layer":3},{"info":"compute binary expreesion, left_input=-106281666, right_input=61, 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=7578","layer":4},{"info":"number node, value=5125","layer":4},{"info":"compute binary expreesion, left_input=7578, right_input=5125, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7578","layer":3},{"info":"number node, value=2960","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=2960, right_input=1175, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-610","layer":3},{"info":"compute binary expreesion, left_input=7578, right_input=-610, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7578","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7578, 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=-22, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1111111111110⪄≮⫘↔11100010101)⨳⩥⨓≮⫘↔10100001101≎⊠⪸≮⫘↔101110000101)≭≮⫘↔11010101010⪮%⊝≮⫘↔10001000011⋓(≮⫘↔110001001011⫡⨏≮⫘↔1011111111011)⫡⨏((≮⫘↔1011101000000⨽≮⫘↔10101001100)∀⇚≩≮⫘↔10010000101011⪛≮⫘↔10111111101⪨≂≮⫘↔1110110011010⋝⋈⪟≮⫘↔1010000000101⋝⋈⪟(≮⫘↔101110010000⋷≮⫘↔10010010111))=NaN","reverse_text":"NaN=((≮⫘↔1111111111110⪄≮⫘↔11100010101)⨳⩥⨓≮⫘↔10100001101≎⊠⪸≮⫘↔101110000101)≭≮⫘↔11010101010⪮%⊝≮⫘↔10001000011⋓(≮⫘↔110001001011⫡⨏≮⫘↔1011111111011)⫡⨏((≮⫘↔1011101000000⨽≮⫘↔10101001100)∀⇚≩≮⫘↔10010000101011⪛≮⫘↔10111111101⪨≂≮⫘↔1110110011010⋝⋈⪟≮⫘↔1010000000101⋝⋈⪟(≮⫘↔101110010000⋷≮⫘↔10010010111))","cot":[{"info":"≮⫘↔1111111111110⪄≮⫘↔11100010101=≮⫘↔-100101000101111100101","layer":3},{"info":"≮⫘↔10100001101≎⊠⪸≮⫘↔101110000101=≮⫘↔1010001101001001110","layer":3},{"info":"≮⫘↔-100101000101111100101⨳⩥⨓≮⫘↔1010001101001001110=≮⫘↔101111010011000110011","layer":2},{"info":"≮⫘↔11010101010⪮%⊝≮⫘↔10001000011=≮⫘↔111010010000","layer":3},{"info":"≮⫘↔110001001011⫡⨏≮⫘↔1011111111011=≮⫘↔111000001111100","layer":3},{"info":"≮⫘↔111010010000⋓≮⫘↔111000001111100=≮⫘↔0","layer":2},{"info":"≮⫘↔101111010011000110011≭≮⫘↔0=≮⫘↔-10110","layer":1},{"info":"≮⫘↔1011101000000⨽≮⫘↔10101001100=≮⫘↔-110010101011011101011000010","layer":3},{"info":"≮⫘↔10010000101011⪛≮⫘↔10111111101=≮⫘↔111101","layer":3},{"info":"≮⫘↔-110010101011011101011000010∀⇚≩≮⫘↔111101=NaN","layer":2},{"info":"≮⫘↔1110110011010⋝⋈⪟≮⫘↔1010000000101=≮⫘↔1110110011010","layer":3},{"info":"≮⫘↔101110010000⋷≮⫘↔10010010111=≮⫘↔-1001100010","layer":3},{"info":"≮⫘↔1110110011010⋝⋈⪟≮⫘↔-1001100010=≮⫘↔1110110011010","layer":2},{"info":"NaN⪨≂≮⫘↔1110110011010=NaN","layer":1},{"info":"≮⫘↔-10110⫡⨏NaN=NaN","layer":0}]}
{"id":306,"expression_no_base_symbol":"((⊥$1404$⨟⋌⩍$6215$)*($1001$⪠⩆⊳)⨓($6359$≋⫹))⋳⪒($2410$⪨≂$4291$)⋓$1403$⪛$7411$+⇶⊼(($6518$⋷$3602$)⨐⩸⫘(⨵≀≌$3584$))","expression":"((⊥≮⫘↔10101111100⨟⋌⩍≮⫘↔1100001000111)*(≮⫘↔1111101001⪠⩆⊳)⨓(≮⫘↔1100011010111≋⫹))⋳⪒(≮⫘↔100101101010⪨≂≮⫘↔1000011000011)⋓≮⫘↔10101111011⪛≮⫘↔1110011110011+⇶⊼((≮⫘↔1100101110110⋷≮⫘↔111000010010)⨐⩸⫘(⨵≀≌≮⫘↔111000000000))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12773,"operation_count":14,"complexity_ratio":912.3571428571429,"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":1404,"base":2},"right_expr":{"type":"numeric_atoms","value":6215,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1001,"base":2}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":6359,"base":2}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2410,"base":2},"right_expr":{"type":"numeric_atoms","value":4291,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1403,"base":2},"right_expr":{"type":"numeric_atoms","value":7411,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6518,"base":2},"right_expr":{"type":"numeric_atoms","value":3602,"base":2}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3584,"base":2}}}}},"used_operators":["12rbrZMWeM","9HNa5Wba9A","Q3PJZHRvZv","rGHVDoGpnC","3ViojmjbAp","JLbD19bQDL","N41Kp7NANJ","TpPTUOHfaN","T2fj7uvVaJ","sdazOOVcIp","uFcxV4UQCh","fu6greOZ01","23Mk6UjR3U","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","fu6greOZ01","Tcnh7f0tEr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1404","layer":4},{"info":"number node, value=6215","layer":4},{"info":"compute binary expreesion, left_input=1404, right_input=6215, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, 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=6359","layer":4},{"info":"compute unary expreesion, input=6359, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-12718","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-12718, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=12715","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=12715, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2410","layer":4},{"info":"number node, value=4291","layer":4},{"info":"compute binary expreesion, left_input=2410, right_input=4291, 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=-3660","layer":3},{"info":"number node, value=1403","layer":4},{"info":"number node, value=7411","layer":4},{"info":"compute binary expreesion, left_input=1403, right_input=7411, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1403","layer":3},{"info":"compute binary expreesion, left_input=-3660, right_input=1403, 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=6518","layer":4},{"info":"number node, value=3602","layer":4},{"info":"compute binary expreesion, left_input=6518, right_input=3602, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=686","layer":3},{"info":"number node, value=3584","layer":4},{"info":"compute unary expreesion, input=3584, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10752","layer":3},{"info":"compute binary expreesion, left_input=686, right_input=-10752, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⊥≮⫘↔10101111100⨟⋌⩍≮⫘↔1100001000111)*(≮⫘↔1111101001⪠⩆⊳)⨓(≮⫘↔1100011010111≋⫹))⋳⪒(≮⫘↔100101101010⪨≂≮⫘↔1000011000011)⋓≮⫘↔10101111011⪛≮⫘↔1110011110011+⇶⊼((≮⫘↔1100101110110⋷≮⫘↔111000010010)⨐⩸⫘(⨵≀≌≮⫘↔111000000000))=NaN","reverse_text":"NaN=((⊥≮⫘↔10101111100⨟⋌⩍≮⫘↔1100001000111)*(≮⫘↔1111101001⪠⩆⊳)⨓(≮⫘↔1100011010111≋⫹))⋳⪒(≮⫘↔100101101010⪨≂≮⫘↔1000011000011)⋓≮⫘↔10101111011⪛≮⫘↔1110011110011+⇶⊼((≮⫘↔1100101110110⋷≮⫘↔111000010010)⨐⩸⫘(⨵≀≌≮⫘↔111000000000))","cot":[{"info":"≮⫘↔10101111100⨟⋌⩍≮⫘↔1100001000111=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"≮⫘↔1111101001⪠⩆⊳=≮⫘↔0","layer":3},{"info":"≮⫘↔1100011010111≋⫹=≮⫘↔-11000110101110","layer":3},{"info":"≮⫘↔0⨓≮⫘↔-11000110101110=≮⫘↔11000110101011","layer":2},{"info":"NaN*≮⫘↔11000110101011=NaN","layer":1},{"info":"≮⫘↔100101101010⪨≂≮⫘↔1000011000011=≮⫘↔-111001001100","layer":3},{"info":"≮⫘↔10101111011⪛≮⫘↔1110011110011=≮⫘↔10101111011","layer":3},{"info":"≮⫘↔-111001001100⋓≮⫘↔10101111011=≮⫘↔0","layer":2},{"info":"≮⫘↔1100101110110⋷≮⫘↔111000010010=≮⫘↔1010101110","layer":3},{"info":"⨵≀≌≮⫘↔111000000000=≮⫘↔-10101000000000","layer":3},{"info":"≮⫘↔1010101110⨐⩸⫘≮⫘↔-10101000000000=NaN","layer":2},{"info":"≮⫘↔0+⇶⊼NaN=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":307,"expression_no_base_symbol":"⨈⫕($2999$≧⫂∧$1383$∲⫓(+⊝⨔$8168$))⨪↰⇹($2454$⨰$1913$⪒($3802$⊠≄⫣))","expression":"⨈⫕(≮⫘↔101110110111≧⫂∧≮⫘↔10101100111∲⫓(+⊝⨔≮⫘↔1111111101000))⨪↰⇹(≮⫘↔100110010110⨰≮⫘↔11101111001⪒(≮⫘↔111011011010⊠≄⫣))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":442,"operation_count":8,"complexity_ratio":55.25,"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":2999,"base":2},"right_expr":{"type":"numeric_atoms","value":1383,"base":2}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":8168,"base":2}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2454,"base":2},"right_expr":{"type":"numeric_atoms","value":1913,"base":2}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3802,"base":2}}}}},"used_operators":["megm06wKyl","tmPS8pqC7x","i8ToyICDmI","Ph9nP6C5qx","DhbWaqg5eL","f6k1SAg4EE","eewbuw0ToL","DIvbN7qnHd"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-10101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2999","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=2999, right_input=1383, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=910","layer":3},{"info":"number node, value=8168","layer":4},{"info":"compute unary expreesion, input=8168, 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=910, right_input=1522, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=2454","layer":4},{"info":"number node, value=1913","layer":4},{"info":"compute binary expreesion, left_input=2454, right_input=1913, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=551","layer":3},{"info":"number node, value=3802","layer":4},{"info":"compute unary expreesion, input=3802, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=551, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-551","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-551, 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":1},{"info":"compute unary expreesion, input=0, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":2,"result_base":2,"text":"⨈⫕(≮⫘↔101110110111≧⫂∧≮⫘↔10101100111∲⫓(+⊝⨔≮⫘↔1111111101000))⨪↰⇹(≮⫘↔100110010110⨰≮⫘↔11101111001⪒(≮⫘↔111011011010⊠≄⫣))=≮⫘↔-10101","reverse_text":"≮⫘↔-10101=⨈⫕(≮⫘↔101110110111≧⫂∧≮⫘↔10101100111∲⫓(+⊝⨔≮⫘↔1111111101000))⨪↰⇹(≮⫘↔100110010110⨰≮⫘↔11101111001⪒(≮⫘↔111011011010⊠≄⫣))","cot":[{"info":"≮⫘↔101110110111≧⫂∧≮⫘↔10101100111=≮⫘↔1110001110","layer":3},{"info":"+⊝⨔≮⫘↔1111111101000=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔1110001110∲⫓≮⫘↔10111110010=≮⫘↔0","layer":2},{"info":"≮⫘↔100110010110⨰≮⫘↔11101111001=≮⫘↔1000100111","layer":3},{"info":"≮⫘↔111011011010⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔1000100111⪒≮⫘↔0=≮⫘↔-1000100111","layer":2},{"info":"≮⫘↔0⨪↰⇹≮⫘↔-1000100111=≮⫘↔0","layer":1},{"info":"⨈⫕≮⫘↔0=≮⫘↔-10101","layer":0}]}
{"id":308,"expression_no_base_symbol":"⨰⫟⨤(⋗⩬⋾$2154$⪘⫢$1599$⨓($1668$≧⫂∧$2876$))","expression":"⨰⫟⨤(⋗⩬⋾≮⫘↔100001101010⪘⫢≮⫘↔11000111111⨓(≮⫘↔11010000100≧⫂∧≮⫘↔101100111100))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":30460,"operation_count":5,"complexity_ratio":6092.0,"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":2154,"base":2},"right_expr":{"type":"numeric_atoms","value":1599,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1668,"base":2},"right_expr":{"type":"numeric_atoms","value":2876,"base":2}}}}},"used_operators":["Tw270M8GLb","DpFCA1CohY","3ViojmjbAp","oacrs7FA3X","Ph9nP6C5qx"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2154","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=2154, right_input=1599, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4184","layer":3},{"info":"number node, value=1668","layer":4},{"info":"number node, value=2876","layer":4},{"info":"compute binary expreesion, left_input=1668, right_input=2876, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2403","layer":3},{"info":"compute binary expreesion, left_input=4184, right_input=2403, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2406","layer":2},{"info":"compute unary expreesion, input=-2406, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=7218","layer":1},{"info":"compute unary expreesion, input=7218, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⨰⫟⨤(⋗⩬⋾≮⫘↔100001101010⪘⫢≮⫘↔11000111111⨓(≮⫘↔11010000100≧⫂∧≮⫘↔101100111100))=NaN","reverse_text":"NaN=⨰⫟⨤(⋗⩬⋾≮⫘↔100001101010⪘⫢≮⫘↔11000111111⨓(≮⫘↔11010000100≧⫂∧≮⫘↔101100111100))","cot":[{"info":"≮⫘↔100001101010⪘⫢≮⫘↔11000111111=≮⫘↔1000001011000","layer":3},{"info":"≮⫘↔11010000100≧⫂∧≮⫘↔101100111100=≮⫘↔100101100011","layer":3},{"info":"≮⫘↔1000001011000⨓≮⫘↔100101100011=≮⫘↔-100101100110","layer":2},{"info":"⋗⩬⋾≮⫘↔-100101100110=≮⫘↔1110000110010","layer":1},{"info":"⨰⫟⨤≮⫘↔1110000110010=NaN","layer":0}]}
{"id":309,"expression_no_base_symbol":"(($1063$↺$1407$)⩤)⨐⩸⫘(⨈⫕$3116$)⨽$1721$⩚⊴⇥$1349$⪒(⪲⇎($4321$↺$1459$)⨐⩸⫘(⨞⊢$2183$))","expression":"((≮⫘↔10000100111↺≮⫘↔10101111111)⩤)⨐⩸⫘(⨈⫕≮⫘↔110000101100)⨽≮⫘↔11010111001⩚⊴⇥≮⫘↔10101000101⪒(⪲⇎(≮⫘↔1000011100001↺≮⫘↔10110110011)⨐⩸⫘(⨞⊢≮⫘↔100010000111))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":433,"operation_count":11,"complexity_ratio":39.36363636363637,"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":1063,"base":2},"right_expr":{"type":"numeric_atoms","value":1407,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3116,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1721,"base":2},"right_expr":{"type":"numeric_atoms","value":1349,"base":2}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4321,"base":2},"right_expr":{"type":"numeric_atoms","value":1459,"base":2}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2183,"base":2}}}}},"used_operators":["f6k1SAg4EE","fu6greOZ01","Z2TMIBDE3Q","7j4O788W3g","8HhzD0ZcuI","megm06wKyl","NTOWxs364D","XPYlsWDdGa","xUOZtlo3hN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1063","layer":4},{"info":"number node, value=1407","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=1407, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1407","layer":3},{"info":"compute unary expreesion, input=1407, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1407","layer":2},{"info":"number node, value=3116","layer":4},{"info":"compute unary expreesion, input=3116, 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=1721","layer":4},{"info":"number node, value=1349","layer":4},{"info":"compute binary expreesion, left_input=1721, right_input=1349, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3191","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-3191, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=9564","layer":2},{"info":"compute binary expreesion, left_input=-1407, right_input=9564, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=4321","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=4321, right_input=1459, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1459","layer":3},{"info":"number node, value=2183","layer":4},{"info":"compute unary expreesion, input=2183, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2357","layer":3},{"info":"compute binary expreesion, left_input=1459, right_input=-2357, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10000100111↺≮⫘↔10101111111)⩤)⨐⩸⫘(⨈⫕≮⫘↔110000101100)⨽≮⫘↔11010111001⩚⊴⇥≮⫘↔10101000101⪒(⪲⇎(≮⫘↔1000011100001↺≮⫘↔10110110011)⨐⩸⫘(⨞⊢≮⫘↔100010000111))=NaN","reverse_text":"NaN=((≮⫘↔10000100111↺≮⫘↔10101111111)⩤)⨐⩸⫘(⨈⫕≮⫘↔110000101100)⨽≮⫘↔11010111001⩚⊴⇥≮⫘↔10101000101⪒(⪲⇎(≮⫘↔1000011100001↺≮⫘↔10110110011)⨐⩸⫘(⨞⊢≮⫘↔100010000111))","cot":[{"info":"≮⫘↔10000100111↺≮⫘↔10101111111=≮⫘↔10101111111","layer":3},{"info":"≮⫘↔10101111111⩤=≮⫘↔-10101111111","layer":2},{"info":"⨈⫕≮⫘↔110000101100=≮⫘↔-10101","layer":3},{"info":"≮⫘↔11010111001⩚⊴⇥≮⫘↔10101000101=≮⫘↔-110001110111","layer":3},{"info":"≮⫘↔-10101⨽≮⫘↔-110001110111=≮⫘↔10010101011100","layer":2},{"info":"≮⫘↔-10101111111⨐⩸⫘≮⫘↔10010101011100=NaN","layer":1},{"info":"≮⫘↔1000011100001↺≮⫘↔10110110011=≮⫘↔10110110011","layer":3},{"info":"⨞⊢≮⫘↔100010000111=≮⫘↔-100100110101","layer":3},{"info":"≮⫘↔10110110011⨐⩸⫘≮⫘↔-100100110101=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":310,"expression_no_base_symbol":"(($2105$↙$1527$/($4219$⪨≂$2532$))⇼⇔∾((-$3394$)⫡⨏$2814$≧⫂∧$1855$))⫸⊐($5987$⊉≛↸$2325$∲⫓$2203$⨪↰⇹$6640$)⩚⊴⇥($8063$⨓$5590$)∼($1236$⊉≛↸$2553$)","expression":"((≮⫘↔100000111001↙≮⫘↔10111110111/(≮⫘↔1000001111011⪨≂≮⫘↔100111100100))⇼⇔∾((-≮⫘↔110101000010)⫡⨏≮⫘↔101011111110≧⫂∧≮⫘↔11100111111))⫸⊐(≮⫘↔1011101100011⊉≛↸≮⫘↔100100010101∲⫓≮⫘↔100010011011⨪↰⇹≮⫘↔1100111110000)⩚⊴⇥(≮⫘↔1111101111111⨓≮⫘↔1010111010110)∼(≮⫘↔10011010100⊉≛↸≮⫘↔100111111001)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9470,"operation_count":15,"complexity_ratio":631.3333333333334,"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":2105,"base":2},"right_expr":{"type":"numeric_atoms","value":1527,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4219,"base":2},"right_expr":{"type":"numeric_atoms","value":2532,"base":2}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3394,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2814,"base":2},"right_expr":{"type":"numeric_atoms","value":1855,"base":2}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5987,"base":2},"right_expr":{"type":"numeric_atoms","value":2325,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2203,"base":2},"right_expr":{"type":"numeric_atoms","value":6640,"base":2}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":8063,"base":2},"right_expr":{"type":"numeric_atoms","value":5590,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1236,"base":2},"right_expr":{"type":"numeric_atoms","value":2553,"base":2}}}}},"used_operators":["mqXw5SEYmG","tifHPKVTfV","XhwjNDsVaA","yyfyN0ffXY","sdazOOVcIp","QMFrweE19q","t8gj7n24qd","Ph9nP6C5qx","NTOWxs364D","i8ToyICDmI","DZ8iAZOCBD","tmPS8pqC7x","DyGG3AbaNP","3ViojmjbAp"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"≮⫘↔1111001000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2105","layer":4},{"info":"number node, value=1527","layer":4},{"info":"compute binary expreesion, left_input=2105, right_input=1527, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4581","layer":3},{"info":"number node, value=4219","layer":4},{"info":"number node, value=2532","layer":4},{"info":"compute binary expreesion, left_input=4219, right_input=2532, 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=3476","layer":3},{"info":"compute binary expreesion, left_input=-4581, right_input=3476, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-2","layer":2},{"info":"number node, value=3394","layer":4},{"info":"compute unary expreesion, input=3394, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3394","layer":3},{"info":"number node, value=2814","layer":4},{"info":"number node, value=1855","layer":4},{"info":"compute binary expreesion, left_input=2814, right_input=1855, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1382","layer":3},{"info":"compute binary expreesion, left_input=-3394, right_input=1382, 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=-13423","layer":2},{"info":"compute binary expreesion, left_input=-2, right_input=-13423, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-13421","layer":1},{"info":"number node, value=5987","layer":4},{"info":"number node, value=2325","layer":4},{"info":"compute binary expreesion, left_input=5987, right_input=2325, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11974","layer":3},{"info":"number node, value=2203","layer":4},{"info":"number node, value=6640","layer":4},{"info":"compute binary expreesion, left_input=2203, right_input=6640, 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=2203","layer":3},{"info":"compute binary expreesion, left_input=11974, right_input=2203, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=8063","layer":4},{"info":"number node, value=5590","layer":4},{"info":"compute binary expreesion, left_input=8063, right_input=5590, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5593","layer":3},{"info":"number node, value=1236","layer":4},{"info":"number node, value=2553","layer":4},{"info":"compute binary expreesion, left_input=1236, right_input=2553, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2472","layer":3},{"info":"compute binary expreesion, left_input=-5593, right_input=2472, 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=0, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-13421, 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":0}],"base":2,"result_base":2,"text":"((≮⫘↔100000111001↙≮⫘↔10111110111/(≮⫘↔1000001111011⪨≂≮⫘↔100111100100))⇼⇔∾((-≮⫘↔110101000010)⫡⨏≮⫘↔101011111110≧⫂∧≮⫘↔11100111111))⫸⊐(≮⫘↔1011101100011⊉≛↸≮⫘↔100100010101∲⫓≮⫘↔100010011011⨪↰⇹≮⫘↔1100111110000)⩚⊴⇥(≮⫘↔1111101111111⨓≮⫘↔1010111010110)∼(≮⫘↔10011010100⊉≛↸≮⫘↔100111111001)=≮⫘↔1111001000","reverse_text":"≮⫘↔1111001000=((≮⫘↔100000111001↙≮⫘↔10111110111/(≮⫘↔1000001111011⪨≂≮⫘↔100111100100))⇼⇔∾((-≮⫘↔110101000010)⫡⨏≮⫘↔101011111110≧⫂∧≮⫘↔11100111111))⫸⊐(≮⫘↔1011101100011⊉≛↸≮⫘↔100100010101∲⫓≮⫘↔100010011011⨪↰⇹≮⫘↔1100111110000)⩚⊴⇥(≮⫘↔1111101111111⨓≮⫘↔1010111010110)∼(≮⫘↔10011010100⊉≛↸≮⫘↔100111111001)","cot":[{"info":"≮⫘↔100000111001↙≮⫘↔10111110111=≮⫘↔-1000111100101","layer":3},{"info":"≮⫘↔1000001111011⪨≂≮⫘↔100111100100=≮⫘↔110110010100","layer":3},{"info":"≮⫘↔-1000111100101/≮⫘↔110110010100=≮⫘↔-10","layer":2},{"info":"-≮⫘↔110101000010=≮⫘↔-110101000010","layer":3},{"info":"≮⫘↔101011111110≧⫂∧≮⫘↔11100111111=≮⫘↔10101100110","layer":3},{"info":"≮⫘↔-110101000010⫡⨏≮⫘↔10101100110=≮⫘↔-11010001101111","layer":2},{"info":"≮⫘↔-10⇼⇔∾≮⫘↔-11010001101111=≮⫘↔-11010001101101","layer":1},{"info":"≮⫘↔1011101100011⊉≛↸≮⫘↔100100010101=≮⫘↔10111011000110","layer":3},{"info":"≮⫘↔100010011011⨪↰⇹≮⫘↔1100111110000=≮⫘↔100010011011","layer":3},{"info":"≮⫘↔10111011000110∲⫓≮⫘↔100010011011=≮⫘↔0","layer":2},{"info":"≮⫘↔1111101111111⨓≮⫘↔1010111010110=≮⫘↔-1010111011001","layer":3},{"info":"≮⫘↔10011010100⊉≛↸≮⫘↔100111111001=≮⫘↔100110101000","layer":3},{"info":"≮⫘↔-1010111011001∼≮⫘↔100110101000=NaN","layer":2},{"info":"≮⫘↔0⩚⊴⇥NaN=NaN","layer":1},{"info":"≮⫘↔-11010001101101⫸⊐NaN=≮⫘↔1111001000","layer":0}]}
{"id":311,"expression_no_base_symbol":"(($5455$%$3469$)⨓(≉$6850$)⇼⇔∾($6567$∀⇚≩$5996$)⪘⫢($4013$*$1771$))⋥≓≎(⋗⩬⋾($1795$∀⇚≩$1885$⨳⩥⨓$1535$∼$1380$))","expression":"((≮⫘↔1010101001111%≮⫘↔110110001101)⨓(≉≮⫘↔1101011000010)⇼⇔∾(≮⫘↔1100110100111∀⇚≩≮⫘↔1011101101100)⪘⫢(≮⫘↔111110101101*≮⫘↔11011101011))⋥≓≎(⋗⩬⋾(≮⫘↔11100000011∀⇚≩≮⫘↔11101011101⨳⩥⨓≮⫘↔10111111111∼≮⫘↔10101100100))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":67746,"operation_count":12,"complexity_ratio":5645.5,"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":5455,"base":2},"right_expr":{"type":"numeric_atoms","value":3469,"base":2}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":6850,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6567,"base":2},"right_expr":{"type":"numeric_atoms","value":5996,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4013,"base":2},"right_expr":{"type":"numeric_atoms","value":1771,"base":2}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1795,"base":2},"right_expr":{"type":"numeric_atoms","value":1885,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1535,"base":2},"right_expr":{"type":"numeric_atoms","value":1380,"base":2}}}}},"used_operators":["Qy55tPpLXF","tifHPKVTfV","3ViojmjbAp","k8jYdgA6NY","e1ybzncUwg","oacrs7FA3X","LRNGc0VcxI","9HNa5Wba9A","DpFCA1CohY","nCS4ZIUYfx","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5455","layer":4},{"info":"number node, value=3469","layer":4},{"info":"compute binary expreesion, left_input=5455, right_input=3469, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1986","layer":3},{"info":"number node, value=6850","layer":4},{"info":"compute unary expreesion, input=6850, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=7381","layer":3},{"info":"compute binary expreesion, left_input=1986, right_input=7381, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7384","layer":2},{"info":"number node, value=6567","layer":4},{"info":"number node, value=5996","layer":4},{"info":"compute binary expreesion, left_input=6567, right_input=5996, 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=4013","layer":4},{"info":"number node, value=1771","layer":4},{"info":"compute binary expreesion, left_input=4013, right_input=1771, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7107023","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7107023, 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":"compute binary expreesion, left_input=-7384, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1795","layer":4},{"info":"number node, value=1885","layer":4},{"info":"compute binary expreesion, left_input=1795, right_input=1885, 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=1535","layer":4},{"info":"number node, value=1380","layer":4},{"info":"compute binary expreesion, left_input=1535, right_input=1380, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+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=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010101001111%≮⫘↔110110001101)⨓(≉≮⫘↔1101011000010)⇼⇔∾(≮⫘↔1100110100111∀⇚≩≮⫘↔1011101101100)⪘⫢(≮⫘↔111110101101*≮⫘↔11011101011))⋥≓≎(⋗⩬⋾(≮⫘↔11100000011∀⇚≩≮⫘↔11101011101⨳⩥⨓≮⫘↔10111111111∼≮⫘↔10101100100))=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=((≮⫘↔1010101001111%≮⫘↔110110001101)⨓(≉≮⫘↔1101011000010)⇼⇔∾(≮⫘↔1100110100111∀⇚≩≮⫘↔1011101101100)⪘⫢(≮⫘↔111110101101*≮⫘↔11011101011))⋥≓≎(⋗⩬⋾(≮⫘↔11100000011∀⇚≩≮⫘↔11101011101⨳⩥⨓≮⫘↔10111111111∼≮⫘↔10101100100))","cot":[{"info":"≮⫘↔1010101001111%≮⫘↔110110001101=≮⫘↔11111000010","layer":3},{"info":"≉≮⫘↔1101011000010=≮⫘↔1110011010101","layer":3},{"info":"≮⫘↔11111000010⨓≮⫘↔1110011010101=≮⫘↔-1110011011000","layer":2},{"info":"≮⫘↔1100110100111∀⇚≩≮⫘↔1011101101100=NaN","layer":3},{"info":"≮⫘↔111110101101*≮⫘↔11011101011=≮⫘↔11011000111000111001111","layer":3},{"info":"NaN⪘⫢≮⫘↔11011000111000111001111=NaN","layer":2},{"info":"≮⫘↔-1110011011000⇼⇔∾NaN=NaN","layer":1},{"info":"≮⫘↔11100000011∀⇚≩≮⫘↔11101011101=NaN","layer":3},{"info":"≮⫘↔10111111111∼≮⫘↔10101100100=NaN","layer":3},{"info":"NaN⨳⩥⨓NaN=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"NaN⋥≓≎NaN=≮⫘↔1000011","layer":0}]}
{"id":312,"expression_no_base_symbol":"(-($1404$⨰$1433$⪨≂(⨰⫟⨤$2304$)))≧⫂∧(↩((⇁⨣⪵$8483$)-$5932$⪄$5235$))","expression":"(-(≮⫘↔10101111100⨰≮⫘↔10110011001⪨≂(⨰⫟⨤≮⫘↔100100000000)))≧⫂∧(↩((⇁⨣⪵≮⫘↔10000100100011)-≮⫘↔1011100101100⪄≮⫘↔1010001110011))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":8505,"operation_count":9,"complexity_ratio":945.0,"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":1404,"base":2},"right_expr":{"type":"numeric_atoms","value":1433,"base":2}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2304,"base":2}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":8483,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5932,"base":2},"right_expr":{"type":"numeric_atoms","value":5235,"base":2}}}}},"used_operators":["Ph9nP6C5qx","t8gj7n24qd","sdazOOVcIp","eewbuw0ToL","Tw270M8GLb","jLgFTUHLKL","rysDP5nf3Z","inkyxCbjAn","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","B5M0gjZbta","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1404","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=1404, right_input=1433, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-19","layer":3},{"info":"number node, value=2304","layer":4},{"info":"compute unary expreesion, input=2304, 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=-19, 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":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"number node, value=8483","layer":4},{"info":"compute unary expreesion, input=8483, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=5932","layer":4},{"info":"number node, value=5235","layer":4},{"info":"compute binary expreesion, left_input=5932, right_input=5235, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-894965","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-894965, op_id = rysDP5nf3Z binary_op_definition= 'None', 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=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(-(≮⫘↔10101111100⨰≮⫘↔10110011001⪨≂(⨰⫟⨤≮⫘↔100100000000)))≧⫂∧(↩((⇁⨣⪵≮⫘↔10000100100011)-≮⫘↔1011100101100⪄≮⫘↔1010001110011))=NaN","reverse_text":"NaN=(-(≮⫘↔10101111100⨰≮⫘↔10110011001⪨≂(⨰⫟⨤≮⫘↔100100000000)))≧⫂∧(↩((⇁⨣⪵≮⫘↔10000100100011)-≮⫘↔1011100101100⪄≮⫘↔1010001110011))","cot":[{"info":"≮⫘↔10101111100⨰≮⫘↔10110011001=≮⫘↔-10011","layer":3},{"info":"⨰⫟⨤≮⫘↔100100000000=NaN","layer":3},{"info":"≮⫘↔-10011⪨≂NaN=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⇁⨣⪵≮⫘↔10000100100011=NaN","layer":3},{"info":"≮⫘↔1011100101100⪄≮⫘↔1010001110011=≮⫘↔-11011010011111110101","layer":3},{"info":"NaN-≮⫘↔-11011010011111110101=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":313,"expression_no_base_symbol":"((($2128$⨽$2046$)⊭∹↮)/($1438$+⇶⊼$1873$+$1219$⨎$1872$))⪮%⊝(↽≂($6744$⩤)⨓(⫓⪴$9018$))","expression":"(((≮⫘↔100001010000⨽≮⫘↔11111111110)⊭∹↮)/(≮⫘↔10110011110+⇶⊼≮⫘↔11101010001+≮⫘↔10011000011⨎≮⫘↔11101010000))⪮%⊝(↽≂(≮⫘↔1101001011000⩤)⨓(⫓⪴≮⫘↔10001100111010))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11180,"operation_count":11,"complexity_ratio":1016.3636363636364,"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":2128,"base":2},"right_expr":{"type":"numeric_atoms","value":2046,"base":2}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1438,"base":2},"right_expr":{"type":"numeric_atoms","value":1873,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1219,"base":2},"right_expr":{"type":"numeric_atoms","value":1872,"base":2}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":6744,"base":2}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":9018,"base":2}}}}},"used_operators":["IWmyXbctLI","XhwjNDsVaA","xNBdhnnwKq","8HhzD0ZcuI","W4YGzv6Whe","TpPTUOHfaN","rJVOvQCfKK","u6S6b8DprG","3ViojmjbAp","Z2TMIBDE3Q","eLxqMNBOBk"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2128","layer":4},{"info":"number node, value=2046","layer":4},{"info":"compute binary expreesion, left_input=2128, right_input=2046, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-13589976","layer":3},{"info":"compute unary expreesion, input=-13589976, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-13589976","layer":2},{"info":"number node, value=1438","layer":4},{"info":"number node, value=1873","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=1873, 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=1219","layer":4},{"info":"number node, value=1872","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=1872, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1872","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1872, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-13589976, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=6744","layer":4},{"info":"compute unary expreesion, input=6744, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-6744","layer":3},{"info":"number node, value=9018","layer":4},{"info":"compute unary expreesion, input=9018, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=81324324","layer":3},{"info":"compute binary expreesion, left_input=-6744, right_input=81324324, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', 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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔100001010000⨽≮⫘↔11111111110)⊭∹↮)/(≮⫘↔10110011110+⇶⊼≮⫘↔11101010001+≮⫘↔10011000011⨎≮⫘↔11101010000))⪮%⊝(↽≂(≮⫘↔1101001011000⩤)⨓(⫓⪴≮⫘↔10001100111010))=NaN","reverse_text":"NaN=(((≮⫘↔100001010000⨽≮⫘↔11111111110)⊭∹↮)/(≮⫘↔10110011110+⇶⊼≮⫘↔11101010001+≮⫘↔10011000011⨎≮⫘↔11101010000))⪮%⊝(↽≂(≮⫘↔1101001011000⩤)⨓(⫓⪴≮⫘↔10001100111010))","cot":[{"info":"≮⫘↔100001010000⨽≮⫘↔11111111110=≮⫘↔-110011110101110111011000","layer":3},{"info":"≮⫘↔-110011110101110111011000⊭∹↮=≮⫘↔-110011110101110111011000","layer":2},{"info":"≮⫘↔10110011110+⇶⊼≮⫘↔11101010001=NaN","layer":3},{"info":"≮⫘↔10011000011⨎≮⫘↔11101010000=≮⫘↔11101010000","layer":3},{"info":"NaN+≮⫘↔11101010000=NaN","layer":2},{"info":"≮⫘↔-110011110101110111011000/NaN=NaN","layer":1},{"info":"≮⫘↔1101001011000⩤=≮⫘↔-1101001011000","layer":3},{"info":"⫓⪴≮⫘↔10001100111010=≮⫘↔100110110001110100100100100","layer":3},{"info":"≮⫘↔-1101001011000⨓≮⫘↔100110110001110100100100100=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":314,"expression_no_base_symbol":"⫛⫱⨽($2139$⋝⋈⪟$2861$⪒(∂$1744$)+($2844$⨵⪆$4571$)∀⇚≩(⊙↵-$2539$))","expression":"⫛⫱⨽(≮⫘↔100001011011⋝⋈⪟≮⫘↔101100101101⪒(∂≮⫘↔11011010000)+(≮⫘↔101100011100⨵⪆≮⫘↔1000111011011)∀⇚≩(⊙↵-≮⫘↔100111101011))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4626,"operation_count":8,"complexity_ratio":578.25,"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":2139,"base":2},"right_expr":{"type":"numeric_atoms","value":2861,"base":2}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1744,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2844,"base":2},"right_expr":{"type":"numeric_atoms","value":4571,"base":2}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2539,"base":2}}}}},"used_operators":["DlLNRPXxWL","W4YGzv6Whe","f6k1SAg4EE","2DDjHMKMc0","Uaa54Peajs","LRNGc0VcxI","2DQ55sFlQl","oWn0xqSxBt"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=2139","layer":4},{"info":"number node, value=2861","layer":4},{"info":"compute binary expreesion, left_input=2139, right_input=2861, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2139","layer":3},{"info":"number node, value=1744","layer":4},{"info":"compute unary expreesion, input=1744, 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=2139, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=2844","layer":4},{"info":"number node, value=4571","layer":4},{"info":"compute binary expreesion, left_input=2844, right_input=4571, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2539","layer":4},{"info":"compute unary expreesion, input=2539, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⫛⫱⨽(≮⫘↔100001011011⋝⋈⪟≮⫘↔101100101101⪒(∂≮⫘↔11011010000)+(≮⫘↔101100011100⨵⪆≮⫘↔1000111011011)∀⇚≩(⊙↵-≮⫘↔100111101011))=NaN","reverse_text":"NaN=⫛⫱⨽(≮⫘↔100001011011⋝⋈⪟≮⫘↔101100101101⪒(∂≮⫘↔11011010000)+(≮⫘↔101100011100⨵⪆≮⫘↔1000111011011)∀⇚≩(⊙↵-≮⫘↔100111101011))","cot":[{"info":"≮⫘↔100001011011⋝⋈⪟≮⫘↔101100101101=≮⫘↔100001011011","layer":3},{"info":"∂≮⫘↔11011010000=NaN","layer":3},{"info":"≮⫘↔100001011011⪒NaN=NaN","layer":2},{"info":"≮⫘↔101100011100⨵⪆≮⫘↔1000111011011=≮⫘↔10100000","layer":3},{"info":"⊙↵-≮⫘↔100111101011=≮⫘↔-1","layer":3},{"info":"≮⫘↔10100000∀⇚≩≮⫘↔-1=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":315,"expression_no_base_symbol":"(≉($6104$⨸⪁$1541$)⋓$3554$≹⇙⪍$5157$)⪘⫢((↔($1453$-$1148$))⨸⪁($1790$⋳⪒$3233$⋷$1625$⨪↰⇹$1219$))","expression":"(≉(≮⫘↔1011111011000⨸⪁≮⫘↔11000000101)⋓≮⫘↔110111100010≹⇙⪍≮⫘↔1010000100101)⪘⫢((↔(≮⫘↔10110101101-≮⫘↔10001111100))⨸⪁(≮⫘↔11011111110⋳⪒≮⫘↔110010100001⋷≮⫘↔11001011001⨪↰⇹≮⫘↔10011000011))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1672,"operation_count":11,"complexity_ratio":152.0,"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":6104,"base":2},"right_expr":{"type":"numeric_atoms","value":1541,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3554,"base":2},"right_expr":{"type":"numeric_atoms","value":5157,"base":2}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1453,"base":2},"right_expr":{"type":"numeric_atoms","value":1148,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1790,"base":2},"right_expr":{"type":"numeric_atoms","value":3233,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1625,"base":2},"right_expr":{"type":"numeric_atoms","value":1219,"base":2}}}}},"used_operators":["oacrs7FA3X","e1ybzncUwg","T2fj7uvVaJ","g55IO6H4Gj","AHs5Up7iyr","ruOEQAzv1W","rysDP5nf3Z","23Mk6UjR3U","12rbrZMWeM","tmPS8pqC7x"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6104","layer":4},{"info":"number node, value=1541","layer":4},{"info":"compute binary expreesion, left_input=6104, right_input=1541, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15290","layer":3},{"info":"number node, value=3554","layer":4},{"info":"number node, value=5157","layer":4},{"info":"compute binary expreesion, left_input=3554, right_input=5157, 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=15290, 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 unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"number node, value=1453","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=1453, right_input=1148, op_id = rysDP5nf3Z binary_op_definition= 'None', output=305","layer":3},{"info":"compute unary expreesion, input=305, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-32","layer":2},{"info":"number node, value=1790","layer":4},{"info":"number node, value=3233","layer":4},{"info":"compute binary expreesion, left_input=1790, right_input=3233, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=60","layer":3},{"info":"number node, value=1625","layer":4},{"info":"number node, value=1219","layer":4},{"info":"compute binary expreesion, left_input=1625, right_input=1219, 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=1625","layer":3},{"info":"compute binary expreesion, left_input=60, right_input=1625, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-120","layer":2},{"info":"compute binary expreesion, left_input=-32, right_input=-120, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-304","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-304, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≉(≮⫘↔1011111011000⨸⪁≮⫘↔11000000101)⋓≮⫘↔110111100010≹⇙⪍≮⫘↔1010000100101)⪘⫢((↔(≮⫘↔10110101101-≮⫘↔10001111100))⨸⪁(≮⫘↔11011111110⋳⪒≮⫘↔110010100001⋷≮⫘↔11001011001⨪↰⇹≮⫘↔10011000011))=NaN","reverse_text":"NaN=(≉(≮⫘↔1011111011000⨸⪁≮⫘↔11000000101)⋓≮⫘↔110111100010≹⇙⪍≮⫘↔1010000100101)⪘⫢((↔(≮⫘↔10110101101-≮⫘↔10001111100))⨸⪁(≮⫘↔11011111110⋳⪒≮⫘↔110010100001⋷≮⫘↔11001011001⨪↰⇹≮⫘↔10011000011))","cot":[{"info":"≮⫘↔1011111011000⨸⪁≮⫘↔11000000101=≮⫘↔11101110111010","layer":3},{"info":"≮⫘↔110111100010≹⇙⪍≮⫘↔1010000100101=NaN","layer":3},{"info":"≮⫘↔11101110111010⋓NaN=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"≮⫘↔10110101101-≮⫘↔10001111100=≮⫘↔100110001","layer":3},{"info":"↔≮⫘↔100110001=≮⫘↔-100000","layer":2},{"info":"≮⫘↔11011111110⋳⪒≮⫘↔110010100001=≮⫘↔111100","layer":3},{"info":"≮⫘↔11001011001⨪↰⇹≮⫘↔10011000011=≮⫘↔11001011001","layer":3},{"info":"≮⫘↔111100⋷≮⫘↔11001011001=≮⫘↔-1111000","layer":2},{"info":"≮⫘↔-100000⨸⪁≮⫘↔-1111000=≮⫘↔-100110000","layer":1},{"info":"NaN⪘⫢≮⫘↔-100110000=NaN","layer":0}]}
{"id":316,"expression_no_base_symbol":"(⊄⩳↩($6167$⨐⩸⫘$5503$)∀⇚≩(≉$1535$))≹⇙⪍((($9286$⋥≓≎$3855$)⊘)⇷(($1448$-$1978$)↺$2054$⨽$3157$))","expression":"(⊄⩳↩(≮⫘↔1100000010111⨐⩸⫘≮⫘↔1010101111111)∀⇚≩(≉≮⫘↔10111111111))≹⇙⪍(((≮⫘↔10010001000110⋥≓≎≮⫘↔111100001111)⊘)⇷((≮⫘↔10110101000-≮⫘↔11110111010)↺≮⫘↔100000000110⨽≮⫘↔110001010101))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2121,"operation_count":11,"complexity_ratio":192.8181818181818,"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":6167,"base":2},"right_expr":{"type":"numeric_atoms","value":5503,"base":2}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1535,"base":2}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":9286,"base":2},"right_expr":{"type":"numeric_atoms","value":3855,"base":2}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1448,"base":2},"right_expr":{"type":"numeric_atoms","value":1978,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2054,"base":2},"right_expr":{"type":"numeric_atoms","value":3157,"base":2}}}}},"used_operators":["AHs5Up7iyr","8w2t5hMYqp","LRNGc0VcxI","fu6greOZ01","e1ybzncUwg","mp7IySMOzn","gu96TGCTMs","Qy55tPpLXF","7j4O788W3g","rysDP5nf3Z","8HhzD0ZcuI"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6167","layer":4},{"info":"number node, value=5503","layer":4},{"info":"compute binary expreesion, left_input=6167, right_input=5503, 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=1535","layer":4},{"info":"compute unary expreesion, input=1535, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2066","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2066, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=9286","layer":4},{"info":"number node, value=3855","layer":4},{"info":"compute binary expreesion, left_input=9286, right_input=3855, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1543","layer":3},{"info":"compute unary expreesion, input=-1543, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=-1","layer":2},{"info":"number node, value=1448","layer":4},{"info":"number node, value=1978","layer":4},{"info":"compute binary expreesion, left_input=1448, right_input=1978, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-530","layer":3},{"info":"number node, value=2054","layer":4},{"info":"number node, value=3157","layer":4},{"info":"compute binary expreesion, left_input=2054, right_input=3157, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12664905","layer":3},{"info":"compute binary expreesion, left_input=-530, right_input=-12664905, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-12664905","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=-12664905, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-1413","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1413, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊄⩳↩(≮⫘↔1100000010111⨐⩸⫘≮⫘↔1010101111111)∀⇚≩(≉≮⫘↔10111111111))≹⇙⪍(((≮⫘↔10010001000110⋥≓≎≮⫘↔111100001111)⊘)⇷((≮⫘↔10110101000-≮⫘↔11110111010)↺≮⫘↔100000000110⨽≮⫘↔110001010101))=NaN","reverse_text":"NaN=(⊄⩳↩(≮⫘↔1100000010111⨐⩸⫘≮⫘↔1010101111111)∀⇚≩(≉≮⫘↔10111111111))≹⇙⪍(((≮⫘↔10010001000110⋥≓≎≮⫘↔111100001111)⊘)⇷((≮⫘↔10110101000-≮⫘↔11110111010)↺≮⫘↔100000000110⨽≮⫘↔110001010101))","cot":[{"info":"≮⫘↔1100000010111⨐⩸⫘≮⫘↔1010101111111=NaN","layer":3},{"info":"≉≮⫘↔10111111111=≮⫘↔100000010010","layer":3},{"info":"NaN∀⇚≩≮⫘↔100000010010=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"≮⫘↔10010001000110⋥≓≎≮⫘↔111100001111=≮⫘↔-11000000111","layer":3},{"info":"≮⫘↔-11000000111⊘=≮⫘↔-1","layer":2},{"info":"≮⫘↔10110101000-≮⫘↔11110111010=≮⫘↔-1000010010","layer":3},{"info":"≮⫘↔100000000110⨽≮⫘↔110001010101=≮⫘↔-110000010100000001001001","layer":3},{"info":"≮⫘↔-1000010010↺≮⫘↔-110000010100000001001001=≮⫘↔-110000010100000001001001","layer":2},{"info":"≮⫘↔-1⇷≮⫘↔-110000010100000001001001=≮⫘↔-10110000101","layer":1},{"info":"NaN≹⇙⪍≮⫘↔-10110000101=NaN","layer":0}]}
{"id":317,"expression_no_base_symbol":"($1156$∀⇚≩$7616$⋳⪒($1763$⪠⩆⊳)⪐)*(($1091$↙$2801$)⋓$2980$⪘⫢$4488$)≹⇙⪍(($3355$⋷$6091$)⋥≓≎$6238$⨟⋌⩍$3029$)","expression":"(≮⫘↔10010000100∀⇚≩≮⫘↔1110111000000⋳⪒(≮⫘↔11011100011⪠⩆⊳)⪐)*((≮⫘↔10001000011↙≮⫘↔101011110001)⋓≮⫘↔101110100100⪘⫢≮⫘↔1000110001000)≹⇙⪍((≮⫘↔110100011011⋷≮⫘↔1011111001011)⋥≓≎≮⫘↔1100001011110⨟⋌⩍≮⫘↔101111010101)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10949,"operation_count":12,"complexity_ratio":912.4166666666666,"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":1156,"base":2},"right_expr":{"type":"numeric_atoms","value":7616,"base":2}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1763,"base":2}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1091,"base":2},"right_expr":{"type":"numeric_atoms","value":2801,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2980,"base":2},"right_expr":{"type":"numeric_atoms","value":4488,"base":2}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3355,"base":2},"right_expr":{"type":"numeric_atoms","value":6091,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6238,"base":2},"right_expr":{"type":"numeric_atoms","value":3029,"base":2}}}}},"used_operators":["9HNa5Wba9A","eH2TOUuTDT","12rbrZMWeM","LRNGc0VcxI","JLbD19bQDL","AHs5Up7iyr","T2fj7uvVaJ","yyfyN0ffXY","oacrs7FA3X","Qy55tPpLXF","23Mk6UjR3U","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1156","layer":4},{"info":"number node, value=7616","layer":4},{"info":"compute binary expreesion, left_input=1156, right_input=7616, 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=1763","layer":4},{"info":"compute unary expreesion, input=1763, 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=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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"info":"number node, value=1091","layer":4},{"info":"number node, value=2801","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=2801, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8403","layer":3},{"info":"number node, value=2980","layer":4},{"info":"number node, value=4488","layer":4},{"info":"compute binary expreesion, left_input=2980, right_input=4488, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5836","layer":3},{"info":"compute binary expreesion, left_input=-8403, right_input=5836, 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=3355","layer":4},{"info":"number node, value=6091","layer":4},{"info":"compute binary expreesion, left_input=3355, right_input=6091, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8827","layer":3},{"info":"number node, value=6238","layer":4},{"info":"number node, value=3029","layer":4},{"info":"compute binary expreesion, left_input=6238, right_input=3029, 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=8827, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10010000100∀⇚≩≮⫘↔1110111000000⋳⪒(≮⫘↔11011100011⪠⩆⊳)⪐)*((≮⫘↔10001000011↙≮⫘↔101011110001)⋓≮⫘↔101110100100⪘⫢≮⫘↔1000110001000)≹⇙⪍((≮⫘↔110100011011⋷≮⫘↔1011111001011)⋥≓≎≮⫘↔1100001011110⨟⋌⩍≮⫘↔101111010101)=NaN","reverse_text":"NaN=(≮⫘↔10010000100∀⇚≩≮⫘↔1110111000000⋳⪒(≮⫘↔11011100011⪠⩆⊳)⪐)*((≮⫘↔10001000011↙≮⫘↔101011110001)⋓≮⫘↔101110100100⪘⫢≮⫘↔1000110001000)≹⇙⪍((≮⫘↔110100011011⋷≮⫘↔1011111001011)⋥≓≎≮⫘↔1100001011110⨟⋌⩍≮⫘↔101111010101)","cot":[{"info":"≮⫘↔10010000100∀⇚≩≮⫘↔1110111000000=NaN","layer":3},{"info":"≮⫘↔11011100011⪠⩆⊳=≮⫘↔0","layer":3},{"info":"NaN⋳⪒≮⫘↔0=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"≮⫘↔10001000011↙≮⫘↔101011110001=≮⫘↔-10000011010011","layer":3},{"info":"≮⫘↔101110100100⪘⫢≮⫘↔1000110001000=≮⫘↔1011011001100","layer":3},{"info":"≮⫘↔-10000011010011⋓≮⫘↔1011011001100=≮⫘↔0","layer":2},{"info":"≮⫘↔110100011011⋷≮⫘↔1011111001011=≮⫘↔10001001111011","layer":3},{"info":"≮⫘↔1100001011110⨟⋌⩍≮⫘↔101111010101=NaN","layer":3},{"info":"≮⫘↔10001001111011⋥≓≎NaN=NaN","layer":2},{"info":"≮⫘↔0≹⇙⪍NaN=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":318,"expression_no_base_symbol":"((($1034$/$2234$)*($1967$⫡⨏$3546$))≭($3777$⇷$5526$⪨≂$3859$⨳⩥⨓$1362$))⨪↰⇹(∥⊫(↯⪼($1804$⨪↰⇹$2641$)))","expression":"(((≮⫘↔10000001010/≮⫘↔100010111010)*(≮⫘↔11110101111⫡⨏≮⫘↔110111011010))≭(≮⫘↔111011000001⇷≮⫘↔1010110010110⪨≂≮⫘↔111100010011⨳⩥⨓≮⫘↔10101010010))⨪↰⇹(∥⊫(↯⪼(≮⫘↔11100001100⨪↰⇹≮⫘↔101001010001)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":54742,"operation_count":11,"complexity_ratio":4976.545454545455,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1034,"base":2},"right_expr":{"type":"numeric_atoms","value":2234,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1967,"base":2},"right_expr":{"type":"numeric_atoms","value":3546,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3777,"base":2},"right_expr":{"type":"numeric_atoms","value":5526,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3859,"base":2},"right_expr":{"type":"numeric_atoms","value":1362,"base":2}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1804,"base":2},"right_expr":{"type":"numeric_atoms","value":2641,"base":2}}}}},"used_operators":["tmPS8pqC7x","rxpJgHHUmx","9HNa5Wba9A","XhwjNDsVaA","QMFrweE19q","sdazOOVcIp","mp7IySMOzn","nCS4ZIUYfx","P8v4zCKN1o","8jW3W4yZS5"],"dependent_operators":["rJVOvQCfKK","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1034","layer":4},{"info":"number node, value=2234","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=2234, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1967","layer":4},{"info":"number node, value=3546","layer":4},{"info":"compute binary expreesion, left_input=1967, right_input=3546, 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=17710","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=17710, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=3777","layer":4},{"info":"number node, value=5526","layer":4},{"info":"compute binary expreesion, left_input=3777, right_input=5526, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11052","layer":3},{"info":"number node, value=3859","layer":4},{"info":"number node, value=1362","layer":4},{"info":"compute binary expreesion, left_input=3859, right_input=1362, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2497","layer":3},{"info":"compute binary expreesion, left_input=11052, right_input=-2497, 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=27200","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=27200, 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=1804","layer":4},{"info":"number node, value=2641","layer":4},{"info":"compute binary expreesion, left_input=1804, right_input=2641, 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=1804","layer":3},{"info":"compute unary expreesion, input=1804, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=847","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=847, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10000001010/≮⫘↔100010111010)*(≮⫘↔11110101111⫡⨏≮⫘↔110111011010))≭(≮⫘↔111011000001⇷≮⫘↔1010110010110⪨≂≮⫘↔111100010011⨳⩥⨓≮⫘↔10101010010))⨪↰⇹(∥⊫(↯⪼(≮⫘↔11100001100⨪↰⇹≮⫘↔101001010001)))=NaN","reverse_text":"NaN=(((≮⫘↔10000001010/≮⫘↔100010111010)*(≮⫘↔11110101111⫡⨏≮⫘↔110111011010))≭(≮⫘↔111011000001⇷≮⫘↔1010110010110⪨≂≮⫘↔111100010011⨳⩥⨓≮⫘↔10101010010))⨪↰⇹(∥⊫(↯⪼(≮⫘↔11100001100⨪↰⇹≮⫘↔101001010001)))","cot":[{"info":"≮⫘↔10000001010/≮⫘↔100010111010=≮⫘↔0","layer":3},{"info":"≮⫘↔11110101111⫡⨏≮⫘↔110111011010=≮⫘↔100010100101110","layer":3},{"info":"≮⫘↔0*≮⫘↔100010100101110=≮⫘↔0","layer":2},{"info":"≮⫘↔111011000001⇷≮⫘↔1010110010110=≮⫘↔10101100101100","layer":3},{"info":"≮⫘↔111100010011⨳⩥⨓≮⫘↔10101010010=≮⫘↔-100111000001","layer":3},{"info":"≮⫘↔10101100101100⪨≂≮⫘↔-100111000001=≮⫘↔110101001000000","layer":2},{"info":"≮⫘↔0≭≮⫘↔110101001000000=NaN","layer":1},{"info":"≮⫘↔11100001100⨪↰⇹≮⫘↔101001010001=≮⫘↔11100001100","layer":3},{"info":"↯⪼≮⫘↔11100001100=≮⫘↔-10101","layer":2},{"info":"∥⊫≮⫘↔-10101=≮⫘↔1101001111","layer":1},{"info":"NaN⨪↰⇹≮⫘↔1101001111=NaN","layer":0}]}
{"id":319,"expression_no_base_symbol":"≤/((∂$2137$)↪⪝)⨎($1095$-$2581$)⩷∴(⨵≀≌$1907$)","expression":"≤/((∂≮⫘↔100001011001)↪⪝)⨎(≮⫘↔10001000111-≮⫘↔101000010101)⩷∴(⨵≀≌≮⫘↔11101110011)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":18,"operation_count":7,"complexity_ratio":2.5714285714285716,"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":2137,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1095,"base":2},"right_expr":{"type":"numeric_atoms","value":2581,"base":2}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1907,"base":2}}}}},"used_operators":["eLAdDNolq6","rJVOvQCfKK","l07mrZUIn9","Uaa54Peajs","9FxExcQeMw","rysDP5nf3Z","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","2DDjHMKMc0","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"≮⫘↔-1111100010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2137","layer":4},{"info":"compute unary expreesion, input=2137, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":2},{"info":"number node, value=1095","layer":4},{"info":"number node, value=2581","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=2581, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1486","layer":3},{"info":"number node, value=1907","layer":4},{"info":"compute unary expreesion, input=1907, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5721","layer":3},{"info":"compute binary expreesion, left_input=-1486, right_input=-5721, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8438","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8438, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=8438","layer":1},{"info":"compute unary expreesion, input=8438, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-7954","layer":0}],"base":2,"result_base":2,"text":"≤/((∂≮⫘↔100001011001)↪⪝)⨎(≮⫘↔10001000111-≮⫘↔101000010101)⩷∴(⨵≀≌≮⫘↔11101110011)=≮⫘↔-1111100010010","reverse_text":"≮⫘↔-1111100010010=≤/((∂≮⫘↔100001011001)↪⪝)⨎(≮⫘↔10001000111-≮⫘↔101000010101)⩷∴(⨵≀≌≮⫘↔11101110011)","cot":[{"info":"∂≮⫘↔100001011001=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"≮⫘↔10001000111-≮⫘↔101000010101=≮⫘↔-10111001110","layer":3},{"info":"⨵≀≌≮⫘↔11101110011=≮⫘↔-1011001011001","layer":3},{"info":"≮⫘↔-10111001110⩷∴≮⫘↔-1011001011001=≮⫘↔10000011110110","layer":2},{"info":"NaN⨎≮⫘↔10000011110110=≮⫘↔10000011110110","layer":1},{"info":"≤/≮⫘↔10000011110110=≮⫘↔-1111100010010","layer":0}]}
{"id":320,"expression_no_base_symbol":"(↯⪼($2088$↬$1936$⪄$1819$⪘⫢$1664$))+⇶⊼((↣≠⋷($1219$⩚⊴⇥$1783$))⋥≓≎($7593$*$1950$⫡⨏(↽≂$1307$)))","expression":"(↯⪼(≮⫘↔100000101000↬≮⫘↔11110010000⪄≮⫘↔11100011011⪘⫢≮⫘↔11010000000))+⇶⊼((↣≠⋷(≮⫘↔10011000011⩚⊴⇥≮⫘↔11011110111))⋥≓≎(≮⫘↔1110110101001*≮⫘↔11110011110⫡⨏(↽≂≮⫘↔10100011011)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6602,"operation_count":11,"complexity_ratio":600.1818181818181,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2088,"base":2},"right_expr":{"type":"numeric_atoms","value":1936,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1819,"base":2},"right_expr":{"type":"numeric_atoms","value":1664,"base":2}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1219,"base":2},"right_expr":{"type":"numeric_atoms","value":1783,"base":2}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7593,"base":2},"right_expr":{"type":"numeric_atoms","value":1950,"base":2}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1307,"base":2}}}}},"used_operators":["TpPTUOHfaN","8jW3W4yZS5","SUmda5xLS4","B5M0gjZbta","oacrs7FA3X","Qy55tPpLXF","Asc51vEJeQ","NTOWxs364D","QMFrweE19q","9HNa5Wba9A","u6S6b8DprG"],"dependent_operators":["AHs5Up7iyr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2088","layer":4},{"info":"number node, value=1936","layer":4},{"info":"compute binary expreesion, left_input=2088, right_input=1936, 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=1819","layer":4},{"info":"number node, value=1664","layer":4},{"info":"compute binary expreesion, left_input=1819, right_input=1664, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3514","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3514, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=1219","layer":4},{"info":"number node, value=1783","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=1783, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3123","layer":3},{"info":"compute unary expreesion, input=-3123, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=7593","layer":4},{"info":"number node, value=1950","layer":4},{"info":"compute binary expreesion, left_input=7593, right_input=1950, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=14806350","layer":3},{"info":"number node, value=1307","layer":4},{"info":"compute unary expreesion, input=1307, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2614","layer":3},{"info":"compute binary expreesion, left_input=14806350, right_input=-2614, 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=74027305","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=74027305, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=67, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↯⪼(≮⫘↔100000101000↬≮⫘↔11110010000⪄≮⫘↔11100011011⪘⫢≮⫘↔11010000000))+⇶⊼((↣≠⋷(≮⫘↔10011000011⩚⊴⇥≮⫘↔11011110111))⋥≓≎(≮⫘↔1110110101001*≮⫘↔11110011110⫡⨏(↽≂≮⫘↔10100011011)))=NaN","reverse_text":"NaN=(↯⪼(≮⫘↔100000101000↬≮⫘↔11110010000⪄≮⫘↔11100011011⪘⫢≮⫘↔11010000000))+⇶⊼((↣≠⋷(≮⫘↔10011000011⩚⊴⇥≮⫘↔11011110111))⋥≓≎(≮⫘↔1110110101001*≮⫘↔11110011110⫡⨏(↽≂≮⫘↔10100011011)))","cot":[{"info":"≮⫘↔100000101000↬≮⫘↔11110010000=NaN","layer":3},{"info":"≮⫘↔11100011011⪘⫢≮⫘↔11010000000=≮⫘↔110110111010","layer":3},{"info":"NaN⪄≮⫘↔110110111010=≮⫘↔111110001011","layer":2},{"info":"↯⪼≮⫘↔111110001011=≮⫘↔-10101","layer":1},{"info":"≮⫘↔10011000011⩚⊴⇥≮⫘↔11011110111=≮⫘↔-110000110011","layer":3},{"info":"↣≠⋷≮⫘↔-110000110011=NaN","layer":2},{"info":"≮⫘↔1110110101001*≮⫘↔11110011110=≮⫘↔111000011110110101001110","layer":3},{"info":"↽≂≮⫘↔10100011011=≮⫘↔-101000110110","layer":3},{"info":"≮⫘↔111000011110110101001110⫡⨏≮⫘↔-101000110110=≮⫘↔100011010011001000100101001","layer":2},{"info":"NaN⋥≓≎≮⫘↔100011010011001000100101001=≮⫘↔1000011","layer":1},{"info":"≮⫘↔-10101+⇶⊼≮⫘↔1000011=NaN","layer":0}]}
{"id":321,"expression_no_base_symbol":"($1309$⪛$1312$↛⩡⫤)⋥≓≎($4376$⪘⫢$2791$)⊴($6054$⋝⋈⪟$4484$)⨸⪁(↽≂(⨞⊢$1261$∼$1293$))","expression":"(≮⫘↔10100011101⪛≮⫘↔10100100000↛⩡⫤)⋥≓≎(≮⫘↔1000100011000⪘⫢≮⫘↔101011100111)⊴(≮⫘↔1011110100110⋝⋈⪟≮⫘↔1000110000100)⨸⪁(↽≂(⨞⊢≮⫘↔10011101101∼≮⫘↔10100001101))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12029,"operation_count":10,"complexity_ratio":1202.9,"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":1309,"base":2},"right_expr":{"type":"numeric_atoms","value":1312,"base":2}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4376,"base":2},"right_expr":{"type":"numeric_atoms","value":2791,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6054,"base":2},"right_expr":{"type":"numeric_atoms","value":4484,"base":2}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1261,"base":2},"right_expr":{"type":"numeric_atoms","value":1293,"base":2}}}}},"used_operators":["g55IO6H4Gj","Qy55tPpLXF","FU0Cs4j7VP","uFcxV4UQCh","Nsiff2A1zJ","oacrs7FA3X","2DDjHMKMc0","u6S6b8DprG","xUOZtlo3hN","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1309","layer":4},{"info":"number node, value=1312","layer":4},{"info":"compute binary expreesion, left_input=1309, right_input=1312, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1309","layer":3},{"info":"compute unary expreesion, input=1309, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-193748","layer":2},{"info":"number node, value=4376","layer":4},{"info":"number node, value=2791","layer":4},{"info":"compute binary expreesion, left_input=4376, right_input=2791, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8628","layer":3},{"info":"number node, value=6054","layer":4},{"info":"number node, value=4484","layer":4},{"info":"compute binary expreesion, left_input=6054, right_input=4484, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6054","layer":3},{"info":"compute binary expreesion, left_input=8628, right_input=6054, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-193748, right_input=nan, 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=1261","layer":4},{"info":"number node, value=1293","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=1293, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', 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":"compute binary expreesion, left_input=67, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10100011101⪛≮⫘↔10100100000↛⩡⫤)⋥≓≎(≮⫘↔1000100011000⪘⫢≮⫘↔101011100111)⊴(≮⫘↔1011110100110⋝⋈⪟≮⫘↔1000110000100)⨸⪁(↽≂(⨞⊢≮⫘↔10011101101∼≮⫘↔10100001101))=NaN","reverse_text":"NaN=(≮⫘↔10100011101⪛≮⫘↔10100100000↛⩡⫤)⋥≓≎(≮⫘↔1000100011000⪘⫢≮⫘↔101011100111)⊴(≮⫘↔1011110100110⋝⋈⪟≮⫘↔1000110000100)⨸⪁(↽≂(⨞⊢≮⫘↔10011101101∼≮⫘↔10100001101))","cot":[{"info":"≮⫘↔10100011101⪛≮⫘↔10100100000=≮⫘↔10100011101","layer":3},{"info":"≮⫘↔10100011101↛⩡⫤=≮⫘↔-101111010011010100","layer":2},{"info":"≮⫘↔1000100011000⪘⫢≮⫘↔101011100111=≮⫘↔10000110110100","layer":3},{"info":"≮⫘↔1011110100110⋝⋈⪟≮⫘↔1000110000100=≮⫘↔1011110100110","layer":3},{"info":"≮⫘↔10000110110100⊴≮⫘↔1011110100110=NaN","layer":2},{"info":"≮⫘↔-101111010011010100⋥≓≎NaN=≮⫘↔1000011","layer":1},{"info":"≮⫘↔10011101101∼≮⫘↔10100001101=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"≮⫘↔1000011⨸⪁NaN=NaN","layer":0}]}
{"id":322,"expression_no_base_symbol":"(($1273$⫥∨⫟$4535$⇼⇔∾($3832$⩨$1592$))⋥≓≎(⊄⩳↩($2600$⊘)))⨰(≉$1942$∼$5909$⋓($4757$≧⫂∧$8355$))","expression":"((≮⫘↔10011111001⫥∨⫟≮⫘↔1000110110111⇼⇔∾(≮⫘↔111011111000⩨≮⫘↔11000111000))⋥≓≎(⊄⩳↩(≮⫘↔101000101000⊘)))⨰(≉≮⫘↔11110010110∼≮⫘↔1011100010101⋓(≮⫘↔1001010010101≧⫂∧≮⫘↔10000010100011))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":246,"operation_count":11,"complexity_ratio":22.363636363636363,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1273,"base":2},"right_expr":{"type":"numeric_atoms","value":4535,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3832,"base":2},"right_expr":{"type":"numeric_atoms","value":1592,"base":2}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2600,"base":2}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1942,"base":2},"right_expr":{"type":"numeric_atoms","value":5909,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4757,"base":2},"right_expr":{"type":"numeric_atoms","value":8355,"base":2}}}}},"used_operators":["eewbuw0ToL","Qy55tPpLXF","tifHPKVTfV","KYD54nUTWz","2DlMacCsIx","8w2t5hMYqp","gu96TGCTMs","e1ybzncUwg","T2fj7uvVaJ","DyGG3AbaNP","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-111000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1273","layer":4},{"info":"number node, value=4535","layer":4},{"info":"compute binary expreesion, left_input=1273, right_input=4535, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3832","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=3832, right_input=1592, 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=nan, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=2600","layer":4},{"info":"compute unary expreesion, input=2600, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, 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=1942","layer":4},{"info":"number node, value=5909","layer":4},{"info":"compute binary expreesion, left_input=1942, right_input=5909, 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=4757","layer":4},{"info":"number node, value=8355","layer":4},{"info":"compute binary expreesion, left_input=4757, right_input=8355, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7882","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7882, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=531, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-454","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10011111001⫥∨⫟≮⫘↔1000110110111⇼⇔∾(≮⫘↔111011111000⩨≮⫘↔11000111000))⋥≓≎(⊄⩳↩(≮⫘↔101000101000⊘)))⨰(≉≮⫘↔11110010110∼≮⫘↔1011100010101⋓(≮⫘↔1001010010101≧⫂∧≮⫘↔10000010100011))=≮⫘↔-111000110","reverse_text":"≮⫘↔-111000110=((≮⫘↔10011111001⫥∨⫟≮⫘↔1000110110111⇼⇔∾(≮⫘↔111011111000⩨≮⫘↔11000111000))⋥≓≎(⊄⩳↩(≮⫘↔101000101000⊘)))⨰(≉≮⫘↔11110010110∼≮⫘↔1011100010101⋓(≮⫘↔1001010010101≧⫂∧≮⫘↔10000010100011))","cot":[{"info":"≮⫘↔10011111001⫥∨⫟≮⫘↔1000110110111=NaN","layer":3},{"info":"≮⫘↔111011111000⩨≮⫘↔11000111000=≮⫘↔0","layer":3},{"info":"NaN⇼⇔∾≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔101000101000⊘=≮⫘↔0","layer":3},{"info":"⊄⩳↩≮⫘↔0=≮⫘↔0","layer":2},{"info":"NaN⋥≓≎≮⫘↔0=≮⫘↔1000011","layer":1},{"info":"≮⫘↔11110010110∼≮⫘↔1011100010101=NaN","layer":3},{"info":"≮⫘↔1001010010101≧⫂∧≮⫘↔10000010100011=≮⫘↔1111011001010","layer":3},{"info":"NaN⋓≮⫘↔1111011001010=≮⫘↔0","layer":2},{"info":"≉≮⫘↔0=≮⫘↔1000010011","layer":1},{"info":"≮⫘↔1000011⨰≮⫘↔1000010011=≮⫘↔-111000110","layer":0}]}
{"id":323,"expression_no_base_symbol":"(≉($1221$⩨$2601$))∀⇚≩(↩($1307$+$1107$))+⇶⊼($1093$⩷∴$3456$⋝⋈⪟(⪲⇎$6667$)⨳⩥⨓((⫛⫱⨽$1658$)↺($1577$⊪)))","expression":"(≉(≮⫘↔10011000101⩨≮⫘↔101000101001))∀⇚≩(↩(≮⫘↔10100011011+≮⫘↔10001010011))+⇶⊼(≮⫘↔10001000101⩷∴≮⫘↔110110000000⋝⋈⪟(⪲⇎≮⫘↔1101000001011)⨳⩥⨓((⫛⫱⨽≮⫘↔11001111010)↺(≮⫘↔11000101001⊪)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5171,"operation_count":13,"complexity_ratio":397.7692307692308,"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":1221,"base":2},"right_expr":{"type":"numeric_atoms","value":2601,"base":2}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1307,"base":2},"right_expr":{"type":"numeric_atoms","value":1107,"base":2}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1093,"base":2},"right_expr":{"type":"numeric_atoms","value":3456,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":6667,"base":2}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1658,"base":2}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1577,"base":2}}}}},"used_operators":["TpPTUOHfaN","LRNGc0VcxI","e1ybzncUwg","2DlMacCsIx","jLgFTUHLKL","W4YGzv6Whe","nCS4ZIUYfx","2DDjHMKMc0","9FxExcQeMw","XPYlsWDdGa","7j4O788W3g","DlLNRPXxWL","zVYPLywUTj"],"dependent_operators":["AHs5Up7iyr","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1221","layer":4},{"info":"number node, value=2601","layer":4},{"info":"compute binary expreesion, left_input=1221, right_input=2601, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=525","layer":2},{"info":"number node, value=1307","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=1307, right_input=1107, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2414","layer":3},{"info":"compute unary expreesion, input=2414, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-16532","layer":2},{"info":"compute binary expreesion, left_input=525, right_input=-16532, 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=1093","layer":4},{"info":"number node, value=3456","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=3456, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4758","layer":3},{"info":"number node, value=6667","layer":4},{"info":"compute unary expreesion, input=6667, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=13334","layer":3},{"info":"compute binary expreesion, left_input=-4758, right_input=13334, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-4758","layer":2},{"info":"number node, value=1658","layer":4},{"info":"compute unary expreesion, input=1658, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1577","layer":4},{"info":"compute unary expreesion, input=1577, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 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=-4758, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4758","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4758, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≉(≮⫘↔10011000101⩨≮⫘↔101000101001))∀⇚≩(↩(≮⫘↔10100011011+≮⫘↔10001010011))+⇶⊼(≮⫘↔10001000101⩷∴≮⫘↔110110000000⋝⋈⪟(⪲⇎≮⫘↔1101000001011)⨳⩥⨓((⫛⫱⨽≮⫘↔11001111010)↺(≮⫘↔11000101001⊪)))=NaN","reverse_text":"NaN=(≉(≮⫘↔10011000101⩨≮⫘↔101000101001))∀⇚≩(↩(≮⫘↔10100011011+≮⫘↔10001010011))+⇶⊼(≮⫘↔10001000101⩷∴≮⫘↔110110000000⋝⋈⪟(⪲⇎≮⫘↔1101000001011)⨳⩥⨓((⫛⫱⨽≮⫘↔11001111010)↺(≮⫘↔11000101001⊪)))","cot":[{"info":"≮⫘↔10011000101⩨≮⫘↔101000101001=≮⫘↔-110","layer":3},{"info":"≉≮⫘↔-110=≮⫘↔1000001101","layer":2},{"info":"≮⫘↔10100011011+≮⫘↔10001010011=≮⫘↔100101101110","layer":3},{"info":"↩≮⫘↔100101101110=≮⫘↔-100000010010100","layer":2},{"info":"≮⫘↔1000001101∀⇚≩≮⫘↔-100000010010100=NaN","layer":1},{"info":"≮⫘↔10001000101⩷∴≮⫘↔110110000000=≮⫘↔-1001010010110","layer":3},{"info":"⪲⇎≮⫘↔1101000001011=≮⫘↔11010000010110","layer":3},{"info":"≮⫘↔-1001010010110⋝⋈⪟≮⫘↔11010000010110=≮⫘↔-1001010010110","layer":2},{"info":"⫛⫱⨽≮⫘↔11001111010=≮⫘↔0","layer":3},{"info":"≮⫘↔11000101001⊪=≮⫘↔0","layer":3},{"info":"≮⫘↔0↺≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔-1001010010110⨳⩥⨓≮⫘↔0=≮⫘↔1001010010110","layer":1},{"info":"NaN+⇶⊼≮⫘↔1001010010110=NaN","layer":0}]}
{"id":324,"expression_no_base_symbol":"($7787$⪘⫢$2144$⩚⊴⇥($2822$∧))≧⫂∧($2876$≹⇙⪍$6058$⋝⋈⪟$7681$∑⇟⊟$2566$)⊭∹↮","expression":"(≮⫘↔1111001101011⪘⫢≮⫘↔100001100000⩚⊴⇥(≮⫘↔101100000110∧))≧⫂∧(≮⫘↔101100111100≹⇙⪍≮⫘↔1011110101010⋝⋈⪟≮⫘↔1111000000001∑⇟⊟≮⫘↔101000000110)⊭∹↮","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":36,"operation_count":8,"complexity_ratio":4.5,"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":7787,"base":2},"right_expr":{"type":"numeric_atoms","value":2144,"base":2}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2822,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2876,"base":2},"right_expr":{"type":"numeric_atoms","value":6058,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7681,"base":2},"right_expr":{"type":"numeric_atoms","value":2566,"base":2}}}}},"used_operators":["xNBdhnnwKq","Ph9nP6C5qx","NTOWxs364D","oacrs7FA3X","z63VuFQld9","2DDjHMKMc0","AHs5Up7iyr","U7g4x0WXJJ"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7787","layer":4},{"info":"number node, value=2144","layer":4},{"info":"compute binary expreesion, left_input=7787, right_input=2144, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=15450","layer":3},{"info":"number node, value=2822","layer":4},{"info":"compute unary expreesion, input=2822, 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=15450, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=2876","layer":4},{"info":"number node, value=6058","layer":4},{"info":"compute binary expreesion, left_input=2876, right_input=6058, 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=7681","layer":4},{"info":"number node, value=2566","layer":4},{"info":"compute binary expreesion, left_input=7681, right_input=2566, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1111001101011⪘⫢≮⫘↔100001100000⩚⊴⇥(≮⫘↔101100000110∧))≧⫂∧(≮⫘↔101100111100≹⇙⪍≮⫘↔1011110101010⋝⋈⪟≮⫘↔1111000000001∑⇟⊟≮⫘↔101000000110)⊭∹↮=NaN","reverse_text":"NaN=(≮⫘↔1111001101011⪘⫢≮⫘↔100001100000⩚⊴⇥(≮⫘↔101100000110∧))≧⫂∧(≮⫘↔101100111100≹⇙⪍≮⫘↔1011110101010⋝⋈⪟≮⫘↔1111000000001∑⇟⊟≮⫘↔101000000110)⊭∹↮","cot":[{"info":"≮⫘↔1111001101011⪘⫢≮⫘↔100001100000=≮⫘↔11110001011010","layer":3},{"info":"≮⫘↔101100000110∧=NaN","layer":3},{"info":"≮⫘↔11110001011010⩚⊴⇥NaN=NaN","layer":2},{"info":"≮⫘↔101100111100≹⇙⪍≮⫘↔1011110101010=NaN","layer":3},{"info":"≮⫘↔1111000000001∑⇟⊟≮⫘↔101000000110=NaN","layer":3},{"info":"NaN⋝⋈⪟NaN=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":325,"expression_no_base_symbol":"(($1937$∲⫓$4467$)⨽$2928$⪢$2829$↛⩡⫤)⨵⪆(($1134$⨎$4116$⫡⨏(≦∁$5108$))⪐)","expression":"((≮⫘↔11110010001∲⫓≮⫘↔1000101110011)⨽≮⫘↔101101110000⪢≮⫘↔101100001101↛⩡⫤)⨵⪆((≮⫘↔10001101110⨎≮⫘↔1000000010100⫡⨏(≦∁≮⫘↔1001111110100))⪐)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4431,"operation_count":9,"complexity_ratio":492.3333333333333,"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":1937,"base":2},"right_expr":{"type":"numeric_atoms","value":4467,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2928,"base":2},"right_expr":{"type":"numeric_atoms","value":2829,"base":2}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1134,"base":2},"right_expr":{"type":"numeric_atoms","value":4116,"base":2}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5108,"base":2}}}}},"used_operators":["2DQ55sFlQl","FU0Cs4j7VP","8HhzD0ZcuI","i8ToyICDmI","dWAJyo7jo9","eH2TOUuTDT","QMFrweE19q","rJVOvQCfKK","9ICcGScMcE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1937","layer":4},{"info":"number node, value=4467","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=4467, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2928","layer":4},{"info":"number node, value=2829","layer":4},{"info":"compute binary expreesion, left_input=2928, right_input=2829, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*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":"number node, value=1134","layer":4},{"info":"number node, value=4116","layer":4},{"info":"compute binary expreesion, left_input=1134, right_input=4116, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4116","layer":3},{"info":"number node, value=5108","layer":4},{"info":"compute unary expreesion, input=5108, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5108","layer":3},{"info":"compute binary expreesion, left_input=4116, right_input=5108, 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=31579","layer":2},{"info":"compute unary expreesion, input=31579, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=63158","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=63158, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11110010001∲⫓≮⫘↔1000101110011)⨽≮⫘↔101101110000⪢≮⫘↔101100001101↛⩡⫤)⨵⪆((≮⫘↔10001101110⨎≮⫘↔1000000010100⫡⨏(≦∁≮⫘↔1001111110100))⪐)=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=((≮⫘↔11110010001∲⫓≮⫘↔1000101110011)⨽≮⫘↔101101110000⪢≮⫘↔101100001101↛⩡⫤)⨵⪆((≮⫘↔10001101110⨎≮⫘↔1000000010100⫡⨏(≦∁≮⫘↔1001111110100))⪐)","cot":[{"info":"≮⫘↔11110010001∲⫓≮⫘↔1000101110011=≮⫘↔0","layer":3},{"info":"≮⫘↔101101110000⪢≮⫘↔101100001101=NaN","layer":3},{"info":"≮⫘↔0⨽NaN=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"≮⫘↔10001101110⨎≮⫘↔1000000010100=≮⫘↔1000000010100","layer":3},{"info":"≦∁≮⫘↔1001111110100=≮⫘↔1001111110100","layer":3},{"info":"≮⫘↔1000000010100⫡⨏≮⫘↔1001111110100=≮⫘↔111101101011011","layer":2},{"info":"≮⫘↔111101101011011⪐=≮⫘↔1111011010110110","layer":1},{"info":"NaN⨵⪆≮⫘↔1111011010110110=≮⫘↔10100000","layer":0}]}
{"id":326,"expression_no_base_symbol":"↩(($3468$⫌⩹⨱)⫥∨⫟(↩$2457$))∼($3114$∑⇟⊟$6178$⨎($7479$-$1971$))","expression":"↩((≮⫘↔110110001100⫌⩹⨱)⫥∨⫟(↩≮⫘↔100110011001))∼(≮⫘↔110000101010∑⇟⊟≮⫘↔1100000100010⨎(≮⫘↔1110100110111-≮⫘↔11110110011))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":202,"operation_count":8,"complexity_ratio":25.25,"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":3468,"base":2}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2457,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3114,"base":2},"right_expr":{"type":"numeric_atoms","value":6178,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7479,"base":2},"right_expr":{"type":"numeric_atoms","value":1971,"base":2}}}}},"used_operators":["jLgFTUHLKL","DyGG3AbaNP","KYD54nUTWz","EBcxylXtPf","rJVOvQCfKK","U7g4x0WXJJ","rysDP5nf3Z"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3468","layer":4},{"info":"compute unary expreesion, input=3468, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8337","layer":3},{"info":"number node, value=2457","layer":4},{"info":"compute unary expreesion, input=2457, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-16876","layer":3},{"info":"compute binary expreesion, left_input=8337, right_input=-16876, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3114","layer":4},{"info":"number node, value=6178","layer":4},{"info":"compute binary expreesion, left_input=3114, right_input=6178, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=7479","layer":4},{"info":"number node, value=1971","layer":4},{"info":"compute binary expreesion, left_input=7479, right_input=1971, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5508","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5508, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5508","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5508, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↩((≮⫘↔110110001100⫌⩹⨱)⫥∨⫟(↩≮⫘↔100110011001))∼(≮⫘↔110000101010∑⇟⊟≮⫘↔1100000100010⨎(≮⫘↔1110100110111-≮⫘↔11110110011))=NaN","reverse_text":"NaN=↩((≮⫘↔110110001100⫌⩹⨱)⫥∨⫟(↩≮⫘↔100110011001))∼(≮⫘↔110000101010∑⇟⊟≮⫘↔1100000100010⨎(≮⫘↔1110100110111-≮⫘↔11110110011))","cot":[{"info":"≮⫘↔110110001100⫌⩹⨱=≮⫘↔10000010010001","layer":3},{"info":"↩≮⫘↔100110011001=≮⫘↔-100000111101100","layer":3},{"info":"≮⫘↔10000010010001⫥∨⫟≮⫘↔-100000111101100=NaN","layer":2},{"info":"≮⫘↔110000101010∑⇟⊟≮⫘↔1100000100010=NaN","layer":3},{"info":"≮⫘↔1110100110111-≮⫘↔11110110011=≮⫘↔1010110000100","layer":3},{"info":"NaN⨎≮⫘↔1010110000100=≮⫘↔1010110000100","layer":2},{"info":"NaN∼≮⫘↔1010110000100=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":327,"expression_no_base_symbol":"(($6289$⩨$1962$)⩚⊴⇥$1549$⩷∴$1445$)⋝⋈⪟($1194$⊭↱$3774$-$1547$⇷$2381$)⪒($3504$⪘⫢$3435$∸)∑⇟⊟($4087$⊴$2561$⋝⋈⪟($3983$↙$5853$))","expression":"((≮⫘↔1100010010001⩨≮⫘↔11110101010)⩚⊴⇥≮⫘↔11000001101⩷∴≮⫘↔10110100101)⋝⋈⪟(≮⫘↔10010101010⊭↱≮⫘↔111010111110-≮⫘↔11000001011⇷≮⫘↔100101001101)⪒(≮⫘↔110110110000⪘⫢≮⫘↔110101101011∸)∑⇟⊟(≮⫘↔111111110111⊴≮⫘↔101000000001⋝⋈⪟(≮⫘↔111110001111↙≮⫘↔1011011011101))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":36034,"operation_count":14,"complexity_ratio":2573.8571428571427,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6289,"base":2},"right_expr":{"type":"numeric_atoms","value":1962,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1549,"base":2},"right_expr":{"type":"numeric_atoms","value":1445,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1194,"base":2},"right_expr":{"type":"numeric_atoms","value":3774,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1547,"base":2},"right_expr":{"type":"numeric_atoms","value":2381,"base":2}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3504,"base":2},"right_expr":{"type":"numeric_atoms","value":3435,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4087,"base":2},"right_expr":{"type":"numeric_atoms","value":2561,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3983,"base":2},"right_expr":{"type":"numeric_atoms","value":5853,"base":2}}}}},"used_operators":["f6k1SAg4EE","2DDjHMKMc0","NTOWxs364D","2DlMacCsIx","9FxExcQeMw","rysDP5nf3Z","COABgblf1C","mp7IySMOzn","U7g4x0WXJJ","o20kRiQErp","oacrs7FA3X","Nsiff2A1zJ","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6289","layer":4},{"info":"number node, value=1962","layer":4},{"info":"compute binary expreesion, left_input=6289, right_input=1962, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1549","layer":4},{"info":"number node, value=1445","layer":4},{"info":"compute binary expreesion, left_input=1549, right_input=1445, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=176","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=176, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-297","layer":2},{"info":"number node, value=1194","layer":4},{"info":"number node, value=3774","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=3774, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5165","layer":3},{"info":"number node, value=1547","layer":4},{"info":"number node, value=2381","layer":4},{"info":"compute binary expreesion, left_input=1547, right_input=2381, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4762","layer":3},{"info":"compute binary expreesion, left_input=5165, right_input=4762, op_id = rysDP5nf3Z binary_op_definition= 'None', output=403","layer":2},{"info":"compute binary expreesion, left_input=-297, right_input=403, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-297","layer":1},{"info":"number node, value=3504","layer":4},{"info":"number node, value=3435","layer":4},{"info":"compute binary expreesion, left_input=3504, right_input=3435, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6884","layer":3},{"info":"compute unary expreesion, input=6884, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=4087","layer":4},{"info":"number node, value=2561","layer":4},{"info":"compute binary expreesion, left_input=4087, right_input=2561, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3983","layer":4},{"info":"number node, value=5853","layer":4},{"info":"compute binary expreesion, left_input=3983, right_input=5853, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-17559","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-17559, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=177, 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=-297, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1100010010001⩨≮⫘↔11110101010)⩚⊴⇥≮⫘↔11000001101⩷∴≮⫘↔10110100101)⋝⋈⪟(≮⫘↔10010101010⊭↱≮⫘↔111010111110-≮⫘↔11000001011⇷≮⫘↔100101001101)⪒(≮⫘↔110110110000⪘⫢≮⫘↔110101101011∸)∑⇟⊟(≮⫘↔111111110111⊴≮⫘↔101000000001⋝⋈⪟(≮⫘↔111110001111↙≮⫘↔1011011011101))=NaN","reverse_text":"NaN=((≮⫘↔1100010010001⩨≮⫘↔11110101010)⩚⊴⇥≮⫘↔11000001101⩷∴≮⫘↔10110100101)⋝⋈⪟(≮⫘↔10010101010⊭↱≮⫘↔111010111110-≮⫘↔11000001011⇷≮⫘↔100101001101)⪒(≮⫘↔110110110000⪘⫢≮⫘↔110101101011∸)∑⇟⊟(≮⫘↔111111110111⊴≮⫘↔101000000001⋝⋈⪟(≮⫘↔111110001111↙≮⫘↔1011011011101))","cot":[{"info":"≮⫘↔1100010010001⩨≮⫘↔11110101010=≮⫘↔0","layer":3},{"info":"≮⫘↔11000001101⩷∴≮⫘↔10110100101=≮⫘↔10110000","layer":3},{"info":"≮⫘↔0⩚⊴⇥≮⫘↔10110000=≮⫘↔-100101001","layer":2},{"info":"≮⫘↔10010101010⊭↱≮⫘↔111010111110=≮⫘↔1010000101101","layer":3},{"info":"≮⫘↔11000001011⇷≮⫘↔100101001101=≮⫘↔1001010011010","layer":3},{"info":"≮⫘↔1010000101101-≮⫘↔1001010011010=≮⫘↔110010011","layer":2},{"info":"≮⫘↔-100101001⋝⋈⪟≮⫘↔110010011=≮⫘↔-100101001","layer":1},{"info":"≮⫘↔110110110000⪘⫢≮⫘↔110101101011=≮⫘↔1101011100100","layer":3},{"info":"≮⫘↔1101011100100∸=≮⫘↔10110001","layer":2},{"info":"≮⫘↔111111110111⊴≮⫘↔101000000001=NaN","layer":3},{"info":"≮⫘↔111110001111↙≮⫘↔1011011011101=≮⫘↔-100010010010111","layer":3},{"info":"NaN⋝⋈⪟≮⫘↔-100010010010111=NaN","layer":2},{"info":"≮⫘↔10110001∑⇟⊟NaN=NaN","layer":1},{"info":"≮⫘↔-100101001⪒NaN=NaN","layer":0}]}
{"id":328,"expression_no_base_symbol":"((($3919$⊪)⇷($2654$⪄$1926$))∧)≎⊠⪸($1062$⩷∴$1034$⪨≂(⨑⩽⪐$8333$))∑⇟⊟((↔$1334$)≭(⫛⫱⨽$1241$))","expression":"(((≮⫘↔111101001111⊪)⇷(≮⫘↔101001011110⪄≮⫘↔11110000110))∧)≎⊠⪸(≮⫘↔10000100110⩷∴≮⫘↔10000001010⪨≂(⨑⩽⪐≮⫘↔10000010001101))∑⇟⊟((↔≮⫘↔10100110110)≭(⫛⫱⨽≮⫘↔10011011001))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4446,"operation_count":12,"complexity_ratio":370.5,"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":3919,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2654,"base":2},"right_expr":{"type":"numeric_atoms","value":1926,"base":2}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1062,"base":2},"right_expr":{"type":"numeric_atoms","value":1034,"base":2}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":8333,"base":2}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1334,"base":2}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1241,"base":2}}}}},"used_operators":["bJkvcejdHO","z63VuFQld9","mp7IySMOzn","zVYPLywUTj","SUmda5xLS4","U7g4x0WXJJ","sdazOOVcIp","9FxExcQeMw","AF7qkfDlqP","rxpJgHHUmx","ruOEQAzv1W","DlLNRPXxWL"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rGHVDoGpnC"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3919","layer":4},{"info":"compute unary expreesion, input=3919, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=2654","layer":4},{"info":"number node, value=1926","layer":4},{"info":"compute binary expreesion, left_input=2654, right_input=1926, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-396585","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-396585, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":1},{"info":"number node, value=1062","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=1034, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=24","layer":3},{"info":"number node, value=8333","layer":4},{"info":"compute unary expreesion, input=8333, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-8060","layer":3},{"info":"compute binary expreesion, left_input=24, right_input=-8060, 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=16270","layer":2},{"info":"number node, value=1334","layer":4},{"info":"compute unary expreesion, input=1334, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1061","layer":3},{"info":"number node, value=1241","layer":4},{"info":"compute unary expreesion, input=1241, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1061, right_input=0, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=-22","layer":2},{"info":"compute binary expreesion, left_input=16270, right_input=-22, 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=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":0}],"base":2,"result_base":2,"text":"(((≮⫘↔111101001111⊪)⇷(≮⫘↔101001011110⪄≮⫘↔11110000110))∧)≎⊠⪸(≮⫘↔10000100110⩷∴≮⫘↔10000001010⪨≂(⨑⩽⪐≮⫘↔10000010001101))∑⇟⊟((↔≮⫘↔10100110110)≭(⫛⫱⨽≮⫘↔10011011001))=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=(((≮⫘↔111101001111⊪)⇷(≮⫘↔101001011110⪄≮⫘↔11110000110))∧)≎⊠⪸(≮⫘↔10000100110⩷∴≮⫘↔10000001010⪨≂(⨑⩽⪐≮⫘↔10000010001101))∑⇟⊟((↔≮⫘↔10100110110)≭(⫛⫱⨽≮⫘↔10011011001))","cot":[{"info":"≮⫘↔111101001111⊪=≮⫘↔0","layer":3},{"info":"≮⫘↔101001011110⪄≮⫘↔11110000110=≮⫘↔-1100000110100101001","layer":3},{"info":"≮⫘↔0⇷≮⫘↔-1100000110100101001=≮⫘↔0","layer":2},{"info":"≮⫘↔0∧=≮⫘↔0","layer":1},{"info":"≮⫘↔10000100110⩷∴≮⫘↔10000001010=≮⫘↔11000","layer":3},{"info":"⨑⩽⪐≮⫘↔10000010001101=≮⫘↔-1111101111100","layer":3},{"info":"≮⫘↔11000⪨≂≮⫘↔-1111101111100=≮⫘↔11111110001110","layer":2},{"info":"↔≮⫘↔10100110110=≮⫘↔-10000100101","layer":3},{"info":"⫛⫱⨽≮⫘↔10011011001=≮⫘↔0","layer":3},{"info":"≮⫘↔-10000100101≭≮⫘↔0=≮⫘↔-10110","layer":2},{"info":"≮⫘↔11111110001110∑⇟⊟≮⫘↔-10110=NaN","layer":1},{"info":"≮⫘↔0≎⊠⪸NaN=≮⫘↔1000011","layer":0}]}
{"id":329,"expression_no_base_symbol":"(-$1108$⩚⊴⇥$2473$+⇶⊼($1214$⪐))⨵⪆(⨵≀≌$1254$)∑⇟⊟($6728$⊭↱$1492$)⫸⊐($7653$∀⇚≩$2635$∲⫓(⨵≀≌$1812$))","expression":"(-≮⫘↔10001010100⩚⊴⇥≮⫘↔100110101001+⇶⊼(≮⫘↔10010111110⪐))⨵⪆(⨵≀≌≮⫘↔10011100110)∑⇟⊟(≮⫘↔1101001001000⊭↱≮⫘↔10111010100)⫸⊐(≮⫘↔1110111100101∀⇚≩≮⫘↔101001001011∲⫓(⨵≀≌≮⫘↔11100010100))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":53597,"operation_count":12,"complexity_ratio":4466.416666666667,"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":1108,"base":2},"right_expr":{"type":"numeric_atoms","value":2473,"base":2}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1214,"base":2}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1254,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6728,"base":2},"right_expr":{"type":"numeric_atoms","value":1492,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":7653,"base":2},"right_expr":{"type":"numeric_atoms","value":2635,"base":2}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1812,"base":2}}}}},"used_operators":["2DQ55sFlQl","t8gj7n24qd","TpPTUOHfaN","NTOWxs364D","eH2TOUuTDT","mqXw5SEYmG","U7g4x0WXJJ","srAu1WTS94","COABgblf1C","i8ToyICDmI","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1108","layer":4},{"info":"number node, value=2473","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=2473, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3702","layer":3},{"info":"number node, value=1214","layer":4},{"info":"compute unary expreesion, input=1214, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2428","layer":3},{"info":"compute binary expreesion, left_input=-3702, right_input=2428, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"number node, value=1254","layer":4},{"info":"compute unary expreesion, input=1254, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3762","layer":3},{"info":"number node, value=6728","layer":4},{"info":"number node, value=1492","layer":4},{"info":"compute binary expreesion, left_input=6728, right_input=1492, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-10467","layer":3},{"info":"compute binary expreesion, left_input=-3762, right_input=-10467, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=7653","layer":4},{"info":"number node, value=2635","layer":4},{"info":"compute binary expreesion, left_input=7653, right_input=2635, 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=1812","layer":4},{"info":"compute unary expreesion, input=1812, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5436","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5436, 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 = 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(-≮⫘↔10001010100⩚⊴⇥≮⫘↔100110101001+⇶⊼(≮⫘↔10010111110⪐))⨵⪆(⨵≀≌≮⫘↔10011100110)∑⇟⊟(≮⫘↔1101001001000⊭↱≮⫘↔10111010100)⫸⊐(≮⫘↔1110111100101∀⇚≩≮⫘↔101001001011∲⫓(⨵≀≌≮⫘↔11100010100))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(-≮⫘↔10001010100⩚⊴⇥≮⫘↔100110101001+⇶⊼(≮⫘↔10010111110⪐))⨵⪆(⨵≀≌≮⫘↔10011100110)∑⇟⊟(≮⫘↔1101001001000⊭↱≮⫘↔10111010100)⫸⊐(≮⫘↔1110111100101∀⇚≩≮⫘↔101001001011∲⫓(⨵≀≌≮⫘↔11100010100))","cot":[{"info":"≮⫘↔10001010100⩚⊴⇥≮⫘↔100110101001=≮⫘↔-111001110110","layer":3},{"info":"≮⫘↔10010111110⪐=≮⫘↔100101111100","layer":3},{"info":"≮⫘↔-111001110110+⇶⊼≮⫘↔100101111100=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⨵≀≌≮⫘↔10011100110=≮⫘↔-111010110010","layer":3},{"info":"≮⫘↔1101001001000⊭↱≮⫘↔10111010100=≮⫘↔-10100011100011","layer":3},{"info":"≮⫘↔-111010110010∑⇟⊟≮⫘↔-10100011100011=NaN","layer":2},{"info":"≮⫘↔1110111100101∀⇚≩≮⫘↔101001001011=NaN","layer":3},{"info":"⨵≀≌≮⫘↔11100010100=≮⫘↔-1010100111100","layer":3},{"info":"NaN∲⫓≮⫘↔-1010100111100=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"NaN⨵⪆NaN=≮⫘↔10100000","layer":0}]}
{"id":330,"expression_no_base_symbol":"(($2474$≭$1404$⪠⩆⊳)≎⊠⪸(($2582$↪⪝)⋷$2951$⩷∴$3232$))↬(($1067$⩨$1846$)↙(≤/$1575$))⊴($5209$⊴$1537$≭$3838$≹⇙⪍$2470$)","expression":"((≮⫘↔100110101010≭≮⫘↔10101111100⪠⩆⊳)≎⊠⪸((≮⫘↔101000010110↪⪝)⋷≮⫘↔101110000111⩷∴≮⫘↔110010100000))↬((≮⫘↔10000101011⩨≮⫘↔11100110110)↙(≤/≮⫘↔11000100111))⊴(≮⫘↔1010001011001⊴≮⫘↔11000000001≭≮⫘↔111011111110≹⇙⪍≮⫘↔100110100110)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9437,"operation_count":14,"complexity_ratio":674.0714285714286,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2474,"base":2},"right_expr":{"type":"numeric_atoms","value":1404,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2582,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2951,"base":2},"right_expr":{"type":"numeric_atoms","value":3232,"base":2}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1067,"base":2},"right_expr":{"type":"numeric_atoms","value":1846,"base":2}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1575,"base":2}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5209,"base":2},"right_expr":{"type":"numeric_atoms","value":1537,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3838,"base":2},"right_expr":{"type":"numeric_atoms","value":2470,"base":2}}}}},"used_operators":["B5M0gjZbta","bJkvcejdHO","JLbD19bQDL","rxpJgHHUmx","23Mk6UjR3U","l07mrZUIn9","9FxExcQeMw","Nsiff2A1zJ","yyfyN0ffXY","2DlMacCsIx","eLAdDNolq6","AHs5Up7iyr"],"dependent_operators":["rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2474","layer":4},{"info":"number node, value=1404","layer":4},{"info":"compute binary expreesion, left_input=2474, right_input=1404, 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 = 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":2},{"info":"number node, value=2582","layer":4},{"info":"compute unary expreesion, input=2582, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=157971924","layer":3},{"info":"number node, value=2951","layer":4},{"info":"number node, value=3232","layer":4},{"info":"compute binary expreesion, left_input=2951, right_input=3232, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-594","layer":3},{"info":"compute binary expreesion, left_input=157971924, right_input=-594, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-157973112","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-157973112, 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=1067","layer":4},{"info":"number node, value=1846","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=1846, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1575","layer":4},{"info":"compute unary expreesion, input=1575, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1091","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-1091, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3","layer":2},{"info":"number node, value=5209","layer":4},{"info":"number node, value=1537","layer":4},{"info":"compute binary expreesion, left_input=5209, right_input=1537, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3838","layer":4},{"info":"number node, value=2470","layer":4},{"info":"compute binary expreesion, left_input=3838, right_input=2470, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=-3, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100110101010≭≮⫘↔10101111100⪠⩆⊳)≎⊠⪸((≮⫘↔101000010110↪⪝)⋷≮⫘↔101110000111⩷∴≮⫘↔110010100000))↬((≮⫘↔10000101011⩨≮⫘↔11100110110)↙(≤/≮⫘↔11000100111))⊴(≮⫘↔1010001011001⊴≮⫘↔11000000001≭≮⫘↔111011111110≹⇙⪍≮⫘↔100110100110)=NaN","reverse_text":"NaN=((≮⫘↔100110101010≭≮⫘↔10101111100⪠⩆⊳)≎⊠⪸((≮⫘↔101000010110↪⪝)⋷≮⫘↔101110000111⩷∴≮⫘↔110010100000))↬((≮⫘↔10000101011⩨≮⫘↔11100110110)↙(≤/≮⫘↔11000100111))⊴(≮⫘↔1010001011001⊴≮⫘↔11000000001≭≮⫘↔111011111110≹⇙⪍≮⫘↔100110100110)","cot":[{"info":"≮⫘↔100110101010≭≮⫘↔10101111100=NaN","layer":3},{"info":"NaN⪠⩆⊳=NaN","layer":2},{"info":"≮⫘↔101000010110↪⪝=≮⫘↔1001011010100111010111010100","layer":3},{"info":"≮⫘↔101110000111⩷∴≮⫘↔110010100000=≮⫘↔-1001010010","layer":3},{"info":"≮⫘↔1001011010100111010111010100⋷≮⫘↔-1001010010=≮⫘↔-1001011010100111101001111000","layer":2},{"info":"NaN≎⊠⪸≮⫘↔-1001011010100111101001111000=≮⫘↔1000011","layer":1},{"info":"≮⫘↔10000101011⩨≮⫘↔11100110110=≮⫘↔-11","layer":3},{"info":"≤/≮⫘↔11000100111=≮⫘↔-10001000011","layer":3},{"info":"≮⫘↔-11↙≮⫘↔-10001000011=≮⫘↔-11","layer":2},{"info":"≮⫘↔1010001011001⊴≮⫘↔11000000001=NaN","layer":3},{"info":"≮⫘↔111011111110≹⇙⪍≮⫘↔100110100110=NaN","layer":3},{"info":"NaN≭NaN=NaN","layer":2},{"info":"≮⫘↔-11⊴NaN=NaN","layer":1},{"info":"≮⫘↔1000011↬NaN=NaN","layer":0}]}
{"id":331,"expression_no_base_symbol":"((⋗⩬⋾$1118$⪮%⊝$3787$)⊘)⊭↱(↣≠⋷$8510$)∼($2232$⨽$4966$)↺($1657$⋳⪒$1145$)∀⇚≩(⊙↵-$1206$)","expression":"((⋗⩬⋾≮⫘↔10001011110⪮%⊝≮⫘↔111011001011)⊘)⊭↱(↣≠⋷≮⫘↔10000100111110)∼(≮⫘↔100010111000⨽≮⫘↔1001101100110)↺(≮⫘↔11001111001⋳⪒≮⫘↔10001111001)∀⇚≩(⊙↵-≮⫘↔10010110110)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":16721,"operation_count":11,"complexity_ratio":1520.090909090909,"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":1118,"base":2},"right_expr":{"type":"numeric_atoms","value":3787,"base":2}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":8510,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2232,"base":2},"right_expr":{"type":"numeric_atoms","value":4966,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1657,"base":2},"right_expr":{"type":"numeric_atoms","value":1145,"base":2}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1206,"base":2}}}}},"used_operators":["COABgblf1C","gu96TGCTMs","DpFCA1CohY","IWmyXbctLI","7j4O788W3g","DyGG3AbaNP","Asc51vEJeQ","8HhzD0ZcuI","LRNGc0VcxI","12rbrZMWeM","oWn0xqSxBt"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1118","layer":4},{"info":"number node, value=3787","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=3787, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2552","layer":3},{"info":"compute unary expreesion, input=2552, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-7656","layer":2},{"info":"compute unary expreesion, input=-7656, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=-1","layer":1},{"info":"number node, value=8510","layer":4},{"info":"compute unary expreesion, input=8510, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2232","layer":4},{"info":"number node, value=4966","layer":4},{"info":"compute binary expreesion, left_input=2232, right_input=4966, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-14959056","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-14959056, 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=1657","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=1657, right_input=1145, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1882","layer":3},{"info":"number node, value=1206","layer":4},{"info":"compute unary expreesion, input=1206, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=1882, right_input=-1, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⋗⩬⋾≮⫘↔10001011110⪮%⊝≮⫘↔111011001011)⊘)⊭↱(↣≠⋷≮⫘↔10000100111110)∼(≮⫘↔100010111000⨽≮⫘↔1001101100110)↺(≮⫘↔11001111001⋳⪒≮⫘↔10001111001)∀⇚≩(⊙↵-≮⫘↔10010110110)=NaN","reverse_text":"NaN=((⋗⩬⋾≮⫘↔10001011110⪮%⊝≮⫘↔111011001011)⊘)⊭↱(↣≠⋷≮⫘↔10000100111110)∼(≮⫘↔100010111000⨽≮⫘↔1001101100110)↺(≮⫘↔11001111001⋳⪒≮⫘↔10001111001)∀⇚≩(⊙↵-≮⫘↔10010110110)","cot":[{"info":"≮⫘↔10001011110⪮%⊝≮⫘↔111011001011=≮⫘↔100111111000","layer":3},{"info":"⋗⩬⋾≮⫘↔100111111000=≮⫘↔-1110111101000","layer":2},{"info":"≮⫘↔-1110111101000⊘=≮⫘↔-1","layer":1},{"info":"↣≠⋷≮⫘↔10000100111110=NaN","layer":3},{"info":"≮⫘↔100010111000⨽≮⫘↔1001101100110=≮⫘↔-111001000100000111010000","layer":3},{"info":"NaN∼≮⫘↔-111001000100000111010000=NaN","layer":2},{"info":"≮⫘↔11001111001⋳⪒≮⫘↔10001111001=≮⫘↔11101011010","layer":3},{"info":"⊙↵-≮⫘↔10010110110=≮⫘↔-1","layer":3},{"info":"≮⫘↔11101011010∀⇚≩≮⫘↔-1=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"≮⫘↔-1⊭↱NaN=NaN","layer":0}]}
{"id":332,"expression_no_base_symbol":"($3722$⩨$2059$⨸⪁($7543$⊪)⨵⪆($5470$⊠≄⫣)⫸⊐(-$7006$))∀⇚≩((($4467$∧)⊘)⩚⊴⇥(∥⊫$8511$∑⇟⊟$1667$))","expression":"(≮⫘↔111010001010⩨≮⫘↔100000001011⨸⪁(≮⫘↔1110101110111⊪)⨵⪆(≮⫘↔1010101011110⊠≄⫣)⫸⊐(-≮⫘↔1101101011110))∀⇚≩(((≮⫘↔1000101110011∧)⊘)⩚⊴⇥(∥⊫≮⫘↔10000100111111∑⇟⊟≮⫘↔11010000011))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1203,"operation_count":13,"complexity_ratio":92.53846153846153,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3722,"base":2},"right_expr":{"type":"numeric_atoms","value":2059,"base":2}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":7543,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5470,"base":2}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":7006,"base":2}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":4467,"base":2}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":8511,"base":2},"right_expr":{"type":"numeric_atoms","value":1667,"base":2}}}}},"used_operators":["LRNGc0VcxI","2DQ55sFlQl","g55IO6H4Gj","2DlMacCsIx","zVYPLywUTj","mqXw5SEYmG","DIvbN7qnHd","t8gj7n24qd","NTOWxs364D","gu96TGCTMs","z63VuFQld9","P8v4zCKN1o","U7g4x0WXJJ"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3722","layer":4},{"info":"number node, value=2059","layer":4},{"info":"compute binary expreesion, left_input=3722, right_input=2059, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=7543","layer":4},{"info":"compute unary expreesion, input=7543, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=0","layer":2},{"info":"number node, value=5470","layer":4},{"info":"compute unary expreesion, input=5470, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=7006","layer":4},{"info":"compute unary expreesion, input=7006, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-7006","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7006, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=4467","layer":4},{"info":"compute unary expreesion, input=4467, 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 = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":2},{"info":"number node, value=8511","layer":4},{"info":"number node, value=1667","layer":4},{"info":"compute binary expreesion, left_input=8511, right_input=1667, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , 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":"compute binary expreesion, left_input=160, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔111010001010⩨≮⫘↔100000001011⨸⪁(≮⫘↔1110101110111⊪)⨵⪆(≮⫘↔1010101011110⊠≄⫣)⫸⊐(-≮⫘↔1101101011110))∀⇚≩(((≮⫘↔1000101110011∧)⊘)⩚⊴⇥(∥⊫≮⫘↔10000100111111∑⇟⊟≮⫘↔11010000011))=NaN","reverse_text":"NaN=(≮⫘↔111010001010⩨≮⫘↔100000001011⨸⪁(≮⫘↔1110101110111⊪)⨵⪆(≮⫘↔1010101011110⊠≄⫣)⫸⊐(-≮⫘↔1101101011110))∀⇚≩(((≮⫘↔1000101110011∧)⊘)⩚⊴⇥(∥⊫≮⫘↔10000100111111∑⇟⊟≮⫘↔11010000011))","cot":[{"info":"≮⫘↔111010001010⩨≮⫘↔100000001011=≮⫘↔0","layer":3},{"info":"≮⫘↔1110101110111⊪=≮⫘↔0","layer":3},{"info":"≮⫘↔0⨸⪁≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔1010101011110⊠≄⫣=≮⫘↔0","layer":3},{"info":"-≮⫘↔1101101011110=≮⫘↔-1101101011110","layer":3},{"info":"≮⫘↔0⫸⊐≮⫘↔-1101101011110=≮⫘↔0","layer":2},{"info":"≮⫘↔0⨵⪆≮⫘↔0=≮⫘↔10100000","layer":1},{"info":"≮⫘↔1000101110011∧=NaN","layer":3},{"info":"NaN⊘=NaN","layer":2},{"info":"≮⫘↔10000100111111∑⇟⊟≮⫘↔11010000011=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"≮⫘↔10100000∀⇚≩NaN=NaN","layer":0}]}
{"id":333,"expression_no_base_symbol":"(($4944$⫌⩹⨱)+⇶⊼$4411$⪮%⊝$4028$≋⫹)⊭↱($2020$∀⇚≩$2618$)∀⇚≩(⊙↵-$5387$)⪄($1204$%$1699$)⨐⩸⫘$3477$⫥∨⫟$2764$","expression":"((≮⫘↔1001101010000⫌⩹⨱)+⇶⊼≮⫘↔1000100111011⪮%⊝≮⫘↔111110111100≋⫹)⊭↱(≮⫘↔11111100100∀⇚≩≮⫘↔101000111010)∀⇚≩(⊙↵-≮⫘↔1010100001011)⪄(≮⫘↔10010110100%≮⫘↔11010100011)⨐⩸⫘≮⫘↔110110010101⫥∨⫟≮⫘↔101011001100","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19777,"operation_count":12,"complexity_ratio":1648.0833333333333,"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":4944,"base":2}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4411,"base":2},"right_expr":{"type":"numeric_atoms","value":4028,"base":2}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2020,"base":2},"right_expr":{"type":"numeric_atoms","value":2618,"base":2}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":5387,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1204,"base":2},"right_expr":{"type":"numeric_atoms","value":1699,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3477,"base":2},"right_expr":{"type":"numeric_atoms","value":2764,"base":2}}}}},"used_operators":["COABgblf1C","N41Kp7NANJ","TpPTUOHfaN","EBcxylXtPf","IWmyXbctLI","SUmda5xLS4","LRNGc0VcxI","oWn0xqSxBt","fu6greOZ01","k8jYdgA6NY","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","X99M06cbEe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","3ViojmjbAp","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4944","layer":4},{"info":"compute unary expreesion, input=4944, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=11289","layer":3},{"info":"number node, value=4411","layer":4},{"info":"number node, value=4028","layer":4},{"info":"compute binary expreesion, left_input=4411, right_input=4028, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9138","layer":3},{"info":"compute binary expreesion, left_input=11289, right_input=9138, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":1},{"info":"number node, value=2020","layer":4},{"info":"number node, value=2618","layer":4},{"info":"compute binary expreesion, left_input=2020, right_input=2618, 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=5387","layer":4},{"info":"compute unary expreesion, input=5387, 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 = 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=1204","layer":4},{"info":"number node, value=1699","layer":4},{"info":"compute binary expreesion, left_input=1204, right_input=1699, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1204","layer":3},{"info":"number node, value=3477","layer":4},{"info":"number node, value=2764","layer":4},{"info":"compute binary expreesion, left_input=3477, right_input=2764, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1204, 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=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001101010000⫌⩹⨱)+⇶⊼≮⫘↔1000100111011⪮%⊝≮⫘↔111110111100≋⫹)⊭↱(≮⫘↔11111100100∀⇚≩≮⫘↔101000111010)∀⇚≩(⊙↵-≮⫘↔1010100001011)⪄(≮⫘↔10010110100%≮⫘↔11010100011)⨐⩸⫘≮⫘↔110110010101⫥∨⫟≮⫘↔101011001100=NaN","reverse_text":"NaN=((≮⫘↔1001101010000⫌⩹⨱)+⇶⊼≮⫘↔1000100111011⪮%⊝≮⫘↔111110111100≋⫹)⊭↱(≮⫘↔11111100100∀⇚≩≮⫘↔101000111010)∀⇚≩(⊙↵-≮⫘↔1010100001011)⪄(≮⫘↔10010110100%≮⫘↔11010100011)⨐⩸⫘≮⫘↔110110010101⫥∨⫟≮⫘↔101011001100","cot":[{"info":"≮⫘↔1001101010000⫌⩹⨱=≮⫘↔10110000011001","layer":3},{"info":"≮⫘↔1000100111011⪮%⊝≮⫘↔111110111100=≮⫘↔10001110110010","layer":3},{"info":"≮⫘↔10110000011001+⇶⊼≮⫘↔10001110110010=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"≮⫘↔11111100100∀⇚≩≮⫘↔101000111010=NaN","layer":3},{"info":"⊙↵-≮⫘↔1010100001011=≮⫘↔-1","layer":3},{"info":"NaN∀⇚≩≮⫘↔-1=NaN","layer":2},{"info":"≮⫘↔10010110100%≮⫘↔11010100011=≮⫘↔10010110100","layer":3},{"info":"≮⫘↔110110010101⫥∨⫟≮⫘↔101011001100=NaN","layer":3},{"info":"≮⫘↔10010110100⨐⩸⫘NaN=NaN","layer":2},{"info":"NaN⪄NaN=≮⫘↔111110001011","layer":1},{"info":"NaN⊭↱≮⫘↔111110001011=NaN","layer":0}]}
{"id":334,"expression_no_base_symbol":"⩦⩻⨪((⊄⩳↩$2595$)⨸⪁($4831$⊭↱$6867$))⪮%⊝($1261$⋥≓≎$2858$⩨($2244$-$1417$))","expression":"⩦⩻⨪((⊄⩳↩≮⫘↔101000100011)⨸⪁(≮⫘↔1001011011111⊭↱≮⫘↔1101011010011))⪮%⊝(≮⫘↔10011101101⋥≓≎≮⫘↔101100101010⩨(≮⫘↔100011000100-≮⫘↔10110001001))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":33,"operation_count":8,"complexity_ratio":4.125,"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":2595,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4831,"base":2},"right_expr":{"type":"numeric_atoms","value":6867,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1261,"base":2},"right_expr":{"type":"numeric_atoms","value":2858,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2244,"base":2},"right_expr":{"type":"numeric_atoms","value":1417,"base":2}}}}},"used_operators":["2td37pGCOC","IWmyXbctLI","g55IO6H4Gj","8w2t5hMYqp","COABgblf1C","2DlMacCsIx","Qy55tPpLXF","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2595","layer":4},{"info":"compute unary expreesion, input=2595, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7785","layer":3},{"info":"number node, value=4831","layer":4},{"info":"number node, value=6867","layer":4},{"info":"compute binary expreesion, left_input=4831, right_input=6867, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4077","layer":3},{"info":"compute binary expreesion, left_input=-7785, right_input=4077, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-7416","layer":2},{"info":"number node, value=1261","layer":4},{"info":"number node, value=2858","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=2858, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4488","layer":3},{"info":"number node, value=2244","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=2244, right_input=1417, op_id = rysDP5nf3Z binary_op_definition= 'None', output=827","layer":3},{"info":"compute binary expreesion, left_input=4488, right_input=827, 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=-7416, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⩦⩻⨪((⊄⩳↩≮⫘↔101000100011)⨸⪁(≮⫘↔1001011011111⊭↱≮⫘↔1101011010011))⪮%⊝(≮⫘↔10011101101⋥≓≎≮⫘↔101100101010⩨(≮⫘↔100011000100-≮⫘↔10110001001))=NaN","reverse_text":"NaN=⩦⩻⨪((⊄⩳↩≮⫘↔101000100011)⨸⪁(≮⫘↔1001011011111⊭↱≮⫘↔1101011010011))⪮%⊝(≮⫘↔10011101101⋥≓≎≮⫘↔101100101010⩨(≮⫘↔100011000100-≮⫘↔10110001001))","cot":[{"info":"⊄⩳↩≮⫘↔101000100011=≮⫘↔-1111001101001","layer":3},{"info":"≮⫘↔1001011011111⊭↱≮⫘↔1101011010011=≮⫘↔111111101101","layer":3},{"info":"≮⫘↔-1111001101001⨸⪁≮⫘↔111111101101=≮⫘↔-1110011111000","layer":2},{"info":"≮⫘↔10011101101⋥≓≎≮⫘↔101100101010=≮⫘↔1000110001000","layer":3},{"info":"≮⫘↔100011000100-≮⫘↔10110001001=≮⫘↔1100111011","layer":3},{"info":"≮⫘↔1000110001000⩨≮⫘↔1100111011=≮⫘↔0","layer":2},{"info":"≮⫘↔-1110011111000⪮%⊝≮⫘↔0=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":335,"expression_no_base_symbol":"⨰⫟⨤(($2103$∧)⪮%⊝($6165$↬$1066$)+($1840$⨎$5938$)⩚⊴⇥(⫛⫱⨽$5668$))","expression":"⨰⫟⨤((≮⫘↔100000110111∧)⪮%⊝(≮⫘↔1100000010101↬≮⫘↔10000101010)+(≮⫘↔11100110000⨎≮⫘↔1011100110010)⩚⊴⇥(⫛⫱⨽≮⫘↔1011000100100))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1472,"operation_count":8,"complexity_ratio":184.0,"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":2103,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6165,"base":2},"right_expr":{"type":"numeric_atoms","value":1066,"base":2}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1840,"base":2},"right_expr":{"type":"numeric_atoms","value":5938,"base":2}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5668,"base":2}}}}},"used_operators":["Tw270M8GLb","W4YGzv6Whe","IWmyXbctLI","z63VuFQld9","B5M0gjZbta","NTOWxs364D","rJVOvQCfKK","DlLNRPXxWL"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2103","layer":4},{"info":"compute unary expreesion, input=2103, 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=6165","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=6165, right_input=1066, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1840","layer":4},{"info":"number node, value=5938","layer":4},{"info":"compute binary expreesion, left_input=1840, right_input=5938, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5938","layer":3},{"info":"number node, value=5668","layer":4},{"info":"compute unary expreesion, input=5668, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5938, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6059","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6059, op_id = W4YGzv6Whe binary_op_definition= 'None', 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":2,"result_base":2,"text":"⨰⫟⨤((≮⫘↔100000110111∧)⪮%⊝(≮⫘↔1100000010101↬≮⫘↔10000101010)+(≮⫘↔11100110000⨎≮⫘↔1011100110010)⩚⊴⇥(⫛⫱⨽≮⫘↔1011000100100))=NaN","reverse_text":"NaN=⨰⫟⨤((≮⫘↔100000110111∧)⪮%⊝(≮⫘↔1100000010101↬≮⫘↔10000101010)+(≮⫘↔11100110000⨎≮⫘↔1011100110010)⩚⊴⇥(⫛⫱⨽≮⫘↔1011000100100))","cot":[{"info":"≮⫘↔100000110111∧=NaN","layer":3},{"info":"≮⫘↔1100000010101↬≮⫘↔10000101010=NaN","layer":3},{"info":"NaN⪮%⊝NaN=NaN","layer":2},{"info":"≮⫘↔11100110000⨎≮⫘↔1011100110010=≮⫘↔1011100110010","layer":3},{"info":"⫛⫱⨽≮⫘↔1011000100100=≮⫘↔0","layer":3},{"info":"≮⫘↔1011100110010⩚⊴⇥≮⫘↔0=≮⫘↔-1011110101011","layer":2},{"info":"NaN+≮⫘↔-1011110101011=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":336,"expression_no_base_symbol":"(⋗⩬⋾((↯⪼$4132$)⊭↱($1876$+$2083$)))⇼⇔∾(⨰⫟⨤($4799$⊦⊿)⪘⫢($6737$⊦⊿))","expression":"(⋗⩬⋾((↯⪼≮⫘↔1000000100100)⊭↱(≮⫘↔11101010100+≮⫘↔100000100011)))⇼⇔∾(⨰⫟⨤(≮⫘↔1001010111111⊦⊿)⪘⫢(≮⫘↔1101001010001⊦⊿))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":972,"operation_count":9,"complexity_ratio":108.0,"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":4132,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1876,"base":2},"right_expr":{"type":"numeric_atoms","value":2083,"base":2}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":4799,"base":2}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":6737,"base":2}}}}},"used_operators":["tifHPKVTfV","DpFCA1CohY","COABgblf1C","8jW3W4yZS5","W4YGzv6Whe","Tw270M8GLb","oacrs7FA3X","14qkJME0vr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔10001010011110000011011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4132","layer":4},{"info":"compute unary expreesion, input=4132, 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=1876","layer":4},{"info":"number node, value=2083","layer":4},{"info":"compute binary expreesion, left_input=1876, right_input=2083, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3959","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=3959, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7965","layer":2},{"info":"compute unary expreesion, input=7965, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-23895","layer":1},{"info":"number node, value=4799","layer":4},{"info":"compute unary expreesion, input=4799, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-14476","layer":3},{"info":"number node, value=6737","layer":4},{"info":"compute unary expreesion, input=6737, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-20290","layer":3},{"info":"compute binary expreesion, left_input=-14476, right_input=-20290, 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 unary expreesion, input=-1, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4513476","layer":1},{"info":"compute binary expreesion, left_input=-23895, right_input=4513476, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4537371","layer":0}],"base":2,"result_base":2,"text":"(⋗⩬⋾((↯⪼≮⫘↔1000000100100)⊭↱(≮⫘↔11101010100+≮⫘↔100000100011)))⇼⇔∾(⨰⫟⨤(≮⫘↔1001010111111⊦⊿)⪘⫢(≮⫘↔1101001010001⊦⊿))=≮⫘↔10001010011110000011011","reverse_text":"≮⫘↔10001010011110000011011=(⋗⩬⋾((↯⪼≮⫘↔1000000100100)⊭↱(≮⫘↔11101010100+≮⫘↔100000100011)))⇼⇔∾(⨰⫟⨤(≮⫘↔1001010111111⊦⊿)⪘⫢(≮⫘↔1101001010001⊦⊿))","cot":[{"info":"↯⪼≮⫘↔1000000100100=≮⫘↔-10101","layer":3},{"info":"≮⫘↔11101010100+≮⫘↔100000100011=≮⫘↔111101110111","layer":3},{"info":"≮⫘↔-10101⊭↱≮⫘↔111101110111=≮⫘↔1111100011101","layer":2},{"info":"⋗⩬⋾≮⫘↔1111100011101=≮⫘↔-101110101010111","layer":1},{"info":"≮⫘↔1001010111111⊦⊿=≮⫘↔-11100010001100","layer":3},{"info":"≮⫘↔1101001010001⊦⊿=≮⫘↔-100111101000010","layer":3},{"info":"≮⫘↔-11100010001100⪘⫢≮⫘↔-100111101000010=≮⫘↔-1","layer":2},{"info":"⨰⫟⨤≮⫘↔-1=≮⫘↔10001001101111011000100","layer":1},{"info":"≮⫘↔-101110101010111⇼⇔∾≮⫘↔10001001101111011000100=≮⫘↔10001010011110000011011","layer":0}]}
{"id":337,"expression_no_base_symbol":"⩦⩻⨪(($2749$≫≃)≭($4278$⨵⪆$2731$))⨪↰⇹($1758$≹⇙⪍$3016$↙($5077$↺$1889$))","expression":"⩦⩻⨪((≮⫘↔101010111101≫≃)≭(≮⫘↔1000010110110⨵⪆≮⫘↔101010101011))⨪↰⇹(≮⫘↔11011011110≹⇙⪍≮⫘↔101111001000↙(≮⫘↔1001111010101↺≮⫘↔11101100001))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17,"operation_count":8,"complexity_ratio":2.125,"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":2749,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4278,"base":2},"right_expr":{"type":"numeric_atoms","value":2731,"base":2}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1758,"base":2},"right_expr":{"type":"numeric_atoms","value":3016,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5077,"base":2},"right_expr":{"type":"numeric_atoms","value":1889,"base":2}}}}},"used_operators":["2td37pGCOC","tmPS8pqC7x","rxpJgHHUmx","X99M06cbEe","2DQ55sFlQl","yyfyN0ffXY","AHs5Up7iyr","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2749","layer":4},{"info":"compute unary expreesion, input=2749, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6899","layer":3},{"info":"number node, value=4278","layer":4},{"info":"number node, value=2731","layer":4},{"info":"compute binary expreesion, left_input=4278, right_input=2731, 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=6899, right_input=160, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1758","layer":4},{"info":"number node, value=3016","layer":4},{"info":"compute binary expreesion, left_input=1758, right_input=3016, 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=5077","layer":4},{"info":"number node, value=1889","layer":4},{"info":"compute binary expreesion, left_input=5077, right_input=1889, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1889","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1889, 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 = 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⩦⩻⨪((≮⫘↔101010111101≫≃)≭(≮⫘↔1000010110110⨵⪆≮⫘↔101010101011))⨪↰⇹(≮⫘↔11011011110≹⇙⪍≮⫘↔101111001000↙(≮⫘↔1001111010101↺≮⫘↔11101100001))=NaN","reverse_text":"NaN=⩦⩻⨪((≮⫘↔101010111101≫≃)≭(≮⫘↔1000010110110⨵⪆≮⫘↔101010101011))⨪↰⇹(≮⫘↔11011011110≹⇙⪍≮⫘↔101111001000↙(≮⫘↔1001111010101↺≮⫘↔11101100001))","cot":[{"info":"≮⫘↔101010111101≫≃=≮⫘↔1101011110011","layer":3},{"info":"≮⫘↔1000010110110⨵⪆≮⫘↔101010101011=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1101011110011≭≮⫘↔10100000=NaN","layer":2},{"info":"≮⫘↔11011011110≹⇙⪍≮⫘↔101111001000=NaN","layer":3},{"info":"≮⫘↔1001111010101↺≮⫘↔11101100001=≮⫘↔11101100001","layer":3},{"info":"NaN↙≮⫘↔11101100001=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":338,"expression_no_base_symbol":"(($4936$*$2822$)⩚⊴⇥(⊄⩳↩$2383$)⪠⩆⊳)≧⫂∧(($4568$⪮%⊝$3844$+$7070$⪄$2504$)∲⫓((⩦⩻⨪$1387$)⋫))","expression":"((≮⫘↔1001101001000*≮⫘↔101100000110)⩚⊴⇥(⊄⩳↩≮⫘↔100101001111)⪠⩆⊳)≧⫂∧((≮⫘↔1000111011000⪮%⊝≮⫘↔111100000100+≮⫘↔1101110011110⪄≮⫘↔100111001000)∲⫓((⩦⩻⨪≮⫘↔10101101011)⋫))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4332,"operation_count":11,"complexity_ratio":393.8181818181818,"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":4936,"base":2},"right_expr":{"type":"numeric_atoms","value":2822,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2383,"base":2}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4568,"base":2},"right_expr":{"type":"numeric_atoms","value":3844,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7070,"base":2},"right_expr":{"type":"numeric_atoms","value":2504,"base":2}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1387,"base":2}}}}},"used_operators":["Ph9nP6C5qx","JLbD19bQDL","NTOWxs364D","9HNa5Wba9A","8w2t5hMYqp","i8ToyICDmI","W4YGzv6Whe","IWmyXbctLI","SUmda5xLS4","JL8yIekQnl","2td37pGCOC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-111011001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4936","layer":4},{"info":"number node, value=2822","layer":4},{"info":"compute binary expreesion, left_input=4936, right_input=2822, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13929392","layer":3},{"info":"number node, value=2383","layer":4},{"info":"compute unary expreesion, input=2383, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7149","layer":3},{"info":"compute binary expreesion, left_input=13929392, right_input=-7149, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-13922364","layer":2},{"info":"compute unary expreesion, input=-13922364, 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=4568","layer":4},{"info":"number node, value=3844","layer":4},{"info":"compute binary expreesion, left_input=4568, right_input=3844, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9452","layer":3},{"info":"number node, value=7070","layer":4},{"info":"number node, value=2504","layer":4},{"info":"compute binary expreesion, left_input=7070, right_input=2504, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1052465","layer":3},{"info":"compute binary expreesion, left_input=9452, right_input=-1052465, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-1043013","layer":2},{"info":"number node, value=1387","layer":4},{"info":"compute unary expreesion, input=1387, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1387","layer":3},{"info":"compute unary expreesion, input=1387, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1387","layer":2},{"info":"compute binary expreesion, left_input=-1043013, right_input=1387, 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=0, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001101001000*≮⫘↔101100000110)⩚⊴⇥(⊄⩳↩≮⫘↔100101001111)⪠⩆⊳)≧⫂∧((≮⫘↔1000111011000⪮%⊝≮⫘↔111100000100+≮⫘↔1101110011110⪄≮⫘↔100111001000)∲⫓((⩦⩻⨪≮⫘↔10101101011)⋫))=≮⫘↔-111011001","reverse_text":"≮⫘↔-111011001=((≮⫘↔1001101001000*≮⫘↔101100000110)⩚⊴⇥(⊄⩳↩≮⫘↔100101001111)⪠⩆⊳)≧⫂∧((≮⫘↔1000111011000⪮%⊝≮⫘↔111100000100+≮⫘↔1101110011110⪄≮⫘↔100111001000)∲⫓((⩦⩻⨪≮⫘↔10101101011)⋫))","cot":[{"info":"≮⫘↔1001101001000*≮⫘↔101100000110=≮⫘↔110101001000101110110000","layer":3},{"info":"⊄⩳↩≮⫘↔100101001111=≮⫘↔-1101111101101","layer":3},{"info":"≮⫘↔110101001000101110110000⩚⊴⇥≮⫘↔-1101111101101=≮⫘↔-110101000111000000111100","layer":2},{"info":"≮⫘↔-110101000111000000111100⪠⩆⊳=≮⫘↔0","layer":1},{"info":"≮⫘↔1000111011000⪮%⊝≮⫘↔111100000100=≮⫘↔10010011101100","layer":3},{"info":"≮⫘↔1101110011110⪄≮⫘↔100111001000=≮⫘↔-100000000111100110001","layer":3},{"info":"≮⫘↔10010011101100+≮⫘↔-100000000111100110001=≮⫘↔-11111110101001000101","layer":2},{"info":"⩦⩻⨪≮⫘↔10101101011=≮⫘↔10101101011","layer":3},{"info":"≮⫘↔10101101011⋫=≮⫘↔10101101011","layer":2},{"info":"≮⫘↔-11111110101001000101∲⫓≮⫘↔10101101011=≮⫘↔0","layer":1},{"info":"≮⫘↔0≧⫂∧≮⫘↔0=≮⫘↔-111011001","layer":0}]}
{"id":339,"expression_no_base_symbol":"(($9039$-$5180$)%(⇁⨣⪵$2534$))∀⇚≩($1078$≭$4437$↪⪝)%(⫓⪴($1913$∑⇟⊟$9312$))⨟⋌⩍(⨈⫕$1571$∀⇚≩$2027$)","expression":"((≮⫘↔10001101001111-≮⫘↔1010000111100)%(⇁⨣⪵≮⫘↔100111100110))∀⇚≩(≮⫘↔10000110110≭≮⫘↔1000101010101↪⪝)%(⫓⪴(≮⫘↔11101111001∑⇟⊟≮⫘↔10010001100000))⨟⋌⩍(⨈⫕≮⫘↔11000100011∀⇚≩≮⫘↔11111101011)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11480,"operation_count":12,"complexity_ratio":956.6666666666666,"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":9039,"base":2},"right_expr":{"type":"numeric_atoms","value":5180,"base":2}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2534,"base":2}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1078,"base":2},"right_expr":{"type":"numeric_atoms","value":4437,"base":2}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1913,"base":2},"right_expr":{"type":"numeric_atoms","value":9312,"base":2}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1571,"base":2},"right_expr":{"type":"numeric_atoms","value":2027,"base":2}}}}},"used_operators":["k8jYdgA6NY","LRNGc0VcxI","rysDP5nf3Z","inkyxCbjAn","l07mrZUIn9","rxpJgHHUmx","rGHVDoGpnC","eLxqMNBOBk","U7g4x0WXJJ","megm06wKyl"],"dependent_operators":["rysDP5nf3Z","X99M06cbEe","B5M0gjZbta","9HNa5Wba9A","2DDjHMKMc0","AHs5Up7iyr","Tcnh7f0tEr","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=9039","layer":4},{"info":"number node, value=5180","layer":4},{"info":"compute binary expreesion, left_input=9039, right_input=5180, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3859","layer":3},{"info":"number node, value=2534","layer":4},{"info":"compute unary expreesion, input=2534, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3859, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1078","layer":4},{"info":"number node, value=4437","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=4437, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1913","layer":4},{"info":"number node, value=9312","layer":4},{"info":"compute binary expreesion, left_input=1913, right_input=9312, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"number node, value=1571","layer":4},{"info":"number node, value=2027","layer":4},{"info":"compute binary expreesion, left_input=1571, right_input=2027, 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 = 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=nan, right_input=-21, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10001101001111-≮⫘↔1010000111100)%(⇁⨣⪵≮⫘↔100111100110))∀⇚≩(≮⫘↔10000110110≭≮⫘↔1000101010101↪⪝)%(⫓⪴(≮⫘↔11101111001∑⇟⊟≮⫘↔10010001100000))⨟⋌⩍(⨈⫕≮⫘↔11000100011∀⇚≩≮⫘↔11111101011)=NaN","reverse_text":"NaN=((≮⫘↔10001101001111-≮⫘↔1010000111100)%(⇁⨣⪵≮⫘↔100111100110))∀⇚≩(≮⫘↔10000110110≭≮⫘↔1000101010101↪⪝)%(⫓⪴(≮⫘↔11101111001∑⇟⊟≮⫘↔10010001100000))⨟⋌⩍(⨈⫕≮⫘↔11000100011∀⇚≩≮⫘↔11111101011)","cot":[{"info":"≮⫘↔10001101001111-≮⫘↔1010000111100=≮⫘↔111100010011","layer":3},{"info":"⇁⨣⪵≮⫘↔100111100110=NaN","layer":3},{"info":"≮⫘↔111100010011%NaN=NaN","layer":2},{"info":"≮⫘↔10000110110≭≮⫘↔1000101010101=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"≮⫘↔11101111001∑⇟⊟≮⫘↔10010001100000=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"≮⫘↔11000100011∀⇚≩≮⫘↔11111101011=NaN","layer":3},{"info":"⨈⫕NaN=≮⫘↔-10101","layer":2},{"info":"NaN⨟⋌⩍≮⫘↔-10101=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":340,"expression_no_base_symbol":"(($3331$⋫)≫≃)≎⊠⪸($1452$⫥∨⫟$8378$)∼($1630$⨳⩥⨓$1682$)↛⩡⫤","expression":"((≮⫘↔110100000011⋫)≫≃)≎⊠⪸(≮⫘↔10110101100⫥∨⫟≮⫘↔10000010111010)∼(≮⫘↔11001011110⨳⩥⨓≮⫘↔11010010010)↛⩡⫤","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4058,"operation_count":7,"complexity_ratio":579.7142857142857,"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":3331,"base":2}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1452,"base":2},"right_expr":{"type":"numeric_atoms","value":8378,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1630,"base":2},"right_expr":{"type":"numeric_atoms","value":1682,"base":2}}}}},"used_operators":["FU0Cs4j7VP","bJkvcejdHO","X99M06cbEe","JL8yIekQnl","DyGG3AbaNP","KYD54nUTWz","nCS4ZIUYfx"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","tmPS8pqC7x","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3331","layer":4},{"info":"compute unary expreesion, input=3331, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3331","layer":3},{"info":"compute unary expreesion, input=3331, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=8063","layer":2},{"info":"number node, value=1452","layer":4},{"info":"number node, value=8378","layer":4},{"info":"compute binary expreesion, left_input=1452, right_input=8378, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1630","layer":4},{"info":"number node, value=1682","layer":4},{"info":"compute binary expreesion, left_input=1630, right_input=1682, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=52","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=52, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=8063, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2087844","layer":1},{"info":"compute unary expreesion, input=2087844, 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":0}],"base":2,"result_base":2,"text":"((≮⫘↔110100000011⋫)≫≃)≎⊠⪸(≮⫘↔10110101100⫥∨⫟≮⫘↔10000010111010)∼(≮⫘↔11001011110⨳⩥⨓≮⫘↔11010010010)↛⩡⫤=NaN","reverse_text":"NaN=((≮⫘↔110100000011⋫)≫≃)≎⊠⪸(≮⫘↔10110101100⫥∨⫟≮⫘↔10000010111010)∼(≮⫘↔11001011110⨳⩥⨓≮⫘↔11010010010)↛⩡⫤","cot":[{"info":"≮⫘↔110100000011⋫=≮⫘↔110100000011","layer":3},{"info":"≮⫘↔110100000011≫≃=≮⫘↔1111101111111","layer":2},{"info":"≮⫘↔10110101100⫥∨⫟≮⫘↔10000010111010=NaN","layer":3},{"info":"≮⫘↔11001011110⨳⩥⨓≮⫘↔11010010010=≮⫘↔110100","layer":3},{"info":"NaN∼≮⫘↔110100=≮⫘↔0","layer":2},{"info":"≮⫘↔1111101111111≎⊠⪸≮⫘↔0=≮⫘↔111111101101110100100","layer":1},{"info":"≮⫘↔111111101101110100100↛⩡⫤=NaN","layer":0}]}
{"id":341,"expression_no_base_symbol":"(↽≂($1442$⨽$3802$)≭($2375$⩨$1155$))⨓(+⊝⨔($2470$≎⊠⪸$1077$⇼⇔∾(∥⊫$3498$)))","expression":"(↽≂(≮⫘↔10110100010⨽≮⫘↔111011011010)≭(≮⫘↔100101000111⩨≮⫘↔10010000011))⨓(+⊝⨔(≮⫘↔100110100110≎⊠⪸≮⫘↔10000110101⇼⇔∾(∥⊫≮⫘↔110110101010)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3283,"operation_count":9,"complexity_ratio":364.77777777777777,"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":1442,"base":2},"right_expr":{"type":"numeric_atoms","value":3802,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2375,"base":2},"right_expr":{"type":"numeric_atoms","value":1155,"base":2}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2470,"base":2},"right_expr":{"type":"numeric_atoms","value":1077,"base":2}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3498,"base":2}}}}},"used_operators":["3ViojmjbAp","u6S6b8DprG","rxpJgHHUmx","8HhzD0ZcuI","2DlMacCsIx","DhbWaqg5eL","tifHPKVTfV","bJkvcejdHO","P8v4zCKN1o"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-10111110101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1442","layer":4},{"info":"number node, value=3802","layer":4},{"info":"compute binary expreesion, left_input=1442, right_input=3802, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6248184","layer":3},{"info":"number node, value=2375","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=1155, 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=-6248184, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=44","layer":1},{"info":"number node, value=2470","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=2470, right_input=1077, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=639257","layer":3},{"info":"number node, value=3498","layer":4},{"info":"compute unary expreesion, input=3498, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4366","layer":3},{"info":"compute binary expreesion, left_input=639257, right_input=4366, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-634891","layer":2},{"info":"compute unary expreesion, input=-634891, 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=44, right_input=1522, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1525","layer":0}],"base":2,"result_base":2,"text":"(↽≂(≮⫘↔10110100010⨽≮⫘↔111011011010)≭(≮⫘↔100101000111⩨≮⫘↔10010000011))⨓(+⊝⨔(≮⫘↔100110100110≎⊠⪸≮⫘↔10000110101⇼⇔∾(∥⊫≮⫘↔110110101010)))=≮⫘↔-10111110101","reverse_text":"≮⫘↔-10111110101=(↽≂(≮⫘↔10110100010⨽≮⫘↔111011011010)≭(≮⫘↔100101000111⩨≮⫘↔10010000011))⨓(+⊝⨔(≮⫘↔100110100110≎⊠⪸≮⫘↔10000110101⇼⇔∾(∥⊫≮⫘↔110110101010)))","cot":[{"info":"≮⫘↔10110100010⨽≮⫘↔111011011010=≮⫘↔-10111110101011011111000","layer":3},{"info":"≮⫘↔100101000111⩨≮⫘↔10010000011=≮⫘↔0","layer":3},{"info":"≮⫘↔-10111110101011011111000≭≮⫘↔0=≮⫘↔-10110","layer":2},{"info":"↽≂≮⫘↔-10110=≮⫘↔101100","layer":1},{"info":"≮⫘↔100110100110≎⊠⪸≮⫘↔10000110101=≮⫘↔10011100000100011001","layer":3},{"info":"∥⊫≮⫘↔110110101010=≮⫘↔1000100001110","layer":3},{"info":"≮⫘↔10011100000100011001⇼⇔∾≮⫘↔1000100001110=≮⫘↔-10011011000000001011","layer":2},{"info":"+⊝⨔≮⫘↔-10011011000000001011=≮⫘↔10111110010","layer":1},{"info":"≮⫘↔101100⨓≮⫘↔10111110010=≮⫘↔-10111110101","layer":0}]}
{"id":342,"expression_no_base_symbol":"(((⨵≀≌$8184$)⨁⊸⫻)⊘)⪠⩆⊳","expression":"(((⨵≀≌≮⫘↔1111111111000)⨁⊸⫻)⊘)⪠⩆⊳","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":33,"operation_count":4,"complexity_ratio":8.25,"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":8184,"base":2}}}}},"used_operators":["JLbD19bQDL","gu96TGCTMs","glklzrTFfD","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8184","layer":4},{"info":"compute unary expreesion, input=8184, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-24552","layer":3},{"info":"compute unary expreesion, input=-24552, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-49104","layer":2},{"info":"compute unary expreesion, input=-49104, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, 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":0}],"base":2,"result_base":2,"text":"(((⨵≀≌≮⫘↔1111111111000)⨁⊸⫻)⊘)⪠⩆⊳=≮⫘↔0","reverse_text":"≮⫘↔0=(((⨵≀≌≮⫘↔1111111111000)⨁⊸⫻)⊘)⪠⩆⊳","cot":[{"info":"⨵≀≌≮⫘↔1111111111000=≮⫘↔-101111111101000","layer":3},{"info":"≮⫘↔-101111111101000⨁⊸⫻=≮⫘↔-1011111111010000","layer":2},{"info":"≮⫘↔-1011111111010000⊘=≮⫘↔-1","layer":1},{"info":"≮⫘↔-1⪠⩆⊳=≮⫘↔0","layer":0}]}
{"id":343,"expression_no_base_symbol":"((⨰⫟⨤$1262$)↬($5067$⩚⊴⇥$3302$)%($4957$⊴$3387$⨵⪆$4209$≎⊠⪸$1034$))⊴(($1455$⩚⊴⇥$2826$↪⪝)⋷(↣≠⋷$5057$)⩨($1216$⊭∹↮))","expression":"((⨰⫟⨤≮⫘↔10011101110)↬(≮⫘↔1001111001011⩚⊴⇥≮⫘↔110011100110)%(≮⫘↔1001101011101⊴≮⫘↔110100111011⨵⪆≮⫘↔1000001110001≎⊠⪸≮⫘↔10000001010))⊴((≮⫘↔10110101111⩚⊴⇥≮⫘↔101100001010↪⪝)⋷(↣≠⋷≮⫘↔1001111000001)⩨(≮⫘↔10011000000⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":15070,"operation_count":14,"complexity_ratio":1076.4285714285713,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1262,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5067,"base":2},"right_expr":{"type":"numeric_atoms","value":3302,"base":2}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4957,"base":2},"right_expr":{"type":"numeric_atoms","value":3387,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4209,"base":2},"right_expr":{"type":"numeric_atoms","value":1034,"base":2}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1455,"base":2},"right_expr":{"type":"numeric_atoms","value":2826,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5057,"base":2}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1216,"base":2}}}}},"used_operators":["Nsiff2A1zJ","k8jYdgA6NY","B5M0gjZbta","Tw270M8GLb","NTOWxs364D","2DQ55sFlQl","bJkvcejdHO","23Mk6UjR3U","l07mrZUIn9","2DlMacCsIx","Asc51vEJeQ","xNBdhnnwKq"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","rGHVDoGpnC","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1262","layer":4},{"info":"compute unary expreesion, input=1262, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=5067","layer":4},{"info":"number node, value=3302","layer":4},{"info":"compute binary expreesion, left_input=5067, right_input=3302, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8490","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8490, 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=4957","layer":4},{"info":"number node, value=3387","layer":4},{"info":"compute binary expreesion, left_input=4957, right_input=3387, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=4209","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=4209, right_input=1034, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1089658","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1089658, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1455","layer":4},{"info":"number node, value=2826","layer":4},{"info":"compute binary expreesion, left_input=1455, right_input=2826, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4402","layer":3},{"info":"compute unary expreesion, input=-4402, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-269323164","layer":2},{"info":"number node, value=5057","layer":4},{"info":"compute unary expreesion, input=5057, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1216","layer":4},{"info":"compute unary expreesion, input=1216, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2432","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2432, 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=-269323164, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=538646328","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=538646328, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨰⫟⨤≮⫘↔10011101110)↬(≮⫘↔1001111001011⩚⊴⇥≮⫘↔110011100110)%(≮⫘↔1001101011101⊴≮⫘↔110100111011⨵⪆≮⫘↔1000001110001≎⊠⪸≮⫘↔10000001010))⊴((≮⫘↔10110101111⩚⊴⇥≮⫘↔101100001010↪⪝)⋷(↣≠⋷≮⫘↔1001111000001)⩨(≮⫘↔10011000000⊭∹↮))=NaN","reverse_text":"NaN=((⨰⫟⨤≮⫘↔10011101110)↬(≮⫘↔1001111001011⩚⊴⇥≮⫘↔110011100110)%(≮⫘↔1001101011101⊴≮⫘↔110100111011⨵⪆≮⫘↔1000001110001≎⊠⪸≮⫘↔10000001010))⊴((≮⫘↔10110101111⩚⊴⇥≮⫘↔101100001010↪⪝)⋷(↣≠⋷≮⫘↔1001111000001)⩨(≮⫘↔10011000000⊭∹↮))","cot":[{"info":"⨰⫟⨤≮⫘↔10011101110=NaN","layer":3},{"info":"≮⫘↔1001111001011⩚⊴⇥≮⫘↔110011100110=≮⫘↔-10000100101010","layer":3},{"info":"NaN↬≮⫘↔-10000100101010=NaN","layer":2},{"info":"≮⫘↔1001101011101⊴≮⫘↔110100111011=NaN","layer":3},{"info":"≮⫘↔1000001110001≎⊠⪸≮⫘↔10000001010=≮⫘↔100001010000001111010","layer":3},{"info":"NaN⨵⪆≮⫘↔100001010000001111010=≮⫘↔10100000","layer":2},{"info":"NaN%≮⫘↔10100000=NaN","layer":1},{"info":"≮⫘↔10110101111⩚⊴⇥≮⫘↔101100001010=≮⫘↔-1000100110010","layer":3},{"info":"≮⫘↔-1000100110010↪⪝=≮⫘↔-10000000011011000101110011100","layer":2},{"info":"↣≠⋷≮⫘↔1001111000001=NaN","layer":3},{"info":"≮⫘↔10011000000⊭∹↮=≮⫘↔100110000000","layer":3},{"info":"NaN⩨≮⫘↔100110000000=NaN","layer":2},{"info":"≮⫘↔-10000000011011000101110011100⋷NaN=≮⫘↔100000000110110001011100111000","layer":1},{"info":"NaN⊴≮⫘↔100000000110110001011100111000=NaN","layer":0}]}
{"id":344,"expression_no_base_symbol":"(⪝⪂⫅(↣≠⋷(↽≂$4199$)))⋓((⊥$1069$)⪘⫢($1041$⊦⊿)⋥≓≎(≤/$5168$⇷$2675$))","expression":"(⪝⪂⫅(↣≠⋷(↽≂≮⫘↔1000001100111)))⋓((⊥≮⫘↔10000101101)⪘⫢(≮⫘↔10000010001⊦⊿)⋥≓≎(≤/≮⫘↔1010000110000⇷≮⫘↔101001110011))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":72400,"operation_count":10,"complexity_ratio":7240.0,"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":4199,"base":2}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1069,"base":2}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1041,"base":2}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5168,"base":2},"right_expr":{"type":"numeric_atoms","value":2675,"base":2}}}}},"used_operators":["T2fj7uvVaJ","XTarYq4gQB","Asc51vEJeQ","u6S6b8DprG","Qy55tPpLXF","oacrs7FA3X","Q3PJZHRvZv","14qkJME0vr","eLAdDNolq6","mp7IySMOzn"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","8w2t5hMYqp","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4199","layer":4},{"info":"compute unary expreesion, input=4199, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8398","layer":3},{"info":"compute unary expreesion, input=-8398, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"number node, value=1069","layer":4},{"info":"compute unary expreesion, input=1069, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1041","layer":4},{"info":"compute unary expreesion, input=1041, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3202","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3202, 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=5168","layer":4},{"info":"number node, value=2675","layer":4},{"info":"compute binary expreesion, left_input=5168, right_input=2675, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5350","layer":3},{"info":"compute unary expreesion, input=5350, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4866","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4866, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(⪝⪂⫅(↣≠⋷(↽≂≮⫘↔1000001100111)))⋓((⊥≮⫘↔10000101101)⪘⫢(≮⫘↔10000010001⊦⊿)⋥≓≎(≤/≮⫘↔1010000110000⇷≮⫘↔101001110011))=≮⫘↔0","reverse_text":"≮⫘↔0=(⪝⪂⫅(↣≠⋷(↽≂≮⫘↔1000001100111)))⋓((⊥≮⫘↔10000101101)⪘⫢(≮⫘↔10000010001⊦⊿)⋥≓≎(≤/≮⫘↔1010000110000⇷≮⫘↔101001110011))","cot":[{"info":"↽≂≮⫘↔1000001100111=≮⫘↔-10000011001110","layer":3},{"info":"↣≠⋷≮⫘↔-10000011001110=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"⊥≮⫘↔10000101101=NaN","layer":3},{"info":"≮⫘↔10000010001⊦⊿=≮⫘↔-110010000010","layer":3},{"info":"NaN⪘⫢≮⫘↔-110010000010=NaN","layer":2},{"info":"≮⫘↔1010000110000⇷≮⫘↔101001110011=≮⫘↔1010011100110","layer":3},{"info":"≤/≮⫘↔1010011100110=≮⫘↔-1001100000010","layer":2},{"info":"NaN⋥≓≎≮⫘↔-1001100000010=≮⫘↔1000011","layer":1},{"info":"NaN⋓≮⫘↔1000011=≮⫘↔0","layer":0}]}
{"id":345,"expression_no_base_symbol":"((≤/$3218$⨪↰⇹$2678$)⪘⫢(($2376$⋥≓≎$2833$)⩠))⪢((⨑⩽⪐($3618$⨸⪁$2802$))⨐⩸⫘$1778$⨪↰⇹$4444$⨎($1002$⊉≛↸$2702$))","expression":"((≤/≮⫘↔110010010010⨪↰⇹≮⫘↔101001110110)⪘⫢((≮⫘↔100101001000⋥≓≎≮⫘↔101100010001)⩠))⪢((⨑⩽⪐(≮⫘↔111000100010⨸⪁≮⫘↔101011110010))⨐⩸⫘≮⫘↔11011110010⨪↰⇹≮⫘↔1000101011100⨎(≮⫘↔1111101010⊉≛↸≮⫘↔101010001110))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5040,"operation_count":12,"complexity_ratio":420.0,"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":3218,"base":2},"right_expr":{"type":"numeric_atoms","value":2678,"base":2}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2376,"base":2},"right_expr":{"type":"numeric_atoms","value":2833,"base":2}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3618,"base":2},"right_expr":{"type":"numeric_atoms","value":2802,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1778,"base":2},"right_expr":{"type":"numeric_atoms","value":4444,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1002,"base":2},"right_expr":{"type":"numeric_atoms","value":2702,"base":2}}}}},"used_operators":["dWAJyo7jo9","oacrs7FA3X","eLAdDNolq6","tmPS8pqC7x","sJAwomhLZr","Qy55tPpLXF","fu6greOZ01","AF7qkfDlqP","g55IO6H4Gj","rJVOvQCfKK","DZ8iAZOCBD"],"dependent_operators":["k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3218","layer":4},{"info":"number node, value=2678","layer":4},{"info":"compute binary expreesion, left_input=3218, right_input=2678, 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=3218","layer":3},{"info":"compute unary expreesion, input=3218, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2734","layer":2},{"info":"number node, value=2376","layer":4},{"info":"number node, value=2833","layer":4},{"info":"compute binary expreesion, left_input=2376, right_input=2833, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3323","layer":3},{"info":"compute unary expreesion, input=3323, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-2734, right_input=0, 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=3618","layer":4},{"info":"number node, value=2802","layer":4},{"info":"compute binary expreesion, left_input=3618, right_input=2802, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12840","layer":3},{"info":"compute unary expreesion, input=12840, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-12567","layer":2},{"info":"number node, value=1778","layer":4},{"info":"number node, value=4444","layer":4},{"info":"compute binary expreesion, left_input=1778, right_input=4444, 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=1778","layer":3},{"info":"number node, value=1002","layer":4},{"info":"number node, value=2702","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=2702, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2004","layer":3},{"info":"compute binary expreesion, left_input=1778, right_input=2004, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2004","layer":2},{"info":"compute binary expreesion, left_input=-12567, right_input=2004, 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=-1, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≤/≮⫘↔110010010010⨪↰⇹≮⫘↔101001110110)⪘⫢((≮⫘↔100101001000⋥≓≎≮⫘↔101100010001)⩠))⪢((⨑⩽⪐(≮⫘↔111000100010⨸⪁≮⫘↔101011110010))⨐⩸⫘≮⫘↔11011110010⨪↰⇹≮⫘↔1000101011100⨎(≮⫘↔1111101010⊉≛↸≮⫘↔101010001110))=NaN","reverse_text":"NaN=((≤/≮⫘↔110010010010⨪↰⇹≮⫘↔101001110110)⪘⫢((≮⫘↔100101001000⋥≓≎≮⫘↔101100010001)⩠))⪢((⨑⩽⪐(≮⫘↔111000100010⨸⪁≮⫘↔101011110010))⨐⩸⫘≮⫘↔11011110010⨪↰⇹≮⫘↔1000101011100⨎(≮⫘↔1111101010⊉≛↸≮⫘↔101010001110))","cot":[{"info":"≮⫘↔110010010010⨪↰⇹≮⫘↔101001110110=≮⫘↔110010010010","layer":3},{"info":"≤/≮⫘↔110010010010=≮⫘↔-101010101110","layer":2},{"info":"≮⫘↔100101001000⋥≓≎≮⫘↔101100010001=≮⫘↔110011111011","layer":3},{"info":"≮⫘↔110011111011⩠=≮⫘↔0","layer":2},{"info":"≮⫘↔-101010101110⪘⫢≮⫘↔0=≮⫘↔-1","layer":1},{"info":"≮⫘↔111000100010⨸⪁≮⫘↔101011110010=≮⫘↔11001000101000","layer":3},{"info":"⨑⩽⪐≮⫘↔11001000101000=≮⫘↔-11000100010111","layer":2},{"info":"≮⫘↔11011110010⨪↰⇹≮⫘↔1000101011100=≮⫘↔11011110010","layer":3},{"info":"≮⫘↔1111101010⊉≛↸≮⫘↔101010001110=≮⫘↔11111010100","layer":3},{"info":"≮⫘↔11011110010⨎≮⫘↔11111010100=≮⫘↔11111010100","layer":2},{"info":"≮⫘↔-11000100010111⨐⩸⫘≮⫘↔11111010100=NaN","layer":1},{"info":"≮⫘↔-1⪢NaN=NaN","layer":0}]}
{"id":346,"expression_no_base_symbol":"(∂(($1786$%$1513$)⪒$3121$⋳⪒$7432$))≭(⨞⊢($5021$⪘⫢$3068$%$5765$≹⇙⪍$5285$))","expression":"(∂((≮⫘↔11011111010%≮⫘↔10111101001)⪒≮⫘↔110000110001⋳⪒≮⫘↔1110100001000))≭(⨞⊢(≮⫘↔1001110011101⪘⫢≮⫘↔101111111100%≮⫘↔1011010000101≹⇙⪍≮⫘↔1010010100101))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":32,"operation_count":9,"complexity_ratio":3.5555555555555554,"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":1786,"base":2},"right_expr":{"type":"numeric_atoms","value":1513,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3121,"base":2},"right_expr":{"type":"numeric_atoms","value":7432,"base":2}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5021,"base":2},"right_expr":{"type":"numeric_atoms","value":3068,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5765,"base":2},"right_expr":{"type":"numeric_atoms","value":5285,"base":2}}}}},"used_operators":["rxpJgHHUmx","Uaa54Peajs","f6k1SAg4EE","k8jYdgA6NY","12rbrZMWeM","xUOZtlo3hN","oacrs7FA3X","AHs5Up7iyr"],"dependent_operators":["AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1786","layer":4},{"info":"number node, value=1513","layer":4},{"info":"compute binary expreesion, left_input=1786, right_input=1513, op_id = k8jYdgA6NY binary_op_definition= 'None', output=273","layer":3},{"info":"number node, value=3121","layer":4},{"info":"number node, value=7432","layer":4},{"info":"compute binary expreesion, left_input=3121, right_input=7432, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1477","layer":3},{"info":"compute binary expreesion, left_input=273, right_input=-1477, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1204","layer":2},{"info":"compute unary expreesion, input=1204, 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=5021","layer":4},{"info":"number node, value=3068","layer":4},{"info":"compute binary expreesion, left_input=5021, right_input=3068, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9918","layer":3},{"info":"number node, value=5765","layer":4},{"info":"number node, value=5285","layer":4},{"info":"compute binary expreesion, left_input=5765, right_input=5285, 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=9918, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":0}],"base":2,"result_base":2,"text":"(∂((≮⫘↔11011111010%≮⫘↔10111101001)⪒≮⫘↔110000110001⋳⪒≮⫘↔1110100001000))≭(⨞⊢(≮⫘↔1001110011101⪘⫢≮⫘↔101111111100%≮⫘↔1011010000101≹⇙⪍≮⫘↔1010010100101))=NaN","reverse_text":"NaN=(∂((≮⫘↔11011111010%≮⫘↔10111101001)⪒≮⫘↔110000110001⋳⪒≮⫘↔1110100001000))≭(⨞⊢(≮⫘↔1001110011101⪘⫢≮⫘↔101111111100%≮⫘↔1011010000101≹⇙⪍≮⫘↔1010010100101))","cot":[{"info":"≮⫘↔11011111010%≮⫘↔10111101001=≮⫘↔100010001","layer":3},{"info":"≮⫘↔110000110001⋳⪒≮⫘↔1110100001000=≮⫘↔-10111000101","layer":3},{"info":"≮⫘↔100010001⪒≮⫘↔-10111000101=≮⫘↔10010110100","layer":2},{"info":"∂≮⫘↔10010110100=NaN","layer":1},{"info":"≮⫘↔1001110011101⪘⫢≮⫘↔101111111100=≮⫘↔10011010111110","layer":3},{"info":"≮⫘↔1011010000101≹⇙⪍≮⫘↔1010010100101=NaN","layer":3},{"info":"≮⫘↔10011010111110%NaN=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":347,"expression_no_base_symbol":"($1661$+⇶⊼$3966$+⇶⊼($1359$↺$2598$)⨸⪁(⊄⩳↩($4149$⨐⩸⫘$4039$)))⨟⋌⩍((≉$2644$)⪘⫢$1920$∀⇚≩$2891$∸)","expression":"(≮⫘↔11001111101+⇶⊼≮⫘↔111101111110+⇶⊼(≮⫘↔10101001111↺≮⫘↔101000100110)⨸⪁(⊄⩳↩(≮⫘↔1000000110101⨐⩸⫘≮⫘↔111111000111)))⨟⋌⩍((≉≮⫘↔101001010100)⪘⫢≮⫘↔11110000000∀⇚≩≮⫘↔101101001011∸)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14347,"operation_count":11,"complexity_ratio":1304.2727272727273,"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":1661,"base":2},"right_expr":{"type":"numeric_atoms","value":3966,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1359,"base":2},"right_expr":{"type":"numeric_atoms","value":2598,"base":2}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4149,"base":2},"right_expr":{"type":"numeric_atoms","value":4039,"base":2}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2644,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1920,"base":2},"right_expr":{"type":"numeric_atoms","value":2891,"base":2}}}}},"used_operators":["rGHVDoGpnC","g55IO6H4Gj","TpPTUOHfaN","7j4O788W3g","8w2t5hMYqp","fu6greOZ01","o20kRiQErp","oacrs7FA3X","e1ybzncUwg","LRNGc0VcxI"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","tmPS8pqC7x","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1661","layer":4},{"info":"number node, value=3966","layer":4},{"info":"compute binary expreesion, left_input=1661, right_input=3966, 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=1359","layer":4},{"info":"number node, value=2598","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=2598, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2598","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2598, 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=4149","layer":4},{"info":"number node, value=4039","layer":4},{"info":"compute binary expreesion, left_input=4149, right_input=4039, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"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":1},{"info":"number node, value=2644","layer":4},{"info":"compute unary expreesion, input=2644, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3175","layer":3},{"info":"number node, value=1920","layer":4},{"info":"number node, value=2891","layer":4},{"info":"compute binary expreesion, left_input=1920, right_input=2891, 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=3175, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11001111101+⇶⊼≮⫘↔111101111110+⇶⊼(≮⫘↔10101001111↺≮⫘↔101000100110)⨸⪁(⊄⩳↩(≮⫘↔1000000110101⨐⩸⫘≮⫘↔111111000111)))⨟⋌⩍((≉≮⫘↔101001010100)⪘⫢≮⫘↔11110000000∀⇚≩≮⫘↔101101001011∸)=NaN","reverse_text":"NaN=(≮⫘↔11001111101+⇶⊼≮⫘↔111101111110+⇶⊼(≮⫘↔10101001111↺≮⫘↔101000100110)⨸⪁(⊄⩳↩(≮⫘↔1000000110101⨐⩸⫘≮⫘↔111111000111)))⨟⋌⩍((≉≮⫘↔101001010100)⪘⫢≮⫘↔11110000000∀⇚≩≮⫘↔101101001011∸)","cot":[{"info":"≮⫘↔11001111101+⇶⊼≮⫘↔111101111110=NaN","layer":3},{"info":"≮⫘↔10101001111↺≮⫘↔101000100110=≮⫘↔101000100110","layer":3},{"info":"NaN+⇶⊼≮⫘↔101000100110=NaN","layer":2},{"info":"≮⫘↔1000000110101⨐⩸⫘≮⫘↔111111000111=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"≉≮⫘↔101001010100=≮⫘↔110001100111","layer":3},{"info":"≮⫘↔11110000000∀⇚≩≮⫘↔101101001011=NaN","layer":3},{"info":"≮⫘↔110001100111⪘⫢NaN=NaN","layer":2},{"info":"NaN∸=≮⫘↔10110001","layer":1},{"info":"NaN⨟⋌⩍≮⫘↔10110001=NaN","layer":0}]}
{"id":348,"expression_no_base_symbol":"(⩦⩻⨪(∥⊫$6355$))⨓(($1607$/$1105$)∑⇟⊟(↣≠⋷$3348$))⊪","expression":"(⩦⩻⨪(∥⊫≮⫘↔1100011010011))⨓((≮⫘↔11001000111/≮⫘↔10001010001)∑⇟⊟(↣≠⋷≮⫘↔110100010100))⊪","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":32,"operation_count":7,"complexity_ratio":4.571428571428571,"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":6355,"base":2}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1607,"base":2},"right_expr":{"type":"numeric_atoms","value":1105,"base":2}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3348,"base":2}}}}},"used_operators":["zVYPLywUTj","3ViojmjbAp","2td37pGCOC","P8v4zCKN1o","U7g4x0WXJJ","XhwjNDsVaA","Asc51vEJeQ"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=6355","layer":4},{"info":"compute unary expreesion, input=6355, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=7223","layer":3},{"info":"compute unary expreesion, input=7223, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7223","layer":2},{"info":"number node, value=1607","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=1607, right_input=1105, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=3348","layer":4},{"info":"compute unary expreesion, input=3348, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=nan, 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=7223, 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 = 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=nan","layer":0}],"base":2,"result_base":2,"text":"(⩦⩻⨪(∥⊫≮⫘↔1100011010011))⨓((≮⫘↔11001000111/≮⫘↔10001010001)∑⇟⊟(↣≠⋷≮⫘↔110100010100))⊪=NaN","reverse_text":"NaN=(⩦⩻⨪(∥⊫≮⫘↔1100011010011))⨓((≮⫘↔11001000111/≮⫘↔10001010001)∑⇟⊟(↣≠⋷≮⫘↔110100010100))⊪","cot":[{"info":"∥⊫≮⫘↔1100011010011=≮⫘↔1110000110111","layer":3},{"info":"⩦⩻⨪≮⫘↔1110000110111=≮⫘↔1110000110111","layer":2},{"info":"≮⫘↔11001000111/≮⫘↔10001010001=≮⫘↔1","layer":3},{"info":"↣≠⋷≮⫘↔110100010100=NaN","layer":3},{"info":"≮⫘↔1∑⇟⊟NaN=NaN","layer":2},{"info":"≮⫘↔1110000110111⨓NaN=NaN","layer":1},{"info":"NaN⊪=NaN","layer":0}]}
{"id":349,"expression_no_base_symbol":"↩(($5575$⨵⪆$7684$)∼($1097$≭$8246$)⨸⪁($3963$⪢$1121$)⪮%⊝($3374$⨽$7574$))","expression":"↩((≮⫘↔1010111000111⨵⪆≮⫘↔1111000000100)∼(≮⫘↔10001001001≭≮⫘↔10000000110110)⨸⪁(≮⫘↔111101111011⪢≮⫘↔10001100001)⪮%⊝(≮⫘↔110100101110⨽≮⫘↔1110110010110))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6160,"operation_count":8,"complexity_ratio":770.0,"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":5575,"base":2},"right_expr":{"type":"numeric_atoms","value":7684,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1097,"base":2},"right_expr":{"type":"numeric_atoms","value":8246,"base":2}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3963,"base":2},"right_expr":{"type":"numeric_atoms","value":1121,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3374,"base":2},"right_expr":{"type":"numeric_atoms","value":7574,"base":2}}}}},"used_operators":["jLgFTUHLKL","g55IO6H4Gj","DyGG3AbaNP","2DQ55sFlQl","rxpJgHHUmx","IWmyXbctLI","dWAJyo7jo9","8HhzD0ZcuI"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5575","layer":4},{"info":"number node, value=7684","layer":4},{"info":"compute binary expreesion, left_input=5575, right_input=7684, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1097","layer":4},{"info":"number node, value=8246","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=8246, 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=160, 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":"number node, value=3963","layer":4},{"info":"number node, value=1121","layer":4},{"info":"compute binary expreesion, left_input=3963, right_input=1121, 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=3374","layer":4},{"info":"number node, value=7574","layer":4},{"info":"compute binary expreesion, left_input=3374, right_input=7574, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-34173036","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-34173036, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↩((≮⫘↔1010111000111⨵⪆≮⫘↔1111000000100)∼(≮⫘↔10001001001≭≮⫘↔10000000110110)⨸⪁(≮⫘↔111101111011⪢≮⫘↔10001100001)⪮%⊝(≮⫘↔110100101110⨽≮⫘↔1110110010110))=NaN","reverse_text":"NaN=↩((≮⫘↔1010111000111⨵⪆≮⫘↔1111000000100)∼(≮⫘↔10001001001≭≮⫘↔10000000110110)⨸⪁(≮⫘↔111101111011⪢≮⫘↔10001100001)⪮%⊝(≮⫘↔110100101110⨽≮⫘↔1110110010110))","cot":[{"info":"≮⫘↔1010111000111⨵⪆≮⫘↔1111000000100=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10001001001≭≮⫘↔10000000110110=NaN","layer":3},{"info":"≮⫘↔10100000∼NaN=NaN","layer":2},{"info":"≮⫘↔111101111011⪢≮⫘↔10001100001=NaN","layer":3},{"info":"≮⫘↔110100101110⨽≮⫘↔1110110010110=≮⫘↔-10000010010111000001101100","layer":3},{"info":"NaN⪮%⊝≮⫘↔-10000010010111000001101100=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":350,"expression_no_base_symbol":"(⪲⇎(($6163$≋⫹)⪐))+(⊙↵-$3620$)⋝⋈⪟$1312$↬$4352$⋳⪒(↯⪼($2753$⪄$3303$))","expression":"(⪲⇎((≮⫘↔1100000010011≋⫹)⪐))+(⊙↵-≮⫘↔111000100100)⋝⋈⪟≮⫘↔10100100000↬≮⫘↔1000100000000⋳⪒(↯⪼(≮⫘↔101011000001⪄≮⫘↔110011100111))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3793,"operation_count":10,"complexity_ratio":379.3,"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":6163,"base":2}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3620,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1312,"base":2},"right_expr":{"type":"numeric_atoms","value":4352,"base":2}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2753,"base":2},"right_expr":{"type":"numeric_atoms","value":3303,"base":2}}}}},"used_operators":["W4YGzv6Whe","XPYlsWDdGa","eH2TOUuTDT","N41Kp7NANJ","12rbrZMWeM","2DDjHMKMc0","oWn0xqSxBt","B5M0gjZbta","8jW3W4yZS5","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rGHVDoGpnC","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6163","layer":4},{"info":"compute unary expreesion, input=6163, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-12326","layer":3},{"info":"compute unary expreesion, input=-12326, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-24652","layer":2},{"info":"compute unary expreesion, input=-24652, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-49304","layer":1},{"info":"number node, value=3620","layer":4},{"info":"compute unary expreesion, input=3620, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1312","layer":4},{"info":"number node, value=4352","layer":4},{"info":"compute binary expreesion, left_input=1312, right_input=4352, 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=-1, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=2753","layer":4},{"info":"number node, value=3303","layer":4},{"info":"compute binary expreesion, left_input=2753, right_input=3303, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-416745","layer":3},{"info":"compute unary expreesion, input=-416745, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=832573","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=832573, 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=-49304, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⪲⇎((≮⫘↔1100000010011≋⫹)⪐))+(⊙↵-≮⫘↔111000100100)⋝⋈⪟≮⫘↔10100100000↬≮⫘↔1000100000000⋳⪒(↯⪼(≮⫘↔101011000001⪄≮⫘↔110011100111))=NaN","reverse_text":"NaN=(⪲⇎((≮⫘↔1100000010011≋⫹)⪐))+(⊙↵-≮⫘↔111000100100)⋝⋈⪟≮⫘↔10100100000↬≮⫘↔1000100000000⋳⪒(↯⪼(≮⫘↔101011000001⪄≮⫘↔110011100111))","cot":[{"info":"≮⫘↔1100000010011≋⫹=≮⫘↔-11000000100110","layer":3},{"info":"≮⫘↔-11000000100110⪐=≮⫘↔-110000001001100","layer":2},{"info":"⪲⇎≮⫘↔-110000001001100=≮⫘↔-1100000010011000","layer":1},{"info":"⊙↵-≮⫘↔111000100100=≮⫘↔-1","layer":3},{"info":"≮⫘↔10100100000↬≮⫘↔1000100000000=NaN","layer":3},{"info":"≮⫘↔-1⋝⋈⪟NaN=NaN","layer":2},{"info":"≮⫘↔101011000001⪄≮⫘↔110011100111=≮⫘↔-1100101101111101001","layer":3},{"info":"↯⪼≮⫘↔-1100101101111101001=≮⫘↔11001011010000111101","layer":2},{"info":"NaN⋳⪒≮⫘↔11001011010000111101=NaN","layer":1},{"info":"≮⫘↔-1100000010011000+NaN=NaN","layer":0}]}
{"id":351,"expression_no_base_symbol":"⪲⇎(($4637$⊉≛↸$2711$)↬$3699$≹⇙⪍$4796$⋷($5289$⪒$1666$)⋥≓≎($1158$⇼⇔∾$4340$))","expression":"⪲⇎((≮⫘↔1001000011101⊉≛↸≮⫘↔101010010111)↬≮⫘↔111001110011≹⇙⪍≮⫘↔1001010111100⋷(≮⫘↔1010010101001⪒≮⫘↔11010000010)⋥≓≎(≮⫘↔10010000110⇼⇔∾≮⫘↔1000011110100))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":15,"operation_count":8,"complexity_ratio":1.875,"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":4637,"base":2},"right_expr":{"type":"numeric_atoms","value":2711,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3699,"base":2},"right_expr":{"type":"numeric_atoms","value":4796,"base":2}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5289,"base":2},"right_expr":{"type":"numeric_atoms","value":1666,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1158,"base":2},"right_expr":{"type":"numeric_atoms","value":4340,"base":2}}}}},"used_operators":["XPYlsWDdGa","23Mk6UjR3U","B5M0gjZbta","DZ8iAZOCBD","AHs5Up7iyr","Qy55tPpLXF","f6k1SAg4EE","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4637","layer":4},{"info":"number node, value=2711","layer":4},{"info":"compute binary expreesion, left_input=4637, right_input=2711, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9274","layer":3},{"info":"number node, value=3699","layer":4},{"info":"number node, value=4796","layer":4},{"info":"compute binary expreesion, left_input=3699, right_input=4796, 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=9274, 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":2},{"info":"number node, value=5289","layer":4},{"info":"number node, value=1666","layer":4},{"info":"compute binary expreesion, left_input=5289, right_input=1666, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6955","layer":3},{"info":"number node, value=1158","layer":4},{"info":"number node, value=4340","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=4340, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3182","layer":3},{"info":"compute binary expreesion, left_input=-6955, right_input=3182, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⪲⇎((≮⫘↔1001000011101⊉≛↸≮⫘↔101010010111)↬≮⫘↔111001110011≹⇙⪍≮⫘↔1001010111100⋷(≮⫘↔1010010101001⪒≮⫘↔11010000010)⋥≓≎(≮⫘↔10010000110⇼⇔∾≮⫘↔1000011110100))=NaN","reverse_text":"NaN=⪲⇎((≮⫘↔1001000011101⊉≛↸≮⫘↔101010010111)↬≮⫘↔111001110011≹⇙⪍≮⫘↔1001010111100⋷(≮⫘↔1010010101001⪒≮⫘↔11010000010)⋥≓≎(≮⫘↔10010000110⇼⇔∾≮⫘↔1000011110100))","cot":[{"info":"≮⫘↔1001000011101⊉≛↸≮⫘↔101010010111=≮⫘↔10010000111010","layer":3},{"info":"≮⫘↔111001110011≹⇙⪍≮⫘↔1001010111100=NaN","layer":3},{"info":"≮⫘↔10010000111010↬NaN=NaN","layer":2},{"info":"≮⫘↔1010010101001⪒≮⫘↔11010000010=≮⫘↔-1101100101011","layer":3},{"info":"≮⫘↔10010000110⇼⇔∾≮⫘↔1000011110100=≮⫘↔110001101110","layer":3},{"info":"≮⫘↔-1101100101011⋥≓≎≮⫘↔110001101110=≮⫘↔1000011","layer":2},{"info":"NaN⋷≮⫘↔1000011=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":352,"expression_no_base_symbol":"($1215$⋓$1339$⨽($2428$⊦⊿))⫥∨⫟(($1508$-$4248$)⫸⊐(⇁⨣⪵$1295$))⋷(($4718$⊦⊿)⊉≛↸($7301$≋⫹))≭($6799$⨳⩥⨓$1209$⪨≂$2273$⪢$1448$)","expression":"(≮⫘↔10010111111⋓≮⫘↔10100111011⨽(≮⫘↔100101111100⊦⊿))⫥∨⫟((≮⫘↔10111100100-≮⫘↔1000010011000)⫸⊐(⇁⨣⪵≮⫘↔10100001111))⋷((≮⫘↔1001001101110⊦⊿)⊉≛↸(≮⫘↔1110010000101≋⫹))≭(≮⫘↔1101010001111⨳⩥⨓≮⫘↔10010111001⪨≂≮⫘↔100011100001⪢≮⫘↔10110101000)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4025,"operation_count":15,"complexity_ratio":268.3333333333333,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1215,"base":2},"right_expr":{"type":"numeric_atoms","value":1339,"base":2}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2428,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1508,"base":2},"right_expr":{"type":"numeric_atoms","value":4248,"base":2}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1295,"base":2}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":4718,"base":2}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":7301,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6799,"base":2},"right_expr":{"type":"numeric_atoms","value":1209,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2273,"base":2},"right_expr":{"type":"numeric_atoms","value":1448,"base":2}}}}},"used_operators":["23Mk6UjR3U","KYD54nUTWz","8HhzD0ZcuI","T2fj7uvVaJ","14qkJME0vr","mqXw5SEYmG","rysDP5nf3Z","inkyxCbjAn","rxpJgHHUmx","DZ8iAZOCBD","N41Kp7NANJ","sdazOOVcIp","nCS4ZIUYfx","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1215","layer":4},{"info":"number node, value=1339","layer":4},{"info":"compute binary expreesion, left_input=1215, right_input=1339, 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=2428","layer":4},{"info":"compute unary expreesion, input=2428, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-7363","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7363, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=23403","layer":2},{"info":"number node, value=1508","layer":4},{"info":"number node, value=4248","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=4248, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2740","layer":3},{"info":"number node, value=1295","layer":4},{"info":"compute unary expreesion, input=1295, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2740, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=23403, right_input=968, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=4718","layer":4},{"info":"compute unary expreesion, input=4718, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-14233","layer":3},{"info":"number node, value=7301","layer":4},{"info":"compute unary expreesion, input=7301, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-14602","layer":3},{"info":"compute binary expreesion, left_input=-14233, right_input=-14602, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=14602","layer":2},{"info":"number node, value=6799","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=6799, right_input=1209, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5590","layer":3},{"info":"number node, value=2273","layer":4},{"info":"number node, value=1448","layer":4},{"info":"compute binary expreesion, left_input=2273, right_input=1448, 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=-5590, 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":2},{"info":"compute binary expreesion, left_input=14602, 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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10010111111⋓≮⫘↔10100111011⨽(≮⫘↔100101111100⊦⊿))⫥∨⫟((≮⫘↔10111100100-≮⫘↔1000010011000)⫸⊐(⇁⨣⪵≮⫘↔10100001111))⋷((≮⫘↔1001001101110⊦⊿)⊉≛↸(≮⫘↔1110010000101≋⫹))≭(≮⫘↔1101010001111⨳⩥⨓≮⫘↔10010111001⪨≂≮⫘↔100011100001⪢≮⫘↔10110101000)=NaN","reverse_text":"NaN=(≮⫘↔10010111111⋓≮⫘↔10100111011⨽(≮⫘↔100101111100⊦⊿))⫥∨⫟((≮⫘↔10111100100-≮⫘↔1000010011000)⫸⊐(⇁⨣⪵≮⫘↔10100001111))⋷((≮⫘↔1001001101110⊦⊿)⊉≛↸(≮⫘↔1110010000101≋⫹))≭(≮⫘↔1101010001111⨳⩥⨓≮⫘↔10010111001⪨≂≮⫘↔100011100001⪢≮⫘↔10110101000)","cot":[{"info":"≮⫘↔10010111111⋓≮⫘↔10100111011=≮⫘↔0","layer":3},{"info":"≮⫘↔100101111100⊦⊿=≮⫘↔-1110011000011","layer":3},{"info":"≮⫘↔0⨽≮⫘↔-1110011000011=≮⫘↔101101101101011","layer":2},{"info":"≮⫘↔10111100100-≮⫘↔1000010011000=≮⫘↔-101010110100","layer":3},{"info":"⇁⨣⪵≮⫘↔10100001111=NaN","layer":3},{"info":"≮⫘↔-101010110100⫸⊐NaN=≮⫘↔1111001000","layer":2},{"info":"≮⫘↔101101101101011⫥∨⫟≮⫘↔1111001000=NaN","layer":1},{"info":"≮⫘↔1001001101110⊦⊿=≮⫘↔-11011110011001","layer":3},{"info":"≮⫘↔1110010000101≋⫹=≮⫘↔-11100100001010","layer":3},{"info":"≮⫘↔-11011110011001⊉≛↸≮⫘↔-11100100001010=≮⫘↔11100100001010","layer":2},{"info":"≮⫘↔1101010001111⨳⩥⨓≮⫘↔10010111001=≮⫘↔-1010111010110","layer":3},{"info":"≮⫘↔100011100001⪢≮⫘↔10110101000=NaN","layer":3},{"info":"≮⫘↔-1010111010110⪨≂NaN=NaN","layer":2},{"info":"≮⫘↔11100100001010≭NaN=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":353,"expression_no_base_symbol":"($1847$⩨$2014$*$5457$⨳⩥⨓$3523$⨵⪆(-(↩$1605$)))⨟⋌⩍(≉($2649$⪨≂$5959$)≹⇙⪍($1038$⊉≛↸$2397$))","expression":"(≮⫘↔11100110111⩨≮⫘↔11111011110*≮⫘↔1010101010001⨳⩥⨓≮⫘↔110111000011⨵⪆(-(↩≮⫘↔11001000101)))⨟⋌⩍(≉(≮⫘↔101001011001⪨≂≮⫘↔1011101000111)≹⇙⪍(≮⫘↔10000001110⊉≛↸≮⫘↔100101011101))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":38,"operation_count":11,"complexity_ratio":3.4545454545454546,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1847,"base":2},"right_expr":{"type":"numeric_atoms","value":2014,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5457,"base":2},"right_expr":{"type":"numeric_atoms","value":3523,"base":2}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1605,"base":2}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2649,"base":2},"right_expr":{"type":"numeric_atoms","value":5959,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1038,"base":2},"right_expr":{"type":"numeric_atoms","value":2397,"base":2}}}}},"used_operators":["rGHVDoGpnC","2DQ55sFlQl","9HNa5Wba9A","2DlMacCsIx","nCS4ZIUYfx","t8gj7n24qd","jLgFTUHLKL","e1ybzncUwg","AHs5Up7iyr","sdazOOVcIp","DZ8iAZOCBD"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1847","layer":4},{"info":"number node, value=2014","layer":4},{"info":"compute binary expreesion, left_input=1847, right_input=2014, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=5457","layer":4},{"info":"number node, value=3523","layer":4},{"info":"compute binary expreesion, left_input=5457, right_input=3523, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1934","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-1934, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5802","layer":2},{"info":"number node, value=1605","layer":4},{"info":"compute unary expreesion, input=1605, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-10060","layer":3},{"info":"compute unary expreesion, input=-10060, op_id = t8gj7n24qd, unary_op_definition = 'None', output=10060","layer":2},{"info":"compute binary expreesion, left_input=5802, right_input=10060, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2649","layer":4},{"info":"number node, value=5959","layer":4},{"info":"compute binary expreesion, left_input=2649, right_input=5959, 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=-6518","layer":3},{"info":"number node, value=1038","layer":4},{"info":"number node, value=2397","layer":4},{"info":"compute binary expreesion, left_input=1038, right_input=2397, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2076","layer":3},{"info":"compute binary expreesion, left_input=-6518, right_input=2076, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11100110111⩨≮⫘↔11111011110*≮⫘↔1010101010001⨳⩥⨓≮⫘↔110111000011⨵⪆(-(↩≮⫘↔11001000101)))⨟⋌⩍(≉(≮⫘↔101001011001⪨≂≮⫘↔1011101000111)≹⇙⪍(≮⫘↔10000001110⊉≛↸≮⫘↔100101011101))=NaN","reverse_text":"NaN=(≮⫘↔11100110111⩨≮⫘↔11111011110*≮⫘↔1010101010001⨳⩥⨓≮⫘↔110111000011⨵⪆(-(↩≮⫘↔11001000101)))⨟⋌⩍(≉(≮⫘↔101001011001⪨≂≮⫘↔1011101000111)≹⇙⪍(≮⫘↔10000001110⊉≛↸≮⫘↔100101011101))","cot":[{"info":"≮⫘↔11100110111⩨≮⫘↔11111011110=≮⫘↔-11","layer":3},{"info":"≮⫘↔1010101010001⨳⩥⨓≮⫘↔110111000011=≮⫘↔-11110001110","layer":3},{"info":"≮⫘↔-11*≮⫘↔-11110001110=≮⫘↔1011010101010","layer":2},{"info":"↩≮⫘↔11001000101=≮⫘↔-10011101001100","layer":3},{"info":"-≮⫘↔-10011101001100=≮⫘↔10011101001100","layer":2},{"info":"≮⫘↔1011010101010⨵⪆≮⫘↔10011101001100=≮⫘↔10100000","layer":1},{"info":"≮⫘↔101001011001⪨≂≮⫘↔1011101000111=≮⫘↔-1100101110110","layer":3},{"info":"≮⫘↔10000001110⊉≛↸≮⫘↔100101011101=≮⫘↔100000011100","layer":3},{"info":"≮⫘↔-1100101110110≹⇙⪍≮⫘↔100000011100=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"≮⫘↔10100000⨟⋌⩍NaN=NaN","layer":0}]}
{"id":354,"expression_no_base_symbol":"(($6480$∼$2213$⨎($1128$-$1790$))⩚⊴⇥(($3684$⋷$2351$)↙$7069$⪛$2178$))⪢($1959$↬$1127$⋝⋈⪟$6283$∑⇟⊟$1224$⨵⪆($7742$⩠)⨐⩸⫘$1110$≎⊠⪸$1316$)","expression":"((≮⫘↔1100101010000∼≮⫘↔100010100101⨎(≮⫘↔10001101000-≮⫘↔11011111110))⩚⊴⇥((≮⫘↔111001100100⋷≮⫘↔100100101111)↙≮⫘↔1101110011101⪛≮⫘↔100010000010))⪢(≮⫘↔11110100111↬≮⫘↔10001100111⋝⋈⪟≮⫘↔1100010001011∑⇟⊟≮⫘↔10011001000⨵⪆(≮⫘↔1111000111110⩠)⨐⩸⫘≮⫘↔10001010110≎⊠⪸≮⫘↔10100100100)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2848,"operation_count":15,"complexity_ratio":189.86666666666667,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6480,"base":2},"right_expr":{"type":"numeric_atoms","value":2213,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1128,"base":2},"right_expr":{"type":"numeric_atoms","value":1790,"base":2}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3684,"base":2},"right_expr":{"type":"numeric_atoms","value":2351,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7069,"base":2},"right_expr":{"type":"numeric_atoms","value":2178,"base":2}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1959,"base":2},"right_expr":{"type":"numeric_atoms","value":1127,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6283,"base":2},"right_expr":{"type":"numeric_atoms","value":1224,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":7742,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1110,"base":2},"right_expr":{"type":"numeric_atoms","value":1316,"base":2}}}}},"used_operators":["dWAJyo7jo9","NTOWxs364D","rJVOvQCfKK","DyGG3AbaNP","rysDP5nf3Z","yyfyN0ffXY","23Mk6UjR3U","uFcxV4UQCh","2DQ55sFlQl","2DDjHMKMc0","B5M0gjZbta","U7g4x0WXJJ","fu6greOZ01","sJAwomhLZr","bJkvcejdHO"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6480","layer":4},{"info":"number node, value=2213","layer":4},{"info":"compute binary expreesion, left_input=6480, right_input=2213, 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=1128","layer":4},{"info":"number node, value=1790","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=1790, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-662","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-662, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-662","layer":2},{"info":"number node, value=3684","layer":4},{"info":"number node, value=2351","layer":4},{"info":"compute binary expreesion, left_input=3684, right_input=2351, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1018","layer":3},{"info":"number node, value=7069","layer":4},{"info":"number node, value=2178","layer":4},{"info":"compute binary expreesion, left_input=7069, right_input=2178, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=535","layer":3},{"info":"compute binary expreesion, left_input=1018, right_input=535, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1605","layer":2},{"info":"compute binary expreesion, left_input=-662, right_input=-1605, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=2146","layer":1},{"info":"number node, value=1959","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=1959, right_input=1127, 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=6283","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=6283, right_input=1224, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=7742","layer":4},{"info":"compute unary expreesion, input=7742, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1110","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=1110, right_input=1316, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=287017","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=287017, 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=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=2146, right_input=160, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1100101010000∼≮⫘↔100010100101⨎(≮⫘↔10001101000-≮⫘↔11011111110))⩚⊴⇥((≮⫘↔111001100100⋷≮⫘↔100100101111)↙≮⫘↔1101110011101⪛≮⫘↔100010000010))⪢(≮⫘↔11110100111↬≮⫘↔10001100111⋝⋈⪟≮⫘↔1100010001011∑⇟⊟≮⫘↔10011001000⨵⪆(≮⫘↔1111000111110⩠)⨐⩸⫘≮⫘↔10001010110≎⊠⪸≮⫘↔10100100100)=NaN","reverse_text":"NaN=((≮⫘↔1100101010000∼≮⫘↔100010100101⨎(≮⫘↔10001101000-≮⫘↔11011111110))⩚⊴⇥((≮⫘↔111001100100⋷≮⫘↔100100101111)↙≮⫘↔1101110011101⪛≮⫘↔100010000010))⪢(≮⫘↔11110100111↬≮⫘↔10001100111⋝⋈⪟≮⫘↔1100010001011∑⇟⊟≮⫘↔10011001000⨵⪆(≮⫘↔1111000111110⩠)⨐⩸⫘≮⫘↔10001010110≎⊠⪸≮⫘↔10100100100)","cot":[{"info":"≮⫘↔1100101010000∼≮⫘↔100010100101=NaN","layer":3},{"info":"≮⫘↔10001101000-≮⫘↔11011111110=≮⫘↔-1010010110","layer":3},{"info":"NaN⨎≮⫘↔-1010010110=≮⫘↔-1010010110","layer":2},{"info":"≮⫘↔111001100100⋷≮⫘↔100100101111=≮⫘↔1111111010","layer":3},{"info":"≮⫘↔1101110011101⪛≮⫘↔100010000010=≮⫘↔1000010111","layer":3},{"info":"≮⫘↔1111111010↙≮⫘↔1000010111=≮⫘↔-11001000101","layer":2},{"info":"≮⫘↔-1010010110⩚⊴⇥≮⫘↔-11001000101=≮⫘↔100001100010","layer":1},{"info":"≮⫘↔11110100111↬≮⫘↔10001100111=NaN","layer":3},{"info":"≮⫘↔1100010001011∑⇟⊟≮⫘↔10011001000=NaN","layer":3},{"info":"NaN⋝⋈⪟NaN=NaN","layer":2},{"info":"≮⫘↔1111000111110⩠=≮⫘↔0","layer":3},{"info":"≮⫘↔10001010110≎⊠⪸≮⫘↔10100100100=≮⫘↔1000110000100101001","layer":3},{"info":"≮⫘↔0⨐⩸⫘≮⫘↔1000110000100101001=NaN","layer":2},{"info":"NaN⨵⪆NaN=≮⫘↔10100000","layer":1},{"info":"≮⫘↔100001100010⪢≮⫘↔10100000=NaN","layer":0}]}
{"id":355,"expression_no_base_symbol":"((≉$3257$)⨎($3142$⫸⊐$3300$))⋓($1342$⨵⪆$2423$)↬$7620$⊴$2736$⨸⪁(⊙↵-($3682$⪘⫢$2218$⇼⇔∾(↩$1441$)))","expression":"((≉≮⫘↔110010111001)⨎(≮⫘↔110001000110⫸⊐≮⫘↔110011100100))⋓(≮⫘↔10100111110⨵⪆≮⫘↔100101110111)↬≮⫘↔1110111000100⊴≮⫘↔101010110000⨸⪁(⊙↵-(≮⫘↔111001100010⪘⫢≮⫘↔100010101010⇼⇔∾(↩≮⫘↔10110100001)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":20179,"operation_count":12,"complexity_ratio":1681.5833333333333,"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":3257,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3142,"base":2},"right_expr":{"type":"numeric_atoms","value":3300,"base":2}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1342,"base":2},"right_expr":{"type":"numeric_atoms","value":2423,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7620,"base":2},"right_expr":{"type":"numeric_atoms","value":2736,"base":2}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3682,"base":2},"right_expr":{"type":"numeric_atoms","value":2218,"base":2}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1441,"base":2}}}}},"used_operators":["g55IO6H4Gj","T2fj7uvVaJ","rJVOvQCfKK","e1ybzncUwg","mqXw5SEYmG","B5M0gjZbta","2DQ55sFlQl","Nsiff2A1zJ","oWn0xqSxBt","tifHPKVTfV","oacrs7FA3X","jLgFTUHLKL"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3257","layer":4},{"info":"compute unary expreesion, input=3257, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3788","layer":3},{"info":"number node, value=3142","layer":4},{"info":"number node, value=3300","layer":4},{"info":"compute binary expreesion, left_input=3142, right_input=3300, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13075","layer":3},{"info":"compute binary expreesion, left_input=3788, right_input=13075, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=13075","layer":2},{"info":"number node, value=1342","layer":4},{"info":"number node, value=2423","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=2423, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=7620","layer":4},{"info":"number node, value=2736","layer":4},{"info":"compute binary expreesion, left_input=7620, right_input=2736, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, 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":2},{"info":"compute binary expreesion, left_input=13075, 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":1},{"info":"number node, value=3682","layer":4},{"info":"number node, value=2218","layer":4},{"info":"compute binary expreesion, left_input=3682, right_input=2218, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7240","layer":3},{"info":"number node, value=1441","layer":4},{"info":"compute unary expreesion, input=1441, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-8748","layer":3},{"info":"compute binary expreesion, left_input=7240, right_input=-8748, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-15988","layer":2},{"info":"compute unary expreesion, input=-15988, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=196, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≉≮⫘↔110010111001)⨎(≮⫘↔110001000110⫸⊐≮⫘↔110011100100))⋓(≮⫘↔10100111110⨵⪆≮⫘↔100101110111)↬≮⫘↔1110111000100⊴≮⫘↔101010110000⨸⪁(⊙↵-(≮⫘↔111001100010⪘⫢≮⫘↔100010101010⇼⇔∾(↩≮⫘↔10110100001)))=NaN","reverse_text":"NaN=((≉≮⫘↔110010111001)⨎(≮⫘↔110001000110⫸⊐≮⫘↔110011100100))⋓(≮⫘↔10100111110⨵⪆≮⫘↔100101110111)↬≮⫘↔1110111000100⊴≮⫘↔101010110000⨸⪁(⊙↵-(≮⫘↔111001100010⪘⫢≮⫘↔100010101010⇼⇔∾(↩≮⫘↔10110100001)))","cot":[{"info":"≉≮⫘↔110010111001=≮⫘↔111011001100","layer":3},{"info":"≮⫘↔110001000110⫸⊐≮⫘↔110011100100=≮⫘↔11001100010011","layer":3},{"info":"≮⫘↔111011001100⨎≮⫘↔11001100010011=≮⫘↔11001100010011","layer":2},{"info":"≮⫘↔10100111110⨵⪆≮⫘↔100101110111=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1110111000100⊴≮⫘↔101010110000=NaN","layer":3},{"info":"≮⫘↔10100000↬NaN=NaN","layer":2},{"info":"≮⫘↔11001100010011⋓NaN=NaN","layer":1},{"info":"≮⫘↔111001100010⪘⫢≮⫘↔100010101010=≮⫘↔1110001001000","layer":3},{"info":"↩≮⫘↔10110100001=≮⫘↔-10001000101100","layer":3},{"info":"≮⫘↔1110001001000⇼⇔∾≮⫘↔-10001000101100=≮⫘↔-11111001110100","layer":2},{"info":"⊙↵-≮⫘↔-11111001110100=≮⫘↔11000100","layer":1},{"info":"NaN⨸⪁≮⫘↔11000100=NaN","layer":0}]}
{"id":356,"expression_no_base_symbol":"⫛⫱⨽((⫛⫱⨽($1924$∲⫓$3374$))↛⩡⫤)","expression":"⫛⫱⨽((⫛⫱⨽(≮⫘↔11110000100∲⫓≮⫘↔110100101110))↛⩡⫤)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1892,"operation_count":4,"complexity_ratio":473.0,"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":1924,"base":2},"right_expr":{"type":"numeric_atoms","value":3374,"base":2}}}}},"used_operators":["DlLNRPXxWL","FU0Cs4j7VP","i8ToyICDmI"],"dependent_operators":["rGHVDoGpnC","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1924","layer":4},{"info":"number node, value=3374","layer":4},{"info":"compute binary expreesion, left_input=1924, right_input=3374, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":2,"result_base":2,"text":"⫛⫱⨽((⫛⫱⨽(≮⫘↔11110000100∲⫓≮⫘↔110100101110))↛⩡⫤)=≮⫘↔0","reverse_text":"≮⫘↔0=⫛⫱⨽((⫛⫱⨽(≮⫘↔11110000100∲⫓≮⫘↔110100101110))↛⩡⫤)","cot":[{"info":"≮⫘↔11110000100∲⫓≮⫘↔110100101110=≮⫘↔0","layer":3},{"info":"⫛⫱⨽≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔0↛⩡⫤=≮⫘↔0","layer":1},{"info":"⫛⫱⨽≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":357,"expression_no_base_symbol":"↣≠⋷(-(-$1932$⨪↰⇹$1075$))","expression":"↣≠⋷(-(-≮⫘↔11110001100⨪↰⇹≮⫘↔10000110011))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1937,"operation_count":4,"complexity_ratio":484.25,"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":1932,"base":2},"right_expr":{"type":"numeric_atoms","value":1075,"base":2}}}}},"used_operators":["Asc51vEJeQ","t8gj7n24qd","tmPS8pqC7x"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1932","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=1932, right_input=1075, 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=1932","layer":3},{"info":"compute unary expreesion, input=1932, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1932","layer":2},{"info":"compute unary expreesion, input=-1932, op_id = t8gj7n24qd, unary_op_definition = 'None', output=1932","layer":1},{"info":"compute unary expreesion, input=1932, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↣≠⋷(-(-≮⫘↔11110001100⨪↰⇹≮⫘↔10000110011))=NaN","reverse_text":"NaN=↣≠⋷(-(-≮⫘↔11110001100⨪↰⇹≮⫘↔10000110011))","cot":[{"info":"≮⫘↔11110001100⨪↰⇹≮⫘↔10000110011=≮⫘↔11110001100","layer":3},{"info":"-≮⫘↔11110001100=≮⫘↔-11110001100","layer":2},{"info":"-≮⫘↔-11110001100=≮⫘↔11110001100","layer":1},{"info":"↣≠⋷≮⫘↔11110001100=NaN","layer":0}]}
{"id":358,"expression_no_base_symbol":"((($1337$⪠⩆⊳)⊭↱$7131$⋥≓≎$4293$)⋓($1457$⋓$2272$⨰($1248$⋥≓≎$2331$)))∀⇚≩($4309$⫥∨⫟$1215$⨳⩥⨓(⋗⩬⋾$3746$)/($4237$∼$2160$⊭∹↮))","expression":"(((≮⫘↔10100111001⪠⩆⊳)⊭↱≮⫘↔1101111011011⋥≓≎≮⫘↔1000011000101)⋓(≮⫘↔10110110001⋓≮⫘↔100011100000⨰(≮⫘↔10011100000⋥≓≎≮⫘↔100100011011)))∀⇚≩(≮⫘↔1000011010101⫥∨⫟≮⫘↔10010111111⨳⩥⨓(⋗⩬⋾≮⫘↔111010100010)/(≮⫘↔1000010001101∼≮⫘↔100001110000⊭∹↮))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":305,"operation_count":14,"complexity_ratio":21.785714285714285,"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":1337,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7131,"base":2},"right_expr":{"type":"numeric_atoms","value":4293,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1457,"base":2},"right_expr":{"type":"numeric_atoms","value":2272,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1248,"base":2},"right_expr":{"type":"numeric_atoms","value":2331,"base":2}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4309,"base":2},"right_expr":{"type":"numeric_atoms","value":1215,"base":2}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3746,"base":2}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4237,"base":2},"right_expr":{"type":"numeric_atoms","value":2160,"base":2}}}}},"used_operators":["LRNGc0VcxI","T2fj7uvVaJ","COABgblf1C","JLbD19bQDL","Qy55tPpLXF","eewbuw0ToL","XhwjNDsVaA","nCS4ZIUYfx","KYD54nUTWz","DpFCA1CohY","xNBdhnnwKq","DyGG3AbaNP"],"dependent_operators":["X99M06cbEe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1337","layer":4},{"info":"compute unary expreesion, input=1337, op_id = 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=7131","layer":4},{"info":"number node, value=4293","layer":4},{"info":"compute binary expreesion, left_input=7131, right_input=4293, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1488","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1488, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2981","layer":2},{"info":"number node, value=1457","layer":4},{"info":"number node, value=2272","layer":4},{"info":"compute binary expreesion, left_input=1457, right_input=2272, 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=1248","layer":4},{"info":"number node, value=2331","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=2331, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3447","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3447, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3437","layer":2},{"info":"compute binary expreesion, left_input=2981, right_input=-3437, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=4309","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=4309, right_input=1215, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3746","layer":4},{"info":"compute unary expreesion, input=3746, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-11238","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11238, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=4237","layer":4},{"info":"number node, value=2160","layer":4},{"info":"compute binary expreesion, left_input=4237, right_input=2160, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10100111001⪠⩆⊳)⊭↱≮⫘↔1101111011011⋥≓≎≮⫘↔1000011000101)⋓(≮⫘↔10110110001⋓≮⫘↔100011100000⨰(≮⫘↔10011100000⋥≓≎≮⫘↔100100011011)))∀⇚≩(≮⫘↔1000011010101⫥∨⫟≮⫘↔10010111111⨳⩥⨓(⋗⩬⋾≮⫘↔111010100010)/(≮⫘↔1000010001101∼≮⫘↔100001110000⊭∹↮))=NaN","reverse_text":"NaN=(((≮⫘↔10100111001⪠⩆⊳)⊭↱≮⫘↔1101111011011⋥≓≎≮⫘↔1000011000101)⋓(≮⫘↔10110110001⋓≮⫘↔100011100000⨰(≮⫘↔10011100000⋥≓≎≮⫘↔100100011011)))∀⇚≩(≮⫘↔1000011010101⫥∨⫟≮⫘↔10010111111⨳⩥⨓(⋗⩬⋾≮⫘↔111010100010)/(≮⫘↔1000010001101∼≮⫘↔100001110000⊭∹↮))","cot":[{"info":"≮⫘↔10100111001⪠⩆⊳=≮⫘↔0","layer":3},{"info":"≮⫘↔1101111011011⋥≓≎≮⫘↔1000011000101=≮⫘↔10111010000","layer":3},{"info":"≮⫘↔0⊭↱≮⫘↔10111010000=≮⫘↔101110100101","layer":2},{"info":"≮⫘↔10110110001⋓≮⫘↔100011100000=≮⫘↔0","layer":3},{"info":"≮⫘↔10011100000⋥≓≎≮⫘↔100100011011=≮⫘↔110101110111","layer":3},{"info":"≮⫘↔0⨰≮⫘↔110101110111=≮⫘↔-110101101101","layer":2},{"info":"≮⫘↔101110100101⋓≮⫘↔-110101101101=≮⫘↔0","layer":1},{"info":"≮⫘↔1000011010101⫥∨⫟≮⫘↔10010111111=NaN","layer":3},{"info":"⋗⩬⋾≮⫘↔111010100010=≮⫘↔-10101111100110","layer":3},{"info":"NaN⨳⩥⨓≮⫘↔-10101111100110=NaN","layer":2},{"info":"≮⫘↔1000010001101∼≮⫘↔100001110000=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"≮⫘↔0∀⇚≩NaN=NaN","layer":0}]}
{"id":359,"expression_no_base_symbol":"(((⪲⇎$6419$)≋⫹)+(-(↽≂$2886$)))⋫","expression":"(((⪲⇎≮⫘↔1100100010011)≋⫹)+(-(↽≂≮⫘↔101101000110)))⋫","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":19914,"operation_count":6,"complexity_ratio":3319.0,"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":6419,"base":2}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2886,"base":2}}}}},"used_operators":["JL8yIekQnl","W4YGzv6Whe","N41Kp7NANJ","XPYlsWDdGa","t8gj7n24qd","u6S6b8DprG"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-100110111000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6419","layer":4},{"info":"compute unary expreesion, input=6419, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=12838","layer":3},{"info":"compute unary expreesion, input=12838, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-25676","layer":2},{"info":"number node, value=2886","layer":4},{"info":"compute unary expreesion, input=2886, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5772","layer":3},{"info":"compute unary expreesion, input=-5772, op_id = t8gj7n24qd, unary_op_definition = 'None', output=5772","layer":2},{"info":"compute binary expreesion, left_input=-25676, right_input=5772, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-19904","layer":1},{"info":"compute unary expreesion, input=-19904, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-19904","layer":0}],"base":2,"result_base":2,"text":"(((⪲⇎≮⫘↔1100100010011)≋⫹)+(-(↽≂≮⫘↔101101000110)))⋫=≮⫘↔-100110111000000","reverse_text":"≮⫘↔-100110111000000=(((⪲⇎≮⫘↔1100100010011)≋⫹)+(-(↽≂≮⫘↔101101000110)))⋫","cot":[{"info":"⪲⇎≮⫘↔1100100010011=≮⫘↔11001000100110","layer":3},{"info":"≮⫘↔11001000100110≋⫹=≮⫘↔-110010001001100","layer":2},{"info":"↽≂≮⫘↔101101000110=≮⫘↔-1011010001100","layer":3},{"info":"-≮⫘↔-1011010001100=≮⫘↔1011010001100","layer":2},{"info":"≮⫘↔-110010001001100+≮⫘↔1011010001100=≮⫘↔-100110111000000","layer":1},{"info":"≮⫘↔-100110111000000⋫=≮⫘↔-100110111000000","layer":0}]}
{"id":360,"expression_no_base_symbol":"((⋗⩬⋾$4446$)⋥≓≎($1407$∸))⨰($4053$∼$4780$%(∂$6499$))⨐⩸⫘($1949$⨪↰⇹$1499$⨸⪁$3133$⋝⋈⪟$3877$*($2439$+⇶⊼$1011$∲⫓$1474$⪢$3175$))","expression":"((⋗⩬⋾≮⫘↔1000101011110)⋥≓≎(≮⫘↔10101111111∸))⨰(≮⫘↔111111010101∼≮⫘↔1001010101100%(∂≮⫘↔1100101100011))⨐⩸⫘(≮⫘↔11110011101⨪↰⇹≮⫘↔10111011011⨸⪁≮⫘↔110000111101⋝⋈⪟≮⫘↔111100100101*(≮⫘↔100110000111+⇶⊼≮⫘↔1111110011∲⫓≮⫘↔10111000010⪢≮⫘↔110001100111))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5406,"operation_count":15,"complexity_ratio":360.4,"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":4446,"base":2}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1407,"base":2}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4053,"base":2},"right_expr":{"type":"numeric_atoms","value":4780,"base":2}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":6499,"base":2}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1949,"base":2},"right_expr":{"type":"numeric_atoms","value":1499,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3133,"base":2},"right_expr":{"type":"numeric_atoms","value":3877,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2439,"base":2},"right_expr":{"type":"numeric_atoms","value":1011,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1474,"base":2},"right_expr":{"type":"numeric_atoms","value":3175,"base":2}}}}},"used_operators":["fu6greOZ01","eewbuw0ToL","Qy55tPpLXF","DpFCA1CohY","o20kRiQErp","k8jYdgA6NY","DyGG3AbaNP","Uaa54Peajs","9HNa5Wba9A","g55IO6H4Gj","tmPS8pqC7x","2DDjHMKMc0","i8ToyICDmI","TpPTUOHfaN","dWAJyo7jo9"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","W4YGzv6Whe","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4446","layer":4},{"info":"compute unary expreesion, input=4446, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-13338","layer":3},{"info":"number node, value=1407","layer":4},{"info":"compute unary expreesion, input=1407, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-13338, right_input=177, 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=4053","layer":4},{"info":"number node, value=4780","layer":4},{"info":"compute binary expreesion, left_input=4053, right_input=4780, 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=6499","layer":4},{"info":"compute unary expreesion, input=6499, 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=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=1949","layer":4},{"info":"number node, value=1499","layer":4},{"info":"compute binary expreesion, left_input=1949, right_input=1499, 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=1949","layer":3},{"info":"number node, value=3133","layer":4},{"info":"number node, value=3877","layer":4},{"info":"compute binary expreesion, left_input=3133, right_input=3877, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3133","layer":3},{"info":"compute binary expreesion, left_input=1949, right_input=3133, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10164","layer":2},{"info":"number node, value=2439","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=2439, right_input=1011, 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=1474","layer":4},{"info":"number node, value=3175","layer":4},{"info":"compute binary expreesion, left_input=1474, right_input=3175, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10164, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⋗⩬⋾≮⫘↔1000101011110)⋥≓≎(≮⫘↔10101111111∸))⨰(≮⫘↔111111010101∼≮⫘↔1001010101100%(∂≮⫘↔1100101100011))⨐⩸⫘(≮⫘↔11110011101⨪↰⇹≮⫘↔10111011011⨸⪁≮⫘↔110000111101⋝⋈⪟≮⫘↔111100100101*(≮⫘↔100110000111+⇶⊼≮⫘↔1111110011∲⫓≮⫘↔10111000010⪢≮⫘↔110001100111))=NaN","reverse_text":"NaN=((⋗⩬⋾≮⫘↔1000101011110)⋥≓≎(≮⫘↔10101111111∸))⨰(≮⫘↔111111010101∼≮⫘↔1001010101100%(∂≮⫘↔1100101100011))⨐⩸⫘(≮⫘↔11110011101⨪↰⇹≮⫘↔10111011011⨸⪁≮⫘↔110000111101⋝⋈⪟≮⫘↔111100100101*(≮⫘↔100110000111+⇶⊼≮⫘↔1111110011∲⫓≮⫘↔10111000010⪢≮⫘↔110001100111))","cot":[{"info":"⋗⩬⋾≮⫘↔1000101011110=≮⫘↔-11010000011010","layer":3},{"info":"≮⫘↔10101111111∸=≮⫘↔10110001","layer":3},{"info":"≮⫘↔-11010000011010⋥≓≎≮⫘↔10110001=≮⫘↔1000011","layer":2},{"info":"≮⫘↔111111010101∼≮⫘↔1001010101100=NaN","layer":3},{"info":"∂≮⫘↔1100101100011=NaN","layer":3},{"info":"NaN%NaN=NaN","layer":2},{"info":"≮⫘↔1000011⨰NaN=NaN","layer":1},{"info":"≮⫘↔11110011101⨪↰⇹≮⫘↔10111011011=≮⫘↔11110011101","layer":3},{"info":"≮⫘↔110000111101⋝⋈⪟≮⫘↔111100100101=≮⫘↔110000111101","layer":3},{"info":"≮⫘↔11110011101⨸⪁≮⫘↔110000111101=≮⫘↔10011110110100","layer":2},{"info":"≮⫘↔100110000111+⇶⊼≮⫘↔1111110011=NaN","layer":3},{"info":"≮⫘↔10111000010⪢≮⫘↔110001100111=NaN","layer":3},{"info":"NaN∲⫓NaN=NaN","layer":2},{"info":"≮⫘↔10011110110100*NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":361,"expression_no_base_symbol":"(⋗⩬⋾((≉$3361$)⩨$1874$⨟⋌⩍$1372$))⨁⊸⫻","expression":"(⋗⩬⋾((≉≮⫘↔110100100001)⩨≮⫘↔11101010010⨟⋌⩍≮⫘↔10101011100))⨁⊸⫻","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":11,"operation_count":5,"complexity_ratio":2.2,"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":3361,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1874,"base":2},"right_expr":{"type":"numeric_atoms","value":1372,"base":2}}}}},"used_operators":["glklzrTFfD","DpFCA1CohY","2DlMacCsIx","e1ybzncUwg","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=3361","layer":4},{"info":"compute unary expreesion, input=3361, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3892","layer":3},{"info":"number node, value=1874","layer":4},{"info":"number node, value=1372","layer":4},{"info":"compute binary expreesion, left_input=1874, right_input=1372, 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=3892, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⋗⩬⋾((≉≮⫘↔110100100001)⩨≮⫘↔11101010010⨟⋌⩍≮⫘↔10101011100))⨁⊸⫻=NaN","reverse_text":"NaN=(⋗⩬⋾((≉≮⫘↔110100100001)⩨≮⫘↔11101010010⨟⋌⩍≮⫘↔10101011100))⨁⊸⫻","cot":[{"info":"≉≮⫘↔110100100001=≮⫘↔111100110100","layer":3},{"info":"≮⫘↔11101010010⨟⋌⩍≮⫘↔10101011100=NaN","layer":3},{"info":"≮⫘↔111100110100⩨NaN=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":362,"expression_no_base_symbol":"((↽≂$1960$)+⇶⊼$2104$⪮%⊝$4460$)⨓($1549$+⇶⊼$2361$)⪘⫢($1694$*$5626$)≭(∥⊫(⫛⫱⨽($1875$∀⇚≩$3307$)))","expression":"((↽≂≮⫘↔11110101000)+⇶⊼≮⫘↔100000111000⪮%⊝≮⫘↔1000101101100)⨓(≮⫘↔11000001101+⇶⊼≮⫘↔100100111001)⪘⫢(≮⫘↔11010011110*≮⫘↔1010111111010)≭(∥⊫(⫛⫱⨽(≮⫘↔11101010011∀⇚≩≮⫘↔110011101011)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15765,"operation_count":11,"complexity_ratio":1433.1818181818182,"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":1960,"base":2}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2104,"base":2},"right_expr":{"type":"numeric_atoms","value":4460,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1549,"base":2},"right_expr":{"type":"numeric_atoms","value":2361,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1694,"base":2},"right_expr":{"type":"numeric_atoms","value":5626,"base":2}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1875,"base":2},"right_expr":{"type":"numeric_atoms","value":3307,"base":2}}}}},"used_operators":["rxpJgHHUmx","3ViojmjbAp","TpPTUOHfaN","u6S6b8DprG","IWmyXbctLI","oacrs7FA3X","9HNa5Wba9A","P8v4zCKN1o","DlLNRPXxWL","LRNGc0VcxI"],"dependent_operators":["AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1960","layer":4},{"info":"compute unary expreesion, input=1960, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3920","layer":3},{"info":"number node, value=2104","layer":4},{"info":"number node, value=4460","layer":4},{"info":"compute binary expreesion, left_input=2104, right_input=4460, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4524","layer":3},{"info":"compute binary expreesion, left_input=-3920, right_input=4524, 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=1549","layer":4},{"info":"number node, value=2361","layer":4},{"info":"compute binary expreesion, left_input=1549, 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":"number node, value=1694","layer":4},{"info":"number node, value=5626","layer":4},{"info":"compute binary expreesion, left_input=1694, right_input=5626, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9530444","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9530444, 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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=1875","layer":4},{"info":"number node, value=3307","layer":4},{"info":"compute binary expreesion, left_input=1875, right_input=3307, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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 binary expreesion, left_input=nan, 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":0}],"base":2,"result_base":2,"text":"((↽≂≮⫘↔11110101000)+⇶⊼≮⫘↔100000111000⪮%⊝≮⫘↔1000101101100)⨓(≮⫘↔11000001101+⇶⊼≮⫘↔100100111001)⪘⫢(≮⫘↔11010011110*≮⫘↔1010111111010)≭(∥⊫(⫛⫱⨽(≮⫘↔11101010011∀⇚≩≮⫘↔110011101011)))=NaN","reverse_text":"NaN=((↽≂≮⫘↔11110101000)+⇶⊼≮⫘↔100000111000⪮%⊝≮⫘↔1000101101100)⨓(≮⫘↔11000001101+⇶⊼≮⫘↔100100111001)⪘⫢(≮⫘↔11010011110*≮⫘↔1010111111010)≭(∥⊫(⫛⫱⨽(≮⫘↔11101010011∀⇚≩≮⫘↔110011101011)))","cot":[{"info":"↽≂≮⫘↔11110101000=≮⫘↔-111101010000","layer":3},{"info":"≮⫘↔100000111000⪮%⊝≮⫘↔1000101101100=≮⫘↔1000110101100","layer":3},{"info":"≮⫘↔-111101010000+⇶⊼≮⫘↔1000110101100=NaN","layer":2},{"info":"≮⫘↔11000001101+⇶⊼≮⫘↔100100111001=NaN","layer":3},{"info":"≮⫘↔11010011110*≮⫘↔1010111111010=≮⫘↔100100010110110001001100","layer":3},{"info":"NaN⪘⫢≮⫘↔100100010110110001001100=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"≮⫘↔11101010011∀⇚≩≮⫘↔110011101011=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":363,"expression_no_base_symbol":"($1319$⨓$1551$⨵⪆$2043$∑⇟⊟$2856$)⪘⫢(($2084$⨵⪆$7540$)⨰($1806$↺$2936$))⩨((↣≠⋷$2510$)⋷$1192$↬$5775$)⩚⊴⇥((↯⪼$6749$)%(⫓⪴$3211$))","expression":"(≮⫘↔10100100111⨓≮⫘↔11000001111⨵⪆≮⫘↔11111111011∑⇟⊟≮⫘↔101100101000)⪘⫢((≮⫘↔100000100100⨵⪆≮⫘↔1110101110100)⨰(≮⫘↔11100001110↺≮⫘↔101101111000))⩨((↣≠⋷≮⫘↔100111001110)⋷≮⫘↔10010101000↬≮⫘↔1011010001111)⩚⊴⇥((↯⪼≮⫘↔1101001011101)%(⫓⪴≮⫘↔110010001011))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4833,"operation_count":15,"complexity_ratio":322.2,"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":1319,"base":2},"right_expr":{"type":"numeric_atoms","value":1551,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2043,"base":2},"right_expr":{"type":"numeric_atoms","value":2856,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2084,"base":2},"right_expr":{"type":"numeric_atoms","value":7540,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1806,"base":2},"right_expr":{"type":"numeric_atoms","value":2936,"base":2}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2510,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1192,"base":2},"right_expr":{"type":"numeric_atoms","value":5775,"base":2}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":6749,"base":2}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3211,"base":2}}}}},"used_operators":["2DlMacCsIx","oacrs7FA3X","2DQ55sFlQl","3ViojmjbAp","U7g4x0WXJJ","eewbuw0ToL","7j4O788W3g","NTOWxs364D","23Mk6UjR3U","Asc51vEJeQ","B5M0gjZbta","k8jYdgA6NY","8jW3W4yZS5","eLxqMNBOBk"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1319","layer":4},{"info":"number node, value=1551","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=1551, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1554","layer":3},{"info":"number node, value=2043","layer":4},{"info":"number node, value=2856","layer":4},{"info":"compute binary expreesion, left_input=2043, right_input=2856, 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=-1554, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2084","layer":4},{"info":"number node, value=7540","layer":4},{"info":"compute binary expreesion, left_input=2084, right_input=7540, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1806","layer":4},{"info":"number node, value=2936","layer":4},{"info":"compute binary expreesion, left_input=1806, right_input=2936, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2936","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2936, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2766","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-2766, 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=2510","layer":4},{"info":"compute unary expreesion, input=2510, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1192","layer":4},{"info":"number node, value=5775","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=5775, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=6749","layer":4},{"info":"compute unary expreesion, input=6749, 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=3211","layer":4},{"info":"compute unary expreesion, input=3211, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=10310521","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=10310521, op_id = k8jYdgA6NY binary_op_definition= 'None', output=10310500","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10310500, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10100100111⨓≮⫘↔11000001111⨵⪆≮⫘↔11111111011∑⇟⊟≮⫘↔101100101000)⪘⫢((≮⫘↔100000100100⨵⪆≮⫘↔1110101110100)⨰(≮⫘↔11100001110↺≮⫘↔101101111000))⩨((↣≠⋷≮⫘↔100111001110)⋷≮⫘↔10010101000↬≮⫘↔1011010001111)⩚⊴⇥((↯⪼≮⫘↔1101001011101)%(⫓⪴≮⫘↔110010001011))=NaN","reverse_text":"NaN=(≮⫘↔10100100111⨓≮⫘↔11000001111⨵⪆≮⫘↔11111111011∑⇟⊟≮⫘↔101100101000)⪘⫢((≮⫘↔100000100100⨵⪆≮⫘↔1110101110100)⨰(≮⫘↔11100001110↺≮⫘↔101101111000))⩨((↣≠⋷≮⫘↔100111001110)⋷≮⫘↔10010101000↬≮⫘↔1011010001111)⩚⊴⇥((↯⪼≮⫘↔1101001011101)%(⫓⪴≮⫘↔110010001011))","cot":[{"info":"≮⫘↔10100100111⨓≮⫘↔11000001111=≮⫘↔-11000010010","layer":3},{"info":"≮⫘↔11111111011∑⇟⊟≮⫘↔101100101000=NaN","layer":3},{"info":"≮⫘↔-11000010010⨵⪆NaN=≮⫘↔10100000","layer":2},{"info":"≮⫘↔100000100100⨵⪆≮⫘↔1110101110100=≮⫘↔10100000","layer":3},{"info":"≮⫘↔11100001110↺≮⫘↔101101111000=≮⫘↔101101111000","layer":3},{"info":"≮⫘↔10100000⨰≮⫘↔101101111000=≮⫘↔-101011001110","layer":2},{"info":"≮⫘↔10100000⪘⫢≮⫘↔-101011001110=≮⫘↔-1","layer":1},{"info":"↣≠⋷≮⫘↔100111001110=NaN","layer":3},{"info":"≮⫘↔10010101000↬≮⫘↔1011010001111=NaN","layer":3},{"info":"NaN⋷NaN=NaN","layer":2},{"info":"↯⪼≮⫘↔1101001011101=≮⫘↔-10101","layer":3},{"info":"⫓⪴≮⫘↔110010001011=≮⫘↔100111010101001101111001","layer":3},{"info":"≮⫘↔-10101%≮⫘↔100111010101001101111001=≮⫘↔100111010101001101100100","layer":2},{"info":"NaN⩚⊴⇥≮⫘↔100111010101001101100100=NaN","layer":1},{"info":"≮⫘↔-1⩨NaN=NaN","layer":0}]}
{"id":364,"expression_no_base_symbol":"≦∁(⩦⩻⨪($1071$+$1159$))≧⫂∧($1262$⩨$3132$)≹⇙⪍(↯⪼$4022$)","expression":"≦∁(⩦⩻⨪(≮⫘↔10000101111+≮⫘↔10010000111))≧⫂∧(≮⫘↔10011101110⩨≮⫘↔110000111100)≹⇙⪍(↯⪼≮⫘↔111110110110)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":483,"operation_count":7,"complexity_ratio":69.0,"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":1071,"base":2},"right_expr":{"type":"numeric_atoms","value":1159,"base":2}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1262,"base":2},"right_expr":{"type":"numeric_atoms","value":3132,"base":2}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4022,"base":2}}}}},"used_operators":["9ICcGScMcE","Ph9nP6C5qx","2td37pGCOC","W4YGzv6Whe","AHs5Up7iyr","2DlMacCsIx","8jW3W4yZS5"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1071","layer":4},{"info":"number node, value=1159","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=1159, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2230","layer":3},{"info":"compute unary expreesion, input=2230, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2230","layer":2},{"info":"number node, value=1262","layer":4},{"info":"number node, value=3132","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=3132, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=4022","layer":4},{"info":"compute unary expreesion, input=4022, 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=-6, right_input=-21, 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=2230, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"≦∁(⩦⩻⨪(≮⫘↔10000101111+≮⫘↔10010000111))≧⫂∧(≮⫘↔10011101110⩨≮⫘↔110000111100)≹⇙⪍(↯⪼≮⫘↔111110110110)=NaN","reverse_text":"NaN=≦∁(⩦⩻⨪(≮⫘↔10000101111+≮⫘↔10010000111))≧⫂∧(≮⫘↔10011101110⩨≮⫘↔110000111100)≹⇙⪍(↯⪼≮⫘↔111110110110)","cot":[{"info":"≮⫘↔10000101111+≮⫘↔10010000111=≮⫘↔100010110110","layer":3},{"info":"⩦⩻⨪≮⫘↔100010110110=≮⫘↔100010110110","layer":2},{"info":"≮⫘↔10011101110⩨≮⫘↔110000111100=≮⫘↔-110","layer":3},{"info":"↯⪼≮⫘↔111110110110=≮⫘↔-10101","layer":3},{"info":"≮⫘↔-110≹⇙⪍≮⫘↔-10101=NaN","layer":2},{"info":"≮⫘↔100010110110≧⫂∧NaN=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":365,"expression_no_base_symbol":"(≤/((⇁⨣⪵$7347$)⨸⪁($1959$⋷$3366$)))≭($6709$↙$2763$)⪢($3835$≧⫂∧$2420$)⋓(($2127$%$1483$)≧⫂∧($1000$⫥∨⫟$1715$))","expression":"(≤/((⇁⨣⪵≮⫘↔1110010110011)⨸⪁(≮⫘↔11110100111⋷≮⫘↔110100100110)))≭(≮⫘↔1101000110101↙≮⫘↔101011001011)⪢(≮⫘↔111011111011≧⫂∧≮⫘↔100101110100)⋓((≮⫘↔100001001111%≮⫘↔10111001011)≧⫂∧(≮⫘↔1111101000⫥∨⫟≮⫘↔11010110011))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5489,"operation_count":12,"complexity_ratio":457.4166666666667,"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":7347,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1959,"base":2},"right_expr":{"type":"numeric_atoms","value":3366,"base":2}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6709,"base":2},"right_expr":{"type":"numeric_atoms","value":2763,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3835,"base":2},"right_expr":{"type":"numeric_atoms","value":2420,"base":2}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2127,"base":2},"right_expr":{"type":"numeric_atoms","value":1483,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1000,"base":2},"right_expr":{"type":"numeric_atoms","value":1715,"base":2}}}}},"used_operators":["rxpJgHHUmx","eLAdDNolq6","g55IO6H4Gj","inkyxCbjAn","23Mk6UjR3U","T2fj7uvVaJ","dWAJyo7jo9","yyfyN0ffXY","Ph9nP6C5qx","k8jYdgA6NY","KYD54nUTWz"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7347","layer":4},{"info":"compute unary expreesion, input=7347, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1959","layer":4},{"info":"number node, value=3366","layer":4},{"info":"compute binary expreesion, left_input=1959, right_input=3366, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4773","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4773, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"number node, value=6709","layer":4},{"info":"number node, value=2763","layer":4},{"info":"compute binary expreesion, left_input=6709, right_input=2763, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8289","layer":3},{"info":"number node, value=3835","layer":4},{"info":"number node, value=2420","layer":4},{"info":"compute binary expreesion, left_input=3835, right_input=2420, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1947","layer":3},{"info":"compute binary expreesion, left_input=-8289, right_input=1947, 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=2127","layer":4},{"info":"number node, value=1483","layer":4},{"info":"compute binary expreesion, left_input=2127, right_input=1483, op_id = k8jYdgA6NY binary_op_definition= 'None', output=644","layer":3},{"info":"number node, value=1000","layer":4},{"info":"number node, value=1715","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1715, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=644, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":1},{"info":"compute binary expreesion, left_input=nan, 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":0}],"base":2,"result_base":2,"text":"(≤/((⇁⨣⪵≮⫘↔1110010110011)⨸⪁(≮⫘↔11110100111⋷≮⫘↔110100100110)))≭(≮⫘↔1101000110101↙≮⫘↔101011001011)⪢(≮⫘↔111011111011≧⫂∧≮⫘↔100101110100)⋓((≮⫘↔100001001111%≮⫘↔10111001011)≧⫂∧(≮⫘↔1111101000⫥∨⫟≮⫘↔11010110011))=NaN","reverse_text":"NaN=(≤/((⇁⨣⪵≮⫘↔1110010110011)⨸⪁(≮⫘↔11110100111⋷≮⫘↔110100100110)))≭(≮⫘↔1101000110101↙≮⫘↔101011001011)⪢(≮⫘↔111011111011≧⫂∧≮⫘↔100101110100)⋓((≮⫘↔100001001111%≮⫘↔10111001011)≧⫂∧(≮⫘↔1111101000⫥∨⫟≮⫘↔11010110011))","cot":[{"info":"⇁⨣⪵≮⫘↔1110010110011=NaN","layer":3},{"info":"≮⫘↔11110100111⋷≮⫘↔110100100110=≮⫘↔1001010100101","layer":3},{"info":"NaN⨸⪁≮⫘↔1001010100101=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"≮⫘↔1101000110101↙≮⫘↔101011001011=≮⫘↔-10000001100001","layer":3},{"info":"≮⫘↔111011111011≧⫂∧≮⫘↔100101110100=≮⫘↔11110011011","layer":3},{"info":"≮⫘↔-10000001100001⪢≮⫘↔11110011011=NaN","layer":2},{"info":"≮⫘↔100001001111%≮⫘↔10111001011=≮⫘↔1010000100","layer":3},{"info":"≮⫘↔1111101000⫥∨⫟≮⫘↔11010110011=NaN","layer":3},{"info":"≮⫘↔1010000100≧⫂∧NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":366,"expression_no_base_symbol":"((⫛⫱⨽($5720$⨸⪁$3295$))⊉≛↸(($5564$⊦⊿)⊠≄⫣))⩚⊴⇥((⪝⪂⫅($7092$⊉≛↸$2768$))⊦⊿)","expression":"((⫛⫱⨽(≮⫘↔1011001011000⨸⪁≮⫘↔110011011111))⊉≛↸((≮⫘↔1010110111100⊦⊿)⊠≄⫣))⩚⊴⇥((⪝⪂⫅(≮⫘↔1101110110100⊉≛↸≮⫘↔101011010000))⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1597,"operation_count":9,"complexity_ratio":177.44444444444446,"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":5720,"base":2},"right_expr":{"type":"numeric_atoms","value":3295,"base":2}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":5564,"base":2}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":7092,"base":2},"right_expr":{"type":"numeric_atoms","value":2768,"base":2}}}}},"used_operators":["NTOWxs364D","DZ8iAZOCBD","DlLNRPXxWL","g55IO6H4Gj","DIvbN7qnHd","14qkJME0vr","XTarYq4gQB"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"≮⫘↔-10111110111001001010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5720","layer":4},{"info":"number node, value=3295","layer":4},{"info":"compute binary expreesion, left_input=5720, right_input=3295, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18030","layer":3},{"info":"compute unary expreesion, input=18030, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=5564","layer":4},{"info":"compute unary expreesion, input=5564, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-16771","layer":3},{"info":"compute unary expreesion, input=-16771, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":1},{"info":"number node, value=7092","layer":4},{"info":"number node, value=2768","layer":4},{"info":"compute binary expreesion, left_input=7092, right_input=2768, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=14184","layer":3},{"info":"compute unary expreesion, input=14184, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-2085048","layer":2},{"info":"compute unary expreesion, input=-2085048, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=6255065","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=6255065, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6255186","layer":0}],"base":2,"result_base":2,"text":"((⫛⫱⨽(≮⫘↔1011001011000⨸⪁≮⫘↔110011011111))⊉≛↸((≮⫘↔1010110111100⊦⊿)⊠≄⫣))⩚⊴⇥((⪝⪂⫅(≮⫘↔1101110110100⊉≛↸≮⫘↔101011010000))⊦⊿)=≮⫘↔-10111110111001001010010","reverse_text":"≮⫘↔-10111110111001001010010=((⫛⫱⨽(≮⫘↔1011001011000⨸⪁≮⫘↔110011011111))⊉≛↸((≮⫘↔1010110111100⊦⊿)⊠≄⫣))⩚⊴⇥((⪝⪂⫅(≮⫘↔1101110110100⊉≛↸≮⫘↔101011010000))⊦⊿)","cot":[{"info":"≮⫘↔1011001011000⨸⪁≮⫘↔110011011111=≮⫘↔100011001101110","layer":3},{"info":"⫛⫱⨽≮⫘↔100011001101110=≮⫘↔0","layer":2},{"info":"≮⫘↔1010110111100⊦⊿=≮⫘↔-100000110000011","layer":3},{"info":"≮⫘↔-100000110000011⊠≄⫣=≮⫘↔0","layer":2},{"info":"≮⫘↔0⊉≛↸≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔1101110110100⊉≛↸≮⫘↔101011010000=≮⫘↔11011101101000","layer":3},{"info":"⪝⪂⫅≮⫘↔11011101101000=≮⫘↔-111111101000010111000","layer":2},{"info":"≮⫘↔-111111101000010111000⊦⊿=≮⫘↔10111110111000111011001","layer":1},{"info":"≮⫘↔0⩚⊴⇥≮⫘↔10111110111000111011001=≮⫘↔-10111110111001001010010","layer":0}]}
{"id":367,"expression_no_base_symbol":"((↯⪼$2191$)↺$7459$⪮%⊝$2099$)⨐⩸⫘$1001$⨰$1224$≎⊠⪸($7084$⊪)⨵⪆(-(⋗⩬⋾$4405$)⩚⊴⇥($8307$⨳⩥⨓$4555$))","expression":"((↯⪼≮⫘↔100010001111)↺≮⫘↔1110100100011⪮%⊝≮⫘↔100000110011)⨐⩸⫘≮⫘↔1111101001⨰≮⫘↔10011001000≎⊠⪸(≮⫘↔1101110101100⊪)⨵⪆(-(⋗⩬⋾≮⫘↔1000100110101)⩚⊴⇥(≮⫘↔10000001110011⨳⩥⨓≮⫘↔1000111001011))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":318,"operation_count":12,"complexity_ratio":26.5,"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":2191,"base":2}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7459,"base":2},"right_expr":{"type":"numeric_atoms","value":2099,"base":2}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1001,"base":2},"right_expr":{"type":"numeric_atoms","value":1224,"base":2}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":7084,"base":2}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4405,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":8307,"base":2},"right_expr":{"type":"numeric_atoms","value":4555,"base":2}}}}},"used_operators":["2DQ55sFlQl","fu6greOZ01","7j4O788W3g","8jW3W4yZS5","IWmyXbctLI","bJkvcejdHO","eewbuw0ToL","zVYPLywUTj","t8gj7n24qd","NTOWxs364D","DpFCA1CohY","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2191","layer":4},{"info":"compute unary expreesion, input=2191, 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=7459","layer":4},{"info":"number node, value=2099","layer":4},{"info":"compute binary expreesion, left_input=7459, right_input=2099, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=15234","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=15234, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=15234","layer":2},{"info":"number node, value=1001","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=1224, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-213","layer":3},{"info":"number node, value=7084","layer":4},{"info":"compute unary expreesion, input=7084, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-213, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=55167","layer":2},{"info":"compute binary expreesion, left_input=15234, right_input=55167, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=4405","layer":4},{"info":"compute unary expreesion, input=4405, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-13215","layer":3},{"info":"number node, value=8307","layer":4},{"info":"number node, value=4555","layer":4},{"info":"compute binary expreesion, left_input=8307, right_input=4555, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3752","layer":3},{"info":"compute binary expreesion, left_input=-13215, right_input=-3752, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=16846","layer":2},{"info":"compute unary expreesion, input=16846, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-16846","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-16846, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"((↯⪼≮⫘↔100010001111)↺≮⫘↔1110100100011⪮%⊝≮⫘↔100000110011)⨐⩸⫘≮⫘↔1111101001⨰≮⫘↔10011001000≎⊠⪸(≮⫘↔1101110101100⊪)⨵⪆(-(⋗⩬⋾≮⫘↔1000100110101)⩚⊴⇥(≮⫘↔10000001110011⨳⩥⨓≮⫘↔1000111001011))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=((↯⪼≮⫘↔100010001111)↺≮⫘↔1110100100011⪮%⊝≮⫘↔100000110011)⨐⩸⫘≮⫘↔1111101001⨰≮⫘↔10011001000≎⊠⪸(≮⫘↔1101110101100⊪)⨵⪆(-(⋗⩬⋾≮⫘↔1000100110101)⩚⊴⇥(≮⫘↔10000001110011⨳⩥⨓≮⫘↔1000111001011))","cot":[{"info":"↯⪼≮⫘↔100010001111=≮⫘↔-10101","layer":3},{"info":"≮⫘↔1110100100011⪮%⊝≮⫘↔100000110011=≮⫘↔11101110000010","layer":3},{"info":"≮⫘↔-10101↺≮⫘↔11101110000010=≮⫘↔11101110000010","layer":2},{"info":"≮⫘↔1111101001⨰≮⫘↔10011001000=≮⫘↔-11010101","layer":3},{"info":"≮⫘↔1101110101100⊪=≮⫘↔0","layer":3},{"info":"≮⫘↔-11010101≎⊠⪸≮⫘↔0=≮⫘↔1101011101111111","layer":2},{"info":"≮⫘↔11101110000010⨐⩸⫘≮⫘↔1101011101111111=NaN","layer":1},{"info":"⋗⩬⋾≮⫘↔1000100110101=≮⫘↔-11001110011111","layer":3},{"info":"≮⫘↔10000001110011⨳⩥⨓≮⫘↔1000111001011=≮⫘↔-111010101000","layer":3},{"info":"≮⫘↔-11001110011111⩚⊴⇥≮⫘↔-111010101000=≮⫘↔100000111001110","layer":2},{"info":"-≮⫘↔100000111001110=≮⫘↔-100000111001110","layer":1},{"info":"NaN⨵⪆≮⫘↔-100000111001110=≮⫘↔10100000","layer":0}]}
{"id":368,"expression_no_base_symbol":"(⋗⩬⋾(↯⪼$1337$)⩷∴$1400$⪢$2010$)⊪","expression":"(⋗⩬⋾(↯⪼≮⫘↔10100111001)⩷∴≮⫘↔10101111000⪢≮⫘↔11111011010)⊪","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2063,"operation_count":5,"complexity_ratio":412.6,"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":1337,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1400,"base":2},"right_expr":{"type":"numeric_atoms","value":2010,"base":2}}}}},"used_operators":["zVYPLywUTj","DpFCA1CohY","9FxExcQeMw","8jW3W4yZS5","dWAJyo7jo9"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1337","layer":4},{"info":"compute unary expreesion, input=1337, 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=1400","layer":4},{"info":"number node, value=2010","layer":4},{"info":"compute binary expreesion, left_input=1400, right_input=2010, 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=-21, right_input=nan, 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 = 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 = 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=nan","layer":0}],"base":2,"result_base":2,"text":"(⋗⩬⋾(↯⪼≮⫘↔10100111001)⩷∴≮⫘↔10101111000⪢≮⫘↔11111011010)⊪=NaN","reverse_text":"NaN=(⋗⩬⋾(↯⪼≮⫘↔10100111001)⩷∴≮⫘↔10101111000⪢≮⫘↔11111011010)⊪","cot":[{"info":"↯⪼≮⫘↔10100111001=≮⫘↔-10101","layer":3},{"info":"≮⫘↔10101111000⪢≮⫘↔11111011010=NaN","layer":3},{"info":"≮⫘↔-10101⩷∴NaN=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"NaN⊪=NaN","layer":0}]}
{"id":369,"expression_no_base_symbol":"($2183$↬$2420$⫥∨⫟(≤/$1654$)⨵⪆($6493$⨪↰⇹$3393$)∼($2248$⫌⩹⨱))⩚⊴⇥(⪲⇎((↯⪼$1307$)%$1559$⨸⪁$5814$))","expression":"(≮⫘↔100010000111↬≮⫘↔100101110100⫥∨⫟(≤/≮⫘↔11001110110)⨵⪆(≮⫘↔1100101011101⨪↰⇹≮⫘↔110101000001)∼(≮⫘↔100011001000⫌⩹⨱))⩚⊴⇥(⪲⇎((↯⪼≮⫘↔10100011011)%≮⫘↔11000010111⨸⪁≮⫘↔1011010110110))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6826,"operation_count":12,"complexity_ratio":568.8333333333334,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2183,"base":2},"right_expr":{"type":"numeric_atoms","value":2420,"base":2}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1654,"base":2}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6493,"base":2},"right_expr":{"type":"numeric_atoms","value":3393,"base":2}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2248,"base":2}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1307,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1559,"base":2},"right_expr":{"type":"numeric_atoms","value":5814,"base":2}}}}},"used_operators":["NTOWxs364D","2DQ55sFlQl","KYD54nUTWz","B5M0gjZbta","eLAdDNolq6","DyGG3AbaNP","tmPS8pqC7x","EBcxylXtPf","XPYlsWDdGa","k8jYdgA6NY","8jW3W4yZS5","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe"],"result":"≮⫘↔-111010000100011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2183","layer":4},{"info":"number node, value=2420","layer":4},{"info":"compute binary expreesion, left_input=2183, right_input=2420, 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=1654","layer":4},{"info":"compute unary expreesion, input=1654, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1170","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1170, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=6493","layer":4},{"info":"number node, value=3393","layer":4},{"info":"compute binary expreesion, left_input=6493, right_input=3393, 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=6493","layer":3},{"info":"number node, value=2248","layer":4},{"info":"compute unary expreesion, input=2248, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=5897","layer":3},{"info":"compute binary expreesion, left_input=6493, right_input=5897, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1307","layer":4},{"info":"compute unary expreesion, input=1307, 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=1559","layer":4},{"info":"number node, value=5814","layer":4},{"info":"compute binary expreesion, left_input=1559, right_input=5814, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14746","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=14746, op_id = k8jYdgA6NY binary_op_definition= 'None', output=14725","layer":2},{"info":"compute unary expreesion, input=14725, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=29450","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=29450, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-29731","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100010000111↬≮⫘↔100101110100⫥∨⫟(≤/≮⫘↔11001110110)⨵⪆(≮⫘↔1100101011101⨪↰⇹≮⫘↔110101000001)∼(≮⫘↔100011001000⫌⩹⨱))⩚⊴⇥(⪲⇎((↯⪼≮⫘↔10100011011)%≮⫘↔11000010111⨸⪁≮⫘↔1011010110110))=≮⫘↔-111010000100011","reverse_text":"≮⫘↔-111010000100011=(≮⫘↔100010000111↬≮⫘↔100101110100⫥∨⫟(≤/≮⫘↔11001110110)⨵⪆(≮⫘↔1100101011101⨪↰⇹≮⫘↔110101000001)∼(≮⫘↔100011001000⫌⩹⨱))⩚⊴⇥(⪲⇎((↯⪼≮⫘↔10100011011)%≮⫘↔11000010111⨸⪁≮⫘↔1011010110110))","cot":[{"info":"≮⫘↔100010000111↬≮⫘↔100101110100=NaN","layer":3},{"info":"≤/≮⫘↔11001110110=≮⫘↔-10010010010","layer":3},{"info":"NaN⫥∨⫟≮⫘↔-10010010010=NaN","layer":2},{"info":"≮⫘↔1100101011101⨪↰⇹≮⫘↔110101000001=≮⫘↔1100101011101","layer":3},{"info":"≮⫘↔100011001000⫌⩹⨱=≮⫘↔1011100001001","layer":3},{"info":"≮⫘↔1100101011101∼≮⫘↔1011100001001=NaN","layer":2},{"info":"NaN⨵⪆NaN=≮⫘↔10100000","layer":1},{"info":"↯⪼≮⫘↔10100011011=≮⫘↔-10101","layer":3},{"info":"≮⫘↔11000010111⨸⪁≮⫘↔1011010110110=≮⫘↔11100110011010","layer":3},{"info":"≮⫘↔-10101%≮⫘↔11100110011010=≮⫘↔11100110000101","layer":2},{"info":"⪲⇎≮⫘↔11100110000101=≮⫘↔111001100001010","layer":1},{"info":"≮⫘↔10100000⩚⊴⇥≮⫘↔111001100001010=≮⫘↔-111010000100011","layer":0}]}
{"id":370,"expression_no_base_symbol":"($2413$⨳⩥⨓$5640$)⪢($5660$⨎$1610$)⨐⩸⫘($3191$⊭∹↮)⪘⫢($1900$+⇶⊼$4717$)⇼⇔∾($5726$⨎$3249$)≹⇙⪍($3119$⊘)↬($2847$↺$1024$%(≦∁$4021$))","expression":"(≮⫘↔100101101101⨳⩥⨓≮⫘↔1011000001000)⪢(≮⫘↔1011000011100⨎≮⫘↔11001001010)⨐⩸⫘(≮⫘↔110001110111⊭∹↮)⪘⫢(≮⫘↔11101101100+⇶⊼≮⫘↔1001001101101)⇼⇔∾(≮⫘↔1011001011110⨎≮⫘↔110010110001)≹⇙⪍(≮⫘↔110000101111⊘)↬(≮⫘↔101100011111↺≮⫘↔10000000000%(≦∁≮⫘↔111110110101))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2120,"operation_count":15,"complexity_ratio":141.33333333333334,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2413,"base":2},"right_expr":{"type":"numeric_atoms","value":5640,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5660,"base":2},"right_expr":{"type":"numeric_atoms","value":1610,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3191,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1900,"base":2},"right_expr":{"type":"numeric_atoms","value":4717,"base":2}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5726,"base":2},"right_expr":{"type":"numeric_atoms","value":3249,"base":2}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3119,"base":2}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2847,"base":2},"right_expr":{"type":"numeric_atoms","value":1024,"base":2}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4021,"base":2}}}}},"used_operators":["tifHPKVTfV","fu6greOZ01","dWAJyo7jo9","nCS4ZIUYfx","rJVOvQCfKK","oacrs7FA3X","xNBdhnnwKq","TpPTUOHfaN","B5M0gjZbta","AHs5Up7iyr","gu96TGCTMs","k8jYdgA6NY","7j4O788W3g","9ICcGScMcE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","rGHVDoGpnC","dWAJyo7jo9","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2413","layer":4},{"info":"number node, value=5640","layer":4},{"info":"compute binary expreesion, left_input=2413, right_input=5640, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3227","layer":3},{"info":"number node, value=5660","layer":4},{"info":"number node, value=1610","layer":4},{"info":"compute binary expreesion, left_input=5660, right_input=1610, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1610","layer":3},{"info":"compute binary expreesion, left_input=3227, right_input=1610, 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=3191","layer":4},{"info":"compute unary expreesion, input=3191, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6382","layer":3},{"info":"number node, value=1900","layer":4},{"info":"number node, value=4717","layer":4},{"info":"compute binary expreesion, left_input=1900, right_input=4717, 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=6382, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"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":"number node, value=5726","layer":4},{"info":"number node, value=3249","layer":4},{"info":"compute binary expreesion, left_input=5726, right_input=3249, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3249","layer":3},{"info":"number node, value=3119","layer":4},{"info":"compute unary expreesion, input=3119, 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=3249, 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=3249","layer":2},{"info":"number node, value=2847","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=2847, right_input=1024, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1024","layer":3},{"info":"number node, value=4021","layer":4},{"info":"compute unary expreesion, input=4021, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4021","layer":3},{"info":"compute binary expreesion, left_input=1024, right_input=4021, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1024","layer":2},{"info":"compute binary expreesion, left_input=3249, right_input=1024, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100101101101⨳⩥⨓≮⫘↔1011000001000)⪢(≮⫘↔1011000011100⨎≮⫘↔11001001010)⨐⩸⫘(≮⫘↔110001110111⊭∹↮)⪘⫢(≮⫘↔11101101100+⇶⊼≮⫘↔1001001101101)⇼⇔∾(≮⫘↔1011001011110⨎≮⫘↔110010110001)≹⇙⪍(≮⫘↔110000101111⊘)↬(≮⫘↔101100011111↺≮⫘↔10000000000%(≦∁≮⫘↔111110110101))=NaN","reverse_text":"NaN=(≮⫘↔100101101101⨳⩥⨓≮⫘↔1011000001000)⪢(≮⫘↔1011000011100⨎≮⫘↔11001001010)⨐⩸⫘(≮⫘↔110001110111⊭∹↮)⪘⫢(≮⫘↔11101101100+⇶⊼≮⫘↔1001001101101)⇼⇔∾(≮⫘↔1011001011110⨎≮⫘↔110010110001)≹⇙⪍(≮⫘↔110000101111⊘)↬(≮⫘↔101100011111↺≮⫘↔10000000000%(≦∁≮⫘↔111110110101))","cot":[{"info":"≮⫘↔100101101101⨳⩥⨓≮⫘↔1011000001000=≮⫘↔110010011011","layer":3},{"info":"≮⫘↔1011000011100⨎≮⫘↔11001001010=≮⫘↔11001001010","layer":3},{"info":"≮⫘↔110010011011⪢≮⫘↔11001001010=NaN","layer":2},{"info":"≮⫘↔110001110111⊭∹↮=≮⫘↔1100011101110","layer":3},{"info":"≮⫘↔11101101100+⇶⊼≮⫘↔1001001101101=NaN","layer":3},{"info":"≮⫘↔1100011101110⪘⫢NaN=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"≮⫘↔1011001011110⨎≮⫘↔110010110001=≮⫘↔110010110001","layer":3},{"info":"≮⫘↔110000101111⊘=≮⫘↔0","layer":3},{"info":"≮⫘↔110010110001≹⇙⪍≮⫘↔0=≮⫘↔110010110001","layer":2},{"info":"≮⫘↔101100011111↺≮⫘↔10000000000=≮⫘↔10000000000","layer":3},{"info":"≦∁≮⫘↔111110110101=≮⫘↔111110110101","layer":3},{"info":"≮⫘↔10000000000%≮⫘↔111110110101=≮⫘↔10000000000","layer":2},{"info":"≮⫘↔110010110001↬≮⫘↔10000000000=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":371,"expression_no_base_symbol":"↔((($6109$⊘)⨪↰⇹$1770$⇷$5970$)⪮%⊝($8064$↺$2340$)≹⇙⪍($1201$⨵⪆$3676$))","expression":"↔(((≮⫘↔1011111011101⊘)⨪↰⇹≮⫘↔11011101010⇷≮⫘↔1011101010010)⪮%⊝(≮⫘↔1111110000000↺≮⫘↔100100100100)≹⇙⪍(≮⫘↔10010110001⨵⪆≮⫘↔111001011100))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":50648,"operation_count":8,"complexity_ratio":6331.0,"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":6109,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1770,"base":2},"right_expr":{"type":"numeric_atoms","value":5970,"base":2}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":8064,"base":2},"right_expr":{"type":"numeric_atoms","value":2340,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1201,"base":2},"right_expr":{"type":"numeric_atoms","value":3676,"base":2}}}}},"used_operators":["ruOEQAzv1W","IWmyXbctLI","tmPS8pqC7x","gu96TGCTMs","mp7IySMOzn","AHs5Up7iyr","7j4O788W3g","2DQ55sFlQl"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-10000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6109","layer":4},{"info":"compute unary expreesion, input=6109, 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=1770","layer":4},{"info":"number node, value=5970","layer":4},{"info":"compute binary expreesion, left_input=1770, right_input=5970, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11940","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=11940, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":2},{"info":"number node, value=8064","layer":4},{"info":"number node, value=2340","layer":4},{"info":"compute binary expreesion, left_input=8064, right_input=2340, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2340","layer":3},{"info":"number node, value=1201","layer":4},{"info":"number node, value=3676","layer":4},{"info":"compute binary expreesion, left_input=1201, right_input=3676, 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=2340, right_input=160, 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=0, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"↔(((≮⫘↔1011111011101⊘)⨪↰⇹≮⫘↔11011101010⇷≮⫘↔1011101010010)⪮%⊝(≮⫘↔1111110000000↺≮⫘↔100100100100)≹⇙⪍(≮⫘↔10010110001⨵⪆≮⫘↔111001011100))=≮⫘↔-10000110","reverse_text":"≮⫘↔-10000110=↔(((≮⫘↔1011111011101⊘)⨪↰⇹≮⫘↔11011101010⇷≮⫘↔1011101010010)⪮%⊝(≮⫘↔1111110000000↺≮⫘↔100100100100)≹⇙⪍(≮⫘↔10010110001⨵⪆≮⫘↔111001011100))","cot":[{"info":"≮⫘↔1011111011101⊘=≮⫘↔0","layer":3},{"info":"≮⫘↔11011101010⇷≮⫘↔1011101010010=≮⫘↔10111010100100","layer":3},{"info":"≮⫘↔0⨪↰⇹≮⫘↔10111010100100=≮⫘↔0","layer":2},{"info":"≮⫘↔1111110000000↺≮⫘↔100100100100=≮⫘↔100100100100","layer":3},{"info":"≮⫘↔10010110001⨵⪆≮⫘↔111001011100=≮⫘↔10100000","layer":3},{"info":"≮⫘↔100100100100≹⇙⪍≮⫘↔10100000=NaN","layer":2},{"info":"≮⫘↔0⪮%⊝NaN=NaN","layer":1},{"info":"↔NaN=≮⫘↔-10000110","layer":0}]}
{"id":372,"expression_no_base_symbol":"(($1909$⪮%⊝$2408$-$1750$⪮%⊝$1297$)≣⋋)∲⫓(⨑⩽⪐$1706$)∑⇟⊟$2472$⪘⫢$2726$*(($1953$-$2839$)⊪)","expression":"((≮⫘↔11101110101⪮%⊝≮⫘↔100101101000-≮⫘↔11011010110⪮%⊝≮⫘↔10100010001)≣⋋)∲⫓(⨑⩽⪐≮⫘↔11010101010)∑⇟⊟≮⫘↔100110101000⪘⫢≮⫘↔101010100110*((≮⫘↔11110100001-≮⫘↔101100010111)⊪)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3039,"operation_count":11,"complexity_ratio":276.27272727272725,"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":1909,"base":2},"right_expr":{"type":"numeric_atoms","value":2408,"base":2}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1750,"base":2},"right_expr":{"type":"numeric_atoms","value":1297,"base":2}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1706,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2472,"base":2},"right_expr":{"type":"numeric_atoms","value":2726,"base":2}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1953,"base":2},"right_expr":{"type":"numeric_atoms","value":2839,"base":2}}}}},"used_operators":["i8ToyICDmI","Tcnh7f0tEr","rysDP5nf3Z","IWmyXbctLI","9HNa5Wba9A","U7g4x0WXJJ","AF7qkfDlqP","oacrs7FA3X","zVYPLywUTj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1909","layer":4},{"info":"number node, value=2408","layer":4},{"info":"compute binary expreesion, left_input=1909, right_input=2408, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4134","layer":3},{"info":"number node, value=1750","layer":4},{"info":"number node, value=1297","layer":4},{"info":"compute binary expreesion, left_input=1750, right_input=1297, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3816","layer":3},{"info":"compute binary expreesion, left_input=4134, right_input=3816, op_id = rysDP5nf3Z binary_op_definition= 'None', output=318","layer":2},{"info":"compute unary expreesion, input=318, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"number node, value=1706","layer":4},{"info":"compute unary expreesion, input=1706, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1433","layer":3},{"info":"number node, value=2472","layer":4},{"info":"number node, value=2726","layer":4},{"info":"compute binary expreesion, left_input=2472, right_input=2726, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4820","layer":3},{"info":"compute binary expreesion, left_input=-1433, right_input=4820, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1953","layer":4},{"info":"number node, value=2839","layer":4},{"info":"compute binary expreesion, left_input=1953, right_input=2839, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-886","layer":3},{"info":"compute unary expreesion, input=-886, 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=7953158","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7953158, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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":2,"result_base":2,"text":"((≮⫘↔11101110101⪮%⊝≮⫘↔100101101000-≮⫘↔11011010110⪮%⊝≮⫘↔10100010001)≣⋋)∲⫓(⨑⩽⪐≮⫘↔11010101010)∑⇟⊟≮⫘↔100110101000⪘⫢≮⫘↔101010100110*((≮⫘↔11110100001-≮⫘↔101100010111)⊪)=NaN","reverse_text":"NaN=((≮⫘↔11101110101⪮%⊝≮⫘↔100101101000-≮⫘↔11011010110⪮%⊝≮⫘↔10100010001)≣⋋)∲⫓(⨑⩽⪐≮⫘↔11010101010)∑⇟⊟≮⫘↔100110101000⪘⫢≮⫘↔101010100110*((≮⫘↔11110100001-≮⫘↔101100010111)⊪)","cot":[{"info":"≮⫘↔11101110101⪮%⊝≮⫘↔100101101000=≮⫘↔1000000100110","layer":3},{"info":"≮⫘↔11011010110⪮%⊝≮⫘↔10100010001=≮⫘↔111011101000","layer":3},{"info":"≮⫘↔1000000100110-≮⫘↔111011101000=≮⫘↔100111110","layer":2},{"info":"≮⫘↔100111110≣⋋=≮⫘↔0","layer":1},{"info":"⨑⩽⪐≮⫘↔11010101010=≮⫘↔-10110011001","layer":3},{"info":"≮⫘↔100110101000⪘⫢≮⫘↔101010100110=≮⫘↔1001011010100","layer":3},{"info":"≮⫘↔-10110011001∑⇟⊟≮⫘↔1001011010100=NaN","layer":2},{"info":"≮⫘↔11110100001-≮⫘↔101100010111=≮⫘↔-1101110110","layer":3},{"info":"≮⫘↔-1101110110⊪=≮⫘↔11110010101101100000110","layer":2},{"info":"NaN*≮⫘↔11110010101101100000110=NaN","layer":1},{"info":"≮⫘↔0∲⫓NaN=NaN","layer":0}]}
{"id":373,"expression_no_base_symbol":"(⨈⫕((⨞⊢$7139$)≦≮≮))⪮%⊝(($1641$⊉≛↸$3314$⨵⪆$3678$∀⇚≩$2813$)⇋≉)","expression":"(⨈⫕((⨞⊢≮⫘↔1101111100011)≦≮≮))⪮%⊝((≮⫘↔11001101001⊉≛↸≮⫘↔110011110010⨵⪆≮⫘↔111001011110∀⇚≩≮⫘↔101011111101)⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":26152,"operation_count":8,"complexity_ratio":3269.0,"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":7139,"base":2}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1641,"base":2},"right_expr":{"type":"numeric_atoms","value":3314,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3678,"base":2},"right_expr":{"type":"numeric_atoms","value":2813,"base":2}}}}},"used_operators":["IWmyXbctLI","megm06wKyl","D4vGDi5EA2","xUOZtlo3hN","XIabStNQrY","2DQ55sFlQl","DZ8iAZOCBD","LRNGc0VcxI"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"≮⫘↔100010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7139","layer":4},{"info":"compute unary expreesion, input=7139, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-7313","layer":3},{"info":"compute unary expreesion, input=-7313, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=21939","layer":2},{"info":"compute unary expreesion, input=21939, 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":"number node, value=1641","layer":4},{"info":"number node, value=3314","layer":4},{"info":"compute binary expreesion, left_input=1641, right_input=3314, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3282","layer":3},{"info":"number node, value=3678","layer":4},{"info":"number node, value=2813","layer":4},{"info":"compute binary expreesion, left_input=3678, right_input=2813, 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=3282, right_input=nan, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=222","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=222, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=274","layer":0}],"base":2,"result_base":2,"text":"(⨈⫕((⨞⊢≮⫘↔1101111100011)≦≮≮))⪮%⊝((≮⫘↔11001101001⊉≛↸≮⫘↔110011110010⨵⪆≮⫘↔111001011110∀⇚≩≮⫘↔101011111101)⇋≉)=≮⫘↔100010010","reverse_text":"≮⫘↔100010010=(⨈⫕((⨞⊢≮⫘↔1101111100011)≦≮≮))⪮%⊝((≮⫘↔11001101001⊉≛↸≮⫘↔110011110010⨵⪆≮⫘↔111001011110∀⇚≩≮⫘↔101011111101)⇋≉)","cot":[{"info":"⨞⊢≮⫘↔1101111100011=≮⫘↔-1110010010001","layer":3},{"info":"≮⫘↔-1110010010001≦≮≮=≮⫘↔101010110110011","layer":2},{"info":"⨈⫕≮⫘↔101010110110011=≮⫘↔-10101","layer":1},{"info":"≮⫘↔11001101001⊉≛↸≮⫘↔110011110010=≮⫘↔110011010010","layer":3},{"info":"≮⫘↔111001011110∀⇚≩≮⫘↔101011111101=NaN","layer":3},{"info":"≮⫘↔110011010010⨵⪆NaN=≮⫘↔10100000","layer":2},{"info":"≮⫘↔10100000⇋≉=≮⫘↔11011110","layer":1},{"info":"≮⫘↔-10101⪮%⊝≮⫘↔11011110=≮⫘↔100010010","layer":0}]}
{"id":374,"expression_no_base_symbol":"↣≠⋷((($5166$/$2058$)↛⩡⫤)⪛(($2909$⋥≓≎$1684$)⨎($8576$⋳⪒$1029$)))","expression":"↣≠⋷(((≮⫘↔1010000101110/≮⫘↔100000001010)↛⩡⫤)⪛((≮⫘↔101101011101⋥≓≎≮⫘↔11010010100)⨎(≮⫘↔10000110000000⋳⪒≮⫘↔10000000101)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":94,"operation_count":7,"complexity_ratio":13.428571428571429,"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":5166,"base":2},"right_expr":{"type":"numeric_atoms","value":2058,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2909,"base":2},"right_expr":{"type":"numeric_atoms","value":1684,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":8576,"base":2},"right_expr":{"type":"numeric_atoms","value":1029,"base":2}}}}},"used_operators":["Asc51vEJeQ","uFcxV4UQCh","FU0Cs4j7VP","XhwjNDsVaA","rJVOvQCfKK","Qy55tPpLXF","12rbrZMWeM"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=5166","layer":4},{"info":"number node, value=2058","layer":4},{"info":"compute binary expreesion, left_input=5166, right_input=2058, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute unary expreesion, input=2, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=2","layer":2},{"info":"number node, value=2909","layer":4},{"info":"number node, value=1684","layer":4},{"info":"compute binary expreesion, left_input=2909, right_input=1684, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=492","layer":3},{"info":"number node, value=8576","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=8576, right_input=1029, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=15836","layer":3},{"info":"compute binary expreesion, left_input=492, right_input=15836, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=15836","layer":2},{"info":"compute binary expreesion, left_input=2, right_input=15836, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2","layer":1},{"info":"compute unary expreesion, input=2, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↣≠⋷(((≮⫘↔1010000101110/≮⫘↔100000001010)↛⩡⫤)⪛((≮⫘↔101101011101⋥≓≎≮⫘↔11010010100)⨎(≮⫘↔10000110000000⋳⪒≮⫘↔10000000101)))=NaN","reverse_text":"NaN=↣≠⋷(((≮⫘↔1010000101110/≮⫘↔100000001010)↛⩡⫤)⪛((≮⫘↔101101011101⋥≓≎≮⫘↔11010010100)⨎(≮⫘↔10000110000000⋳⪒≮⫘↔10000000101)))","cot":[{"info":"≮⫘↔1010000101110/≮⫘↔100000001010=≮⫘↔10","layer":3},{"info":"≮⫘↔10↛⩡⫤=≮⫘↔10","layer":2},{"info":"≮⫘↔101101011101⋥≓≎≮⫘↔11010010100=≮⫘↔111101100","layer":3},{"info":"≮⫘↔10000110000000⋳⪒≮⫘↔10000000101=≮⫘↔11110111011100","layer":3},{"info":"≮⫘↔111101100⨎≮⫘↔11110111011100=≮⫘↔11110111011100","layer":2},{"info":"≮⫘↔10⪛≮⫘↔11110111011100=≮⫘↔10","layer":1},{"info":"↣≠⋷≮⫘↔10=NaN","layer":0}]}
{"id":375,"expression_no_base_symbol":"((↩$6077$↙$6967$)⇼⇔∾(($1862$⪨≂$4813$)-$6531$⇷$5505$))⋥≓≎($3270$*$3372$+(⨵≀≌$1983$))+⇶⊼((-$1600$)↙($3159$⊦⊿))","expression":"((↩≮⫘↔1011110111101↙≮⫘↔1101100110111)⇼⇔∾((≮⫘↔11101000110⪨≂≮⫘↔1001011001101)-≮⫘↔1100110000011⇷≮⫘↔1010110000001))⋥≓≎(≮⫘↔110011000110*≮⫘↔110100101100+(⨵≀≌≮⫘↔11110111111))+⇶⊼((-≮⫘↔11001000000)↙(≮⫘↔110001010111⊦⊿))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":101723,"operation_count":14,"complexity_ratio":7265.928571428572,"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":6077,"base":2},"right_expr":{"type":"numeric_atoms","value":6967,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1862,"base":2},"right_expr":{"type":"numeric_atoms","value":4813,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6531,"base":2},"right_expr":{"type":"numeric_atoms","value":5505,"base":2}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3270,"base":2},"right_expr":{"type":"numeric_atoms","value":3372,"base":2}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1983,"base":2}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1600,"base":2}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3159,"base":2}}}}},"used_operators":["Qy55tPpLXF","tifHPKVTfV","jLgFTUHLKL","yyfyN0ffXY","rysDP5nf3Z","sdazOOVcIp","mp7IySMOzn","TpPTUOHfaN","W4YGzv6Whe","9HNa5Wba9A","srAu1WTS94","t8gj7n24qd","14qkJME0vr"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6077","layer":4},{"info":"number node, value=6967","layer":4},{"info":"compute binary expreesion, left_input=6077, right_input=6967, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-20901","layer":3},{"info":"compute unary expreesion, input=-20901, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=86224","layer":2},{"info":"number node, value=1862","layer":4},{"info":"number node, value=4813","layer":4},{"info":"compute binary expreesion, left_input=1862, right_input=4813, 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=-5800","layer":3},{"info":"number node, value=6531","layer":4},{"info":"number node, value=5505","layer":4},{"info":"compute binary expreesion, left_input=6531, right_input=5505, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11010","layer":3},{"info":"compute binary expreesion, left_input=-5800, right_input=11010, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-16810","layer":2},{"info":"compute binary expreesion, left_input=86224, right_input=-16810, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-103034","layer":1},{"info":"number node, value=3270","layer":4},{"info":"number node, value=3372","layer":4},{"info":"compute binary expreesion, left_input=3270, right_input=3372, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11026440","layer":3},{"info":"number node, value=1983","layer":4},{"info":"compute unary expreesion, input=1983, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5949","layer":3},{"info":"compute binary expreesion, left_input=11026440, right_input=-5949, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11020491","layer":2},{"info":"number node, value=1600","layer":4},{"info":"compute unary expreesion, input=1600, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1600","layer":3},{"info":"number node, value=3159","layer":4},{"info":"compute unary expreesion, input=3159, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-9556","layer":3},{"info":"compute binary expreesion, left_input=-1600, right_input=-9556, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1600","layer":2},{"info":"compute binary expreesion, left_input=11020491, right_input=-1600, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-103034, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"((↩≮⫘↔1011110111101↙≮⫘↔1101100110111)⇼⇔∾((≮⫘↔11101000110⪨≂≮⫘↔1001011001101)-≮⫘↔1100110000011⇷≮⫘↔1010110000001))⋥≓≎(≮⫘↔110011000110*≮⫘↔110100101100+(⨵≀≌≮⫘↔11110111111))+⇶⊼((-≮⫘↔11001000000)↙(≮⫘↔110001010111⊦⊿))=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=((↩≮⫘↔1011110111101↙≮⫘↔1101100110111)⇼⇔∾((≮⫘↔11101000110⪨≂≮⫘↔1001011001101)-≮⫘↔1100110000011⇷≮⫘↔1010110000001))⋥≓≎(≮⫘↔110011000110*≮⫘↔110100101100+(⨵≀≌≮⫘↔11110111111))+⇶⊼((-≮⫘↔11001000000)↙(≮⫘↔110001010111⊦⊿))","cot":[{"info":"≮⫘↔1011110111101↙≮⫘↔1101100110111=≮⫘↔-101000110100101","layer":3},{"info":"↩≮⫘↔-101000110100101=≮⫘↔10101000011010000","layer":2},{"info":"≮⫘↔11101000110⪨≂≮⫘↔1001011001101=≮⫘↔-1011010101000","layer":3},{"info":"≮⫘↔1100110000011⇷≮⫘↔1010110000001=≮⫘↔10101100000010","layer":3},{"info":"≮⫘↔-1011010101000-≮⫘↔10101100000010=≮⫘↔-100000110101010","layer":2},{"info":"≮⫘↔10101000011010000⇼⇔∾≮⫘↔-100000110101010=≮⫘↔-11001001001111010","layer":1},{"info":"≮⫘↔110011000110*≮⫘↔110100101100=≮⫘↔101010000100000000001000","layer":3},{"info":"⨵≀≌≮⫘↔11110111111=≮⫘↔-1011100111101","layer":3},{"info":"≮⫘↔101010000100000000001000+≮⫘↔-1011100111101=≮⫘↔101010000010100011001011","layer":2},{"info":"-≮⫘↔11001000000=≮⫘↔-11001000000","layer":3},{"info":"≮⫘↔110001010111⊦⊿=≮⫘↔-10010101010100","layer":3},{"info":"≮⫘↔-11001000000↙≮⫘↔-10010101010100=≮⫘↔-11001000000","layer":2},{"info":"≮⫘↔101010000010100011001011+⇶⊼≮⫘↔-11001000000=NaN","layer":1},{"info":"≮⫘↔-11001001001111010⋥≓≎NaN=≮⫘↔1000011","layer":0}]}
{"id":376,"expression_no_base_symbol":"((($1676$⪄$1377$)⨳⩥⨓($7405$⊭↱$1497$))⨐⩸⫘(↔($2379$+$4752$)))∸","expression":"(((≮⫘↔11010001100⪄≮⫘↔10101100001)⨳⩥⨓(≮⫘↔1110011101101⊭↱≮⫘↔10111011001))⨐⩸⫘(↔(≮⫘↔100101001011+≮⫘↔1001010010000)))∸","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":290,"operation_count":7,"complexity_ratio":41.42857142857143,"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":1676,"base":2},"right_expr":{"type":"numeric_atoms","value":1377,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":7405,"base":2},"right_expr":{"type":"numeric_atoms","value":1497,"base":2}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2379,"base":2},"right_expr":{"type":"numeric_atoms","value":4752,"base":2}}}}},"used_operators":["o20kRiQErp","fu6greOZ01","nCS4ZIUYfx","SUmda5xLS4","COABgblf1C","ruOEQAzv1W","W4YGzv6Whe"],"dependent_operators":["tmPS8pqC7x","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"≮⫘↔10110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1676","layer":4},{"info":"number node, value=1377","layer":4},{"info":"compute binary expreesion, left_input=1676, right_input=1377, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-249645","layer":3},{"info":"number node, value=7405","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=7405, right_input=1497, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-11811","layer":3},{"info":"compute binary expreesion, left_input=-249645, right_input=-11811, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=237834","layer":2},{"info":"number node, value=2379","layer":4},{"info":"number node, value=4752","layer":4},{"info":"compute binary expreesion, left_input=2379, right_input=4752, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7131","layer":3},{"info":"compute unary expreesion, input=7131, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-6858","layer":2},{"info":"compute binary expreesion, left_input=237834, right_input=-6858, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔11010001100⪄≮⫘↔10101100001)⨳⩥⨓(≮⫘↔1110011101101⊭↱≮⫘↔10111011001))⨐⩸⫘(↔(≮⫘↔100101001011+≮⫘↔1001010010000)))∸=≮⫘↔10110001","reverse_text":"≮⫘↔10110001=(((≮⫘↔11010001100⪄≮⫘↔10101100001)⨳⩥⨓(≮⫘↔1110011101101⊭↱≮⫘↔10111011001))⨐⩸⫘(↔(≮⫘↔100101001011+≮⫘↔1001010010000)))∸","cot":[{"info":"≮⫘↔11010001100⪄≮⫘↔10101100001=≮⫘↔-111100111100101101","layer":3},{"info":"≮⫘↔1110011101101⊭↱≮⫘↔10111011001=≮⫘↔-10111000100011","layer":3},{"info":"≮⫘↔-111100111100101101⨳⩥⨓≮⫘↔-10111000100011=≮⫘↔111010000100001010","layer":2},{"info":"≮⫘↔100101001011+≮⫘↔1001010010000=≮⫘↔1101111011011","layer":3},{"info":"↔≮⫘↔1101111011011=≮⫘↔-1101011001010","layer":2},{"info":"≮⫘↔111010000100001010⨐⩸⫘≮⫘↔-1101011001010=NaN","layer":1},{"info":"NaN∸=≮⫘↔10110001","layer":0}]}
{"id":377,"expression_no_base_symbol":"(⨈⫕(($1685$/$3138$)⇼⇔∾($2270$/$3016$)))⫸⊐(($3309$⪢$1619$⫌⩹⨱)⪒(∥⊫$4813$≎⊠⪸$4621$))","expression":"(⨈⫕((≮⫘↔11010010101/≮⫘↔110001000010)⇼⇔∾(≮⫘↔100011011110/≮⫘↔101111001000)))⫸⊐((≮⫘↔110011101101⪢≮⫘↔11001010011⫌⩹⨱)⪒(∥⊫≮⫘↔1001011001101≎⊠⪸≮⫘↔1001000001101))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3712,"operation_count":10,"complexity_ratio":371.2,"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":1685,"base":2},"right_expr":{"type":"numeric_atoms","value":3138,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2270,"base":2},"right_expr":{"type":"numeric_atoms","value":3016,"base":2}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3309,"base":2},"right_expr":{"type":"numeric_atoms","value":1619,"base":2}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4813,"base":2},"right_expr":{"type":"numeric_atoms","value":4621,"base":2}}}}},"used_operators":["mqXw5SEYmG","megm06wKyl","tifHPKVTfV","XhwjNDsVaA","f6k1SAg4EE","EBcxylXtPf","dWAJyo7jo9","P8v4zCKN1o","bJkvcejdHO"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"≮⫘↔111001111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1685","layer":4},{"info":"number node, value=3138","layer":4},{"info":"compute binary expreesion, left_input=1685, right_input=3138, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2270","layer":4},{"info":"number node, value=3016","layer":4},{"info":"compute binary expreesion, left_input=2270, right_input=3016, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"number node, value=3309","layer":4},{"info":"number node, value=1619","layer":4},{"info":"compute binary expreesion, left_input=3309, right_input=1619, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":2},{"info":"number node, value=4813","layer":4},{"info":"number node, value=4621","layer":4},{"info":"compute binary expreesion, left_input=4813, right_input=4621, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1246094","layer":3},{"info":"compute unary expreesion, input=1246094, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1246962","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1246962, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, 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=463","layer":0}],"base":2,"result_base":2,"text":"(⨈⫕((≮⫘↔11010010101/≮⫘↔110001000010)⇼⇔∾(≮⫘↔100011011110/≮⫘↔101111001000)))⫸⊐((≮⫘↔110011101101⪢≮⫘↔11001010011⫌⩹⨱)⪒(∥⊫≮⫘↔1001011001101≎⊠⪸≮⫘↔1001000001101))=≮⫘↔111001111","reverse_text":"≮⫘↔111001111=(⨈⫕((≮⫘↔11010010101/≮⫘↔110001000010)⇼⇔∾(≮⫘↔100011011110/≮⫘↔101111001000)))⫸⊐((≮⫘↔110011101101⪢≮⫘↔11001010011⫌⩹⨱)⪒(∥⊫≮⫘↔1001011001101≎⊠⪸≮⫘↔1001000001101))","cot":[{"info":"≮⫘↔11010010101/≮⫘↔110001000010=≮⫘↔0","layer":3},{"info":"≮⫘↔100011011110/≮⫘↔101111001000=≮⫘↔0","layer":3},{"info":"≮⫘↔0⇼⇔∾≮⫘↔0=≮⫘↔0","layer":2},{"info":"⨈⫕≮⫘↔0=≮⫘↔-10101","layer":1},{"info":"≮⫘↔110011101101⪢≮⫘↔11001010011=NaN","layer":3},{"info":"NaN⫌⩹⨱=NaN","layer":2},{"info":"≮⫘↔1001011001101≎⊠⪸≮⫘↔1001000001101=≮⫘↔100110000001110001110","layer":3},{"info":"∥⊫≮⫘↔100110000001110001110=≮⫘↔100110000011011110010","layer":2},{"info":"NaN⪒≮⫘↔100110000011011110010=NaN","layer":1},{"info":"≮⫘↔-10101⫸⊐NaN=≮⫘↔111001111","layer":0}]}
{"id":378,"expression_no_base_symbol":"($2979$⨎$3976$)⇷(↯⪼$2296$)⇼⇔∾$1049$≹⇙⪍$7044$⪢($3290$-$1368$)⩨((-$2620$)⩚⊴⇥($1412$⇼⇔∾$3290$))⨓(($2253$⫥∨⫟$1411$)⋝⋈⪟($2162$⋷$1097$))","expression":"(≮⫘↔101110100011⨎≮⫘↔111110001000)⇷(↯⪼≮⫘↔100011111000)⇼⇔∾≮⫘↔10000011001≹⇙⪍≮⫘↔1101110000100⪢(≮⫘↔110011011010-≮⫘↔10101011000)⩨((-≮⫘↔101000111100)⩚⊴⇥(≮⫘↔10110000100⇼⇔∾≮⫘↔110011011010))⨓((≮⫘↔100011001101⫥∨⫟≮⫘↔10110000011)⋝⋈⪟(≮⫘↔100001110010⋷≮⫘↔10001001001))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":57805,"operation_count":15,"complexity_ratio":3853.6666666666665,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2979,"base":2},"right_expr":{"type":"numeric_atoms","value":3976,"base":2}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2296,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1049,"base":2},"right_expr":{"type":"numeric_atoms","value":7044,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3290,"base":2},"right_expr":{"type":"numeric_atoms","value":1368,"base":2}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2620,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1412,"base":2},"right_expr":{"type":"numeric_atoms","value":3290,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2253,"base":2},"right_expr":{"type":"numeric_atoms","value":1411,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2162,"base":2},"right_expr":{"type":"numeric_atoms","value":1097,"base":2}}}}},"used_operators":["2DlMacCsIx","tifHPKVTfV","mp7IySMOzn","rJVOvQCfKK","8jW3W4yZS5","dWAJyo7jo9","AHs5Up7iyr","rysDP5nf3Z","3ViojmjbAp","NTOWxs364D","t8gj7n24qd","2DDjHMKMc0","KYD54nUTWz","23Mk6UjR3U"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","k8jYdgA6NY","dWAJyo7jo9","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2979","layer":4},{"info":"number node, value=3976","layer":4},{"info":"compute binary expreesion, left_input=2979, right_input=3976, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3976","layer":3},{"info":"number node, value=2296","layer":4},{"info":"compute unary expreesion, input=2296, 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=3976, right_input=-21, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-42","layer":2},{"info":"number node, value=1049","layer":4},{"info":"number node, value=7044","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=7044, 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=3290","layer":4},{"info":"number node, value=1368","layer":4},{"info":"compute binary expreesion, left_input=3290, right_input=1368, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1922","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1922, 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=-42, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=2620","layer":4},{"info":"compute unary expreesion, input=2620, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2620","layer":3},{"info":"number node, value=1412","layer":4},{"info":"number node, value=3290","layer":4},{"info":"compute binary expreesion, left_input=1412, right_input=3290, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1878","layer":3},{"info":"compute binary expreesion, left_input=-2620, right_input=1878, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=621","layer":2},{"info":"number node, value=2253","layer":4},{"info":"number node, value=1411","layer":4},{"info":"compute binary expreesion, left_input=2253, right_input=1411, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2162","layer":4},{"info":"number node, value=1097","layer":4},{"info":"compute binary expreesion, left_input=2162, right_input=1097, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=32","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=32, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=621, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101110100011⨎≮⫘↔111110001000)⇷(↯⪼≮⫘↔100011111000)⇼⇔∾≮⫘↔10000011001≹⇙⪍≮⫘↔1101110000100⪢(≮⫘↔110011011010-≮⫘↔10101011000)⩨((-≮⫘↔101000111100)⩚⊴⇥(≮⫘↔10110000100⇼⇔∾≮⫘↔110011011010))⨓((≮⫘↔100011001101⫥∨⫟≮⫘↔10110000011)⋝⋈⪟(≮⫘↔100001110010⋷≮⫘↔10001001001))=NaN","reverse_text":"NaN=(≮⫘↔101110100011⨎≮⫘↔111110001000)⇷(↯⪼≮⫘↔100011111000)⇼⇔∾≮⫘↔10000011001≹⇙⪍≮⫘↔1101110000100⪢(≮⫘↔110011011010-≮⫘↔10101011000)⩨((-≮⫘↔101000111100)⩚⊴⇥(≮⫘↔10110000100⇼⇔∾≮⫘↔110011011010))⨓((≮⫘↔100011001101⫥∨⫟≮⫘↔10110000011)⋝⋈⪟(≮⫘↔100001110010⋷≮⫘↔10001001001))","cot":[{"info":"≮⫘↔101110100011⨎≮⫘↔111110001000=≮⫘↔111110001000","layer":3},{"info":"↯⪼≮⫘↔100011111000=≮⫘↔-10101","layer":3},{"info":"≮⫘↔111110001000⇷≮⫘↔-10101=≮⫘↔-101010","layer":2},{"info":"≮⫘↔10000011001≹⇙⪍≮⫘↔1101110000100=NaN","layer":3},{"info":"≮⫘↔110011011010-≮⫘↔10101011000=≮⫘↔11110000010","layer":3},{"info":"NaN⪢≮⫘↔11110000010=NaN","layer":2},{"info":"≮⫘↔-101010⇼⇔∾NaN=NaN","layer":1},{"info":"-≮⫘↔101000111100=≮⫘↔-101000111100","layer":3},{"info":"≮⫘↔10110000100⇼⇔∾≮⫘↔110011011010=≮⫘↔11101010110","layer":3},{"info":"≮⫘↔-101000111100⩚⊴⇥≮⫘↔11101010110=≮⫘↔1001101101","layer":2},{"info":"≮⫘↔100011001101⫥∨⫟≮⫘↔10110000011=NaN","layer":3},{"info":"≮⫘↔100001110010⋷≮⫘↔10001001001=≮⫘↔100000","layer":3},{"info":"NaN⋝⋈⪟≮⫘↔100000=NaN","layer":2},{"info":"≮⫘↔1001101101⨓NaN=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
{"id":379,"expression_no_base_symbol":"((($1804$⪨≂$4043$)%(≉$6028$))⫥∨⫟(↣≠⋷$7675$)↬$8518$⨟⋌⩍$1729$)⊴($3417$≹⇙⪍$2061$⩨($1993$⪨≂$6005$)⩨($1424$%$3760$)⨳⩥⨓(↽≂$1227$))","expression":"(((≮⫘↔11100001100⪨≂≮⫘↔111111001011)%(≉≮⫘↔1011110001100))⫥∨⫟(↣≠⋷≮⫘↔1110111111011)↬≮⫘↔10000101000110⨟⋌⩍≮⫘↔11011000001)⊴(≮⫘↔110101011001≹⇙⪍≮⫘↔100000001101⩨(≮⫘↔11111001001⪨≂≮⫘↔1011101110101)⩨(≮⫘↔10110010000%≮⫘↔111010110000)⨳⩥⨓(↽≂≮⫘↔10011001011))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":195,"operation_count":15,"complexity_ratio":13.0,"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":1804,"base":2},"right_expr":{"type":"numeric_atoms","value":4043,"base":2}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":6028,"base":2}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":7675,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":8518,"base":2},"right_expr":{"type":"numeric_atoms","value":1729,"base":2}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3417,"base":2},"right_expr":{"type":"numeric_atoms","value":2061,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1993,"base":2},"right_expr":{"type":"numeric_atoms","value":6005,"base":2}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1424,"base":2},"right_expr":{"type":"numeric_atoms","value":3760,"base":2}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1227,"base":2}}}}},"used_operators":["Nsiff2A1zJ","KYD54nUTWz","k8jYdgA6NY","sdazOOVcIp","e1ybzncUwg","B5M0gjZbta","Asc51vEJeQ","rGHVDoGpnC","2DlMacCsIx","AHs5Up7iyr","nCS4ZIUYfx","u6S6b8DprG"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","XhwjNDsVaA","AHs5Up7iyr","Tcnh7f0tEr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1804","layer":4},{"info":"number node, value=4043","layer":4},{"info":"compute binary expreesion, left_input=1804, right_input=4043, 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=-4376","layer":3},{"info":"number node, value=6028","layer":4},{"info":"compute unary expreesion, input=6028, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6559","layer":3},{"info":"compute binary expreesion, left_input=-4376, right_input=6559, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2183","layer":2},{"info":"number node, value=7675","layer":4},{"info":"compute unary expreesion, input=7675, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=8518","layer":4},{"info":"number node, value=1729","layer":4},{"info":"compute binary expreesion, left_input=8518, right_input=1729, 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 = 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=2183, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3417","layer":4},{"info":"number node, value=2061","layer":4},{"info":"compute binary expreesion, left_input=3417, right_input=2061, 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=1993","layer":4},{"info":"number node, value=6005","layer":4},{"info":"compute binary expreesion, left_input=1993, right_input=6005, 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=-7922","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7922, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=1424","layer":4},{"info":"number node, value=3760","layer":4},{"info":"compute binary expreesion, left_input=1424, right_input=3760, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1424","layer":3},{"info":"number node, value=1227","layer":4},{"info":"compute unary expreesion, input=1227, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2454","layer":3},{"info":"compute binary expreesion, left_input=1424, right_input=-2454, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3878","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3878, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', 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":2,"result_base":2,"text":"(((≮⫘↔11100001100⪨≂≮⫘↔111111001011)%(≉≮⫘↔1011110001100))⫥∨⫟(↣≠⋷≮⫘↔1110111111011)↬≮⫘↔10000101000110⨟⋌⩍≮⫘↔11011000001)⊴(≮⫘↔110101011001≹⇙⪍≮⫘↔100000001101⩨(≮⫘↔11111001001⪨≂≮⫘↔1011101110101)⩨(≮⫘↔10110010000%≮⫘↔111010110000)⨳⩥⨓(↽≂≮⫘↔10011001011))=NaN","reverse_text":"NaN=(((≮⫘↔11100001100⪨≂≮⫘↔111111001011)%(≉≮⫘↔1011110001100))⫥∨⫟(↣≠⋷≮⫘↔1110111111011)↬≮⫘↔10000101000110⨟⋌⩍≮⫘↔11011000001)⊴(≮⫘↔110101011001≹⇙⪍≮⫘↔100000001101⩨(≮⫘↔11111001001⪨≂≮⫘↔1011101110101)⩨(≮⫘↔10110010000%≮⫘↔111010110000)⨳⩥⨓(↽≂≮⫘↔10011001011))","cot":[{"info":"≮⫘↔11100001100⪨≂≮⫘↔111111001011=≮⫘↔-1000100011000","layer":3},{"info":"≉≮⫘↔1011110001100=≮⫘↔1100110011111","layer":3},{"info":"≮⫘↔-1000100011000%≮⫘↔1100110011111=≮⫘↔100010000111","layer":2},{"info":"↣≠⋷≮⫘↔1110111111011=NaN","layer":3},{"info":"≮⫘↔10000101000110⨟⋌⩍≮⫘↔11011000001=NaN","layer":3},{"info":"NaN↬NaN=NaN","layer":2},{"info":"≮⫘↔100010000111⫥∨⫟NaN=NaN","layer":1},{"info":"≮⫘↔110101011001≹⇙⪍≮⫘↔100000001101=NaN","layer":3},{"info":"≮⫘↔11111001001⪨≂≮⫘↔1011101110101=≮⫘↔-1111011110010","layer":3},{"info":"NaN⩨≮⫘↔-1111011110010=NaN","layer":2},{"info":"≮⫘↔10110010000%≮⫘↔111010110000=≮⫘↔10110010000","layer":3},{"info":"↽≂≮⫘↔10011001011=≮⫘↔-100110010110","layer":3},{"info":"≮⫘↔10110010000⨳⩥⨓≮⫘↔-100110010110=≮⫘↔-111100100110","layer":2},{"info":"NaN⩨≮⫘↔-111100100110=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":380,"expression_no_base_symbol":"$3690$⨓$5220$⨽$1029$⨽$2610$⊉≛↸(⩦⩻⨪$5416$)⋝⋈⪟($4333$%$1917$)+(⨞⊢(⋗⩬⋾$1477$↬$1248$))","expression":"≮⫘↔111001101010⨓≮⫘↔1010001100100⨽≮⫘↔10000000101⨽≮⫘↔101000110010⊉≛↸(⩦⩻⨪≮⫘↔1010100101000)⋝⋈⪟(≮⫘↔1000011101101%≮⫘↔11101111101)+(⨞⊢(⋗⩬⋾≮⫘↔10111000101↬≮⫘↔10011100000))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11515,"operation_count":11,"complexity_ratio":1046.8181818181818,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3690,"base":2},"right_expr":{"type":"numeric_atoms","value":5220,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1029,"base":2},"right_expr":{"type":"numeric_atoms","value":2610,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5416,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4333,"base":2},"right_expr":{"type":"numeric_atoms","value":1917,"base":2}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1477,"base":2},"right_expr":{"type":"numeric_atoms","value":1248,"base":2}}}}},"used_operators":["W4YGzv6Whe","DZ8iAZOCBD","8HhzD0ZcuI","3ViojmjbAp","2DDjHMKMc0","2td37pGCOC","k8jYdgA6NY","xUOZtlo3hN","DpFCA1CohY","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3690","layer":4},{"info":"number node, value=5220","layer":4},{"info":"compute binary expreesion, left_input=3690, right_input=5220, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5223","layer":3},{"info":"number node, value=1029","layer":4},{"info":"number node, value=2610","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=2610, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3183039","layer":3},{"info":"compute binary expreesion, left_input=-5223, right_input=-3183039, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-72288756","layer":2},{"info":"number node, value=5416","layer":4},{"info":"compute unary expreesion, input=5416, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5416","layer":3},{"info":"number node, value=4333","layer":4},{"info":"number node, value=1917","layer":4},{"info":"compute binary expreesion, left_input=4333, right_input=1917, op_id = k8jYdgA6NY binary_op_definition= 'None', output=499","layer":3},{"info":"compute binary expreesion, left_input=5416, right_input=499, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5416","layer":2},{"info":"compute binary expreesion, left_input=-72288756, right_input=5416, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-5416","layer":1},{"info":"number node, value=1477","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=1477, right_input=1248, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+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":"compute binary expreesion, left_input=-5416, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔111001101010⨓≮⫘↔1010001100100⨽≮⫘↔10000000101⨽≮⫘↔101000110010⊉≛↸(⩦⩻⨪≮⫘↔1010100101000)⋝⋈⪟(≮⫘↔1000011101101%≮⫘↔11101111101)+(⨞⊢(⋗⩬⋾≮⫘↔10111000101↬≮⫘↔10011100000))=NaN","reverse_text":"NaN=≮⫘↔111001101010⨓≮⫘↔1010001100100⨽≮⫘↔10000000101⨽≮⫘↔101000110010⊉≛↸(⩦⩻⨪≮⫘↔1010100101000)⋝⋈⪟(≮⫘↔1000011101101%≮⫘↔11101111101)+(⨞⊢(⋗⩬⋾≮⫘↔10111000101↬≮⫘↔10011100000))","cot":[{"info":"≮⫘↔111001101010⨓≮⫘↔1010001100100=≮⫘↔-1010001100111","layer":3},{"info":"≮⫘↔10000000101⨽≮⫘↔101000110010=≮⫘↔-1100001001000110111111","layer":3},{"info":"≮⫘↔-1010001100111⨽≮⫘↔-1100001001000110111111=≮⫘↔-100010011110000100111110100","layer":2},{"info":"⩦⩻⨪≮⫘↔1010100101000=≮⫘↔1010100101000","layer":3},{"info":"≮⫘↔1000011101101%≮⫘↔11101111101=≮⫘↔111110011","layer":3},{"info":"≮⫘↔1010100101000⋝⋈⪟≮⫘↔111110011=≮⫘↔1010100101000","layer":2},{"info":"≮⫘↔-100010011110000100111110100⊉≛↸≮⫘↔1010100101000=≮⫘↔-1010100101000","layer":1},{"info":"≮⫘↔10111000101↬≮⫘↔10011100000=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"≮⫘↔-1010100101000+NaN=NaN","layer":0}]}
{"id":381,"expression_no_base_symbol":"((↯⪼$6034$)≎⊠⪸($6890$≦≮≮))∀⇚≩(($7611$⨰$2083$)≦≮≮)≧⫂∧(((↥$9356$)∲⫓($2297$⋷$1017$))⋝⋈⪟(($5419$⪮%⊝$3539$)∧))","expression":"((↯⪼≮⫘↔1011110010010)≎⊠⪸(≮⫘↔1101011101010≦≮≮))∀⇚≩((≮⫘↔1110110111011⨰≮⫘↔100000100011)≦≮≮)≧⫂∧(((↥≮⫘↔10010010001100)∲⫓(≮⫘↔100011111001⋷≮⫘↔1111111001))⋝⋈⪟((≮⫘↔1010100101011⪮%⊝≮⫘↔110111010011)∧))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":729,"operation_count":13,"complexity_ratio":56.07692307692308,"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":6034,"base":2}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":6890,"base":2}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":7611,"base":2},"right_expr":{"type":"numeric_atoms","value":2083,"base":2}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":9356,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2297,"base":2},"right_expr":{"type":"numeric_atoms","value":1017,"base":2}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5419,"base":2},"right_expr":{"type":"numeric_atoms","value":3539,"base":2}}}}},"used_operators":["Ph9nP6C5qx","LRNGc0VcxI","bJkvcejdHO","8jW3W4yZS5","D4vGDi5EA2","eewbuw0ToL","2DDjHMKMc0","i8ToyICDmI","A8NUZmVepG","23Mk6UjR3U","z63VuFQld9","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6034","layer":4},{"info":"compute unary expreesion, input=6034, 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=6890","layer":4},{"info":"compute unary expreesion, input=6890, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-20670","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-20670, 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=7611","layer":4},{"info":"number node, value=2083","layer":4},{"info":"compute binary expreesion, left_input=7611, right_input=2083, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5538","layer":3},{"info":"compute unary expreesion, input=5538, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-16614","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-16614, 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=9356","layer":4},{"info":"compute unary expreesion, input=9356, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=23","layer":3},{"info":"number node, value=2297","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=2297, right_input=1017, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-263","layer":3},{"info":"compute binary expreesion, left_input=23, right_input=-263, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=23","layer":2},{"info":"number node, value=5419","layer":4},{"info":"number node, value=3539","layer":4},{"info":"compute binary expreesion, left_input=5419, right_input=3539, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11154","layer":3},{"info":"compute unary expreesion, input=11154, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=23, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((↯⪼≮⫘↔1011110010010)≎⊠⪸(≮⫘↔1101011101010≦≮≮))∀⇚≩((≮⫘↔1110110111011⨰≮⫘↔100000100011)≦≮≮)≧⫂∧(((↥≮⫘↔10010010001100)∲⫓(≮⫘↔100011111001⋷≮⫘↔1111111001))⋝⋈⪟((≮⫘↔1010100101011⪮%⊝≮⫘↔110111010011)∧))=NaN","reverse_text":"NaN=((↯⪼≮⫘↔1011110010010)≎⊠⪸(≮⫘↔1101011101010≦≮≮))∀⇚≩((≮⫘↔1110110111011⨰≮⫘↔100000100011)≦≮≮)≧⫂∧(((↥≮⫘↔10010010001100)∲⫓(≮⫘↔100011111001⋷≮⫘↔1111111001))⋝⋈⪟((≮⫘↔1010100101011⪮%⊝≮⫘↔110111010011)∧))","cot":[{"info":"↯⪼≮⫘↔1011110010010=≮⫘↔-10101","layer":3},{"info":"≮⫘↔1101011101010≦≮≮=≮⫘↔-101000010111110","layer":3},{"info":"≮⫘↔-10101≎⊠⪸≮⫘↔-101000010111110=≮⫘↔1000011","layer":2},{"info":"≮⫘↔1110110111011⨰≮⫘↔100000100011=≮⫘↔1010110100010","layer":3},{"info":"≮⫘↔1010110100010≦≮≮=≮⫘↔-100000011100110","layer":2},{"info":"≮⫘↔1000011∀⇚≩≮⫘↔-100000011100110=NaN","layer":1},{"info":"↥≮⫘↔10010010001100=≮⫘↔10111","layer":3},{"info":"≮⫘↔100011111001⋷≮⫘↔1111111001=≮⫘↔-100000111","layer":3},{"info":"≮⫘↔10111∲⫓≮⫘↔-100000111=≮⫘↔10111","layer":2},{"info":"≮⫘↔1010100101011⪮%⊝≮⫘↔110111010011=≮⫘↔10101110010010","layer":3},{"info":"≮⫘↔10101110010010∧=NaN","layer":2},{"info":"≮⫘↔10111⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":382,"expression_no_base_symbol":"(($6659$⩤)⫡⨏(⇁⨣⪵$5622$))⪄($1165$⨸⪁$2552$)⇷($5141$*$1291$)+($3462$⋥≓≎$2979$-$3769$⨸⪁$2310$)⪄($1213$%$5733$)∼$1063$⨟⋌⩍$3069$","expression":"((≮⫘↔1101000000011⩤)⫡⨏(⇁⨣⪵≮⫘↔1010111110110))⪄(≮⫘↔10010001101⨸⪁≮⫘↔100111111000)⇷(≮⫘↔1010000010101*≮⫘↔10100001011)+(≮⫘↔110110000110⋥≓≎≮⫘↔101110100011-≮⫘↔111010111001⨸⪁≮⫘↔100100000110)⪄(≮⫘↔10010111101%≮⫘↔1011001100101)∼≮⫘↔10000100111⨟⋌⩍≮⫘↔101111111101","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":105535,"operation_count":15,"complexity_ratio":7035.666666666667,"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":6659,"base":2}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5622,"base":2}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1165,"base":2},"right_expr":{"type":"numeric_atoms","value":2552,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5141,"base":2},"right_expr":{"type":"numeric_atoms","value":1291,"base":2}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3462,"base":2},"right_expr":{"type":"numeric_atoms","value":2979,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3769,"base":2},"right_expr":{"type":"numeric_atoms","value":2310,"base":2}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1213,"base":2},"right_expr":{"type":"numeric_atoms","value":5733,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1063,"base":2},"right_expr":{"type":"numeric_atoms","value":3069,"base":2}}}}},"used_operators":["W4YGzv6Whe","SUmda5xLS4","QMFrweE19q","Z2TMIBDE3Q","inkyxCbjAn","mp7IySMOzn","g55IO6H4Gj","9HNa5Wba9A","rysDP5nf3Z","Qy55tPpLXF","DyGG3AbaNP","k8jYdgA6NY","rGHVDoGpnC"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","Tcnh7f0tEr"],"result":"≮⫘↔1111100010110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6659","layer":4},{"info":"compute unary expreesion, input=6659, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-6659","layer":3},{"info":"number node, value=5622","layer":4},{"info":"compute unary expreesion, input=5622, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6659, 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":"number node, value=1165","layer":4},{"info":"number node, value=2552","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=2552, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7434","layer":3},{"info":"number node, value=5141","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=5141, right_input=1291, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6637031","layer":3},{"info":"compute binary expreesion, left_input=7434, right_input=6637031, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13274062","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=13274062, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=3462","layer":4},{"info":"number node, value=2979","layer":4},{"info":"compute binary expreesion, left_input=3462, right_input=2979, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2529","layer":3},{"info":"number node, value=3769","layer":4},{"info":"number node, value=2310","layer":4},{"info":"compute binary expreesion, left_input=3769, right_input=2310, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12158","layer":3},{"info":"compute binary expreesion, left_input=2529, right_input=12158, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-9629","layer":2},{"info":"number node, value=1213","layer":4},{"info":"number node, value=5733","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=5733, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1213","layer":3},{"info":"number node, value=1063","layer":4},{"info":"number node, value=3069","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=3069, 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=1213, 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=-9629, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=3979, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7958","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1101000000011⩤)⫡⨏(⇁⨣⪵≮⫘↔1010111110110))⪄(≮⫘↔10010001101⨸⪁≮⫘↔100111111000)⇷(≮⫘↔1010000010101*≮⫘↔10100001011)+(≮⫘↔110110000110⋥≓≎≮⫘↔101110100011-≮⫘↔111010111001⨸⪁≮⫘↔100100000110)⪄(≮⫘↔10010111101%≮⫘↔1011001100101)∼≮⫘↔10000100111⨟⋌⩍≮⫘↔101111111101=≮⫘↔1111100010110","reverse_text":"≮⫘↔1111100010110=((≮⫘↔1101000000011⩤)⫡⨏(⇁⨣⪵≮⫘↔1010111110110))⪄(≮⫘↔10010001101⨸⪁≮⫘↔100111111000)⇷(≮⫘↔1010000010101*≮⫘↔10100001011)+(≮⫘↔110110000110⋥≓≎≮⫘↔101110100011-≮⫘↔111010111001⨸⪁≮⫘↔100100000110)⪄(≮⫘↔10010111101%≮⫘↔1011001100101)∼≮⫘↔10000100111⨟⋌⩍≮⫘↔101111111101","cot":[{"info":"≮⫘↔1101000000011⩤=≮⫘↔-1101000000011","layer":3},{"info":"⇁⨣⪵≮⫘↔1010111110110=NaN","layer":3},{"info":"≮⫘↔-1101000000011⫡⨏NaN=NaN","layer":2},{"info":"≮⫘↔10010001101⨸⪁≮⫘↔100111111000=≮⫘↔1110100001010","layer":3},{"info":"≮⫘↔1010000010101*≮⫘↔10100001011=≮⫘↔11001010100010111100111","layer":3},{"info":"≮⫘↔1110100001010⇷≮⫘↔11001010100010111100111=≮⫘↔110010101000101111001110","layer":2},{"info":"NaN⪄≮⫘↔110010101000101111001110=≮⫘↔111110001011","layer":1},{"info":"≮⫘↔110110000110⋥≓≎≮⫘↔101110100011=≮⫘↔100111100001","layer":3},{"info":"≮⫘↔111010111001⨸⪁≮⫘↔100100000110=≮⫘↔10111101111110","layer":3},{"info":"≮⫘↔100111100001-≮⫘↔10111101111110=≮⫘↔-10010110011101","layer":2},{"info":"≮⫘↔10010111101%≮⫘↔1011001100101=≮⫘↔10010111101","layer":3},{"info":"≮⫘↔10000100111⨟⋌⩍≮⫘↔101111111101=NaN","layer":3},{"info":"≮⫘↔10010111101∼NaN=NaN","layer":2},{"info":"≮⫘↔-10010110011101⪄NaN=≮⫘↔111110001011","layer":1},{"info":"≮⫘↔111110001011+≮⫘↔111110001011=≮⫘↔1111100010110","layer":0}]}
{"id":383,"expression_no_base_symbol":"(≦∁(-$2438$⩨$1213$))-($2683$⪨≂$1446$)⨟⋌⩍$2537$⨟⋌⩍$2197$∼(∥⊫$1016$∑⇟⊟$4055$)","expression":"(≦∁(-≮⫘↔100110000110⩨≮⫘↔10010111101))-(≮⫘↔101001111011⪨≂≮⫘↔10110100110)⨟⋌⩍≮⫘↔100111101001⨟⋌⩍≮⫘↔100010010101∼(∥⊫≮⫘↔1111111000∑⇟⊟≮⫘↔111111010111)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":47,"operation_count":10,"complexity_ratio":4.7,"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":2438,"base":2},"right_expr":{"type":"numeric_atoms","value":1213,"base":2}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2683,"base":2},"right_expr":{"type":"numeric_atoms","value":1446,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2537,"base":2},"right_expr":{"type":"numeric_atoms","value":2197,"base":2}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1016,"base":2},"right_expr":{"type":"numeric_atoms","value":4055,"base":2}}}}},"used_operators":["rysDP5nf3Z","9ICcGScMcE","t8gj7n24qd","2DlMacCsIx","DyGG3AbaNP","rGHVDoGpnC","sdazOOVcIp","P8v4zCKN1o","U7g4x0WXJJ"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2438","layer":4},{"info":"number node, value=1213","layer":4},{"info":"compute binary expreesion, left_input=2438, right_input=1213, 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 = t8gj7n24qd, unary_op_definition = 'None', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":1},{"info":"number node, value=2683","layer":4},{"info":"number node, value=1446","layer":4},{"info":"compute binary expreesion, left_input=2683, right_input=1446, 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=2576","layer":3},{"info":"number node, value=2537","layer":4},{"info":"number node, value=2197","layer":4},{"info":"compute binary expreesion, left_input=2537, right_input=2197, 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=2576, 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":"number node, value=1016","layer":4},{"info":"number node, value=4055","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=4055, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, 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":1},{"info":"compute binary expreesion, left_input=-320, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≦∁(-≮⫘↔100110000110⩨≮⫘↔10010111101))-(≮⫘↔101001111011⪨≂≮⫘↔10110100110)⨟⋌⩍≮⫘↔100111101001⨟⋌⩍≮⫘↔100010010101∼(∥⊫≮⫘↔1111111000∑⇟⊟≮⫘↔111111010111)=NaN","reverse_text":"NaN=(≦∁(-≮⫘↔100110000110⩨≮⫘↔10010111101))-(≮⫘↔101001111011⪨≂≮⫘↔10110100110)⨟⋌⩍≮⫘↔100111101001⨟⋌⩍≮⫘↔100010010101∼(∥⊫≮⫘↔1111111000∑⇟⊟≮⫘↔111111010111)","cot":[{"info":"≮⫘↔100110000110⩨≮⫘↔10010111101=≮⫘↔0","layer":3},{"info":"-≮⫘↔0=≮⫘↔0","layer":2},{"info":"≦∁≮⫘↔0=≮⫘↔-101000000","layer":1},{"info":"≮⫘↔101001111011⪨≂≮⫘↔10110100110=≮⫘↔101000010000","layer":3},{"info":"≮⫘↔100111101001⨟⋌⩍≮⫘↔100010010101=NaN","layer":3},{"info":"≮⫘↔101000010000⨟⋌⩍NaN=NaN","layer":2},{"info":"≮⫘↔1111111000∑⇟⊟≮⫘↔111111010111=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"NaN∼NaN=NaN","layer":1},{"info":"≮⫘↔-101000000-NaN=NaN","layer":0}]}
{"id":384,"expression_no_base_symbol":"((($5380$⇋≉)⩨$7028$⪄$2038$)⨐⩸⫘(($6243$⊉≛↸$1231$)⩤))⨪↰⇹(($1361$⩤)⪒($3937$/$2076$))⇷($3915$⩷∴$3223$⨳⩥⨓$1456$↬$3000$)","expression":"(((≮⫘↔1010100000100⇋≉)⩨≮⫘↔1101101110100⪄≮⫘↔11111110110)⨐⩸⫘((≮⫘↔1100001100011⊉≛↸≮⫘↔10011001111)⩤))⨪↰⇹((≮⫘↔10101010001⩤)⪒(≮⫘↔111101100001/≮⫘↔100000011100))⇷(≮⫘↔111101001011⩷∴≮⫘↔110010010111⨳⩥⨓≮⫘↔10110110000↬≮⫘↔101110111000)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19264,"operation_count":14,"complexity_ratio":1376.0,"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":5380,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7028,"base":2},"right_expr":{"type":"numeric_atoms","value":2038,"base":2}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6243,"base":2},"right_expr":{"type":"numeric_atoms","value":1231,"base":2}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1361,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3937,"base":2},"right_expr":{"type":"numeric_atoms","value":2076,"base":2}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3915,"base":2},"right_expr":{"type":"numeric_atoms","value":3223,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1456,"base":2},"right_expr":{"type":"numeric_atoms","value":3000,"base":2}}}}},"used_operators":["tmPS8pqC7x","fu6greOZ01","2DlMacCsIx","XIabStNQrY","SUmda5xLS4","Z2TMIBDE3Q","DZ8iAZOCBD","mp7IySMOzn","f6k1SAg4EE","XhwjNDsVaA","nCS4ZIUYfx","9FxExcQeMw","B5M0gjZbta"],"dependent_operators":["rJVOvQCfKK","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5380","layer":4},{"info":"compute unary expreesion, input=5380, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=10662","layer":3},{"info":"number node, value=7028","layer":4},{"info":"number node, value=2038","layer":4},{"info":"compute binary expreesion, left_input=7028, right_input=2038, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1044385","layer":3},{"info":"compute binary expreesion, left_input=10662, right_input=-1044385, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=294","layer":2},{"info":"number node, value=6243","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=6243, right_input=1231, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12486","layer":3},{"info":"compute unary expreesion, input=12486, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-12486","layer":2},{"info":"compute binary expreesion, left_input=294, right_input=-12486, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1361","layer":4},{"info":"compute unary expreesion, input=1361, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1361","layer":3},{"info":"number node, value=3937","layer":4},{"info":"number node, value=2076","layer":4},{"info":"compute binary expreesion, left_input=3937, right_input=2076, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-1361, right_input=1, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1360","layer":2},{"info":"number node, value=3915","layer":4},{"info":"number node, value=3223","layer":4},{"info":"compute binary expreesion, left_input=3915, right_input=3223, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1352","layer":3},{"info":"number node, value=1456","layer":4},{"info":"number node, value=3000","layer":4},{"info":"compute binary expreesion, left_input=1456, right_input=3000, 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=1352, 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=1360, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1010100000100⇋≉)⩨≮⫘↔1101101110100⪄≮⫘↔11111110110)⨐⩸⫘((≮⫘↔1100001100011⊉≛↸≮⫘↔10011001111)⩤))⨪↰⇹((≮⫘↔10101010001⩤)⪒(≮⫘↔111101100001/≮⫘↔100000011100))⇷(≮⫘↔111101001011⩷∴≮⫘↔110010010111⨳⩥⨓≮⫘↔10110110000↬≮⫘↔101110111000)=NaN","reverse_text":"NaN=(((≮⫘↔1010100000100⇋≉)⩨≮⫘↔1101101110100⪄≮⫘↔11111110110)⨐⩸⫘((≮⫘↔1100001100011⊉≛↸≮⫘↔10011001111)⩤))⨪↰⇹((≮⫘↔10101010001⩤)⪒(≮⫘↔111101100001/≮⫘↔100000011100))⇷(≮⫘↔111101001011⩷∴≮⫘↔110010010111⨳⩥⨓≮⫘↔10110110000↬≮⫘↔101110111000)","cot":[{"info":"≮⫘↔1010100000100⇋≉=≮⫘↔10100110100110","layer":3},{"info":"≮⫘↔1101101110100⪄≮⫘↔11111110110=≮⫘↔-11111110111110100001","layer":3},{"info":"≮⫘↔10100110100110⩨≮⫘↔-11111110111110100001=≮⫘↔100100110","layer":2},{"info":"≮⫘↔1100001100011⊉≛↸≮⫘↔10011001111=≮⫘↔11000011000110","layer":3},{"info":"≮⫘↔11000011000110⩤=≮⫘↔-11000011000110","layer":2},{"info":"≮⫘↔100100110⨐⩸⫘≮⫘↔-11000011000110=NaN","layer":1},{"info":"≮⫘↔10101010001⩤=≮⫘↔-10101010001","layer":3},{"info":"≮⫘↔111101100001/≮⫘↔100000011100=≮⫘↔1","layer":3},{"info":"≮⫘↔-10101010001⪒≮⫘↔1=≮⫘↔10101010000","layer":2},{"info":"≮⫘↔111101001011⩷∴≮⫘↔110010010111=≮⫘↔10101001000","layer":3},{"info":"≮⫘↔10110110000↬≮⫘↔101110111000=NaN","layer":3},{"info":"≮⫘↔10101001000⨳⩥⨓NaN=NaN","layer":2},{"info":"≮⫘↔10101010000⇷NaN=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":385,"expression_no_base_symbol":"(⪲⇎(⨰⫟⨤($4072$↺$2749$)))+($1190$≹⇙⪍$1182$⨵⪆$8116$↬$1443$)≹⇙⪍(($1489$⊭∹↮)≹⇙⪍($1463$⩠))","expression":"(⪲⇎(⨰⫟⨤(≮⫘↔111111101000↺≮⫘↔101010111101)))+(≮⫘↔10010100110≹⇙⪍≮⫘↔10010011110⨵⪆≮⫘↔1111110110100↬≮⫘↔10110100011)≹⇙⪍((≮⫘↔10111010001⊭∹↮)≹⇙⪍(≮⫘↔10110110111⩠))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10190,"operation_count":11,"complexity_ratio":926.3636363636364,"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":4072,"base":2},"right_expr":{"type":"numeric_atoms","value":2749,"base":2}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1190,"base":2},"right_expr":{"type":"numeric_atoms","value":1182,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":8116,"base":2},"right_expr":{"type":"numeric_atoms","value":1443,"base":2}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1489,"base":2}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1463,"base":2}}}}},"used_operators":["W4YGzv6Whe","XPYlsWDdGa","Tw270M8GLb","7j4O788W3g","AHs5Up7iyr","2DQ55sFlQl","B5M0gjZbta","xNBdhnnwKq","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4072","layer":4},{"info":"number node, value=2749","layer":4},{"info":"compute binary expreesion, left_input=4072, right_input=2749, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2749","layer":3},{"info":"compute unary expreesion, input=2749, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"number node, value=1190","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=1182, 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=8116","layer":4},{"info":"number node, value=1443","layer":4},{"info":"compute binary expreesion, left_input=8116, right_input=1443, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1489","layer":4},{"info":"compute unary expreesion, input=1489, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2978","layer":3},{"info":"number node, value=1463","layer":4},{"info":"compute unary expreesion, input=1463, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2978, 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=2978","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=2978, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⪲⇎(⨰⫟⨤(≮⫘↔111111101000↺≮⫘↔101010111101)))+(≮⫘↔10010100110≹⇙⪍≮⫘↔10010011110⨵⪆≮⫘↔1111110110100↬≮⫘↔10110100011)≹⇙⪍((≮⫘↔10111010001⊭∹↮)≹⇙⪍(≮⫘↔10110110111⩠))=NaN","reverse_text":"NaN=(⪲⇎(⨰⫟⨤(≮⫘↔111111101000↺≮⫘↔101010111101)))+(≮⫘↔10010100110≹⇙⪍≮⫘↔10010011110⨵⪆≮⫘↔1111110110100↬≮⫘↔10110100011)≹⇙⪍((≮⫘↔10111010001⊭∹↮)≹⇙⪍(≮⫘↔10110110111⩠))","cot":[{"info":"≮⫘↔111111101000↺≮⫘↔101010111101=≮⫘↔101010111101","layer":3},{"info":"⨰⫟⨤≮⫘↔101010111101=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"≮⫘↔10010100110≹⇙⪍≮⫘↔10010011110=NaN","layer":3},{"info":"≮⫘↔1111110110100↬≮⫘↔10110100011=NaN","layer":3},{"info":"NaN⨵⪆NaN=≮⫘↔10100000","layer":2},{"info":"≮⫘↔10111010001⊭∹↮=≮⫘↔101110100010","layer":3},{"info":"≮⫘↔10110110111⩠=≮⫘↔0","layer":3},{"info":"≮⫘↔101110100010≹⇙⪍≮⫘↔0=≮⫘↔101110100010","layer":2},{"info":"≮⫘↔10100000≹⇙⪍≮⫘↔101110100010=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":386,"expression_no_base_symbol":"(↯⪼(⪲⇎(⨑⩽⪐$4499$)))⨪↰⇹(-$4348$-$2421$)⪢($1244$∼$1240$⪠⩆⊳)","expression":"(↯⪼(⪲⇎(⨑⩽⪐≮⫘↔1000110010011)))⨪↰⇹(-≮⫘↔1000011111100-≮⫘↔100101110101)⪢(≮⫘↔10011011100∼≮⫘↔10011011000⪠⩆⊳)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":16041,"operation_count":9,"complexity_ratio":1782.3333333333333,"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":4499,"base":2}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4348,"base":2},"right_expr":{"type":"numeric_atoms","value":2421,"base":2}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1244,"base":2},"right_expr":{"type":"numeric_atoms","value":1240,"base":2}}}}},"used_operators":["tmPS8pqC7x","8jW3W4yZS5","XPYlsWDdGa","AF7qkfDlqP","dWAJyo7jo9","t8gj7n24qd","rysDP5nf3Z","JLbD19bQDL","DyGG3AbaNP"],"dependent_operators":["rJVOvQCfKK","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"≮⫘↔11111001110011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4499","layer":4},{"info":"compute unary expreesion, input=4499, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4226","layer":3},{"info":"compute unary expreesion, input=-4226, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-8452","layer":2},{"info":"compute unary expreesion, input=-8452, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=15987","layer":1},{"info":"number node, value=4348","layer":4},{"info":"number node, value=2421","layer":4},{"info":"compute binary expreesion, left_input=4348, right_input=2421, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1927","layer":3},{"info":"compute unary expreesion, input=1927, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1927","layer":2},{"info":"number node, value=1244","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=1240, 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 = 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":2},{"info":"compute binary expreesion, left_input=-1927, 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 binary expreesion, left_input=15987, 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=15987","layer":0}],"base":2,"result_base":2,"text":"(↯⪼(⪲⇎(⨑⩽⪐≮⫘↔1000110010011)))⨪↰⇹(-≮⫘↔1000011111100-≮⫘↔100101110101)⪢(≮⫘↔10011011100∼≮⫘↔10011011000⪠⩆⊳)=≮⫘↔11111001110011","reverse_text":"≮⫘↔11111001110011=(↯⪼(⪲⇎(⨑⩽⪐≮⫘↔1000110010011)))⨪↰⇹(-≮⫘↔1000011111100-≮⫘↔100101110101)⪢(≮⫘↔10011011100∼≮⫘↔10011011000⪠⩆⊳)","cot":[{"info":"⨑⩽⪐≮⫘↔1000110010011=≮⫘↔-1000010000010","layer":3},{"info":"⪲⇎≮⫘↔-1000010000010=≮⫘↔-10000100000100","layer":2},{"info":"↯⪼≮⫘↔-10000100000100=≮⫘↔11111001110011","layer":1},{"info":"≮⫘↔1000011111100-≮⫘↔100101110101=≮⫘↔11110000111","layer":3},{"info":"-≮⫘↔11110000111=≮⫘↔-11110000111","layer":2},{"info":"≮⫘↔10011011100∼≮⫘↔10011011000=NaN","layer":3},{"info":"NaN⪠⩆⊳=NaN","layer":2},{"info":"≮⫘↔-11110000111⪢NaN=NaN","layer":1},{"info":"≮⫘↔11111001110011⨪↰⇹NaN=≮⫘↔11111001110011","layer":0}]}
{"id":387,"expression_no_base_symbol":"⪲⇎(⨞⊢(↯⪼(⫓⪴$2457$)))","expression":"⪲⇎(⨞⊢(↯⪼(⫓⪴≮⫘↔100110011001)))","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2492,"operation_count":4,"complexity_ratio":623.0,"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":2457,"base":2}}}}},"used_operators":["XPYlsWDdGa","xUOZtlo3hN","8jW3W4yZS5","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A"],"result":"≮⫘↔-100110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2457","layer":4},{"info":"compute unary expreesion, input=2457, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=6036849","layer":3},{"info":"compute unary expreesion, input=6036849, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-153","layer":1},{"info":"compute unary expreesion, input=-153, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-306","layer":0}],"base":2,"result_base":2,"text":"⪲⇎(⨞⊢(↯⪼(⫓⪴≮⫘↔100110011001)))=≮⫘↔-100110010","reverse_text":"≮⫘↔-100110010=⪲⇎(⨞⊢(↯⪼(⫓⪴≮⫘↔100110011001)))","cot":[{"info":"⫓⪴≮⫘↔100110011001=≮⫘↔10111000001110101110001","layer":3},{"info":"↯⪼≮⫘↔10111000001110101110001=≮⫘↔-10101","layer":2},{"info":"⨞⊢≮⫘↔-10101=≮⫘↔-10011001","layer":1},{"info":"⪲⇎≮⫘↔-10011001=≮⫘↔-100110010","layer":0}]}
{"id":388,"expression_no_base_symbol":"(($3708$≎⊠⪸$7371$)⪛(↯⪼$3696$))⪮%⊝(⩦⩻⨪($4561$⩨$2051$))↺($5517$⩚⊴⇥$1274$⊉≛↸$1685$⨪↰⇹$4216$)⨰(⪝⪂⫅$1905$)⪢(↣≠⋷$3806$)","expression":"((≮⫘↔111001111100≎⊠⪸≮⫘↔1110011001011)⪛(↯⪼≮⫘↔111001110000))⪮%⊝(⩦⩻⨪(≮⫘↔1000111010001⩨≮⫘↔100000000011))↺(≮⫘↔1010110001101⩚⊴⇥≮⫘↔10011111010⊉≛↸≮⫘↔11010010101⨪↰⇹≮⫘↔1000001111000)⨰(⪝⪂⫅≮⫘↔11101110001)⪢(↣≠⋷≮⫘↔111011011110)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":47883,"operation_count":14,"complexity_ratio":3420.214285714286,"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":3708,"base":2},"right_expr":{"type":"numeric_atoms","value":7371,"base":2}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3696,"base":2}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4561,"base":2},"right_expr":{"type":"numeric_atoms","value":2051,"base":2}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5517,"base":2},"right_expr":{"type":"numeric_atoms","value":1274,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1685,"base":2},"right_expr":{"type":"numeric_atoms","value":4216,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1905,"base":2}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3806,"base":2}}}}},"used_operators":["7j4O788W3g","IWmyXbctLI","uFcxV4UQCh","bJkvcejdHO","8jW3W4yZS5","2td37pGCOC","2DlMacCsIx","eewbuw0ToL","DZ8iAZOCBD","NTOWxs364D","tmPS8pqC7x","dWAJyo7jo9","XTarYq4gQB","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK","k8jYdgA6NY","9HNa5Wba9A","8w2t5hMYqp","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3708","layer":4},{"info":"number node, value=7371","layer":4},{"info":"compute binary expreesion, left_input=3708, right_input=7371, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=959899","layer":3},{"info":"number node, value=3696","layer":4},{"info":"compute unary expreesion, input=3696, 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=959899, right_input=-21, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-11","layer":2},{"info":"number node, value=4561","layer":4},{"info":"number node, value=2051","layer":4},{"info":"compute binary expreesion, left_input=4561, right_input=2051, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-11, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=5517","layer":4},{"info":"number node, value=1274","layer":4},{"info":"compute binary expreesion, left_input=5517, right_input=1274, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6912","layer":3},{"info":"number node, value=1685","layer":4},{"info":"number node, value=4216","layer":4},{"info":"compute binary expreesion, left_input=1685, right_input=4216, 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=1685","layer":3},{"info":"compute binary expreesion, left_input=-6912, right_input=1685, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-1685","layer":2},{"info":"number node, value=1905","layer":4},{"info":"compute unary expreesion, input=1905, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-280035","layer":3},{"info":"number node, value=3806","layer":4},{"info":"compute unary expreesion, input=3806, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-280035, 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=-1685, 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=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111001111100≎⊠⪸≮⫘↔1110011001011)⪛(↯⪼≮⫘↔111001110000))⪮%⊝(⩦⩻⨪(≮⫘↔1000111010001⩨≮⫘↔100000000011))↺(≮⫘↔1010110001101⩚⊴⇥≮⫘↔10011111010⊉≛↸≮⫘↔11010010101⨪↰⇹≮⫘↔1000001111000)⨰(⪝⪂⫅≮⫘↔11101110001)⪢(↣≠⋷≮⫘↔111011011110)=NaN","reverse_text":"NaN=((≮⫘↔111001111100≎⊠⪸≮⫘↔1110011001011)⪛(↯⪼≮⫘↔111001110000))⪮%⊝(⩦⩻⨪(≮⫘↔1000111010001⩨≮⫘↔100000000011))↺(≮⫘↔1010110001101⩚⊴⇥≮⫘↔10011111010⊉≛↸≮⫘↔11010010101⨪↰⇹≮⫘↔1000001111000)⨰(⪝⪂⫅≮⫘↔11101110001)⪢(↣≠⋷≮⫘↔111011011110)","cot":[{"info":"≮⫘↔111001111100≎⊠⪸≮⫘↔1110011001011=≮⫘↔11101010010110011011","layer":3},{"info":"↯⪼≮⫘↔111001110000=≮⫘↔-10101","layer":3},{"info":"≮⫘↔11101010010110011011⪛≮⫘↔-10101=≮⫘↔-1011","layer":2},{"info":"≮⫘↔1000111010001⩨≮⫘↔100000000011=≮⫘↔0","layer":3},{"info":"⩦⩻⨪≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔-1011⪮%⊝≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔1010110001101⩚⊴⇥≮⫘↔10011111010=≮⫘↔-1101100000000","layer":3},{"info":"≮⫘↔11010010101⨪↰⇹≮⫘↔1000001111000=≮⫘↔11010010101","layer":3},{"info":"≮⫘↔-1101100000000⊉≛↸≮⫘↔11010010101=≮⫘↔-11010010101","layer":2},{"info":"⪝⪂⫅≮⫘↔11101110001=≮⫘↔-1000100010111100011","layer":3},{"info":"↣≠⋷≮⫘↔111011011110=NaN","layer":3},{"info":"≮⫘↔-1000100010111100011⪢NaN=NaN","layer":2},{"info":"≮⫘↔-11010010101⨰NaN=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":389,"expression_no_base_symbol":"(∥⊫$7591$≎⊠⪸$8963$⨳⩥⨓($1118$⊭↱$5350$))⊭∹↮","expression":"(∥⊫≮⫘↔1110110100111≎⊠⪸≮⫘↔10001100000011⨳⩥⨓(≮⫘↔10001011110⊭↱≮⫘↔1010011100110))⊭∹↮","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":283,"operation_count":5,"complexity_ratio":56.6,"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":7591,"base":2},"right_expr":{"type":"numeric_atoms","value":8963,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1118,"base":2},"right_expr":{"type":"numeric_atoms","value":5350,"base":2}}}}},"used_operators":["xNBdhnnwKq","P8v4zCKN1o","nCS4ZIUYfx","bJkvcejdHO","COABgblf1C"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-110111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7591","layer":4},{"info":"number node, value=8963","layer":4},{"info":"compute binary expreesion, left_input=7591, right_input=8963, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1965596","layer":3},{"info":"number node, value=1118","layer":4},{"info":"number node, value=5350","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=5350, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8469","layer":3},{"info":"compute binary expreesion, left_input=1965596, right_input=8469, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1957127","layer":2},{"info":"compute unary expreesion, input=-1957127, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":1},{"info":"compute unary expreesion, input=-55, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-55","layer":0}],"base":2,"result_base":2,"text":"(∥⊫≮⫘↔1110110100111≎⊠⪸≮⫘↔10001100000011⨳⩥⨓(≮⫘↔10001011110⊭↱≮⫘↔1010011100110))⊭∹↮=≮⫘↔-110111","reverse_text":"≮⫘↔-110111=(∥⊫≮⫘↔1110110100111≎⊠⪸≮⫘↔10001100000011⨳⩥⨓(≮⫘↔10001011110⊭↱≮⫘↔1010011100110))⊭∹↮","cot":[{"info":"≮⫘↔1110110100111≎⊠⪸≮⫘↔10001100000011=≮⫘↔111011111111000011100","layer":3},{"info":"≮⫘↔10001011110⊭↱≮⫘↔1010011100110=≮⫘↔10000100010101","layer":3},{"info":"≮⫘↔111011111111000011100⨳⩥⨓≮⫘↔10000100010101=≮⫘↔-111011101110100000111","layer":2},{"info":"∥⊫≮⫘↔-111011101110100000111=≮⫘↔-110111","layer":1},{"info":"≮⫘↔-110111⊭∹↮=≮⫘↔-110111","layer":0}]}
{"id":390,"expression_no_base_symbol":"(($1213$≹⇙⪍$5502$)∧)⨳⩥⨓($2621$⋝⋈⪟$3024$⊉≛↸$1108$≧⫂∧$3279$)∲⫓(+⊝⨔($2325$∲⫓$1838$))⫸⊐($5879$⪒$1172$)≭(⪲⇎$3557$)","expression":"((≮⫘↔10010111101≹⇙⪍≮⫘↔1010101111110)∧)⨳⩥⨓(≮⫘↔101000111101⋝⋈⪟≮⫘↔101111010000⊉≛↸≮⫘↔10001010100≧⫂∧≮⫘↔110011001111)∲⫓(+⊝⨔(≮⫘↔100100010101∲⫓≮⫘↔11100101110))⫸⊐(≮⫘↔1011011110111⪒≮⫘↔10010010100)≭(⪲⇎≮⫘↔110111100101)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":70,"operation_count":13,"complexity_ratio":5.384615384615385,"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":1213,"base":2},"right_expr":{"type":"numeric_atoms","value":5502,"base":2}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2621,"base":2},"right_expr":{"type":"numeric_atoms","value":3024,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1108,"base":2},"right_expr":{"type":"numeric_atoms","value":3279,"base":2}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2325,"base":2},"right_expr":{"type":"numeric_atoms","value":1838,"base":2}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5879,"base":2},"right_expr":{"type":"numeric_atoms","value":1172,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3557,"base":2}}}}},"used_operators":["i8ToyICDmI","nCS4ZIUYfx","z63VuFQld9","AHs5Up7iyr","DZ8iAZOCBD","2DDjHMKMc0","Ph9nP6C5qx","mqXw5SEYmG","DhbWaqg5eL","rxpJgHHUmx","f6k1SAg4EE","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1213","layer":4},{"info":"number node, value=5502","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=5502, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":2},{"info":"number node, value=2621","layer":4},{"info":"number node, value=3024","layer":4},{"info":"compute binary expreesion, left_input=2621, right_input=3024, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2621","layer":3},{"info":"number node, value=1108","layer":4},{"info":"number node, value=3279","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=3279, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2806","layer":3},{"info":"compute binary expreesion, left_input=2621, right_input=2806, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5242","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5242, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=2325","layer":4},{"info":"number node, value=1838","layer":4},{"info":"compute binary expreesion, left_input=2325, right_input=1838, 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 = 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=5879","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=5879, right_input=1172, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7051","layer":3},{"info":"number node, value=3557","layer":4},{"info":"compute unary expreesion, input=3557, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7114","layer":3},{"info":"compute binary expreesion, left_input=-7051, right_input=7114, 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=1522, 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":"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":0}],"base":2,"result_base":2,"text":"((≮⫘↔10010111101≹⇙⪍≮⫘↔1010101111110)∧)⨳⩥⨓(≮⫘↔101000111101⋝⋈⪟≮⫘↔101111010000⊉≛↸≮⫘↔10001010100≧⫂∧≮⫘↔110011001111)∲⫓(+⊝⨔(≮⫘↔100100010101∲⫓≮⫘↔11100101110))⫸⊐(≮⫘↔1011011110111⪒≮⫘↔10010010100)≭(⪲⇎≮⫘↔110111100101)=NaN","reverse_text":"NaN=((≮⫘↔10010111101≹⇙⪍≮⫘↔1010101111110)∧)⨳⩥⨓(≮⫘↔101000111101⋝⋈⪟≮⫘↔101111010000⊉≛↸≮⫘↔10001010100≧⫂∧≮⫘↔110011001111)∲⫓(+⊝⨔(≮⫘↔100100010101∲⫓≮⫘↔11100101110))⫸⊐(≮⫘↔1011011110111⪒≮⫘↔10010010100)≭(⪲⇎≮⫘↔110111100101)","cot":[{"info":"≮⫘↔10010111101≹⇙⪍≮⫘↔1010101111110=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"≮⫘↔101000111101⋝⋈⪟≮⫘↔101111010000=≮⫘↔101000111101","layer":3},{"info":"≮⫘↔10001010100≧⫂∧≮⫘↔110011001111=≮⫘↔101011110110","layer":3},{"info":"≮⫘↔101000111101⊉≛↸≮⫘↔101011110110=≮⫘↔1010001111010","layer":2},{"info":"NaN⨳⩥⨓≮⫘↔1010001111010=NaN","layer":1},{"info":"≮⫘↔100100010101∲⫓≮⫘↔11100101110=≮⫘↔0","layer":3},{"info":"+⊝⨔≮⫘↔0=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔1011011110111⪒≮⫘↔10010010100=≮⫘↔-1101110001011","layer":3},{"info":"⪲⇎≮⫘↔110111100101=≮⫘↔1101111001010","layer":3},{"info":"≮⫘↔-1101110001011≭≮⫘↔1101111001010=NaN","layer":2},{"info":"≮⫘↔10111110010⫸⊐NaN=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":391,"expression_no_base_symbol":"(-$2077$)⨟⋌⩍($6738$⨵⪆$2134$)⊉≛↸($2728$-$6011$)↺(⊥$4179$)%(↣≠⋷(($1405$⨟⋌⩍$5262$)⪢($2657$⫩⊇)))","expression":"(-≮⫘↔100000011101)⨟⋌⩍(≮⫘↔1101001010010⨵⪆≮⫘↔100001010110)⊉≛↸(≮⫘↔101010101000-≮⫘↔1011101111011)↺(⊥≮⫘↔1000001010011)%(↣≠⋷((≮⫘↔10101111101⨟⋌⩍≮⫘↔1010010001110)⪢(≮⫘↔101001100001⫩⊇)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3780,"operation_count":12,"complexity_ratio":315.0,"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":2077,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6738,"base":2},"right_expr":{"type":"numeric_atoms","value":2134,"base":2}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2728,"base":2},"right_expr":{"type":"numeric_atoms","value":6011,"base":2}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4179,"base":2}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1405,"base":2},"right_expr":{"type":"numeric_atoms","value":5262,"base":2}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2657,"base":2}}}}},"used_operators":["k8jYdgA6NY","DZ8iAZOCBD","rGHVDoGpnC","t8gj7n24qd","2DQ55sFlQl","7j4O788W3g","rysDP5nf3Z","Q3PJZHRvZv","Asc51vEJeQ","dWAJyo7jo9","BjRHVeLaeN"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","XhwjNDsVaA","AHs5Up7iyr","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2077","layer":4},{"info":"compute unary expreesion, input=2077, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2077","layer":3},{"info":"number node, value=6738","layer":4},{"info":"number node, value=2134","layer":4},{"info":"compute binary expreesion, left_input=6738, right_input=2134, 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=-2077, 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=2728","layer":4},{"info":"number node, value=6011","layer":4},{"info":"compute binary expreesion, left_input=2728, right_input=6011, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3283","layer":3},{"info":"number node, value=4179","layer":4},{"info":"compute unary expreesion, input=4179, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3283, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":1},{"info":"number node, value=1405","layer":4},{"info":"number node, value=5262","layer":4},{"info":"compute binary expreesion, left_input=1405, right_input=5262, 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=2657","layer":4},{"info":"compute unary expreesion, input=2657, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2615","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2615, 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 = 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(-≮⫘↔100000011101)⨟⋌⩍(≮⫘↔1101001010010⨵⪆≮⫘↔100001010110)⊉≛↸(≮⫘↔101010101000-≮⫘↔1011101111011)↺(⊥≮⫘↔1000001010011)%(↣≠⋷((≮⫘↔10101111101⨟⋌⩍≮⫘↔1010010001110)⪢(≮⫘↔101001100001⫩⊇)))=NaN","reverse_text":"NaN=(-≮⫘↔100000011101)⨟⋌⩍(≮⫘↔1101001010010⨵⪆≮⫘↔100001010110)⊉≛↸(≮⫘↔101010101000-≮⫘↔1011101111011)↺(⊥≮⫘↔1000001010011)%(↣≠⋷((≮⫘↔10101111101⨟⋌⩍≮⫘↔1010010001110)⪢(≮⫘↔101001100001⫩⊇)))","cot":[{"info":"-≮⫘↔100000011101=≮⫘↔-100000011101","layer":3},{"info":"≮⫘↔1101001010010⨵⪆≮⫘↔100001010110=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-100000011101⨟⋌⩍≮⫘↔10100000=≮⫘↔0","layer":2},{"info":"≮⫘↔101010101000-≮⫘↔1011101111011=≮⫘↔-110011010011","layer":3},{"info":"⊥≮⫘↔1000001010011=NaN","layer":3},{"info":"≮⫘↔-110011010011↺NaN=NaN","layer":2},{"info":"≮⫘↔0⊉≛↸NaN=≮⫘↔0","layer":1},{"info":"≮⫘↔10101111101⨟⋌⩍≮⫘↔1010010001110=NaN","layer":3},{"info":"≮⫘↔101001100001⫩⊇=≮⫘↔-101000110111","layer":3},{"info":"NaN⪢≮⫘↔-101000110111=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"≮⫘↔0%NaN=NaN","layer":0}]}
{"id":392,"expression_no_base_symbol":"(↥(∥⊫$4677$≭$3528$))⨽(⊥$3963$)⇷($6029$*$6201$)+⇶⊼(⪲⇎($1446$*$1437$))","expression":"(↥(∥⊫≮⫘↔1001001000101≭≮⫘↔110111001000))⨽(⊥≮⫘↔111101111011)⇷(≮⫘↔1011110001101*≮⫘↔1100000111001)+⇶⊼(⪲⇎(≮⫘↔10110100110*≮⫘↔10110011101))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7492,"operation_count":10,"complexity_ratio":749.2,"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":4677,"base":2},"right_expr":{"type":"numeric_atoms","value":3528,"base":2}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3963,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6029,"base":2},"right_expr":{"type":"numeric_atoms","value":6201,"base":2}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1446,"base":2},"right_expr":{"type":"numeric_atoms","value":1437,"base":2}}}}},"used_operators":["8HhzD0ZcuI","A8NUZmVepG","P8v4zCKN1o","rxpJgHHUmx","TpPTUOHfaN","mp7IySMOzn","Q3PJZHRvZv","9HNa5Wba9A","XPYlsWDdGa"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4677","layer":4},{"info":"number node, value=3528","layer":4},{"info":"compute binary expreesion, left_input=4677, right_input=3528, 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 = 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"number node, value=3963","layer":4},{"info":"compute unary expreesion, input=3963, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=6029","layer":4},{"info":"number node, value=6201","layer":4},{"info":"compute binary expreesion, left_input=6029, right_input=6201, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=37385829","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=37385829, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=74771658","layer":2},{"info":"number node, value=1446","layer":4},{"info":"number node, value=1437","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=1437, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2077902","layer":3},{"info":"compute unary expreesion, input=2077902, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4155804","layer":2},{"info":"compute binary expreesion, left_input=74771658, right_input=4155804, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↥(∥⊫≮⫘↔1001001000101≭≮⫘↔110111001000))⨽(⊥≮⫘↔111101111011)⇷(≮⫘↔1011110001101*≮⫘↔1100000111001)+⇶⊼(⪲⇎(≮⫘↔10110100110*≮⫘↔10110011101))=NaN","reverse_text":"NaN=(↥(∥⊫≮⫘↔1001001000101≭≮⫘↔110111001000))⨽(⊥≮⫘↔111101111011)⇷(≮⫘↔1011110001101*≮⫘↔1100000111001)+⇶⊼(⪲⇎(≮⫘↔10110100110*≮⫘↔10110011101))","cot":[{"info":"≮⫘↔1001001000101≭≮⫘↔110111001000=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"⊥≮⫘↔111101111011=NaN","layer":3},{"info":"≮⫘↔1011110001101*≮⫘↔1100000111001=≮⫘↔10001110100111011001100101","layer":3},{"info":"NaN⇷≮⫘↔10001110100111011001100101=≮⫘↔100011101001110110011001010","layer":2},{"info":"≮⫘↔10110100110*≮⫘↔10110011101=≮⫘↔111111011010011001110","layer":3},{"info":"⪲⇎≮⫘↔111111011010011001110=≮⫘↔1111110110100110011100","layer":2},{"info":"≮⫘↔100011101001110110011001010+⇶⊼≮⫘↔1111110110100110011100=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":393,"expression_no_base_symbol":"(⊙↵-(↩($1981$⩨$1134$)))↬(⨵≀≌(⨞⊢(⊄⩳↩$4149$)))","expression":"(⊙↵-(↩(≮⫘↔11110111101⩨≮⫘↔10001101110)))↬(⨵≀≌(⨞⊢(⊄⩳↩≮⫘↔1000000110101)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4922,"operation_count":7,"complexity_ratio":703.1428571428571,"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":1981,"base":2},"right_expr":{"type":"numeric_atoms","value":1134,"base":2}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4149,"base":2}}}}},"used_operators":["B5M0gjZbta","oWn0xqSxBt","jLgFTUHLKL","2DlMacCsIx","srAu1WTS94","xUOZtlo3hN","8w2t5hMYqp"],"dependent_operators":["rGHVDoGpnC","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1981","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=1981, right_input=1134, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":2},{"info":"compute unary expreesion, input=4844, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=4149","layer":4},{"info":"compute unary expreesion, input=4149, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-12447","layer":3},{"info":"compute unary expreesion, input=-12447, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=12273","layer":2},{"info":"compute unary expreesion, input=12273, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-36819","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=-36819, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊙↵-(↩(≮⫘↔11110111101⩨≮⫘↔10001101110)))↬(⨵≀≌(⨞⊢(⊄⩳↩≮⫘↔1000000110101)))=NaN","reverse_text":"NaN=(⊙↵-(↩(≮⫘↔11110111101⩨≮⫘↔10001101110)))↬(⨵≀≌(⨞⊢(⊄⩳↩≮⫘↔1000000110101)))","cot":[{"info":"≮⫘↔11110111101⩨≮⫘↔10001101110=≮⫘↔0","layer":3},{"info":"↩≮⫘↔0=≮⫘↔1001011101100","layer":2},{"info":"⊙↵-≮⫘↔1001011101100=≮⫘↔-1","layer":1},{"info":"⊄⩳↩≮⫘↔1000000110101=≮⫘↔-11000010011111","layer":3},{"info":"⨞⊢≮⫘↔-11000010011111=≮⫘↔10111111110001","layer":2},{"info":"⨵≀≌≮⫘↔10111111110001=≮⫘↔-1000111111010011","layer":1},{"info":"≮⫘↔-1↬≮⫘↔-1000111111010011=NaN","layer":0}]}
{"id":394,"expression_no_base_symbol":"($1552$⋳⪒$1033$*$1755$⪄$1836$⇼⇔∾($4461$⊠≄⫣)⫥∨⫟($1702$⋥≓≎$6327$))⋥≓≎((≉$3904$)≎⊠⪸($2541$⫥∨⫟$2223$)⨵⪆($1312$↙$1394$)↬$2521$≹⇙⪍$1255$)","expression":"(≮⫘↔11000010000⋳⪒≮⫘↔10000001001*≮⫘↔11011011011⪄≮⫘↔11100101100⇼⇔∾(≮⫘↔1000101101101⊠≄⫣)⫥∨⫟(≮⫘↔11010100110⋥≓≎≮⫘↔1100010110111))⋥≓≎((≉≮⫘↔111101000000)≎⊠⪸(≮⫘↔100111101101⫥∨⫟≮⫘↔100010101111)⨵⪆(≮⫘↔10100100000↙≮⫘↔10101110010)↬≮⫘↔100111011001≹⇙⪍≮⫘↔10011100111)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3618,"operation_count":15,"complexity_ratio":241.2,"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":1552,"base":2},"right_expr":{"type":"numeric_atoms","value":1033,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1755,"base":2},"right_expr":{"type":"numeric_atoms","value":1836,"base":2}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4461,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1702,"base":2},"right_expr":{"type":"numeric_atoms","value":6327,"base":2}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3904,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2541,"base":2},"right_expr":{"type":"numeric_atoms","value":2223,"base":2}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1312,"base":2},"right_expr":{"type":"numeric_atoms","value":1394,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2521,"base":2},"right_expr":{"type":"numeric_atoms","value":1255,"base":2}}}}},"used_operators":["Qy55tPpLXF","tifHPKVTfV","9HNa5Wba9A","12rbrZMWeM","SUmda5xLS4","KYD54nUTWz","DIvbN7qnHd","2DQ55sFlQl","bJkvcejdHO","e1ybzncUwg","B5M0gjZbta","yyfyN0ffXY","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1552","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=1033, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1784","layer":3},{"info":"number node, value=1755","layer":4},{"info":"number node, value=1836","layer":4},{"info":"compute binary expreesion, left_input=1755, right_input=1836, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-263173","layer":3},{"info":"compute binary expreesion, left_input=1784, right_input=-263173, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-469500632","layer":2},{"info":"number node, value=4461","layer":4},{"info":"compute unary expreesion, input=4461, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1702","layer":4},{"info":"number node, value=6327","layer":4},{"info":"compute binary expreesion, left_input=1702, right_input=6327, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=10985","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=10985, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-469500632, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=3904","layer":4},{"info":"compute unary expreesion, input=3904, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4435","layer":3},{"info":"number node, value=2541","layer":4},{"info":"number node, value=2223","layer":4},{"info":"compute binary expreesion, left_input=2541, right_input=2223, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4435, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=1312","layer":4},{"info":"number node, value=1394","layer":4},{"info":"compute binary expreesion, left_input=1312, right_input=1394, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4182","layer":3},{"info":"number node, value=2521","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=2521, right_input=1255, 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=-4182, 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":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11000010000⋳⪒≮⫘↔10000001001*≮⫘↔11011011011⪄≮⫘↔11100101100⇼⇔∾(≮⫘↔1000101101101⊠≄⫣)⫥∨⫟(≮⫘↔11010100110⋥≓≎≮⫘↔1100010110111))⋥≓≎((≉≮⫘↔111101000000)≎⊠⪸(≮⫘↔100111101101⫥∨⫟≮⫘↔100010101111)⨵⪆(≮⫘↔10100100000↙≮⫘↔10101110010)↬≮⫘↔100111011001≹⇙⪍≮⫘↔10011100111)=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=(≮⫘↔11000010000⋳⪒≮⫘↔10000001001*≮⫘↔11011011011⪄≮⫘↔11100101100⇼⇔∾(≮⫘↔1000101101101⊠≄⫣)⫥∨⫟(≮⫘↔11010100110⋥≓≎≮⫘↔1100010110111))⋥≓≎((≉≮⫘↔111101000000)≎⊠⪸(≮⫘↔100111101101⫥∨⫟≮⫘↔100010101111)⨵⪆(≮⫘↔10100100000↙≮⫘↔10101110010)↬≮⫘↔100111011001≹⇙⪍≮⫘↔10011100111)","cot":[{"info":"≮⫘↔11000010000⋳⪒≮⫘↔10000001001=≮⫘↔11011111000","layer":3},{"info":"≮⫘↔11011011011⪄≮⫘↔11100101100=≮⫘↔-1000000010000000101","layer":3},{"info":"≮⫘↔11011111000*≮⫘↔-1000000010000000101=≮⫘↔-11011111111000000001011011000","layer":2},{"info":"≮⫘↔1000101101101⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔11010100110⋥≓≎≮⫘↔1100010110111=≮⫘↔10101011101001","layer":3},{"info":"≮⫘↔0⫥∨⫟≮⫘↔10101011101001=NaN","layer":2},{"info":"≮⫘↔-11011111111000000001011011000⇼⇔∾NaN=NaN","layer":1},{"info":"≉≮⫘↔111101000000=≮⫘↔1000101010011","layer":3},{"info":"≮⫘↔100111101101⫥∨⫟≮⫘↔100010101111=NaN","layer":3},{"info":"≮⫘↔1000101010011≎⊠⪸NaN=≮⫘↔1000011","layer":2},{"info":"≮⫘↔10100100000↙≮⫘↔10101110010=≮⫘↔-1000001010110","layer":3},{"info":"≮⫘↔100111011001≹⇙⪍≮⫘↔10011100111=NaN","layer":3},{"info":"≮⫘↔-1000001010110↬NaN=NaN","layer":2},{"info":"≮⫘↔1000011⨵⪆NaN=≮⫘↔10100000","layer":1},{"info":"NaN⋥≓≎≮⫘↔10100000=≮⫘↔1000011","layer":0}]}
{"id":395,"expression_no_base_symbol":"($3968$⪢$5230$⨳⩥⨓$4809$⨐⩸⫘$6791$)↬(($3595$∲⫓$7696$)⨳⩥⨓($1132$⪒$3357$))⋳⪒((+⊝⨔$1572$)≧⫂∧($5723$⋳⪒$4993$)*($6556$⊭↱$1073$)∑⇟⊟(⨈⫕$6068$))","expression":"(≮⫘↔111110000000⪢≮⫘↔1010001101110⨳⩥⨓≮⫘↔1001011001001⨐⩸⫘≮⫘↔1101010000111)↬((≮⫘↔111000001011∲⫓≮⫘↔1111000010000)⨳⩥⨓(≮⫘↔10001101100⪒≮⫘↔110100011101))⋳⪒((+⊝⨔≮⫘↔11000100100)≧⫂∧(≮⫘↔1011001011011⋳⪒≮⫘↔1001110000001)*(≮⫘↔1100110011100⊭↱≮⫘↔10000110001)∑⇟⊟(⨈⫕≮⫘↔1011110110100))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":22116,"operation_count":15,"complexity_ratio":1474.4,"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":3968,"base":2},"right_expr":{"type":"numeric_atoms","value":5230,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4809,"base":2},"right_expr":{"type":"numeric_atoms","value":6791,"base":2}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3595,"base":2},"right_expr":{"type":"numeric_atoms","value":7696,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1132,"base":2},"right_expr":{"type":"numeric_atoms","value":3357,"base":2}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1572,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5723,"base":2},"right_expr":{"type":"numeric_atoms","value":4993,"base":2}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6556,"base":2},"right_expr":{"type":"numeric_atoms","value":1073,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":6068,"base":2}}}}},"used_operators":["12rbrZMWeM","B5M0gjZbta","nCS4ZIUYfx","dWAJyo7jo9","fu6greOZ01","i8ToyICDmI","f6k1SAg4EE","9HNa5Wba9A","Ph9nP6C5qx","DhbWaqg5eL","U7g4x0WXJJ","COABgblf1C","megm06wKyl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3968","layer":4},{"info":"number node, value=5230","layer":4},{"info":"compute binary expreesion, left_input=3968, right_input=5230, 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=4809","layer":4},{"info":"number node, value=6791","layer":4},{"info":"compute binary expreesion, left_input=4809, right_input=6791, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=3595","layer":4},{"info":"number node, value=7696","layer":4},{"info":"compute binary expreesion, left_input=3595, right_input=7696, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1132","layer":4},{"info":"number node, value=3357","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=3357, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4489","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4489, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4489","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4489, 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=1572","layer":4},{"info":"compute unary expreesion, input=1572, 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=5723","layer":4},{"info":"number node, value=4993","layer":4},{"info":"compute binary expreesion, left_input=5723, right_input=4993, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6166","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=6166, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5693","layer":2},{"info":"number node, value=6556","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=6556, right_input=1073, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-10961","layer":3},{"info":"number node, value=6068","layer":4},{"info":"compute unary expreesion, input=6068, 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=-10961, right_input=-21, 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=5693, 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔111110000000⪢≮⫘↔1010001101110⨳⩥⨓≮⫘↔1001011001001⨐⩸⫘≮⫘↔1101010000111)↬((≮⫘↔111000001011∲⫓≮⫘↔1111000010000)⨳⩥⨓(≮⫘↔10001101100⪒≮⫘↔110100011101))⋳⪒((+⊝⨔≮⫘↔11000100100)≧⫂∧(≮⫘↔1011001011011⋳⪒≮⫘↔1001110000001)*(≮⫘↔1100110011100⊭↱≮⫘↔10000110001)∑⇟⊟(⨈⫕≮⫘↔1011110110100))=NaN","reverse_text":"NaN=(≮⫘↔111110000000⪢≮⫘↔1010001101110⨳⩥⨓≮⫘↔1001011001001⨐⩸⫘≮⫘↔1101010000111)↬((≮⫘↔111000001011∲⫓≮⫘↔1111000010000)⨳⩥⨓(≮⫘↔10001101100⪒≮⫘↔110100011101))⋳⪒((+⊝⨔≮⫘↔11000100100)≧⫂∧(≮⫘↔1011001011011⋳⪒≮⫘↔1001110000001)*(≮⫘↔1100110011100⊭↱≮⫘↔10000110001)∑⇟⊟(⨈⫕≮⫘↔1011110110100))","cot":[{"info":"≮⫘↔111110000000⪢≮⫘↔1010001101110=NaN","layer":3},{"info":"≮⫘↔1001011001001⨐⩸⫘≮⫘↔1101010000111=NaN","layer":3},{"info":"NaN⨳⩥⨓NaN=NaN","layer":2},{"info":"≮⫘↔111000001011∲⫓≮⫘↔1111000010000=≮⫘↔0","layer":3},{"info":"≮⫘↔10001101100⪒≮⫘↔110100011101=≮⫘↔-1000110001001","layer":3},{"info":"≮⫘↔0⨳⩥⨓≮⫘↔-1000110001001=≮⫘↔-1000110001001","layer":2},{"info":"NaN↬≮⫘↔-1000110001001=NaN","layer":1},{"info":"+⊝⨔≮⫘↔11000100100=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔1011001011011⋳⪒≮⫘↔1001110000001=≮⫘↔1100000010110","layer":3},{"info":"≮⫘↔10111110010≧⫂∧≮⫘↔1100000010110=≮⫘↔1011000111101","layer":2},{"info":"≮⫘↔1100110011100⊭↱≮⫘↔10000110001=≮⫘↔-10101011010001","layer":3},{"info":"⨈⫕≮⫘↔1011110110100=≮⫘↔-10101","layer":3},{"info":"≮⫘↔-10101011010001∑⇟⊟≮⫘↔-10101=NaN","layer":2},{"info":"≮⫘↔1011000111101*NaN=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":396,"expression_no_base_symbol":"($4847$⪛$7301$⇼⇔∾$5244$+⇶⊼$1433$⊉≛↸($4925$/$1213$)⨰$6811$∑⇟⊟$4177$)⨐⩸⫘((↽≂$3628$≹⇙⪍$2871$)⊦⊿)","expression":"(≮⫘↔1001011101111⪛≮⫘↔1110010000101⇼⇔∾≮⫘↔1010001111100+⇶⊼≮⫘↔10110011001⊉≛↸(≮⫘↔1001100111101/≮⫘↔10010111101)⨰≮⫘↔1101010011011∑⇟⊟≮⫘↔1000001010001)⨐⩸⫘((↽≂≮⫘↔111000101100≹⇙⪍≮⫘↔101100110111)⊦⊿)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":31,"operation_count":11,"complexity_ratio":2.8181818181818183,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4847,"base":2},"right_expr":{"type":"numeric_atoms","value":7301,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5244,"base":2},"right_expr":{"type":"numeric_atoms","value":1433,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4925,"base":2},"right_expr":{"type":"numeric_atoms","value":1213,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6811,"base":2},"right_expr":{"type":"numeric_atoms","value":4177,"base":2}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3628,"base":2},"right_expr":{"type":"numeric_atoms","value":2871,"base":2}}}}},"used_operators":["fu6greOZ01","DZ8iAZOCBD","tifHPKVTfV","uFcxV4UQCh","TpPTUOHfaN","eewbuw0ToL","XhwjNDsVaA","U7g4x0WXJJ","14qkJME0vr","u6S6b8DprG","AHs5Up7iyr"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=4847","layer":4},{"info":"number node, value=7301","layer":4},{"info":"compute binary expreesion, left_input=4847, right_input=7301, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4847","layer":3},{"info":"number node, value=5244","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=5244, right_input=1433, 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=4847, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=4925","layer":4},{"info":"number node, value=1213","layer":4},{"info":"compute binary expreesion, left_input=4925, right_input=1213, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":3},{"info":"number node, value=6811","layer":4},{"info":"number node, value=4177","layer":4},{"info":"compute binary expreesion, left_input=6811, right_input=4177, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4, 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=nan, right_input=nan, 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=3628","layer":4},{"info":"number node, value=2871","layer":4},{"info":"compute binary expreesion, left_input=3628, right_input=2871, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1001011101111⪛≮⫘↔1110010000101⇼⇔∾≮⫘↔1010001111100+⇶⊼≮⫘↔10110011001⊉≛↸(≮⫘↔1001100111101/≮⫘↔10010111101)⨰≮⫘↔1101010011011∑⇟⊟≮⫘↔1000001010001)⨐⩸⫘((↽≂≮⫘↔111000101100≹⇙⪍≮⫘↔101100110111)⊦⊿)=NaN","reverse_text":"NaN=(≮⫘↔1001011101111⪛≮⫘↔1110010000101⇼⇔∾≮⫘↔1010001111100+⇶⊼≮⫘↔10110011001⊉≛↸(≮⫘↔1001100111101/≮⫘↔10010111101)⨰≮⫘↔1101010011011∑⇟⊟≮⫘↔1000001010001)⨐⩸⫘((↽≂≮⫘↔111000101100≹⇙⪍≮⫘↔101100110111)⊦⊿)","cot":[{"info":"≮⫘↔1001011101111⪛≮⫘↔1110010000101=≮⫘↔1001011101111","layer":3},{"info":"≮⫘↔1010001111100+⇶⊼≮⫘↔10110011001=NaN","layer":3},{"info":"≮⫘↔1001011101111⇼⇔∾NaN=NaN","layer":2},{"info":"≮⫘↔1001100111101/≮⫘↔10010111101=≮⫘↔100","layer":3},{"info":"≮⫘↔1101010011011∑⇟⊟≮⫘↔1000001010001=NaN","layer":3},{"info":"≮⫘↔100⨰NaN=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"≮⫘↔111000101100≹⇙⪍≮⫘↔101100110111=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":397,"expression_no_base_symbol":"(($6947$⊉≛↸$6947$)⋓($2518$⊘)⩨($3233$⨵⪆$1078$⋷($1257$⫡⨏$1934$)))⪮%⊝(($2518$⋝⋈⪟$4871$)∼($1353$⨸⪁$2274$)⩨($2561$⫡⨏$3621$)⪘⫢($1799$⊉≛↸$2258$))","expression":"((≮⫘↔1101100100011⊉≛↸≮⫘↔1101100100011)⋓(≮⫘↔100111010110⊘)⩨(≮⫘↔110010100001⨵⪆≮⫘↔10000110110⋷(≮⫘↔10011101001⫡⨏≮⫘↔11110001110)))⪮%⊝((≮⫘↔100111010110⋝⋈⪟≮⫘↔1001100000111)∼(≮⫘↔10101001001⨸⪁≮⫘↔100011100010)⩨(≮⫘↔101000000001⫡⨏≮⫘↔111000100101)⪘⫢(≮⫘↔11100000111⊉≛↸≮⫘↔100011010010))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":142,"operation_count":15,"complexity_ratio":9.466666666666667,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6947,"base":2},"right_expr":{"type":"numeric_atoms","value":6947,"base":2}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2518,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3233,"base":2},"right_expr":{"type":"numeric_atoms","value":1078,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1257,"base":2},"right_expr":{"type":"numeric_atoms","value":1934,"base":2}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2518,"base":2},"right_expr":{"type":"numeric_atoms","value":4871,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1353,"base":2},"right_expr":{"type":"numeric_atoms","value":2274,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2561,"base":2},"right_expr":{"type":"numeric_atoms","value":3621,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1799,"base":2},"right_expr":{"type":"numeric_atoms","value":2258,"base":2}}}}},"used_operators":["IWmyXbctLI","2DlMacCsIx","T2fj7uvVaJ","DZ8iAZOCBD","gu96TGCTMs","23Mk6UjR3U","2DQ55sFlQl","QMFrweE19q","DyGG3AbaNP","2DDjHMKMc0","g55IO6H4Gj","oacrs7FA3X"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6947","layer":4},{"info":"number node, value=6947","layer":4},{"info":"compute binary expreesion, left_input=6947, right_input=6947, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=13894","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=13894, 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=3233","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=3233, right_input=1078, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1257","layer":4},{"info":"number node, value=1934","layer":4},{"info":"compute binary expreesion, left_input=1257, right_input=1934, 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=10936","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=10936, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-320","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-320, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=2518","layer":4},{"info":"number node, value=4871","layer":4},{"info":"compute binary expreesion, left_input=2518, right_input=4871, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2518","layer":3},{"info":"number node, value=1353","layer":4},{"info":"number node, value=2274","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=2274, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7254","layer":3},{"info":"compute binary expreesion, left_input=2518, right_input=7254, 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=2561","layer":4},{"info":"number node, value=3621","layer":4},{"info":"compute binary expreesion, left_input=2561, right_input=3621, 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=20830","layer":3},{"info":"number node, value=1799","layer":4},{"info":"number node, value=2258","layer":4},{"info":"compute binary expreesion, left_input=1799, right_input=2258, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3598","layer":3},{"info":"compute binary expreesion, left_input=20830, right_input=3598, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=41536","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=41536, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1101100100011⊉≛↸≮⫘↔1101100100011)⋓(≮⫘↔100111010110⊘)⩨(≮⫘↔110010100001⨵⪆≮⫘↔10000110110⋷(≮⫘↔10011101001⫡⨏≮⫘↔11110001110)))⪮%⊝((≮⫘↔100111010110⋝⋈⪟≮⫘↔1001100000111)∼(≮⫘↔10101001001⨸⪁≮⫘↔100011100010)⩨(≮⫘↔101000000001⫡⨏≮⫘↔111000100101)⪘⫢(≮⫘↔11100000111⊉≛↸≮⫘↔100011010010))=NaN","reverse_text":"NaN=((≮⫘↔1101100100011⊉≛↸≮⫘↔1101100100011)⋓(≮⫘↔100111010110⊘)⩨(≮⫘↔110010100001⨵⪆≮⫘↔10000110110⋷(≮⫘↔10011101001⫡⨏≮⫘↔11110001110)))⪮%⊝((≮⫘↔100111010110⋝⋈⪟≮⫘↔1001100000111)∼(≮⫘↔10101001001⨸⪁≮⫘↔100011100010)⩨(≮⫘↔101000000001⫡⨏≮⫘↔111000100101)⪘⫢(≮⫘↔11100000111⊉≛↸≮⫘↔100011010010))","cot":[{"info":"≮⫘↔1101100100011⊉≛↸≮⫘↔1101100100011=≮⫘↔11011001000110","layer":3},{"info":"≮⫘↔100111010110⊘=≮⫘↔0","layer":3},{"info":"≮⫘↔11011001000110⋓≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔110010100001⨵⪆≮⫘↔10000110110=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10011101001⫡⨏≮⫘↔11110001110=≮⫘↔10101010111000","layer":3},{"info":"≮⫘↔10100000⋷≮⫘↔10101010111000=≮⫘↔-101000000","layer":2},{"info":"≮⫘↔0⩨≮⫘↔-101000000=NaN","layer":1},{"info":"≮⫘↔100111010110⋝⋈⪟≮⫘↔1001100000111=≮⫘↔100111010110","layer":3},{"info":"≮⫘↔10101001001⨸⪁≮⫘↔100011100010=≮⫘↔1110001010110","layer":3},{"info":"≮⫘↔100111010110∼≮⫘↔1110001010110=NaN","layer":2},{"info":"≮⫘↔101000000001⫡⨏≮⫘↔111000100101=≮⫘↔101000101011110","layer":3},{"info":"≮⫘↔11100000111⊉≛↸≮⫘↔100011010010=≮⫘↔111000001110","layer":3},{"info":"≮⫘↔101000101011110⪘⫢≮⫘↔111000001110=≮⫘↔1010001001000000","layer":2},{"info":"NaN⩨≮⫘↔1010001001000000=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":398,"expression_no_base_symbol":"≉(($4253$∼$2983$)⪢($1559$⊉≛↸$1143$)⊉≛↸($1898$∼$1266$⫌⩹⨱))","expression":"≉((≮⫘↔1000010011101∼≮⫘↔101110100111)⪢(≮⫘↔11000010111⊉≛↸≮⫘↔10001110111)⊉≛↸(≮⫘↔11101101010∼≮⫘↔10011110010⫌⩹⨱))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3254,"operation_count":7,"complexity_ratio":464.85714285714283,"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":4253,"base":2},"right_expr":{"type":"numeric_atoms","value":2983,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1559,"base":2},"right_expr":{"type":"numeric_atoms","value":1143,"base":2}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1898,"base":2},"right_expr":{"type":"numeric_atoms","value":1266,"base":2}}}}},"used_operators":["e1ybzncUwg","DZ8iAZOCBD","dWAJyo7jo9","DyGG3AbaNP","EBcxylXtPf"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4253","layer":4},{"info":"number node, value=2983","layer":4},{"info":"compute binary expreesion, left_input=4253, right_input=2983, 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=1559","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=1559, right_input=1143, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3118","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3118, 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=1898","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=1898, right_input=1266, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":2},{"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":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≉((≮⫘↔1000010011101∼≮⫘↔101110100111)⪢(≮⫘↔11000010111⊉≛↸≮⫘↔10001110111)⊉≛↸(≮⫘↔11101101010∼≮⫘↔10011110010⫌⩹⨱))=NaN","reverse_text":"NaN=≉((≮⫘↔1000010011101∼≮⫘↔101110100111)⪢(≮⫘↔11000010111⊉≛↸≮⫘↔10001110111)⊉≛↸(≮⫘↔11101101010∼≮⫘↔10011110010⫌⩹⨱))","cot":[{"info":"≮⫘↔1000010011101∼≮⫘↔101110100111=NaN","layer":3},{"info":"≮⫘↔11000010111⊉≛↸≮⫘↔10001110111=≮⫘↔110000101110","layer":3},{"info":"NaN⪢≮⫘↔110000101110=NaN","layer":2},{"info":"≮⫘↔11101101010∼≮⫘↔10011110010=NaN","layer":3},{"info":"NaN⫌⩹⨱=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":399,"expression_no_base_symbol":"((⨑⩽⪐$4689$⪘⫢$3778$)≋⫹)⋳⪒($7102$⫡⨏$1018$)⨟⋌⩍($6837$⪘⫢$3069$)⩷∴((∥⊫$2461$)⪐)","expression":"((⨑⩽⪐≮⫘↔1001001010001⪘⫢≮⫘↔111011000010)≋⫹)⋳⪒(≮⫘↔1101110111110⫡⨏≮⫘↔1111111010)⨟⋌⩍(≮⫘↔1101010110101⪘⫢≮⫘↔101111111101)⩷∴((∥⊫≮⫘↔100110011101)⪐)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":64,"operation_count":10,"complexity_ratio":6.4,"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":4689,"base":2},"right_expr":{"type":"numeric_atoms","value":3778,"base":2}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":7102,"base":2},"right_expr":{"type":"numeric_atoms","value":1018,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6837,"base":2},"right_expr":{"type":"numeric_atoms","value":3069,"base":2}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2461,"base":2}}}}},"used_operators":["12rbrZMWeM","N41Kp7NANJ","AF7qkfDlqP","oacrs7FA3X","9FxExcQeMw","rGHVDoGpnC","QMFrweE19q","eH2TOUuTDT","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4689","layer":4},{"info":"number node, value=3778","layer":4},{"info":"compute binary expreesion, left_input=4689, right_input=3778, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9254","layer":3},{"info":"compute unary expreesion, input=9254, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-8981","layer":2},{"info":"compute unary expreesion, input=-8981, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=17962","layer":1},{"info":"number node, value=7102","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=7102, right_input=1018, 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=38329","layer":3},{"info":"number node, value=6837","layer":4},{"info":"number node, value=3069","layer":4},{"info":"compute binary expreesion, left_input=6837, right_input=3069, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=13550","layer":3},{"info":"compute binary expreesion, left_input=38329, right_input=13550, 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=2461","layer":4},{"info":"compute unary expreesion, input=2461, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3329","layer":3},{"info":"compute unary expreesion, input=3329, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=6658","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6658, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=17962, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨑⩽⪐≮⫘↔1001001010001⪘⫢≮⫘↔111011000010)≋⫹)⋳⪒(≮⫘↔1101110111110⫡⨏≮⫘↔1111111010)⨟⋌⩍(≮⫘↔1101010110101⪘⫢≮⫘↔101111111101)⩷∴((∥⊫≮⫘↔100110011101)⪐)=NaN","reverse_text":"NaN=((⨑⩽⪐≮⫘↔1001001010001⪘⫢≮⫘↔111011000010)≋⫹)⋳⪒(≮⫘↔1101110111110⫡⨏≮⫘↔1111111010)⨟⋌⩍(≮⫘↔1101010110101⪘⫢≮⫘↔101111111101)⩷∴((∥⊫≮⫘↔100110011101)⪐)","cot":[{"info":"≮⫘↔1001001010001⪘⫢≮⫘↔111011000010=≮⫘↔10010000100110","layer":3},{"info":"⨑⩽⪐≮⫘↔10010000100110=≮⫘↔-10001100010101","layer":2},{"info":"≮⫘↔-10001100010101≋⫹=≮⫘↔100011000101010","layer":1},{"info":"≮⫘↔1101110111110⫡⨏≮⫘↔1111111010=≮⫘↔1001010110111001","layer":3},{"info":"≮⫘↔1101010110101⪘⫢≮⫘↔101111111101=≮⫘↔11010011101110","layer":3},{"info":"≮⫘↔1001010110111001⨟⋌⩍≮⫘↔11010011101110=NaN","layer":2},{"info":"∥⊫≮⫘↔100110011101=≮⫘↔110100000001","layer":3},{"info":"≮⫘↔110100000001⪐=≮⫘↔1101000000010","layer":2},{"info":"NaN⩷∴≮⫘↔1101000000010=NaN","layer":1},{"info":"≮⫘↔100011000101010⋳⪒NaN=NaN","layer":0}]}
{"id":400,"expression_no_base_symbol":"(((↣≠⋷$6762$)⨐⩸⫘($5437$⪒$3291$))⊦⊿)≹⇙⪍($2549$⨳⩥⨓$2429$⊭↱($6866$⪒$1495$)∲⫓(⫛⫱⨽$1440$)∼(⊥$7912$))","expression":"(((↣≠⋷≮⫘↔1101001101010)⨐⩸⫘(≮⫘↔1010100111101⪒≮⫘↔110011011011))⊦⊿)≹⇙⪍(≮⫘↔100111110101⨳⩥⨓≮⫘↔100101111101⊭↱(≮⫘↔1101011010010⪒≮⫘↔10111010111)∲⫓(⫛⫱⨽≮⫘↔10110100000)∼(⊥≮⫘↔1111011101000))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1454,"operation_count":12,"complexity_ratio":121.16666666666667,"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":6762,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5437,"base":2},"right_expr":{"type":"numeric_atoms","value":3291,"base":2}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2549,"base":2},"right_expr":{"type":"numeric_atoms","value":2429,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6866,"base":2},"right_expr":{"type":"numeric_atoms","value":1495,"base":2}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1440,"base":2}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":7912,"base":2}}}}},"used_operators":["AHs5Up7iyr","14qkJME0vr","fu6greOZ01","Asc51vEJeQ","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","nCS4ZIUYfx","DyGG3AbaNP","DlLNRPXxWL","Q3PJZHRvZv"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6762","layer":4},{"info":"compute unary expreesion, input=6762, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=5437","layer":4},{"info":"number node, value=3291","layer":4},{"info":"compute binary expreesion, left_input=5437, right_input=3291, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8728","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8728, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=2549","layer":4},{"info":"number node, value=2429","layer":4},{"info":"compute binary expreesion, left_input=2549, right_input=2429, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-120","layer":3},{"info":"number node, value=6866","layer":4},{"info":"number node, value=1495","layer":4},{"info":"compute binary expreesion, left_input=6866, right_input=1495, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8361","layer":3},{"info":"compute binary expreesion, left_input=-120, right_input=-8361, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-16477","layer":2},{"info":"number node, value=1440","layer":4},{"info":"compute unary expreesion, input=1440, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=7912","layer":4},{"info":"compute unary expreesion, input=7912, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, 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=-16477, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((↣≠⋷≮⫘↔1101001101010)⨐⩸⫘(≮⫘↔1010100111101⪒≮⫘↔110011011011))⊦⊿)≹⇙⪍(≮⫘↔100111110101⨳⩥⨓≮⫘↔100101111101⊭↱(≮⫘↔1101011010010⪒≮⫘↔10111010111)∲⫓(⫛⫱⨽≮⫘↔10110100000)∼(⊥≮⫘↔1111011101000))=NaN","reverse_text":"NaN=(((↣≠⋷≮⫘↔1101001101010)⨐⩸⫘(≮⫘↔1010100111101⪒≮⫘↔110011011011))⊦⊿)≹⇙⪍(≮⫘↔100111110101⨳⩥⨓≮⫘↔100101111101⊭↱(≮⫘↔1101011010010⪒≮⫘↔10111010111)∲⫓(⫛⫱⨽≮⫘↔10110100000)∼(⊥≮⫘↔1111011101000))","cot":[{"info":"↣≠⋷≮⫘↔1101001101010=NaN","layer":3},{"info":"≮⫘↔1010100111101⪒≮⫘↔110011011011=≮⫘↔-10001000011000","layer":3},{"info":"NaN⨐⩸⫘≮⫘↔-10001000011000=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"≮⫘↔100111110101⨳⩥⨓≮⫘↔100101111101=≮⫘↔-1111000","layer":3},{"info":"≮⫘↔1101011010010⪒≮⫘↔10111010111=≮⫘↔-10000010101001","layer":3},{"info":"≮⫘↔-1111000⊭↱≮⫘↔-10000010101001=≮⫘↔-100000001011101","layer":2},{"info":"⫛⫱⨽≮⫘↔10110100000=≮⫘↔0","layer":3},{"info":"⊥≮⫘↔1111011101000=NaN","layer":3},{"info":"≮⫘↔0∼NaN=NaN","layer":2},{"info":"≮⫘↔-100000001011101∲⫓NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":401,"expression_no_base_symbol":"((⨈⫕$1147$)%$1184$⋓$7918$/($1208$⩚⊴⇥$4412$)⨓$5649$⨪↰⇹$6909$)∧","expression":"((⨈⫕≮⫘↔10001111011)%≮⫘↔10010100000⋓≮⫘↔1111011101110/(≮⫘↔10010111000⩚⊴⇥≮⫘↔1000100111100)⨓≮⫘↔1011000010001⨪↰⇹≮⫘↔1101011111101)∧","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11716,"operation_count":8,"complexity_ratio":1464.5,"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":1147,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1184,"base":2},"right_expr":{"type":"numeric_atoms","value":7918,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1208,"base":2},"right_expr":{"type":"numeric_atoms","value":4412,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5649,"base":2},"right_expr":{"type":"numeric_atoms","value":6909,"base":2}}}}},"used_operators":["z63VuFQld9","XhwjNDsVaA","k8jYdgA6NY","megm06wKyl","T2fj7uvVaJ","3ViojmjbAp","NTOWxs364D","tmPS8pqC7x"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1147","layer":4},{"info":"compute unary expreesion, input=1147, 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=1184","layer":4},{"info":"number node, value=7918","layer":4},{"info":"compute binary expreesion, left_input=1184, right_input=7918, 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=-21, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1208","layer":4},{"info":"number node, value=4412","layer":4},{"info":"compute binary expreesion, left_input=1208, right_input=4412, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5741","layer":3},{"info":"number node, value=5649","layer":4},{"info":"number node, value=6909","layer":4},{"info":"compute binary expreesion, left_input=5649, right_input=6909, 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=5649","layer":3},{"info":"compute binary expreesion, left_input=-5741, right_input=5649, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5652","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5652, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"((⨈⫕≮⫘↔10001111011)%≮⫘↔10010100000⋓≮⫘↔1111011101110/(≮⫘↔10010111000⩚⊴⇥≮⫘↔1000100111100)⨓≮⫘↔1011000010001⨪↰⇹≮⫘↔1101011111101)∧=NaN","reverse_text":"NaN=((⨈⫕≮⫘↔10001111011)%≮⫘↔10010100000⋓≮⫘↔1111011101110/(≮⫘↔10010111000⩚⊴⇥≮⫘↔1000100111100)⨓≮⫘↔1011000010001⨪↰⇹≮⫘↔1101011111101)∧","cot":[{"info":"⨈⫕≮⫘↔10001111011=≮⫘↔-10101","layer":3},{"info":"≮⫘↔10010100000⋓≮⫘↔1111011101110=≮⫘↔0","layer":3},{"info":"≮⫘↔-10101%≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔10010111000⩚⊴⇥≮⫘↔1000100111100=≮⫘↔-1011001101101","layer":3},{"info":"≮⫘↔1011000010001⨪↰⇹≮⫘↔1101011111101=≮⫘↔1011000010001","layer":3},{"info":"≮⫘↔-1011001101101⨓≮⫘↔1011000010001=≮⫘↔-1011000010100","layer":2},{"info":"NaN/≮⫘↔-1011000010100=NaN","layer":1},{"info":"NaN∧=NaN","layer":0}]}
{"id":402,"expression_no_base_symbol":"(($6371$+$2472$)⋝⋈⪟($1923$⫩⊇))⇷($5224$⊘)⪛($1785$⪄$1479$)⫡⨏(↣≠⋷(($1485$⊘)↪⪝))","expression":"((≮⫘↔1100011100011+≮⫘↔100110101000)⋝⋈⪟(≮⫘↔11110000011⫩⊇))⇷(≮⫘↔1010001101000⊘)⪛(≮⫘↔11011111001⪄≮⫘↔10111000111)⫡⨏(↣≠⋷((≮⫘↔10111001101⊘)↪⪝))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":123966,"operation_count":11,"complexity_ratio":11269.636363636364,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6371,"base":2},"right_expr":{"type":"numeric_atoms","value":2472,"base":2}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1923,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":5224,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1785,"base":2},"right_expr":{"type":"numeric_atoms","value":1479,"base":2}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1485,"base":2}}}}},"used_operators":["QMFrweE19q","mp7IySMOzn","2DDjHMKMc0","W4YGzv6Whe","BjRHVeLaeN","uFcxV4UQCh","gu96TGCTMs","SUmda5xLS4","Asc51vEJeQ","l07mrZUIn9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6371","layer":4},{"info":"number node, value=2472","layer":4},{"info":"compute binary expreesion, left_input=6371, right_input=2472, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8843","layer":3},{"info":"number node, value=1923","layer":4},{"info":"compute unary expreesion, input=1923, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1881","layer":3},{"info":"compute binary expreesion, left_input=8843, right_input=-1881, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=8843","layer":2},{"info":"number node, value=5224","layer":4},{"info":"compute unary expreesion, input=5224, 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=1785","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=1785, right_input=1479, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-266185","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-266185, 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=8843, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":1},{"info":"number node, value=1485","layer":4},{"info":"compute unary expreesion, input=1485, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, 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 = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1100011100011+≮⫘↔100110101000)⋝⋈⪟(≮⫘↔11110000011⫩⊇))⇷(≮⫘↔1010001101000⊘)⪛(≮⫘↔11011111001⪄≮⫘↔10111000111)⫡⨏(↣≠⋷((≮⫘↔10111001101⊘)↪⪝))=NaN","reverse_text":"NaN=((≮⫘↔1100011100011+≮⫘↔100110101000)⋝⋈⪟(≮⫘↔11110000011⫩⊇))⇷(≮⫘↔1010001101000⊘)⪛(≮⫘↔11011111001⪄≮⫘↔10111000111)⫡⨏(↣≠⋷((≮⫘↔10111001101⊘)↪⪝))","cot":[{"info":"≮⫘↔1100011100011+≮⫘↔100110101000=≮⫘↔10001010001011","layer":3},{"info":"≮⫘↔11110000011⫩⊇=≮⫘↔-11101011001","layer":3},{"info":"≮⫘↔10001010001011⋝⋈⪟≮⫘↔-11101011001=≮⫘↔10001010001011","layer":2},{"info":"≮⫘↔1010001101000⊘=≮⫘↔0","layer":3},{"info":"≮⫘↔11011111001⪄≮⫘↔10111000111=≮⫘↔-1000000111111001001","layer":3},{"info":"≮⫘↔0⪛≮⫘↔-1000000111111001001=≮⫘↔0","layer":2},{"info":"≮⫘↔10001010001011⇷≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔10111001101⊘=≮⫘↔0","layer":3},{"info":"≮⫘↔0↪⪝=≮⫘↔0","layer":2},{"info":"↣≠⋷≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔0⫡⨏NaN=NaN","layer":0}]}
{"id":403,"expression_no_base_symbol":"(($6281$⨽$4010$)∀⇚≩($2047$+⇶⊼$2872$)⨐⩸⫘((↩$1010$)↺(∂$8028$)))⨎($2376$⇼⇔∾$1885$⊭↱$2130$+⇶⊼$4272$)⩷∴(($5793$-$5725$)+⇶⊼($1968$⪄$1804$))","expression":"((≮⫘↔1100010001001⨽≮⫘↔111110101010)∀⇚≩(≮⫘↔11111111111+⇶⊼≮⫘↔101100111000)⨐⩸⫘((↩≮⫘↔1111110010)↺(∂≮⫘↔1111101011100)))⨎(≮⫘↔100101001000⇼⇔∾≮⫘↔11101011101⊭↱≮⫘↔100001010010+⇶⊼≮⫘↔1000010110000)⩷∴((≮⫘↔1011010100001-≮⫘↔1011001011101)+⇶⊼(≮⫘↔11110110000⪄≮⫘↔11100001100))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6425,"operation_count":15,"complexity_ratio":428.3333333333333,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6281,"base":2},"right_expr":{"type":"numeric_atoms","value":4010,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2047,"base":2},"right_expr":{"type":"numeric_atoms","value":2872,"base":2}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1010,"base":2}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":8028,"base":2}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2376,"base":2},"right_expr":{"type":"numeric_atoms","value":1885,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2130,"base":2},"right_expr":{"type":"numeric_atoms","value":4272,"base":2}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5793,"base":2},"right_expr":{"type":"numeric_atoms","value":5725,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1968,"base":2},"right_expr":{"type":"numeric_atoms","value":1804,"base":2}}}}},"used_operators":["rJVOvQCfKK","fu6greOZ01","LRNGc0VcxI","8HhzD0ZcuI","TpPTUOHfaN","7j4O788W3g","jLgFTUHLKL","Uaa54Peajs","9FxExcQeMw","COABgblf1C","tifHPKVTfV","rysDP5nf3Z","SUmda5xLS4"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp","X99M06cbEe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6281","layer":4},{"info":"number node, value=4010","layer":4},{"info":"compute binary expreesion, left_input=6281, right_input=4010, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-118363599","layer":3},{"info":"number node, value=2047","layer":4},{"info":"number node, value=2872","layer":4},{"info":"compute binary expreesion, left_input=2047, right_input=2872, 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=-118363599, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1010","layer":4},{"info":"compute unary expreesion, input=1010, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5300","layer":3},{"info":"number node, value=8028","layer":4},{"info":"compute unary expreesion, input=8028, 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=-5300, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute 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":"number node, value=2376","layer":4},{"info":"number node, value=1885","layer":4},{"info":"compute binary expreesion, left_input=2376, right_input=1885, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-491","layer":3},{"info":"number node, value=2130","layer":4},{"info":"number node, value=4272","layer":4},{"info":"compute binary expreesion, left_input=2130, right_input=4272, 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=-491, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=5793","layer":4},{"info":"number node, value=5725","layer":4},{"info":"compute binary expreesion, left_input=5793, right_input=5725, op_id = rysDP5nf3Z binary_op_definition= 'None', output=68","layer":3},{"info":"number node, value=1968","layer":4},{"info":"number node, value=1804","layer":4},{"info":"compute binary expreesion, left_input=1968, right_input=1804, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-294569","layer":3},{"info":"compute binary expreesion, left_input=68, right_input=-294569, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1100010001001⨽≮⫘↔111110101010)∀⇚≩(≮⫘↔11111111111+⇶⊼≮⫘↔101100111000)⨐⩸⫘((↩≮⫘↔1111110010)↺(∂≮⫘↔1111101011100)))⨎(≮⫘↔100101001000⇼⇔∾≮⫘↔11101011101⊭↱≮⫘↔100001010010+⇶⊼≮⫘↔1000010110000)⩷∴((≮⫘↔1011010100001-≮⫘↔1011001011101)+⇶⊼(≮⫘↔11110110000⪄≮⫘↔11100001100))=NaN","reverse_text":"NaN=((≮⫘↔1100010001001⨽≮⫘↔111110101010)∀⇚≩(≮⫘↔11111111111+⇶⊼≮⫘↔101100111000)⨐⩸⫘((↩≮⫘↔1111110010)↺(∂≮⫘↔1111101011100)))⨎(≮⫘↔100101001000⇼⇔∾≮⫘↔11101011101⊭↱≮⫘↔100001010010+⇶⊼≮⫘↔1000010110000)⩷∴((≮⫘↔1011010100001-≮⫘↔1011001011101)+⇶⊼(≮⫘↔11110110000⪄≮⫘↔11100001100))","cot":[{"info":"≮⫘↔1100010001001⨽≮⫘↔111110101010=≮⫘↔-111000011100001010111001111","layer":3},{"info":"≮⫘↔11111111111+⇶⊼≮⫘↔101100111000=NaN","layer":3},{"info":"≮⫘↔-111000011100001010111001111∀⇚≩NaN=NaN","layer":2},{"info":"↩≮⫘↔1111110010=≮⫘↔-1010010110100","layer":3},{"info":"∂≮⫘↔1111101011100=NaN","layer":3},{"info":"≮⫘↔-1010010110100↺NaN=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"≮⫘↔100101001000⇼⇔∾≮⫘↔11101011101=≮⫘↔-111101011","layer":3},{"info":"≮⫘↔100001010010+⇶⊼≮⫘↔1000010110000=NaN","layer":3},{"info":"≮⫘↔-111101011⊭↱NaN=NaN","layer":2},{"info":"≮⫘↔1011010100001-≮⫘↔1011001011101=≮⫘↔1000100","layer":3},{"info":"≮⫘↔11110110000⪄≮⫘↔11100001100=≮⫘↔-1000111111010101001","layer":3},{"info":"≮⫘↔1000100+⇶⊼≮⫘↔-1000111111010101001=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":404,"expression_no_base_symbol":"((≉($9355$⨵⪆$3237$))⪨≂($4743$⨵⪆$2194$)⋓$1243$↬$1070$)⪒(($1581$≦≮≮)⇼⇔∾($1927$⊘))⋥≓≎(+⊝⨔(↔$1487$))","expression":"((≉(≮⫘↔10010010001011⨵⪆≮⫘↔110010100101))⪨≂(≮⫘↔1001010000111⨵⪆≮⫘↔100010010010)⋓≮⫘↔10011011011↬≮⫘↔10000101110)⪒((≮⫘↔11000101101≦≮≮)⇼⇔∾(≮⫘↔11110000111⊘))⋥≓≎(+⊝⨔(↔≮⫘↔10111001111))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":81,"operation_count":13,"complexity_ratio":6.230769230769231,"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":9355,"base":2},"right_expr":{"type":"numeric_atoms","value":3237,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4743,"base":2},"right_expr":{"type":"numeric_atoms","value":2194,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1243,"base":2},"right_expr":{"type":"numeric_atoms","value":1070,"base":2}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1581,"base":2}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1927,"base":2}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1487,"base":2}}}}},"used_operators":["f6k1SAg4EE","sdazOOVcIp","e1ybzncUwg","2DQ55sFlQl","T2fj7uvVaJ","B5M0gjZbta","Qy55tPpLXF","tifHPKVTfV","D4vGDi5EA2","gu96TGCTMs","DhbWaqg5eL","ruOEQAzv1W"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=9355","layer":4},{"info":"number node, value=3237","layer":4},{"info":"compute binary expreesion, left_input=9355, right_input=3237, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=691","layer":2},{"info":"number node, value=4743","layer":4},{"info":"number node, value=2194","layer":4},{"info":"compute binary expreesion, left_input=4743, right_input=2194, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1243","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=1070, 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 = 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=691, 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":"number node, value=1581","layer":4},{"info":"compute unary expreesion, input=1581, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4743","layer":3},{"info":"number node, value=1927","layer":4},{"info":"compute unary expreesion, input=1927, 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=-4743, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4743","layer":2},{"info":"number node, value=1487","layer":4},{"info":"compute unary expreesion, input=1487, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1214","layer":3},{"info":"compute unary expreesion, input=-1214, 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=4743, right_input=1522, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1666","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1666, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≉(≮⫘↔10010010001011⨵⪆≮⫘↔110010100101))⪨≂(≮⫘↔1001010000111⨵⪆≮⫘↔100010010010)⋓≮⫘↔10011011011↬≮⫘↔10000101110)⪒((≮⫘↔11000101101≦≮≮)⇼⇔∾(≮⫘↔11110000111⊘))⋥≓≎(+⊝⨔(↔≮⫘↔10111001111))=NaN","reverse_text":"NaN=((≉(≮⫘↔10010010001011⨵⪆≮⫘↔110010100101))⪨≂(≮⫘↔1001010000111⨵⪆≮⫘↔100010010010)⋓≮⫘↔10011011011↬≮⫘↔10000101110)⪒((≮⫘↔11000101101≦≮≮)⇼⇔∾(≮⫘↔11110000111⊘))⋥≓≎(+⊝⨔(↔≮⫘↔10111001111))","cot":[{"info":"≮⫘↔10010010001011⨵⪆≮⫘↔110010100101=≮⫘↔10100000","layer":3},{"info":"≉≮⫘↔10100000=≮⫘↔1010110011","layer":2},{"info":"≮⫘↔1001010000111⨵⪆≮⫘↔100010010010=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10011011011↬≮⫘↔10000101110=NaN","layer":3},{"info":"≮⫘↔10100000⋓NaN=NaN","layer":2},{"info":"≮⫘↔1010110011⪨≂NaN=NaN","layer":1},{"info":"≮⫘↔11000101101≦≮≮=≮⫘↔-1001010000111","layer":3},{"info":"≮⫘↔11110000111⊘=≮⫘↔0","layer":3},{"info":"≮⫘↔-1001010000111⇼⇔∾≮⫘↔0=≮⫘↔1001010000111","layer":2},{"info":"↔≮⫘↔10111001111=≮⫘↔-10010111110","layer":3},{"info":"+⊝⨔≮⫘↔-10010111110=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔1001010000111⋥≓≎≮⫘↔10111110010=≮⫘↔-11010000010","layer":1},{"info":"NaN⪒≮⫘↔-11010000010=NaN","layer":0}]}
{"id":405,"expression_no_base_symbol":"($4166$⋓$3489$⫥∨⫟$2374$⪮%⊝$6295$↺($6085$⪮%⊝$2211$⫡⨏$6617$⊭↱$5207$))∼((($2451$-$2012$)⨸⪁$6412$⪢$2882$)⋥≓≎($1465$⪮%⊝$5280$↙$1773$⨎$1940$))","expression":"(≮⫘↔1000001000110⋓≮⫘↔110110100001⫥∨⫟≮⫘↔100101000110⪮%⊝≮⫘↔1100010010111↺(≮⫘↔1011111000101⪮%⊝≮⫘↔100010100011⫡⨏≮⫘↔1100111011001⊭↱≮⫘↔1010001010111))∼(((≮⫘↔100110010011-≮⫘↔11111011100)⨸⪁≮⫘↔1100100001100⪢≮⫘↔101101000010)⋥≓≎(≮⫘↔10110111001⪮%⊝≮⫘↔1010010100000↙≮⫘↔11011101101⨎≮⫘↔11110010100))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8811,"operation_count":15,"complexity_ratio":587.4,"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":4166,"base":2},"right_expr":{"type":"numeric_atoms","value":3489,"base":2}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2374,"base":2},"right_expr":{"type":"numeric_atoms","value":6295,"base":2}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6085,"base":2},"right_expr":{"type":"numeric_atoms","value":2211,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6617,"base":2},"right_expr":{"type":"numeric_atoms","value":5207,"base":2}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2451,"base":2},"right_expr":{"type":"numeric_atoms","value":2012,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6412,"base":2},"right_expr":{"type":"numeric_atoms","value":2882,"base":2}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1465,"base":2},"right_expr":{"type":"numeric_atoms","value":5280,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1773,"base":2},"right_expr":{"type":"numeric_atoms","value":1940,"base":2}}}}},"used_operators":["DyGG3AbaNP","7j4O788W3g","KYD54nUTWz","T2fj7uvVaJ","IWmyXbctLI","QMFrweE19q","COABgblf1C","Qy55tPpLXF","g55IO6H4Gj","rysDP5nf3Z","dWAJyo7jo9","yyfyN0ffXY","rJVOvQCfKK"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4166","layer":4},{"info":"number node, value=3489","layer":4},{"info":"compute binary expreesion, left_input=4166, right_input=3489, 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=2374","layer":4},{"info":"number node, value=6295","layer":4},{"info":"compute binary expreesion, left_input=2374, right_input=6295, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5064","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5064, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=6085","layer":4},{"info":"number node, value=2211","layer":4},{"info":"compute binary expreesion, left_input=6085, right_input=2211, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12486","layer":3},{"info":"number node, value=6617","layer":4},{"info":"number node, value=5207","layer":4},{"info":"compute binary expreesion, left_input=6617, right_input=5207, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2815","layer":3},{"info":"compute binary expreesion, left_input=12486, right_input=-2815, 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=57583","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=57583, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=57583","layer":1},{"info":"number node, value=2451","layer":4},{"info":"number node, value=2012","layer":4},{"info":"compute binary expreesion, left_input=2451, right_input=2012, op_id = rysDP5nf3Z binary_op_definition= 'None', output=439","layer":3},{"info":"number node, value=6412","layer":4},{"info":"number node, value=2882","layer":4},{"info":"compute binary expreesion, left_input=6412, right_input=2882, 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=439, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=1465","layer":4},{"info":"number node, value=5280","layer":4},{"info":"compute binary expreesion, left_input=1465, right_input=5280, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3246","layer":3},{"info":"number node, value=1773","layer":4},{"info":"number node, value=1940","layer":4},{"info":"compute binary expreesion, left_input=1773, right_input=1940, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1940","layer":3},{"info":"compute binary expreesion, left_input=3246, right_input=1940, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5820","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5820, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=57583, right_input=67, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1000001000110⋓≮⫘↔110110100001⫥∨⫟≮⫘↔100101000110⪮%⊝≮⫘↔1100010010111↺(≮⫘↔1011111000101⪮%⊝≮⫘↔100010100011⫡⨏≮⫘↔1100111011001⊭↱≮⫘↔1010001010111))∼(((≮⫘↔100110010011-≮⫘↔11111011100)⨸⪁≮⫘↔1100100001100⪢≮⫘↔101101000010)⋥≓≎(≮⫘↔10110111001⪮%⊝≮⫘↔1010010100000↙≮⫘↔11011101101⨎≮⫘↔11110010100))=≮⫘↔0","reverse_text":"≮⫘↔0=(≮⫘↔1000001000110⋓≮⫘↔110110100001⫥∨⫟≮⫘↔100101000110⪮%⊝≮⫘↔1100010010111↺(≮⫘↔1011111000101⪮%⊝≮⫘↔100010100011⫡⨏≮⫘↔1100111011001⊭↱≮⫘↔1010001010111))∼(((≮⫘↔100110010011-≮⫘↔11111011100)⨸⪁≮⫘↔1100100001100⪢≮⫘↔101101000010)⋥≓≎(≮⫘↔10110111001⪮%⊝≮⫘↔1010010100000↙≮⫘↔11011101101⨎≮⫘↔11110010100))","cot":[{"info":"≮⫘↔1000001000110⋓≮⫘↔110110100001=≮⫘↔0","layer":3},{"info":"≮⫘↔100101000110⪮%⊝≮⫘↔1100010010111=≮⫘↔1001111001000","layer":3},{"info":"≮⫘↔0⫥∨⫟≮⫘↔1001111001000=NaN","layer":2},{"info":"≮⫘↔1011111000101⪮%⊝≮⫘↔100010100011=≮⫘↔11000011000110","layer":3},{"info":"≮⫘↔1100111011001⊭↱≮⫘↔1010001010111=≮⫘↔-101011111111","layer":3},{"info":"≮⫘↔11000011000110⫡⨏≮⫘↔-101011111111=≮⫘↔1110000011101111","layer":2},{"info":"NaN↺≮⫘↔1110000011101111=≮⫘↔1110000011101111","layer":1},{"info":"≮⫘↔100110010011-≮⫘↔11111011100=≮⫘↔110110111","layer":3},{"info":"≮⫘↔1100100001100⪢≮⫘↔101101000010=NaN","layer":3},{"info":"≮⫘↔110110111⨸⪁NaN=NaN","layer":2},{"info":"≮⫘↔10110111001⪮%⊝≮⫘↔1010010100000=≮⫘↔110010101110","layer":3},{"info":"≮⫘↔11011101101⨎≮⫘↔11110010100=≮⫘↔11110010100","layer":3},{"info":"≮⫘↔110010101110↙≮⫘↔11110010100=≮⫘↔-1011010111100","layer":2},{"info":"NaN⋥≓≎≮⫘↔-1011010111100=≮⫘↔1000011","layer":1},{"info":"≮⫘↔1110000011101111∼≮⫘↔1000011=≮⫘↔0","layer":0}]}
{"id":406,"expression_no_base_symbol":"(($1021$⊉≛↸$2386$)⋓$1640$≹⇙⪍$2305$⨸⪁($2123$⋥≓≎$1499$/(+⊝⨔$1110$)))⊪","expression":"((≮⫘↔1111111101⊉≛↸≮⫘↔100101010010)⋓≮⫘↔11001101000≹⇙⪍≮⫘↔100100000001⨸⪁(≮⫘↔100001001011⋥≓≎≮⫘↔10111011011/(+⊝⨔≮⫘↔10001010110)))⊪","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":77,"operation_count":8,"complexity_ratio":9.625,"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":1021,"base":2},"right_expr":{"type":"numeric_atoms","value":2386,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1640,"base":2},"right_expr":{"type":"numeric_atoms","value":2305,"base":2}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2123,"base":2},"right_expr":{"type":"numeric_atoms","value":1499,"base":2}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1110,"base":2}}}}},"used_operators":["zVYPLywUTj","g55IO6H4Gj","T2fj7uvVaJ","DZ8iAZOCBD","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","DhbWaqg5eL"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1021","layer":4},{"info":"number node, value=2386","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=2386, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2042","layer":3},{"info":"number node, value=1640","layer":4},{"info":"number node, value=2305","layer":4},{"info":"compute binary expreesion, left_input=1640, right_input=2305, 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=2042, 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":"number node, value=2123","layer":4},{"info":"number node, value=1499","layer":4},{"info":"compute binary expreesion, left_input=2123, right_input=1499, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=908","layer":3},{"info":"number node, value=1110","layer":4},{"info":"compute unary expreesion, input=1110, 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=908, right_input=1522, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, 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=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1111111101⊉≛↸≮⫘↔100101010010)⋓≮⫘↔11001101000≹⇙⪍≮⫘↔100100000001⨸⪁(≮⫘↔100001001011⋥≓≎≮⫘↔10111011011/(+⊝⨔≮⫘↔10001010110)))⊪=NaN","reverse_text":"NaN=((≮⫘↔1111111101⊉≛↸≮⫘↔100101010010)⋓≮⫘↔11001101000≹⇙⪍≮⫘↔100100000001⨸⪁(≮⫘↔100001001011⋥≓≎≮⫘↔10111011011/(+⊝⨔≮⫘↔10001010110)))⊪","cot":[{"info":"≮⫘↔1111111101⊉≛↸≮⫘↔100101010010=≮⫘↔11111111010","layer":3},{"info":"≮⫘↔11001101000≹⇙⪍≮⫘↔100100000001=NaN","layer":3},{"info":"≮⫘↔11111111010⋓NaN=NaN","layer":2},{"info":"≮⫘↔100001001011⋥≓≎≮⫘↔10111011011=≮⫘↔1110001100","layer":3},{"info":"+⊝⨔≮⫘↔10001010110=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔1110001100/≮⫘↔10111110010=≮⫘↔0","layer":2},{"info":"NaN⨸⪁≮⫘↔0=NaN","layer":1},{"info":"NaN⊪=NaN","layer":0}]}
{"id":407,"expression_no_base_symbol":"(($1915$∲⫓$6327$)⪢$1873$≹⇙⪍$2004$⨸⪁((↣≠⋷$7525$)↪⪝))∼(($5031$⩷∴$2463$⫌⩹⨱)↬($4470$⪄$3646$⪨≂$3286$⪮%⊝$6353$))","expression":"((≮⫘↔11101111011∲⫓≮⫘↔1100010110111)⪢≮⫘↔11101010001≹⇙⪍≮⫘↔11111010100⨸⪁((↣≠⋷≮⫘↔1110101100101)↪⪝))∼((≮⫘↔1001110100111⩷∴≮⫘↔100110011111⫌⩹⨱)↬(≮⫘↔1000101110110⪄≮⫘↔111000111110⪨≂≮⫘↔110011010110⪮%⊝≮⫘↔1100011010001))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":141,"operation_count":13,"complexity_ratio":10.846153846153847,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1915,"base":2},"right_expr":{"type":"numeric_atoms","value":6327,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1873,"base":2},"right_expr":{"type":"numeric_atoms","value":2004,"base":2}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":7525,"base":2}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5031,"base":2},"right_expr":{"type":"numeric_atoms","value":2463,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4470,"base":2},"right_expr":{"type":"numeric_atoms","value":3646,"base":2}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3286,"base":2},"right_expr":{"type":"numeric_atoms","value":6353,"base":2}}}}},"used_operators":["DyGG3AbaNP","g55IO6H4Gj","dWAJyo7jo9","i8ToyICDmI","AHs5Up7iyr","l07mrZUIn9","Asc51vEJeQ","B5M0gjZbta","EBcxylXtPf","9FxExcQeMw","sdazOOVcIp","SUmda5xLS4","IWmyXbctLI"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","9HNa5Wba9A","2DDjHMKMc0","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1915","layer":4},{"info":"number node, value=6327","layer":4},{"info":"compute binary expreesion, left_input=1915, right_input=6327, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1873","layer":4},{"info":"number node, value=2004","layer":4},{"info":"compute binary expreesion, left_input=1873, right_input=2004, 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 = 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=7525","layer":4},{"info":"compute unary expreesion, input=7525, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":2},{"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":1},{"info":"number node, value=5031","layer":4},{"info":"number node, value=2463","layer":4},{"info":"compute binary expreesion, left_input=5031, right_input=2463, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5104","layer":3},{"info":"compute unary expreesion, input=5104, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=11609","layer":2},{"info":"number node, value=4470","layer":4},{"info":"number node, value=3646","layer":4},{"info":"compute binary expreesion, left_input=4470, right_input=3646, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-672233","layer":3},{"info":"number node, value=3286","layer":4},{"info":"number node, value=6353","layer":4},{"info":"compute binary expreesion, left_input=3286, right_input=6353, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6888","layer":3},{"info":"compute binary expreesion, left_input=-672233, right_input=6888, 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=-1358140","layer":2},{"info":"compute binary expreesion, left_input=11609, right_input=-1358140, 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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11101111011∲⫓≮⫘↔1100010110111)⪢≮⫘↔11101010001≹⇙⪍≮⫘↔11111010100⨸⪁((↣≠⋷≮⫘↔1110101100101)↪⪝))∼((≮⫘↔1001110100111⩷∴≮⫘↔100110011111⫌⩹⨱)↬(≮⫘↔1000101110110⪄≮⫘↔111000111110⪨≂≮⫘↔110011010110⪮%⊝≮⫘↔1100011010001))=NaN","reverse_text":"NaN=((≮⫘↔11101111011∲⫓≮⫘↔1100010110111)⪢≮⫘↔11101010001≹⇙⪍≮⫘↔11111010100⨸⪁((↣≠⋷≮⫘↔1110101100101)↪⪝))∼((≮⫘↔1001110100111⩷∴≮⫘↔100110011111⫌⩹⨱)↬(≮⫘↔1000101110110⪄≮⫘↔111000111110⪨≂≮⫘↔110011010110⪮%⊝≮⫘↔1100011010001))","cot":[{"info":"≮⫘↔11101111011∲⫓≮⫘↔1100010110111=≮⫘↔0","layer":3},{"info":"≮⫘↔11101010001≹⇙⪍≮⫘↔11111010100=NaN","layer":3},{"info":"≮⫘↔0⪢NaN=NaN","layer":2},{"info":"↣≠⋷≮⫘↔1110101100101=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"≮⫘↔1001110100111⩷∴≮⫘↔100110011111=≮⫘↔1001111110000","layer":3},{"info":"≮⫘↔1001111110000⫌⩹⨱=≮⫘↔10110101011001","layer":2},{"info":"≮⫘↔1000101110110⪄≮⫘↔111000111110=≮⫘↔-10100100000111101001","layer":3},{"info":"≮⫘↔110011010110⪮%⊝≮⫘↔1100011010001=≮⫘↔1101011101000","layer":3},{"info":"≮⫘↔-10100100000111101001⪨≂≮⫘↔1101011101000=≮⫘↔-101001011100100111100","layer":2},{"info":"≮⫘↔10110101011001↬≮⫘↔-101001011100100111100=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":408,"expression_no_base_symbol":"($1011$⪨≂$1072$)⇷($2581$⨽$2384$)⋷$2876$↬$1395$≧⫂∧($1496$⨰$2987$)+(($2793$⩤)⋫)⨓(($2092$⨸⪁$4082$)⋫)","expression":"(≮⫘↔1111110011⪨≂≮⫘↔10000110000)⇷(≮⫘↔101000010101⨽≮⫘↔100101010000)⋷≮⫘↔101100111100↬≮⫘↔10101110011≧⫂∧(≮⫘↔10111011000⨰≮⫘↔101110101011)+((≮⫘↔101011101001⩤)⋫)⨓((≮⫘↔100000101100⨸⪁≮⫘↔111111110010)⋫)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":30394,"operation_count":13,"complexity_ratio":2338.0,"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":1011,"base":2},"right_expr":{"type":"numeric_atoms","value":1072,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2581,"base":2},"right_expr":{"type":"numeric_atoms","value":2384,"base":2}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2876,"base":2},"right_expr":{"type":"numeric_atoms","value":1395,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1496,"base":2},"right_expr":{"type":"numeric_atoms","value":2987,"base":2}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2793,"base":2}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2092,"base":2},"right_expr":{"type":"numeric_atoms","value":4082,"base":2}}}}},"used_operators":["W4YGzv6Whe","23Mk6UjR3U","mp7IySMOzn","sdazOOVcIp","8HhzD0ZcuI","Ph9nP6C5qx","B5M0gjZbta","eewbuw0ToL","3ViojmjbAp","JL8yIekQnl","Z2TMIBDE3Q","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1011","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=1072, 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=-20","layer":3},{"info":"number node, value=2581","layer":4},{"info":"number node, value=2384","layer":4},{"info":"compute binary expreesion, left_input=2581, right_input=2384, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-19990521","layer":3},{"info":"compute binary expreesion, left_input=-20, right_input=-19990521, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=2876","layer":4},{"info":"number node, value=1395","layer":4},{"info":"compute binary expreesion, left_input=2876, right_input=1395, 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=1496","layer":4},{"info":"number node, value=2987","layer":4},{"info":"compute binary expreesion, left_input=1496, right_input=2987, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1481","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1481, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=2793","layer":4},{"info":"compute unary expreesion, input=2793, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2793","layer":3},{"info":"compute unary expreesion, input=-2793, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2793","layer":2},{"info":"number node, value=2092","layer":4},{"info":"number node, value=4082","layer":4},{"info":"compute binary expreesion, left_input=2092, right_input=4082, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12348","layer":3},{"info":"compute unary expreesion, input=12348, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=12348","layer":2},{"info":"compute binary expreesion, left_input=2793, right_input=12348, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-12351","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-12351, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1111110011⪨≂≮⫘↔10000110000)⇷(≮⫘↔101000010101⨽≮⫘↔100101010000)⋷≮⫘↔101100111100↬≮⫘↔10101110011≧⫂∧(≮⫘↔10111011000⨰≮⫘↔101110101011)+((≮⫘↔101011101001⩤)⋫)⨓((≮⫘↔100000101100⨸⪁≮⫘↔111111110010)⋫)=NaN","reverse_text":"NaN=(≮⫘↔1111110011⪨≂≮⫘↔10000110000)⇷(≮⫘↔101000010101⨽≮⫘↔100101010000)⋷≮⫘↔101100111100↬≮⫘↔10101110011≧⫂∧(≮⫘↔10111011000⨰≮⫘↔101110101011)+((≮⫘↔101011101001⩤)⋫)⨓((≮⫘↔100000101100⨸⪁≮⫘↔111111110010)⋫)","cot":[{"info":"≮⫘↔1111110011⪨≂≮⫘↔10000110000=≮⫘↔-10100","layer":3},{"info":"≮⫘↔101000010101⨽≮⫘↔100101010000=≮⫘↔-1001100010000011111111001","layer":3},{"info":"≮⫘↔-10100⇷≮⫘↔-1001100010000011111111001=NaN","layer":2},{"info":"≮⫘↔101100111100↬≮⫘↔10101110011=NaN","layer":3},{"info":"≮⫘↔10111011000⨰≮⫘↔101110101011=≮⫘↔-10111001001","layer":3},{"info":"NaN≧⫂∧≮⫘↔-10111001001=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"≮⫘↔101011101001⩤=≮⫘↔-101011101001","layer":3},{"info":"≮⫘↔-101011101001⋫=≮⫘↔101011101001","layer":2},{"info":"≮⫘↔100000101100⨸⪁≮⫘↔111111110010=≮⫘↔11000000111100","layer":3},{"info":"≮⫘↔11000000111100⋫=≮⫘↔11000000111100","layer":2},{"info":"≮⫘↔101011101001⨓≮⫘↔11000000111100=≮⫘↔-11000000111111","layer":1},{"info":"NaN+≮⫘↔-11000000111111=NaN","layer":0}]}
{"id":409,"expression_no_base_symbol":"(⊙↵-(⨈⫕($4161$+$2203$)))⩷∴((∥⊫$4098$)≧⫂∧$4584$⪛$5004$⨵⪆(-$2564$)⇼⇔∾($2312$⪨≂$1386$))","expression":"(⊙↵-(⨈⫕(≮⫘↔1000001000001+≮⫘↔100010011011)))⩷∴((∥⊫≮⫘↔1000000000010)≧⫂∧≮⫘↔1000111101000⪛≮⫘↔1001110001100⨵⪆(-≮⫘↔101000000100)⇼⇔∾(≮⫘↔100100001000⪨≂≮⫘↔10101101010))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":458,"operation_count":11,"complexity_ratio":41.63636363636363,"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":4161,"base":2},"right_expr":{"type":"numeric_atoms","value":2203,"base":2}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4098,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4584,"base":2},"right_expr":{"type":"numeric_atoms","value":5004,"base":2}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2564,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2312,"base":2},"right_expr":{"type":"numeric_atoms","value":1386,"base":2}}}}},"used_operators":["9FxExcQeMw","oWn0xqSxBt","megm06wKyl","W4YGzv6Whe","2DQ55sFlQl","Ph9nP6C5qx","P8v4zCKN1o","uFcxV4UQCh","tifHPKVTfV","t8gj7n24qd","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-101100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4161","layer":4},{"info":"number node, value=2203","layer":4},{"info":"compute binary expreesion, left_input=4161, right_input=2203, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6364","layer":3},{"info":"compute unary expreesion, input=6364, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"number node, value=4098","layer":4},{"info":"compute unary expreesion, input=4098, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4966","layer":3},{"info":"number node, value=4584","layer":4},{"info":"number node, value=5004","layer":4},{"info":"compute binary expreesion, left_input=4584, right_input=5004, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4584","layer":3},{"info":"compute binary expreesion, left_input=4966, right_input=4584, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4111","layer":2},{"info":"number node, value=2564","layer":4},{"info":"compute unary expreesion, input=2564, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2564","layer":3},{"info":"number node, value=2312","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=2312, right_input=1386, 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=1954","layer":3},{"info":"compute binary expreesion, left_input=-2564, right_input=1954, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4518","layer":2},{"info":"compute binary expreesion, left_input=4111, right_input=4518, 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=0, right_input=160, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-352","layer":0}],"base":2,"result_base":2,"text":"(⊙↵-(⨈⫕(≮⫘↔1000001000001+≮⫘↔100010011011)))⩷∴((∥⊫≮⫘↔1000000000010)≧⫂∧≮⫘↔1000111101000⪛≮⫘↔1001110001100⨵⪆(-≮⫘↔101000000100)⇼⇔∾(≮⫘↔100100001000⪨≂≮⫘↔10101101010))=≮⫘↔-101100000","reverse_text":"≮⫘↔-101100000=(⊙↵-(⨈⫕(≮⫘↔1000001000001+≮⫘↔100010011011)))⩷∴((∥⊫≮⫘↔1000000000010)≧⫂∧≮⫘↔1000111101000⪛≮⫘↔1001110001100⨵⪆(-≮⫘↔101000000100)⇼⇔∾(≮⫘↔100100001000⪨≂≮⫘↔10101101010))","cot":[{"info":"≮⫘↔1000001000001+≮⫘↔100010011011=≮⫘↔1100011011100","layer":3},{"info":"⨈⫕≮⫘↔1100011011100=≮⫘↔-10101","layer":2},{"info":"⊙↵-≮⫘↔-10101=≮⫘↔0","layer":1},{"info":"∥⊫≮⫘↔1000000000010=≮⫘↔1001101100110","layer":3},{"info":"≮⫘↔1000111101000⪛≮⫘↔1001110001100=≮⫘↔1000111101000","layer":3},{"info":"≮⫘↔1001101100110≧⫂∧≮⫘↔1000111101000=≮⫘↔1000000001111","layer":2},{"info":"-≮⫘↔101000000100=≮⫘↔-101000000100","layer":3},{"info":"≮⫘↔100100001000⪨≂≮⫘↔10101101010=≮⫘↔11110100010","layer":3},{"info":"≮⫘↔-101000000100⇼⇔∾≮⫘↔11110100010=≮⫘↔1000110100110","layer":2},{"info":"≮⫘↔1000000001111⨵⪆≮⫘↔1000110100110=≮⫘↔10100000","layer":1},{"info":"≮⫘↔0⩷∴≮⫘↔10100000=≮⫘↔-101100000","layer":0}]}
{"id":410,"expression_no_base_symbol":"(($3740$⨳⩥⨓$5111$)⪮%⊝($4970$⋓$1417$)-(↔(∂$3150$)))⩚⊴⇥((⨑⩽⪐($3921$⪨≂$1666$))⩨((↩$3097$)+$5473$⊭↱$1752$))","expression":"((≮⫘↔111010011100⨳⩥⨓≮⫘↔1001111110111)⪮%⊝(≮⫘↔1001101101010⋓≮⫘↔10110001001)-(↔(∂≮⫘↔110001001110)))⩚⊴⇥((⨑⩽⪐(≮⫘↔111101010001⪨≂≮⫘↔11010000010))⩨((↩≮⫘↔110000011001)+≮⫘↔1010101100001⊭↱≮⫘↔11011011000))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":93,"operation_count":13,"complexity_ratio":7.153846153846154,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3740,"base":2},"right_expr":{"type":"numeric_atoms","value":5111,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4970,"base":2},"right_expr":{"type":"numeric_atoms","value":1417,"base":2}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3150,"base":2}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3921,"base":2},"right_expr":{"type":"numeric_atoms","value":1666,"base":2}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3097,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5473,"base":2},"right_expr":{"type":"numeric_atoms","value":1752,"base":2}}}}},"used_operators":["NTOWxs364D","rysDP5nf3Z","IWmyXbctLI","nCS4ZIUYfx","T2fj7uvVaJ","ruOEQAzv1W","Uaa54Peajs","2DlMacCsIx","AF7qkfDlqP","sdazOOVcIp","W4YGzv6Whe","jLgFTUHLKL","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3740","layer":4},{"info":"number node, value=5111","layer":4},{"info":"compute binary expreesion, left_input=3740, right_input=5111, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1371","layer":3},{"info":"number node, value=4970","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=4970, right_input=1417, 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=1371, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=3150","layer":4},{"info":"compute unary expreesion, input=3150, 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 = 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=nan, right_input=-134, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3921","layer":4},{"info":"number node, value=1666","layer":4},{"info":"compute binary expreesion, left_input=3921, right_input=1666, 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=4612","layer":3},{"info":"compute unary expreesion, input=4612, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4339","layer":2},{"info":"number node, value=3097","layer":4},{"info":"compute unary expreesion, input=3097, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-21996","layer":3},{"info":"number node, value=5473","layer":4},{"info":"number node, value=1752","layer":4},{"info":"compute binary expreesion, left_input=5473, right_input=1752, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7437","layer":3},{"info":"compute binary expreesion, left_input=-21996, right_input=-7437, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-29433","layer":2},{"info":"compute binary expreesion, left_input=-4339, right_input=-29433, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-18","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-18, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111010011100⨳⩥⨓≮⫘↔1001111110111)⪮%⊝(≮⫘↔1001101101010⋓≮⫘↔10110001001)-(↔(∂≮⫘↔110001001110)))⩚⊴⇥((⨑⩽⪐(≮⫘↔111101010001⪨≂≮⫘↔11010000010))⩨((↩≮⫘↔110000011001)+≮⫘↔1010101100001⊭↱≮⫘↔11011011000))=NaN","reverse_text":"NaN=((≮⫘↔111010011100⨳⩥⨓≮⫘↔1001111110111)⪮%⊝(≮⫘↔1001101101010⋓≮⫘↔10110001001)-(↔(∂≮⫘↔110001001110)))⩚⊴⇥((⨑⩽⪐(≮⫘↔111101010001⪨≂≮⫘↔11010000010))⩨((↩≮⫘↔110000011001)+≮⫘↔1010101100001⊭↱≮⫘↔11011011000))","cot":[{"info":"≮⫘↔111010011100⨳⩥⨓≮⫘↔1001111110111=≮⫘↔10101011011","layer":3},{"info":"≮⫘↔1001101101010⋓≮⫘↔10110001001=≮⫘↔0","layer":3},{"info":"≮⫘↔10101011011⪮%⊝≮⫘↔0=NaN","layer":2},{"info":"∂≮⫘↔110001001110=NaN","layer":3},{"info":"↔NaN=≮⫘↔-10000110","layer":2},{"info":"NaN-≮⫘↔-10000110=NaN","layer":1},{"info":"≮⫘↔111101010001⪨≂≮⫘↔11010000010=≮⫘↔1001000000100","layer":3},{"info":"⨑⩽⪐≮⫘↔1001000000100=≮⫘↔-1000011110011","layer":2},{"info":"↩≮⫘↔110000011001=≮⫘↔-101010111101100","layer":3},{"info":"≮⫘↔1010101100001⊭↱≮⫘↔11011011000=≮⫘↔-1110100001101","layer":3},{"info":"≮⫘↔-101010111101100+≮⫘↔-1110100001101=≮⫘↔-111001011111001","layer":2},{"info":"≮⫘↔-1000011110011⩨≮⫘↔-111001011111001=≮⫘↔-10010","layer":1},{"info":"NaN⩚⊴⇥≮⫘↔-10010=NaN","layer":0}]}
{"id":411,"expression_no_base_symbol":"(($2946$/$3609$)⨰$2310$⨟⋌⩍$1430$)↬(⇁⨣⪵$1344$↙$4758$)⨓(((⪝⪂⫅$1093$)⨵⪆$1562$⨎$1581$)⩷∴($5554$⋝⋈⪟$2870$)∼($2498$/$3692$))","expression":"((≮⫘↔101110000010/≮⫘↔111000011001)⨰≮⫘↔100100000110⨟⋌⩍≮⫘↔10110010110)↬(⇁⨣⪵≮⫘↔10101000000↙≮⫘↔1001010010110)⨓(((⪝⪂⫅≮⫘↔10001000101)⨵⪆≮⫘↔11000011010⨎≮⫘↔11000101101)⩷∴(≮⫘↔1010110110010⋝⋈⪟≮⫘↔101100110110)∼(≮⫘↔100111000010/≮⫘↔111001101100))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5316,"operation_count":14,"complexity_ratio":379.7142857142857,"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":2946,"base":2},"right_expr":{"type":"numeric_atoms","value":3609,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2310,"base":2},"right_expr":{"type":"numeric_atoms","value":1430,"base":2}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1344,"base":2},"right_expr":{"type":"numeric_atoms","value":4758,"base":2}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1093,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1562,"base":2},"right_expr":{"type":"numeric_atoms","value":1581,"base":2}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5554,"base":2},"right_expr":{"type":"numeric_atoms","value":2870,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2498,"base":2},"right_expr":{"type":"numeric_atoms","value":3692,"base":2}}}}},"used_operators":["3ViojmjbAp","B5M0gjZbta","eewbuw0ToL","XhwjNDsVaA","rGHVDoGpnC","inkyxCbjAn","yyfyN0ffXY","9FxExcQeMw","2DQ55sFlQl","XTarYq4gQB","rJVOvQCfKK","DyGG3AbaNP","2DDjHMKMc0"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","B5M0gjZbta","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-11111011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2946","layer":4},{"info":"number node, value=3609","layer":4},{"info":"compute binary expreesion, left_input=2946, right_input=3609, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2310","layer":4},{"info":"number node, value=1430","layer":4},{"info":"compute binary expreesion, left_input=2310, right_input=1430, 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=0, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=1344","layer":4},{"info":"number node, value=4758","layer":4},{"info":"compute binary expreesion, left_input=1344, right_input=4758, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14274","layer":3},{"info":"compute unary expreesion, input=-14274, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=1093","layer":4},{"info":"compute unary expreesion, input=1093, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-160671","layer":3},{"info":"number node, value=1562","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=1581, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1581","layer":3},{"info":"compute binary expreesion, left_input=-160671, right_input=1581, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=5554","layer":4},{"info":"number node, value=2870","layer":4},{"info":"compute binary expreesion, left_input=5554, right_input=2870, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5554","layer":3},{"info":"number node, value=2498","layer":4},{"info":"number node, value=3692","layer":4},{"info":"compute binary expreesion, left_input=2498, right_input=3692, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=5554, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=20, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=248","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=248, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-251","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101110000010/≮⫘↔111000011001)⨰≮⫘↔100100000110⨟⋌⩍≮⫘↔10110010110)↬(⇁⨣⪵≮⫘↔10101000000↙≮⫘↔1001010010110)⨓(((⪝⪂⫅≮⫘↔10001000101)⨵⪆≮⫘↔11000011010⨎≮⫘↔11000101101)⩷∴(≮⫘↔1010110110010⋝⋈⪟≮⫘↔101100110110)∼(≮⫘↔100111000010/≮⫘↔111001101100))=≮⫘↔-11111011","reverse_text":"≮⫘↔-11111011=((≮⫘↔101110000010/≮⫘↔111000011001)⨰≮⫘↔100100000110⨟⋌⩍≮⫘↔10110010110)↬(⇁⨣⪵≮⫘↔10101000000↙≮⫘↔1001010010110)⨓(((⪝⪂⫅≮⫘↔10001000101)⨵⪆≮⫘↔11000011010⨎≮⫘↔11000101101)⩷∴(≮⫘↔1010110110010⋝⋈⪟≮⫘↔101100110110)∼(≮⫘↔100111000010/≮⫘↔111001101100))","cot":[{"info":"≮⫘↔101110000010/≮⫘↔111000011001=≮⫘↔0","layer":3},{"info":"≮⫘↔100100000110⨟⋌⩍≮⫘↔10110010110=NaN","layer":3},{"info":"≮⫘↔0⨰NaN=NaN","layer":2},{"info":"≮⫘↔10101000000↙≮⫘↔1001010010110=≮⫘↔-11011111000010","layer":3},{"info":"⇁⨣⪵≮⫘↔-11011111000010=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"⪝⪂⫅≮⫘↔10001000101=≮⫘↔-100111001110011111","layer":3},{"info":"≮⫘↔11000011010⨎≮⫘↔11000101101=≮⫘↔11000101101","layer":3},{"info":"≮⫘↔-100111001110011111⨵⪆≮⫘↔11000101101=≮⫘↔10100000","layer":2},{"info":"≮⫘↔1010110110010⋝⋈⪟≮⫘↔101100110110=≮⫘↔1010110110010","layer":3},{"info":"≮⫘↔100111000010/≮⫘↔111001101100=≮⫘↔0","layer":3},{"info":"≮⫘↔1010110110010∼≮⫘↔0=≮⫘↔10100","layer":2},{"info":"≮⫘↔10100000⩷∴≮⫘↔10100=≮⫘↔11111000","layer":1},{"info":"NaN⨓≮⫘↔11111000=≮⫘↔-11111011","layer":0}]}
{"id":412,"expression_no_base_symbol":"↔(($1029$+$1709$)⨎($1803$⫸⊐$1272$)⫸⊐($4618$↬$3959$-$2773$⋥≓≎$2728$))","expression":"↔((≮⫘↔10000000101+≮⫘↔11010101101)⨎(≮⫘↔11100001011⫸⊐≮⫘↔10011111000)⫸⊐(≮⫘↔1001000001010↬≮⫘↔111101110111-≮⫘↔101011010101⋥≓≎≮⫘↔101010101000))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":76,"operation_count":8,"complexity_ratio":9.5,"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":1029,"base":2},"right_expr":{"type":"numeric_atoms","value":1709,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1803,"base":2},"right_expr":{"type":"numeric_atoms","value":1272,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4618,"base":2},"right_expr":{"type":"numeric_atoms","value":3959,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2773,"base":2},"right_expr":{"type":"numeric_atoms","value":2728,"base":2}}}}},"used_operators":["ruOEQAzv1W","mqXw5SEYmG","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","Qy55tPpLXF"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-10000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1029","layer":4},{"info":"number node, value=1709","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=1709, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2738","layer":3},{"info":"number node, value=1803","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=1803, right_input=1272, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4963","layer":3},{"info":"compute binary expreesion, left_input=2738, right_input=4963, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4963","layer":2},{"info":"number node, value=4618","layer":4},{"info":"number node, value=3959","layer":4},{"info":"compute binary expreesion, left_input=4618, right_input=3959, 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=2773","layer":4},{"info":"number node, value=2728","layer":4},{"info":"compute binary expreesion, left_input=2773, right_input=2728, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2716","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2716, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4963, 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":"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":0}],"base":2,"result_base":2,"text":"↔((≮⫘↔10000000101+≮⫘↔11010101101)⨎(≮⫘↔11100001011⫸⊐≮⫘↔10011111000)⫸⊐(≮⫘↔1001000001010↬≮⫘↔111101110111-≮⫘↔101011010101⋥≓≎≮⫘↔101010101000))=≮⫘↔-10000110","reverse_text":"≮⫘↔-10000110=↔((≮⫘↔10000000101+≮⫘↔11010101101)⨎(≮⫘↔11100001011⫸⊐≮⫘↔10011111000)⫸⊐(≮⫘↔1001000001010↬≮⫘↔111101110111-≮⫘↔101011010101⋥≓≎≮⫘↔101010101000))","cot":[{"info":"≮⫘↔10000000101+≮⫘↔11010101101=≮⫘↔101010110010","layer":3},{"info":"≮⫘↔11100001011⫸⊐≮⫘↔10011111000=≮⫘↔1001101100011","layer":3},{"info":"≮⫘↔101010110010⨎≮⫘↔1001101100011=≮⫘↔1001101100011","layer":2},{"info":"≮⫘↔1001000001010↬≮⫘↔111101110111=NaN","layer":3},{"info":"≮⫘↔101011010101⋥≓≎≮⫘↔101010101000=≮⫘↔101010011100","layer":3},{"info":"NaN-≮⫘↔101010011100=NaN","layer":2},{"info":"≮⫘↔1001101100011⫸⊐NaN=NaN","layer":1},{"info":"↔NaN=≮⫘↔-10000110","layer":0}]}
{"id":413,"expression_no_base_symbol":"($1027$⨽$6619$⩨$2354$⨪↰⇹$1692$⨵⪆(↥$1572$↬$6570$))⩚⊴⇥(($8878$⪄$2055$)≹⇙⪍(⩦⩻⨪$2732$)↺($1329$⪛$1027$≦≮≮))","expression":"(≮⫘↔10000000011⨽≮⫘↔1100111011011⩨≮⫘↔100100110010⨪↰⇹≮⫘↔11010011100⨵⪆(↥≮⫘↔11000100100↬≮⫘↔1100110101010))⩚⊴⇥((≮⫘↔10001010101110⪄≮⫘↔100000000111)≹⇙⪍(⩦⩻⨪≮⫘↔101010101100)↺(≮⫘↔10100110001⪛≮⫘↔10000000011≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3508,"operation_count":13,"complexity_ratio":269.84615384615387,"tree":{"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":2},"right_expr":{"type":"numeric_atoms","value":6619,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2354,"base":2},"right_expr":{"type":"numeric_atoms","value":1692,"base":2}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1572,"base":2},"right_expr":{"type":"numeric_atoms","value":6570,"base":2}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":8878,"base":2},"right_expr":{"type":"numeric_atoms","value":2055,"base":2}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2732,"base":2}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1329,"base":2},"right_expr":{"type":"numeric_atoms","value":1027,"base":2}}}}},"used_operators":["NTOWxs364D","2DQ55sFlQl","2DlMacCsIx","8HhzD0ZcuI","tmPS8pqC7x","A8NUZmVepG","B5M0gjZbta","7j4O788W3g","AHs5Up7iyr","SUmda5xLS4","2td37pGCOC","D4vGDi5EA2","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rJVOvQCfKK","k8jYdgA6NY","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"≮⫘↔1001110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1027","layer":4},{"info":"number node, value=6619","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=6619, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3182730","layer":3},{"info":"number node, value=2354","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=2354, right_input=1692, 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=2354","layer":3},{"info":"compute binary expreesion, left_input=-3182730, right_input=2354, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"number node, value=1572","layer":4},{"info":"number node, value=6570","layer":4},{"info":"compute binary expreesion, left_input=1572, right_input=6570, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=8878","layer":4},{"info":"number node, value=2055","layer":4},{"info":"compute binary expreesion, left_input=8878, right_input=2055, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1318253","layer":3},{"info":"number node, value=2732","layer":4},{"info":"compute unary expreesion, input=2732, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2732","layer":3},{"info":"compute binary expreesion, left_input=-1318253, right_input=2732, 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=1329","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=1027, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=302","layer":3},{"info":"compute unary expreesion, input=302, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-906","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-906, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-906","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-906, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=625","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10000000011⨽≮⫘↔1100111011011⩨≮⫘↔100100110010⨪↰⇹≮⫘↔11010011100⨵⪆(↥≮⫘↔11000100100↬≮⫘↔1100110101010))⩚⊴⇥((≮⫘↔10001010101110⪄≮⫘↔100000000111)≹⇙⪍(⩦⩻⨪≮⫘↔101010101100)↺(≮⫘↔10100110001⪛≮⫘↔10000000011≦≮≮))=≮⫘↔1001110001","reverse_text":"≮⫘↔1001110001=(≮⫘↔10000000011⨽≮⫘↔1100111011011⩨≮⫘↔100100110010⨪↰⇹≮⫘↔11010011100⨵⪆(↥≮⫘↔11000100100↬≮⫘↔1100110101010))⩚⊴⇥((≮⫘↔10001010101110⪄≮⫘↔100000000111)≹⇙⪍(⩦⩻⨪≮⫘↔101010101100)↺(≮⫘↔10100110001⪛≮⫘↔10000000011≦≮≮))","cot":[{"info":"≮⫘↔10000000011⨽≮⫘↔1100111011011=≮⫘↔-1100001001000010001010","layer":3},{"info":"≮⫘↔100100110010⨪↰⇹≮⫘↔11010011100=≮⫘↔100100110010","layer":3},{"info":"≮⫘↔-1100001001000010001010⩨≮⫘↔100100110010=≮⫘↔11","layer":2},{"info":"≮⫘↔11000100100↬≮⫘↔1100110101010=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"≮⫘↔11⨵⪆NaN=≮⫘↔10100000","layer":1},{"info":"≮⫘↔10001010101110⪄≮⫘↔100000000111=≮⫘↔-101000001110101101101","layer":3},{"info":"⩦⩻⨪≮⫘↔101010101100=≮⫘↔101010101100","layer":3},{"info":"≮⫘↔-101000001110101101101≹⇙⪍≮⫘↔101010101100=NaN","layer":2},{"info":"≮⫘↔10100110001⪛≮⫘↔10000000011=≮⫘↔100101110","layer":3},{"info":"≮⫘↔100101110≦≮≮=≮⫘↔-1110001010","layer":2},{"info":"NaN↺≮⫘↔-1110001010=≮⫘↔-1110001010","layer":1},{"info":"≮⫘↔10100000⩚⊴⇥≮⫘↔-1110001010=≮⫘↔1001110001","layer":0}]}
{"id":414,"expression_no_base_symbol":"(⫛⫱⨽(($1203$≫≃)/$4944$⋓$1463$))⨓(⊙↵-(($3407$⩨$2784$)⪛($7296$⋝⋈⪟$1790$)))","expression":"(⫛⫱⨽((≮⫘↔10010110011≫≃)/≮⫘↔1001101010000⋓≮⫘↔10110110111))⨓(⊙↵-((≮⫘↔110101001111⩨≮⫘↔101011100000)⪛(≮⫘↔1110010000000⋝⋈⪟≮⫘↔11011111110)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":978,"operation_count":9,"complexity_ratio":108.66666666666667,"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":1203,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4944,"base":2},"right_expr":{"type":"numeric_atoms","value":1463,"base":2}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3407,"base":2},"right_expr":{"type":"numeric_atoms","value":2784,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7296,"base":2},"right_expr":{"type":"numeric_atoms","value":1790,"base":2}}}}},"used_operators":["3ViojmjbAp","DlLNRPXxWL","XhwjNDsVaA","X99M06cbEe","T2fj7uvVaJ","oWn0xqSxBt","uFcxV4UQCh","2DlMacCsIx","2DDjHMKMc0"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1203","layer":4},{"info":"compute unary expreesion, input=1203, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3807","layer":3},{"info":"number node, value=4944","layer":4},{"info":"number node, value=1463","layer":4},{"info":"compute binary expreesion, left_input=4944, right_input=1463, 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=3807, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"number node, value=3407","layer":4},{"info":"number node, value=2784","layer":4},{"info":"compute binary expreesion, left_input=3407, right_input=2784, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=7296","layer":4},{"info":"number node, value=1790","layer":4},{"info":"compute binary expreesion, left_input=7296, right_input=1790, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7296","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7296, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⫛⫱⨽((≮⫘↔10010110011≫≃)/≮⫘↔1001101010000⋓≮⫘↔10110110111))⨓(⊙↵-((≮⫘↔110101001111⩨≮⫘↔101011100000)⪛(≮⫘↔1110010000000⋝⋈⪟≮⫘↔11011111110)))=NaN","reverse_text":"NaN=(⫛⫱⨽((≮⫘↔10010110011≫≃)/≮⫘↔1001101010000⋓≮⫘↔10110110111))⨓(⊙↵-((≮⫘↔110101001111⩨≮⫘↔101011100000)⪛(≮⫘↔1110010000000⋝⋈⪟≮⫘↔11011111110)))","cot":[{"info":"≮⫘↔10010110011≫≃=≮⫘↔111011011111","layer":3},{"info":"≮⫘↔1001101010000⋓≮⫘↔10110110111=≮⫘↔0","layer":3},{"info":"≮⫘↔111011011111/≮⫘↔0=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"≮⫘↔110101001111⩨≮⫘↔101011100000=≮⫘↔0","layer":3},{"info":"≮⫘↔1110010000000⋝⋈⪟≮⫘↔11011111110=≮⫘↔1110010000000","layer":3},{"info":"≮⫘↔0⪛≮⫘↔1110010000000=≮⫘↔0","layer":2},{"info":"⊙↵-≮⫘↔0=≮⫘↔0","layer":1},{"info":"NaN⨓≮⫘↔0=NaN","layer":0}]}
{"id":415,"expression_no_base_symbol":"⋗⩬⋾(↥$4398$⋥≓≎$1000$)⨓(($4922$⩨$4158$)≦≮≮)","expression":"⋗⩬⋾(↥≮⫘↔1000100101110⋥≓≎≮⫘↔1111101000)⨓((≮⫘↔1001100111010⩨≮⫘↔1000000111110)≦≮≮)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":67,"operation_count":6,"complexity_ratio":11.166666666666666,"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":4398,"base":2},"right_expr":{"type":"numeric_atoms","value":1000,"base":2}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4922,"base":2},"right_expr":{"type":"numeric_atoms","value":4158,"base":2}}}}},"used_operators":["DpFCA1CohY","3ViojmjbAp","A8NUZmVepG","Qy55tPpLXF","D4vGDi5EA2","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=4398","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=4398, right_input=1000, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2365","layer":3},{"info":"compute unary expreesion, input=-2365, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=32","layer":2},{"info":"number node, value=4922","layer":4},{"info":"number node, value=4158","layer":4},{"info":"compute binary expreesion, left_input=4922, right_input=4158, 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=32, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"⋗⩬⋾(↥≮⫘↔1000100101110⋥≓≎≮⫘↔1111101000)⨓((≮⫘↔1001100111010⩨≮⫘↔1000000111110)≦≮≮)=NaN","reverse_text":"NaN=⋗⩬⋾(↥≮⫘↔1000100101110⋥≓≎≮⫘↔1111101000)⨓((≮⫘↔1001100111010⩨≮⫘↔1000000111110)≦≮≮)","cot":[{"info":"≮⫘↔1000100101110⋥≓≎≮⫘↔1111101000=≮⫘↔-100100111101","layer":3},{"info":"↥≮⫘↔-100100111101=≮⫘↔100000","layer":2},{"info":"≮⫘↔1001100111010⩨≮⫘↔1000000111110=≮⫘↔0","layer":3},{"info":"≮⫘↔0≦≮≮=≮⫘↔0","layer":2},{"info":"≮⫘↔100000⨓≮⫘↔0=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":416,"expression_no_base_symbol":"((≤/($2190$⇼⇔∾$7593$))∀⇚≩($8078$⪛$1248$⋥≓≎($3005$⊉≛↸$3519$)))∀⇚≩(($1068$⊭↱$1625$)↙$2952$⋥≓≎$6125$)≹⇙⪍((⇁⨣⪵$3294$)+⇶⊼($4186$⩨$4249$))","expression":"((≤/(≮⫘↔100010001110⇼⇔∾≮⫘↔1110110101001))∀⇚≩(≮⫘↔1111110001110⪛≮⫘↔10011100000⋥≓≎(≮⫘↔101110111101⊉≛↸≮⫘↔110110111111)))∀⇚≩((≮⫘↔10000101100⊭↱≮⫘↔11001011001)↙≮⫘↔101110001000⋥≓≎≮⫘↔1011111101101)≹⇙⪍((⇁⨣⪵≮⫘↔110011011110)+⇶⊼(≮⫘↔1000001011010⩨≮⫘↔1000010011001))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":43813,"operation_count":14,"complexity_ratio":3129.5,"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":2190,"base":2},"right_expr":{"type":"numeric_atoms","value":7593,"base":2}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":8078,"base":2},"right_expr":{"type":"numeric_atoms","value":1248,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3005,"base":2},"right_expr":{"type":"numeric_atoms","value":3519,"base":2}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1068,"base":2},"right_expr":{"type":"numeric_atoms","value":1625,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2952,"base":2},"right_expr":{"type":"numeric_atoms","value":6125,"base":2}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3294,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4186,"base":2},"right_expr":{"type":"numeric_atoms","value":4249,"base":2}}}}},"used_operators":["LRNGc0VcxI","eLAdDNolq6","tifHPKVTfV","Qy55tPpLXF","uFcxV4UQCh","DZ8iAZOCBD","AHs5Up7iyr","yyfyN0ffXY","COABgblf1C","TpPTUOHfaN","inkyxCbjAn","2DlMacCsIx"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","B5M0gjZbta","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2190","layer":4},{"info":"number node, value=7593","layer":4},{"info":"compute binary expreesion, left_input=2190, right_input=7593, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5403","layer":3},{"info":"compute unary expreesion, input=5403, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4919","layer":2},{"info":"number node, value=8078","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=8078, right_input=1248, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=590","layer":3},{"info":"number node, value=3005","layer":4},{"info":"number node, value=3519","layer":4},{"info":"compute binary expreesion, left_input=3005, right_input=3519, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6010","layer":3},{"info":"compute binary expreesion, left_input=590, right_input=6010, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=11463","layer":2},{"info":"compute binary expreesion, left_input=-4919, right_input=11463, 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=1068","layer":4},{"info":"number node, value=1625","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=1625, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1119","layer":3},{"info":"number node, value=2952","layer":4},{"info":"number node, value=6125","layer":4},{"info":"compute binary expreesion, left_input=2952, right_input=6125, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9331","layer":3},{"info":"compute binary expreesion, left_input=1119, right_input=9331, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-27993","layer":2},{"info":"number node, value=3294","layer":4},{"info":"compute unary expreesion, input=3294, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=4186","layer":4},{"info":"number node, value=4249","layer":4},{"info":"compute binary expreesion, left_input=4186, right_input=4249, 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 = 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=-27993, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≤/(≮⫘↔100010001110⇼⇔∾≮⫘↔1110110101001))∀⇚≩(≮⫘↔1111110001110⪛≮⫘↔10011100000⋥≓≎(≮⫘↔101110111101⊉≛↸≮⫘↔110110111111)))∀⇚≩((≮⫘↔10000101100⊭↱≮⫘↔11001011001)↙≮⫘↔101110001000⋥≓≎≮⫘↔1011111101101)≹⇙⪍((⇁⨣⪵≮⫘↔110011011110)+⇶⊼(≮⫘↔1000001011010⩨≮⫘↔1000010011001))=NaN","reverse_text":"NaN=((≤/(≮⫘↔100010001110⇼⇔∾≮⫘↔1110110101001))∀⇚≩(≮⫘↔1111110001110⪛≮⫘↔10011100000⋥≓≎(≮⫘↔101110111101⊉≛↸≮⫘↔110110111111)))∀⇚≩((≮⫘↔10000101100⊭↱≮⫘↔11001011001)↙≮⫘↔101110001000⋥≓≎≮⫘↔1011111101101)≹⇙⪍((⇁⨣⪵≮⫘↔110011011110)+⇶⊼(≮⫘↔1000001011010⩨≮⫘↔1000010011001))","cot":[{"info":"≮⫘↔100010001110⇼⇔∾≮⫘↔1110110101001=≮⫘↔1010100011011","layer":3},{"info":"≤/≮⫘↔1010100011011=≮⫘↔-1001100110111","layer":2},{"info":"≮⫘↔1111110001110⪛≮⫘↔10011100000=≮⫘↔1001001110","layer":3},{"info":"≮⫘↔101110111101⊉≛↸≮⫘↔110110111111=≮⫘↔1011101111010","layer":3},{"info":"≮⫘↔1001001110⋥≓≎≮⫘↔1011101111010=≮⫘↔10110011000111","layer":2},{"info":"≮⫘↔-1001100110111∀⇚≩≮⫘↔10110011000111=NaN","layer":1},{"info":"≮⫘↔10000101100⊭↱≮⫘↔11001011001=≮⫘↔10001011111","layer":3},{"info":"≮⫘↔101110001000⋥≓≎≮⫘↔1011111101101=≮⫘↔10010001110011","layer":3},{"info":"≮⫘↔10001011111↙≮⫘↔10010001110011=≮⫘↔-110110101011001","layer":2},{"info":"⇁⨣⪵≮⫘↔110011011110=NaN","layer":3},{"info":"≮⫘↔1000001011010⩨≮⫘↔1000010011001=≮⫘↔-11","layer":3},{"info":"NaN+⇶⊼≮⫘↔-11=NaN","layer":2},{"info":"≮⫘↔-110110101011001≹⇙⪍NaN=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":417,"expression_no_base_symbol":"⊥($3298$⋳⪒$1284$+$2017$⋳⪒$3796$⫡⨏(⫛⫱⨽$1355$)⪢($2629$⨐⩸⫘$7653$))","expression":"⊥(≮⫘↔110011100010⋳⪒≮⫘↔10100000100+≮⫘↔11111100001⋳⪒≮⫘↔111011010100⫡⨏(⫛⫱⨽≮⫘↔10101001011)⪢(≮⫘↔101001000101⨐⩸⫘≮⫘↔1110111100101))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1447,"operation_count":8,"complexity_ratio":180.875,"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":3298,"base":2},"right_expr":{"type":"numeric_atoms","value":1284,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2017,"base":2},"right_expr":{"type":"numeric_atoms","value":3796,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1355,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2629,"base":2},"right_expr":{"type":"numeric_atoms","value":7653,"base":2}}}}},"used_operators":["Q3PJZHRvZv","QMFrweE19q","W4YGzv6Whe","12rbrZMWeM","dWAJyo7jo9","DlLNRPXxWL","fu6greOZ01"],"dependent_operators":["fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rGHVDoGpnC","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3298","layer":4},{"info":"number node, value=1284","layer":4},{"info":"compute binary expreesion, left_input=3298, right_input=1284, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5025","layer":3},{"info":"number node, value=2017","layer":4},{"info":"number node, value=3796","layer":4},{"info":"compute binary expreesion, left_input=2017, right_input=3796, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-49","layer":3},{"info":"compute binary expreesion, left_input=5025, right_input=-49, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4976","layer":2},{"info":"number node, value=1355","layer":4},{"info":"compute unary expreesion, input=1355, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2629","layer":4},{"info":"number node, value=7653","layer":4},{"info":"compute binary expreesion, left_input=2629, right_input=7653, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 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=4976, 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 unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⊥(≮⫘↔110011100010⋳⪒≮⫘↔10100000100+≮⫘↔11111100001⋳⪒≮⫘↔111011010100⫡⨏(⫛⫱⨽≮⫘↔10101001011)⪢(≮⫘↔101001000101⨐⩸⫘≮⫘↔1110111100101))=NaN","reverse_text":"NaN=⊥(≮⫘↔110011100010⋳⪒≮⫘↔10100000100+≮⫘↔11111100001⋳⪒≮⫘↔111011010100⫡⨏(⫛⫱⨽≮⫘↔10101001011)⪢(≮⫘↔101001000101⨐⩸⫘≮⫘↔1110111100101))","cot":[{"info":"≮⫘↔110011100010⋳⪒≮⫘↔10100000100=≮⫘↔1001110100001","layer":3},{"info":"≮⫘↔11111100001⋳⪒≮⫘↔111011010100=≮⫘↔-110001","layer":3},{"info":"≮⫘↔1001110100001+≮⫘↔-110001=≮⫘↔1001101110000","layer":2},{"info":"⫛⫱⨽≮⫘↔10101001011=≮⫘↔0","layer":3},{"info":"≮⫘↔101001000101⨐⩸⫘≮⫘↔1110111100101=NaN","layer":3},{"info":"≮⫘↔0⪢NaN=NaN","layer":2},{"info":"≮⫘↔1001101110000⫡⨏NaN=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":418,"expression_no_base_symbol":"(⫛⫱⨽($1665$⫥∨⫟$1799$))⨓(⊙↵-$6995$)⪢($1220$∀⇚≩$3002$)≭(($1670$↛⩡⫤)⊉≛↸$2023$⋓$3940$*$3124$⨰$1202$+⇶⊼$3186$⨓$3728$)","expression":"(⫛⫱⨽(≮⫘↔11010000001⫥∨⫟≮⫘↔11100000111))⨓(⊙↵-≮⫘↔1101101010011)⪢(≮⫘↔10011000100∀⇚≩≮⫘↔101110111010)≭((≮⫘↔11010000110↛⩡⫤)⊉≛↸≮⫘↔11111100111⋓≮⫘↔111101100100*≮⫘↔110000110100⨰≮⫘↔10010110010+⇶⊼≮⫘↔110001110010⨓≮⫘↔111010010000)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":25559,"operation_count":14,"complexity_ratio":1825.642857142857,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1665,"base":2},"right_expr":{"type":"numeric_atoms","value":1799,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":6995,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1220,"base":2},"right_expr":{"type":"numeric_atoms","value":3002,"base":2}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1670,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2023,"base":2},"right_expr":{"type":"numeric_atoms","value":3940,"base":2}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3124,"base":2},"right_expr":{"type":"numeric_atoms","value":1202,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3186,"base":2},"right_expr":{"type":"numeric_atoms","value":3728,"base":2}}}}},"used_operators":["rxpJgHHUmx","3ViojmjbAp","DlLNRPXxWL","KYD54nUTWz","dWAJyo7jo9","oWn0xqSxBt","LRNGc0VcxI","9HNa5Wba9A","DZ8iAZOCBD","FU0Cs4j7VP","T2fj7uvVaJ","TpPTUOHfaN","eewbuw0ToL"],"dependent_operators":["AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1665","layer":4},{"info":"number node, value=1799","layer":4},{"info":"compute binary expreesion, left_input=1665, right_input=1799, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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=6995","layer":4},{"info":"compute unary expreesion, input=6995, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1220","layer":4},{"info":"number node, value=3002","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=3002, 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=-1, 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=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=1670","layer":4},{"info":"compute unary expreesion, input=1670, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-248259","layer":3},{"info":"number node, value=2023","layer":4},{"info":"number node, value=3940","layer":4},{"info":"compute binary expreesion, left_input=2023, right_input=3940, 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=-248259, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":2},{"info":"number node, value=3124","layer":4},{"info":"number node, value=1202","layer":4},{"info":"compute binary expreesion, left_input=3124, right_input=1202, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1932","layer":3},{"info":"number node, value=3186","layer":4},{"info":"number node, value=3728","layer":4},{"info":"compute binary expreesion, left_input=3186, right_input=3728, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3731","layer":3},{"info":"compute binary expreesion, left_input=1932, right_input=-3731, 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=0, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⫛⫱⨽(≮⫘↔11010000001⫥∨⫟≮⫘↔11100000111))⨓(⊙↵-≮⫘↔1101101010011)⪢(≮⫘↔10011000100∀⇚≩≮⫘↔101110111010)≭((≮⫘↔11010000110↛⩡⫤)⊉≛↸≮⫘↔11111100111⋓≮⫘↔111101100100*≮⫘↔110000110100⨰≮⫘↔10010110010+⇶⊼≮⫘↔110001110010⨓≮⫘↔111010010000)=NaN","reverse_text":"NaN=(⫛⫱⨽(≮⫘↔11010000001⫥∨⫟≮⫘↔11100000111))⨓(⊙↵-≮⫘↔1101101010011)⪢(≮⫘↔10011000100∀⇚≩≮⫘↔101110111010)≭((≮⫘↔11010000110↛⩡⫤)⊉≛↸≮⫘↔11111100111⋓≮⫘↔111101100100*≮⫘↔110000110100⨰≮⫘↔10010110010+⇶⊼≮⫘↔110001110010⨓≮⫘↔111010010000)","cot":[{"info":"≮⫘↔11010000001⫥∨⫟≮⫘↔11100000111=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"⊙↵-≮⫘↔1101101010011=≮⫘↔-1","layer":3},{"info":"≮⫘↔10011000100∀⇚≩≮⫘↔101110111010=NaN","layer":3},{"info":"≮⫘↔-1⪢NaN=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"≮⫘↔11010000110↛⩡⫤=≮⫘↔-111100100111000011","layer":3},{"info":"≮⫘↔11111100111⋓≮⫘↔111101100100=≮⫘↔0","layer":3},{"info":"≮⫘↔-111100100111000011⊉≛↸≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔110000110100⨰≮⫘↔10010110010=≮⫘↔11110001100","layer":3},{"info":"≮⫘↔110001110010⨓≮⫘↔111010010000=≮⫘↔-111010010011","layer":3},{"info":"≮⫘↔11110001100+⇶⊼≮⫘↔-111010010011=NaN","layer":2},{"info":"≮⫘↔0*NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":419,"expression_no_base_symbol":"($3205$∑⇟⊟$1468$⨓($1840$∲⫓$3364$)-($1388$≦≮≮)⨓(⫛⫱⨽$2594$))+⇶⊼(⪲⇎(⊥$4204$)∀⇚≩($1799$+$3962$))","expression":"(≮⫘↔110010000101∑⇟⊟≮⫘↔10110111100⨓(≮⫘↔11100110000∲⫓≮⫘↔110100100100)-(≮⫘↔10101101100≦≮≮)⨓(⫛⫱⨽≮⫘↔101000100010))+⇶⊼(⪲⇎(⊥≮⫘↔1000001101100)∀⇚≩(≮⫘↔11100000111+≮⫘↔111101111010))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1449,"operation_count":12,"complexity_ratio":120.75,"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":3205,"base":2},"right_expr":{"type":"numeric_atoms","value":1468,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1840,"base":2},"right_expr":{"type":"numeric_atoms","value":3364,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1388,"base":2}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2594,"base":2}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4204,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1799,"base":2},"right_expr":{"type":"numeric_atoms","value":3962,"base":2}}}}},"used_operators":["TpPTUOHfaN","rysDP5nf3Z","3ViojmjbAp","U7g4x0WXJJ","i8ToyICDmI","D4vGDi5EA2","DlLNRPXxWL","XPYlsWDdGa","LRNGc0VcxI","Q3PJZHRvZv","W4YGzv6Whe"],"dependent_operators":["AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3205","layer":4},{"info":"number node, value=1468","layer":4},{"info":"compute binary expreesion, left_input=3205, right_input=1468, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1840","layer":4},{"info":"number node, value=3364","layer":4},{"info":"compute binary expreesion, left_input=1840, right_input=3364, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=1388","layer":4},{"info":"compute unary expreesion, input=1388, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4164","layer":3},{"info":"number node, value=2594","layer":4},{"info":"compute unary expreesion, input=2594, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4164, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4204","layer":4},{"info":"compute unary expreesion, input=4204, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1799","layer":4},{"info":"number node, value=3962","layer":4},{"info":"compute binary expreesion, left_input=1799, right_input=3962, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5761","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5761, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', 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":2,"result_base":2,"text":"(≮⫘↔110010000101∑⇟⊟≮⫘↔10110111100⨓(≮⫘↔11100110000∲⫓≮⫘↔110100100100)-(≮⫘↔10101101100≦≮≮)⨓(⫛⫱⨽≮⫘↔101000100010))+⇶⊼(⪲⇎(⊥≮⫘↔1000001101100)∀⇚≩(≮⫘↔11100000111+≮⫘↔111101111010))=NaN","reverse_text":"NaN=(≮⫘↔110010000101∑⇟⊟≮⫘↔10110111100⨓(≮⫘↔11100110000∲⫓≮⫘↔110100100100)-(≮⫘↔10101101100≦≮≮)⨓(⫛⫱⨽≮⫘↔101000100010))+⇶⊼(⪲⇎(⊥≮⫘↔1000001101100)∀⇚≩(≮⫘↔11100000111+≮⫘↔111101111010))","cot":[{"info":"≮⫘↔110010000101∑⇟⊟≮⫘↔10110111100=NaN","layer":3},{"info":"≮⫘↔11100110000∲⫓≮⫘↔110100100100=≮⫘↔0","layer":3},{"info":"NaN⨓≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔10101101100≦≮≮=≮⫘↔-1000001000100","layer":3},{"info":"⫛⫱⨽≮⫘↔101000100010=≮⫘↔0","layer":3},{"info":"≮⫘↔-1000001000100⨓≮⫘↔0=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"⊥≮⫘↔1000001101100=NaN","layer":3},{"info":"≮⫘↔11100000111+≮⫘↔111101111010=≮⫘↔1011010000001","layer":3},{"info":"NaN∀⇚≩≮⫘↔1011010000001=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":420,"expression_no_base_symbol":"(↽≂($7944$⨳⩥⨓$1057$)∀⇚≩$1816$∀⇚≩$2569$)⪮%⊝(⪝⪂⫅(⋗⩬⋾($3777$⨵⪆$1260$)))","expression":"(↽≂(≮⫘↔1111100001000⨳⩥⨓≮⫘↔10000100001)∀⇚≩≮⫘↔11100011000∀⇚≩≮⫘↔101000001001)⪮%⊝(⪝⪂⫅(⋗⩬⋾(≮⫘↔111011000001⨵⪆≮⫘↔10011101100)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":61090,"operation_count":8,"complexity_ratio":7636.25,"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":7944,"base":2},"right_expr":{"type":"numeric_atoms","value":1057,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1816,"base":2},"right_expr":{"type":"numeric_atoms","value":2569,"base":2}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3777,"base":2},"right_expr":{"type":"numeric_atoms","value":1260,"base":2}}}}},"used_operators":["IWmyXbctLI","u6S6b8DprG","LRNGc0VcxI","nCS4ZIUYfx","XTarYq4gQB","DpFCA1CohY","2DQ55sFlQl"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7944","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=7944, right_input=1057, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-6887","layer":3},{"info":"number node, value=1816","layer":4},{"info":"number node, value=2569","layer":4},{"info":"compute binary expreesion, left_input=1816, right_input=2569, 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=-6887, 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 = 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=3777","layer":4},{"info":"number node, value=1260","layer":4},{"info":"compute binary expreesion, left_input=3777, right_input=1260, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-480","layer":2},{"info":"compute unary expreesion, input=-480, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=70560","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=70560, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↽≂(≮⫘↔1111100001000⨳⩥⨓≮⫘↔10000100001)∀⇚≩≮⫘↔11100011000∀⇚≩≮⫘↔101000001001)⪮%⊝(⪝⪂⫅(⋗⩬⋾(≮⫘↔111011000001⨵⪆≮⫘↔10011101100)))=NaN","reverse_text":"NaN=(↽≂(≮⫘↔1111100001000⨳⩥⨓≮⫘↔10000100001)∀⇚≩≮⫘↔11100011000∀⇚≩≮⫘↔101000001001)⪮%⊝(⪝⪂⫅(⋗⩬⋾(≮⫘↔111011000001⨵⪆≮⫘↔10011101100)))","cot":[{"info":"≮⫘↔1111100001000⨳⩥⨓≮⫘↔10000100001=≮⫘↔-1101011100111","layer":3},{"info":"≮⫘↔11100011000∀⇚≩≮⫘↔101000001001=NaN","layer":3},{"info":"≮⫘↔-1101011100111∀⇚≩NaN=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"≮⫘↔111011000001⨵⪆≮⫘↔10011101100=≮⫘↔10100000","layer":3},{"info":"⋗⩬⋾≮⫘↔10100000=≮⫘↔-111100000","layer":2},{"info":"⪝⪂⫅≮⫘↔-111100000=≮⫘↔10001001110100000","layer":1},{"info":"NaN⪮%⊝≮⫘↔10001001110100000=NaN","layer":0}]}
{"id":421,"expression_no_base_symbol":"((⋗⩬⋾(↯⪼$1218$))⨽($1557$⨐⩸⫘$5749$)⨽($6347$⋷$4011$))⪢((⨞⊢($2684$%$3891$))⫩⊇)","expression":"((⋗⩬⋾(↯⪼≮⫘↔10011000010))⨽(≮⫘↔11000010101⨐⩸⫘≮⫘↔1011001110101)⨽(≮⫘↔1100011001011⋷≮⫘↔111110101011))⪢((⨞⊢(≮⫘↔101001111100%≮⫘↔111100110011))⫩⊇)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3025,"operation_count":10,"complexity_ratio":302.5,"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":1218,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1557,"base":2},"right_expr":{"type":"numeric_atoms","value":5749,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6347,"base":2},"right_expr":{"type":"numeric_atoms","value":4011,"base":2}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2684,"base":2},"right_expr":{"type":"numeric_atoms","value":3891,"base":2}}}}},"used_operators":["dWAJyo7jo9","8HhzD0ZcuI","DpFCA1CohY","8jW3W4yZS5","fu6greOZ01","23Mk6UjR3U","BjRHVeLaeN","xUOZtlo3hN","k8jYdgA6NY"],"dependent_operators":["k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1218","layer":4},{"info":"compute unary expreesion, input=1218, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=63","layer":2},{"info":"number node, value=1557","layer":4},{"info":"number node, value=5749","layer":4},{"info":"compute binary expreesion, left_input=1557, right_input=5749, 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=6347","layer":4},{"info":"number node, value=4011","layer":4},{"info":"compute binary expreesion, left_input=6347, right_input=4011, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1675","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1675, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=63, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=2684","layer":4},{"info":"number node, value=3891","layer":4},{"info":"compute binary expreesion, left_input=2684, right_input=3891, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2684","layer":3},{"info":"compute unary expreesion, input=2684, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2858","layer":2},{"info":"compute unary expreesion, input=-2858, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=2900","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2900, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⋗⩬⋾(↯⪼≮⫘↔10011000010))⨽(≮⫘↔11000010101⨐⩸⫘≮⫘↔1011001110101)⨽(≮⫘↔1100011001011⋷≮⫘↔111110101011))⪢((⨞⊢(≮⫘↔101001111100%≮⫘↔111100110011))⫩⊇)=NaN","reverse_text":"NaN=((⋗⩬⋾(↯⪼≮⫘↔10011000010))⨽(≮⫘↔11000010101⨐⩸⫘≮⫘↔1011001110101)⨽(≮⫘↔1100011001011⋷≮⫘↔111110101011))⪢((⨞⊢(≮⫘↔101001111100%≮⫘↔111100110011))⫩⊇)","cot":[{"info":"↯⪼≮⫘↔10011000010=≮⫘↔-10101","layer":3},{"info":"⋗⩬⋾≮⫘↔-10101=≮⫘↔111111","layer":2},{"info":"≮⫘↔11000010101⨐⩸⫘≮⫘↔1011001110101=NaN","layer":3},{"info":"≮⫘↔1100011001011⋷≮⫘↔111110101011=≮⫘↔11010001011","layer":3},{"info":"NaN⨽≮⫘↔11010001011=NaN","layer":2},{"info":"≮⫘↔111111⨽NaN=NaN","layer":1},{"info":"≮⫘↔101001111100%≮⫘↔111100110011=≮⫘↔101001111100","layer":3},{"info":"⨞⊢≮⫘↔101001111100=≮⫘↔-101100101010","layer":2},{"info":"≮⫘↔-101100101010⫩⊇=≮⫘↔101101010100","layer":1},{"info":"NaN⪢≮⫘↔101101010100=NaN","layer":0}]}
{"id":422,"expression_no_base_symbol":"(($1476$⨎$1045$)≹⇙⪍(+⊝⨔$4289$)⨽($5284$↬$1910$⨸⪁($1498$⇋≉)))⋝⋈⪟(((↔$1813$)⩤)⫸⊐(⨑⩽⪐$6080$⨰$6766$))","expression":"((≮⫘↔10111000100⨎≮⫘↔10000010101)≹⇙⪍(+⊝⨔≮⫘↔1000011000001)⨽(≮⫘↔1010010100100↬≮⫘↔11101110110⨸⪁(≮⫘↔10111011010⇋≉)))⋝⋈⪟(((↔≮⫘↔11100010101)⩤)⫸⊐(⨑⩽⪐≮⫘↔1011111000000⨰≮⫘↔1101001101110))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":107,"operation_count":13,"complexity_ratio":8.23076923076923,"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":1476,"base":2},"right_expr":{"type":"numeric_atoms","value":1045,"base":2}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4289,"base":2}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5284,"base":2},"right_expr":{"type":"numeric_atoms","value":1910,"base":2}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1498,"base":2}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1813,"base":2}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6080,"base":2},"right_expr":{"type":"numeric_atoms","value":6766,"base":2}}}}},"used_operators":["2DDjHMKMc0","8HhzD0ZcuI","AHs5Up7iyr","rJVOvQCfKK","DhbWaqg5eL","g55IO6H4Gj","B5M0gjZbta","XIabStNQrY","mqXw5SEYmG","Z2TMIBDE3Q","ruOEQAzv1W","AF7qkfDlqP","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1476","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=1476, right_input=1045, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1045","layer":3},{"info":"number node, value=4289","layer":4},{"info":"compute unary expreesion, input=4289, 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=1045, right_input=1522, 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=5284","layer":4},{"info":"number node, value=1910","layer":4},{"info":"compute binary expreesion, left_input=5284, right_input=1910, 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=1498","layer":4},{"info":"compute unary expreesion, input=1498, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2898","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2898, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=1813","layer":4},{"info":"compute unary expreesion, input=1813, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1540","layer":3},{"info":"compute unary expreesion, input=-1540, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=1540","layer":2},{"info":"number node, value=6080","layer":4},{"info":"number node, value=6766","layer":4},{"info":"compute binary expreesion, left_input=6080, right_input=6766, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=2141","layer":2},{"info":"compute binary expreesion, left_input=1540, right_input=2141, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8439","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8439, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10111000100⨎≮⫘↔10000010101)≹⇙⪍(+⊝⨔≮⫘↔1000011000001)⨽(≮⫘↔1010010100100↬≮⫘↔11101110110⨸⪁(≮⫘↔10111011010⇋≉)))⋝⋈⪟(((↔≮⫘↔11100010101)⩤)⫸⊐(⨑⩽⪐≮⫘↔1011111000000⨰≮⫘↔1101001101110))=NaN","reverse_text":"NaN=((≮⫘↔10111000100⨎≮⫘↔10000010101)≹⇙⪍(+⊝⨔≮⫘↔1000011000001)⨽(≮⫘↔1010010100100↬≮⫘↔11101110110⨸⪁(≮⫘↔10111011010⇋≉)))⋝⋈⪟(((↔≮⫘↔11100010101)⩤)⫸⊐(⨑⩽⪐≮⫘↔1011111000000⨰≮⫘↔1101001101110))","cot":[{"info":"≮⫘↔10111000100⨎≮⫘↔10000010101=≮⫘↔10000010101","layer":3},{"info":"+⊝⨔≮⫘↔1000011000001=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔10000010101≹⇙⪍≮⫘↔10111110010=NaN","layer":2},{"info":"≮⫘↔1010010100100↬≮⫘↔11101110110=NaN","layer":3},{"info":"≮⫘↔10111011010⇋≉=≮⫘↔101101010010","layer":3},{"info":"NaN⨸⪁≮⫘↔101101010010=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"↔≮⫘↔11100010101=≮⫘↔-11000000100","layer":3},{"info":"≮⫘↔-11000000100⩤=≮⫘↔11000000100","layer":2},{"info":"≮⫘↔1011111000000⨰≮⫘↔1101001101110=≮⫘↔-1010100100","layer":3},{"info":"⨑⩽⪐≮⫘↔-1010100100=≮⫘↔100001011101","layer":2},{"info":"≮⫘↔11000000100⫸⊐≮⫘↔100001011101=≮⫘↔10000011110111","layer":1},{"info":"NaN⋝⋈⪟≮⫘↔10000011110111=NaN","layer":0}]}
{"id":423,"expression_no_base_symbol":"↥(($5826$⨸⪁$5520$)⫩⊇)⇷($2713$≭$1055$%$5567$⨐⩸⫘$3061$)","expression":"↥((≮⫘↔1011011000010⨸⪁≮⫘↔1010110010000)⫩⊇)⇷(≮⫘↔101010011001≭≮⫘↔10000011111%≮⫘↔1010110111111⨐⩸⫘≮⫘↔101111110101)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":317115,"operation_count":7,"complexity_ratio":45302.142857142855,"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":5826,"base":2},"right_expr":{"type":"numeric_atoms","value":5520,"base":2}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2713,"base":2},"right_expr":{"type":"numeric_atoms","value":1055,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5567,"base":2},"right_expr":{"type":"numeric_atoms","value":3061,"base":2}}}}},"used_operators":["A8NUZmVepG","mp7IySMOzn","BjRHVeLaeN","g55IO6H4Gj","k8jYdgA6NY","rxpJgHHUmx","fu6greOZ01"],"dependent_operators":["k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5826","layer":4},{"info":"number node, value=5520","layer":4},{"info":"compute binary expreesion, left_input=5826, right_input=5520, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=22692","layer":3},{"info":"compute unary expreesion, input=22692, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-22650","layer":2},{"info":"number node, value=2713","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=2713, right_input=1055, 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=5567","layer":4},{"info":"number node, value=3061","layer":4},{"info":"compute binary expreesion, left_input=5567, right_input=3061, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-22650, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↥((≮⫘↔1011011000010⨸⪁≮⫘↔1010110010000)⫩⊇)⇷(≮⫘↔101010011001≭≮⫘↔10000011111%≮⫘↔1010110111111⨐⩸⫘≮⫘↔101111110101)=NaN","reverse_text":"NaN=↥((≮⫘↔1011011000010⨸⪁≮⫘↔1010110010000)⫩⊇)⇷(≮⫘↔101010011001≭≮⫘↔10000011111%≮⫘↔1010110111111⨐⩸⫘≮⫘↔101111110101)","cot":[{"info":"≮⫘↔1011011000010⨸⪁≮⫘↔1010110010000=≮⫘↔101100010100100","layer":3},{"info":"≮⫘↔101100010100100⫩⊇=≮⫘↔-101100001111010","layer":2},{"info":"≮⫘↔101010011001≭≮⫘↔10000011111=NaN","layer":3},{"info":"≮⫘↔1010110111111⨐⩸⫘≮⫘↔101111110101=NaN","layer":3},{"info":"NaN%NaN=NaN","layer":2},{"info":"≮⫘↔-101100001111010⇷NaN=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":424,"expression_no_base_symbol":"(((↔$3219$)⪐)⋥≓≎(($1070$⨸⪁$1074$)⊪))∀⇚≩(($2607$⫌⩹⨱)⫸⊐($1262$⫌⩹⨱))⨟⋌⩍($7034$⪛$3463$-$2084$⨪↰⇹$2587$)","expression":"(((↔≮⫘↔110010010011)⪐)⋥≓≎((≮⫘↔10000101110⨸⪁≮⫘↔10000110010)⊪))∀⇚≩((≮⫘↔101000101111⫌⩹⨱)⫸⊐(≮⫘↔10011101110⫌⩹⨱))⨟⋌⩍(≮⫘↔1101101111010⪛≮⫘↔110110000111-≮⫘↔100000100100⨪↰⇹≮⫘↔101000011011)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2645,"operation_count":13,"complexity_ratio":203.46153846153845,"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":3219,"base":2}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1070,"base":2},"right_expr":{"type":"numeric_atoms","value":1074,"base":2}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2607,"base":2}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1262,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7034,"base":2},"right_expr":{"type":"numeric_atoms","value":3463,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2084,"base":2},"right_expr":{"type":"numeric_atoms","value":2587,"base":2}}}}},"used_operators":["LRNGc0VcxI","Qy55tPpLXF","eH2TOUuTDT","ruOEQAzv1W","zVYPLywUTj","g55IO6H4Gj","rGHVDoGpnC","mqXw5SEYmG","EBcxylXtPf","rysDP5nf3Z","uFcxV4UQCh","tmPS8pqC7x"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","Tcnh7f0tEr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3219","layer":4},{"info":"compute unary expreesion, input=3219, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2946","layer":3},{"info":"compute unary expreesion, input=-2946, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-5892","layer":2},{"info":"number node, value=1070","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=1074, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4288","layer":3},{"info":"compute unary expreesion, input=4288, 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":"compute binary expreesion, left_input=-5892, right_input=0, 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=2607","layer":4},{"info":"compute unary expreesion, input=2607, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6615","layer":3},{"info":"number node, value=1262","layer":4},{"info":"compute unary expreesion, input=1262, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3925","layer":3},{"info":"compute binary expreesion, left_input=6615, right_input=3925, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15575","layer":2},{"info":"number node, value=7034","layer":4},{"info":"number node, value=3463","layer":4},{"info":"compute binary expreesion, left_input=7034, right_input=3463, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=108","layer":3},{"info":"number node, value=2084","layer":4},{"info":"number node, value=2587","layer":4},{"info":"compute binary expreesion, left_input=2084, right_input=2587, 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=2084","layer":3},{"info":"compute binary expreesion, left_input=108, right_input=2084, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1976","layer":2},{"info":"compute binary expreesion, left_input=15575, right_input=-1976, 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=67, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((↔≮⫘↔110010010011)⪐)⋥≓≎((≮⫘↔10000101110⨸⪁≮⫘↔10000110010)⊪))∀⇚≩((≮⫘↔101000101111⫌⩹⨱)⫸⊐(≮⫘↔10011101110⫌⩹⨱))⨟⋌⩍(≮⫘↔1101101111010⪛≮⫘↔110110000111-≮⫘↔100000100100⨪↰⇹≮⫘↔101000011011)=NaN","reverse_text":"NaN=(((↔≮⫘↔110010010011)⪐)⋥≓≎((≮⫘↔10000101110⨸⪁≮⫘↔10000110010)⊪))∀⇚≩((≮⫘↔101000101111⫌⩹⨱)⫸⊐(≮⫘↔10011101110⫌⩹⨱))⨟⋌⩍(≮⫘↔1101101111010⪛≮⫘↔110110000111-≮⫘↔100000100100⨪↰⇹≮⫘↔101000011011)","cot":[{"info":"↔≮⫘↔110010010011=≮⫘↔-101110000010","layer":3},{"info":"≮⫘↔-101110000010⪐=≮⫘↔-1011100000100","layer":2},{"info":"≮⫘↔10000101110⨸⪁≮⫘↔10000110010=≮⫘↔1000011000000","layer":3},{"info":"≮⫘↔1000011000000⊪=≮⫘↔0","layer":2},{"info":"≮⫘↔-1011100000100⋥≓≎≮⫘↔0=≮⫘↔1000011","layer":1},{"info":"≮⫘↔101000101111⫌⩹⨱=≮⫘↔1100111010111","layer":3},{"info":"≮⫘↔10011101110⫌⩹⨱=≮⫘↔111101010101","layer":3},{"info":"≮⫘↔1100111010111⫸⊐≮⫘↔111101010101=≮⫘↔11110011010111","layer":2},{"info":"≮⫘↔1101101111010⪛≮⫘↔110110000111=≮⫘↔1101100","layer":3},{"info":"≮⫘↔100000100100⨪↰⇹≮⫘↔101000011011=≮⫘↔100000100100","layer":3},{"info":"≮⫘↔1101100-≮⫘↔100000100100=≮⫘↔-11110111000","layer":2},{"info":"≮⫘↔11110011010111⨟⋌⩍≮⫘↔-11110111000=NaN","layer":1},{"info":"≮⫘↔1000011∀⇚≩NaN=NaN","layer":0}]}
{"id":425,"expression_no_base_symbol":"((⋗⩬⋾(≉$1168$))⩷∴(($2927$⩠)⨰$1802$⇷$3782$))∸","expression":"((⋗⩬⋾(≉≮⫘↔10010010000))⩷∴((≮⫘↔101101101111⩠)⨰≮⫘↔11100001010⇷≮⫘↔111011000110))∸","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":25446,"operation_count":7,"complexity_ratio":3635.1428571428573,"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":1168,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2927,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1802,"base":2},"right_expr":{"type":"numeric_atoms","value":3782,"base":2}}}}},"used_operators":["o20kRiQErp","9FxExcQeMw","DpFCA1CohY","e1ybzncUwg","eewbuw0ToL","sJAwomhLZr","mp7IySMOzn"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"≮⫘↔10110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1168","layer":4},{"info":"compute unary expreesion, input=1168, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1699","layer":3},{"info":"compute unary expreesion, input=1699, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5097","layer":2},{"info":"number node, value=2927","layer":4},{"info":"compute unary expreesion, input=2927, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1802","layer":4},{"info":"number node, value=3782","layer":4},{"info":"compute binary expreesion, left_input=1802, right_input=3782, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7564","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7564, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-7554","layer":2},{"info":"compute binary expreesion, left_input=-5097, right_input=-7554, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4882","layer":1},{"info":"compute unary expreesion, input=4882, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":2,"result_base":2,"text":"((⋗⩬⋾(≉≮⫘↔10010010000))⩷∴((≮⫘↔101101101111⩠)⨰≮⫘↔11100001010⇷≮⫘↔111011000110))∸=≮⫘↔10110001","reverse_text":"≮⫘↔10110001=((⋗⩬⋾(≉≮⫘↔10010010000))⩷∴((≮⫘↔101101101111⩠)⨰≮⫘↔11100001010⇷≮⫘↔111011000110))∸","cot":[{"info":"≉≮⫘↔10010010000=≮⫘↔11010100011","layer":3},{"info":"⋗⩬⋾≮⫘↔11010100011=≮⫘↔-1001111101001","layer":2},{"info":"≮⫘↔101101101111⩠=≮⫘↔0","layer":3},{"info":"≮⫘↔11100001010⇷≮⫘↔111011000110=≮⫘↔1110110001100","layer":3},{"info":"≮⫘↔0⨰≮⫘↔1110110001100=≮⫘↔-1110110000010","layer":2},{"info":"≮⫘↔-1001111101001⩷∴≮⫘↔-1110110000010=≮⫘↔1001100010010","layer":1},{"info":"≮⫘↔1001100010010∸=≮⫘↔10110001","layer":0}]}
{"id":426,"expression_no_base_symbol":"($1376$≧⫂∧$1024$⪄$1414$⪢$6914$-($6779$⋓$1152$)∼(⇁⨣⪵$1903$))⨰(($3619$⪄$1963$)∑⇟⊟($1831$⋳⪒$5725$)⫌⩹⨱)","expression":"(≮⫘↔10101100000≧⫂∧≮⫘↔10000000000⪄≮⫘↔10110000110⪢≮⫘↔1101100000010-(≮⫘↔1101001111011⋓≮⫘↔10010000000)∼(⇁⨣⪵≮⫘↔11101101111))⨰((≮⫘↔111000100011⪄≮⫘↔11110101011)∑⇟⊟(≮⫘↔11100100111⋳⪒≮⫘↔1011001011101)⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7143,"operation_count":12,"complexity_ratio":595.25,"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":1376,"base":2},"right_expr":{"type":"numeric_atoms","value":1024,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1414,"base":2},"right_expr":{"type":"numeric_atoms","value":6914,"base":2}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6779,"base":2},"right_expr":{"type":"numeric_atoms","value":1152,"base":2}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1903,"base":2}}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3619,"base":2},"right_expr":{"type":"numeric_atoms","value":1963,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1831,"base":2},"right_expr":{"type":"numeric_atoms","value":5725,"base":2}}}}},"used_operators":["eewbuw0ToL","rysDP5nf3Z","SUmda5xLS4","Ph9nP6C5qx","dWAJyo7jo9","DyGG3AbaNP","T2fj7uvVaJ","inkyxCbjAn","EBcxylXtPf","U7g4x0WXJJ","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1376","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=1376, right_input=1024, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=551","layer":3},{"info":"number node, value=1414","layer":4},{"info":"number node, value=6914","layer":4},{"info":"compute binary expreesion, left_input=1414, right_input=6914, 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=551, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":2},{"info":"number node, value=6779","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=6779, right_input=1152, 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=1903","layer":4},{"info":"compute unary expreesion, input=1903, 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 = 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3619","layer":4},{"info":"number node, value=1963","layer":4},{"info":"compute binary expreesion, left_input=3619, right_input=1963, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-539553","layer":3},{"info":"number node, value=1831","layer":4},{"info":"number node, value=5725","layer":4},{"info":"compute binary expreesion, left_input=1831, right_input=5725, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2350","layer":3},{"info":"compute binary expreesion, left_input=-539553, right_input=-2350, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10101100000≧⫂∧≮⫘↔10000000000⪄≮⫘↔10110000110⪢≮⫘↔1101100000010-(≮⫘↔1101001111011⋓≮⫘↔10010000000)∼(⇁⨣⪵≮⫘↔11101101111))⨰((≮⫘↔111000100011⪄≮⫘↔11110101011)∑⇟⊟(≮⫘↔11100100111⋳⪒≮⫘↔1011001011101)⫌⩹⨱)=NaN","reverse_text":"NaN=(≮⫘↔10101100000≧⫂∧≮⫘↔10000000000⪄≮⫘↔10110000110⪢≮⫘↔1101100000010-(≮⫘↔1101001111011⋓≮⫘↔10010000000)∼(⇁⨣⪵≮⫘↔11101101111))⨰((≮⫘↔111000100011⪄≮⫘↔11110101011)∑⇟⊟(≮⫘↔11100100111⋳⪒≮⫘↔1011001011101)⫌⩹⨱)","cot":[{"info":"≮⫘↔10101100000≧⫂∧≮⫘↔10000000000=≮⫘↔1000100111","layer":3},{"info":"≮⫘↔10110000110⪢≮⫘↔1101100000010=NaN","layer":3},{"info":"≮⫘↔1000100111⪄NaN=NaN","layer":2},{"info":"≮⫘↔1101001111011⋓≮⫘↔10010000000=≮⫘↔0","layer":3},{"info":"⇁⨣⪵≮⫘↔11101101111=NaN","layer":3},{"info":"≮⫘↔0∼NaN=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"≮⫘↔111000100011⪄≮⫘↔11110101011=≮⫘↔-10000011101110100001","layer":3},{"info":"≮⫘↔11100100111⋳⪒≮⫘↔1011001011101=≮⫘↔-100100101110","layer":3},{"info":"≮⫘↔-10000011101110100001∑⇟⊟≮⫘↔-100100101110=NaN","layer":2},{"info":"NaN⫌⩹⨱=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":427,"expression_no_base_symbol":"(($3450$⫸⊐$2236$)⪢($5527$%$1759$)≭(($4802$⋫)⊭↱$1158$⨳⩥⨓$8294$))⪛(($1182$≣⋋)⨰($3209$*$3115$)*(($2636$⇋≉)⪒($3589$⨵⪆$7887$)))","expression":"((≮⫘↔110101111010⫸⊐≮⫘↔100010111100)⪢(≮⫘↔1010110010111%≮⫘↔11011011111)≭((≮⫘↔1001011000010⋫)⊭↱≮⫘↔10010000110⨳⩥⨓≮⫘↔10000001100110))⪛((≮⫘↔10010011110≣⋋)⨰(≮⫘↔110010001001*≮⫘↔110000101011)*((≮⫘↔101001001100⇋≉)⪒(≮⫘↔111000000101⨵⪆≮⫘↔1111011001111)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":36033,"operation_count":15,"complexity_ratio":2402.2,"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":3450,"base":2},"right_expr":{"type":"numeric_atoms","value":2236,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5527,"base":2},"right_expr":{"type":"numeric_atoms","value":1759,"base":2}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":4802,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1158,"base":2},"right_expr":{"type":"numeric_atoms","value":8294,"base":2}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1182,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3209,"base":2},"right_expr":{"type":"numeric_atoms","value":3115,"base":2}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2636,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3589,"base":2},"right_expr":{"type":"numeric_atoms","value":7887,"base":2}}}}},"used_operators":["uFcxV4UQCh","rxpJgHHUmx","dWAJyo7jo9","mqXw5SEYmG","k8jYdgA6NY","COABgblf1C","JL8yIekQnl","nCS4ZIUYfx","9HNa5Wba9A","eewbuw0ToL","Tcnh7f0tEr","f6k1SAg4EE","XIabStNQrY","2DQ55sFlQl"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3450","layer":4},{"info":"number node, value=2236","layer":4},{"info":"compute binary expreesion, left_input=3450, right_input=2236, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8819","layer":3},{"info":"number node, value=5527","layer":4},{"info":"number node, value=1759","layer":4},{"info":"compute binary expreesion, left_input=5527, right_input=1759, op_id = k8jYdgA6NY binary_op_definition= 'None', output=250","layer":3},{"info":"compute binary expreesion, left_input=8819, right_input=250, 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=4802","layer":4},{"info":"compute unary expreesion, input=4802, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4802","layer":3},{"info":"number node, value=1158","layer":4},{"info":"number node, value=8294","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=8294, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=7136","layer":3},{"info":"compute binary expreesion, left_input=4802, right_input=7136, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4673","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4673, 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=1182","layer":4},{"info":"compute unary expreesion, input=1182, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"number node, value=3209","layer":4},{"info":"number node, value=3115","layer":4},{"info":"compute binary expreesion, left_input=3209, right_input=3115, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9996035","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=9996035, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-9996025","layer":2},{"info":"number node, value=2636","layer":4},{"info":"compute unary expreesion, input=2636, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5174","layer":3},{"info":"number node, value=3589","layer":4},{"info":"number node, value=7887","layer":4},{"info":"compute binary expreesion, left_input=3589, right_input=7887, 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=5174, right_input=160, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5334","layer":2},{"info":"compute binary expreesion, left_input=-9996025, right_input=-5334, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=inf","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=inf, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110101111010⫸⊐≮⫘↔100010111100)⪢(≮⫘↔1010110010111%≮⫘↔11011011111)≭((≮⫘↔1001011000010⋫)⊭↱≮⫘↔10010000110⨳⩥⨓≮⫘↔10000001100110))⪛((≮⫘↔10010011110≣⋋)⨰(≮⫘↔110010001001*≮⫘↔110000101011)*((≮⫘↔101001001100⇋≉)⪒(≮⫘↔111000000101⨵⪆≮⫘↔1111011001111)))=NaN","reverse_text":"NaN=((≮⫘↔110101111010⫸⊐≮⫘↔100010111100)⪢(≮⫘↔1010110010111%≮⫘↔11011011111)≭((≮⫘↔1001011000010⋫)⊭↱≮⫘↔10010000110⨳⩥⨓≮⫘↔10000001100110))⪛((≮⫘↔10010011110≣⋋)⨰(≮⫘↔110010001001*≮⫘↔110000101011)*((≮⫘↔101001001100⇋≉)⪒(≮⫘↔111000000101⨵⪆≮⫘↔1111011001111)))","cot":[{"info":"≮⫘↔110101111010⫸⊐≮⫘↔100010111100=≮⫘↔10001001110011","layer":3},{"info":"≮⫘↔1010110010111%≮⫘↔11011011111=≮⫘↔11111010","layer":3},{"info":"≮⫘↔10001001110011⪢≮⫘↔11111010=NaN","layer":2},{"info":"≮⫘↔1001011000010⋫=≮⫘↔1001011000010","layer":3},{"info":"≮⫘↔10010000110⨳⩥⨓≮⫘↔10000001100110=≮⫘↔1101111100000","layer":3},{"info":"≮⫘↔1001011000010⊭↱≮⫘↔1101111100000=≮⫘↔1001001000001","layer":2},{"info":"NaN≭≮⫘↔1001001000001=NaN","layer":1},{"info":"≮⫘↔10010011110≣⋋=≮⫘↔0","layer":3},{"info":"≮⫘↔110010001001*≮⫘↔110000101011=≮⫘↔100110001000011100000011","layer":3},{"info":"≮⫘↔0⨰≮⫘↔100110001000011100000011=≮⫘↔-100110001000011011111001","layer":2},{"info":"≮⫘↔101001001100⇋≉=≮⫘↔1010000110110","layer":3},{"info":"≮⫘↔111000000101⨵⪆≮⫘↔1111011001111=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1010000110110⪒≮⫘↔10100000=≮⫘↔-1010011010110","layer":2},{"info":"≮⫘↔-100110001000011011111001*≮⫘↔-1010011010110=Inf","layer":1},{"info":"NaN⪛Inf=NaN","layer":0}]}
{"id":428,"expression_no_base_symbol":"(($5522$⪛$1891$⪨≂($6655$⋫))≦≮≮)⋷($1136$⇼⇔∾$2241$)⩚⊴⇥$4068$⇷$3820$⨽(⫓⪴$3933$)⪢($1046$⋳⪒$2714$)","expression":"((≮⫘↔1010110010010⪛≮⫘↔11101100011⪨≂(≮⫘↔1100111111111⋫))≦≮≮)⋷(≮⫘↔10001110000⇼⇔∾≮⫘↔100011000001)⩚⊴⇥≮⫘↔111111100100⇷≮⫘↔111011101100⨽(⫓⪴≮⫘↔111101011101)⪢(≮⫘↔10000010110⋳⪒≮⫘↔101010011010)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":357801,"operation_count":12,"complexity_ratio":29816.75,"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":5522,"base":2},"right_expr":{"type":"numeric_atoms","value":1891,"base":2}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":6655,"base":2}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1136,"base":2},"right_expr":{"type":"numeric_atoms","value":2241,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4068,"base":2},"right_expr":{"type":"numeric_atoms","value":3820,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3933,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1046,"base":2},"right_expr":{"type":"numeric_atoms","value":2714,"base":2}}}}},"used_operators":["23Mk6UjR3U","D4vGDi5EA2","sdazOOVcIp","uFcxV4UQCh","JL8yIekQnl","8HhzD0ZcuI","NTOWxs364D","tifHPKVTfV","mp7IySMOzn","dWAJyo7jo9","eLxqMNBOBk","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tmPS8pqC7x","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5522","layer":4},{"info":"number node, value=1891","layer":4},{"info":"compute binary expreesion, left_input=5522, right_input=1891, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1740","layer":3},{"info":"number node, value=6655","layer":4},{"info":"compute unary expreesion, input=6655, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=6655","layer":3},{"info":"compute binary expreesion, left_input=1740, right_input=6655, 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=-9728","layer":2},{"info":"compute unary expreesion, input=-9728, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=29184","layer":1},{"info":"number node, value=1136","layer":4},{"info":"number node, value=2241","layer":4},{"info":"compute binary expreesion, left_input=1136, right_input=2241, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1105","layer":3},{"info":"number node, value=4068","layer":4},{"info":"number node, value=3820","layer":4},{"info":"compute binary expreesion, left_input=4068, right_input=3820, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7640","layer":3},{"info":"compute binary expreesion, left_input=1105, right_input=7640, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8866","layer":2},{"info":"number node, value=3933","layer":4},{"info":"compute unary expreesion, input=3933, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=15468489","layer":3},{"info":"number node, value=1046","layer":4},{"info":"number node, value=2714","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=2714, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-909","layer":3},{"info":"compute binary expreesion, left_input=15468489, right_input=-909, 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=-8866, 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=29184, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010110010010⪛≮⫘↔11101100011⪨≂(≮⫘↔1100111111111⋫))≦≮≮)⋷(≮⫘↔10001110000⇼⇔∾≮⫘↔100011000001)⩚⊴⇥≮⫘↔111111100100⇷≮⫘↔111011101100⨽(⫓⪴≮⫘↔111101011101)⪢(≮⫘↔10000010110⋳⪒≮⫘↔101010011010)=NaN","reverse_text":"NaN=((≮⫘↔1010110010010⪛≮⫘↔11101100011⪨≂(≮⫘↔1100111111111⋫))≦≮≮)⋷(≮⫘↔10001110000⇼⇔∾≮⫘↔100011000001)⩚⊴⇥≮⫘↔111111100100⇷≮⫘↔111011101100⨽(⫓⪴≮⫘↔111101011101)⪢(≮⫘↔10000010110⋳⪒≮⫘↔101010011010)","cot":[{"info":"≮⫘↔1010110010010⪛≮⫘↔11101100011=≮⫘↔11011001100","layer":3},{"info":"≮⫘↔1100111111111⋫=≮⫘↔1100111111111","layer":3},{"info":"≮⫘↔11011001100⪨≂≮⫘↔1100111111111=≮⫘↔-10011000000000","layer":2},{"info":"≮⫘↔-10011000000000≦≮≮=≮⫘↔111001000000000","layer":1},{"info":"≮⫘↔10001110000⇼⇔∾≮⫘↔100011000001=≮⫘↔10001010001","layer":3},{"info":"≮⫘↔111111100100⇷≮⫘↔111011101100=≮⫘↔1110111011000","layer":3},{"info":"≮⫘↔10001010001⩚⊴⇥≮⫘↔1110111011000=≮⫘↔-10001010100010","layer":2},{"info":"⫓⪴≮⫘↔111101011101=≮⫘↔111011000000011111001001","layer":3},{"info":"≮⫘↔10000010110⋳⪒≮⫘↔101010011010=≮⫘↔-1110001101","layer":3},{"info":"≮⫘↔111011000000011111001001⪢≮⫘↔-1110001101=NaN","layer":2},{"info":"≮⫘↔-10001010100010⨽NaN=NaN","layer":1},{"info":"≮⫘↔111001000000000⋷NaN=NaN","layer":0}]}
{"id":429,"expression_no_base_symbol":"(($5155$⫸⊐$2194$)⋥≓≎($6825$⊭↱$6776$)⇼⇔∾$4310$⪢$3025$⫥∨⫟$1715$≹⇙⪍$5725$)⨓(((⪝⪂⫅$3020$)⩚⊴⇥($1173$↺$2572$))≧⫂∧($2698$≎⊠⪸$4212$≭($5876$⨎$2199$)))","expression":"((≮⫘↔1010000100011⫸⊐≮⫘↔100010010010)⋥≓≎(≮⫘↔1101010101001⊭↱≮⫘↔1101001111000)⇼⇔∾≮⫘↔1000011010110⪢≮⫘↔101111010001⫥∨⫟≮⫘↔11010110011≹⇙⪍≮⫘↔1011001011101)⨓(((⪝⪂⫅≮⫘↔101111001100)⩚⊴⇥(≮⫘↔10010010101↺≮⫘↔101000001100))≧⫂∧(≮⫘↔101010001010≎⊠⪸≮⫘↔1000001110100≭(≮⫘↔1011011110100⨎≮⫘↔100010010111)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4110,"operation_count":15,"complexity_ratio":274.0,"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":5155,"base":2},"right_expr":{"type":"numeric_atoms","value":2194,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6825,"base":2},"right_expr":{"type":"numeric_atoms","value":6776,"base":2}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4310,"base":2},"right_expr":{"type":"numeric_atoms","value":3025,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1715,"base":2},"right_expr":{"type":"numeric_atoms","value":5725,"base":2}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3020,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1173,"base":2},"right_expr":{"type":"numeric_atoms","value":2572,"base":2}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2698,"base":2},"right_expr":{"type":"numeric_atoms","value":4212,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5876,"base":2},"right_expr":{"type":"numeric_atoms","value":2199,"base":2}}}}},"used_operators":["3ViojmjbAp","tifHPKVTfV","Qy55tPpLXF","mqXw5SEYmG","COABgblf1C","KYD54nUTWz","dWAJyo7jo9","AHs5Up7iyr","Ph9nP6C5qx","NTOWxs364D","XTarYq4gQB","7j4O788W3g","rxpJgHHUmx","bJkvcejdHO","rJVOvQCfKK"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","k8jYdgA6NY","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5155","layer":4},{"info":"number node, value=2194","layer":4},{"info":"compute binary expreesion, left_input=5155, right_input=2194, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8651","layer":3},{"info":"number node, value=6825","layer":4},{"info":"number node, value=6776","layer":4},{"info":"compute binary expreesion, left_input=6825, right_input=6776, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-93","layer":3},{"info":"compute binary expreesion, left_input=8651, right_input=-93, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-8804","layer":2},{"info":"number node, value=4310","layer":4},{"info":"number node, value=3025","layer":4},{"info":"compute binary expreesion, left_input=4310, right_input=3025, 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=1715","layer":4},{"info":"number node, value=5725","layer":4},{"info":"compute binary expreesion, left_input=1715, right_input=5725, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-8804, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=3020","layer":4},{"info":"compute unary expreesion, input=3020, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-443940","layer":3},{"info":"number node, value=1173","layer":4},{"info":"number node, value=2572","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=2572, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2572","layer":3},{"info":"compute binary expreesion, left_input=-443940, right_input=2572, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=441247","layer":2},{"info":"number node, value=2698","layer":4},{"info":"number node, value=4212","layer":4},{"info":"compute binary expreesion, left_input=2698, right_input=4212, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=698309","layer":3},{"info":"number node, value=5876","layer":4},{"info":"number node, value=2199","layer":4},{"info":"compute binary expreesion, left_input=5876, right_input=2199, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2199","layer":3},{"info":"compute binary expreesion, left_input=698309, right_input=2199, 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=441247, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', 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":2,"result_base":2,"text":"((≮⫘↔1010000100011⫸⊐≮⫘↔100010010010)⋥≓≎(≮⫘↔1101010101001⊭↱≮⫘↔1101001111000)⇼⇔∾≮⫘↔1000011010110⪢≮⫘↔101111010001⫥∨⫟≮⫘↔11010110011≹⇙⪍≮⫘↔1011001011101)⨓(((⪝⪂⫅≮⫘↔101111001100)⩚⊴⇥(≮⫘↔10010010101↺≮⫘↔101000001100))≧⫂∧(≮⫘↔101010001010≎⊠⪸≮⫘↔1000001110100≭(≮⫘↔1011011110100⨎≮⫘↔100010010111)))=NaN","reverse_text":"NaN=((≮⫘↔1010000100011⫸⊐≮⫘↔100010010010)⋥≓≎(≮⫘↔1101010101001⊭↱≮⫘↔1101001111000)⇼⇔∾≮⫘↔1000011010110⪢≮⫘↔101111010001⫥∨⫟≮⫘↔11010110011≹⇙⪍≮⫘↔1011001011101)⨓(((⪝⪂⫅≮⫘↔101111001100)⩚⊴⇥(≮⫘↔10010010101↺≮⫘↔101000001100))≧⫂∧(≮⫘↔101010001010≎⊠⪸≮⫘↔1000001110100≭(≮⫘↔1011011110100⨎≮⫘↔100010010111)))","cot":[{"info":"≮⫘↔1010000100011⫸⊐≮⫘↔100010010010=≮⫘↔10000111001011","layer":3},{"info":"≮⫘↔1101010101001⊭↱≮⫘↔1101001111000=≮⫘↔-1011101","layer":3},{"info":"≮⫘↔10000111001011⋥≓≎≮⫘↔-1011101=≮⫘↔-10001001100100","layer":2},{"info":"≮⫘↔1000011010110⪢≮⫘↔101111010001=NaN","layer":3},{"info":"≮⫘↔11010110011≹⇙⪍≮⫘↔1011001011101=NaN","layer":3},{"info":"NaN⫥∨⫟NaN=NaN","layer":2},{"info":"≮⫘↔-10001001100100⇼⇔∾NaN=NaN","layer":1},{"info":"⪝⪂⫅≮⫘↔101111001100=≮⫘↔-1101100011000100100","layer":3},{"info":"≮⫘↔10010010101↺≮⫘↔101000001100=≮⫘↔101000001100","layer":3},{"info":"≮⫘↔-1101100011000100100⩚⊴⇥≮⫘↔101000001100=≮⫘↔1101011101110011111","layer":2},{"info":"≮⫘↔101010001010≎⊠⪸≮⫘↔1000001110100=≮⫘↔10101010011111000101","layer":3},{"info":"≮⫘↔1011011110100⨎≮⫘↔100010010111=≮⫘↔100010010111","layer":3},{"info":"≮⫘↔10101010011111000101≭≮⫘↔100010010111=NaN","layer":2},{"info":"≮⫘↔1101011101110011111≧⫂∧NaN=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":430,"expression_no_base_symbol":"↽≂($3936$⫡⨏$6910$)≎⊠⪸$2524$≧⫂∧$1099$⩚⊴⇥($4465$⨽$1353$)⪮%⊝($7597$-$1024$)","expression":"↽≂(≮⫘↔111101100000⫡⨏≮⫘↔1101011111110)≎⊠⪸≮⫘↔100111011100≧⫂∧≮⫘↔10001001011⩚⊴⇥(≮⫘↔1000101110001⨽≮⫘↔10101001001)⪮%⊝(≮⫘↔1110110101101-≮⫘↔10000000000)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4768,"operation_count":8,"complexity_ratio":596.0,"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":3936,"base":2},"right_expr":{"type":"numeric_atoms","value":6910,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2524,"base":2},"right_expr":{"type":"numeric_atoms","value":1099,"base":2}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4465,"base":2},"right_expr":{"type":"numeric_atoms","value":1353,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7597,"base":2},"right_expr":{"type":"numeric_atoms","value":1024,"base":2}}}}},"used_operators":["u6S6b8DprG","NTOWxs364D","bJkvcejdHO","QMFrweE19q","Ph9nP6C5qx","IWmyXbctLI","8HhzD0ZcuI","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"≮⫘↔-1101001100111010000000110110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3936","layer":4},{"info":"number node, value=6910","layer":4},{"info":"compute binary expreesion, left_input=3936, right_input=6910, 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=34283","layer":3},{"info":"number node, value=2524","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=2524, right_input=1099, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=626","layer":3},{"info":"compute binary expreesion, left_input=34283, right_input=626, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=8878824","layer":2},{"info":"number node, value=4465","layer":4},{"info":"number node, value=1353","layer":4},{"info":"compute binary expreesion, left_input=4465, right_input=1353, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-59811420","layer":3},{"info":"number node, value=7597","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=7597, right_input=1024, op_id = rysDP5nf3Z binary_op_definition= 'None', output=6573","layer":3},{"info":"compute binary expreesion, left_input=-59811420, right_input=6573, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-119622524","layer":2},{"info":"compute binary expreesion, left_input=8878824, right_input=-119622524, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=110743579","layer":1},{"info":"compute unary expreesion, input=110743579, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-221487158","layer":0}],"base":2,"result_base":2,"text":"↽≂(≮⫘↔111101100000⫡⨏≮⫘↔1101011111110)≎⊠⪸≮⫘↔100111011100≧⫂∧≮⫘↔10001001011⩚⊴⇥(≮⫘↔1000101110001⨽≮⫘↔10101001001)⪮%⊝(≮⫘↔1110110101101-≮⫘↔10000000000)=≮⫘↔-1101001100111010000000110110","reverse_text":"≮⫘↔-1101001100111010000000110110=↽≂(≮⫘↔111101100000⫡⨏≮⫘↔1101011111110)≎⊠⪸≮⫘↔100111011100≧⫂∧≮⫘↔10001001011⩚⊴⇥(≮⫘↔1000101110001⨽≮⫘↔10101001001)⪮%⊝(≮⫘↔1110110101101-≮⫘↔10000000000)","cot":[{"info":"≮⫘↔111101100000⫡⨏≮⫘↔1101011111110=≮⫘↔1000010111101011","layer":3},{"info":"≮⫘↔100111011100≧⫂∧≮⫘↔10001001011=≮⫘↔1001110010","layer":3},{"info":"≮⫘↔1000010111101011≎⊠⪸≮⫘↔1001110010=≮⫘↔100001110111101011101000","layer":2},{"info":"≮⫘↔1000101110001⨽≮⫘↔10101001001=≮⫘↔-11100100001010011001011100","layer":3},{"info":"≮⫘↔1110110101101-≮⫘↔10000000000=≮⫘↔1100110101101","layer":3},{"info":"≮⫘↔-11100100001010011001011100⪮%⊝≮⫘↔1100110101101=≮⫘↔-111001000010100101101111100","layer":2},{"info":"≮⫘↔100001110111101011101000⩚⊴⇥≮⫘↔-111001000010100101101111100=≮⫘↔110100110011101000000011011","layer":1},{"info":"↽≂≮⫘↔110100110011101000000011011=≮⫘↔-1101001100111010000000110110","layer":0}]}
{"id":431,"expression_no_base_symbol":"($2690$⇷$1385$)⪮%⊝($3052$+$1923$)↺(($7087$⫌⩹⨱)↛⩡⫤)⨸⪁(($3279$≦≮≮)⋥≓≎$1529$≹⇙⪍$7323$⇼⇔∾(⩦⩻⨪($1249$⨸⪁$2366$)))","expression":"(≮⫘↔101010000010⇷≮⫘↔10101101001)⪮%⊝(≮⫘↔101111101100+≮⫘↔11110000011)↺((≮⫘↔1101110101111⫌⩹⨱)↛⩡⫤)⨸⪁((≮⫘↔110011001111≦≮≮)⋥≓≎≮⫘↔10111111001≹⇙⪍≮⫘↔1110010011011⇼⇔∾(⩦⩻⨪(≮⫘↔10011100001⨸⪁≮⫘↔100100111110)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":84561,"operation_count":13,"complexity_ratio":6504.692307692308,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2690,"base":2},"right_expr":{"type":"numeric_atoms","value":1385,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3052,"base":2},"right_expr":{"type":"numeric_atoms","value":1923,"base":2}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":7087,"base":2}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3279,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1529,"base":2},"right_expr":{"type":"numeric_atoms","value":7323,"base":2}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1249,"base":2},"right_expr":{"type":"numeric_atoms","value":2366,"base":2}}}}},"used_operators":["g55IO6H4Gj","7j4O788W3g","IWmyXbctLI","mp7IySMOzn","W4YGzv6Whe","FU0Cs4j7VP","EBcxylXtPf","tifHPKVTfV","Qy55tPpLXF","D4vGDi5EA2","AHs5Up7iyr","2td37pGCOC"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-10001110110111100011110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2690","layer":4},{"info":"number node, value=1385","layer":4},{"info":"compute binary expreesion, left_input=2690, right_input=1385, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2770","layer":3},{"info":"number node, value=3052","layer":4},{"info":"number node, value=1923","layer":4},{"info":"compute binary expreesion, left_input=3052, right_input=1923, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4975","layer":3},{"info":"compute binary expreesion, left_input=2770, right_input=4975, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5856","layer":2},{"info":"number node, value=7087","layer":4},{"info":"compute unary expreesion, input=7087, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=15575","layer":3},{"info":"compute unary expreesion, input=15575, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-2347914","layer":2},{"info":"compute binary expreesion, left_input=5856, right_input=-2347914, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-2347914","layer":1},{"info":"number node, value=3279","layer":4},{"info":"compute unary expreesion, input=3279, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-9837","layer":3},{"info":"number node, value=1529","layer":4},{"info":"number node, value=7323","layer":4},{"info":"compute binary expreesion, left_input=1529, right_input=7323, 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=-9837, right_input=nan, 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=1249","layer":4},{"info":"number node, value=2366","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=2366, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7230","layer":3},{"info":"compute unary expreesion, input=7230, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7230","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=7230, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=7163","layer":1},{"info":"compute binary expreesion, left_input=-2347914, right_input=7163, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-4681502","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101010000010⇷≮⫘↔10101101001)⪮%⊝(≮⫘↔101111101100+≮⫘↔11110000011)↺((≮⫘↔1101110101111⫌⩹⨱)↛⩡⫤)⨸⪁((≮⫘↔110011001111≦≮≮)⋥≓≎≮⫘↔10111111001≹⇙⪍≮⫘↔1110010011011⇼⇔∾(⩦⩻⨪(≮⫘↔10011100001⨸⪁≮⫘↔100100111110)))=≮⫘↔-10001110110111100011110","reverse_text":"≮⫘↔-10001110110111100011110=(≮⫘↔101010000010⇷≮⫘↔10101101001)⪮%⊝(≮⫘↔101111101100+≮⫘↔11110000011)↺((≮⫘↔1101110101111⫌⩹⨱)↛⩡⫤)⨸⪁((≮⫘↔110011001111≦≮≮)⋥≓≎≮⫘↔10111111001≹⇙⪍≮⫘↔1110010011011⇼⇔∾(⩦⩻⨪(≮⫘↔10011100001⨸⪁≮⫘↔100100111110)))","cot":[{"info":"≮⫘↔101010000010⇷≮⫘↔10101101001=≮⫘↔101011010010","layer":3},{"info":"≮⫘↔101111101100+≮⫘↔11110000011=≮⫘↔1001101101111","layer":3},{"info":"≮⫘↔101011010010⪮%⊝≮⫘↔1001101101111=≮⫘↔1011011100000","layer":2},{"info":"≮⫘↔1101110101111⫌⩹⨱=≮⫘↔11110011010111","layer":3},{"info":"≮⫘↔11110011010111↛⩡⫤=≮⫘↔-1000111101001110001010","layer":2},{"info":"≮⫘↔1011011100000↺≮⫘↔-1000111101001110001010=≮⫘↔-1000111101001110001010","layer":1},{"info":"≮⫘↔110011001111≦≮≮=≮⫘↔-10011001101101","layer":3},{"info":"≮⫘↔10111111001≹⇙⪍≮⫘↔1110010011011=NaN","layer":3},{"info":"≮⫘↔-10011001101101⋥≓≎NaN=≮⫘↔1000011","layer":2},{"info":"≮⫘↔10011100001⨸⪁≮⫘↔100100111110=≮⫘↔1110000111110","layer":3},{"info":"⩦⩻⨪≮⫘↔1110000111110=≮⫘↔1110000111110","layer":2},{"info":"≮⫘↔1000011⇼⇔∾≮⫘↔1110000111110=≮⫘↔1101111111011","layer":1},{"info":"≮⫘↔-1000111101001110001010⨸⪁≮⫘↔1101111111011=≮⫘↔-10001110110111100011110","layer":0}]}
{"id":432,"expression_no_base_symbol":"((⨵≀≌$5544$⪮%⊝$1381$)⪄($1373$⇼⇔∾$3042$-$2925$↺$2013$))⨟⋌⩍(⨈⫕($2422$≦≮≮)⩚⊴⇥(⩦⩻⨪$3092$))","expression":"((⨵≀≌≮⫘↔1010110101000⪮%⊝≮⫘↔10101100101)⪄(≮⫘↔10101011101⇼⇔∾≮⫘↔101111100010-≮⫘↔101101101101↺≮⫘↔11111011101))⨟⋌⩍(⨈⫕(≮⫘↔100101110110≦≮≮)⩚⊴⇥(⩦⩻⨪≮⫘↔110000010100))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1099,"operation_count":11,"complexity_ratio":99.9090909090909,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5544,"base":2},"right_expr":{"type":"numeric_atoms","value":1381,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1373,"base":2},"right_expr":{"type":"numeric_atoms","value":3042,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2925,"base":2},"right_expr":{"type":"numeric_atoms","value":2013,"base":2}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2422,"base":2}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3092,"base":2}}}}},"used_operators":["rGHVDoGpnC","SUmda5xLS4","srAu1WTS94","IWmyXbctLI","rysDP5nf3Z","tifHPKVTfV","7j4O788W3g","megm06wKyl","NTOWxs364D","D4vGDi5EA2","2td37pGCOC"],"dependent_operators":["Tcnh7f0tEr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5544","layer":4},{"info":"number node, value=1381","layer":4},{"info":"compute binary expreesion, left_input=5544, right_input=1381, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11404","layer":3},{"info":"compute unary expreesion, input=11404, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-34212","layer":2},{"info":"number node, value=1373","layer":4},{"info":"number node, value=3042","layer":4},{"info":"compute binary expreesion, left_input=1373, right_input=3042, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1669","layer":3},{"info":"number node, value=2925","layer":4},{"info":"number node, value=2013","layer":4},{"info":"compute binary expreesion, left_input=2925, right_input=2013, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2013","layer":3},{"info":"compute binary expreesion, left_input=1669, right_input=2013, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-344","layer":2},{"info":"compute binary expreesion, left_input=-34212, right_input=-344, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=2422","layer":4},{"info":"compute unary expreesion, input=2422, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-7266","layer":3},{"info":"number node, value=3092","layer":4},{"info":"compute unary expreesion, input=3092, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3092","layer":3},{"info":"compute binary expreesion, left_input=-7266, right_input=3092, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=4053","layer":2},{"info":"compute unary expreesion, input=4053, 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=3979, right_input=-21, 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":0}],"base":2,"result_base":2,"text":"((⨵≀≌≮⫘↔1010110101000⪮%⊝≮⫘↔10101100101)⪄(≮⫘↔10101011101⇼⇔∾≮⫘↔101111100010-≮⫘↔101101101101↺≮⫘↔11111011101))⨟⋌⩍(⨈⫕(≮⫘↔100101110110≦≮≮)⩚⊴⇥(⩦⩻⨪≮⫘↔110000010100))=≮⫘↔0","reverse_text":"≮⫘↔0=((⨵≀≌≮⫘↔1010110101000⪮%⊝≮⫘↔10101100101)⪄(≮⫘↔10101011101⇼⇔∾≮⫘↔101111100010-≮⫘↔101101101101↺≮⫘↔11111011101))⨟⋌⩍(⨈⫕(≮⫘↔100101110110≦≮≮)⩚⊴⇥(⩦⩻⨪≮⫘↔110000010100))","cot":[{"info":"≮⫘↔1010110101000⪮%⊝≮⫘↔10101100101=≮⫘↔10110010001100","layer":3},{"info":"⨵≀≌≮⫘↔10110010001100=≮⫘↔-1000010110100100","layer":2},{"info":"≮⫘↔10101011101⇼⇔∾≮⫘↔101111100010=≮⫘↔11010000101","layer":3},{"info":"≮⫘↔101101101101↺≮⫘↔11111011101=≮⫘↔11111011101","layer":3},{"info":"≮⫘↔11010000101-≮⫘↔11111011101=≮⫘↔-101011000","layer":2},{"info":"≮⫘↔-1000010110100100⪄≮⫘↔-101011000=≮⫘↔111110001011","layer":1},{"info":"≮⫘↔100101110110≦≮≮=≮⫘↔-1110001100010","layer":3},{"info":"⩦⩻⨪≮⫘↔110000010100=≮⫘↔110000010100","layer":3},{"info":"≮⫘↔-1110001100010⩚⊴⇥≮⫘↔110000010100=≮⫘↔111111010101","layer":2},{"info":"⨈⫕≮⫘↔111111010101=≮⫘↔-10101","layer":1},{"info":"≮⫘↔111110001011⨟⋌⩍≮⫘↔-10101=≮⫘↔0","layer":0}]}
{"id":433,"expression_no_base_symbol":"(($1593$⨽$3536$)⨰$6773$≹⇙⪍$3609$⫸⊐(⋗⩬⋾$1243$)⨽(⩦⩻⨪$1365$))⨐⩸⫘(≤/(⨵≀≌$3845$)⋝⋈⪟$6901$⨓$1889$)","expression":"((≮⫘↔11000111001⨽≮⫘↔110111010000)⨰≮⫘↔1101001110101≹⇙⪍≮⫘↔111000011001⫸⊐(⋗⩬⋾≮⫘↔10011011011)⨽(⩦⩻⨪≮⫘↔10101010101))⨐⩸⫘(≤/(⨵≀≌≮⫘↔111100000101)⋝⋈⪟≮⫘↔1101011110101⨓≮⫘↔11101100001)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7260,"operation_count":12,"complexity_ratio":605.0,"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":1593,"base":2},"right_expr":{"type":"numeric_atoms","value":3536,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6773,"base":2},"right_expr":{"type":"numeric_atoms","value":3609,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1243,"base":2}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1365,"base":2}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3845,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6901,"base":2},"right_expr":{"type":"numeric_atoms","value":1889,"base":2}}}}},"used_operators":["fu6greOZ01","mqXw5SEYmG","eewbuw0ToL","8HhzD0ZcuI","AHs5Up7iyr","DpFCA1CohY","2td37pGCOC","eLAdDNolq6","2DDjHMKMc0","srAu1WTS94","3ViojmjbAp"],"dependent_operators":["3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1593","layer":4},{"info":"number node, value=3536","layer":4},{"info":"compute binary expreesion, left_input=1593, right_input=3536, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7622241","layer":3},{"info":"number node, value=6773","layer":4},{"info":"number node, value=3609","layer":4},{"info":"compute binary expreesion, left_input=6773, right_input=3609, 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=-7622241, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=1243","layer":4},{"info":"compute unary expreesion, input=1243, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3729","layer":3},{"info":"number node, value=1365","layer":4},{"info":"compute unary expreesion, input=1365, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1365","layer":3},{"info":"compute binary expreesion, left_input=-3729, right_input=1365, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-41719104","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-41719104, 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=3845","layer":4},{"info":"compute unary expreesion, input=3845, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11535","layer":3},{"info":"number node, value=6901","layer":4},{"info":"number node, value=1889","layer":4},{"info":"compute binary expreesion, left_input=6901, right_input=1889, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1892","layer":3},{"info":"compute binary expreesion, left_input=-11535, right_input=-1892, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-11535","layer":2},{"info":"compute unary expreesion, input=-11535, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=12019","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=12019, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11000111001⨽≮⫘↔110111010000)⨰≮⫘↔1101001110101≹⇙⪍≮⫘↔111000011001⫸⊐(⋗⩬⋾≮⫘↔10011011011)⨽(⩦⩻⨪≮⫘↔10101010101))⨐⩸⫘(≤/(⨵≀≌≮⫘↔111100000101)⋝⋈⪟≮⫘↔1101011110101⨓≮⫘↔11101100001)=NaN","reverse_text":"NaN=((≮⫘↔11000111001⨽≮⫘↔110111010000)⨰≮⫘↔1101001110101≹⇙⪍≮⫘↔111000011001⫸⊐(⋗⩬⋾≮⫘↔10011011011)⨽(⩦⩻⨪≮⫘↔10101010101))⨐⩸⫘(≤/(⨵≀≌≮⫘↔111100000101)⋝⋈⪟≮⫘↔1101011110101⨓≮⫘↔11101100001)","cot":[{"info":"≮⫘↔11000111001⨽≮⫘↔110111010000=≮⫘↔-11101000100111001100001","layer":3},{"info":"≮⫘↔1101001110101≹⇙⪍≮⫘↔111000011001=NaN","layer":3},{"info":"≮⫘↔-11101000100111001100001⨰NaN=NaN","layer":2},{"info":"⋗⩬⋾≮⫘↔10011011011=≮⫘↔-111010010001","layer":3},{"info":"⩦⩻⨪≮⫘↔10101010101=≮⫘↔10101010101","layer":3},{"info":"≮⫘↔-111010010001⨽≮⫘↔10101010101=≮⫘↔-10011111001001010101000000","layer":2},{"info":"NaN⫸⊐≮⫘↔-10011111001001010101000000=NaN","layer":1},{"info":"⨵≀≌≮⫘↔111100000101=≮⫘↔-10110100001111","layer":3},{"info":"≮⫘↔1101011110101⨓≮⫘↔11101100001=≮⫘↔-11101100100","layer":3},{"info":"≮⫘↔-10110100001111⋝⋈⪟≮⫘↔-11101100100=≮⫘↔-10110100001111","layer":2},{"info":"≤/≮⫘↔-10110100001111=≮⫘↔10111011110011","layer":1},{"info":"NaN⨐⩸⫘≮⫘↔10111011110011=NaN","layer":0}]}
{"id":434,"expression_no_base_symbol":"⊙↵-($4222$∼$2955$+$1581$⪛$1485$⋷(↩$1579$)%$4324$∲⫓$4937$)","expression":"⊙↵-(≮⫘↔1000001111110∼≮⫘↔101110001011+≮⫘↔11000101101⪛≮⫘↔10111001101⋷(↩≮⫘↔11000101011)%≮⫘↔1000011100100∲⫓≮⫘↔1001101001001)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":137,"operation_count":8,"complexity_ratio":17.125,"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":4222,"base":2},"right_expr":{"type":"numeric_atoms","value":2955,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1581,"base":2},"right_expr":{"type":"numeric_atoms","value":1485,"base":2}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1579,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4324,"base":2},"right_expr":{"type":"numeric_atoms","value":4937,"base":2}}}}},"used_operators":["oWn0xqSxBt","23Mk6UjR3U","W4YGzv6Whe","DyGG3AbaNP","uFcxV4UQCh","k8jYdgA6NY","jLgFTUHLKL","i8ToyICDmI"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4222","layer":4},{"info":"number node, value=2955","layer":4},{"info":"compute binary expreesion, left_input=4222, right_input=2955, 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=1581","layer":4},{"info":"number node, value=1485","layer":4},{"info":"compute binary expreesion, left_input=1581, right_input=1485, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=96","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=96, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1579","layer":4},{"info":"compute unary expreesion, input=1579, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9852","layer":3},{"info":"number node, value=4324","layer":4},{"info":"number node, value=4937","layer":4},{"info":"compute binary expreesion, left_input=4324, right_input=4937, 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=-9852, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⊙↵-(≮⫘↔1000001111110∼≮⫘↔101110001011+≮⫘↔11000101101⪛≮⫘↔10111001101⋷(↩≮⫘↔11000101011)%≮⫘↔1000011100100∲⫓≮⫘↔1001101001001)=NaN","reverse_text":"NaN=⊙↵-(≮⫘↔1000001111110∼≮⫘↔101110001011+≮⫘↔11000101101⪛≮⫘↔10111001101⋷(↩≮⫘↔11000101011)%≮⫘↔1000011100100∲⫓≮⫘↔1001101001001)","cot":[{"info":"≮⫘↔1000001111110∼≮⫘↔101110001011=NaN","layer":3},{"info":"≮⫘↔11000101101⪛≮⫘↔10111001101=≮⫘↔1100000","layer":3},{"info":"NaN+≮⫘↔1100000=NaN","layer":2},{"info":"↩≮⫘↔11000101011=≮⫘↔-10011001111100","layer":3},{"info":"≮⫘↔1000011100100∲⫓≮⫘↔1001101001001=≮⫘↔0","layer":3},{"info":"≮⫘↔-10011001111100%≮⫘↔0=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":435,"expression_no_base_symbol":"(($2375$↺$6506$)⋳⪒$1142$≎⊠⪸$1338$%$3671$↙$3464$↺($1076$⊪))⊉≛↸((∥⊫$1562$)⨓($5757$∑⇟⊟$2751$)≣⋋)","expression":"((≮⫘↔100101000111↺≮⫘↔1100101101010)⋳⪒≮⫘↔10001110110≎⊠⪸≮⫘↔10100111010%≮⫘↔111001010111↙≮⫘↔110110001000↺(≮⫘↔10000110100⊪))⊉≛↸((∥⊫≮⫘↔11000011010)⨓(≮⫘↔1011001111101∑⇟⊟≮⫘↔101010111111)≣⋋)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3800,"operation_count":12,"complexity_ratio":316.6666666666667,"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":2375,"base":2},"right_expr":{"type":"numeric_atoms","value":6506,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1142,"base":2},"right_expr":{"type":"numeric_atoms","value":1338,"base":2}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3671,"base":2},"right_expr":{"type":"numeric_atoms","value":3464,"base":2}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1076,"base":2}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1562,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5757,"base":2},"right_expr":{"type":"numeric_atoms","value":2751,"base":2}}}}},"used_operators":["DZ8iAZOCBD","k8jYdgA6NY","12rbrZMWeM","7j4O788W3g","bJkvcejdHO","yyfyN0ffXY","zVYPLywUTj","Tcnh7f0tEr","3ViojmjbAp","P8v4zCKN1o","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2375","layer":4},{"info":"number node, value=6506","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=6506, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6506","layer":3},{"info":"number node, value=1142","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=1142, right_input=1338, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=295305","layer":3},{"info":"compute binary expreesion, left_input=6506, right_input=295305, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-282580","layer":2},{"info":"number node, value=3671","layer":4},{"info":"number node, value=3464","layer":4},{"info":"compute binary expreesion, left_input=3671, right_input=3464, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10392","layer":3},{"info":"number node, value=1076","layer":4},{"info":"compute unary expreesion, input=1076, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-10392, 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=-282580, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1562","layer":4},{"info":"compute unary expreesion, input=1562, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2430","layer":3},{"info":"number node, value=5757","layer":4},{"info":"number node, value=2751","layer":4},{"info":"compute binary expreesion, left_input=5757, right_input=2751, 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=2430, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":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":2,"result_base":2,"text":"((≮⫘↔100101000111↺≮⫘↔1100101101010)⋳⪒≮⫘↔10001110110≎⊠⪸≮⫘↔10100111010%≮⫘↔111001010111↙≮⫘↔110110001000↺(≮⫘↔10000110100⊪))⊉≛↸((∥⊫≮⫘↔11000011010)⨓(≮⫘↔1011001111101∑⇟⊟≮⫘↔101010111111)≣⋋)=NaN","reverse_text":"NaN=((≮⫘↔100101000111↺≮⫘↔1100101101010)⋳⪒≮⫘↔10001110110≎⊠⪸≮⫘↔10100111010%≮⫘↔111001010111↙≮⫘↔110110001000↺(≮⫘↔10000110100⊪))⊉≛↸((∥⊫≮⫘↔11000011010)⨓(≮⫘↔1011001111101∑⇟⊟≮⫘↔101010111111)≣⋋)","cot":[{"info":"≮⫘↔100101000111↺≮⫘↔1100101101010=≮⫘↔1100101101010","layer":3},{"info":"≮⫘↔10001110110≎⊠⪸≮⫘↔10100111010=≮⫘↔1001000000110001001","layer":3},{"info":"≮⫘↔1100101101010⋳⪒≮⫘↔1001000000110001001=≮⫘↔-1000100111111010100","layer":2},{"info":"≮⫘↔111001010111↙≮⫘↔110110001000=≮⫘↔-10100010011000","layer":3},{"info":"≮⫘↔10000110100⊪=≮⫘↔0","layer":3},{"info":"≮⫘↔-10100010011000↺≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔-1000100111111010100%≮⫘↔0=NaN","layer":1},{"info":"∥⊫≮⫘↔11000011010=≮⫘↔100101111110","layer":3},{"info":"≮⫘↔1011001111101∑⇟⊟≮⫘↔101010111111=NaN","layer":3},{"info":"≮⫘↔100101111110⨓NaN=NaN","layer":2},{"info":"NaN≣⋋=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":436,"expression_no_base_symbol":"$1110$⪮%⊝$1106$≧⫂∧($5875$-$2281$)≧⫂∧(($3350$↛⩡⫤)+$1638$≭$2233$)⨐⩸⫘($6286$⊴$2570$⩚⊴⇥(⨰⫟⨤$4565$)⊠≄⫣)","expression":"≮⫘↔10001010110⪮%⊝≮⫘↔10001010010≧⫂∧(≮⫘↔1011011110011-≮⫘↔100011101001)≧⫂∧((≮⫘↔110100010110↛⩡⫤)+≮⫘↔11001100110≭≮⫘↔100010111001)⨐⩸⫘(≮⫘↔1100010001110⊴≮⫘↔101000001010⩚⊴⇥(⨰⫟⨤≮⫘↔1000111010101)⊠≄⫣)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":31707,"operation_count":12,"complexity_ratio":2642.25,"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":1110,"base":2},"right_expr":{"type":"numeric_atoms","value":1106,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5875,"base":2},"right_expr":{"type":"numeric_atoms","value":2281,"base":2}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3350,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1638,"base":2},"right_expr":{"type":"numeric_atoms","value":2233,"base":2}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6286,"base":2},"right_expr":{"type":"numeric_atoms","value":2570,"base":2}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":4565,"base":2}}}}},"used_operators":["fu6greOZ01","Ph9nP6C5qx","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","FU0Cs4j7VP","rxpJgHHUmx","DIvbN7qnHd","NTOWxs364D","Nsiff2A1zJ","Tw270M8GLb"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1110","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=1110, right_input=1106, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2536","layer":3},{"info":"number node, value=5875","layer":4},{"info":"number node, value=2281","layer":4},{"info":"compute binary expreesion, left_input=5875, right_input=2281, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3594","layer":3},{"info":"compute binary expreesion, left_input=2536, right_input=3594, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3121","layer":2},{"info":"number node, value=3350","layer":4},{"info":"compute unary expreesion, input=3350, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-501939","layer":3},{"info":"number node, value=1638","layer":4},{"info":"number node, value=2233","layer":4},{"info":"compute binary expreesion, left_input=1638, right_input=2233, 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=-501939, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3121, 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=6286","layer":4},{"info":"number node, value=2570","layer":4},{"info":"compute binary expreesion, left_input=6286, right_input=2570, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=4565","layer":4},{"info":"compute unary expreesion, input=4565, 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=nan, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔10001010110⪮%⊝≮⫘↔10001010010≧⫂∧(≮⫘↔1011011110011-≮⫘↔100011101001)≧⫂∧((≮⫘↔110100010110↛⩡⫤)+≮⫘↔11001100110≭≮⫘↔100010111001)⨐⩸⫘(≮⫘↔1100010001110⊴≮⫘↔101000001010⩚⊴⇥(⨰⫟⨤≮⫘↔1000111010101)⊠≄⫣)=NaN","reverse_text":"NaN=≮⫘↔10001010110⪮%⊝≮⫘↔10001010010≧⫂∧(≮⫘↔1011011110011-≮⫘↔100011101001)≧⫂∧((≮⫘↔110100010110↛⩡⫤)+≮⫘↔11001100110≭≮⫘↔100010111001)⨐⩸⫘(≮⫘↔1100010001110⊴≮⫘↔101000001010⩚⊴⇥(⨰⫟⨤≮⫘↔1000111010101)⊠≄⫣)","cot":[{"info":"≮⫘↔10001010110⪮%⊝≮⫘↔10001010010=≮⫘↔100111101000","layer":3},{"info":"≮⫘↔1011011110011-≮⫘↔100011101001=≮⫘↔111000001010","layer":3},{"info":"≮⫘↔100111101000≧⫂∧≮⫘↔111000001010=≮⫘↔110000110001","layer":2},{"info":"≮⫘↔110100010110↛⩡⫤=≮⫘↔-1111010100010110011","layer":3},{"info":"≮⫘↔11001100110≭≮⫘↔100010111001=NaN","layer":3},{"info":"≮⫘↔-1111010100010110011+NaN=NaN","layer":2},{"info":"≮⫘↔110000110001≧⫂∧NaN=NaN","layer":1},{"info":"≮⫘↔1100010001110⊴≮⫘↔101000001010=NaN","layer":3},{"info":"⨰⫟⨤≮⫘↔1000111010101=NaN","layer":3},{"info":"NaN⩚⊴⇥NaN=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":437,"expression_no_base_symbol":"((⪝⪂⫅$6186$)%$1853$⪄$1629$)⇼⇔∾($1369$⨰$2464$⪒$2217$↬$1044$)*($2931$⊭↱$2275$)≹⇙⪍($2652$⇼⇔∾$1895$)⫥∨⫟(↔$1896$≹⇙⪍$1845$)","expression":"((⪝⪂⫅≮⫘↔1100000101010)%≮⫘↔11100111101⪄≮⫘↔11001011101)⇼⇔∾(≮⫘↔10101011001⨰≮⫘↔100110100000⪒≮⫘↔100010101001↬≮⫘↔10000010100)*(≮⫘↔101101110011⊭↱≮⫘↔100011100011)≹⇙⪍(≮⫘↔101001011100⇼⇔∾≮⫘↔11101100111)⫥∨⫟(↔≮⫘↔11101101000≹⇙⪍≮⫘↔11100110101)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":575725,"operation_count":14,"complexity_ratio":41123.21428571428,"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":6186,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1853,"base":2},"right_expr":{"type":"numeric_atoms","value":1629,"base":2}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1369,"base":2},"right_expr":{"type":"numeric_atoms","value":2464,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2217,"base":2},"right_expr":{"type":"numeric_atoms","value":1044,"base":2}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2931,"base":2},"right_expr":{"type":"numeric_atoms","value":2275,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2652,"base":2},"right_expr":{"type":"numeric_atoms","value":1895,"base":2}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1896,"base":2},"right_expr":{"type":"numeric_atoms","value":1845,"base":2}}}}},"used_operators":["9HNa5Wba9A","tifHPKVTfV","k8jYdgA6NY","XTarYq4gQB","SUmda5xLS4","f6k1SAg4EE","eewbuw0ToL","B5M0gjZbta","KYD54nUTWz","AHs5Up7iyr","COABgblf1C","ruOEQAzv1W"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6186","layer":4},{"info":"compute unary expreesion, input=6186, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-909342","layer":3},{"info":"number node, value=1853","layer":4},{"info":"number node, value=1629","layer":4},{"info":"compute binary expreesion, left_input=1853, right_input=1629, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-276849","layer":3},{"info":"compute binary expreesion, left_input=-909342, right_input=-276849, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-78795","layer":2},{"info":"number node, value=1369","layer":4},{"info":"number node, value=2464","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=2464, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1085","layer":3},{"info":"number node, value=2217","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=2217, right_input=1044, 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=-1085, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-78795, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=2931","layer":4},{"info":"number node, value=2275","layer":4},{"info":"compute binary expreesion, left_input=2931, right_input=2275, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1307","layer":3},{"info":"number node, value=2652","layer":4},{"info":"number node, value=1895","layer":4},{"info":"compute binary expreesion, left_input=2652, right_input=1895, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-757","layer":3},{"info":"compute binary expreesion, left_input=-1307, right_input=-757, 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=1896","layer":4},{"info":"number node, value=1845","layer":4},{"info":"compute binary expreesion, left_input=1896, right_input=1845, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 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=nan, right_input=-134, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⪝⪂⫅≮⫘↔1100000101010)%≮⫘↔11100111101⪄≮⫘↔11001011101)⇼⇔∾(≮⫘↔10101011001⨰≮⫘↔100110100000⪒≮⫘↔100010101001↬≮⫘↔10000010100)*(≮⫘↔101101110011⊭↱≮⫘↔100011100011)≹⇙⪍(≮⫘↔101001011100⇼⇔∾≮⫘↔11101100111)⫥∨⫟(↔≮⫘↔11101101000≹⇙⪍≮⫘↔11100110101)=NaN","reverse_text":"NaN=((⪝⪂⫅≮⫘↔1100000101010)%≮⫘↔11100111101⪄≮⫘↔11001011101)⇼⇔∾(≮⫘↔10101011001⨰≮⫘↔100110100000⪒≮⫘↔100010101001↬≮⫘↔10000010100)*(≮⫘↔101101110011⊭↱≮⫘↔100011100011)≹⇙⪍(≮⫘↔101001011100⇼⇔∾≮⫘↔11101100111)⫥∨⫟(↔≮⫘↔11101101000≹⇙⪍≮⫘↔11100110101)","cot":[{"info":"⪝⪂⫅≮⫘↔1100000101010=≮⫘↔-11011110000000011110","layer":3},{"info":"≮⫘↔11100111101⪄≮⫘↔11001011101=≮⫘↔-1000011100101110001","layer":3},{"info":"≮⫘↔-11011110000000011110%≮⫘↔-1000011100101110001=≮⫘↔-10011001111001011","layer":2},{"info":"≮⫘↔10101011001⨰≮⫘↔100110100000=≮⫘↔-10000111101","layer":3},{"info":"≮⫘↔100010101001↬≮⫘↔10000010100=NaN","layer":3},{"info":"≮⫘↔-10000111101⪒NaN=NaN","layer":2},{"info":"≮⫘↔-10011001111001011⇼⇔∾NaN=NaN","layer":1},{"info":"≮⫘↔101101110011⊭↱≮⫘↔100011100011=≮⫘↔-10100011011","layer":3},{"info":"≮⫘↔101001011100⇼⇔∾≮⫘↔11101100111=≮⫘↔-1011110101","layer":3},{"info":"≮⫘↔-10100011011≹⇙⪍≮⫘↔-1011110101=NaN","layer":2},{"info":"≮⫘↔11101101000≹⇙⪍≮⫘↔11100110101=NaN","layer":3},{"info":"↔NaN=≮⫘↔-10000110","layer":2},{"info":"NaN⫥∨⫟≮⫘↔-10000110=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":438,"expression_no_base_symbol":"(↥($6379$/$6485$⪨≂($1003$↛⩡⫤)))+⇶⊼(-($3886$⩨$4665$)⫥∨⫟($1361$⨎$2391$))","expression":"(↥(≮⫘↔1100011101011/≮⫘↔1100101010101⪨≂(≮⫘↔1111101011↛⩡⫤)))+⇶⊼(-(≮⫘↔111100101110⩨≮⫘↔1001000111001)⫥∨⫟(≮⫘↔10101010001⨎≮⫘↔100101010111))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9097,"operation_count":9,"complexity_ratio":1010.7777777777778,"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":6379,"base":2},"right_expr":{"type":"numeric_atoms","value":6485,"base":2}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1003,"base":2}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3886,"base":2},"right_expr":{"type":"numeric_atoms","value":4665,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1361,"base":2},"right_expr":{"type":"numeric_atoms","value":2391,"base":2}}}}},"used_operators":["TpPTUOHfaN","A8NUZmVepG","sdazOOVcIp","XhwjNDsVaA","FU0Cs4j7VP","t8gj7n24qd","KYD54nUTWz","2DlMacCsIx","rJVOvQCfKK"],"dependent_operators":["AHs5Up7iyr","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","8HhzD0ZcuI","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6379","layer":4},{"info":"number node, value=6485","layer":4},{"info":"compute binary expreesion, left_input=6379, right_input=6485, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1003","layer":4},{"info":"compute unary expreesion, input=1003, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-147542","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-147542, 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=295186","layer":2},{"info":"compute unary expreesion, input=295186, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=49","layer":1},{"info":"number node, value=3886","layer":4},{"info":"number node, value=4665","layer":4},{"info":"compute binary expreesion, left_input=3886, right_input=4665, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1361","layer":4},{"info":"number node, value=2391","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=2391, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2391","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=2391, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=49, 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":2,"result_base":2,"text":"(↥(≮⫘↔1100011101011/≮⫘↔1100101010101⪨≂(≮⫘↔1111101011↛⩡⫤)))+⇶⊼(-(≮⫘↔111100101110⩨≮⫘↔1001000111001)⫥∨⫟(≮⫘↔10101010001⨎≮⫘↔100101010111))=NaN","reverse_text":"NaN=(↥(≮⫘↔1100011101011/≮⫘↔1100101010101⪨≂(≮⫘↔1111101011↛⩡⫤)))+⇶⊼(-(≮⫘↔111100101110⩨≮⫘↔1001000111001)⫥∨⫟(≮⫘↔10101010001⨎≮⫘↔100101010111))","cot":[{"info":"≮⫘↔1100011101011/≮⫘↔1100101010101=≮⫘↔0","layer":3},{"info":"≮⫘↔1111101011↛⩡⫤=≮⫘↔-100100000001010110","layer":3},{"info":"≮⫘↔0⪨≂≮⫘↔-100100000001010110=≮⫘↔1001000000100010010","layer":2},{"info":"↥≮⫘↔1001000000100010010=≮⫘↔110001","layer":1},{"info":"≮⫘↔111100101110⩨≮⫘↔1001000111001=≮⫘↔-11","layer":3},{"info":"≮⫘↔10101010001⨎≮⫘↔100101010111=≮⫘↔100101010111","layer":3},{"info":"≮⫘↔-11⫥∨⫟≮⫘↔100101010111=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"≮⫘↔110001+⇶⊼NaN=NaN","layer":0}]}
{"id":439,"expression_no_base_symbol":"(($1037$≎⊠⪸$4181$⪨≂$1468$∀⇚≩$1388$)↺(↽≂$1064$⋝⋈⪟$3877$))↬((+⊝⨔(↥$2511$))⇼⇔∾((⨵≀≌$2561$)⪨≂$4158$≭$3201$))","expression":"((≮⫘↔10000001101≎⊠⪸≮⫘↔1000001010101⪨≂≮⫘↔10110111100∀⇚≩≮⫘↔10101101100)↺(↽≂≮⫘↔10000101000⋝⋈⪟≮⫘↔111100100101))↬((+⊝⨔(↥≮⫘↔100111001111))⇼⇔∾((⨵≀≌≮⫘↔101000000001)⪨≂≮⫘↔1000000111110≭≮⫘↔110010000001))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10640,"operation_count":13,"complexity_ratio":818.4615384615385,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1037,"base":2},"right_expr":{"type":"numeric_atoms","value":4181,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1468,"base":2},"right_expr":{"type":"numeric_atoms","value":1388,"base":2}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1064,"base":2},"right_expr":{"type":"numeric_atoms","value":3877,"base":2}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2511,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2561,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4158,"base":2},"right_expr":{"type":"numeric_atoms","value":3201,"base":2}}}}},"used_operators":["B5M0gjZbta","7j4O788W3g","sdazOOVcIp","bJkvcejdHO","LRNGc0VcxI","u6S6b8DprG","2DDjHMKMc0","tifHPKVTfV","DhbWaqg5eL","A8NUZmVepG","srAu1WTS94","rxpJgHHUmx"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1037","layer":4},{"info":"number node, value=4181","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=4181, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=268110","layer":3},{"info":"number node, value=1468","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=1468, right_input=1388, 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=268110, 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":2},{"info":"number node, value=1064","layer":4},{"info":"number node, value=3877","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=3877, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1064","layer":3},{"info":"compute unary expreesion, input=1064, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2128","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2128, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-2128","layer":1},{"info":"number node, value=2511","layer":4},{"info":"compute unary expreesion, input=2511, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=12","layer":3},{"info":"compute unary expreesion, input=12, 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=2561","layer":4},{"info":"compute unary expreesion, input=2561, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-7683","layer":3},{"info":"number node, value=4158","layer":4},{"info":"number node, value=3201","layer":4},{"info":"compute binary expreesion, left_input=4158, right_input=3201, 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=-7683, 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":2},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2128, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10000001101≎⊠⪸≮⫘↔1000001010101⪨≂≮⫘↔10110111100∀⇚≩≮⫘↔10101101100)↺(↽≂≮⫘↔10000101000⋝⋈⪟≮⫘↔111100100101))↬((+⊝⨔(↥≮⫘↔100111001111))⇼⇔∾((⨵≀≌≮⫘↔101000000001)⪨≂≮⫘↔1000000111110≭≮⫘↔110010000001))=NaN","reverse_text":"NaN=((≮⫘↔10000001101≎⊠⪸≮⫘↔1000001010101⪨≂≮⫘↔10110111100∀⇚≩≮⫘↔10101101100)↺(↽≂≮⫘↔10000101000⋝⋈⪟≮⫘↔111100100101))↬((+⊝⨔(↥≮⫘↔100111001111))⇼⇔∾((⨵≀≌≮⫘↔101000000001)⪨≂≮⫘↔1000000111110≭≮⫘↔110010000001))","cot":[{"info":"≮⫘↔10000001101≎⊠⪸≮⫘↔1000001010101=≮⫘↔1000001011101001110","layer":3},{"info":"≮⫘↔10110111100∀⇚≩≮⫘↔10101101100=NaN","layer":3},{"info":"≮⫘↔1000001011101001110⪨≂NaN=NaN","layer":2},{"info":"≮⫘↔10000101000⋝⋈⪟≮⫘↔111100100101=≮⫘↔10000101000","layer":3},{"info":"↽≂≮⫘↔10000101000=≮⫘↔-100001010000","layer":2},{"info":"NaN↺≮⫘↔-100001010000=≮⫘↔-100001010000","layer":1},{"info":"↥≮⫘↔100111001111=≮⫘↔1100","layer":3},{"info":"+⊝⨔≮⫘↔1100=≮⫘↔10111110010","layer":2},{"info":"⨵≀≌≮⫘↔101000000001=≮⫘↔-1111000000011","layer":3},{"info":"≮⫘↔1000000111110≭≮⫘↔110010000001=NaN","layer":3},{"info":"≮⫘↔-1111000000011⪨≂NaN=NaN","layer":2},{"info":"≮⫘↔10111110010⇼⇔∾NaN=NaN","layer":1},{"info":"≮⫘↔-100001010000↬NaN=NaN","layer":0}]}
{"id":440,"expression_no_base_symbol":"($1101$-$3206$)⫥∨⫟(+⊝⨔$2641$)⨵⪆(↔$8168$)↺($5571$∲⫓$5215$)⪨≂$2922$⨽$9520$⪄$3026$⋥≓≎$3909$⇼⇔∾(↥$2204$⋓$1448$)","expression":"(≮⫘↔10001001101-≮⫘↔110010000110)⫥∨⫟(+⊝⨔≮⫘↔101001010001)⨵⪆(↔≮⫘↔1111111101000)↺(≮⫘↔1010111000011∲⫓≮⫘↔1010001011111)⪨≂≮⫘↔101101101010⨽≮⫘↔10010100110000⪄≮⫘↔101111010010⋥≓≎≮⫘↔111101000101⇼⇔∾(↥≮⫘↔100010011100⋓≮⫘↔10110101000)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3256,"operation_count":14,"complexity_ratio":232.57142857142858,"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":1101,"base":2},"right_expr":{"type":"numeric_atoms","value":3206,"base":2}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2641,"base":2}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":8168,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5571,"base":2},"right_expr":{"type":"numeric_atoms","value":5215,"base":2}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2922,"base":2},"right_expr":{"type":"numeric_atoms","value":9520,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3026,"base":2},"right_expr":{"type":"numeric_atoms","value":3909,"base":2}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2204,"base":2},"right_expr":{"type":"numeric_atoms","value":1448,"base":2}}}}},"used_operators":["sdazOOVcIp","2DQ55sFlQl","KYD54nUTWz","rysDP5nf3Z","DhbWaqg5eL","7j4O788W3g","ruOEQAzv1W","i8ToyICDmI","tifHPKVTfV","SUmda5xLS4","8HhzD0ZcuI","Qy55tPpLXF","A8NUZmVepG","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"≮⫘↔10000010111100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1101","layer":4},{"info":"number node, value=3206","layer":4},{"info":"compute binary expreesion, left_input=1101, right_input=3206, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2105","layer":3},{"info":"number node, value=2641","layer":4},{"info":"compute unary expreesion, input=2641, 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=-2105, right_input=1522, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=8168","layer":4},{"info":"compute unary expreesion, input=8168, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-7895","layer":3},{"info":"number node, value=5571","layer":4},{"info":"number node, value=5215","layer":4},{"info":"compute binary expreesion, left_input=5571, right_input=5215, 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=-7895, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2922","layer":4},{"info":"number node, value=9520","layer":4},{"info":"compute binary expreesion, left_input=2922, right_input=9520, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-25641498","layer":3},{"info":"number node, value=3026","layer":4},{"info":"number node, value=3909","layer":4},{"info":"compute binary expreesion, left_input=3026, right_input=3909, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4825","layer":3},{"info":"compute binary expreesion, left_input=-25641498, right_input=4825, 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=2204","layer":4},{"info":"number node, value=1448","layer":4},{"info":"compute binary expreesion, left_input=2204, right_input=1448, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3979","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-3979, 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=8380","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10001001101-≮⫘↔110010000110)⫥∨⫟(+⊝⨔≮⫘↔101001010001)⨵⪆(↔≮⫘↔1111111101000)↺(≮⫘↔1010111000011∲⫓≮⫘↔1010001011111)⪨≂≮⫘↔101101101010⨽≮⫘↔10010100110000⪄≮⫘↔101111010010⋥≓≎≮⫘↔111101000101⇼⇔∾(↥≮⫘↔100010011100⋓≮⫘↔10110101000)=≮⫘↔10000010111100","reverse_text":"≮⫘↔10000010111100=(≮⫘↔10001001101-≮⫘↔110010000110)⫥∨⫟(+⊝⨔≮⫘↔101001010001)⨵⪆(↔≮⫘↔1111111101000)↺(≮⫘↔1010111000011∲⫓≮⫘↔1010001011111)⪨≂≮⫘↔101101101010⨽≮⫘↔10010100110000⪄≮⫘↔101111010010⋥≓≎≮⫘↔111101000101⇼⇔∾(↥≮⫘↔100010011100⋓≮⫘↔10110101000)","cot":[{"info":"≮⫘↔10001001101-≮⫘↔110010000110=≮⫘↔-100000111001","layer":3},{"info":"+⊝⨔≮⫘↔101001010001=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔-100000111001⫥∨⫟≮⫘↔10111110010=NaN","layer":2},{"info":"↔≮⫘↔1111111101000=≮⫘↔-1111011010111","layer":3},{"info":"≮⫘↔1010111000011∲⫓≮⫘↔1010001011111=≮⫘↔0","layer":3},{"info":"≮⫘↔-1111011010111↺≮⫘↔0=≮⫘↔0","layer":2},{"info":"NaN⨵⪆≮⫘↔0=≮⫘↔10100000","layer":1},{"info":"≮⫘↔101101101010⨽≮⫘↔10010100110000=≮⫘↔-1100001110100001000011010","layer":3},{"info":"≮⫘↔101111010010⋥≓≎≮⫘↔111101000101=≮⫘↔1001011011001","layer":3},{"info":"≮⫘↔-1100001110100001000011010⪄≮⫘↔1001011011001=≮⫘↔111110001011","layer":2},{"info":"≮⫘↔100010011100⋓≮⫘↔10110101000=≮⫘↔0","layer":3},{"info":"↥≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔111110001011⇼⇔∾≮⫘↔0=≮⫘↔-111110001011","layer":1},{"info":"≮⫘↔10100000⪨≂≮⫘↔-111110001011=≮⫘↔10000010111100","layer":0}]}
{"id":441,"expression_no_base_symbol":"⨰⫟⨤(($4825$∼$3942$≫≃)⫸⊐$1492$∀⇚≩$2843$⨐⩸⫘(⨑⩽⪐$3534$))","expression":"⨰⫟⨤((≮⫘↔1001011011001∼≮⫘↔111101100110≫≃)⫸⊐≮⫘↔10111010100∀⇚≩≮⫘↔101100011011⨐⩸⫘(⨑⩽⪐≮⫘↔110111001110))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":10585,"operation_count":7,"complexity_ratio":1512.142857142857,"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":4825,"base":2},"right_expr":{"type":"numeric_atoms","value":3942,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1492,"base":2},"right_expr":{"type":"numeric_atoms","value":2843,"base":2}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3534,"base":2}}}}},"used_operators":["Tw270M8GLb","mqXw5SEYmG","X99M06cbEe","DyGG3AbaNP","fu6greOZ01","LRNGc0VcxI","AF7qkfDlqP"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","3ViojmjbAp","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4825","layer":4},{"info":"number node, value=3942","layer":4},{"info":"compute binary expreesion, left_input=4825, right_input=3942, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":2},{"info":"number node, value=1492","layer":4},{"info":"number node, value=2843","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=2843, 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=3534","layer":4},{"info":"compute unary expreesion, input=3534, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3261","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3261, 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=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":"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":2,"result_base":2,"text":"⨰⫟⨤((≮⫘↔1001011011001∼≮⫘↔111101100110≫≃)⫸⊐≮⫘↔10111010100∀⇚≩≮⫘↔101100011011⨐⩸⫘(⨑⩽⪐≮⫘↔110111001110))=NaN","reverse_text":"NaN=⨰⫟⨤((≮⫘↔1001011011001∼≮⫘↔111101100110≫≃)⫸⊐≮⫘↔10111010100∀⇚≩≮⫘↔101100011011⨐⩸⫘(⨑⩽⪐≮⫘↔110111001110))","cot":[{"info":"≮⫘↔1001011011001∼≮⫘↔111101100110=NaN","layer":3},{"info":"NaN≫≃=NaN","layer":2},{"info":"≮⫘↔10111010100∀⇚≩≮⫘↔101100011011=NaN","layer":3},{"info":"⨑⩽⪐≮⫘↔110111001110=≮⫘↔-110010111101","layer":3},{"info":"NaN⨐⩸⫘≮⫘↔-110010111101=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":442,"expression_no_base_symbol":"($1434$∼$6674$≧⫂∧($5134$⨸⪁$1540$))∼(⨞⊢$1057$⋝⋈⪟$5709$)∲⫓(⇁⨣⪵($2724$-$2414$)↺($1202$⪨≂$2204$))","expression":"(≮⫘↔10110011010∼≮⫘↔1101000010010≧⫂∧(≮⫘↔1010000001110⨸⪁≮⫘↔11000000100))∼(⨞⊢≮⫘↔10000100001⋝⋈⪟≮⫘↔1011001001101)∲⫓(⇁⨣⪵(≮⫘↔101010100100-≮⫘↔100101101110)↺(≮⫘↔10010110010⪨≂≮⫘↔100010011100))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":304,"operation_count":11,"complexity_ratio":27.636363636363637,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1434,"base":2},"right_expr":{"type":"numeric_atoms","value":6674,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5134,"base":2},"right_expr":{"type":"numeric_atoms","value":1540,"base":2}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1057,"base":2},"right_expr":{"type":"numeric_atoms","value":5709,"base":2}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2724,"base":2},"right_expr":{"type":"numeric_atoms","value":2414,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1202,"base":2},"right_expr":{"type":"numeric_atoms","value":2204,"base":2}}}}},"used_operators":["i8ToyICDmI","DyGG3AbaNP","Ph9nP6C5qx","g55IO6H4Gj","xUOZtlo3hN","2DDjHMKMc0","inkyxCbjAn","7j4O788W3g","rysDP5nf3Z","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1434","layer":4},{"info":"number node, value=6674","layer":4},{"info":"compute binary expreesion, left_input=1434, right_input=6674, 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=5134","layer":4},{"info":"number node, value=1540","layer":4},{"info":"compute binary expreesion, left_input=5134, right_input=1540, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13348","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13348, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=12875","layer":2},{"info":"number node, value=1057","layer":4},{"info":"number node, value=5709","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=5709, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1057","layer":3},{"info":"compute unary expreesion, input=1057, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1231","layer":2},{"info":"compute binary expreesion, left_input=12875, right_input=-1231, 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=2724","layer":4},{"info":"number node, value=2414","layer":4},{"info":"compute binary expreesion, left_input=2724, right_input=2414, op_id = rysDP5nf3Z binary_op_definition= 'None', output=310","layer":3},{"info":"number node, value=1202","layer":4},{"info":"number node, value=2204","layer":4},{"info":"compute binary expreesion, left_input=1202, right_input=2204, 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=-1902","layer":3},{"info":"compute binary expreesion, left_input=310, right_input=-1902, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1902","layer":2},{"info":"compute unary expreesion, input=-1902, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10110011010∼≮⫘↔1101000010010≧⫂∧(≮⫘↔1010000001110⨸⪁≮⫘↔11000000100))∼(⨞⊢≮⫘↔10000100001⋝⋈⪟≮⫘↔1011001001101)∲⫓(⇁⨣⪵(≮⫘↔101010100100-≮⫘↔100101101110)↺(≮⫘↔10010110010⪨≂≮⫘↔100010011100))=NaN","reverse_text":"NaN=(≮⫘↔10110011010∼≮⫘↔1101000010010≧⫂∧(≮⫘↔1010000001110⨸⪁≮⫘↔11000000100))∼(⨞⊢≮⫘↔10000100001⋝⋈⪟≮⫘↔1011001001101)∲⫓(⇁⨣⪵(≮⫘↔101010100100-≮⫘↔100101101110)↺(≮⫘↔10010110010⪨≂≮⫘↔100010011100))","cot":[{"info":"≮⫘↔10110011010∼≮⫘↔1101000010010=NaN","layer":3},{"info":"≮⫘↔1010000001110⨸⪁≮⫘↔11000000100=≮⫘↔11010000100100","layer":3},{"info":"NaN≧⫂∧≮⫘↔11010000100100=≮⫘↔11001001001011","layer":2},{"info":"≮⫘↔10000100001⋝⋈⪟≮⫘↔1011001001101=≮⫘↔10000100001","layer":3},{"info":"⨞⊢≮⫘↔10000100001=≮⫘↔-10011001111","layer":2},{"info":"≮⫘↔11001001001011∼≮⫘↔-10011001111=NaN","layer":1},{"info":"≮⫘↔101010100100-≮⫘↔100101101110=≮⫘↔100110110","layer":3},{"info":"≮⫘↔10010110010⪨≂≮⫘↔100010011100=≮⫘↔-11101101110","layer":3},{"info":"≮⫘↔100110110↺≮⫘↔-11101101110=≮⫘↔-11101101110","layer":2},{"info":"⇁⨣⪵≮⫘↔-11101101110=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":443,"expression_no_base_symbol":"($1725$⨰$2518$⇋≉)*(⩦⩻⨪$1750$⪛$1015$)+((⋗⩬⋾$1914$)⨟⋌⩍($4705$⨸⪁$1752$)/(↔($4119$∲⫓$1605$)))","expression":"(≮⫘↔11010111101⨰≮⫘↔100111010110⇋≉)*(⩦⩻⨪≮⫘↔11011010110⪛≮⫘↔1111110111)+((⋗⩬⋾≮⫘↔11101111010)⨟⋌⩍(≮⫘↔1001001100001⨸⪁≮⫘↔11011011000)/(↔(≮⫘↔1000000010111∲⫓≮⫘↔11001000101)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":772,"operation_count":12,"complexity_ratio":64.33333333333333,"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":1725,"base":2},"right_expr":{"type":"numeric_atoms","value":2518,"base":2}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1750,"base":2},"right_expr":{"type":"numeric_atoms","value":1015,"base":2}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1914,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4705,"base":2},"right_expr":{"type":"numeric_atoms","value":1752,"base":2}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4119,"base":2},"right_expr":{"type":"numeric_atoms","value":1605,"base":2}}}}},"used_operators":["W4YGzv6Whe","9HNa5Wba9A","XIabStNQrY","eewbuw0ToL","2td37pGCOC","uFcxV4UQCh","XhwjNDsVaA","rGHVDoGpnC","DpFCA1CohY","g55IO6H4Gj","ruOEQAzv1W","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1725","layer":4},{"info":"number node, value=2518","layer":4},{"info":"compute binary expreesion, left_input=1725, right_input=2518, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-783","layer":3},{"info":"compute unary expreesion, input=-783, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-1664","layer":2},{"info":"number node, value=1750","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=1750, right_input=1015, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=735","layer":3},{"info":"compute unary expreesion, input=735, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=735","layer":2},{"info":"compute binary expreesion, left_input=-1664, right_input=735, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-1223040","layer":1},{"info":"number node, value=1914","layer":4},{"info":"compute unary expreesion, input=1914, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5742","layer":3},{"info":"number node, value=4705","layer":4},{"info":"number node, value=1752","layer":4},{"info":"compute binary expreesion, left_input=4705, right_input=1752, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12914","layer":3},{"info":"compute binary expreesion, left_input=-5742, right_input=12914, 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=4119","layer":4},{"info":"number node, value=1605","layer":4},{"info":"compute binary expreesion, left_input=4119, right_input=1605, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=789","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=789, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1223040, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11010111101⨰≮⫘↔100111010110⇋≉)*(⩦⩻⨪≮⫘↔11011010110⪛≮⫘↔1111110111)+((⋗⩬⋾≮⫘↔11101111010)⨟⋌⩍(≮⫘↔1001001100001⨸⪁≮⫘↔11011011000)/(↔(≮⫘↔1000000010111∲⫓≮⫘↔11001000101)))=NaN","reverse_text":"NaN=(≮⫘↔11010111101⨰≮⫘↔100111010110⇋≉)*(⩦⩻⨪≮⫘↔11011010110⪛≮⫘↔1111110111)+((⋗⩬⋾≮⫘↔11101111010)⨟⋌⩍(≮⫘↔1001001100001⨸⪁≮⫘↔11011011000)/(↔(≮⫘↔1000000010111∲⫓≮⫘↔11001000101)))","cot":[{"info":"≮⫘↔11010111101⨰≮⫘↔100111010110=≮⫘↔-1100001111","layer":3},{"info":"≮⫘↔-1100001111⇋≉=≮⫘↔-11010000000","layer":2},{"info":"≮⫘↔11011010110⪛≮⫘↔1111110111=≮⫘↔1011011111","layer":3},{"info":"⩦⩻⨪≮⫘↔1011011111=≮⫘↔1011011111","layer":2},{"info":"≮⫘↔-11010000000*≮⫘↔1011011111=≮⫘↔-100101010100110000000","layer":1},{"info":"⋗⩬⋾≮⫘↔11101111010=≮⫘↔-1011001101110","layer":3},{"info":"≮⫘↔1001001100001⨸⪁≮⫘↔11011011000=≮⫘↔11001001110010","layer":3},{"info":"≮⫘↔-1011001101110⨟⋌⩍≮⫘↔11001001110010=NaN","layer":2},{"info":"≮⫘↔1000000010111∲⫓≮⫘↔11001000101=≮⫘↔0","layer":3},{"info":"↔≮⫘↔0=≮⫘↔1100010101","layer":2},{"info":"NaN/≮⫘↔1100010101=NaN","layer":1},{"info":"≮⫘↔-100101010100110000000+NaN=NaN","layer":0}]}
{"id":444,"expression_no_base_symbol":"(≦∁$2131$⨓$3365$⪒($3172$≫≃))⪛((-$1447$)⨽($4868$⫸⊐$2468$)↪⪝)","expression":"(≦∁≮⫘↔100001010011⨓≮⫘↔110100100101⪒(≮⫘↔110001100100≫≃))⪛((-≮⫘↔10110100111)⨽(≮⫘↔1001100000100⫸⊐≮⫘↔100110100100)↪⪝)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5504,"operation_count":9,"complexity_ratio":611.5555555555555,"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":2131,"base":2},"right_expr":{"type":"numeric_atoms","value":3365,"base":2}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3172,"base":2}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1447,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4868,"base":2},"right_expr":{"type":"numeric_atoms","value":2468,"base":2}}}}},"used_operators":["uFcxV4UQCh","9ICcGScMcE","f6k1SAg4EE","3ViojmjbAp","X99M06cbEe","l07mrZUIn9","8HhzD0ZcuI","t8gj7n24qd","mqXw5SEYmG"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","9HNa5Wba9A","2DDjHMKMc0","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"-Inf","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2131","layer":4},{"info":"number node, value=3365","layer":4},{"info":"compute binary expreesion, left_input=2131, right_input=3365, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3368","layer":3},{"info":"number node, value=3172","layer":4},{"info":"compute unary expreesion, input=3172, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7745","layer":3},{"info":"compute binary expreesion, left_input=-3368, right_input=7745, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4377","layer":2},{"info":"compute unary expreesion, input=-4377, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":1},{"info":"number node, value=1447","layer":4},{"info":"compute unary expreesion, input=1447, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1447","layer":3},{"info":"number node, value=4868","layer":4},{"info":"number node, value=2468","layer":4},{"info":"compute binary expreesion, left_input=4868, right_input=2468, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9747","layer":3},{"info":"compute binary expreesion, left_input=-1447, right_input=9747, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6309354","layer":2},{"info":"compute unary expreesion, input=-6309354, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-inf, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-inf","layer":0}],"base":2,"result_base":2,"text":"(≦∁≮⫘↔100001010011⨓≮⫘↔110100100101⪒(≮⫘↔110001100100≫≃))⪛((-≮⫘↔10110100111)⨽(≮⫘↔1001100000100⫸⊐≮⫘↔100110100100)↪⪝)=-Inf","reverse_text":"-Inf=(≦∁≮⫘↔100001010011⨓≮⫘↔110100100101⪒(≮⫘↔110001100100≫≃))⪛((-≮⫘↔10110100111)⨽(≮⫘↔1001100000100⫸⊐≮⫘↔100110100100)↪⪝)","cot":[{"info":"≮⫘↔100001010011⨓≮⫘↔110100100101=≮⫘↔-110100101000","layer":3},{"info":"≮⫘↔110001100100≫≃=≮⫘↔1111001000001","layer":3},{"info":"≮⫘↔-110100101000⪒≮⫘↔1111001000001=≮⫘↔-1000100011001","layer":2},{"info":"≦∁≮⫘↔-1000100011001=≮⫘↔1000011","layer":1},{"info":"-≮⫘↔10110100111=≮⫘↔-10110100111","layer":3},{"info":"≮⫘↔1001100000100⫸⊐≮⫘↔100110100100=≮⫘↔10011000010011","layer":3},{"info":"≮⫘↔-10110100111⨽≮⫘↔10011000010011=≮⫘↔-11000000100010111101010","layer":2},{"info":"≮⫘↔-11000000100010111101010↪⪝=-Inf","layer":1},{"info":"≮⫘↔1000011⪛-Inf=-Inf","layer":0}]}
{"id":445,"expression_no_base_symbol":"⨞⊢($7744$≧⫂∧$2734$⩚⊴⇥($1027$⊭↱$3871$)%($4036$⪄$1268$)∼($1593$∼$5822$))","expression":"⨞⊢(≮⫘↔1111001000000≧⫂∧≮⫘↔101010101110⩚⊴⇥(≮⫘↔10000000011⊭↱≮⫘↔111100011111)%(≮⫘↔111111000100⪄≮⫘↔10011110100)∼(≮⫘↔11000111001∼≮⫘↔1011010111110))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11878,"operation_count":8,"complexity_ratio":1484.75,"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":7744,"base":2},"right_expr":{"type":"numeric_atoms","value":2734,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1027,"base":2},"right_expr":{"type":"numeric_atoms","value":3871,"base":2}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4036,"base":2},"right_expr":{"type":"numeric_atoms","value":1268,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1593,"base":2},"right_expr":{"type":"numeric_atoms","value":5822,"base":2}}}}},"used_operators":["xUOZtlo3hN","k8jYdgA6NY","NTOWxs364D","Ph9nP6C5qx","COABgblf1C","DyGG3AbaNP","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7744","layer":4},{"info":"number node, value=2734","layer":4},{"info":"compute binary expreesion, left_input=7744, right_input=2734, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2261","layer":3},{"info":"number node, value=1027","layer":4},{"info":"number node, value=3871","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=3871, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5693","layer":3},{"info":"compute binary expreesion, left_input=2261, right_input=5693, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8075","layer":2},{"info":"number node, value=4036","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=4036, right_input=1268, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-598489","layer":3},{"info":"number node, value=1593","layer":4},{"info":"number node, value=5822","layer":4},{"info":"compute binary expreesion, left_input=1593, right_input=5822, 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=-598489, 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=-8075, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⨞⊢(≮⫘↔1111001000000≧⫂∧≮⫘↔101010101110⩚⊴⇥(≮⫘↔10000000011⊭↱≮⫘↔111100011111)%(≮⫘↔111111000100⪄≮⫘↔10011110100)∼(≮⫘↔11000111001∼≮⫘↔1011010111110))=NaN","reverse_text":"NaN=⨞⊢(≮⫘↔1111001000000≧⫂∧≮⫘↔101010101110⩚⊴⇥(≮⫘↔10000000011⊭↱≮⫘↔111100011111)%(≮⫘↔111111000100⪄≮⫘↔10011110100)∼(≮⫘↔11000111001∼≮⫘↔1011010111110))","cot":[{"info":"≮⫘↔1111001000000≧⫂∧≮⫘↔101010101110=≮⫘↔100011010101","layer":3},{"info":"≮⫘↔10000000011⊭↱≮⫘↔111100011111=≮⫘↔1011000111101","layer":3},{"info":"≮⫘↔100011010101⩚⊴⇥≮⫘↔1011000111101=≮⫘↔-1111110001011","layer":2},{"info":"≮⫘↔111111000100⪄≮⫘↔10011110100=≮⫘↔-10010010000111011001","layer":3},{"info":"≮⫘↔11000111001∼≮⫘↔1011010111110=NaN","layer":3},{"info":"≮⫘↔-10010010000111011001∼NaN=NaN","layer":2},{"info":"≮⫘↔-1111110001011%NaN=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":446,"expression_no_base_symbol":"(($5381$⊠≄⫣)⫥∨⫟$2383$⋝⋈⪟$3275$∲⫓(⊙↵-($1219$≭$4853$)))⋝⋈⪟(((⫛⫱⨽$1745$)⨸⪁$1125$⇷$1528$)⪠⩆⊳)","expression":"((≮⫘↔1010100000101⊠≄⫣)⫥∨⫟≮⫘↔100101001111⋝⋈⪟≮⫘↔110011001011∲⫓(⊙↵-(≮⫘↔10011000011≭≮⫘↔1001011110101)))⋝⋈⪟(((⫛⫱⨽≮⫘↔11011010001)⨸⪁≮⫘↔10001100101⇷≮⫘↔10111111000)⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17380,"operation_count":11,"complexity_ratio":1580.0,"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":5381,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2383,"base":2},"right_expr":{"type":"numeric_atoms","value":3275,"base":2}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1219,"base":2},"right_expr":{"type":"numeric_atoms","value":4853,"base":2}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1745,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1125,"base":2},"right_expr":{"type":"numeric_atoms","value":1528,"base":2}}}}},"used_operators":["2DDjHMKMc0","i8ToyICDmI","KYD54nUTWz","DIvbN7qnHd","oWn0xqSxBt","rxpJgHHUmx","JLbD19bQDL","g55IO6H4Gj","DlLNRPXxWL","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5381","layer":4},{"info":"compute unary expreesion, input=5381, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=2383","layer":4},{"info":"number node, value=3275","layer":4},{"info":"compute binary expreesion, left_input=2383, right_input=3275, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2383","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2383, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1219","layer":4},{"info":"number node, value=4853","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=4853, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=1745","layer":4},{"info":"compute unary expreesion, input=1745, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1125","layer":4},{"info":"number node, value=1528","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=1528, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3056","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3056, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6112","layer":2},{"info":"compute unary expreesion, input=6112, 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":"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":2,"result_base":2,"text":"((≮⫘↔1010100000101⊠≄⫣)⫥∨⫟≮⫘↔100101001111⋝⋈⪟≮⫘↔110011001011∲⫓(⊙↵-(≮⫘↔10011000011≭≮⫘↔1001011110101)))⋝⋈⪟(((⫛⫱⨽≮⫘↔11011010001)⨸⪁≮⫘↔10001100101⇷≮⫘↔10111111000)⪠⩆⊳)=NaN","reverse_text":"NaN=((≮⫘↔1010100000101⊠≄⫣)⫥∨⫟≮⫘↔100101001111⋝⋈⪟≮⫘↔110011001011∲⫓(⊙↵-(≮⫘↔10011000011≭≮⫘↔1001011110101)))⋝⋈⪟(((⫛⫱⨽≮⫘↔11011010001)⨸⪁≮⫘↔10001100101⇷≮⫘↔10111111000)⪠⩆⊳)","cot":[{"info":"≮⫘↔1010100000101⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔100101001111⋝⋈⪟≮⫘↔110011001011=≮⫘↔100101001111","layer":3},{"info":"≮⫘↔0⫥∨⫟≮⫘↔100101001111=NaN","layer":2},{"info":"≮⫘↔10011000011≭≮⫘↔1001011110101=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"⫛⫱⨽≮⫘↔11011010001=≮⫘↔0","layer":3},{"info":"≮⫘↔10001100101⇷≮⫘↔10111111000=≮⫘↔101111110000","layer":3},{"info":"≮⫘↔0⨸⪁≮⫘↔101111110000=≮⫘↔1011111100000","layer":2},{"info":"≮⫘↔1011111100000⪠⩆⊳=≮⫘↔0","layer":1},{"info":"NaN⋝⋈⪟≮⫘↔0=NaN","layer":0}]}
{"id":447,"expression_no_base_symbol":"($3081$⨳⩥⨓$7532$)⪮%⊝($6181$⇼⇔∾$4431$)⋥≓≎(($3380$⩠)≣⋋)⫡⨏(↔($5198$≋⫹))↺(⊙↵-(-$1156$))","expression":"(≮⫘↔110000001001⨳⩥⨓≮⫘↔1110101101100)⪮%⊝(≮⫘↔1100000100101⇼⇔∾≮⫘↔1000101001111)⋥≓≎((≮⫘↔110100110100⩠)≣⋋)⫡⨏(↔(≮⫘↔1010001001110≋⫹))↺(⊙↵-(-≮⫘↔10010000100))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1263,"operation_count":12,"complexity_ratio":105.25,"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":3081,"base":2},"right_expr":{"type":"numeric_atoms","value":7532,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6181,"base":2},"right_expr":{"type":"numeric_atoms","value":4431,"base":2}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3380,"base":2}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":5198,"base":2}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1156,"base":2}}}}},"used_operators":["QMFrweE19q","Qy55tPpLXF","IWmyXbctLI","nCS4ZIUYfx","tifHPKVTfV","Tcnh7f0tEr","sJAwomhLZr","7j4O788W3g","ruOEQAzv1W","N41Kp7NANJ","oWn0xqSxBt","t8gj7n24qd"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"≮⫘↔-1010111011001110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3081","layer":4},{"info":"number node, value=7532","layer":4},{"info":"compute binary expreesion, left_input=3081, right_input=7532, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4451","layer":3},{"info":"number node, value=6181","layer":4},{"info":"number node, value=4431","layer":4},{"info":"compute binary expreesion, left_input=6181, right_input=4431, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1750","layer":3},{"info":"compute binary expreesion, left_input=4451, right_input=-1750, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9218","layer":2},{"info":"number node, value=3380","layer":4},{"info":"compute unary expreesion, input=3380, 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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=9218, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-9185","layer":1},{"info":"number node, value=5198","layer":4},{"info":"compute unary expreesion, input=5198, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-10396","layer":3},{"info":"compute unary expreesion, input=-10396, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=1156","layer":4},{"info":"compute unary expreesion, input=1156, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1156","layer":3},{"info":"compute unary expreesion, input=-1156, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=196, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=196","layer":1},{"info":"compute binary expreesion, left_input=-9185, right_input=196, 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=-44750","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110000001001⨳⩥⨓≮⫘↔1110101101100)⪮%⊝(≮⫘↔1100000100101⇼⇔∾≮⫘↔1000101001111)⋥≓≎((≮⫘↔110100110100⩠)≣⋋)⫡⨏(↔(≮⫘↔1010001001110≋⫹))↺(⊙↵-(-≮⫘↔10010000100))=≮⫘↔-1010111011001110","reverse_text":"≮⫘↔-1010111011001110=(≮⫘↔110000001001⨳⩥⨓≮⫘↔1110101101100)⪮%⊝(≮⫘↔1100000100101⇼⇔∾≮⫘↔1000101001111)⋥≓≎((≮⫘↔110100110100⩠)≣⋋)⫡⨏(↔(≮⫘↔1010001001110≋⫹))↺(⊙↵-(-≮⫘↔10010000100))","cot":[{"info":"≮⫘↔110000001001⨳⩥⨓≮⫘↔1110101101100=≮⫘↔1000101100011","layer":3},{"info":"≮⫘↔1100000100101⇼⇔∾≮⫘↔1000101001111=≮⫘↔-11011010110","layer":3},{"info":"≮⫘↔1000101100011⪮%⊝≮⫘↔-11011010110=≮⫘↔10010000000010","layer":2},{"info":"≮⫘↔110100110100⩠=≮⫘↔0","layer":3},{"info":"≮⫘↔0≣⋋=≮⫘↔0","layer":2},{"info":"≮⫘↔10010000000010⋥≓≎≮⫘↔0=≮⫘↔-10001111100001","layer":1},{"info":"≮⫘↔1010001001110≋⫹=≮⫘↔-10100010011100","layer":3},{"info":"↔≮⫘↔-10100010011100=≮⫘↔-10000110","layer":2},{"info":"-≮⫘↔10010000100=≮⫘↔-10010000100","layer":3},{"info":"⊙↵-≮⫘↔-10010000100=≮⫘↔11000100","layer":2},{"info":"≮⫘↔-10000110↺≮⫘↔11000100=≮⫘↔11000100","layer":1},{"info":"≮⫘↔-10001111100001⫡⨏≮⫘↔11000100=≮⫘↔-1010111011001110","layer":0}]}
{"id":448,"expression_no_base_symbol":"∂(($9149$⇷$8190$⊪)⩷∴($3537$≧⫂∧$6145$⨰($3018$-$2382$)))","expression":"∂((≮⫘↔10001110111101⇷≮⫘↔1111111111110⊪)⩷∴(≮⫘↔110111010001≧⫂∧≮⫘↔1100000000001⨰(≮⫘↔101111001010-≮⫘↔100101001110)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":128556,"operation_count":7,"complexity_ratio":18365.14285714286,"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":9149,"base":2},"right_expr":{"type":"numeric_atoms","value":8190,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3537,"base":2},"right_expr":{"type":"numeric_atoms","value":6145,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3018,"base":2},"right_expr":{"type":"numeric_atoms","value":2382,"base":2}}}}},"used_operators":["Uaa54Peajs","9FxExcQeMw","zVYPLywUTj","mp7IySMOzn","eewbuw0ToL","Ph9nP6C5qx","rysDP5nf3Z"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔10011010000100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=9149","layer":4},{"info":"number node, value=8190","layer":4},{"info":"compute binary expreesion, left_input=9149, right_input=8190, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=16380","layer":3},{"info":"compute unary expreesion, input=16380, 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=3537","layer":4},{"info":"number node, value=6145","layer":4},{"info":"compute binary expreesion, left_input=3537, right_input=6145, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5672","layer":3},{"info":"number node, value=3018","layer":4},{"info":"number node, value=2382","layer":4},{"info":"compute binary expreesion, left_input=3018, right_input=2382, op_id = rysDP5nf3Z binary_op_definition= 'None', output=636","layer":3},{"info":"compute binary expreesion, left_input=5672, right_input=636, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5046","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=5046, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-10124","layer":1},{"info":"compute unary expreesion, input=-10124, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=9860","layer":0}],"base":2,"result_base":2,"text":"∂((≮⫘↔10001110111101⇷≮⫘↔1111111111110⊪)⩷∴(≮⫘↔110111010001≧⫂∧≮⫘↔1100000000001⨰(≮⫘↔101111001010-≮⫘↔100101001110)))=≮⫘↔10011010000100","reverse_text":"≮⫘↔10011010000100=∂((≮⫘↔10001110111101⇷≮⫘↔1111111111110⊪)⩷∴(≮⫘↔110111010001≧⫂∧≮⫘↔1100000000001⨰(≮⫘↔101111001010-≮⫘↔100101001110)))","cot":[{"info":"≮⫘↔10001110111101⇷≮⫘↔1111111111110=≮⫘↔11111111111100","layer":3},{"info":"≮⫘↔11111111111100⊪=≮⫘↔0","layer":2},{"info":"≮⫘↔110111010001≧⫂∧≮⫘↔1100000000001=≮⫘↔1011000101000","layer":3},{"info":"≮⫘↔101111001010-≮⫘↔100101001110=≮⫘↔1001111100","layer":3},{"info":"≮⫘↔1011000101000⨰≮⫘↔1001111100=≮⫘↔1001110110110","layer":2},{"info":"≮⫘↔0⩷∴≮⫘↔1001110110110=≮⫘↔-10011110001100","layer":1},{"info":"∂≮⫘↔-10011110001100=≮⫘↔10011010000100","layer":0}]}
{"id":449,"expression_no_base_symbol":"⇁⨣⪵($1094$⨐⩸⫘$1036$)∑⇟⊟$5727$⨟⋌⩍$3254$⋓($2783$⨳⩥⨓$1953$↛⩡⫤)","expression":"⇁⨣⪵(≮⫘↔10001000110⨐⩸⫘≮⫘↔10000001100)∑⇟⊟≮⫘↔1011001011111⨟⋌⩍≮⫘↔110010110110⋓(≮⫘↔101011011111⨳⩥⨓≮⫘↔11110100001↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2623,"operation_count":7,"complexity_ratio":374.7142857142857,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1094,"base":2},"right_expr":{"type":"numeric_atoms","value":1036,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5727,"base":2},"right_expr":{"type":"numeric_atoms","value":3254,"base":2}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2783,"base":2},"right_expr":{"type":"numeric_atoms","value":1953,"base":2}}}}},"used_operators":["inkyxCbjAn","T2fj7uvVaJ","U7g4x0WXJJ","fu6greOZ01","rGHVDoGpnC","FU0Cs4j7VP","nCS4ZIUYfx"],"dependent_operators":["B5M0gjZbta","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp","Tcnh7f0tEr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1094","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=1036, 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=5727","layer":4},{"info":"number node, value=3254","layer":4},{"info":"compute binary expreesion, left_input=5727, right_input=3254, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2783","layer":4},{"info":"number node, value=1953","layer":4},{"info":"compute binary expreesion, left_input=2783, right_input=1953, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-830","layer":3},{"info":"compute unary expreesion, input=-830, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=3149","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3149, 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 unary expreesion, input=0, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":0}],"base":2,"result_base":2,"text":"⇁⨣⪵(≮⫘↔10001000110⨐⩸⫘≮⫘↔10000001100)∑⇟⊟≮⫘↔1011001011111⨟⋌⩍≮⫘↔110010110110⋓(≮⫘↔101011011111⨳⩥⨓≮⫘↔11110100001↛⩡⫤)=≮⫘↔0","reverse_text":"≮⫘↔0=⇁⨣⪵(≮⫘↔10001000110⨐⩸⫘≮⫘↔10000001100)∑⇟⊟≮⫘↔1011001011111⨟⋌⩍≮⫘↔110010110110⋓(≮⫘↔101011011111⨳⩥⨓≮⫘↔11110100001↛⩡⫤)","cot":[{"info":"≮⫘↔10001000110⨐⩸⫘≮⫘↔10000001100=NaN","layer":3},{"info":"≮⫘↔1011001011111⨟⋌⩍≮⫘↔110010110110=NaN","layer":3},{"info":"NaN∑⇟⊟NaN=NaN","layer":2},{"info":"≮⫘↔101011011111⨳⩥⨓≮⫘↔11110100001=≮⫘↔-1100111110","layer":3},{"info":"≮⫘↔-1100111110↛⩡⫤=≮⫘↔110001001101","layer":2},{"info":"NaN⋓≮⫘↔110001001101=≮⫘↔0","layer":1},{"info":"⇁⨣⪵≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":450,"expression_no_base_symbol":"(⫓⪴(($1691$⪒$1927$)⋥≓≎$1871$⇷$6106$))⨵⪆((↔$6741$)⋷($5253$∸))⋥≓≎($1355$∲⫓$2884$)⊴($2873$⨎$1902$)","expression":"(⫓⪴((≮⫘↔11010011011⪒≮⫘↔11110000111)⋥≓≎≮⫘↔11101001111⇷≮⫘↔1011111011010))⨵⪆((↔≮⫘↔1101001010101)⋷(≮⫘↔1010010000101∸))⋥≓≎(≮⫘↔10101001011∲⫓≮⫘↔101101000100)⊴(≮⫘↔101100111001⨎≮⫘↔11101101110)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":28374,"operation_count":12,"complexity_ratio":2364.5,"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":1691,"base":2},"right_expr":{"type":"numeric_atoms","value":1927,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1871,"base":2},"right_expr":{"type":"numeric_atoms","value":6106,"base":2}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":6741,"base":2}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":5253,"base":2}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1355,"base":2},"right_expr":{"type":"numeric_atoms","value":2884,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2873,"base":2},"right_expr":{"type":"numeric_atoms","value":1902,"base":2}}}}},"used_operators":["2DQ55sFlQl","eLxqMNBOBk","Qy55tPpLXF","f6k1SAg4EE","mp7IySMOzn","23Mk6UjR3U","ruOEQAzv1W","o20kRiQErp","Nsiff2A1zJ","i8ToyICDmI","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","tmPS8pqC7x","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1691","layer":4},{"info":"number node, value=1927","layer":4},{"info":"compute binary expreesion, left_input=1691, right_input=1927, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3618","layer":3},{"info":"number node, value=1871","layer":4},{"info":"number node, value=6106","layer":4},{"info":"compute binary expreesion, left_input=1871, right_input=6106, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12212","layer":3},{"info":"compute binary expreesion, left_input=-3618, right_input=12212, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4489","layer":1},{"info":"number node, value=6741","layer":4},{"info":"compute unary expreesion, input=6741, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-6468","layer":3},{"info":"number node, value=5253","layer":4},{"info":"compute unary expreesion, input=5253, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-6468, right_input=177, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=12936","layer":2},{"info":"number node, value=1355","layer":4},{"info":"number node, value=2884","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=2884, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2873","layer":4},{"info":"number node, value=1902","layer":4},{"info":"compute binary expreesion, left_input=2873, right_input=1902, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1902","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1902, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=12936, 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":"compute binary expreesion, left_input=4489, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(⫓⪴((≮⫘↔11010011011⪒≮⫘↔11110000111)⋥≓≎≮⫘↔11101001111⇷≮⫘↔1011111011010))⨵⪆((↔≮⫘↔1101001010101)⋷(≮⫘↔1010010000101∸))⋥≓≎(≮⫘↔10101001011∲⫓≮⫘↔101101000100)⊴(≮⫘↔101100111001⨎≮⫘↔11101101110)=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(⫓⪴((≮⫘↔11010011011⪒≮⫘↔11110000111)⋥≓≎≮⫘↔11101001111⇷≮⫘↔1011111011010))⨵⪆((↔≮⫘↔1101001010101)⋷(≮⫘↔1010010000101∸))⋥≓≎(≮⫘↔10101001011∲⫓≮⫘↔101101000100)⊴(≮⫘↔101100111001⨎≮⫘↔11101101110)","cot":[{"info":"≮⫘↔11010011011⪒≮⫘↔11110000111=≮⫘↔-111000100010","layer":3},{"info":"≮⫘↔11101001111⇷≮⫘↔1011111011010=≮⫘↔10111110110100","layer":3},{"info":"≮⫘↔-111000100010⋥≓≎≮⫘↔10111110110100=≮⫘↔1000011","layer":2},{"info":"⫓⪴≮⫘↔1000011=≮⫘↔1000110001001","layer":1},{"info":"↔≮⫘↔1101001010101=≮⫘↔-1100101000100","layer":3},{"info":"≮⫘↔1010010000101∸=≮⫘↔10110001","layer":3},{"info":"≮⫘↔-1100101000100⋷≮⫘↔10110001=≮⫘↔11001010001000","layer":2},{"info":"≮⫘↔10101001011∲⫓≮⫘↔101101000100=≮⫘↔0","layer":3},{"info":"≮⫘↔101100111001⨎≮⫘↔11101101110=≮⫘↔11101101110","layer":3},{"info":"≮⫘↔0⊴≮⫘↔11101101110=NaN","layer":2},{"info":"≮⫘↔11001010001000⋥≓≎NaN=NaN","layer":1},{"info":"≮⫘↔1000110001001⨵⪆NaN=≮⫘↔10100000","layer":0}]}
{"id":451,"expression_no_base_symbol":"(($4416$⩷∴$4291$)∼(∂$2088$)∑⇟⊟(($3119$-$3771$)⋝⋈⪟($1684$⨵⪆$1101$)))⪛((($1644$⨸⪁$1114$)⩤)⪄$2709$⊴$6583$⋝⋈⪟$1622$↬$3681$)","expression":"((≮⫘↔1000101000000⩷∴≮⫘↔1000011000011)∼(∂≮⫘↔100000101000)∑⇟⊟((≮⫘↔110000101111-≮⫘↔111010111011)⋝⋈⪟(≮⫘↔11010010100⨵⪆≮⫘↔10001001101)))⪛(((≮⫘↔11001101100⨸⪁≮⫘↔10001011010)⩤)⪄≮⫘↔101010010101⊴≮⫘↔1100110110111⋝⋈⪟≮⫘↔11001010110↬≮⫘↔111001100001)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":431815,"operation_count":14,"complexity_ratio":30843.928571428572,"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":4416,"base":2},"right_expr":{"type":"numeric_atoms","value":4291,"base":2}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2088,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3119,"base":2},"right_expr":{"type":"numeric_atoms","value":3771,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1684,"base":2},"right_expr":{"type":"numeric_atoms","value":1101,"base":2}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1644,"base":2},"right_expr":{"type":"numeric_atoms","value":1114,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2709,"base":2},"right_expr":{"type":"numeric_atoms","value":6583,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1622,"base":2},"right_expr":{"type":"numeric_atoms","value":3681,"base":2}}}}},"used_operators":["uFcxV4UQCh","U7g4x0WXJJ","DyGG3AbaNP","9FxExcQeMw","Uaa54Peajs","2DDjHMKMc0","rysDP5nf3Z","2DQ55sFlQl","SUmda5xLS4","Z2TMIBDE3Q","g55IO6H4Gj","Nsiff2A1zJ","B5M0gjZbta"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4416","layer":4},{"info":"number node, value=4291","layer":4},{"info":"compute binary expreesion, left_input=4416, right_input=4291, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=218","layer":3},{"info":"number node, value=2088","layer":4},{"info":"compute unary expreesion, input=2088, 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=218, 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":"number node, value=3119","layer":4},{"info":"number node, value=3771","layer":4},{"info":"compute binary expreesion, left_input=3119, right_input=3771, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-652","layer":3},{"info":"number node, value=1684","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=1684, right_input=1101, 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=-652, right_input=160, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-652","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-652, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1644","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=1114, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5516","layer":3},{"info":"compute unary expreesion, input=5516, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5516","layer":2},{"info":"number node, value=2709","layer":4},{"info":"number node, value=6583","layer":4},{"info":"compute binary expreesion, left_input=2709, right_input=6583, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1622","layer":4},{"info":"number node, value=3681","layer":4},{"info":"compute binary expreesion, left_input=1622, right_input=3681, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5516, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1000101000000⩷∴≮⫘↔1000011000011)∼(∂≮⫘↔100000101000)∑⇟⊟((≮⫘↔110000101111-≮⫘↔111010111011)⋝⋈⪟(≮⫘↔11010010100⨵⪆≮⫘↔10001001101)))⪛(((≮⫘↔11001101100⨸⪁≮⫘↔10001011010)⩤)⪄≮⫘↔101010010101⊴≮⫘↔1100110110111⋝⋈⪟≮⫘↔11001010110↬≮⫘↔111001100001)=NaN","reverse_text":"NaN=((≮⫘↔1000101000000⩷∴≮⫘↔1000011000011)∼(∂≮⫘↔100000101000)∑⇟⊟((≮⫘↔110000101111-≮⫘↔111010111011)⋝⋈⪟(≮⫘↔11010010100⨵⪆≮⫘↔10001001101)))⪛(((≮⫘↔11001101100⨸⪁≮⫘↔10001011010)⩤)⪄≮⫘↔101010010101⊴≮⫘↔1100110110111⋝⋈⪟≮⫘↔11001010110↬≮⫘↔111001100001)","cot":[{"info":"≮⫘↔1000101000000⩷∴≮⫘↔1000011000011=≮⫘↔11011010","layer":3},{"info":"∂≮⫘↔100000101000=NaN","layer":3},{"info":"≮⫘↔11011010∼NaN=NaN","layer":2},{"info":"≮⫘↔110000101111-≮⫘↔111010111011=≮⫘↔-1010001100","layer":3},{"info":"≮⫘↔11010010100⨵⪆≮⫘↔10001001101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-1010001100⋝⋈⪟≮⫘↔10100000=≮⫘↔-1010001100","layer":2},{"info":"NaN∑⇟⊟≮⫘↔-1010001100=NaN","layer":1},{"info":"≮⫘↔11001101100⨸⪁≮⫘↔10001011010=≮⫘↔1010110001100","layer":3},{"info":"≮⫘↔1010110001100⩤=≮⫘↔-1010110001100","layer":2},{"info":"≮⫘↔101010010101⊴≮⫘↔1100110110111=NaN","layer":3},{"info":"≮⫘↔11001010110↬≮⫘↔111001100001=NaN","layer":3},{"info":"NaN⋝⋈⪟NaN=NaN","layer":2},{"info":"≮⫘↔-1010110001100⪄NaN=≮⫘↔111110001011","layer":1},{"info":"NaN⪛≮⫘↔111110001011=NaN","layer":0}]}
{"id":452,"expression_no_base_symbol":"($1028$⨰$3643$⨐⩸⫘$2353$⨓$6991$)∼(($1162$⨰$9609$)∀⇚≩$2338$⪢$3570$)∀⇚≩((≤/$2966$⨽$2631$)⪒($3591$⊘)↙$9150$≧⫂∧$4792$)","expression":"(≮⫘↔10000000100⨰≮⫘↔111000111011⨐⩸⫘≮⫘↔100100110001⨓≮⫘↔1101101001111)∼((≮⫘↔10010001010⨰≮⫘↔10010110001001)∀⇚≩≮⫘↔100100100010⪢≮⫘↔110111110010)∀⇚≩((≤/≮⫘↔101110010110⨽≮⫘↔101001000111)⪒(≮⫘↔111000000111⊘)↙≮⫘↔10001110111110≧⫂∧≮⫘↔1001010111000)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":72643,"operation_count":14,"complexity_ratio":5188.785714285715,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1028,"base":2},"right_expr":{"type":"numeric_atoms","value":3643,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2353,"base":2},"right_expr":{"type":"numeric_atoms","value":6991,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1162,"base":2},"right_expr":{"type":"numeric_atoms","value":9609,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2338,"base":2},"right_expr":{"type":"numeric_atoms","value":3570,"base":2}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2966,"base":2},"right_expr":{"type":"numeric_atoms","value":2631,"base":2}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3591,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":9150,"base":2},"right_expr":{"type":"numeric_atoms","value":4792,"base":2}}}}},"used_operators":["LRNGc0VcxI","DyGG3AbaNP","fu6greOZ01","eewbuw0ToL","3ViojmjbAp","dWAJyo7jo9","f6k1SAg4EE","eLAdDNolq6","8HhzD0ZcuI","yyfyN0ffXY","gu96TGCTMs","Ph9nP6C5qx"],"dependent_operators":["X99M06cbEe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1028","layer":4},{"info":"number node, value=3643","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=3643, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2605","layer":3},{"info":"number node, value=2353","layer":4},{"info":"number node, value=6991","layer":4},{"info":"compute binary expreesion, left_input=2353, right_input=6991, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6994","layer":3},{"info":"compute binary expreesion, left_input=-2605, right_input=-6994, 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=1162","layer":4},{"info":"number node, value=9609","layer":4},{"info":"compute binary expreesion, left_input=1162, right_input=9609, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-8437","layer":3},{"info":"number node, value=2338","layer":4},{"info":"number node, value=3570","layer":4},{"info":"compute binary expreesion, left_input=2338, right_input=3570, 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=-8437, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=2966","layer":4},{"info":"number node, value=2631","layer":4},{"info":"compute binary expreesion, left_input=2966, right_input=2631, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-26398047","layer":3},{"info":"compute unary expreesion, input=-26398047, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=26398531","layer":2},{"info":"number node, value=3591","layer":4},{"info":"compute unary expreesion, input=3591, 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=9150","layer":4},{"info":"number node, value=4792","layer":4},{"info":"compute binary expreesion, left_input=9150, right_input=4792, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4319","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4319, 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=26398531, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-26398531","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-26398531, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10000000100⨰≮⫘↔111000111011⨐⩸⫘≮⫘↔100100110001⨓≮⫘↔1101101001111)∼((≮⫘↔10010001010⨰≮⫘↔10010110001001)∀⇚≩≮⫘↔100100100010⪢≮⫘↔110111110010)∀⇚≩((≤/≮⫘↔101110010110⨽≮⫘↔101001000111)⪒(≮⫘↔111000000111⊘)↙≮⫘↔10001110111110≧⫂∧≮⫘↔1001010111000)=NaN","reverse_text":"NaN=(≮⫘↔10000000100⨰≮⫘↔111000111011⨐⩸⫘≮⫘↔100100110001⨓≮⫘↔1101101001111)∼((≮⫘↔10010001010⨰≮⫘↔10010110001001)∀⇚≩≮⫘↔100100100010⪢≮⫘↔110111110010)∀⇚≩((≤/≮⫘↔101110010110⨽≮⫘↔101001000111)⪒(≮⫘↔111000000111⊘)↙≮⫘↔10001110111110≧⫂∧≮⫘↔1001010111000)","cot":[{"info":"≮⫘↔10000000100⨰≮⫘↔111000111011=≮⫘↔-101000101101","layer":3},{"info":"≮⫘↔100100110001⨓≮⫘↔1101101001111=≮⫘↔-1101101010010","layer":3},{"info":"≮⫘↔-101000101101⨐⩸⫘≮⫘↔-1101101010010=NaN","layer":2},{"info":"≮⫘↔10010001010⨰≮⫘↔10010110001001=≮⫘↔-10000011110101","layer":3},{"info":"≮⫘↔100100100010⪢≮⫘↔110111110010=NaN","layer":3},{"info":"≮⫘↔-10000011110101∀⇚≩NaN=NaN","layer":2},{"info":"NaN∼NaN=NaN","layer":1},{"info":"≮⫘↔101110010110⨽≮⫘↔101001000111=≮⫘↔-1100100101100110101011111","layer":3},{"info":"≤/≮⫘↔-1100100101100110101011111=≮⫘↔1100100101100111101000011","layer":2},{"info":"≮⫘↔111000000111⊘=≮⫘↔0","layer":3},{"info":"≮⫘↔10001110111110≧⫂∧≮⫘↔1001010111000=≮⫘↔1000011011111","layer":3},{"info":"≮⫘↔0↙≮⫘↔1000011011111=≮⫘↔0","layer":2},{"info":"≮⫘↔1100100101100111101000011⪒≮⫘↔0=≮⫘↔-1100100101100111101000011","layer":1},{"info":"NaN∀⇚≩≮⫘↔-1100100101100111101000011=NaN","layer":0}]}
{"id":453,"expression_no_base_symbol":"⨞⊢($2299$⪘⫢$2111$⫥∨⫟($6919$⨎$2072$)⋷$1274$⩨$3880$⊭↱$1186$⊴$4427$)","expression":"⨞⊢(≮⫘↔100011111011⪘⫢≮⫘↔100000111111⫥∨⫟(≮⫘↔1101100000111⨎≮⫘↔100000011000)⋷≮⫘↔10011111010⩨≮⫘↔111100101000⊭↱≮⫘↔10010100010⊴≮⫘↔1000101001011)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4619,"operation_count":8,"complexity_ratio":577.375,"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":2299,"base":2},"right_expr":{"type":"numeric_atoms","value":2111,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6919,"base":2},"right_expr":{"type":"numeric_atoms","value":2072,"base":2}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1274,"base":2},"right_expr":{"type":"numeric_atoms","value":3880,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1186,"base":2},"right_expr":{"type":"numeric_atoms","value":4427,"base":2}}}}},"used_operators":["xUOZtlo3hN","23Mk6UjR3U","KYD54nUTWz","oacrs7FA3X","rJVOvQCfKK","COABgblf1C","2DlMacCsIx","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2299","layer":4},{"info":"number node, value=2111","layer":4},{"info":"compute binary expreesion, left_input=2299, right_input=2111, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4474","layer":3},{"info":"number node, value=6919","layer":4},{"info":"number node, value=2072","layer":4},{"info":"compute binary expreesion, left_input=6919, right_input=2072, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2072","layer":3},{"info":"compute binary expreesion, left_input=4474, right_input=2072, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1274","layer":4},{"info":"number node, value=3880","layer":4},{"info":"compute binary expreesion, left_input=1274, right_input=3880, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"number node, value=1186","layer":4},{"info":"number node, value=4427","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=4427, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-9, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⨞⊢(≮⫘↔100011111011⪘⫢≮⫘↔100000111111⫥∨⫟(≮⫘↔1101100000111⨎≮⫘↔100000011000)⋷≮⫘↔10011111010⩨≮⫘↔111100101000⊭↱≮⫘↔10010100010⊴≮⫘↔1000101001011)=NaN","reverse_text":"NaN=⨞⊢(≮⫘↔100011111011⪘⫢≮⫘↔100000111111⫥∨⫟(≮⫘↔1101100000111⨎≮⫘↔100000011000)⋷≮⫘↔10011111010⩨≮⫘↔111100101000⊭↱≮⫘↔10010100010⊴≮⫘↔1000101001011)","cot":[{"info":"≮⫘↔100011111011⪘⫢≮⫘↔100000111111=≮⫘↔1000101111010","layer":3},{"info":"≮⫘↔1101100000111⨎≮⫘↔100000011000=≮⫘↔100000011000","layer":3},{"info":"≮⫘↔1000101111010⫥∨⫟≮⫘↔100000011000=NaN","layer":2},{"info":"≮⫘↔10011111010⩨≮⫘↔111100101000=≮⫘↔-1001","layer":3},{"info":"≮⫘↔10010100010⊴≮⫘↔1000101001011=NaN","layer":3},{"info":"≮⫘↔-1001⊭↱NaN=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":454,"expression_no_base_symbol":"((⫛⫱⨽($1596$⊭↱$4694$))⪢($2763$⋥≓≎$1556$⪒(↩$2883$)))≹⇙⪍(⪝⪂⫅(↯⪼($1631$⫥∨⫟$3456$)))","expression":"((⫛⫱⨽(≮⫘↔11000111100⊭↱≮⫘↔1001001010110))⪢(≮⫘↔101011001011⋥≓≎≮⫘↔11000010100⪒(↩≮⫘↔101101000011)))≹⇙⪍(⪝⪂⫅(↯⪼(≮⫘↔11001011111⫥∨⫟≮⫘↔110110000000)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21563,"operation_count":10,"complexity_ratio":2156.3,"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":1596,"base":2},"right_expr":{"type":"numeric_atoms","value":4694,"base":2}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2763,"base":2},"right_expr":{"type":"numeric_atoms","value":1556,"base":2}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2883,"base":2}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1631,"base":2},"right_expr":{"type":"numeric_atoms","value":3456,"base":2}}}}},"used_operators":["AHs5Up7iyr","dWAJyo7jo9","DlLNRPXxWL","COABgblf1C","f6k1SAg4EE","Qy55tPpLXF","jLgFTUHLKL","XTarYq4gQB","8jW3W4yZS5","KYD54nUTWz"],"dependent_operators":["dWAJyo7jo9","k8jYdgA6NY","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9HNa5Wba9A","8w2t5hMYqp","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1596","layer":4},{"info":"number node, value=4694","layer":4},{"info":"compute binary expreesion, left_input=1596, right_input=4694, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6201","layer":3},{"info":"compute unary expreesion, input=6201, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=2763","layer":4},{"info":"number node, value=1556","layer":4},{"info":"compute binary expreesion, left_input=2763, right_input=1556, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=382","layer":3},{"info":"number node, value=2883","layer":4},{"info":"compute unary expreesion, input=2883, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-20284","layer":3},{"info":"compute binary expreesion, left_input=382, right_input=-20284, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=19902","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=19902, 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=1631","layer":4},{"info":"number node, value=3456","layer":4},{"info":"compute binary expreesion, left_input=1631, right_input=3456, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=3087","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3087, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⫛⫱⨽(≮⫘↔11000111100⊭↱≮⫘↔1001001010110))⪢(≮⫘↔101011001011⋥≓≎≮⫘↔11000010100⪒(↩≮⫘↔101101000011)))≹⇙⪍(⪝⪂⫅(↯⪼(≮⫘↔11001011111⫥∨⫟≮⫘↔110110000000)))=NaN","reverse_text":"NaN=((⫛⫱⨽(≮⫘↔11000111100⊭↱≮⫘↔1001001010110))⪢(≮⫘↔101011001011⋥≓≎≮⫘↔11000010100⪒(↩≮⫘↔101101000011)))≹⇙⪍(⪝⪂⫅(↯⪼(≮⫘↔11001011111⫥∨⫟≮⫘↔110110000000)))","cot":[{"info":"≮⫘↔11000111100⊭↱≮⫘↔1001001010110=≮⫘↔1100000111001","layer":3},{"info":"⫛⫱⨽≮⫘↔1100000111001=≮⫘↔0","layer":2},{"info":"≮⫘↔101011001011⋥≓≎≮⫘↔11000010100=≮⫘↔101111110","layer":3},{"info":"↩≮⫘↔101101000011=≮⫘↔-100111100111100","layer":3},{"info":"≮⫘↔101111110⪒≮⫘↔-100111100111100=≮⫘↔100110110111110","layer":2},{"info":"≮⫘↔0⪢≮⫘↔100110110111110=NaN","layer":1},{"info":"≮⫘↔11001011111⫥∨⫟≮⫘↔110110000000=NaN","layer":3},{"info":"↯⪼NaN=≮⫘↔-10101","layer":2},{"info":"⪝⪂⫅≮⫘↔-10101=≮⫘↔110000001111","layer":1},{"info":"NaN≹⇙⪍≮⫘↔110000001111=NaN","layer":0}]}
{"id":455,"expression_no_base_symbol":"($2984$⨐⩸⫘$4145$-($1183$⫡⨏$3979$))≹⇙⪍(⫛⫱⨽($4986$∼$1292$))⨐⩸⫘(≦∁$1204$⊴$4772$∀⇚≩($1437$⨰$1424$))","expression":"(≮⫘↔101110101000⨐⩸⫘≮⫘↔1000000110001-(≮⫘↔10010011111⫡⨏≮⫘↔111110001011))≹⇙⪍(⫛⫱⨽(≮⫘↔1001101111010∼≮⫘↔10100001100))⨐⩸⫘(≦∁≮⫘↔10010110100⊴≮⫘↔1001010100100∀⇚≩(≮⫘↔10110011101⨰≮⫘↔10110010000))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5808,"operation_count":11,"complexity_ratio":528.0,"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":2984,"base":2},"right_expr":{"type":"numeric_atoms","value":4145,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1183,"base":2},"right_expr":{"type":"numeric_atoms","value":3979,"base":2}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4986,"base":2},"right_expr":{"type":"numeric_atoms","value":1292,"base":2}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1204,"base":2},"right_expr":{"type":"numeric_atoms","value":4772,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1437,"base":2},"right_expr":{"type":"numeric_atoms","value":1424,"base":2}}}}},"used_operators":["fu6greOZ01","AHs5Up7iyr","rysDP5nf3Z","QMFrweE19q","DlLNRPXxWL","DyGG3AbaNP","9ICcGScMcE","LRNGc0VcxI","Nsiff2A1zJ","eewbuw0ToL"],"dependent_operators":["3ViojmjbAp","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","X99M06cbEe","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2984","layer":4},{"info":"number node, value=4145","layer":4},{"info":"compute binary expreesion, left_input=2984, right_input=4145, 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=1183","layer":4},{"info":"number node, value=3979","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=3979, 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=14656","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=14656, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4986","layer":4},{"info":"number node, value=1292","layer":4},{"info":"compute binary expreesion, left_input=4986, right_input=1292, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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":"number node, value=1204","layer":4},{"info":"number node, value=4772","layer":4},{"info":"compute binary expreesion, left_input=1204, right_input=4772, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1437","layer":4},{"info":"number node, value=1424","layer":4},{"info":"compute binary expreesion, left_input=1437, right_input=1424, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=23","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=23, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101110101000⨐⩸⫘≮⫘↔1000000110001-(≮⫘↔10010011111⫡⨏≮⫘↔111110001011))≹⇙⪍(⫛⫱⨽(≮⫘↔1001101111010∼≮⫘↔10100001100))⨐⩸⫘(≦∁≮⫘↔10010110100⊴≮⫘↔1001010100100∀⇚≩(≮⫘↔10110011101⨰≮⫘↔10110010000))=NaN","reverse_text":"NaN=(≮⫘↔101110101000⨐⩸⫘≮⫘↔1000000110001-(≮⫘↔10010011111⫡⨏≮⫘↔111110001011))≹⇙⪍(⫛⫱⨽(≮⫘↔1001101111010∼≮⫘↔10100001100))⨐⩸⫘(≦∁≮⫘↔10010110100⊴≮⫘↔1001010100100∀⇚≩(≮⫘↔10110011101⨰≮⫘↔10110010000))","cot":[{"info":"≮⫘↔101110101000⨐⩸⫘≮⫘↔1000000110001=NaN","layer":3},{"info":"≮⫘↔10010011111⫡⨏≮⫘↔111110001011=≮⫘↔11100101000000","layer":3},{"info":"NaN-≮⫘↔11100101000000=NaN","layer":2},{"info":"≮⫘↔1001101111010∼≮⫘↔10100001100=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"≮⫘↔10010110100⊴≮⫘↔1001010100100=NaN","layer":3},{"info":"≮⫘↔10110011101⨰≮⫘↔10110010000=≮⫘↔10111","layer":3},{"info":"NaN∀⇚≩≮⫘↔10111=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":456,"expression_no_base_symbol":"((($1075$%$2173$)⊪)⇋≉)≦≮≮","expression":"(((≮⫘↔10000110011%≮⫘↔100001111101)⊪)⇋≉)≦≮≮","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":40,"operation_count":4,"complexity_ratio":10.0,"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":1075,"base":2},"right_expr":{"type":"numeric_atoms","value":2173,"base":2}}}}},"used_operators":["D4vGDi5EA2","XIabStNQrY","zVYPLywUTj","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z"],"result":"≮⫘↔100100110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1075","layer":4},{"info":"number node, value=2173","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=2173, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1075","layer":3},{"info":"compute unary expreesion, input=1075, 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":"compute unary expreesion, input=0, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":1},{"info":"compute unary expreesion, input=-98, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=294","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10000110011%≮⫘↔100001111101)⊪)⇋≉)≦≮≮=≮⫘↔100100110","reverse_text":"≮⫘↔100100110=(((≮⫘↔10000110011%≮⫘↔100001111101)⊪)⇋≉)≦≮≮","cot":[{"info":"≮⫘↔10000110011%≮⫘↔100001111101=≮⫘↔10000110011","layer":3},{"info":"≮⫘↔10000110011⊪=≮⫘↔0","layer":2},{"info":"≮⫘↔0⇋≉=≮⫘↔-1100010","layer":1},{"info":"≮⫘↔-1100010≦≮≮=≮⫘↔100100110","layer":0}]}
{"id":457,"expression_no_base_symbol":"($2114$⨵⪆$4290$)⨎($3622$⪐)*($1050$↺$3476$)⇷($3445$⨰$8079$)⩨(∂(($1256$∲⫓$1025$)+⇶⊼$1179$⪛$2661$))","expression":"(≮⫘↔100001000010⨵⪆≮⫘↔1000011000010)⨎(≮⫘↔111000100110⪐)*(≮⫘↔10000011010↺≮⫘↔110110010100)⇷(≮⫘↔110101110101⨰≮⫘↔1111110001111)⩨(∂((≮⫘↔10011101000∲⫓≮⫘↔10000000001)+⇶⊼≮⫘↔10010011011⪛≮⫘↔101001100101))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":48697,"operation_count":12,"complexity_ratio":4058.0833333333335,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2114,"base":2},"right_expr":{"type":"numeric_atoms","value":4290,"base":2}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3622,"base":2}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1050,"base":2},"right_expr":{"type":"numeric_atoms","value":3476,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3445,"base":2},"right_expr":{"type":"numeric_atoms","value":8079,"base":2}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1256,"base":2},"right_expr":{"type":"numeric_atoms","value":1025,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1179,"base":2},"right_expr":{"type":"numeric_atoms","value":2661,"base":2}}}}},"used_operators":["2DlMacCsIx","9HNa5Wba9A","rJVOvQCfKK","2DQ55sFlQl","eH2TOUuTDT","mp7IySMOzn","7j4O788W3g","eewbuw0ToL","Uaa54Peajs","TpPTUOHfaN","i8ToyICDmI","uFcxV4UQCh"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2114","layer":4},{"info":"number node, value=4290","layer":4},{"info":"compute binary expreesion, left_input=2114, right_input=4290, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3622","layer":4},{"info":"compute unary expreesion, input=3622, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=7244","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=7244, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7244","layer":2},{"info":"number node, value=1050","layer":4},{"info":"number node, value=3476","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=3476, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3476","layer":3},{"info":"number node, value=3445","layer":4},{"info":"number node, value=8079","layer":4},{"info":"compute binary expreesion, left_input=3445, right_input=8079, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4624","layer":3},{"info":"compute binary expreesion, left_input=3476, right_input=-4624, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7244, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1256","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=1256, right_input=1025, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1179","layer":4},{"info":"number node, value=2661","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=2661, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1179","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1179, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100001000010⨵⪆≮⫘↔1000011000010)⨎(≮⫘↔111000100110⪐)*(≮⫘↔10000011010↺≮⫘↔110110010100)⇷(≮⫘↔110101110101⨰≮⫘↔1111110001111)⩨(∂((≮⫘↔10011101000∲⫓≮⫘↔10000000001)+⇶⊼≮⫘↔10010011011⪛≮⫘↔101001100101))=NaN","reverse_text":"NaN=(≮⫘↔100001000010⨵⪆≮⫘↔1000011000010)⨎(≮⫘↔111000100110⪐)*(≮⫘↔10000011010↺≮⫘↔110110010100)⇷(≮⫘↔110101110101⨰≮⫘↔1111110001111)⩨(∂((≮⫘↔10011101000∲⫓≮⫘↔10000000001)+⇶⊼≮⫘↔10010011011⪛≮⫘↔101001100101))","cot":[{"info":"≮⫘↔100001000010⨵⪆≮⫘↔1000011000010=≮⫘↔10100000","layer":3},{"info":"≮⫘↔111000100110⪐=≮⫘↔1110001001100","layer":3},{"info":"≮⫘↔10100000⨎≮⫘↔1110001001100=≮⫘↔1110001001100","layer":2},{"info":"≮⫘↔10000011010↺≮⫘↔110110010100=≮⫘↔110110010100","layer":3},{"info":"≮⫘↔110101110101⨰≮⫘↔1111110001111=≮⫘↔-1001000010000","layer":3},{"info":"≮⫘↔110110010100⇷≮⫘↔-1001000010000=NaN","layer":2},{"info":"≮⫘↔1110001001100*NaN=NaN","layer":1},{"info":"≮⫘↔10011101000∲⫓≮⫘↔10000000001=≮⫘↔0","layer":3},{"info":"≮⫘↔10010011011⪛≮⫘↔101001100101=≮⫘↔10010011011","layer":3},{"info":"≮⫘↔0+⇶⊼≮⫘↔10010011011=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
{"id":458,"expression_no_base_symbol":"(($2263$⨵⪆$8026$)⪛$8963$⪮%⊝$1169$⩷∴((⫓⪴$3094$)⪠⩆⊳))∑⇟⊟(⨵≀≌(⪝⪂⫅($5898$⊭↱$4905$)))","expression":"((≮⫘↔100011010111⨵⪆≮⫘↔1111101011010)⪛≮⫘↔10001100000011⪮%⊝≮⫘↔10010010001⩷∴((⫓⪴≮⫘↔110000010110)⪠⩆⊳))∑⇟⊟(⨵≀≌(⪝⪂⫅(≮⫘↔1011100001010⊭↱≮⫘↔1001100101001)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3280,"operation_count":10,"complexity_ratio":328.0,"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":2263,"base":2},"right_expr":{"type":"numeric_atoms","value":8026,"base":2}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":8963,"base":2},"right_expr":{"type":"numeric_atoms","value":1169,"base":2}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3094,"base":2}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5898,"base":2},"right_expr":{"type":"numeric_atoms","value":4905,"base":2}}}}},"used_operators":["U7g4x0WXJJ","9FxExcQeMw","uFcxV4UQCh","2DQ55sFlQl","IWmyXbctLI","JLbD19bQDL","eLxqMNBOBk","srAu1WTS94","XTarYq4gQB","COABgblf1C"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2263","layer":4},{"info":"number node, value=8026","layer":4},{"info":"compute binary expreesion, left_input=2263, right_input=8026, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=8963","layer":4},{"info":"number node, value=1169","layer":4},{"info":"compute binary expreesion, left_input=8963, right_input=1169, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=18242","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=18242, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=160","layer":2},{"info":"number node, value=3094","layer":4},{"info":"compute unary expreesion, input=3094, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=9572836","layer":3},{"info":"compute unary expreesion, input=9572836, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=288","layer":1},{"info":"number node, value=5898","layer":4},{"info":"number node, value=4905","layer":4},{"info":"compute binary expreesion, left_input=5898, right_input=4905, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1981","layer":3},{"info":"compute unary expreesion, input=-1981, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=291207","layer":2},{"info":"compute unary expreesion, input=291207, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-873621","layer":1},{"info":"compute binary expreesion, left_input=288, right_input=-873621, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100011010111⨵⪆≮⫘↔1111101011010)⪛≮⫘↔10001100000011⪮%⊝≮⫘↔10010010001⩷∴((⫓⪴≮⫘↔110000010110)⪠⩆⊳))∑⇟⊟(⨵≀≌(⪝⪂⫅(≮⫘↔1011100001010⊭↱≮⫘↔1001100101001)))=NaN","reverse_text":"NaN=((≮⫘↔100011010111⨵⪆≮⫘↔1111101011010)⪛≮⫘↔10001100000011⪮%⊝≮⫘↔10010010001⩷∴((⫓⪴≮⫘↔110000010110)⪠⩆⊳))∑⇟⊟(⨵≀≌(⪝⪂⫅(≮⫘↔1011100001010⊭↱≮⫘↔1001100101001)))","cot":[{"info":"≮⫘↔100011010111⨵⪆≮⫘↔1111101011010=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10001100000011⪮%⊝≮⫘↔10010010001=≮⫘↔100011101000010","layer":3},{"info":"≮⫘↔10100000⪛≮⫘↔100011101000010=≮⫘↔10100000","layer":2},{"info":"⫓⪴≮⫘↔110000010110=≮⫘↔100100100001000111100100","layer":3},{"info":"≮⫘↔100100100001000111100100⪠⩆⊳=≮⫘↔0","layer":2},{"info":"≮⫘↔10100000⩷∴≮⫘↔0=≮⫘↔100100000","layer":1},{"info":"≮⫘↔1011100001010⊭↱≮⫘↔1001100101001=≮⫘↔-11110111101","layer":3},{"info":"⪝⪂⫅≮⫘↔-11110111101=≮⫘↔1000111000110000111","layer":2},{"info":"⨵≀≌≮⫘↔1000111000110000111=≮⫘↔-11010101010010010101","layer":1},{"info":"≮⫘↔100100000∑⇟⊟≮⫘↔-11010101010010010101=NaN","layer":0}]}
{"id":459,"expression_no_base_symbol":"↩((⫛⫱⨽$1006$)⇼⇔∾($3610$⪠⩆⊳)*(-$8846$)⩚⊴⇥$5972$⋝⋈⪟$5093$)","expression":"↩((⫛⫱⨽≮⫘↔1111101110)⇼⇔∾(≮⫘↔111000011010⪠⩆⊳)*(-≮⫘↔10001010001110)⩚⊴⇥≮⫘↔1011101010100⋝⋈⪟≮⫘↔1001111100101)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1457,"operation_count":8,"complexity_ratio":182.125,"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":1006,"base":2}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3610,"base":2}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":8846,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5972,"base":2},"right_expr":{"type":"numeric_atoms","value":5093,"base":2}}}}},"used_operators":["jLgFTUHLKL","9HNa5Wba9A","tifHPKVTfV","DlLNRPXxWL","JLbD19bQDL","NTOWxs364D","t8gj7n24qd","2DDjHMKMc0"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔1001011101100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1006","layer":4},{"info":"compute unary expreesion, input=1006, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=3610","layer":4},{"info":"compute unary expreesion, input=3610, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=0","layer":2},{"info":"number node, value=8846","layer":4},{"info":"compute unary expreesion, input=8846, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-8846","layer":3},{"info":"number node, value=5972","layer":4},{"info":"number node, value=5093","layer":4},{"info":"compute binary expreesion, left_input=5972, right_input=5093, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5972","layer":3},{"info":"compute binary expreesion, left_input=-8846, right_input=5972, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=2753","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2753, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":0}],"base":2,"result_base":2,"text":"↩((⫛⫱⨽≮⫘↔1111101110)⇼⇔∾(≮⫘↔111000011010⪠⩆⊳)*(-≮⫘↔10001010001110)⩚⊴⇥≮⫘↔1011101010100⋝⋈⪟≮⫘↔1001111100101)=≮⫘↔1001011101100","reverse_text":"≮⫘↔1001011101100=↩((⫛⫱⨽≮⫘↔1111101110)⇼⇔∾(≮⫘↔111000011010⪠⩆⊳)*(-≮⫘↔10001010001110)⩚⊴⇥≮⫘↔1011101010100⋝⋈⪟≮⫘↔1001111100101)","cot":[{"info":"⫛⫱⨽≮⫘↔1111101110=≮⫘↔0","layer":3},{"info":"≮⫘↔111000011010⪠⩆⊳=≮⫘↔0","layer":3},{"info":"≮⫘↔0⇼⇔∾≮⫘↔0=≮⫘↔0","layer":2},{"info":"-≮⫘↔10001010001110=≮⫘↔-10001010001110","layer":3},{"info":"≮⫘↔1011101010100⋝⋈⪟≮⫘↔1001111100101=≮⫘↔1011101010100","layer":3},{"info":"≮⫘↔-10001010001110⩚⊴⇥≮⫘↔1011101010100=≮⫘↔101011000001","layer":2},{"info":"≮⫘↔0*≮⫘↔101011000001=≮⫘↔0","layer":1},{"info":"↩≮⫘↔0=≮⫘↔1001011101100","layer":0}]}
{"id":460,"expression_no_base_symbol":"((⪝⪂⫅$7947$)⩨(↽≂$3768$)⊭↱(≤/$1390$⨽$1858$))⇷((≉$5496$)≹⇙⪍($1029$⊠≄⫣)⨓(($4169$≫≃)⋫))","expression":"((⪝⪂⫅≮⫘↔1111100001011)⩨(↽≂≮⫘↔111010111000)⊭↱(≤/≮⫘↔10101101110⨽≮⫘↔11101000010))⇷((≉≮⫘↔1010101111000)≹⇙⪍(≮⫘↔10000000101⊠≄⫣)⨓((≮⫘↔1000001001001≫≃)⋫))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21069,"operation_count":13,"complexity_ratio":1620.6923076923076,"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":7947,"base":2}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3768,"base":2}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1390,"base":2},"right_expr":{"type":"numeric_atoms","value":1858,"base":2}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5496,"base":2}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1029,"base":2}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4169,"base":2}}}}},"used_operators":["mp7IySMOzn","COABgblf1C","2DlMacCsIx","XTarYq4gQB","u6S6b8DprG","eLAdDNolq6","8HhzD0ZcuI","3ViojmjbAp","AHs5Up7iyr","e1ybzncUwg","DIvbN7qnHd","JL8yIekQnl","X99M06cbEe"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7947","layer":4},{"info":"compute unary expreesion, input=7947, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1168209","layer":3},{"info":"number node, value=3768","layer":4},{"info":"compute unary expreesion, input=3768, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7536","layer":3},{"info":"compute binary expreesion, left_input=-1168209, right_input=-7536, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"number node, value=1390","layer":4},{"info":"number node, value=1858","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=1858, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5800560","layer":3},{"info":"compute unary expreesion, input=-5800560, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=5801044","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=5801044, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=11602093","layer":1},{"info":"number node, value=5496","layer":4},{"info":"compute unary expreesion, input=5496, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6027","layer":3},{"info":"number node, value=1029","layer":4},{"info":"compute unary expreesion, input=1029, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6027, 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=6027","layer":2},{"info":"number node, value=4169","layer":4},{"info":"compute unary expreesion, input=4169, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=9739","layer":3},{"info":"compute unary expreesion, input=9739, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=9739","layer":2},{"info":"compute binary expreesion, left_input=6027, right_input=9739, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-9742","layer":1},{"info":"compute binary expreesion, left_input=11602093, right_input=-9742, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⪝⪂⫅≮⫘↔1111100001011)⩨(↽≂≮⫘↔111010111000)⊭↱(≤/≮⫘↔10101101110⨽≮⫘↔11101000010))⇷((≉≮⫘↔1010101111000)≹⇙⪍(≮⫘↔10000000101⊠≄⫣)⨓((≮⫘↔1000001001001≫≃)⋫))=NaN","reverse_text":"NaN=((⪝⪂⫅≮⫘↔1111100001011)⩨(↽≂≮⫘↔111010111000)⊭↱(≤/≮⫘↔10101101110⨽≮⫘↔11101000010))⇷((≉≮⫘↔1010101111000)≹⇙⪍(≮⫘↔10000000101⊠≄⫣)⨓((≮⫘↔1000001001001≫≃)⋫))","cot":[{"info":"⪝⪂⫅≮⫘↔1111100001011=≮⫘↔-100011101001101010001","layer":3},{"info":"↽≂≮⫘↔111010111000=≮⫘↔-1110101110000","layer":3},{"info":"≮⫘↔-100011101001101010001⩨≮⫘↔-1110101110000=≮⫘↔0","layer":2},{"info":"≮⫘↔10101101110⨽≮⫘↔11101000010=≮⫘↔-10110001000001001110000","layer":3},{"info":"≤/≮⫘↔-10110001000001001110000=≮⫘↔10110001000010001010100","layer":2},{"info":"≮⫘↔0⊭↱≮⫘↔10110001000010001010100=≮⫘↔101100010000100010101101","layer":1},{"info":"≉≮⫘↔1010101111000=≮⫘↔1011110001011","layer":3},{"info":"≮⫘↔10000000101⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔1011110001011≹⇙⪍≮⫘↔0=≮⫘↔1011110001011","layer":2},{"info":"≮⫘↔1000001001001≫≃=≮⫘↔10011000001011","layer":3},{"info":"≮⫘↔10011000001011⋫=≮⫘↔10011000001011","layer":2},{"info":"≮⫘↔1011110001011⨓≮⫘↔10011000001011=≮⫘↔-10011000001110","layer":1},{"info":"≮⫘↔101100010000100010101101⇷≮⫘↔-10011000001110=NaN","layer":0}]}
{"id":461,"expression_no_base_symbol":"(⪝⪂⫅(($3652$≋⫹)⨳⩥⨓$3657$≹⇙⪍$4027$))⋓((($2269$/$3401$)⋳⪒($3115$⊪))⩤)","expression":"(⪝⪂⫅((≮⫘↔111001000100≋⫹)⨳⩥⨓≮⫘↔111001001001≹⇙⪍≮⫘↔111110111011))⋓(((≮⫘↔100011011101/≮⫘↔110101001001)⋳⪒(≮⫘↔110000101011⊪))⩤)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":66,"operation_count":9,"complexity_ratio":7.333333333333333,"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":3652,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3657,"base":2},"right_expr":{"type":"numeric_atoms","value":4027,"base":2}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2269,"base":2},"right_expr":{"type":"numeric_atoms","value":3401,"base":2}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3115,"base":2}}}}},"used_operators":["T2fj7uvVaJ","XTarYq4gQB","nCS4ZIUYfx","N41Kp7NANJ","AHs5Up7iyr","Z2TMIBDE3Q","12rbrZMWeM","XhwjNDsVaA","zVYPLywUTj"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3652","layer":4},{"info":"compute unary expreesion, input=3652, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-7304","layer":3},{"info":"number node, value=3657","layer":4},{"info":"number node, value=4027","layer":4},{"info":"compute binary expreesion, left_input=3657, right_input=4027, 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=-7304, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"number node, value=2269","layer":4},{"info":"number node, value=3401","layer":4},{"info":"compute binary expreesion, left_input=2269, right_input=3401, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=3115","layer":4},{"info":"compute unary expreesion, input=3115, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-287","layer":2},{"info":"compute unary expreesion, input=-287, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=287","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=287, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(⪝⪂⫅((≮⫘↔111001000100≋⫹)⨳⩥⨓≮⫘↔111001001001≹⇙⪍≮⫘↔111110111011))⋓(((≮⫘↔100011011101/≮⫘↔110101001001)⋳⪒(≮⫘↔110000101011⊪))⩤)=≮⫘↔0","reverse_text":"≮⫘↔0=(⪝⪂⫅((≮⫘↔111001000100≋⫹)⨳⩥⨓≮⫘↔111001001001≹⇙⪍≮⫘↔111110111011))⋓(((≮⫘↔100011011101/≮⫘↔110101001001)⋳⪒(≮⫘↔110000101011⊪))⩤)","cot":[{"info":"≮⫘↔111001000100≋⫹=≮⫘↔-1110010001000","layer":3},{"info":"≮⫘↔111001001001≹⇙⪍≮⫘↔111110111011=NaN","layer":3},{"info":"≮⫘↔-1110010001000⨳⩥⨓NaN=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"≮⫘↔100011011101/≮⫘↔110101001001=≮⫘↔0","layer":3},{"info":"≮⫘↔110000101011⊪=≮⫘↔0","layer":3},{"info":"≮⫘↔0⋳⪒≮⫘↔0=≮⫘↔-100011111","layer":2},{"info":"≮⫘↔-100011111⩤=≮⫘↔100011111","layer":1},{"info":"NaN⋓≮⫘↔100011111=≮⫘↔0","layer":0}]}
{"id":462,"expression_no_base_symbol":"(($4285$≋⫹)∲⫓($1199$⋷$8273$))≹⇙⪍((↣≠⋷$1872$)*$5587$⫥∨⫟$1208$)⪨≂(⨰⫟⨤($2424$⩤))≹⇙⪍(($4454$⊭↱$2287$)∼($3011$⪐))","expression":"((≮⫘↔1000010111101≋⫹)∲⫓(≮⫘↔10010101111⋷≮⫘↔10000001010001))≹⇙⪍((↣≠⋷≮⫘↔11101010000)*≮⫘↔1010111010011⫥∨⫟≮⫘↔10010111000)⪨≂(⨰⫟⨤(≮⫘↔100101111000⩤))≹⇙⪍((≮⫘↔1000101100110⊭↱≮⫘↔100011101111)∼(≮⫘↔101111000011⪐))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10856,"operation_count":14,"complexity_ratio":775.4285714285714,"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":4285,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1199,"base":2},"right_expr":{"type":"numeric_atoms","value":8273,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1872,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5587,"base":2},"right_expr":{"type":"numeric_atoms","value":1208,"base":2}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2424,"base":2}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4454,"base":2},"right_expr":{"type":"numeric_atoms","value":2287,"base":2}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3011,"base":2}}}}},"used_operators":["sdazOOVcIp","AHs5Up7iyr","i8ToyICDmI","N41Kp7NANJ","23Mk6UjR3U","9HNa5Wba9A","Asc51vEJeQ","KYD54nUTWz","Tw270M8GLb","Z2TMIBDE3Q","DyGG3AbaNP","COABgblf1C","eH2TOUuTDT"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4285","layer":4},{"info":"compute unary expreesion, input=4285, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-8570","layer":3},{"info":"number node, value=1199","layer":4},{"info":"number node, value=8273","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=8273, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=15347","layer":3},{"info":"compute binary expreesion, left_input=-8570, right_input=15347, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1872","layer":4},{"info":"compute unary expreesion, input=1872, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=5587","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=5587, right_input=1208, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2424","layer":4},{"info":"compute unary expreesion, input=2424, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2424","layer":3},{"info":"compute unary expreesion, input=-2424, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=4454","layer":4},{"info":"number node, value=2287","layer":4},{"info":"compute binary expreesion, left_input=4454, right_input=2287, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4329","layer":3},{"info":"number node, value=3011","layer":4},{"info":"compute unary expreesion, input=3011, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=6022","layer":3},{"info":"compute binary expreesion, left_input=-4329, right_input=6022, 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 = 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 = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1000010111101≋⫹)∲⫓(≮⫘↔10010101111⋷≮⫘↔10000001010001))≹⇙⪍((↣≠⋷≮⫘↔11101010000)*≮⫘↔1010111010011⫥∨⫟≮⫘↔10010111000)⪨≂(⨰⫟⨤(≮⫘↔100101111000⩤))≹⇙⪍((≮⫘↔1000101100110⊭↱≮⫘↔100011101111)∼(≮⫘↔101111000011⪐))=NaN","reverse_text":"NaN=((≮⫘↔1000010111101≋⫹)∲⫓(≮⫘↔10010101111⋷≮⫘↔10000001010001))≹⇙⪍((↣≠⋷≮⫘↔11101010000)*≮⫘↔1010111010011⫥∨⫟≮⫘↔10010111000)⪨≂(⨰⫟⨤(≮⫘↔100101111000⩤))≹⇙⪍((≮⫘↔1000101100110⊭↱≮⫘↔100011101111)∼(≮⫘↔101111000011⪐))","cot":[{"info":"≮⫘↔1000010111101≋⫹=≮⫘↔-10000101111010","layer":3},{"info":"≮⫘↔10010101111⋷≮⫘↔10000001010001=≮⫘↔11101111110011","layer":3},{"info":"≮⫘↔-10000101111010∲⫓≮⫘↔11101111110011=≮⫘↔0","layer":2},{"info":"↣≠⋷≮⫘↔11101010000=NaN","layer":3},{"info":"≮⫘↔1010111010011⫥∨⫟≮⫘↔10010111000=NaN","layer":3},{"info":"NaN*NaN=NaN","layer":2},{"info":"≮⫘↔0≹⇙⪍NaN=NaN","layer":1},{"info":"≮⫘↔100101111000⩤=≮⫘↔-100101111000","layer":3},{"info":"⨰⫟⨤≮⫘↔-100101111000=NaN","layer":2},{"info":"≮⫘↔1000101100110⊭↱≮⫘↔100011101111=≮⫘↔-1000011101001","layer":3},{"info":"≮⫘↔101111000011⪐=≮⫘↔1011110000110","layer":3},{"info":"≮⫘↔-1000011101001∼≮⫘↔1011110000110=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":463,"expression_no_base_symbol":"($1817$⫌⩹⨱)≹⇙⪍($4791$⋥≓≎$2214$)⨪↰⇹(-$2757$⪄$1736$)+⇶⊼(∥⊫$2787$⨰$1271$⨰$2717$∀⇚≩$1612$)","expression":"(≮⫘↔11100011001⫌⩹⨱)≹⇙⪍(≮⫘↔1001010110111⋥≓≎≮⫘↔100010100110)⨪↰⇹(-≮⫘↔101011000101⪄≮⫘↔11011001000)+⇶⊼(∥⊫≮⫘↔101011100011⨰≮⫘↔10011110111⨰≮⫘↔101010011101∀⇚≩≮⫘↔11001001100)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":128164,"operation_count":11,"complexity_ratio":11651.272727272728,"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":1817,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4791,"base":2},"right_expr":{"type":"numeric_atoms","value":2214,"base":2}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2757,"base":2},"right_expr":{"type":"numeric_atoms","value":1736,"base":2}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2787,"base":2},"right_expr":{"type":"numeric_atoms","value":1271,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2717,"base":2},"right_expr":{"type":"numeric_atoms","value":1612,"base":2}}}}},"used_operators":["TpPTUOHfaN","tmPS8pqC7x","AHs5Up7iyr","EBcxylXtPf","Qy55tPpLXF","t8gj7n24qd","SUmda5xLS4","P8v4zCKN1o","eewbuw0ToL","LRNGc0VcxI"],"dependent_operators":["AHs5Up7iyr","rJVOvQCfKK","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1817","layer":4},{"info":"compute unary expreesion, input=1817, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=5035","layer":3},{"info":"number node, value=4791","layer":4},{"info":"number node, value=2214","layer":4},{"info":"compute binary expreesion, left_input=4791, right_input=2214, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-330","layer":3},{"info":"compute binary expreesion, left_input=5035, right_input=-330, 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=2757","layer":4},{"info":"number node, value=1736","layer":4},{"info":"compute binary expreesion, left_input=2757, right_input=1736, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-411069","layer":3},{"info":"compute unary expreesion, input=-411069, op_id = t8gj7n24qd, unary_op_definition = 'None', output=411069","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=411069, 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=2787","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=2787, right_input=1271, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1526","layer":3},{"info":"number node, value=2717","layer":4},{"info":"number node, value=1612","layer":4},{"info":"compute binary expreesion, left_input=2717, right_input=1612, 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=1526, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', 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 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":2,"result_base":2,"text":"(≮⫘↔11100011001⫌⩹⨱)≹⇙⪍(≮⫘↔1001010110111⋥≓≎≮⫘↔100010100110)⨪↰⇹(-≮⫘↔101011000101⪄≮⫘↔11011001000)+⇶⊼(∥⊫≮⫘↔101011100011⨰≮⫘↔10011110111⨰≮⫘↔101010011101∀⇚≩≮⫘↔11001001100)=NaN","reverse_text":"NaN=(≮⫘↔11100011001⫌⩹⨱)≹⇙⪍(≮⫘↔1001010110111⋥≓≎≮⫘↔100010100110)⨪↰⇹(-≮⫘↔101011000101⪄≮⫘↔11011001000)+⇶⊼(∥⊫≮⫘↔101011100011⨰≮⫘↔10011110111⨰≮⫘↔101010011101∀⇚≩≮⫘↔11001001100)","cot":[{"info":"≮⫘↔11100011001⫌⩹⨱=≮⫘↔1001110101011","layer":3},{"info":"≮⫘↔1001010110111⋥≓≎≮⫘↔100010100110=≮⫘↔-101001010","layer":3},{"info":"≮⫘↔1001110101011≹⇙⪍≮⫘↔-101001010=NaN","layer":2},{"info":"≮⫘↔101011000101⪄≮⫘↔11011001000=≮⫘↔-1100100010110111101","layer":3},{"info":"-≮⫘↔-1100100010110111101=≮⫘↔1100100010110111101","layer":2},{"info":"NaN⨪↰⇹≮⫘↔1100100010110111101=NaN","layer":1},{"info":"≮⫘↔101011100011⨰≮⫘↔10011110111=≮⫘↔10111110110","layer":3},{"info":"≮⫘↔101010011101∀⇚≩≮⫘↔11001001100=NaN","layer":3},{"info":"≮⫘↔10111110110⨰NaN=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":464,"expression_no_base_symbol":"((($4810$⨁⊸⫻)⋥≓≎$5721$⨎$3351$)⩚⊴⇥(≤/$4186$⪄$6731$))⪘⫢($5105$⨪↰⇹$3030$⋓($2466$+$1175$))⨟⋌⩍($1779$⪮%⊝$8895$↺$2127$⪘⫢$7206$)","expression":"(((≮⫘↔1001011001010⨁⊸⫻)⋥≓≎≮⫘↔1011001011001⨎≮⫘↔110100010111)⩚⊴⇥(≤/≮⫘↔1000001011010⪄≮⫘↔1101001001011))⪘⫢(≮⫘↔1001111110001⨪↰⇹≮⫘↔101111010110⋓(≮⫘↔100110100010+≮⫘↔10010010111))⨟⋌⩍(≮⫘↔11011110011⪮%⊝≮⫘↔10001010111111↺≮⫘↔100001001111⪘⫢≮⫘↔1110000100110)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5260,"operation_count":14,"complexity_ratio":375.7142857142857,"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":4810,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5721,"base":2},"right_expr":{"type":"numeric_atoms","value":3351,"base":2}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4186,"base":2},"right_expr":{"type":"numeric_atoms","value":6731,"base":2}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5105,"base":2},"right_expr":{"type":"numeric_atoms","value":3030,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2466,"base":2},"right_expr":{"type":"numeric_atoms","value":1175,"base":2}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1779,"base":2},"right_expr":{"type":"numeric_atoms","value":8895,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2127,"base":2},"right_expr":{"type":"numeric_atoms","value":7206,"base":2}}}}},"used_operators":["oacrs7FA3X","NTOWxs364D","Qy55tPpLXF","glklzrTFfD","rJVOvQCfKK","eLAdDNolq6","SUmda5xLS4","rGHVDoGpnC","T2fj7uvVaJ","tmPS8pqC7x","W4YGzv6Whe","7j4O788W3g","IWmyXbctLI"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Tcnh7f0tEr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4810","layer":4},{"info":"compute unary expreesion, input=4810, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4810","layer":3},{"info":"number node, value=5721","layer":4},{"info":"number node, value=3351","layer":4},{"info":"compute binary expreesion, left_input=5721, right_input=3351, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3351","layer":3},{"info":"compute binary expreesion, left_input=4810, right_input=3351, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1925","layer":2},{"info":"number node, value=4186","layer":4},{"info":"number node, value=6731","layer":4},{"info":"compute binary expreesion, left_input=4186, right_input=6731, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-642541","layer":3},{"info":"compute unary expreesion, input=-642541, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=643025","layer":2},{"info":"compute binary expreesion, left_input=1925, right_input=643025, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-645071","layer":1},{"info":"number node, value=5105","layer":4},{"info":"number node, value=3030","layer":4},{"info":"compute binary expreesion, left_input=5105, right_input=3030, 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=5105","layer":3},{"info":"number node, value=2466","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=2466, right_input=1175, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3641","layer":3},{"info":"compute binary expreesion, left_input=5105, right_input=3641, 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=1779","layer":4},{"info":"number node, value=8895","layer":4},{"info":"compute binary expreesion, left_input=1779, right_input=8895, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3874","layer":3},{"info":"number node, value=2127","layer":4},{"info":"number node, value=7206","layer":4},{"info":"compute binary expreesion, left_input=2127, right_input=7206, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4130","layer":3},{"info":"compute binary expreesion, left_input=3874, right_input=4130, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4130","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4130, 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=-645071, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1001011001010⨁⊸⫻)⋥≓≎≮⫘↔1011001011001⨎≮⫘↔110100010111)⩚⊴⇥(≤/≮⫘↔1000001011010⪄≮⫘↔1101001001011))⪘⫢(≮⫘↔1001111110001⨪↰⇹≮⫘↔101111010110⋓(≮⫘↔100110100010+≮⫘↔10010010111))⨟⋌⩍(≮⫘↔11011110011⪮%⊝≮⫘↔10001010111111↺≮⫘↔100001001111⪘⫢≮⫘↔1110000100110)=NaN","reverse_text":"NaN=(((≮⫘↔1001011001010⨁⊸⫻)⋥≓≎≮⫘↔1011001011001⨎≮⫘↔110100010111)⩚⊴⇥(≤/≮⫘↔1000001011010⪄≮⫘↔1101001001011))⪘⫢(≮⫘↔1001111110001⨪↰⇹≮⫘↔101111010110⋓(≮⫘↔100110100010+≮⫘↔10010010111))⨟⋌⩍(≮⫘↔11011110011⪮%⊝≮⫘↔10001010111111↺≮⫘↔100001001111⪘⫢≮⫘↔1110000100110)","cot":[{"info":"≮⫘↔1001011001010⨁⊸⫻=≮⫘↔1001011001010","layer":3},{"info":"≮⫘↔1011001011001⨎≮⫘↔110100010111=≮⫘↔110100010111","layer":3},{"info":"≮⫘↔1001011001010⋥≓≎≮⫘↔110100010111=≮⫘↔11110000101","layer":2},{"info":"≮⫘↔1000001011010⪄≮⫘↔1101001001011=≮⫘↔-10011100110111101101","layer":3},{"info":"≤/≮⫘↔-10011100110111101101=≮⫘↔10011100111111010001","layer":2},{"info":"≮⫘↔11110000101⩚⊴⇥≮⫘↔10011100111111010001=≮⫘↔-10011101011111001111","layer":1},{"info":"≮⫘↔1001111110001⨪↰⇹≮⫘↔101111010110=≮⫘↔1001111110001","layer":3},{"info":"≮⫘↔100110100010+≮⫘↔10010010111=≮⫘↔111000111001","layer":3},{"info":"≮⫘↔1001111110001⋓≮⫘↔111000111001=≮⫘↔0","layer":2},{"info":"≮⫘↔11011110011⪮%⊝≮⫘↔10001010111111=≮⫘↔111100100010","layer":3},{"info":"≮⫘↔100001001111⪘⫢≮⫘↔1110000100110=≮⫘↔1000000100010","layer":3},{"info":"≮⫘↔111100100010↺≮⫘↔1000000100010=≮⫘↔1000000100010","layer":2},{"info":"≮⫘↔0⨟⋌⩍≮⫘↔1000000100010=NaN","layer":1},{"info":"≮⫘↔-10011101011111001111⪘⫢NaN=NaN","layer":0}]}
{"id":465,"expression_no_base_symbol":"(($2663$⊉≛↸$1140$)⪛($3881$⨽$2450$))⊴(($3521$⋥≓≎$3371$)⨓($6148$⩷∴$7389$))⨸⪁(⪲⇎$1069$)∼($3696$⇋≉)≧⫂∧($1511$≎⊠⪸$1005$⨁⊸⫻)","expression":"((≮⫘↔101001100111⊉≛↸≮⫘↔10001110100)⪛(≮⫘↔111100101001⨽≮⫘↔100110010010))⊴((≮⫘↔110111000001⋥≓≎≮⫘↔110100101011)⨓(≮⫘↔1100000000100⩷∴≮⫘↔1110011011101))⨸⪁(⪲⇎≮⫘↔10000101101)∼(≮⫘↔111001110000⇋≉)≧⫂∧(≮⫘↔10111100111≎⊠⪸≮⫘↔1111101101⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":54170334,"operation_count":14,"complexity_ratio":3869309.5714285714,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2663,"base":2},"right_expr":{"type":"numeric_atoms","value":1140,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3881,"base":2},"right_expr":{"type":"numeric_atoms","value":2450,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3521,"base":2},"right_expr":{"type":"numeric_atoms","value":3371,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6148,"base":2},"right_expr":{"type":"numeric_atoms","value":7389,"base":2}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1069,"base":2}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3696,"base":2}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1511,"base":2},"right_expr":{"type":"numeric_atoms","value":1005,"base":2}}}}},"used_operators":["g55IO6H4Gj","Nsiff2A1zJ","uFcxV4UQCh","DZ8iAZOCBD","8HhzD0ZcuI","3ViojmjbAp","Qy55tPpLXF","9FxExcQeMw","Ph9nP6C5qx","DyGG3AbaNP","XPYlsWDdGa","XIabStNQrY","glklzrTFfD","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2663","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=2663, right_input=1140, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5326","layer":3},{"info":"number node, value=3881","layer":4},{"info":"number node, value=2450","layer":4},{"info":"compute binary expreesion, left_input=3881, right_input=2450, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-45192519","layer":3},{"info":"compute binary expreesion, left_input=5326, right_input=-45192519, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-45187193","layer":2},{"info":"number node, value=3521","layer":4},{"info":"number node, value=3371","layer":4},{"info":"compute binary expreesion, left_input=3521, right_input=3371, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3254","layer":3},{"info":"number node, value=6148","layer":4},{"info":"number node, value=7389","layer":4},{"info":"compute binary expreesion, left_input=6148, right_input=7389, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2514","layer":3},{"info":"compute binary expreesion, left_input=3254, right_input=-2514, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=2511","layer":2},{"info":"compute binary expreesion, left_input=-45187193, right_input=2511, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1069","layer":4},{"info":"compute unary expreesion, input=1069, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2138","layer":3},{"info":"number node, value=3696","layer":4},{"info":"compute unary expreesion, input=3696, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=7294","layer":3},{"info":"compute binary expreesion, left_input=2138, right_input=7294, 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=1511","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=1511, right_input=1005, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=390876","layer":3},{"info":"compute unary expreesion, input=390876, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=390876","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=390876, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=390403","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=390403, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101001100111⊉≛↸≮⫘↔10001110100)⪛(≮⫘↔111100101001⨽≮⫘↔100110010010))⊴((≮⫘↔110111000001⋥≓≎≮⫘↔110100101011)⨓(≮⫘↔1100000000100⩷∴≮⫘↔1110011011101))⨸⪁(⪲⇎≮⫘↔10000101101)∼(≮⫘↔111001110000⇋≉)≧⫂∧(≮⫘↔10111100111≎⊠⪸≮⫘↔1111101101⨁⊸⫻)=NaN","reverse_text":"NaN=((≮⫘↔101001100111⊉≛↸≮⫘↔10001110100)⪛(≮⫘↔111100101001⨽≮⫘↔100110010010))⊴((≮⫘↔110111000001⋥≓≎≮⫘↔110100101011)⨓(≮⫘↔1100000000100⩷∴≮⫘↔1110011011101))⨸⪁(⪲⇎≮⫘↔10000101101)∼(≮⫘↔111001110000⇋≉)≧⫂∧(≮⫘↔10111100111≎⊠⪸≮⫘↔1111101101⨁⊸⫻)","cot":[{"info":"≮⫘↔101001100111⊉≛↸≮⫘↔10001110100=≮⫘↔1010011001110","layer":3},{"info":"≮⫘↔111100101001⨽≮⫘↔100110010010=≮⫘↔-10101100011001010101000111","layer":3},{"info":"≮⫘↔1010011001110⪛≮⫘↔-10101100011001010101000111=≮⫘↔-10101100011000000001111001","layer":2},{"info":"≮⫘↔110111000001⋥≓≎≮⫘↔110100101011=≮⫘↔110010110110","layer":3},{"info":"≮⫘↔1100000000100⩷∴≮⫘↔1110011011101=≮⫘↔-100111010010","layer":3},{"info":"≮⫘↔110010110110⨓≮⫘↔-100111010010=≮⫘↔100111001111","layer":2},{"info":"≮⫘↔-10101100011000000001111001⊴≮⫘↔100111001111=NaN","layer":1},{"info":"⪲⇎≮⫘↔10000101101=≮⫘↔100001011010","layer":3},{"info":"≮⫘↔111001110000⇋≉=≮⫘↔1110001111110","layer":3},{"info":"≮⫘↔100001011010∼≮⫘↔1110001111110=NaN","layer":2},{"info":"≮⫘↔10111100111≎⊠⪸≮⫘↔1111101101=≮⫘↔1011111011011011100","layer":3},{"info":"≮⫘↔1011111011011011100⨁⊸⫻=≮⫘↔1011111011011011100","layer":2},{"info":"NaN≧⫂∧≮⫘↔1011111011011011100=≮⫘↔1011111010100000011","layer":1},{"info":"NaN⨸⪁≮⫘↔1011111010100000011=NaN","layer":0}]}
{"id":466,"expression_no_base_symbol":"∥⊫(⨞⊢($1247$⫸⊐$2461$))⇷(⫓⪴($1475$⋥≓≎$2664$))","expression":"∥⊫(⨞⊢(≮⫘↔10011011111⫸⊐≮⫘↔100110011101))⇷(⫓⪴(≮⫘↔10111000011⋥≓≎≮⫘↔101001101000))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":142428,"operation_count":6,"complexity_ratio":23738.0,"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":1247,"base":2},"right_expr":{"type":"numeric_atoms","value":2461,"base":2}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1475,"base":2},"right_expr":{"type":"numeric_atoms","value":2664,"base":2}}}}},"used_operators":["P8v4zCKN1o","mp7IySMOzn","xUOZtlo3hN","mqXw5SEYmG","eLxqMNBOBk","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔1110011001101101111101100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1247","layer":4},{"info":"number node, value=2461","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=2461, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9719","layer":3},{"info":"compute unary expreesion, input=9719, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-9893","layer":2},{"info":"number node, value=1475","layer":4},{"info":"number node, value=2664","layer":4},{"info":"compute binary expreesion, left_input=1475, right_input=2664, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3886","layer":3},{"info":"compute unary expreesion, input=3886, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=15100996","layer":2},{"info":"compute binary expreesion, left_input=-9893, right_input=15100996, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=30201992","layer":1},{"info":"compute unary expreesion, input=30201992, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=30202860","layer":0}],"base":2,"result_base":2,"text":"∥⊫(⨞⊢(≮⫘↔10011011111⫸⊐≮⫘↔100110011101))⇷(⫓⪴(≮⫘↔10111000011⋥≓≎≮⫘↔101001101000))=≮⫘↔1110011001101101111101100","reverse_text":"≮⫘↔1110011001101101111101100=∥⊫(⨞⊢(≮⫘↔10011011111⫸⊐≮⫘↔100110011101))⇷(⫓⪴(≮⫘↔10111000011⋥≓≎≮⫘↔101001101000))","cot":[{"info":"≮⫘↔10011011111⫸⊐≮⫘↔100110011101=≮⫘↔10010111110111","layer":3},{"info":"⨞⊢≮⫘↔10010111110111=≮⫘↔-10011010100101","layer":2},{"info":"≮⫘↔10111000011⋥≓≎≮⫘↔101001101000=≮⫘↔111100101110","layer":3},{"info":"⫓⪴≮⫘↔111100101110=≮⫘↔111001100110110001000100","layer":2},{"info":"≮⫘↔-10011010100101⇷≮⫘↔111001100110110001000100=≮⫘↔1110011001101100010001000","layer":1},{"info":"∥⊫≮⫘↔1110011001101100010001000=≮⫘↔1110011001101101111101100","layer":0}]}
{"id":467,"expression_no_base_symbol":"($3005$⨓$2824$⨳⩥⨓$1144$⨎$1135$)∀⇚≩(($5144$⨵⪆$3799$)≣⋋)⨐⩸⫘(($2592$+$2942$)%$3519$⫸⊐$4388$)↬($1026$↺$3797$/$1574$⊭↱$1539$)","expression":"(≮⫘↔101110111101⨓≮⫘↔101100001000⨳⩥⨓≮⫘↔10001111000⨎≮⫘↔10001101111)∀⇚≩((≮⫘↔1010000011000⨵⪆≮⫘↔111011010111)≣⋋)⨐⩸⫘((≮⫘↔101000100000+≮⫘↔101101111110)%≮⫘↔110110111111⫸⊐≮⫘↔1000100100100)↬(≮⫘↔10000000010↺≮⫘↔111011010101/≮⫘↔11000100110⊭↱≮⫘↔11000000011)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":30826,"operation_count":14,"complexity_ratio":2201.8571428571427,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3005,"base":2},"right_expr":{"type":"numeric_atoms","value":2824,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1144,"base":2},"right_expr":{"type":"numeric_atoms","value":1135,"base":2}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5144,"base":2},"right_expr":{"type":"numeric_atoms","value":3799,"base":2}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2592,"base":2},"right_expr":{"type":"numeric_atoms","value":2942,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3519,"base":2},"right_expr":{"type":"numeric_atoms","value":4388,"base":2}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1026,"base":2},"right_expr":{"type":"numeric_atoms","value":3797,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1574,"base":2},"right_expr":{"type":"numeric_atoms","value":1539,"base":2}}}}},"used_operators":["fu6greOZ01","LRNGc0VcxI","nCS4ZIUYfx","3ViojmjbAp","rJVOvQCfKK","Tcnh7f0tEr","2DQ55sFlQl","B5M0gjZbta","k8jYdgA6NY","W4YGzv6Whe","mqXw5SEYmG","XhwjNDsVaA","7j4O788W3g","COABgblf1C"],"dependent_operators":["3ViojmjbAp","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3005","layer":4},{"info":"number node, value=2824","layer":4},{"info":"compute binary expreesion, left_input=3005, right_input=2824, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2827","layer":3},{"info":"number node, value=1144","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=1135, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1135","layer":3},{"info":"compute binary expreesion, left_input=-2827, right_input=1135, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3962","layer":2},{"info":"number node, value=5144","layer":4},{"info":"number node, value=3799","layer":4},{"info":"compute binary expreesion, left_input=5144, right_input=3799, 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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=3962, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2592","layer":4},{"info":"number node, value=2942","layer":4},{"info":"compute binary expreesion, left_input=2592, right_input=2942, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5534","layer":3},{"info":"number node, value=3519","layer":4},{"info":"number node, value=4388","layer":4},{"info":"compute binary expreesion, left_input=3519, right_input=4388, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=17427","layer":3},{"info":"compute binary expreesion, left_input=5534, right_input=17427, op_id = k8jYdgA6NY binary_op_definition= 'None', output=5534","layer":2},{"info":"number node, value=1026","layer":4},{"info":"number node, value=3797","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=3797, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3797","layer":3},{"info":"number node, value=1574","layer":4},{"info":"number node, value=1539","layer":4},{"info":"compute binary expreesion, left_input=1574, right_input=1539, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-65","layer":3},{"info":"compute binary expreesion, left_input=3797, right_input=-65, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-59","layer":2},{"info":"compute binary expreesion, left_input=5534, right_input=-59, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101110111101⨓≮⫘↔101100001000⨳⩥⨓≮⫘↔10001111000⨎≮⫘↔10001101111)∀⇚≩((≮⫘↔1010000011000⨵⪆≮⫘↔111011010111)≣⋋)⨐⩸⫘((≮⫘↔101000100000+≮⫘↔101101111110)%≮⫘↔110110111111⫸⊐≮⫘↔1000100100100)↬(≮⫘↔10000000010↺≮⫘↔111011010101/≮⫘↔11000100110⊭↱≮⫘↔11000000011)=NaN","reverse_text":"NaN=(≮⫘↔101110111101⨓≮⫘↔101100001000⨳⩥⨓≮⫘↔10001111000⨎≮⫘↔10001101111)∀⇚≩((≮⫘↔1010000011000⨵⪆≮⫘↔111011010111)≣⋋)⨐⩸⫘((≮⫘↔101000100000+≮⫘↔101101111110)%≮⫘↔110110111111⫸⊐≮⫘↔1000100100100)↬(≮⫘↔10000000010↺≮⫘↔111011010101/≮⫘↔11000100110⊭↱≮⫘↔11000000011)","cot":[{"info":"≮⫘↔101110111101⨓≮⫘↔101100001000=≮⫘↔-101100001011","layer":3},{"info":"≮⫘↔10001111000⨎≮⫘↔10001101111=≮⫘↔10001101111","layer":3},{"info":"≮⫘↔-101100001011⨳⩥⨓≮⫘↔10001101111=≮⫘↔111101111010","layer":2},{"info":"≮⫘↔1010000011000⨵⪆≮⫘↔111011010111=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10100000≣⋋=≮⫘↔0","layer":2},{"info":"≮⫘↔111101111010∀⇚≩≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔101000100000+≮⫘↔101101111110=≮⫘↔1010110011110","layer":3},{"info":"≮⫘↔110110111111⫸⊐≮⫘↔1000100100100=≮⫘↔100010000010011","layer":3},{"info":"≮⫘↔1010110011110%≮⫘↔100010000010011=≮⫘↔1010110011110","layer":2},{"info":"≮⫘↔10000000010↺≮⫘↔111011010101=≮⫘↔111011010101","layer":3},{"info":"≮⫘↔11000100110⊭↱≮⫘↔11000000011=≮⫘↔-1000001","layer":3},{"info":"≮⫘↔111011010101/≮⫘↔-1000001=≮⫘↔-111011","layer":2},{"info":"≮⫘↔1010110011110↬≮⫘↔-111011=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":468,"expression_no_base_symbol":"(($5415$⪘⫢$3069$⩤)⇷(⨵≀≌$1070$∑⇟⊟$1609$))∀⇚≩(((⊙↵-$4164$)⪠⩆⊳)⨰($1543$⨪↰⇹$1836$)⪢($2800$⨳⩥⨓$3588$))","expression":"((≮⫘↔1010100100111⪘⫢≮⫘↔101111111101⩤)⇷(⨵≀≌≮⫘↔10000101110∑⇟⊟≮⫘↔11001001001))∀⇚≩(((⊙↵-≮⫘↔1000001000100)⪠⩆⊳)⨰(≮⫘↔11000000111⨪↰⇹≮⫘↔11100101100)⪢(≮⫘↔101011110000⨳⩥⨓≮⫘↔111000000100))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":159383,"operation_count":12,"complexity_ratio":13281.916666666666,"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":5415,"base":2},"right_expr":{"type":"numeric_atoms","value":3069,"base":2}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1070,"base":2},"right_expr":{"type":"numeric_atoms","value":1609,"base":2}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4164,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1543,"base":2},"right_expr":{"type":"numeric_atoms","value":1836,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2800,"base":2},"right_expr":{"type":"numeric_atoms","value":3588,"base":2}}}}},"used_operators":["LRNGc0VcxI","mp7IySMOzn","Z2TMIBDE3Q","oacrs7FA3X","srAu1WTS94","U7g4x0WXJJ","eewbuw0ToL","JLbD19bQDL","oWn0xqSxBt","dWAJyo7jo9","tmPS8pqC7x","nCS4ZIUYfx"],"dependent_operators":["X99M06cbEe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","k8jYdgA6NY","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5415","layer":4},{"info":"number node, value=3069","layer":4},{"info":"compute binary expreesion, left_input=5415, right_input=3069, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10706","layer":3},{"info":"compute unary expreesion, input=10706, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-10706","layer":2},{"info":"number node, value=1070","layer":4},{"info":"number node, value=1609","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=1609, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-10706, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=4164","layer":4},{"info":"compute unary expreesion, input=4164, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"number node, value=1543","layer":4},{"info":"number node, value=1836","layer":4},{"info":"compute binary expreesion, left_input=1543, right_input=1836, 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=1543","layer":3},{"info":"number node, value=2800","layer":4},{"info":"number node, value=3588","layer":4},{"info":"compute binary expreesion, left_input=2800, right_input=3588, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=788","layer":3},{"info":"compute binary expreesion, left_input=1543, right_input=788, 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=0, 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=nan, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010100100111⪘⫢≮⫘↔101111111101⩤)⇷(⨵≀≌≮⫘↔10000101110∑⇟⊟≮⫘↔11001001001))∀⇚≩(((⊙↵-≮⫘↔1000001000100)⪠⩆⊳)⨰(≮⫘↔11000000111⨪↰⇹≮⫘↔11100101100)⪢(≮⫘↔101011110000⨳⩥⨓≮⫘↔111000000100))=NaN","reverse_text":"NaN=((≮⫘↔1010100100111⪘⫢≮⫘↔101111111101⩤)⇷(⨵≀≌≮⫘↔10000101110∑⇟⊟≮⫘↔11001001001))∀⇚≩(((⊙↵-≮⫘↔1000001000100)⪠⩆⊳)⨰(≮⫘↔11000000111⨪↰⇹≮⫘↔11100101100)⪢(≮⫘↔101011110000⨳⩥⨓≮⫘↔111000000100))","cot":[{"info":"≮⫘↔1010100100111⪘⫢≮⫘↔101111111101=≮⫘↔10100111010010","layer":3},{"info":"≮⫘↔10100111010010⩤=≮⫘↔-10100111010010","layer":2},{"info":"≮⫘↔10000101110∑⇟⊟≮⫘↔11001001001=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"≮⫘↔-10100111010010⇷NaN=NaN","layer":1},{"info":"⊙↵-≮⫘↔1000001000100=≮⫘↔-1","layer":3},{"info":"≮⫘↔-1⪠⩆⊳=≮⫘↔0","layer":2},{"info":"≮⫘↔11000000111⨪↰⇹≮⫘↔11100101100=≮⫘↔11000000111","layer":3},{"info":"≮⫘↔101011110000⨳⩥⨓≮⫘↔111000000100=≮⫘↔1100010100","layer":3},{"info":"≮⫘↔11000000111⪢≮⫘↔1100010100=NaN","layer":2},{"info":"≮⫘↔0⨰NaN=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":469,"expression_no_base_symbol":"(↩($4166$≭$1473$⪨≂$4950$⨽$2047$))/(⊄⩳↩((↩$7142$)⪠⩆⊳))","expression":"(↩(≮⫘↔1000001000110≭≮⫘↔10111000001⪨≂≮⫘↔1001101010110⨽≮⫘↔11111111111))/(⊄⩳↩((↩≮⫘↔1101111100110)⪠⩆⊳))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5010,"operation_count":8,"complexity_ratio":626.25,"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":4166,"base":2},"right_expr":{"type":"numeric_atoms","value":1473,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4950,"base":2},"right_expr":{"type":"numeric_atoms","value":2047,"base":2}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":7142,"base":2}}}}},"used_operators":["XhwjNDsVaA","jLgFTUHLKL","sdazOOVcIp","rxpJgHHUmx","8HhzD0ZcuI","8w2t5hMYqp","JLbD19bQDL"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4166","layer":4},{"info":"number node, value=1473","layer":4},{"info":"compute binary expreesion, left_input=4166, right_input=1473, 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=4950","layer":4},{"info":"number node, value=2047","layer":4},{"info":"compute binary expreesion, left_input=4950, right_input=2047, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-73512327","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-73512327, 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":"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":"number node, value=7142","layer":4},{"info":"compute unary expreesion, input=7142, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-54356","layer":3},{"info":"compute unary expreesion, input=-54356, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', 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":2,"result_base":2,"text":"(↩(≮⫘↔1000001000110≭≮⫘↔10111000001⪨≂≮⫘↔1001101010110⨽≮⫘↔11111111111))/(⊄⩳↩((↩≮⫘↔1101111100110)⪠⩆⊳))=NaN","reverse_text":"NaN=(↩(≮⫘↔1000001000110≭≮⫘↔10111000001⪨≂≮⫘↔1001101010110⨽≮⫘↔11111111111))/(⊄⩳↩((↩≮⫘↔1101111100110)⪠⩆⊳))","cot":[{"info":"≮⫘↔1000001000110≭≮⫘↔10111000001=NaN","layer":3},{"info":"≮⫘↔1001101010110⨽≮⫘↔11111111111=≮⫘↔-100011000011011010110000111","layer":3},{"info":"NaN⪨≂≮⫘↔-100011000011011010110000111=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"↩≮⫘↔1101111100110=≮⫘↔-1101010001010100","layer":3},{"info":"≮⫘↔-1101010001010100⪠⩆⊳=≮⫘↔0","layer":2},{"info":"⊄⩳↩≮⫘↔0=≮⫘↔0","layer":1},{"info":"NaN/≮⫘↔0=NaN","layer":0}]}
{"id":470,"expression_no_base_symbol":"(($4447$⨰$1730$↺($1547$⪄$3126$))⫥∨⫟(($1594$⫩⊇)↙($6583$⨸⪁$1316$)))⋓(($2153$⊉≛↸$2036$)↬$1019$⇷$1271$⋓($5364$⨐⩸⫘$5810$+$1443$⪛$2408$))","expression":"((≮⫘↔1000101011111⨰≮⫘↔11011000010↺(≮⫘↔11000001011⪄≮⫘↔110000110110))⫥∨⫟((≮⫘↔11000111010⫩⊇)↙(≮⫘↔1100110110111⨸⪁≮⫘↔10100100100)))⋓((≮⫘↔100001101001⊉≛↸≮⫘↔11111110100)↬≮⫘↔1111111011⇷≮⫘↔10011110111⋓(≮⫘↔1010011110100⨐⩸⫘≮⫘↔1011010110010+≮⫘↔10110100011⪛≮⫘↔100101101000))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14570,"operation_count":15,"complexity_ratio":971.3333333333334,"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":4447,"base":2},"right_expr":{"type":"numeric_atoms","value":1730,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1547,"base":2},"right_expr":{"type":"numeric_atoms","value":3126,"base":2}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1594,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6583,"base":2},"right_expr":{"type":"numeric_atoms","value":1316,"base":2}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2153,"base":2},"right_expr":{"type":"numeric_atoms","value":2036,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1019,"base":2},"right_expr":{"type":"numeric_atoms","value":1271,"base":2}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5364,"base":2},"right_expr":{"type":"numeric_atoms","value":5810,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1443,"base":2},"right_expr":{"type":"numeric_atoms","value":2408,"base":2}}}}},"used_operators":["T2fj7uvVaJ","KYD54nUTWz","7j4O788W3g","eewbuw0ToL","SUmda5xLS4","yyfyN0ffXY","BjRHVeLaeN","g55IO6H4Gj","B5M0gjZbta","DZ8iAZOCBD","mp7IySMOzn","W4YGzv6Whe","fu6greOZ01","uFcxV4UQCh"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4447","layer":4},{"info":"number node, value=1730","layer":4},{"info":"compute binary expreesion, left_input=4447, right_input=1730, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2727","layer":3},{"info":"number node, value=1547","layer":4},{"info":"number node, value=3126","layer":4},{"info":"compute binary expreesion, left_input=1547, right_input=3126, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-237549","layer":3},{"info":"compute binary expreesion, left_input=2727, right_input=-237549, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-237549","layer":2},{"info":"number node, value=1594","layer":4},{"info":"compute unary expreesion, input=1594, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1552","layer":3},{"info":"number node, value=6583","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=6583, right_input=1316, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15798","layer":3},{"info":"compute binary expreesion, left_input=-1552, right_input=15798, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1552","layer":2},{"info":"compute binary expreesion, left_input=-237549, right_input=-1552, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=2153","layer":4},{"info":"number node, value=2036","layer":4},{"info":"compute binary expreesion, left_input=2153, right_input=2036, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4306","layer":3},{"info":"number node, value=1019","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=1271, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2542","layer":3},{"info":"compute binary expreesion, left_input=4306, right_input=2542, 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=5364","layer":4},{"info":"number node, value=5810","layer":4},{"info":"compute binary expreesion, left_input=5364, right_input=5810, 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=1443","layer":4},{"info":"number node, value=2408","layer":4},{"info":"compute binary expreesion, left_input=1443, right_input=2408, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1443","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1443, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"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":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":2,"result_base":2,"text":"((≮⫘↔1000101011111⨰≮⫘↔11011000010↺(≮⫘↔11000001011⪄≮⫘↔110000110110))⫥∨⫟((≮⫘↔11000111010⫩⊇)↙(≮⫘↔1100110110111⨸⪁≮⫘↔10100100100)))⋓((≮⫘↔100001101001⊉≛↸≮⫘↔11111110100)↬≮⫘↔1111111011⇷≮⫘↔10011110111⋓(≮⫘↔1010011110100⨐⩸⫘≮⫘↔1011010110010+≮⫘↔10110100011⪛≮⫘↔100101101000))=NaN","reverse_text":"NaN=((≮⫘↔1000101011111⨰≮⫘↔11011000010↺(≮⫘↔11000001011⪄≮⫘↔110000110110))⫥∨⫟((≮⫘↔11000111010⫩⊇)↙(≮⫘↔1100110110111⨸⪁≮⫘↔10100100100)))⋓((≮⫘↔100001101001⊉≛↸≮⫘↔11111110100)↬≮⫘↔1111111011⇷≮⫘↔10011110111⋓(≮⫘↔1010011110100⨐⩸⫘≮⫘↔1011010110010+≮⫘↔10110100011⪛≮⫘↔100101101000))","cot":[{"info":"≮⫘↔1000101011111⨰≮⫘↔11011000010=≮⫘↔101010100111","layer":3},{"info":"≮⫘↔11000001011⪄≮⫘↔110000110110=≮⫘↔-111001111111101101","layer":3},{"info":"≮⫘↔101010100111↺≮⫘↔-111001111111101101=≮⫘↔-111001111111101101","layer":2},{"info":"≮⫘↔11000111010⫩⊇=≮⫘↔-11000010000","layer":3},{"info":"≮⫘↔1100110110111⨸⪁≮⫘↔10100100100=≮⫘↔11110110110110","layer":3},{"info":"≮⫘↔-11000010000↙≮⫘↔11110110110110=≮⫘↔-11000010000","layer":2},{"info":"≮⫘↔-111001111111101101⫥∨⫟≮⫘↔-11000010000=NaN","layer":1},{"info":"≮⫘↔100001101001⊉≛↸≮⫘↔11111110100=≮⫘↔1000011010010","layer":3},{"info":"≮⫘↔1111111011⇷≮⫘↔10011110111=≮⫘↔100111101110","layer":3},{"info":"≮⫘↔1000011010010↬≮⫘↔100111101110=NaN","layer":2},{"info":"≮⫘↔1010011110100⨐⩸⫘≮⫘↔1011010110010=NaN","layer":3},{"info":"≮⫘↔10110100011⪛≮⫘↔100101101000=≮⫘↔10110100011","layer":3},{"info":"NaN+≮⫘↔10110100011=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":471,"expression_no_base_symbol":"((⪲⇎$4085$)≎⊠⪸($3027$⋳⪒$1648$)⫩⊇)⨪↰⇹(≦∁($1011$⋷$5472$)∼($2543$⊉≛↸$1477$))","expression":"((⪲⇎≮⫘↔111111110101)≎⊠⪸(≮⫘↔101111010011⋳⪒≮⫘↔11001110000)⫩⊇)⨪↰⇹(≦∁(≮⫘↔1111110011⋷≮⫘↔1010101100000)∼(≮⫘↔100111101111⊉≛↸≮⫘↔10111000101))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":484,"operation_count":9,"complexity_ratio":53.77777777777778,"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":4085,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3027,"base":2},"right_expr":{"type":"numeric_atoms","value":1648,"base":2}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1011,"base":2},"right_expr":{"type":"numeric_atoms","value":5472,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2543,"base":2},"right_expr":{"type":"numeric_atoms","value":1477,"base":2}}}}},"used_operators":["tmPS8pqC7x","BjRHVeLaeN","bJkvcejdHO","XPYlsWDdGa","12rbrZMWeM","9ICcGScMcE","DyGG3AbaNP","23Mk6UjR3U","DZ8iAZOCBD"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4085","layer":4},{"info":"compute unary expreesion, input=4085, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8170","layer":3},{"info":"number node, value=3027","layer":4},{"info":"number node, value=1648","layer":4},{"info":"compute binary expreesion, left_input=3027, right_input=1648, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4119","layer":3},{"info":"compute binary expreesion, left_input=8170, right_input=4119, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2115557","layer":2},{"info":"compute unary expreesion, input=2115557, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2115515","layer":1},{"info":"number node, value=1011","layer":4},{"info":"number node, value=5472","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=5472, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9933","layer":3},{"info":"number node, value=2543","layer":4},{"info":"number node, value=1477","layer":4},{"info":"compute binary expreesion, left_input=2543, right_input=1477, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5086","layer":3},{"info":"compute binary expreesion, left_input=9933, right_input=5086, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2115515, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⪲⇎≮⫘↔111111110101)≎⊠⪸(≮⫘↔101111010011⋳⪒≮⫘↔11001110000)⫩⊇)⨪↰⇹(≦∁(≮⫘↔1111110011⋷≮⫘↔1010101100000)∼(≮⫘↔100111101111⊉≛↸≮⫘↔10111000101))=NaN","reverse_text":"NaN=((⪲⇎≮⫘↔111111110101)≎⊠⪸(≮⫘↔101111010011⋳⪒≮⫘↔11001110000)⫩⊇)⨪↰⇹(≦∁(≮⫘↔1111110011⋷≮⫘↔1010101100000)∼(≮⫘↔100111101111⊉≛↸≮⫘↔10111000101))","cot":[{"info":"⪲⇎≮⫘↔111111110101=≮⫘↔1111111101010","layer":3},{"info":"≮⫘↔101111010011⋳⪒≮⫘↔11001110000=≮⫘↔1000000010111","layer":3},{"info":"≮⫘↔1111111101010≎⊠⪸≮⫘↔1000000010111=≮⫘↔1000000100011111100101","layer":2},{"info":"≮⫘↔1000000100011111100101⫩⊇=≮⫘↔-1000000100011110111011","layer":1},{"info":"≮⫘↔1111110011⋷≮⫘↔1010101100000=≮⫘↔10011011001101","layer":3},{"info":"≮⫘↔100111101111⊉≛↸≮⫘↔10111000101=≮⫘↔1001111011110","layer":3},{"info":"≮⫘↔10011011001101∼≮⫘↔1001111011110=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"≮⫘↔-1000000100011110111011⨪↰⇹NaN=NaN","layer":0}]}
{"id":472,"expression_no_base_symbol":"($1743$⪘⫢$4758$≧⫂∧($1983$⫩⊇)⫸⊐($2206$∀⇚≩$2849$)∼(⫓⪴$3502$))≭(($6045$⪒$2876$)*($1866$⫡⨏$7925$))⇷($2990$*$3241$)⇷($3289$⨳⩥⨓$1177$)","expression":"(≮⫘↔11011001111⪘⫢≮⫘↔1001010010110≧⫂∧(≮⫘↔11110111111⫩⊇)⫸⊐(≮⫘↔100010011110∀⇚≩≮⫘↔101100100001)∼(⫓⪴≮⫘↔110110101110))≭((≮⫘↔1011110011101⪒≮⫘↔101100111100)*(≮⫘↔11101001010⫡⨏≮⫘↔1111011110101))⇷(≮⫘↔101110101110*≮⫘↔110010101001)⇷(≮⫘↔110011011001⨳⩥⨓≮⫘↔10010011001)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":30929,"operation_count":15,"complexity_ratio":2061.9333333333334,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1743,"base":2},"right_expr":{"type":"numeric_atoms","value":4758,"base":2}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1983,"base":2}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2206,"base":2},"right_expr":{"type":"numeric_atoms","value":2849,"base":2}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3502,"base":2}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6045,"base":2},"right_expr":{"type":"numeric_atoms","value":2876,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1866,"base":2},"right_expr":{"type":"numeric_atoms","value":7925,"base":2}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2990,"base":2},"right_expr":{"type":"numeric_atoms","value":3241,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3289,"base":2},"right_expr":{"type":"numeric_atoms","value":1177,"base":2}}}}},"used_operators":["rxpJgHHUmx","mqXw5SEYmG","Ph9nP6C5qx","oacrs7FA3X","BjRHVeLaeN","DyGG3AbaNP","LRNGc0VcxI","eLxqMNBOBk","mp7IySMOzn","9HNa5Wba9A","f6k1SAg4EE","QMFrweE19q","nCS4ZIUYfx"],"dependent_operators":["AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","X99M06cbEe","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1743","layer":4},{"info":"number node, value=4758","layer":4},{"info":"compute binary expreesion, left_input=1743, right_input=4758, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3362","layer":3},{"info":"number node, value=1983","layer":4},{"info":"compute unary expreesion, input=1983, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1941","layer":3},{"info":"compute binary expreesion, left_input=3362, right_input=-1941, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5303","layer":2},{"info":"number node, value=2206","layer":4},{"info":"number node, value=2849","layer":4},{"info":"compute binary expreesion, left_input=2206, right_input=2849, 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=3502","layer":4},{"info":"compute unary expreesion, input=3502, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=12264004","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12264004, 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=5303, 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=6045","layer":4},{"info":"number node, value=2876","layer":4},{"info":"compute binary expreesion, left_input=6045, right_input=2876, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8921","layer":3},{"info":"number node, value=1866","layer":4},{"info":"number node, value=7925","layer":4},{"info":"compute binary expreesion, left_input=1866, right_input=7925, 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=25963","layer":3},{"info":"compute binary expreesion, left_input=-8921, right_input=25963, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-231615923","layer":2},{"info":"number node, value=2990","layer":4},{"info":"number node, value=3241","layer":4},{"info":"compute binary expreesion, left_input=2990, right_input=3241, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9690590","layer":3},{"info":"number node, value=3289","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=3289, right_input=1177, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2112","layer":3},{"info":"compute binary expreesion, left_input=9690590, right_input=-2112, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-231615923, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11011001111⪘⫢≮⫘↔1001010010110≧⫂∧(≮⫘↔11110111111⫩⊇)⫸⊐(≮⫘↔100010011110∀⇚≩≮⫘↔101100100001)∼(⫓⪴≮⫘↔110110101110))≭((≮⫘↔1011110011101⪒≮⫘↔101100111100)*(≮⫘↔11101001010⫡⨏≮⫘↔1111011110101))⇷(≮⫘↔101110101110*≮⫘↔110010101001)⇷(≮⫘↔110011011001⨳⩥⨓≮⫘↔10010011001)=NaN","reverse_text":"NaN=(≮⫘↔11011001111⪘⫢≮⫘↔1001010010110≧⫂∧(≮⫘↔11110111111⫩⊇)⫸⊐(≮⫘↔100010011110∀⇚≩≮⫘↔101100100001)∼(⫓⪴≮⫘↔110110101110))≭((≮⫘↔1011110011101⪒≮⫘↔101100111100)*(≮⫘↔11101001010⫡⨏≮⫘↔1111011110101))⇷(≮⫘↔101110101110*≮⫘↔110010101001)⇷(≮⫘↔110011011001⨳⩥⨓≮⫘↔10010011001)","cot":[{"info":"≮⫘↔11011001111⪘⫢≮⫘↔1001010010110=≮⫘↔110100100010","layer":3},{"info":"≮⫘↔11110111111⫩⊇=≮⫘↔-11110010101","layer":3},{"info":"≮⫘↔110100100010≧⫂∧≮⫘↔-11110010101=≮⫘↔1010010110111","layer":2},{"info":"≮⫘↔100010011110∀⇚≩≮⫘↔101100100001=NaN","layer":3},{"info":"⫓⪴≮⫘↔110110101110=≮⫘↔101110110010001001000100","layer":3},{"info":"NaN∼≮⫘↔101110110010001001000100=NaN","layer":2},{"info":"≮⫘↔1010010110111⫸⊐NaN=NaN","layer":1},{"info":"≮⫘↔1011110011101⪒≮⫘↔101100111100=≮⫘↔-10001011011001","layer":3},{"info":"≮⫘↔11101001010⫡⨏≮⫘↔1111011110101=≮⫘↔110010101101011","layer":3},{"info":"≮⫘↔-10001011011001*≮⫘↔110010101101011=≮⫘↔-1101110011100010110110110011","layer":2},{"info":"≮⫘↔101110101110*≮⫘↔110010101001=≮⫘↔100100111101110111011110","layer":3},{"info":"≮⫘↔110011011001⨳⩥⨓≮⫘↔10010011001=≮⫘↔-100001000000","layer":3},{"info":"≮⫘↔100100111101110111011110⇷≮⫘↔-100001000000=NaN","layer":2},{"info":"≮⫘↔-1101110011100010110110110011⇷NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":473,"expression_no_base_symbol":"(⨑⩽⪐($1309$⫸⊐$6690$)⨟⋌⩍($2704$∀⇚≩$2652$))≭((↔($3633$↬$1814$))⩤)","expression":"(⨑⩽⪐(≮⫘↔10100011101⫸⊐≮⫘↔1101000100010)⨟⋌⩍(≮⫘↔101010010000∀⇚≩≮⫘↔101001011100))≭((↔(≮⫘↔111000110001↬≮⫘↔11100010110))⩤)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":18985,"operation_count":8,"complexity_ratio":2373.125,"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":1309,"base":2},"right_expr":{"type":"numeric_atoms","value":6690,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2704,"base":2},"right_expr":{"type":"numeric_atoms","value":2652,"base":2}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3633,"base":2},"right_expr":{"type":"numeric_atoms","value":1814,"base":2}}}}},"used_operators":["rxpJgHHUmx","AF7qkfDlqP","rGHVDoGpnC","mqXw5SEYmG","LRNGc0VcxI","Z2TMIBDE3Q","ruOEQAzv1W","B5M0gjZbta"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Tcnh7f0tEr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1309","layer":4},{"info":"number node, value=6690","layer":4},{"info":"compute binary expreesion, left_input=1309, right_input=6690, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=26635","layer":3},{"info":"number node, value=2704","layer":4},{"info":"number node, value=2652","layer":4},{"info":"compute binary expreesion, left_input=2704, right_input=2652, 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=26635, 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 unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":1},{"info":"number node, value=3633","layer":4},{"info":"number node, value=1814","layer":4},{"info":"compute binary expreesion, left_input=3633, right_input=1814, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=134, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨑⩽⪐(≮⫘↔10100011101⫸⊐≮⫘↔1101000100010)⨟⋌⩍(≮⫘↔101010010000∀⇚≩≮⫘↔101001011100))≭((↔(≮⫘↔111000110001↬≮⫘↔11100010110))⩤)=NaN","reverse_text":"NaN=(⨑⩽⪐(≮⫘↔10100011101⫸⊐≮⫘↔1101000100010)⨟⋌⩍(≮⫘↔101010010000∀⇚≩≮⫘↔101001011100))≭((↔(≮⫘↔111000110001↬≮⫘↔11100010110))⩤)","cot":[{"info":"≮⫘↔10100011101⫸⊐≮⫘↔1101000100010=≮⫘↔110100000001011","layer":3},{"info":"≮⫘↔101010010000∀⇚≩≮⫘↔101001011100=NaN","layer":3},{"info":"≮⫘↔110100000001011⨟⋌⩍NaN=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"≮⫘↔111000110001↬≮⫘↔11100010110=NaN","layer":3},{"info":"↔NaN=≮⫘↔-10000110","layer":2},{"info":"≮⫘↔-10000110⩤=≮⫘↔10000110","layer":1},{"info":"NaN≭≮⫘↔10000110=NaN","layer":0}]}
{"id":474,"expression_no_base_symbol":"(↽≂(⋗⩬⋾$4425$⩷∴$4321$))∑⇟⊟(($1258$⪨≂$1189$)↙($5649$↙$2240$)⨳⩥⨓(⫓⪴($4193$≧⫂∧$4390$)))","expression":"(↽≂(⋗⩬⋾≮⫘↔1000101001001⩷∴≮⫘↔1000011100001))∑⇟⊟((≮⫘↔10011101010⪨≂≮⫘↔10010100101)↙(≮⫘↔1011000010001↙≮⫘↔100011000000)⨳⩥⨓(⫓⪴(≮⫘↔1000001100001≧⫂∧≮⫘↔1000100100110)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12905,"operation_count":10,"complexity_ratio":1290.5,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4425,"base":2},"right_expr":{"type":"numeric_atoms","value":4321,"base":2}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1258,"base":2},"right_expr":{"type":"numeric_atoms","value":1189,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5649,"base":2},"right_expr":{"type":"numeric_atoms","value":2240,"base":2}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4193,"base":2},"right_expr":{"type":"numeric_atoms","value":4390,"base":2}}}}},"used_operators":["U7g4x0WXJJ","u6S6b8DprG","DpFCA1CohY","9FxExcQeMw","nCS4ZIUYfx","yyfyN0ffXY","sdazOOVcIp","eLxqMNBOBk","Ph9nP6C5qx"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4425","layer":4},{"info":"number node, value=4321","layer":4},{"info":"compute binary expreesion, left_input=4425, right_input=4321, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=176","layer":3},{"info":"compute unary expreesion, input=176, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-528","layer":2},{"info":"compute unary expreesion, input=-528, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=1056","layer":1},{"info":"number node, value=1258","layer":4},{"info":"number node, value=1189","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=1189, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=240","layer":3},{"info":"number node, value=5649","layer":4},{"info":"number node, value=2240","layer":4},{"info":"compute binary expreesion, left_input=5649, right_input=2240, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6720","layer":3},{"info":"compute binary expreesion, left_input=240, right_input=-6720, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=20160","layer":2},{"info":"number node, value=4193","layer":4},{"info":"number node, value=4390","layer":4},{"info":"compute binary expreesion, left_input=4193, right_input=4390, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3917","layer":3},{"info":"compute unary expreesion, input=3917, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=15342889","layer":2},{"info":"compute binary expreesion, left_input=20160, right_input=15342889, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=15322729","layer":1},{"info":"compute binary expreesion, left_input=1056, right_input=15322729, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↽≂(⋗⩬⋾≮⫘↔1000101001001⩷∴≮⫘↔1000011100001))∑⇟⊟((≮⫘↔10011101010⪨≂≮⫘↔10010100101)↙(≮⫘↔1011000010001↙≮⫘↔100011000000)⨳⩥⨓(⫓⪴(≮⫘↔1000001100001≧⫂∧≮⫘↔1000100100110)))=NaN","reverse_text":"NaN=(↽≂(⋗⩬⋾≮⫘↔1000101001001⩷∴≮⫘↔1000011100001))∑⇟⊟((≮⫘↔10011101010⪨≂≮⫘↔10010100101)↙(≮⫘↔1011000010001↙≮⫘↔100011000000)⨳⩥⨓(⫓⪴(≮⫘↔1000001100001≧⫂∧≮⫘↔1000100100110)))","cot":[{"info":"≮⫘↔1000101001001⩷∴≮⫘↔1000011100001=≮⫘↔10110000","layer":3},{"info":"⋗⩬⋾≮⫘↔10110000=≮⫘↔-1000010000","layer":2},{"info":"↽≂≮⫘↔-1000010000=≮⫘↔10000100000","layer":1},{"info":"≮⫘↔10011101010⪨≂≮⫘↔10010100101=≮⫘↔11110000","layer":3},{"info":"≮⫘↔1011000010001↙≮⫘↔100011000000=≮⫘↔-1101001000000","layer":3},{"info":"≮⫘↔11110000↙≮⫘↔-1101001000000=≮⫘↔100111011000000","layer":2},{"info":"≮⫘↔1000001100001≧⫂∧≮⫘↔1000100100110=≮⫘↔111101001101","layer":3},{"info":"⫓⪴≮⫘↔111101001101=≮⫘↔111010100001110100101001","layer":2},{"info":"≮⫘↔100111011000000⨳⩥⨓≮⫘↔111010100001110100101001=≮⫘↔111010011100111001101001","layer":1},{"info":"≮⫘↔10000100000∑⇟⊟≮⫘↔111010011100111001101001=NaN","layer":0}]}
{"id":475,"expression_no_base_symbol":"(↽≂$2095$)⨪↰⇹(-$3277$)↙(⫓⪴($1015$⫸⊐$6074$))/(⨞⊢$2246$↬$5580$)+⇶⊼(($1828$⫩⊇)⋥≓≎(⇁⨣⪵$3046$))","expression":"(↽≂≮⫘↔100000101111)⨪↰⇹(-≮⫘↔110011001101)↙(⫓⪴(≮⫘↔1111110111⫸⊐≮⫘↔1011110111010))/(⨞⊢≮⫘↔100011000110↬≮⫘↔1010111001100)+⇶⊼((≮⫘↔11100100100⫩⊇)⋥≓≎(⇁⨣⪵≮⫘↔101111100110))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":32954,"operation_count":13,"complexity_ratio":2534.923076923077,"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":2095,"base":2}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3277,"base":2}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1015,"base":2},"right_expr":{"type":"numeric_atoms","value":6074,"base":2}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2246,"base":2},"right_expr":{"type":"numeric_atoms","value":5580,"base":2}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1828,"base":2}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3046,"base":2}}}}},"used_operators":["XhwjNDsVaA","yyfyN0ffXY","tmPS8pqC7x","u6S6b8DprG","t8gj7n24qd","eLxqMNBOBk","mqXw5SEYmG","TpPTUOHfaN","xUOZtlo3hN","B5M0gjZbta","Qy55tPpLXF","BjRHVeLaeN","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2095","layer":4},{"info":"compute unary expreesion, input=2095, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4190","layer":3},{"info":"number node, value=3277","layer":4},{"info":"compute unary expreesion, input=3277, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3277","layer":3},{"info":"compute binary expreesion, left_input=-4190, right_input=-3277, 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=-4190","layer":2},{"info":"number node, value=1015","layer":4},{"info":"number node, value=6074","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=6074, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=24171","layer":3},{"info":"compute unary expreesion, input=24171, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=584237241","layer":2},{"info":"compute binary expreesion, left_input=-4190, right_input=584237241, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4190","layer":1},{"info":"number node, value=2246","layer":4},{"info":"number node, value=5580","layer":4},{"info":"compute binary expreesion, left_input=2246, right_input=5580, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"number node, value=1828","layer":4},{"info":"compute unary expreesion, input=1828, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1786","layer":3},{"info":"number node, value=3046","layer":4},{"info":"compute unary expreesion, input=3046, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1786, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4190, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↽≂≮⫘↔100000101111)⨪↰⇹(-≮⫘↔110011001101)↙(⫓⪴(≮⫘↔1111110111⫸⊐≮⫘↔1011110111010))/(⨞⊢≮⫘↔100011000110↬≮⫘↔1010111001100)+⇶⊼((≮⫘↔11100100100⫩⊇)⋥≓≎(⇁⨣⪵≮⫘↔101111100110))=NaN","reverse_text":"NaN=(↽≂≮⫘↔100000101111)⨪↰⇹(-≮⫘↔110011001101)↙(⫓⪴(≮⫘↔1111110111⫸⊐≮⫘↔1011110111010))/(⨞⊢≮⫘↔100011000110↬≮⫘↔1010111001100)+⇶⊼((≮⫘↔11100100100⫩⊇)⋥≓≎(⇁⨣⪵≮⫘↔101111100110))","cot":[{"info":"↽≂≮⫘↔100000101111=≮⫘↔-1000001011110","layer":3},{"info":"-≮⫘↔110011001101=≮⫘↔-110011001101","layer":3},{"info":"≮⫘↔-1000001011110⨪↰⇹≮⫘↔-110011001101=≮⫘↔-1000001011110","layer":2},{"info":"≮⫘↔1111110111⫸⊐≮⫘↔1011110111010=≮⫘↔101111001101011","layer":3},{"info":"⫓⪴≮⫘↔101111001101011=≮⫘↔100010110100101100000010111001","layer":2},{"info":"≮⫘↔-1000001011110↙≮⫘↔100010110100101100000010111001=≮⫘↔-1000001011110","layer":1},{"info":"≮⫘↔100011000110↬≮⫘↔1010111001100=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"≮⫘↔11100100100⫩⊇=≮⫘↔-11011111010","layer":3},{"info":"⇁⨣⪵≮⫘↔101111100110=NaN","layer":3},{"info":"≮⫘↔-11011111010⋥≓≎NaN=≮⫘↔1000011","layer":2},{"info":"NaN+⇶⊼≮⫘↔1000011=NaN","layer":1},{"info":"≮⫘↔-1000001011110/NaN=NaN","layer":0}]}
{"id":476,"expression_no_base_symbol":"(+⊝⨔((↥$2965$)↺$6377$≭$2995$))⨵⪆(($2972$⋓$4256$)⊴($1366$⇷$8722$)⇋≉)","expression":"(+⊝⨔((↥≮⫘↔101110010101)↺≮⫘↔1100011101001≭≮⫘↔101110110011))⨵⪆((≮⫘↔101110011100⋓≮⫘↔1000010100000)⊴(≮⫘↔10101010110⇷≮⫘↔10001000010010)⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":36678,"operation_count":9,"complexity_ratio":4075.3333333333335,"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":2965,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6377,"base":2},"right_expr":{"type":"numeric_atoms","value":2995,"base":2}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2972,"base":2},"right_expr":{"type":"numeric_atoms","value":4256,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1366,"base":2},"right_expr":{"type":"numeric_atoms","value":8722,"base":2}}}}},"used_operators":["2DQ55sFlQl","DhbWaqg5eL","7j4O788W3g","A8NUZmVepG","rxpJgHHUmx","XIabStNQrY","Nsiff2A1zJ","T2fj7uvVaJ","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2965","layer":4},{"info":"compute unary expreesion, input=2965, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=7","layer":3},{"info":"number node, value=6377","layer":4},{"info":"number node, value=2995","layer":4},{"info":"compute binary expreesion, left_input=6377, right_input=2995, 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=7, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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=2972","layer":4},{"info":"number node, value=4256","layer":4},{"info":"compute binary expreesion, left_input=2972, right_input=4256, 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=1366","layer":4},{"info":"number node, value=8722","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=8722, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=17444","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=17444, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(+⊝⨔((↥≮⫘↔101110010101)↺≮⫘↔1100011101001≭≮⫘↔101110110011))⨵⪆((≮⫘↔101110011100⋓≮⫘↔1000010100000)⊴(≮⫘↔10101010110⇷≮⫘↔10001000010010)⇋≉)=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(+⊝⨔((↥≮⫘↔101110010101)↺≮⫘↔1100011101001≭≮⫘↔101110110011))⨵⪆((≮⫘↔101110011100⋓≮⫘↔1000010100000)⊴(≮⫘↔10101010110⇷≮⫘↔10001000010010)⇋≉)","cot":[{"info":"↥≮⫘↔101110010101=≮⫘↔111","layer":3},{"info":"≮⫘↔1100011101001≭≮⫘↔101110110011=NaN","layer":3},{"info":"≮⫘↔111↺NaN=NaN","layer":2},{"info":"+⊝⨔NaN=≮⫘↔10111110010","layer":1},{"info":"≮⫘↔101110011100⋓≮⫘↔1000010100000=≮⫘↔0","layer":3},{"info":"≮⫘↔10101010110⇷≮⫘↔10001000010010=≮⫘↔100010000100100","layer":3},{"info":"≮⫘↔0⊴≮⫘↔100010000100100=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"≮⫘↔10111110010⨵⪆NaN=≮⫘↔10100000","layer":0}]}
{"id":477,"expression_no_base_symbol":"($1049$≧⫂∧$8547$⩷∴($2130$⨎$1431$)⨳⩥⨓($5580$⪢$2742$/($7376$≋⫹)))⨐⩸⫘(↣≠⋷($2266$⩷∴$2636$%$2228$⩨$1014$))","expression":"(≮⫘↔10000011001≧⫂∧≮⫘↔10000101100011⩷∴(≮⫘↔100001010010⨎≮⫘↔10110010111)⨳⩥⨓(≮⫘↔1010111001100⪢≮⫘↔101010110110/(≮⫘↔1110011010000≋⫹)))⨐⩸⫘(↣≠⋷(≮⫘↔100011011010⩷∴≮⫘↔101001001100%≮⫘↔100010110100⩨≮⫘↔1111110110))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3294,"operation_count":12,"complexity_ratio":274.5,"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":1049,"base":2},"right_expr":{"type":"numeric_atoms","value":8547,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2130,"base":2},"right_expr":{"type":"numeric_atoms","value":1431,"base":2}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5580,"base":2},"right_expr":{"type":"numeric_atoms","value":2742,"base":2}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":7376,"base":2}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2266,"base":2},"right_expr":{"type":"numeric_atoms","value":2636,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2228,"base":2},"right_expr":{"type":"numeric_atoms","value":1014,"base":2}}}}},"used_operators":["fu6greOZ01","nCS4ZIUYfx","9FxExcQeMw","Ph9nP6C5qx","rJVOvQCfKK","XhwjNDsVaA","dWAJyo7jo9","N41Kp7NANJ","Asc51vEJeQ","k8jYdgA6NY","2DlMacCsIx"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1049","layer":4},{"info":"number node, value=8547","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=8547, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8074","layer":3},{"info":"number node, value=2130","layer":4},{"info":"number node, value=1431","layer":4},{"info":"compute binary expreesion, left_input=2130, right_input=1431, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1431","layer":3},{"info":"compute binary expreesion, left_input=8074, right_input=1431, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=13254","layer":2},{"info":"number node, value=5580","layer":4},{"info":"number node, value=2742","layer":4},{"info":"compute binary expreesion, left_input=5580, right_input=2742, 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=7376","layer":4},{"info":"compute unary expreesion, input=7376, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-14752","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-14752, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13254, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=2266","layer":4},{"info":"number node, value=2636","layer":4},{"info":"compute binary expreesion, left_input=2266, right_input=2636, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-772","layer":3},{"info":"number node, value=2228","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=2228, right_input=1014, 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=-772, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', 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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10000011001≧⫂∧≮⫘↔10000101100011⩷∴(≮⫘↔100001010010⨎≮⫘↔10110010111)⨳⩥⨓(≮⫘↔1010111001100⪢≮⫘↔101010110110/(≮⫘↔1110011010000≋⫹)))⨐⩸⫘(↣≠⋷(≮⫘↔100011011010⩷∴≮⫘↔101001001100%≮⫘↔100010110100⩨≮⫘↔1111110110))=NaN","reverse_text":"NaN=(≮⫘↔10000011001≧⫂∧≮⫘↔10000101100011⩷∴(≮⫘↔100001010010⨎≮⫘↔10110010111)⨳⩥⨓(≮⫘↔1010111001100⪢≮⫘↔101010110110/(≮⫘↔1110011010000≋⫹)))⨐⩸⫘(↣≠⋷(≮⫘↔100011011010⩷∴≮⫘↔101001001100%≮⫘↔100010110100⩨≮⫘↔1111110110))","cot":[{"info":"≮⫘↔10000011001≧⫂∧≮⫘↔10000101100011=≮⫘↔1111110001010","layer":3},{"info":"≮⫘↔100001010010⨎≮⫘↔10110010111=≮⫘↔10110010111","layer":3},{"info":"≮⫘↔1111110001010⩷∴≮⫘↔10110010111=≮⫘↔11001111000110","layer":2},{"info":"≮⫘↔1010111001100⪢≮⫘↔101010110110=NaN","layer":3},{"info":"≮⫘↔1110011010000≋⫹=≮⫘↔-11100110100000","layer":3},{"info":"NaN/≮⫘↔-11100110100000=NaN","layer":2},{"info":"≮⫘↔11001111000110⨳⩥⨓NaN=NaN","layer":1},{"info":"≮⫘↔100011011010⩷∴≮⫘↔101001001100=≮⫘↔-1100000100","layer":3},{"info":"≮⫘↔100010110100⩨≮⫘↔1111110110=≮⫘↔0","layer":3},{"info":"≮⫘↔-1100000100%≮⫘↔0=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":478,"expression_no_base_symbol":"((⋗⩬⋾$1142$⪘⫢$7551$)⨽($1161$⨐⩸⫘$2244$⫸⊐$3840$⨽$2395$))≦≮≮","expression":"((⋗⩬⋾≮⫘↔10001110110⪘⫢≮⫘↔1110101111111)⨽(≮⫘↔10010001001⨐⩸⫘≮⫘↔100011000100⫸⊐≮⫘↔111100000000⨽≮⫘↔100101011011))≦≮≮","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":10364,"operation_count":7,"complexity_ratio":1480.5714285714287,"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":1142,"base":2},"right_expr":{"type":"numeric_atoms","value":7551,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1161,"base":2},"right_expr":{"type":"numeric_atoms","value":2244,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3840,"base":2},"right_expr":{"type":"numeric_atoms","value":2395,"base":2}}}}},"used_operators":["D4vGDi5EA2","8HhzD0ZcuI","DpFCA1CohY","oacrs7FA3X","mqXw5SEYmG","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1142","layer":4},{"info":"number node, value=7551","layer":4},{"info":"compute binary expreesion, left_input=1142, right_input=7551, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2160","layer":3},{"info":"compute unary expreesion, input=2160, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6480","layer":2},{"info":"number node, value=1161","layer":4},{"info":"number node, value=2244","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=2244, 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=3840","layer":4},{"info":"number node, value=2395","layer":4},{"info":"compute binary expreesion, left_input=3840, right_input=2395, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-44242671","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-44242671, 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=-6480, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⋗⩬⋾≮⫘↔10001110110⪘⫢≮⫘↔1110101111111)⨽(≮⫘↔10010001001⨐⩸⫘≮⫘↔100011000100⫸⊐≮⫘↔111100000000⨽≮⫘↔100101011011))≦≮≮=NaN","reverse_text":"NaN=((⋗⩬⋾≮⫘↔10001110110⪘⫢≮⫘↔1110101111111)⨽(≮⫘↔10010001001⨐⩸⫘≮⫘↔100011000100⫸⊐≮⫘↔111100000000⨽≮⫘↔100101011011))≦≮≮","cot":[{"info":"≮⫘↔10001110110⪘⫢≮⫘↔1110101111111=≮⫘↔100001110000","layer":3},{"info":"⋗⩬⋾≮⫘↔100001110000=≮⫘↔-1100101010000","layer":2},{"info":"≮⫘↔10010001001⨐⩸⫘≮⫘↔100011000100=NaN","layer":3},{"info":"≮⫘↔111100000000⨽≮⫘↔100101011011=≮⫘↔-10101000110001011011101111","layer":3},{"info":"NaN⫸⊐≮⫘↔-10101000110001011011101111=NaN","layer":2},{"info":"≮⫘↔-1100101010000⨽NaN=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":479,"expression_no_base_symbol":"⨰⫟⨤(⊥(($3697$∲⫓$1525$)⨽$3280$≭$6113$))","expression":"⨰⫟⨤(⊥((≮⫘↔111001110001∲⫓≮⫘↔10111110101)⨽≮⫘↔110011010000≭≮⫘↔1011111100001))","highest_n_order":5,"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":3697,"base":2},"right_expr":{"type":"numeric_atoms","value":1525,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3280,"base":2},"right_expr":{"type":"numeric_atoms","value":6113,"base":2}}}}},"used_operators":["Tw270M8GLb","Q3PJZHRvZv","8HhzD0ZcuI","i8ToyICDmI","rxpJgHHUmx"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","fu6greOZ01","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=3697","layer":4},{"info":"number node, value=1525","layer":4},{"info":"compute binary expreesion, left_input=3697, right_input=1525, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3280","layer":4},{"info":"number node, value=6113","layer":4},{"info":"compute binary expreesion, left_input=3280, right_input=6113, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⨰⫟⨤(⊥((≮⫘↔111001110001∲⫓≮⫘↔10111110101)⨽≮⫘↔110011010000≭≮⫘↔1011111100001))=NaN","reverse_text":"NaN=⨰⫟⨤(⊥((≮⫘↔111001110001∲⫓≮⫘↔10111110101)⨽≮⫘↔110011010000≭≮⫘↔1011111100001))","cot":[{"info":"≮⫘↔111001110001∲⫓≮⫘↔10111110101=≮⫘↔0","layer":3},{"info":"≮⫘↔110011010000≭≮⫘↔1011111100001=NaN","layer":3},{"info":"≮⫘↔0⨽NaN=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":480,"expression_no_base_symbol":"(($5836$%$4841$)⊭↱($1099$⊉≛↸$5631$))≭(↯⪼($2156$⪄$4830$))∲⫓(($3022$⇼⇔∾$1207$)⨽$2116$∼$8912$)⋓(-(⇁⨣⪵$7134$))","expression":"((≮⫘↔1011011001100%≮⫘↔1001011101001)⊭↱(≮⫘↔10001001011⊉≛↸≮⫘↔1010111111111))≭(↯⪼(≮⫘↔100001101100⪄≮⫘↔1001011011110))∲⫓((≮⫘↔101111001110⇼⇔∾≮⫘↔10010110111)⨽≮⫘↔100001000100∼≮⫘↔10001011010000)⋓(-(⇁⨣⪵≮⫘↔1101111011110))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2004,"operation_count":13,"complexity_ratio":154.15384615384616,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5836,"base":2},"right_expr":{"type":"numeric_atoms","value":4841,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1099,"base":2},"right_expr":{"type":"numeric_atoms","value":5631,"base":2}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2156,"base":2},"right_expr":{"type":"numeric_atoms","value":4830,"base":2}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3022,"base":2},"right_expr":{"type":"numeric_atoms","value":1207,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2116,"base":2},"right_expr":{"type":"numeric_atoms","value":8912,"base":2}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":7134,"base":2}}}}},"used_operators":["i8ToyICDmI","rxpJgHHUmx","COABgblf1C","k8jYdgA6NY","DZ8iAZOCBD","8jW3W4yZS5","SUmda5xLS4","T2fj7uvVaJ","8HhzD0ZcuI","tifHPKVTfV","DyGG3AbaNP","t8gj7n24qd","inkyxCbjAn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5836","layer":4},{"info":"number node, value=4841","layer":4},{"info":"compute binary expreesion, left_input=5836, right_input=4841, op_id = k8jYdgA6NY binary_op_definition= 'None', output=995","layer":3},{"info":"number node, value=1099","layer":4},{"info":"number node, value=5631","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=5631, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2198","layer":3},{"info":"compute binary expreesion, left_input=995, right_input=2198, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2411","layer":2},{"info":"number node, value=2156","layer":4},{"info":"number node, value=4830","layer":4},{"info":"compute binary expreesion, left_input=2156, right_input=4830, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-334497","layer":3},{"info":"compute unary expreesion, input=-334497, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=668077","layer":2},{"info":"compute binary expreesion, left_input=2411, right_input=668077, 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=3022","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=3022, right_input=1207, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1815","layer":3},{"info":"number node, value=2116","layer":4},{"info":"number node, value=8912","layer":4},{"info":"compute binary expreesion, left_input=2116, right_input=8912, 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=-1815, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=7134","layer":4},{"info":"compute unary expreesion, input=7134, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', 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=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":1},{"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":0}],"base":2,"result_base":2,"text":"((≮⫘↔1011011001100%≮⫘↔1001011101001)⊭↱(≮⫘↔10001001011⊉≛↸≮⫘↔1010111111111))≭(↯⪼(≮⫘↔100001101100⪄≮⫘↔1001011011110))∲⫓((≮⫘↔101111001110⇼⇔∾≮⫘↔10010110111)⨽≮⫘↔100001000100∼≮⫘↔10001011010000)⋓(-(⇁⨣⪵≮⫘↔1101111011110))=NaN","reverse_text":"NaN=((≮⫘↔1011011001100%≮⫘↔1001011101001)⊭↱(≮⫘↔10001001011⊉≛↸≮⫘↔1010111111111))≭(↯⪼(≮⫘↔100001101100⪄≮⫘↔1001011011110))∲⫓((≮⫘↔101111001110⇼⇔∾≮⫘↔10010110111)⨽≮⫘↔100001000100∼≮⫘↔10001011010000)⋓(-(⇁⨣⪵≮⫘↔1101111011110))","cot":[{"info":"≮⫘↔1011011001100%≮⫘↔1001011101001=≮⫘↔1111100011","layer":3},{"info":"≮⫘↔10001001011⊉≛↸≮⫘↔1010111111111=≮⫘↔100010010110","layer":3},{"info":"≮⫘↔1111100011⊭↱≮⫘↔100010010110=≮⫘↔100101101011","layer":2},{"info":"≮⫘↔100001101100⪄≮⫘↔1001011011110=≮⫘↔-1010001101010100001","layer":3},{"info":"↯⪼≮⫘↔-1010001101010100001=≮⫘↔10100011000110101101","layer":2},{"info":"≮⫘↔100101101011≭≮⫘↔10100011000110101101=NaN","layer":1},{"info":"≮⫘↔101111001110⇼⇔∾≮⫘↔10010110111=≮⫘↔-11100010111","layer":3},{"info":"≮⫘↔100001000100∼≮⫘↔10001011010000=NaN","layer":3},{"info":"≮⫘↔-11100010111⨽NaN=NaN","layer":2},{"info":"⇁⨣⪵≮⫘↔1101111011110=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":481,"expression_no_base_symbol":"(($2176$*$1360$)⨳⩥⨓($1207$⨸⪁$1485$))∼(↩($1213$⊘))⨐⩸⫘((($4734$+$4812$)⊭↱$5342$∼$1997$)⨳⩥⨓($2404$⨟⋌⩍$2372$⪄(↔$1832$)))","expression":"((≮⫘↔100010000000*≮⫘↔10101010000)⨳⩥⨓(≮⫘↔10010110111⨸⪁≮⫘↔10111001101))∼(↩(≮⫘↔10010111101⊘))⨐⩸⫘(((≮⫘↔1001001111110+≮⫘↔1001011001100)⊭↱≮⫘↔1010011011110∼≮⫘↔11111001101)⨳⩥⨓(≮⫘↔100101100100⨟⋌⩍≮⫘↔100101000100⪄(↔≮⫘↔11100101000)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":59473,"operation_count":14,"complexity_ratio":4248.071428571428,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2176,"base":2},"right_expr":{"type":"numeric_atoms","value":1360,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1207,"base":2},"right_expr":{"type":"numeric_atoms","value":1485,"base":2}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1213,"base":2}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4734,"base":2},"right_expr":{"type":"numeric_atoms","value":4812,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5342,"base":2},"right_expr":{"type":"numeric_atoms","value":1997,"base":2}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2404,"base":2},"right_expr":{"type":"numeric_atoms","value":2372,"base":2}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1832,"base":2}}}}},"used_operators":["fu6greOZ01","DyGG3AbaNP","nCS4ZIUYfx","9HNa5Wba9A","g55IO6H4Gj","jLgFTUHLKL","gu96TGCTMs","COABgblf1C","W4YGzv6Whe","SUmda5xLS4","rGHVDoGpnC","ruOEQAzv1W"],"dependent_operators":["3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Tcnh7f0tEr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2176","layer":4},{"info":"number node, value=1360","layer":4},{"info":"compute binary expreesion, left_input=2176, right_input=1360, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2959360","layer":3},{"info":"number node, value=1207","layer":4},{"info":"number node, value=1485","layer":4},{"info":"compute binary expreesion, left_input=1207, right_input=1485, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5384","layer":3},{"info":"compute binary expreesion, left_input=2959360, right_input=5384, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2953976","layer":2},{"info":"number node, value=1213","layer":4},{"info":"compute unary expreesion, input=1213, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":2},{"info":"compute binary expreesion, left_input=-2953976, right_input=4844, 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=4734","layer":4},{"info":"number node, value=4812","layer":4},{"info":"compute binary expreesion, left_input=4734, right_input=4812, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9546","layer":3},{"info":"number node, value=5342","layer":4},{"info":"number node, value=1997","layer":4},{"info":"compute binary expreesion, left_input=5342, right_input=1997, 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=9546, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=2404","layer":4},{"info":"number node, value=2372","layer":4},{"info":"compute binary expreesion, left_input=2404, right_input=2372, 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=1832","layer":4},{"info":"compute unary expreesion, input=1832, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1559","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1559, 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 = 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100010000000*≮⫘↔10101010000)⨳⩥⨓(≮⫘↔10010110111⨸⪁≮⫘↔10111001101))∼(↩(≮⫘↔10010111101⊘))⨐⩸⫘(((≮⫘↔1001001111110+≮⫘↔1001011001100)⊭↱≮⫘↔1010011011110∼≮⫘↔11111001101)⨳⩥⨓(≮⫘↔100101100100⨟⋌⩍≮⫘↔100101000100⪄(↔≮⫘↔11100101000)))=NaN","reverse_text":"NaN=((≮⫘↔100010000000*≮⫘↔10101010000)⨳⩥⨓(≮⫘↔10010110111⨸⪁≮⫘↔10111001101))∼(↩(≮⫘↔10010111101⊘))⨐⩸⫘(((≮⫘↔1001001111110+≮⫘↔1001011001100)⊭↱≮⫘↔1010011011110∼≮⫘↔11111001101)⨳⩥⨓(≮⫘↔100101100100⨟⋌⩍≮⫘↔100101000100⪄(↔≮⫘↔11100101000)))","cot":[{"info":"≮⫘↔100010000000*≮⫘↔10101010000=≮⫘↔1011010010100000000000","layer":3},{"info":"≮⫘↔10010110111⨸⪁≮⫘↔10111001101=≮⫘↔1010100001000","layer":3},{"info":"≮⫘↔1011010010100000000000⨳⩥⨓≮⫘↔1010100001000=≮⫘↔-1011010001001011111000","layer":2},{"info":"≮⫘↔10010111101⊘=≮⫘↔0","layer":3},{"info":"↩≮⫘↔0=≮⫘↔1001011101100","layer":2},{"info":"≮⫘↔-1011010001001011111000∼≮⫘↔1001011101100=NaN","layer":1},{"info":"≮⫘↔1001001111110+≮⫘↔1001011001100=≮⫘↔10010101001010","layer":3},{"info":"≮⫘↔1010011011110∼≮⫘↔11111001101=NaN","layer":3},{"info":"≮⫘↔10010101001010⊭↱NaN=NaN","layer":2},{"info":"≮⫘↔100101100100⨟⋌⩍≮⫘↔100101000100=NaN","layer":3},{"info":"↔≮⫘↔11100101000=≮⫘↔-11000010111","layer":3},{"info":"NaN⪄≮⫘↔-11000010111=≮⫘↔111110001011","layer":2},{"info":"NaN⨳⩥⨓≮⫘↔111110001011=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":482,"expression_no_base_symbol":"(⨰⫟⨤(≤/$1639$)↬($2263$⫸⊐$8799$))⫥∨⫟(($1829$⪢$1286$)⪢$5749$≹⇙⪍$2149$⊉≛↸($2503$⨪↰⇹$3414$⊉≛↸$3933$↬$3038$))","expression":"(⨰⫟⨤(≤/≮⫘↔11001100111)↬(≮⫘↔100011010111⫸⊐≮⫘↔10001001011111))⫥∨⫟((≮⫘↔11100100101⪢≮⫘↔10100000110)⪢≮⫘↔1011001110101≹⇙⪍≮⫘↔100001100101⊉≛↸(≮⫘↔100111000111⨪↰⇹≮⫘↔110101010110⊉≛↸≮⫘↔111101011101↬≮⫘↔101111011110))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6818,"operation_count":12,"complexity_ratio":568.1666666666666,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1639,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2263,"base":2},"right_expr":{"type":"numeric_atoms","value":8799,"base":2}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1829,"base":2},"right_expr":{"type":"numeric_atoms","value":1286,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5749,"base":2},"right_expr":{"type":"numeric_atoms","value":2149,"base":2}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2503,"base":2},"right_expr":{"type":"numeric_atoms","value":3414,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3933,"base":2},"right_expr":{"type":"numeric_atoms","value":3038,"base":2}}}}},"used_operators":["KYD54nUTWz","Tw270M8GLb","B5M0gjZbta","eLAdDNolq6","mqXw5SEYmG","DZ8iAZOCBD","dWAJyo7jo9","AHs5Up7iyr","tmPS8pqC7x"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1639","layer":4},{"info":"compute unary expreesion, input=1639, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1155","layer":3},{"info":"number node, value=2263","layer":4},{"info":"number node, value=8799","layer":4},{"info":"compute binary expreesion, left_input=2263, right_input=8799, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=35071","layer":3},{"info":"compute binary expreesion, left_input=-1155, right_input=35071, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1829","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=1829, right_input=1286, 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=5749","layer":4},{"info":"number node, value=2149","layer":4},{"info":"compute binary expreesion, left_input=5749, right_input=2149, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=2503","layer":4},{"info":"number node, value=3414","layer":4},{"info":"compute binary expreesion, left_input=2503, right_input=3414, 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=2503","layer":3},{"info":"number node, value=3933","layer":4},{"info":"number node, value=3038","layer":4},{"info":"compute binary expreesion, left_input=3933, right_input=3038, 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=2503, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5006","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5006, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨰⫟⨤(≤/≮⫘↔11001100111)↬(≮⫘↔100011010111⫸⊐≮⫘↔10001001011111))⫥∨⫟((≮⫘↔11100100101⪢≮⫘↔10100000110)⪢≮⫘↔1011001110101≹⇙⪍≮⫘↔100001100101⊉≛↸(≮⫘↔100111000111⨪↰⇹≮⫘↔110101010110⊉≛↸≮⫘↔111101011101↬≮⫘↔101111011110))=NaN","reverse_text":"NaN=(⨰⫟⨤(≤/≮⫘↔11001100111)↬(≮⫘↔100011010111⫸⊐≮⫘↔10001001011111))⫥∨⫟((≮⫘↔11100100101⪢≮⫘↔10100000110)⪢≮⫘↔1011001110101≹⇙⪍≮⫘↔100001100101⊉≛↸(≮⫘↔100111000111⨪↰⇹≮⫘↔110101010110⊉≛↸≮⫘↔111101011101↬≮⫘↔101111011110))","cot":[{"info":"≤/≮⫘↔11001100111=≮⫘↔-10010000011","layer":3},{"info":"≮⫘↔100011010111⫸⊐≮⫘↔10001001011111=≮⫘↔1000100011111111","layer":3},{"info":"≮⫘↔-10010000011↬≮⫘↔1000100011111111=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"≮⫘↔11100100101⪢≮⫘↔10100000110=NaN","layer":3},{"info":"≮⫘↔1011001110101≹⇙⪍≮⫘↔100001100101=NaN","layer":3},{"info":"NaN⪢NaN=NaN","layer":2},{"info":"≮⫘↔100111000111⨪↰⇹≮⫘↔110101010110=≮⫘↔100111000111","layer":3},{"info":"≮⫘↔111101011101↬≮⫘↔101111011110=NaN","layer":3},{"info":"≮⫘↔100111000111⊉≛↸NaN=≮⫘↔1001110001110","layer":2},{"info":"NaN⊉≛↸≮⫘↔1001110001110=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":483,"expression_no_base_symbol":"⇁⨣⪵(≦∁(↥$2033$⨽$5645$))","expression":"⇁⨣⪵(≦∁(↥≮⫘↔11111110001⨽≮⫘↔1011000001101))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":245496,"operation_count":4,"complexity_ratio":61374.0,"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":2033,"base":2},"right_expr":{"type":"numeric_atoms","value":5645,"base":2}}}}},"used_operators":["inkyxCbjAn","9ICcGScMcE","A8NUZmVepG","8HhzD0ZcuI"],"dependent_operators":["B5M0gjZbta","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2033","layer":4},{"info":"number node, value=5645","layer":4},{"info":"compute binary expreesion, left_input=2033, right_input=5645, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12414888","layer":3},{"info":"compute unary expreesion, input=-12414888, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=42","layer":2},{"info":"compute unary expreesion, input=42, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-824","layer":1},{"info":"compute unary expreesion, input=-824, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⇁⨣⪵(≦∁(↥≮⫘↔11111110001⨽≮⫘↔1011000001101))=NaN","reverse_text":"NaN=⇁⨣⪵(≦∁(↥≮⫘↔11111110001⨽≮⫘↔1011000001101))","cot":[{"info":"≮⫘↔11111110001⨽≮⫘↔1011000001101=≮⫘↔-101111010110111110101000","layer":3},{"info":"↥≮⫘↔-101111010110111110101000=≮⫘↔101010","layer":2},{"info":"≦∁≮⫘↔101010=≮⫘↔-1100111000","layer":1},{"info":"⇁⨣⪵≮⫘↔-1100111000=NaN","layer":0}]}
{"id":484,"expression_no_base_symbol":"(($2375$∲⫓$1270$)⪮%⊝($6353$+⇶⊼$4336$)↛⩡⫤)*(($4563$⪒$1128$)⇼⇔∾$3465$≹⇙⪍$1174$-(-$2910$)⊭↱($1966$⪒$3685$))","expression":"((≮⫘↔100101000111∲⫓≮⫘↔10011110110)⪮%⊝(≮⫘↔1100011010001+⇶⊼≮⫘↔1000011110000)↛⩡⫤)*((≮⫘↔1000111010011⪒≮⫘↔10001101000)⇼⇔∾≮⫘↔110110001001≹⇙⪍≮⫘↔10010010110-(-≮⫘↔101101011110)⊭↱(≮⫘↔11110101110⪒≮⫘↔111001100101))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":93,"operation_count":12,"complexity_ratio":7.75,"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":2375,"base":2},"right_expr":{"type":"numeric_atoms","value":1270,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6353,"base":2},"right_expr":{"type":"numeric_atoms","value":4336,"base":2}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4563,"base":2},"right_expr":{"type":"numeric_atoms","value":1128,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3465,"base":2},"right_expr":{"type":"numeric_atoms","value":1174,"base":2}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2910,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1966,"base":2},"right_expr":{"type":"numeric_atoms","value":3685,"base":2}}}}},"used_operators":["9HNa5Wba9A","FU0Cs4j7VP","IWmyXbctLI","i8ToyICDmI","TpPTUOHfaN","rysDP5nf3Z","tifHPKVTfV","f6k1SAg4EE","AHs5Up7iyr","COABgblf1C","t8gj7n24qd"],"dependent_operators":["W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2375","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=1270, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6353","layer":4},{"info":"number node, value=4336","layer":4},{"info":"compute binary expreesion, left_input=6353, right_input=4336, 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=0, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢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":"number node, value=4563","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=4563, right_input=1128, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5691","layer":3},{"info":"number node, value=3465","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=3465, right_input=1174, 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=-5691, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=2910","layer":4},{"info":"compute unary expreesion, input=2910, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2910","layer":3},{"info":"number node, value=1966","layer":4},{"info":"number node, value=3685","layer":4},{"info":"compute binary expreesion, left_input=1966, right_input=3685, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5651","layer":3},{"info":"compute binary expreesion, left_input=-2910, right_input=-5651, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5477","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5477, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100101000111∲⫓≮⫘↔10011110110)⪮%⊝(≮⫘↔1100011010001+⇶⊼≮⫘↔1000011110000)↛⩡⫤)*((≮⫘↔1000111010011⪒≮⫘↔10001101000)⇼⇔∾≮⫘↔110110001001≹⇙⪍≮⫘↔10010010110-(-≮⫘↔101101011110)⊭↱(≮⫘↔11110101110⪒≮⫘↔111001100101))=NaN","reverse_text":"NaN=((≮⫘↔100101000111∲⫓≮⫘↔10011110110)⪮%⊝(≮⫘↔1100011010001+⇶⊼≮⫘↔1000011110000)↛⩡⫤)*((≮⫘↔1000111010011⪒≮⫘↔10001101000)⇼⇔∾≮⫘↔110110001001≹⇙⪍≮⫘↔10010010110-(-≮⫘↔101101011110)⊭↱(≮⫘↔11110101110⪒≮⫘↔111001100101))","cot":[{"info":"≮⫘↔100101000111∲⫓≮⫘↔10011110110=≮⫘↔0","layer":3},{"info":"≮⫘↔1100011010001+⇶⊼≮⫘↔1000011110000=NaN","layer":3},{"info":"≮⫘↔0⪮%⊝NaN=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"≮⫘↔1000111010011⪒≮⫘↔10001101000=≮⫘↔-1011000111011","layer":3},{"info":"≮⫘↔110110001001≹⇙⪍≮⫘↔10010010110=NaN","layer":3},{"info":"≮⫘↔-1011000111011⇼⇔∾NaN=NaN","layer":2},{"info":"-≮⫘↔101101011110=≮⫘↔-101101011110","layer":3},{"info":"≮⫘↔11110101110⪒≮⫘↔111001100101=≮⫘↔-1011000010011","layer":3},{"info":"≮⫘↔-101101011110⊭↱≮⫘↔-1011000010011=≮⫘↔-1010101100101","layer":2},{"info":"NaN-≮⫘↔-1010101100101=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":485,"expression_no_base_symbol":"(($1196$∸)⋷$3971$↙$4511$⨵⪆$2413$∑⇟⊟$6556$⩨($2202$⋷$1177$))⨰(($4131$≧⫂∧$4701$⪐)≦≮≮)","expression":"((≮⫘↔10010101100∸)⋷≮⫘↔111110000011↙≮⫘↔1000110011111⨵⪆≮⫘↔100101101101∑⇟⊟≮⫘↔1100110011100⩨(≮⫘↔100010011010⋷≮⫘↔10010011001))⨰((≮⫘↔1000000100011≧⫂∧≮⫘↔1001001011101⪐)≦≮≮)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4714,"operation_count":11,"complexity_ratio":428.54545454545456,"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":1196,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3971,"base":2},"right_expr":{"type":"numeric_atoms","value":4511,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2413,"base":2},"right_expr":{"type":"numeric_atoms","value":6556,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2202,"base":2},"right_expr":{"type":"numeric_atoms","value":1177,"base":2}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4131,"base":2},"right_expr":{"type":"numeric_atoms","value":4701,"base":2}}}}},"used_operators":["eewbuw0ToL","2DQ55sFlQl","23Mk6UjR3U","o20kRiQErp","yyfyN0ffXY","2DlMacCsIx","U7g4x0WXJJ","D4vGDi5EA2","eH2TOUuTDT","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔110001111000010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1196","layer":4},{"info":"compute unary expreesion, input=1196, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=3971","layer":4},{"info":"number node, value=4511","layer":4},{"info":"compute binary expreesion, left_input=3971, right_input=4511, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13533","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-13533, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-354","layer":2},{"info":"number node, value=2413","layer":4},{"info":"number node, value=6556","layer":4},{"info":"compute binary expreesion, left_input=2413, right_input=6556, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2202","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=2202, right_input=1177, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=152","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=152, 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=-354, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=4131","layer":4},{"info":"number node, value=4701","layer":4},{"info":"compute binary expreesion, left_input=4131, right_input=4701, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4228","layer":3},{"info":"compute unary expreesion, input=4228, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=8456","layer":2},{"info":"compute unary expreesion, input=8456, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-25368","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-25368, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=25538","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10010101100∸)⋷≮⫘↔111110000011↙≮⫘↔1000110011111⨵⪆≮⫘↔100101101101∑⇟⊟≮⫘↔1100110011100⩨(≮⫘↔100010011010⋷≮⫘↔10010011001))⨰((≮⫘↔1000000100011≧⫂∧≮⫘↔1001001011101⪐)≦≮≮)=≮⫘↔110001111000010","reverse_text":"≮⫘↔110001111000010=((≮⫘↔10010101100∸)⋷≮⫘↔111110000011↙≮⫘↔1000110011111⨵⪆≮⫘↔100101101101∑⇟⊟≮⫘↔1100110011100⩨(≮⫘↔100010011010⋷≮⫘↔10010011001))⨰((≮⫘↔1000000100011≧⫂∧≮⫘↔1001001011101⪐)≦≮≮)","cot":[{"info":"≮⫘↔10010101100∸=≮⫘↔10110001","layer":3},{"info":"≮⫘↔111110000011↙≮⫘↔1000110011111=≮⫘↔-11010011011101","layer":3},{"info":"≮⫘↔10110001⋷≮⫘↔-11010011011101=≮⫘↔-101100010","layer":2},{"info":"≮⫘↔100101101101∑⇟⊟≮⫘↔1100110011100=NaN","layer":3},{"info":"≮⫘↔100010011010⋷≮⫘↔10010011001=≮⫘↔10011000","layer":3},{"info":"NaN⩨≮⫘↔10011000=NaN","layer":2},{"info":"≮⫘↔-101100010⨵⪆NaN=≮⫘↔10100000","layer":1},{"info":"≮⫘↔1000000100011≧⫂∧≮⫘↔1001001011101=≮⫘↔1000010000100","layer":3},{"info":"≮⫘↔1000010000100⪐=≮⫘↔10000100001000","layer":2},{"info":"≮⫘↔10000100001000≦≮≮=≮⫘↔-110001100011000","layer":1},{"info":"≮⫘↔10100000⨰≮⫘↔-110001100011000=≮⫘↔110001111000010","layer":0}]}
{"id":486,"expression_no_base_symbol":"(($2988$∼$1980$⪨≂(⨑⩽⪐$1301$))⇋≉)⇼⇔∾(($1463$⊉≛↸$1610$)⨎$1042$≎⊠⪸$1568$⫡⨏($7398$⫸⊐$4799$⋷($2065$+$1211$)))","expression":"((≮⫘↔101110101100∼≮⫘↔11110111100⪨≂(⨑⩽⪐≮⫘↔10100010101))⇋≉)⇼⇔∾((≮⫘↔10110110111⊉≛↸≮⫘↔11001001010)⨎≮⫘↔10000010010≎⊠⪸≮⫘↔11000100000⫡⨏(≮⫘↔1110011100110⫸⊐≮⫘↔1001010111111⋷(≮⫘↔100000010001+≮⫘↔10010111011)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":382,"operation_count":12,"complexity_ratio":31.833333333333332,"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":2988,"base":2},"right_expr":{"type":"numeric_atoms","value":1980,"base":2}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1301,"base":2}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1463,"base":2},"right_expr":{"type":"numeric_atoms","value":1610,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1042,"base":2},"right_expr":{"type":"numeric_atoms","value":1568,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7398,"base":2},"right_expr":{"type":"numeric_atoms","value":4799,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2065,"base":2},"right_expr":{"type":"numeric_atoms","value":1211,"base":2}}}}},"used_operators":["tifHPKVTfV","XIabStNQrY","sdazOOVcIp","DyGG3AbaNP","AF7qkfDlqP","QMFrweE19q","rJVOvQCfKK","DZ8iAZOCBD","bJkvcejdHO","23Mk6UjR3U","mqXw5SEYmG","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2988","layer":4},{"info":"number node, value=1980","layer":4},{"info":"compute binary expreesion, left_input=2988, right_input=1980, 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=1301","layer":4},{"info":"compute unary expreesion, input=1301, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1028","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1028, 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":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":1},{"info":"number node, value=1463","layer":4},{"info":"number node, value=1610","layer":4},{"info":"compute binary expreesion, left_input=1463, right_input=1610, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2926","layer":3},{"info":"number node, value=1042","layer":4},{"info":"number node, value=1568","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=1568, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=269405","layer":3},{"info":"compute binary expreesion, left_input=2926, right_input=269405, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=269405","layer":2},{"info":"number node, value=7398","layer":4},{"info":"number node, value=4799","layer":4},{"info":"compute binary expreesion, left_input=7398, right_input=4799, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=19071","layer":3},{"info":"number node, value=2065","layer":4},{"info":"number node, value=1211","layer":4},{"info":"compute binary expreesion, left_input=2065, right_input=1211, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3276","layer":3},{"info":"compute binary expreesion, left_input=19071, right_input=3276, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-12519","layer":2},{"info":"compute binary expreesion, left_input=269405, right_input=-12519, 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=1322770","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1322770, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101110101100∼≮⫘↔11110111100⪨≂(⨑⩽⪐≮⫘↔10100010101))⇋≉)⇼⇔∾((≮⫘↔10110110111⊉≛↸≮⫘↔11001001010)⨎≮⫘↔10000010010≎⊠⪸≮⫘↔11000100000⫡⨏(≮⫘↔1110011100110⫸⊐≮⫘↔1001010111111⋷(≮⫘↔100000010001+≮⫘↔10010111011)))=NaN","reverse_text":"NaN=((≮⫘↔101110101100∼≮⫘↔11110111100⪨≂(⨑⩽⪐≮⫘↔10100010101))⇋≉)⇼⇔∾((≮⫘↔10110110111⊉≛↸≮⫘↔11001001010)⨎≮⫘↔10000010010≎⊠⪸≮⫘↔11000100000⫡⨏(≮⫘↔1110011100110⫸⊐≮⫘↔1001010111111⋷(≮⫘↔100000010001+≮⫘↔10010111011)))","cot":[{"info":"≮⫘↔101110101100∼≮⫘↔11110111100=NaN","layer":3},{"info":"⨑⩽⪐≮⫘↔10100010101=≮⫘↔-10000000100","layer":3},{"info":"NaN⪨≂≮⫘↔-10000000100=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"≮⫘↔10110110111⊉≛↸≮⫘↔11001001010=≮⫘↔101101101110","layer":3},{"info":"≮⫘↔10000010010≎⊠⪸≮⫘↔11000100000=≮⫘↔1000001110001011101","layer":3},{"info":"≮⫘↔101101101110⨎≮⫘↔1000001110001011101=≮⫘↔1000001110001011101","layer":2},{"info":"≮⫘↔1110011100110⫸⊐≮⫘↔1001010111111=≮⫘↔100101001111111","layer":3},{"info":"≮⫘↔100000010001+≮⫘↔10010111011=≮⫘↔110011001100","layer":3},{"info":"≮⫘↔100101001111111⋷≮⫘↔110011001100=≮⫘↔-11000011100111","layer":2},{"info":"≮⫘↔1000001110001011101⫡⨏≮⫘↔-11000011100111=≮⫘↔101000010111100010010","layer":1},{"info":"NaN⇼⇔∾≮⫘↔101000010111100010010=NaN","layer":0}]}
{"id":487,"expression_no_base_symbol":"(($4011$⊠≄⫣)⪄(∂$4809$))⫸⊐(⨵≀≌$1692$)≭($1501$-$4681$)≋⫹","expression":"((≮⫘↔111110101011⊠≄⫣)⪄(∂≮⫘↔1001011001001))⫸⊐(⨵≀≌≮⫘↔11010011100)≭(≮⫘↔10111011101-≮⫘↔1001001001001)≋⫹","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":39,"operation_count":8,"complexity_ratio":4.875,"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":4011,"base":2}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4809,"base":2}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1692,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1501,"base":2},"right_expr":{"type":"numeric_atoms","value":4681,"base":2}}}}},"used_operators":["N41Kp7NANJ","mqXw5SEYmG","SUmda5xLS4","DIvbN7qnHd","Uaa54Peajs","rxpJgHHUmx","srAu1WTS94","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4011","layer":4},{"info":"compute unary expreesion, input=4011, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=4809","layer":4},{"info":"compute unary expreesion, input=4809, 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=0, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":2},{"info":"number node, value=1692","layer":4},{"info":"compute unary expreesion, input=1692, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5076","layer":3},{"info":"number node, value=1501","layer":4},{"info":"number node, value=4681","layer":4},{"info":"compute binary expreesion, left_input=1501, right_input=4681, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3180","layer":3},{"info":"compute binary expreesion, left_input=-5076, right_input=-3180, 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 = 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 unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111110101011⊠≄⫣)⪄(∂≮⫘↔1001011001001))⫸⊐(⨵≀≌≮⫘↔11010011100)≭(≮⫘↔10111011101-≮⫘↔1001001001001)≋⫹=NaN","reverse_text":"NaN=((≮⫘↔111110101011⊠≄⫣)⪄(∂≮⫘↔1001011001001))⫸⊐(⨵≀≌≮⫘↔11010011100)≭(≮⫘↔10111011101-≮⫘↔1001001001001)≋⫹","cot":[{"info":"≮⫘↔111110101011⊠≄⫣=≮⫘↔0","layer":3},{"info":"∂≮⫘↔1001011001001=NaN","layer":3},{"info":"≮⫘↔0⪄NaN=NaN","layer":2},{"info":"⨵≀≌≮⫘↔11010011100=≮⫘↔-1001111010100","layer":3},{"info":"≮⫘↔10111011101-≮⫘↔1001001001001=≮⫘↔-110001101100","layer":3},{"info":"≮⫘↔-1001111010100≭≮⫘↔-110001101100=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"NaN≋⫹=NaN","layer":0}]}
{"id":488,"expression_no_base_symbol":"⇁⨣⪵(($2553$+$1462$)≭$1635$⋓$1306$)⋓(↯⪼$6905$)⨪↰⇹($1903$⨐⩸⫘$1718$)","expression":"⇁⨣⪵((≮⫘↔100111111001+≮⫘↔10110110110)≭≮⫘↔11001100011⋓≮⫘↔10100011010)⋓(↯⪼≮⫘↔1101011111001)⨪↰⇹(≮⫘↔11101101111⨐⩸⫘≮⫘↔11010110110)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":82,"operation_count":8,"complexity_ratio":10.25,"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":2553,"base":2},"right_expr":{"type":"numeric_atoms","value":1462,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1635,"base":2},"right_expr":{"type":"numeric_atoms","value":1306,"base":2}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":6905,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1903,"base":2},"right_expr":{"type":"numeric_atoms","value":1718,"base":2}}}}},"used_operators":["inkyxCbjAn","T2fj7uvVaJ","rxpJgHHUmx","W4YGzv6Whe","tmPS8pqC7x","8jW3W4yZS5","fu6greOZ01"],"dependent_operators":["B5M0gjZbta","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","rJVOvQCfKK","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","3ViojmjbAp"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=2553","layer":4},{"info":"number node, value=1462","layer":4},{"info":"compute binary expreesion, left_input=2553, right_input=1462, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4015","layer":3},{"info":"number node, value=1635","layer":4},{"info":"number node, value=1306","layer":4},{"info":"compute binary expreesion, left_input=1635, right_input=1306, 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=4015, 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":"number node, value=6905","layer":4},{"info":"compute unary expreesion, input=6905, 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=1903","layer":4},{"info":"number node, value=1718","layer":4},{"info":"compute binary expreesion, left_input=1903, right_input=1718, 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=-21, 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=21","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=21, 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 unary expreesion, input=0, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":0}],"base":2,"result_base":2,"text":"⇁⨣⪵((≮⫘↔100111111001+≮⫘↔10110110110)≭≮⫘↔11001100011⋓≮⫘↔10100011010)⋓(↯⪼≮⫘↔1101011111001)⨪↰⇹(≮⫘↔11101101111⨐⩸⫘≮⫘↔11010110110)=≮⫘↔0","reverse_text":"≮⫘↔0=⇁⨣⪵((≮⫘↔100111111001+≮⫘↔10110110110)≭≮⫘↔11001100011⋓≮⫘↔10100011010)⋓(↯⪼≮⫘↔1101011111001)⨪↰⇹(≮⫘↔11101101111⨐⩸⫘≮⫘↔11010110110)","cot":[{"info":"≮⫘↔100111111001+≮⫘↔10110110110=≮⫘↔111110101111","layer":3},{"info":"≮⫘↔11001100011⋓≮⫘↔10100011010=≮⫘↔0","layer":3},{"info":"≮⫘↔111110101111≭≮⫘↔0=≮⫘↔-10110","layer":2},{"info":"↯⪼≮⫘↔1101011111001=≮⫘↔-10101","layer":3},{"info":"≮⫘↔11101101111⨐⩸⫘≮⫘↔11010110110=NaN","layer":3},{"info":"≮⫘↔-10101⨪↰⇹NaN=≮⫘↔10101","layer":2},{"info":"≮⫘↔-10110⋓≮⫘↔10101=≮⫘↔0","layer":1},{"info":"⇁⨣⪵≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":489,"expression_no_base_symbol":"↥(↩($3623$⫥∨⫟$2528$⨸⪁($2186$⨵⪆$1751$)))","expression":"↥(↩(≮⫘↔111000100111⫥∨⫟≮⫘↔100111100000⨸⪁(≮⫘↔100010001010⨵⪆≮⫘↔11011010111)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":178,"operation_count":5,"complexity_ratio":35.6,"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":3623,"base":2},"right_expr":{"type":"numeric_atoms","value":2528,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2186,"base":2},"right_expr":{"type":"numeric_atoms","value":1751,"base":2}}}}},"used_operators":["A8NUZmVepG","jLgFTUHLKL","g55IO6H4Gj","KYD54nUTWz","2DQ55sFlQl"],"dependent_operators":["k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=3623","layer":4},{"info":"number node, value=2528","layer":4},{"info":"compute binary expreesion, left_input=3623, right_input=2528, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2186","layer":4},{"info":"number node, value=1751","layer":4},{"info":"compute binary expreesion, left_input=2186, right_input=1751, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', 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 unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↥(↩(≮⫘↔111000100111⫥∨⫟≮⫘↔100111100000⨸⪁(≮⫘↔100010001010⨵⪆≮⫘↔11011010111)))=NaN","reverse_text":"NaN=↥(↩(≮⫘↔111000100111⫥∨⫟≮⫘↔100111100000⨸⪁(≮⫘↔100010001010⨵⪆≮⫘↔11011010111)))","cot":[{"info":"≮⫘↔111000100111⫥∨⫟≮⫘↔100111100000=NaN","layer":3},{"info":"≮⫘↔100010001010⨵⪆≮⫘↔11011010111=≮⫘↔10100000","layer":3},{"info":"NaN⨸⪁≮⫘↔10100000=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":490,"expression_no_base_symbol":"(($9216$+$2475$)⨽($3443$⪨≂$2890$))+⇶⊼(↔$5924$)∀⇚≩($6042$⋳⪒$5490$)⪄((≤/$1551$)⇋≉)≎⊠⪸($3749$⨪↰⇹$1422$⊭∹↮)","expression":"((≮⫘↔10010000000000+≮⫘↔100110101011)⨽(≮⫘↔110101110011⪨≂≮⫘↔101101001010))+⇶⊼(↔≮⫘↔1011100100100)∀⇚≩(≮⫘↔1011110011010⋳⪒≮⫘↔1010101110010)⪄((≤/≮⫘↔11000001111)⇋≉)≎⊠⪸(≮⫘↔111010100101⨪↰⇹≮⫘↔10110001110⊭∹↮)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":55330,"operation_count":13,"complexity_ratio":4256.153846153846,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":9216,"base":2},"right_expr":{"type":"numeric_atoms","value":2475,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3443,"base":2},"right_expr":{"type":"numeric_atoms","value":2890,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5924,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6042,"base":2},"right_expr":{"type":"numeric_atoms","value":5490,"base":2}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1551,"base":2}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3749,"base":2},"right_expr":{"type":"numeric_atoms","value":1422,"base":2}}}}},"used_operators":["SUmda5xLS4","TpPTUOHfaN","8HhzD0ZcuI","W4YGzv6Whe","sdazOOVcIp","LRNGc0VcxI","ruOEQAzv1W","12rbrZMWeM","bJkvcejdHO","XIabStNQrY","eLAdDNolq6","xNBdhnnwKq","tmPS8pqC7x"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK"],"result":"≮⫘↔111110001011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=9216","layer":4},{"info":"number node, value=2475","layer":4},{"info":"compute binary expreesion, left_input=9216, right_input=2475, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11691","layer":3},{"info":"number node, value=3443","layer":4},{"info":"number node, value=2890","layer":4},{"info":"compute binary expreesion, left_input=3443, right_input=2890, 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=1208","layer":3},{"info":"compute binary expreesion, left_input=11691, right_input=1208, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-410040753","layer":2},{"info":"number node, value=5924","layer":4},{"info":"compute unary expreesion, input=5924, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5651","layer":3},{"info":"number node, value=6042","layer":4},{"info":"number node, value=5490","layer":4},{"info":"compute binary expreesion, left_input=6042, right_input=5490, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6307","layer":3},{"info":"compute binary expreesion, left_input=-5651, right_input=6307, 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=-410040753, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=1551","layer":4},{"info":"compute unary expreesion, input=1551, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1067","layer":3},{"info":"compute unary expreesion, input=-1067, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-2232","layer":2},{"info":"number node, value=3749","layer":4},{"info":"number node, value=1422","layer":4},{"info":"compute binary expreesion, left_input=3749, right_input=1422, 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=3749","layer":3},{"info":"compute unary expreesion, input=3749, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=7498","layer":2},{"info":"compute binary expreesion, left_input=-2232, right_input=7498, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=578088","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=578088, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10010000000000+≮⫘↔100110101011)⨽(≮⫘↔110101110011⪨≂≮⫘↔101101001010))+⇶⊼(↔≮⫘↔1011100100100)∀⇚≩(≮⫘↔1011110011010⋳⪒≮⫘↔1010101110010)⪄((≤/≮⫘↔11000001111)⇋≉)≎⊠⪸(≮⫘↔111010100101⨪↰⇹≮⫘↔10110001110⊭∹↮)=≮⫘↔111110001011","reverse_text":"≮⫘↔111110001011=((≮⫘↔10010000000000+≮⫘↔100110101011)⨽(≮⫘↔110101110011⪨≂≮⫘↔101101001010))+⇶⊼(↔≮⫘↔1011100100100)∀⇚≩(≮⫘↔1011110011010⋳⪒≮⫘↔1010101110010)⪄((≤/≮⫘↔11000001111)⇋≉)≎⊠⪸(≮⫘↔111010100101⨪↰⇹≮⫘↔10110001110⊭∹↮)","cot":[{"info":"≮⫘↔10010000000000+≮⫘↔100110101011=≮⫘↔10110110101011","layer":3},{"info":"≮⫘↔110101110011⪨≂≮⫘↔101101001010=≮⫘↔10010111000","layer":3},{"info":"≮⫘↔10110110101011⨽≮⫘↔10010111000=≮⫘↔-11000011100001011100110110001","layer":2},{"info":"↔≮⫘↔1011100100100=≮⫘↔-1011000010011","layer":3},{"info":"≮⫘↔1011110011010⋳⪒≮⫘↔1010101110010=≮⫘↔1100010100011","layer":3},{"info":"≮⫘↔-1011000010011∀⇚≩≮⫘↔1100010100011=NaN","layer":2},{"info":"≮⫘↔-11000011100001011100110110001+⇶⊼NaN=NaN","layer":1},{"info":"≤/≮⫘↔11000001111=≮⫘↔-10000101011","layer":3},{"info":"≮⫘↔-10000101011⇋≉=≮⫘↔-100010111000","layer":2},{"info":"≮⫘↔111010100101⨪↰⇹≮⫘↔10110001110=≮⫘↔111010100101","layer":3},{"info":"≮⫘↔111010100101⊭∹↮=≮⫘↔1110101001010","layer":2},{"info":"≮⫘↔-100010111000≎⊠⪸≮⫘↔1110101001010=≮⫘↔10001101001000101000","layer":1},{"info":"NaN⪄≮⫘↔10001101001000101000=≮⫘↔111110001011","layer":0}]}
{"id":491,"expression_no_base_symbol":"($4022$⪘⫢$4777$⪒(+⊝⨔$2278$))⋓(⨰⫟⨤(⨞⊢$3059$))⋳⪒(↥$1411$∼$1353$)⋓(($1434$≭$2507$)⩷∴($1546$≭$1620$))","expression":"(≮⫘↔111110110110⪘⫢≮⫘↔1001010101001⪒(+⊝⨔≮⫘↔100011100110))⋓(⨰⫟⨤(⨞⊢≮⫘↔101111110011))⋳⪒(↥≮⫘↔10110000011∼≮⫘↔10101001001)⋓((≮⫘↔10110011010≭≮⫘↔100111001011)⩷∴(≮⫘↔11000001010≭≮⫘↔11001010100))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":13955,"operation_count":13,"complexity_ratio":1073.4615384615386,"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":4022,"base":2},"right_expr":{"type":"numeric_atoms","value":4777,"base":2}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2278,"base":2}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3059,"base":2}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1411,"base":2},"right_expr":{"type":"numeric_atoms","value":1353,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1434,"base":2},"right_expr":{"type":"numeric_atoms","value":2507,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1546,"base":2},"right_expr":{"type":"numeric_atoms","value":1620,"base":2}}}}},"used_operators":["12rbrZMWeM","T2fj7uvVaJ","f6k1SAg4EE","oacrs7FA3X","DhbWaqg5eL","Tw270M8GLb","xUOZtlo3hN","A8NUZmVepG","DyGG3AbaNP","9FxExcQeMw","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4022","layer":4},{"info":"number node, value=4777","layer":4},{"info":"compute binary expreesion, left_input=4022, right_input=4777, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7920","layer":3},{"info":"number node, value=2278","layer":4},{"info":"compute unary expreesion, input=2278, 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=7920, right_input=1522, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9442","layer":2},{"info":"number node, value=3059","layer":4},{"info":"compute unary expreesion, input=3059, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3233","layer":3},{"info":"compute unary expreesion, input=-3233, 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=-9442, 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":1},{"info":"number node, value=1411","layer":4},{"info":"number node, value=1353","layer":4},{"info":"compute binary expreesion, left_input=1411, right_input=1353, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":2},{"info":"number node, value=1434","layer":4},{"info":"number node, value=2507","layer":4},{"info":"compute binary expreesion, left_input=1434, right_input=2507, 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=1546","layer":4},{"info":"number node, value=1620","layer":4},{"info":"compute binary expreesion, left_input=1546, right_input=1620, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔111110110110⪘⫢≮⫘↔1001010101001⪒(+⊝⨔≮⫘↔100011100110))⋓(⨰⫟⨤(⨞⊢≮⫘↔101111110011))⋳⪒(↥≮⫘↔10110000011∼≮⫘↔10101001001)⋓((≮⫘↔10110011010≭≮⫘↔100111001011)⩷∴(≮⫘↔11000001010≭≮⫘↔11001010100))=NaN","reverse_text":"NaN=(≮⫘↔111110110110⪘⫢≮⫘↔1001010101001⪒(+⊝⨔≮⫘↔100011100110))⋓(⨰⫟⨤(⨞⊢≮⫘↔101111110011))⋳⪒(↥≮⫘↔10110000011∼≮⫘↔10101001001)⋓((≮⫘↔10110011010≭≮⫘↔100111001011)⩷∴(≮⫘↔11000001010≭≮⫘↔11001010100))","cot":[{"info":"≮⫘↔111110110110⪘⫢≮⫘↔1001010101001=≮⫘↔1111011110000","layer":3},{"info":"+⊝⨔≮⫘↔100011100110=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔1111011110000⪒≮⫘↔10111110010=≮⫘↔-10010011100010","layer":2},{"info":"⨞⊢≮⫘↔101111110011=≮⫘↔-110010100001","layer":3},{"info":"⨰⫟⨤≮⫘↔-110010100001=NaN","layer":2},{"info":"≮⫘↔-10010011100010⋓NaN=NaN","layer":1},{"info":"≮⫘↔10110000011∼≮⫘↔10101001001=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"≮⫘↔10110011010≭≮⫘↔100111001011=NaN","layer":3},{"info":"≮⫘↔11000001010≭≮⫘↔11001010100=NaN","layer":3},{"info":"NaN⩷∴NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":492,"expression_no_base_symbol":"⋗⩬⋾(⊥($2258$∸))≧⫂∧($6171$⇷$1017$)⪢($3980$⨵⪆$3693$)","expression":"⋗⩬⋾(⊥(≮⫘↔100011010010∸))≧⫂∧(≮⫘↔1100000011011⇷≮⫘↔1111111001)⪢(≮⫘↔111110001100⨵⪆≮⫘↔111001101101)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":119292,"operation_count":7,"complexity_ratio":17041.714285714286,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2258,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6171,"base":2},"right_expr":{"type":"numeric_atoms","value":1017,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3980,"base":2},"right_expr":{"type":"numeric_atoms","value":3693,"base":2}}}}},"used_operators":["DpFCA1CohY","Ph9nP6C5qx","Q3PJZHRvZv","o20kRiQErp","dWAJyo7jo9","mp7IySMOzn","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","tmPS8pqC7x","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2258","layer":4},{"info":"compute unary expreesion, input=2258, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-180","layer":2},{"info":"number node, value=6171","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=6171, right_input=1017, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2034","layer":3},{"info":"number node, value=3980","layer":4},{"info":"number node, value=3693","layer":4},{"info":"compute binary expreesion, left_input=3980, right_input=3693, 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=2034, right_input=160, 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=-180, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"⋗⩬⋾(⊥(≮⫘↔100011010010∸))≧⫂∧(≮⫘↔1100000011011⇷≮⫘↔1111111001)⪢(≮⫘↔111110001100⨵⪆≮⫘↔111001101101)=NaN","reverse_text":"NaN=⋗⩬⋾(⊥(≮⫘↔100011010010∸))≧⫂∧(≮⫘↔1100000011011⇷≮⫘↔1111111001)⪢(≮⫘↔111110001100⨵⪆≮⫘↔111001101101)","cot":[{"info":"≮⫘↔100011010010∸=≮⫘↔10110001","layer":3},{"info":"⊥≮⫘↔10110001=≮⫘↔-10110100","layer":2},{"info":"≮⫘↔1100000011011⇷≮⫘↔1111111001=≮⫘↔11111110010","layer":3},{"info":"≮⫘↔111110001100⨵⪆≮⫘↔111001101101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔11111110010⪢≮⫘↔10100000=NaN","layer":2},{"info":"≮⫘↔-10110100≧⫂∧NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":493,"expression_no_base_symbol":"($3457$∼$4177$⨓($4123$⨽$1363$)*($6740$≹⇙⪍$2802$⋷$2027$⨓$2708$))≭(($5680$⨽$2936$↛⩡⫤)⊭↱($1043$≧⫂∧$4402$-$3606$⨐⩸⫘$1555$))","expression":"(≮⫘↔110110000001∼≮⫘↔1000001010001⨓(≮⫘↔1000000011011⨽≮⫘↔10101010011)*(≮⫘↔1101001010100≹⇙⪍≮⫘↔101011110010⋷≮⫘↔11111101011⨓≮⫘↔101010010100))≭((≮⫘↔1011000110000⨽≮⫘↔101101111000↛⩡⫤)⊭↱(≮⫘↔10000010011≧⫂∧≮⫘↔1000100110010-≮⫘↔111000010110⨐⩸⫘≮⫘↔11000010011))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12670,"operation_count":14,"complexity_ratio":905.0,"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":3457,"base":2},"right_expr":{"type":"numeric_atoms","value":4177,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4123,"base":2},"right_expr":{"type":"numeric_atoms","value":1363,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6740,"base":2},"right_expr":{"type":"numeric_atoms","value":2802,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2027,"base":2},"right_expr":{"type":"numeric_atoms","value":2708,"base":2}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5680,"base":2},"right_expr":{"type":"numeric_atoms","value":2936,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1043,"base":2},"right_expr":{"type":"numeric_atoms","value":4402,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3606,"base":2},"right_expr":{"type":"numeric_atoms","value":1555,"base":2}}}}},"used_operators":["rxpJgHHUmx","9HNa5Wba9A","3ViojmjbAp","DyGG3AbaNP","8HhzD0ZcuI","23Mk6UjR3U","AHs5Up7iyr","COABgblf1C","FU0Cs4j7VP","rysDP5nf3Z","Ph9nP6C5qx","fu6greOZ01"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3457","layer":4},{"info":"number node, value=4177","layer":4},{"info":"compute binary expreesion, left_input=3457, right_input=4177, 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=4123","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=4123, right_input=1363, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-51000162","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-51000162, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=6740","layer":4},{"info":"number node, value=2802","layer":4},{"info":"compute binary expreesion, left_input=6740, right_input=2802, 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=2027","layer":4},{"info":"number node, value=2708","layer":4},{"info":"compute binary expreesion, left_input=2027, right_input=2708, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2711","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2711, 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=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5680","layer":4},{"info":"number node, value=2936","layer":4},{"info":"compute binary expreesion, left_input=5680, right_input=2936, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-96794694","layer":3},{"info":"compute unary expreesion, input=-96794694, 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":2},{"info":"number node, value=1043","layer":4},{"info":"number node, value=4402","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=4402, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3929","layer":3},{"info":"number node, value=3606","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=3606, right_input=1555, 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=3929, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', 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 binary expreesion, left_input=nan, 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":0}],"base":2,"result_base":2,"text":"(≮⫘↔110110000001∼≮⫘↔1000001010001⨓(≮⫘↔1000000011011⨽≮⫘↔10101010011)*(≮⫘↔1101001010100≹⇙⪍≮⫘↔101011110010⋷≮⫘↔11111101011⨓≮⫘↔101010010100))≭((≮⫘↔1011000110000⨽≮⫘↔101101111000↛⩡⫤)⊭↱(≮⫘↔10000010011≧⫂∧≮⫘↔1000100110010-≮⫘↔111000010110⨐⩸⫘≮⫘↔11000010011))=NaN","reverse_text":"NaN=(≮⫘↔110110000001∼≮⫘↔1000001010001⨓(≮⫘↔1000000011011⨽≮⫘↔10101010011)*(≮⫘↔1101001010100≹⇙⪍≮⫘↔101011110010⋷≮⫘↔11111101011⨓≮⫘↔101010010100))≭((≮⫘↔1011000110000⨽≮⫘↔101101111000↛⩡⫤)⊭↱(≮⫘↔10000010011≧⫂∧≮⫘↔1000100110010-≮⫘↔111000010110⨐⩸⫘≮⫘↔11000010011))","cot":[{"info":"≮⫘↔110110000001∼≮⫘↔1000001010001=NaN","layer":3},{"info":"≮⫘↔1000000011011⨽≮⫘↔10101010011=≮⫘↔-11000010100011001101100010","layer":3},{"info":"NaN⨓≮⫘↔-11000010100011001101100010=NaN","layer":2},{"info":"≮⫘↔1101001010100≹⇙⪍≮⫘↔101011110010=NaN","layer":3},{"info":"≮⫘↔11111101011⨓≮⫘↔101010010100=≮⫘↔-101010010111","layer":3},{"info":"NaN⋷≮⫘↔-101010010111=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"≮⫘↔1011000110000⨽≮⫘↔101101111000=≮⫘↔-101110001001111100001000110","layer":3},{"info":"≮⫘↔-101110001001111100001000110↛⩡⫤=NaN","layer":2},{"info":"≮⫘↔10000010011≧⫂∧≮⫘↔1000100110010=≮⫘↔111101011001","layer":3},{"info":"≮⫘↔111000010110⨐⩸⫘≮⫘↔11000010011=NaN","layer":3},{"info":"≮⫘↔111101011001-NaN=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":494,"expression_no_base_symbol":"$4005$⊴$2609$⪢(-$1272$)≎⊠⪸($4042$⩚⊴⇥$4089$)⨟⋌⩍($1098$⋳⪒$3851$)↺(($2200$⨽$1470$)⋓($2175$≭$3718$))⊴((⨵≀≌$1180$)-$1247$⨎$1498$)","expression":"≮⫘↔111110100101⊴≮⫘↔101000110001⪢(-≮⫘↔10011111000)≎⊠⪸(≮⫘↔111111001010⩚⊴⇥≮⫘↔111111111001)⨟⋌⩍(≮⫘↔10001001010⋳⪒≮⫘↔111100001011)↺((≮⫘↔100010011000⨽≮⫘↔10110111110)⋓(≮⫘↔100001111111≭≮⫘↔111010000110))⊴((⨵≀≌≮⫘↔10010011100)-≮⫘↔10011011111⨎≮⫘↔10111011010)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11490,"operation_count":15,"complexity_ratio":766.0,"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":4005,"base":2},"right_expr":{"type":"numeric_atoms","value":2609,"base":2}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1272,"base":2}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4042,"base":2},"right_expr":{"type":"numeric_atoms","value":4089,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1098,"base":2},"right_expr":{"type":"numeric_atoms","value":3851,"base":2}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2200,"base":2},"right_expr":{"type":"numeric_atoms","value":1470,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2175,"base":2},"right_expr":{"type":"numeric_atoms","value":3718,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1180,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1247,"base":2},"right_expr":{"type":"numeric_atoms","value":1498,"base":2}}}}},"used_operators":["7j4O788W3g","bJkvcejdHO","dWAJyo7jo9","Nsiff2A1zJ","t8gj7n24qd","rGHVDoGpnC","NTOWxs364D","12rbrZMWeM","T2fj7uvVaJ","8HhzD0ZcuI","rxpJgHHUmx","rysDP5nf3Z","srAu1WTS94","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4005","layer":4},{"info":"number node, value=2609","layer":4},{"info":"compute binary expreesion, left_input=4005, right_input=2609, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1272","layer":4},{"info":"compute unary expreesion, input=1272, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1272","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1272, 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=4042","layer":4},{"info":"number node, value=4089","layer":4},{"info":"compute binary expreesion, left_input=4042, right_input=4089, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8252","layer":3},{"info":"number node, value=1098","layer":4},{"info":"number node, value=3851","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=3851, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1942","layer":3},{"info":"compute binary expreesion, left_input=-8252, right_input=-1942, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=2200","layer":4},{"info":"number node, value=1470","layer":4},{"info":"compute binary expreesion, left_input=2200, right_input=1470, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-14523096","layer":3},{"info":"number node, value=2175","layer":4},{"info":"number node, value=3718","layer":4},{"info":"compute binary expreesion, left_input=2175, right_input=3718, 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=-14523096, 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":"number node, value=1180","layer":4},{"info":"compute unary expreesion, input=1180, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3540","layer":3},{"info":"number node, value=1247","layer":4},{"info":"number node, value=1498","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=1498, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1498","layer":3},{"info":"compute binary expreesion, left_input=-3540, right_input=1498, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5038","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5038, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔111110100101⊴≮⫘↔101000110001⪢(-≮⫘↔10011111000)≎⊠⪸(≮⫘↔111111001010⩚⊴⇥≮⫘↔111111111001)⨟⋌⩍(≮⫘↔10001001010⋳⪒≮⫘↔111100001011)↺((≮⫘↔100010011000⨽≮⫘↔10110111110)⋓(≮⫘↔100001111111≭≮⫘↔111010000110))⊴((⨵≀≌≮⫘↔10010011100)-≮⫘↔10011011111⨎≮⫘↔10111011010)=NaN","reverse_text":"NaN=≮⫘↔111110100101⊴≮⫘↔101000110001⪢(-≮⫘↔10011111000)≎⊠⪸(≮⫘↔111111001010⩚⊴⇥≮⫘↔111111111001)⨟⋌⩍(≮⫘↔10001001010⋳⪒≮⫘↔111100001011)↺((≮⫘↔100010011000⨽≮⫘↔10110111110)⋓(≮⫘↔100001111111≭≮⫘↔111010000110))⊴((⨵≀≌≮⫘↔10010011100)-≮⫘↔10011011111⨎≮⫘↔10111011010)","cot":[{"info":"≮⫘↔111110100101⊴≮⫘↔101000110001=NaN","layer":3},{"info":"-≮⫘↔10011111000=≮⫘↔-10011111000","layer":3},{"info":"NaN⪢≮⫘↔-10011111000=NaN","layer":2},{"info":"≮⫘↔111111001010⩚⊴⇥≮⫘↔111111111001=≮⫘↔-10000000111100","layer":3},{"info":"≮⫘↔10001001010⋳⪒≮⫘↔111100001011=≮⫘↔-11110010110","layer":3},{"info":"≮⫘↔-10000000111100⨟⋌⩍≮⫘↔-11110010110=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=≮⫘↔1000011","layer":1},{"info":"≮⫘↔100010011000⨽≮⫘↔10110111110=≮⫘↔-110111011001101011011000","layer":3},{"info":"≮⫘↔100001111111≭≮⫘↔111010000110=NaN","layer":3},{"info":"≮⫘↔-110111011001101011011000⋓NaN=NaN","layer":2},{"info":"⨵≀≌≮⫘↔10010011100=≮⫘↔-110111010100","layer":3},{"info":"≮⫘↔10011011111⨎≮⫘↔10111011010=≮⫘↔10111011010","layer":3},{"info":"≮⫘↔-110111010100-≮⫘↔10111011010=≮⫘↔-1001110101110","layer":2},{"info":"NaN⊴≮⫘↔-1001110101110=NaN","layer":1},{"info":"≮⫘↔1000011↺NaN=NaN","layer":0}]}
{"id":495,"expression_no_base_symbol":"($2121$⋝⋈⪟$1832$⊉≛↸$5458$∀⇚≩$1986$⨸⪁($3875$⨽$3454$⪨≂$2717$⋥≓≎$3467$))⨎((↣≠⋷$2066$)/$3478$%$1448$)≧⫂∧($2506$⪘⫢$1280$≣⋋)","expression":"(≮⫘↔100001001001⋝⋈⪟≮⫘↔11100101000⊉≛↸≮⫘↔1010101010010∀⇚≩≮⫘↔11111000010⨸⪁(≮⫘↔111100100011⨽≮⫘↔110101111110⪨≂≮⫘↔101010011101⋥≓≎≮⫘↔110110001011))⨎((↣≠⋷≮⫘↔100000010010)/≮⫘↔110110010110%≮⫘↔10110101000)≧⫂∧(≮⫘↔100111001010⪘⫢≮⫘↔10100000000≣⋋)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":42644,"operation_count":14,"complexity_ratio":3046.0,"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":2121,"base":2},"right_expr":{"type":"numeric_atoms","value":1832,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5458,"base":2},"right_expr":{"type":"numeric_atoms","value":1986,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3875,"base":2},"right_expr":{"type":"numeric_atoms","value":3454,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2717,"base":2},"right_expr":{"type":"numeric_atoms","value":3467,"base":2}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2066,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3478,"base":2},"right_expr":{"type":"numeric_atoms","value":1448,"base":2}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2506,"base":2},"right_expr":{"type":"numeric_atoms","value":1280,"base":2}}}}},"used_operators":["rJVOvQCfKK","g55IO6H4Gj","DZ8iAZOCBD","2DDjHMKMc0","LRNGc0VcxI","sdazOOVcIp","8HhzD0ZcuI","Qy55tPpLXF","Ph9nP6C5qx","XhwjNDsVaA","Asc51vEJeQ","k8jYdgA6NY","Tcnh7f0tEr","oacrs7FA3X"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"≮⫘↔-111011001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2121","layer":4},{"info":"number node, value=1832","layer":4},{"info":"compute binary expreesion, left_input=2121, right_input=1832, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2121","layer":3},{"info":"number node, value=5458","layer":4},{"info":"number node, value=1986","layer":4},{"info":"compute binary expreesion, left_input=5458, right_input=1986, 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=2121, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4242","layer":2},{"info":"number node, value=3875","layer":4},{"info":"number node, value=3454","layer":4},{"info":"compute binary expreesion, left_input=3875, right_input=3454, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-45055923","layer":3},{"info":"number node, value=2717","layer":4},{"info":"number node, value=3467","layer":4},{"info":"compute binary expreesion, left_input=2717, right_input=3467, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4250","layer":3},{"info":"compute binary expreesion, left_input=-45055923, right_input=4250, 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=-90120244","layer":2},{"info":"compute binary expreesion, left_input=4242, right_input=-90120244, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-180232004","layer":1},{"info":"number node, value=2066","layer":4},{"info":"compute unary expreesion, input=2066, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=3478","layer":4},{"info":"number node, value=1448","layer":4},{"info":"compute binary expreesion, left_input=3478, right_input=1448, op_id = k8jYdgA6NY binary_op_definition= 'None', output=582","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=582, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2506","layer":4},{"info":"number node, value=1280","layer":4},{"info":"compute binary expreesion, left_input=2506, right_input=1280, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4888","layer":3},{"info":"compute unary expreesion, input=4888, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=-180232004, right_input=-473, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-473","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100001001001⋝⋈⪟≮⫘↔11100101000⊉≛↸≮⫘↔1010101010010∀⇚≩≮⫘↔11111000010⨸⪁(≮⫘↔111100100011⨽≮⫘↔110101111110⪨≂≮⫘↔101010011101⋥≓≎≮⫘↔110110001011))⨎((↣≠⋷≮⫘↔100000010010)/≮⫘↔110110010110%≮⫘↔10110101000)≧⫂∧(≮⫘↔100111001010⪘⫢≮⫘↔10100000000≣⋋)=≮⫘↔-111011001","reverse_text":"≮⫘↔-111011001=(≮⫘↔100001001001⋝⋈⪟≮⫘↔11100101000⊉≛↸≮⫘↔1010101010010∀⇚≩≮⫘↔11111000010⨸⪁(≮⫘↔111100100011⨽≮⫘↔110101111110⪨≂≮⫘↔101010011101⋥≓≎≮⫘↔110110001011))⨎((↣≠⋷≮⫘↔100000010010)/≮⫘↔110110010110%≮⫘↔10110101000)≧⫂∧(≮⫘↔100111001010⪘⫢≮⫘↔10100000000≣⋋)","cot":[{"info":"≮⫘↔100001001001⋝⋈⪟≮⫘↔11100101000=≮⫘↔100001001001","layer":3},{"info":"≮⫘↔1010101010010∀⇚≩≮⫘↔11111000010=NaN","layer":3},{"info":"≮⫘↔100001001001⊉≛↸NaN=≮⫘↔1000010010010","layer":2},{"info":"≮⫘↔111100100011⨽≮⫘↔110101111110=≮⫘↔-10101011110111111110110011","layer":3},{"info":"≮⫘↔101010011101⋥≓≎≮⫘↔110110001011=≮⫘↔1000010011010","layer":3},{"info":"≮⫘↔-10101011110111111110110011⪨≂≮⫘↔1000010011010=≮⫘↔-101010111110010000000110100","layer":2},{"info":"≮⫘↔1000010010010⨸⪁≮⫘↔-101010111110010000000110100=≮⫘↔-1010101111100001111101000100","layer":1},{"info":"↣≠⋷≮⫘↔100000010010=NaN","layer":3},{"info":"≮⫘↔110110010110%≮⫘↔10110101000=≮⫘↔1001000110","layer":3},{"info":"NaN/≮⫘↔1001000110=NaN","layer":2},{"info":"≮⫘↔100111001010⪘⫢≮⫘↔10100000000=≮⫘↔1001100011000","layer":3},{"info":"≮⫘↔1001100011000≣⋋=≮⫘↔0","layer":2},{"info":"NaN≧⫂∧≮⫘↔0=≮⫘↔-111011001","layer":1},{"info":"≮⫘↔-1010101111100001111101000100⨎≮⫘↔-111011001=≮⫘↔-111011001","layer":0}]}
{"id":496,"expression_no_base_symbol":"(∥⊫($4697$≎⊠⪸$4585$⪨≂(∥⊫$3032$)))⋫","expression":"(∥⊫(≮⫘↔1001001011001≎⊠⪸≮⫘↔1000111101001⪨≂(∥⊫≮⫘↔101111011000)))⋫","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":284,"operation_count":5,"complexity_ratio":56.8,"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":4697,"base":2},"right_expr":{"type":"numeric_atoms","value":4585,"base":2}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3032,"base":2}}}}},"used_operators":["JL8yIekQnl","P8v4zCKN1o","sdazOOVcIp","bJkvcejdHO"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4697","layer":4},{"info":"number node, value=4585","layer":4},{"info":"compute binary expreesion, left_input=4697, right_input=4585, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1216050","layer":3},{"info":"number node, value=3032","layer":4},{"info":"compute unary expreesion, input=3032, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3900","layer":3},{"info":"compute binary expreesion, left_input=1216050, right_input=3900, 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=2424402","layer":2},{"info":"compute unary expreesion, input=2424402, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2425270","layer":1},{"info":"compute unary expreesion, input=2425270, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(∥⊫(≮⫘↔1001001011001≎⊠⪸≮⫘↔1000111101001⪨≂(∥⊫≮⫘↔101111011000)))⋫=NaN","reverse_text":"NaN=(∥⊫(≮⫘↔1001001011001≎⊠⪸≮⫘↔1000111101001⪨≂(∥⊫≮⫘↔101111011000)))⋫","cot":[{"info":"≮⫘↔1001001011001≎⊠⪸≮⫘↔1000111101001=≮⫘↔100101000111000110010","layer":3},{"info":"∥⊫≮⫘↔101111011000=≮⫘↔111100111100","layer":3},{"info":"≮⫘↔100101000111000110010⪨≂≮⫘↔111100111100=≮⫘↔1001001111111001010010","layer":2},{"info":"∥⊫≮⫘↔1001001111111001010010=≮⫘↔1001010000000110110110","layer":1},{"info":"≮⫘↔1001010000000110110110⋫=NaN","layer":0}]}
{"id":497,"expression_no_base_symbol":"(($3847$⋷$1415$)⪘⫢(≦∁$8465$)⨵⪆($5706$⋳⪒$3469$+$2509$∼$1182$))⨽(⊄⩳↩((∥⊫$2711$)⇋≉))","expression":"((≮⫘↔111100000111⋷≮⫘↔10110000111)⪘⫢(≦∁≮⫘↔10000100010001)⨵⪆(≮⫘↔1011001001010⋳⪒≮⫘↔110110001101+≮⫘↔100111001101∼≮⫘↔10010011110))⨽(⊄⩳↩((∥⊫≮⫘↔101010010111)⇋≉))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":252,"operation_count":11,"complexity_ratio":22.90909090909091,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3847,"base":2},"right_expr":{"type":"numeric_atoms","value":1415,"base":2}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":8465,"base":2}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5706,"base":2},"right_expr":{"type":"numeric_atoms","value":3469,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2509,"base":2},"right_expr":{"type":"numeric_atoms","value":1182,"base":2}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2711,"base":2}}}}},"used_operators":["8HhzD0ZcuI","2DQ55sFlQl","oacrs7FA3X","23Mk6UjR3U","9ICcGScMcE","W4YGzv6Whe","12rbrZMWeM","DyGG3AbaNP","8w2t5hMYqp","XIabStNQrY","P8v4zCKN1o"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-10111010101010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3847","layer":4},{"info":"number node, value=1415","layer":4},{"info":"compute binary expreesion, left_input=3847, right_input=1415, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1017","layer":3},{"info":"number node, value=8465","layer":4},{"info":"compute unary expreesion, input=8465, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=8465","layer":3},{"info":"compute binary expreesion, left_input=-1017, right_input=8465, 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":"number node, value=5706","layer":4},{"info":"number node, value=3469","layer":4},{"info":"compute binary expreesion, left_input=5706, right_input=3469, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7656","layer":3},{"info":"number node, value=2509","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=2509, right_input=1182, 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=7656, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2711","layer":4},{"info":"compute unary expreesion, input=2711, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3579","layer":3},{"info":"compute unary expreesion, input=3579, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=7060","layer":2},{"info":"compute unary expreesion, input=7060, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-21180","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-21180, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11946","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111100000111⋷≮⫘↔10110000111)⪘⫢(≦∁≮⫘↔10000100010001)⨵⪆(≮⫘↔1011001001010⋳⪒≮⫘↔110110001101+≮⫘↔100111001101∼≮⫘↔10010011110))⨽(⊄⩳↩((∥⊫≮⫘↔101010010111)⇋≉))=≮⫘↔-10111010101010","reverse_text":"≮⫘↔-10111010101010=((≮⫘↔111100000111⋷≮⫘↔10110000111)⪘⫢(≦∁≮⫘↔10000100010001)⨵⪆(≮⫘↔1011001001010⋳⪒≮⫘↔110110001101+≮⫘↔100111001101∼≮⫘↔10010011110))⨽(⊄⩳↩((∥⊫≮⫘↔101010010111)⇋≉))","cot":[{"info":"≮⫘↔111100000111⋷≮⫘↔10110000111=≮⫘↔-1111111001","layer":3},{"info":"≦∁≮⫘↔10000100010001=≮⫘↔10000100010001","layer":3},{"info":"≮⫘↔-1111111001⪘⫢≮⫘↔10000100010001=≮⫘↔0","layer":2},{"info":"≮⫘↔1011001001010⋳⪒≮⫘↔110110001101=≮⫘↔1110111101000","layer":3},{"info":"≮⫘↔100111001101∼≮⫘↔10010011110=NaN","layer":3},{"info":"≮⫘↔1110111101000+NaN=NaN","layer":2},{"info":"≮⫘↔0⨵⪆NaN=≮⫘↔10100000","layer":1},{"info":"∥⊫≮⫘↔101010010111=≮⫘↔110111111011","layer":3},{"info":"≮⫘↔110111111011⇋≉=≮⫘↔1101110010100","layer":2},{"info":"⊄⩳↩≮⫘↔1101110010100=≮⫘↔-101001010111100","layer":1},{"info":"≮⫘↔10100000⨽≮⫘↔-101001010111100=≮⫘↔-10111010101010","layer":0}]}
{"id":498,"expression_no_base_symbol":"(⨈⫕(($2301$/$4193$)⊪))∸","expression":"(⨈⫕((≮⫘↔100011111101/≮⫘↔1000001100001)⊪))∸","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":577,"operation_count":4,"complexity_ratio":144.25,"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":2301,"base":2},"right_expr":{"type":"numeric_atoms","value":4193,"base":2}}}}},"used_operators":["o20kRiQErp","megm06wKyl","zVYPLywUTj","XhwjNDsVaA"],"dependent_operators":["tmPS8pqC7x","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z"],"result":"≮⫘↔10110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2301","layer":4},{"info":"number node, value=4193","layer":4},{"info":"compute binary expreesion, left_input=2301, right_input=4193, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":2,"result_base":2,"text":"(⨈⫕((≮⫘↔100011111101/≮⫘↔1000001100001)⊪))∸=≮⫘↔10110001","reverse_text":"≮⫘↔10110001=(⨈⫕((≮⫘↔100011111101/≮⫘↔1000001100001)⊪))∸","cot":[{"info":"≮⫘↔100011111101/≮⫘↔1000001100001=≮⫘↔0","layer":3},{"info":"≮⫘↔0⊪=≮⫘↔0","layer":2},{"info":"⨈⫕≮⫘↔0=≮⫘↔-10101","layer":1},{"info":"≮⫘↔-10101∸=≮⫘↔10110001","layer":0}]}
{"id":499,"expression_no_base_symbol":"≦∁(↩($3391$⨎$6164$*($1144$⇋≉)))","expression":"≦∁(↩(≮⫘↔110100111111⨎≮⫘↔1100000010100*(≮⫘↔10001111000⇋≉)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":361008,"operation_count":5,"complexity_ratio":72201.6,"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":3391,"base":2},"right_expr":{"type":"numeric_atoms","value":6164,"base":2}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1144,"base":2}}}}},"used_operators":["9ICcGScMcE","jLgFTUHLKL","9HNa5Wba9A","rJVOvQCfKK","XIabStNQrY"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3391","layer":4},{"info":"number node, value=6164","layer":4},{"info":"compute binary expreesion, left_input=3391, right_input=6164, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6164","layer":3},{"info":"number node, value=1144","layer":4},{"info":"compute unary expreesion, input=1144, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2190","layer":3},{"info":"compute binary expreesion, left_input=6164, right_input=2190, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13499160","layer":2},{"info":"compute unary expreesion, input=13499160, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-107990500","layer":1},{"info":"compute unary expreesion, input=-107990500, 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":2,"result_base":2,"text":"≦∁(↩(≮⫘↔110100111111⨎≮⫘↔1100000010100*(≮⫘↔10001111000⇋≉)))=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=≦∁(↩(≮⫘↔110100111111⨎≮⫘↔1100000010100*(≮⫘↔10001111000⇋≉)))","cot":[{"info":"≮⫘↔110100111111⨎≮⫘↔1100000010100=≮⫘↔1100000010100","layer":3},{"info":"≮⫘↔10001111000⇋≉=≮⫘↔100010001110","layer":3},{"info":"≮⫘↔1100000010100*≮⫘↔100010001110=≮⫘↔110011011111101100011000","layer":2},{"info":"↩≮⫘↔110011011111101100011000=≮⫘↔-110011011111100110111100100","layer":1},{"info":"≦∁≮⫘↔-110011011111100110111100100=≮⫘↔1000011","layer":0}]}
{"id":500,"expression_no_base_symbol":"((∂$1151$)≎⊠⪸$1128$⪮%⊝$6670$∲⫓(∂$1374$)⩚⊴⇥$4994$⋝⋈⪟$3392$)⇼⇔∾($2182$≹⇙⪍$3269$⇷($3103$⪄$2493$)⪒($3921$⪨≂$7934$)⋓($1579$+⇶⊼$7701$))","expression":"((∂≮⫘↔10001111111)≎⊠⪸≮⫘↔10001101000⪮%⊝≮⫘↔1101000001110∲⫓(∂≮⫘↔10101011110)⩚⊴⇥≮⫘↔1001110000010⋝⋈⪟≮⫘↔110101000000)⇼⇔∾(≮⫘↔100010000110≹⇙⪍≮⫘↔110011000101⇷(≮⫘↔110000011111⪄≮⫘↔100110111101)⪒(≮⫘↔111101010001⪨≂≮⫘↔1111011111110)⋓(≮⫘↔11000101011+⇶⊼≮⫘↔1111000010101))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":160,"operation_count":15,"complexity_ratio":10.666666666666666,"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":1151,"base":2}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1128,"base":2},"right_expr":{"type":"numeric_atoms","value":6670,"base":2}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1374,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4994,"base":2},"right_expr":{"type":"numeric_atoms","value":3392,"base":2}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2182,"base":2},"right_expr":{"type":"numeric_atoms","value":3269,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3103,"base":2},"right_expr":{"type":"numeric_atoms","value":2493,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3921,"base":2},"right_expr":{"type":"numeric_atoms","value":7934,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1579,"base":2},"right_expr":{"type":"numeric_atoms","value":7701,"base":2}}}}},"used_operators":["tifHPKVTfV","i8ToyICDmI","bJkvcejdHO","Uaa54Peajs","IWmyXbctLI","NTOWxs364D","2DDjHMKMc0","f6k1SAg4EE","mp7IySMOzn","AHs5Up7iyr","SUmda5xLS4","T2fj7uvVaJ","sdazOOVcIp","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1151","layer":4},{"info":"compute unary expreesion, input=1151, 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=1128","layer":4},{"info":"number node, value=6670","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=6670, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2572","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2572, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":2},{"info":"number node, value=1374","layer":4},{"info":"compute unary expreesion, input=1374, 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=4994","layer":4},{"info":"number node, value=3392","layer":4},{"info":"compute binary expreesion, left_input=4994, right_input=3392, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4994","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4994, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=2182","layer":4},{"info":"number node, value=3269","layer":4},{"info":"compute binary expreesion, left_input=2182, right_input=3269, 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=3103","layer":4},{"info":"number node, value=2493","layer":4},{"info":"compute binary expreesion, left_input=3103, right_input=2493, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-465305","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-465305, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=3921","layer":4},{"info":"number node, value=7934","layer":4},{"info":"compute binary expreesion, left_input=3921, right_input=7934, 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=-7924","layer":3},{"info":"number node, value=1579","layer":4},{"info":"number node, value=7701","layer":4},{"info":"compute binary expreesion, left_input=1579, right_input=7701, 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=-7924, 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=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((∂≮⫘↔10001111111)≎⊠⪸≮⫘↔10001101000⪮%⊝≮⫘↔1101000001110∲⫓(∂≮⫘↔10101011110)⩚⊴⇥≮⫘↔1001110000010⋝⋈⪟≮⫘↔110101000000)⇼⇔∾(≮⫘↔100010000110≹⇙⪍≮⫘↔110011000101⇷(≮⫘↔110000011111⪄≮⫘↔100110111101)⪒(≮⫘↔111101010001⪨≂≮⫘↔1111011111110)⋓(≮⫘↔11000101011+⇶⊼≮⫘↔1111000010101))=NaN","reverse_text":"NaN=((∂≮⫘↔10001111111)≎⊠⪸≮⫘↔10001101000⪮%⊝≮⫘↔1101000001110∲⫓(∂≮⫘↔10101011110)⩚⊴⇥≮⫘↔1001110000010⋝⋈⪟≮⫘↔110101000000)⇼⇔∾(≮⫘↔100010000110≹⇙⪍≮⫘↔110011000101⇷(≮⫘↔110000011111⪄≮⫘↔100110111101)⪒(≮⫘↔111101010001⪨≂≮⫘↔1111011111110)⋓(≮⫘↔11000101011+⇶⊼≮⫘↔1111000010101))","cot":[{"info":"∂≮⫘↔10001111111=NaN","layer":3},{"info":"≮⫘↔10001101000⪮%⊝≮⫘↔1101000001110=≮⫘↔101000001100","layer":3},{"info":"NaN≎⊠⪸≮⫘↔101000001100=NaN","layer":2},{"info":"∂≮⫘↔10101011110=NaN","layer":3},{"info":"≮⫘↔1001110000010⋝⋈⪟≮⫘↔110101000000=≮⫘↔1001110000010","layer":3},{"info":"NaN⩚⊴⇥≮⫘↔1001110000010=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"≮⫘↔100010000110≹⇙⪍≮⫘↔110011000101=NaN","layer":3},{"info":"≮⫘↔110000011111⪄≮⫘↔100110111101=≮⫘↔-1110001100110011001","layer":3},{"info":"NaN⇷≮⫘↔-1110001100110011001=NaN","layer":2},{"info":"≮⫘↔111101010001⪨≂≮⫘↔1111011111110=≮⫘↔-1111011110100","layer":3},{"info":"≮⫘↔11000101011+⇶⊼≮⫘↔1111000010101=NaN","layer":3},{"info":"≮⫘↔-1111011110100⋓NaN=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":501,"expression_no_base_symbol":"(($3404$+$1334$)∲⫓$4099$⨓$3951$)⇷(($8241$∧)↺($4210$⪨≂$8927$))*($1221$⋝⋈⪟$1638$⫥∨⫟$6791$≧⫂∧$2924$)⋓((↥$4376$)⩨$6759$⋳⪒$1360$)","expression":"((≮⫘↔110101001100+≮⫘↔10100110110)∲⫓≮⫘↔1000000000011⨓≮⫘↔111101101111)⇷((≮⫘↔10000000110001∧)↺(≮⫘↔1000001110010⪨≂≮⫘↔10001011011111))*(≮⫘↔10011000101⋝⋈⪟≮⫘↔11001100110⫥∨⫟≮⫘↔1101010000111≧⫂∧≮⫘↔101101101100)⋓((↥≮⫘↔1000100011000)⩨≮⫘↔1101001100111⋳⪒≮⫘↔10101010000)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":70868,"operation_count":15,"complexity_ratio":4724.533333333334,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3404,"base":2},"right_expr":{"type":"numeric_atoms","value":1334,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4099,"base":2},"right_expr":{"type":"numeric_atoms","value":3951,"base":2}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":8241,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4210,"base":2},"right_expr":{"type":"numeric_atoms","value":8927,"base":2}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1221,"base":2},"right_expr":{"type":"numeric_atoms","value":1638,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6791,"base":2},"right_expr":{"type":"numeric_atoms","value":2924,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4376,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6759,"base":2},"right_expr":{"type":"numeric_atoms","value":1360,"base":2}}}}},"used_operators":["9HNa5Wba9A","mp7IySMOzn","i8ToyICDmI","W4YGzv6Whe","3ViojmjbAp","7j4O788W3g","z63VuFQld9","sdazOOVcIp","T2fj7uvVaJ","KYD54nUTWz","2DDjHMKMc0","Ph9nP6C5qx","2DlMacCsIx","A8NUZmVepG","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3404","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=3404, right_input=1334, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4738","layer":3},{"info":"number node, value=4099","layer":4},{"info":"number node, value=3951","layer":4},{"info":"compute binary expreesion, left_input=4099, right_input=3951, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3954","layer":3},{"info":"compute binary expreesion, left_input=4738, right_input=-3954, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=4738","layer":2},{"info":"number node, value=8241","layer":4},{"info":"compute unary expreesion, input=8241, 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=4210","layer":4},{"info":"number node, value=8927","layer":4},{"info":"compute binary expreesion, left_input=4210, right_input=8927, 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=-9332","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9332, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-9332","layer":2},{"info":"compute binary expreesion, left_input=4738, right_input=-9332, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=1221","layer":4},{"info":"number node, value=1638","layer":4},{"info":"compute binary expreesion, left_input=1221, right_input=1638, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1221","layer":3},{"info":"number node, value=6791","layer":4},{"info":"number node, value=2924","layer":4},{"info":"compute binary expreesion, left_input=6791, right_input=2924, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2451","layer":3},{"info":"compute binary expreesion, left_input=1221, right_input=2451, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=4376","layer":4},{"info":"compute unary expreesion, input=4376, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=41","layer":3},{"info":"number node, value=6759","layer":4},{"info":"number node, value=1360","layer":4},{"info":"compute binary expreesion, left_input=6759, right_input=1360, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=11871","layer":3},{"info":"compute binary expreesion, left_input=41, right_input=11871, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-867","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-867, 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":2,"result_base":2,"text":"((≮⫘↔110101001100+≮⫘↔10100110110)∲⫓≮⫘↔1000000000011⨓≮⫘↔111101101111)⇷((≮⫘↔10000000110001∧)↺(≮⫘↔1000001110010⪨≂≮⫘↔10001011011111))*(≮⫘↔10011000101⋝⋈⪟≮⫘↔11001100110⫥∨⫟≮⫘↔1101010000111≧⫂∧≮⫘↔101101101100)⋓((↥≮⫘↔1000100011000)⩨≮⫘↔1101001100111⋳⪒≮⫘↔10101010000)=NaN","reverse_text":"NaN=((≮⫘↔110101001100+≮⫘↔10100110110)∲⫓≮⫘↔1000000000011⨓≮⫘↔111101101111)⇷((≮⫘↔10000000110001∧)↺(≮⫘↔1000001110010⪨≂≮⫘↔10001011011111))*(≮⫘↔10011000101⋝⋈⪟≮⫘↔11001100110⫥∨⫟≮⫘↔1101010000111≧⫂∧≮⫘↔101101101100)⋓((↥≮⫘↔1000100011000)⩨≮⫘↔1101001100111⋳⪒≮⫘↔10101010000)","cot":[{"info":"≮⫘↔110101001100+≮⫘↔10100110110=≮⫘↔1001010000010","layer":3},{"info":"≮⫘↔1000000000011⨓≮⫘↔111101101111=≮⫘↔-111101110010","layer":3},{"info":"≮⫘↔1001010000010∲⫓≮⫘↔-111101110010=≮⫘↔1001010000010","layer":2},{"info":"≮⫘↔10000000110001∧=NaN","layer":3},{"info":"≮⫘↔1000001110010⪨≂≮⫘↔10001011011111=≮⫘↔-10010001110100","layer":3},{"info":"NaN↺≮⫘↔-10010001110100=≮⫘↔-10010001110100","layer":2},{"info":"≮⫘↔1001010000010⇷≮⫘↔-10010001110100=NaN","layer":1},{"info":"≮⫘↔10011000101⋝⋈⪟≮⫘↔11001100110=≮⫘↔10011000101","layer":3},{"info":"≮⫘↔1101010000111≧⫂∧≮⫘↔101101101100=≮⫘↔100110010011","layer":3},{"info":"≮⫘↔10011000101⫥∨⫟≮⫘↔100110010011=NaN","layer":2},{"info":"↥≮⫘↔1000100011000=≮⫘↔101001","layer":3},{"info":"≮⫘↔1101001100111⋳⪒≮⫘↔10101010000=≮⫘↔10111001011111","layer":3},{"info":"≮⫘↔101001⩨≮⫘↔10111001011111=≮⫘↔-1101100011","layer":2},{"info":"NaN⋓≮⫘↔-1101100011=≮⫘↔0","layer":1},{"info":"NaN*≮⫘↔0=NaN","layer":0}]}
{"id":502,"expression_no_base_symbol":"((⋗⩬⋾$7360$)⨪↰⇹($1322$↙$2924$)∸)⨽(($4305$↙$5121$)⩠)⩷∴($5636$⪘⫢$6007$)⪮%⊝($1751$↙$1355$)","expression":"((⋗⩬⋾≮⫘↔1110011000000)⨪↰⇹(≮⫘↔10100101010↙≮⫘↔101101101100)∸)⨽((≮⫘↔1000011010001↙≮⫘↔1010000000001)⩠)⩷∴(≮⫘↔1011000000100⪘⫢≮⫘↔1011101110111)⪮%⊝(≮⫘↔11011010111↙≮⫘↔10101001011)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":31902,"operation_count":11,"complexity_ratio":2900.181818181818,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":7360,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1322,"base":2},"right_expr":{"type":"numeric_atoms","value":2924,"base":2}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4305,"base":2},"right_expr":{"type":"numeric_atoms","value":5121,"base":2}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5636,"base":2},"right_expr":{"type":"numeric_atoms","value":6007,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1751,"base":2},"right_expr":{"type":"numeric_atoms","value":1355,"base":2}}}}},"used_operators":["8HhzD0ZcuI","o20kRiQErp","tmPS8pqC7x","DpFCA1CohY","yyfyN0ffXY","9FxExcQeMw","sJAwomhLZr","IWmyXbctLI","oacrs7FA3X"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"≮⫘↔-1001111110011010111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7360","layer":4},{"info":"compute unary expreesion, input=7360, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-22080","layer":3},{"info":"number node, value=1322","layer":4},{"info":"number node, value=2924","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=2924, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8772","layer":3},{"info":"compute binary expreesion, left_input=-22080, right_input=-8772, 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=-22080","layer":2},{"info":"compute unary expreesion, input=-22080, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=4305","layer":4},{"info":"number node, value=5121","layer":4},{"info":"compute binary expreesion, left_input=4305, right_input=5121, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15363","layer":3},{"info":"compute unary expreesion, input=-15363, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=61661","layer":2},{"info":"number node, value=5636","layer":4},{"info":"number node, value=6007","layer":4},{"info":"compute binary expreesion, left_input=5636, right_input=6007, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11148","layer":3},{"info":"number node, value=1751","layer":4},{"info":"number node, value=1355","layer":4},{"info":"compute binary expreesion, left_input=1751, right_input=1355, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4065","layer":3},{"info":"compute binary expreesion, left_input=11148, right_input=-4065, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=22612","layer":2},{"info":"compute binary expreesion, left_input=61661, right_input=22612, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=78066","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=78066, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-326871","layer":0}],"base":2,"result_base":2,"text":"((⋗⩬⋾≮⫘↔1110011000000)⨪↰⇹(≮⫘↔10100101010↙≮⫘↔101101101100)∸)⨽((≮⫘↔1000011010001↙≮⫘↔1010000000001)⩠)⩷∴(≮⫘↔1011000000100⪘⫢≮⫘↔1011101110111)⪮%⊝(≮⫘↔11011010111↙≮⫘↔10101001011)=≮⫘↔-1001111110011010111","reverse_text":"≮⫘↔-1001111110011010111=((⋗⩬⋾≮⫘↔1110011000000)⨪↰⇹(≮⫘↔10100101010↙≮⫘↔101101101100)∸)⨽((≮⫘↔1000011010001↙≮⫘↔1010000000001)⩠)⩷∴(≮⫘↔1011000000100⪘⫢≮⫘↔1011101110111)⪮%⊝(≮⫘↔11011010111↙≮⫘↔10101001011)","cot":[{"info":"⋗⩬⋾≮⫘↔1110011000000=≮⫘↔-101011001000000","layer":3},{"info":"≮⫘↔10100101010↙≮⫘↔101101101100=≮⫘↔-10001001000100","layer":3},{"info":"≮⫘↔-101011001000000⨪↰⇹≮⫘↔-10001001000100=≮⫘↔-101011001000000","layer":2},{"info":"≮⫘↔-101011001000000∸=≮⫘↔10110001","layer":1},{"info":"≮⫘↔1000011010001↙≮⫘↔1010000000001=≮⫘↔-11110000000011","layer":3},{"info":"≮⫘↔-11110000000011⩠=≮⫘↔1111000011011101","layer":2},{"info":"≮⫘↔1011000000100⪘⫢≮⫘↔1011101110111=≮⫘↔10101110001100","layer":3},{"info":"≮⫘↔11011010111↙≮⫘↔10101001011=≮⫘↔-111111100001","layer":3},{"info":"≮⫘↔10101110001100⪮%⊝≮⫘↔-111111100001=≮⫘↔101100001010100","layer":2},{"info":"≮⫘↔1111000011011101⩷∴≮⫘↔101100001010100=≮⫘↔10011000011110010","layer":1},{"info":"≮⫘↔10110001⨽≮⫘↔10011000011110010=≮⫘↔-1001111110011010111","layer":0}]}
{"id":503,"expression_no_base_symbol":"($3011$⊭∹↮)⨪↰⇹($1744$≦≮≮)≧⫂∧(($8748$⋷$1143$)≭($3370$⩠))⪄($3647$⋥≓≎$1569$⨳⩥⨓$3088$⇷$1117$)≧⫂∧(($6355$⋳⪒$1025$)⋓($1615$-$1605$))","expression":"(≮⫘↔101111000011⊭∹↮)⨪↰⇹(≮⫘↔11011010000≦≮≮)≧⫂∧((≮⫘↔10001000101100⋷≮⫘↔10001110111)≭(≮⫘↔110100101010⩠))⪄(≮⫘↔111000111111⋥≓≎≮⫘↔11000100001⨳⩥⨓≮⫘↔110000010000⇷≮⫘↔10001011101)≧⫂∧((≮⫘↔1100011010011⋳⪒≮⫘↔10000000001)⋓(≮⫘↔11001001111-≮⫘↔11001000101))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":49414,"operation_count":15,"complexity_ratio":3294.266666666667,"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":3011,"base":2}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1744,"base":2}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":8748,"base":2},"right_expr":{"type":"numeric_atoms","value":1143,"base":2}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3370,"base":2}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3647,"base":2},"right_expr":{"type":"numeric_atoms","value":1569,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3088,"base":2},"right_expr":{"type":"numeric_atoms","value":1117,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6355,"base":2},"right_expr":{"type":"numeric_atoms","value":1025,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1615,"base":2},"right_expr":{"type":"numeric_atoms","value":1605,"base":2}}}}},"used_operators":["SUmda5xLS4","Ph9nP6C5qx","tmPS8pqC7x","xNBdhnnwKq","D4vGDi5EA2","rxpJgHHUmx","23Mk6UjR3U","sJAwomhLZr","nCS4ZIUYfx","Qy55tPpLXF","mp7IySMOzn","T2fj7uvVaJ","12rbrZMWeM","rysDP5nf3Z"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔111110001011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3011","layer":4},{"info":"compute unary expreesion, input=3011, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6022","layer":3},{"info":"number node, value=1744","layer":4},{"info":"compute unary expreesion, input=1744, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-5232","layer":3},{"info":"compute binary expreesion, left_input=6022, right_input=-5232, 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=6022","layer":2},{"info":"number node, value=8748","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=8748, right_input=1143, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-6462","layer":3},{"info":"number node, value=3370","layer":4},{"info":"compute unary expreesion, input=3370, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-6462, right_input=0, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=-22","layer":2},{"info":"compute binary expreesion, left_input=6022, right_input=-22, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-495","layer":1},{"info":"number node, value=3647","layer":4},{"info":"number node, value=1569","layer":4},{"info":"compute binary expreesion, left_input=3647, right_input=1569, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-476","layer":3},{"info":"number node, value=3088","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=3088, right_input=1117, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2234","layer":3},{"info":"compute binary expreesion, left_input=-476, right_input=2234, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2710","layer":2},{"info":"number node, value=6355","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=6355, right_input=1025, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=11398","layer":3},{"info":"number node, value=1615","layer":4},{"info":"number node, value=1605","layer":4},{"info":"compute binary expreesion, left_input=1615, right_input=1605, op_id = rysDP5nf3Z binary_op_definition= 'None', output=10","layer":3},{"info":"compute binary expreesion, left_input=11398, right_input=10, 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=2710, 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 binary expreesion, left_input=-495, right_input=-473, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101111000011⊭∹↮)⨪↰⇹(≮⫘↔11011010000≦≮≮)≧⫂∧((≮⫘↔10001000101100⋷≮⫘↔10001110111)≭(≮⫘↔110100101010⩠))⪄(≮⫘↔111000111111⋥≓≎≮⫘↔11000100001⨳⩥⨓≮⫘↔110000010000⇷≮⫘↔10001011101)≧⫂∧((≮⫘↔1100011010011⋳⪒≮⫘↔10000000001)⋓(≮⫘↔11001001111-≮⫘↔11001000101))=≮⫘↔111110001011","reverse_text":"≮⫘↔111110001011=(≮⫘↔101111000011⊭∹↮)⨪↰⇹(≮⫘↔11011010000≦≮≮)≧⫂∧((≮⫘↔10001000101100⋷≮⫘↔10001110111)≭(≮⫘↔110100101010⩠))⪄(≮⫘↔111000111111⋥≓≎≮⫘↔11000100001⨳⩥⨓≮⫘↔110000010000⇷≮⫘↔10001011101)≧⫂∧((≮⫘↔1100011010011⋳⪒≮⫘↔10000000001)⋓(≮⫘↔11001001111-≮⫘↔11001000101))","cot":[{"info":"≮⫘↔101111000011⊭∹↮=≮⫘↔1011110000110","layer":3},{"info":"≮⫘↔11011010000≦≮≮=≮⫘↔-1010001110000","layer":3},{"info":"≮⫘↔1011110000110⨪↰⇹≮⫘↔-1010001110000=≮⫘↔1011110000110","layer":2},{"info":"≮⫘↔10001000101100⋷≮⫘↔10001110111=≮⫘↔-1100100111110","layer":3},{"info":"≮⫘↔110100101010⩠=≮⫘↔0","layer":3},{"info":"≮⫘↔-1100100111110≭≮⫘↔0=≮⫘↔-10110","layer":2},{"info":"≮⫘↔1011110000110≧⫂∧≮⫘↔-10110=≮⫘↔-111101111","layer":1},{"info":"≮⫘↔111000111111⋥≓≎≮⫘↔11000100001=≮⫘↔-111011100","layer":3},{"info":"≮⫘↔110000010000⇷≮⫘↔10001011101=≮⫘↔100010111010","layer":3},{"info":"≮⫘↔-111011100⨳⩥⨓≮⫘↔100010111010=≮⫘↔101010010110","layer":2},{"info":"≮⫘↔1100011010011⋳⪒≮⫘↔10000000001=≮⫘↔10110010000110","layer":3},{"info":"≮⫘↔11001001111-≮⫘↔11001000101=≮⫘↔1010","layer":3},{"info":"≮⫘↔10110010000110⋓≮⫘↔1010=≮⫘↔0","layer":2},{"info":"≮⫘↔101010010110≧⫂∧≮⫘↔0=≮⫘↔-111011001","layer":1},{"info":"≮⫘↔-111101111⪄≮⫘↔-111011001=≮⫘↔111110001011","layer":0}]}
{"id":504,"expression_no_base_symbol":"($2102$/$3286$⪨≂$1109$+⇶⊼$1140$)⩷∴($3828$⪘⫢$5833$⩤)%($1121$≹⇙⪍$1310$⩨(↣≠⋷$1083$))≎⊠⪸(↯⪼$1030$)⨟⋌⩍($2010$≋⫹)","expression":"(≮⫘↔100000110110/≮⫘↔110011010110⪨≂≮⫘↔10001010101+⇶⊼≮⫘↔10001110100)⩷∴(≮⫘↔111011110100⪘⫢≮⫘↔1011011001001⩤)%(≮⫘↔10001100001≹⇙⪍≮⫘↔10100011110⩨(↣≠⋷≮⫘↔10000111011))≎⊠⪸(↯⪼≮⫘↔10000000110)⨟⋌⩍(≮⫘↔11111011010≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":84,"operation_count":14,"complexity_ratio":6.0,"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":2102,"base":2},"right_expr":{"type":"numeric_atoms","value":3286,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1109,"base":2},"right_expr":{"type":"numeric_atoms","value":1140,"base":2}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3828,"base":2},"right_expr":{"type":"numeric_atoms","value":5833,"base":2}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1121,"base":2},"right_expr":{"type":"numeric_atoms","value":1310,"base":2}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1083,"base":2}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1030,"base":2}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2010,"base":2}}}}},"used_operators":["k8jYdgA6NY","9FxExcQeMw","sdazOOVcIp","XhwjNDsVaA","TpPTUOHfaN","Z2TMIBDE3Q","oacrs7FA3X","bJkvcejdHO","2DlMacCsIx","AHs5Up7iyr","Asc51vEJeQ","rGHVDoGpnC","8jW3W4yZS5","N41Kp7NANJ"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","XhwjNDsVaA","AHs5Up7iyr","Tcnh7f0tEr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2102","layer":4},{"info":"number node, value=3286","layer":4},{"info":"compute binary expreesion, left_input=2102, right_input=3286, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1109","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=1140, 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=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":2},{"info":"number node, value=3828","layer":4},{"info":"number node, value=5833","layer":4},{"info":"compute binary expreesion, left_input=3828, right_input=5833, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7532","layer":3},{"info":"compute unary expreesion, input=7532, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-7532","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7532, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=1121","layer":4},{"info":"number node, value=1310","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=1310, 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=1083","layer":4},{"info":"compute unary expreesion, input=1083, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=1030","layer":4},{"info":"compute unary expreesion, input=1030, 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=2010","layer":4},{"info":"compute unary expreesion, input=2010, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4020","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-4020, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100000110110/≮⫘↔110011010110⪨≂≮⫘↔10001010101+⇶⊼≮⫘↔10001110100)⩷∴(≮⫘↔111011110100⪘⫢≮⫘↔1011011001001⩤)%(≮⫘↔10001100001≹⇙⪍≮⫘↔10100011110⩨(↣≠⋷≮⫘↔10000111011))≎⊠⪸(↯⪼≮⫘↔10000000110)⨟⋌⩍(≮⫘↔11111011010≋⫹)=NaN","reverse_text":"NaN=(≮⫘↔100000110110/≮⫘↔110011010110⪨≂≮⫘↔10001010101+⇶⊼≮⫘↔10001110100)⩷∴(≮⫘↔111011110100⪘⫢≮⫘↔1011011001001⩤)%(≮⫘↔10001100001≹⇙⪍≮⫘↔10100011110⩨(↣≠⋷≮⫘↔10000111011))≎⊠⪸(↯⪼≮⫘↔10000000110)⨟⋌⩍(≮⫘↔11111011010≋⫹)","cot":[{"info":"≮⫘↔100000110110/≮⫘↔110011010110=≮⫘↔0","layer":3},{"info":"≮⫘↔10001010101+⇶⊼≮⫘↔10001110100=NaN","layer":3},{"info":"≮⫘↔0⪨≂NaN=NaN","layer":2},{"info":"≮⫘↔111011110100⪘⫢≮⫘↔1011011001001=≮⫘↔1110101101100","layer":3},{"info":"≮⫘↔1110101101100⩤=≮⫘↔-1110101101100","layer":2},{"info":"NaN⩷∴≮⫘↔-1110101101100=NaN","layer":1},{"info":"≮⫘↔10001100001≹⇙⪍≮⫘↔10100011110=NaN","layer":3},{"info":"↣≠⋷≮⫘↔10000111011=NaN","layer":3},{"info":"NaN⩨NaN=NaN","layer":2},{"info":"↯⪼≮⫘↔10000000110=≮⫘↔-10101","layer":3},{"info":"≮⫘↔11111011010≋⫹=≮⫘↔-111110110100","layer":3},{"info":"≮⫘↔-10101⨟⋌⩍≮⫘↔-111110110100=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=≮⫘↔1000011","layer":1},{"info":"NaN%≮⫘↔1000011=NaN","layer":0}]}
{"id":505,"expression_no_base_symbol":"(($1035$⩚⊴⇥$1180$↺$3879$⨰$1835$)⋳⪒(∂($3192$⫡⨏$2743$)))↬((⨵≀≌($3401$⨸⪁$6639$))∸)","expression":"((≮⫘↔10000001011⩚⊴⇥≮⫘↔10010011100↺≮⫘↔111100100111⨰≮⫘↔11100101011)⋳⪒(∂(≮⫘↔110001111000⫡⨏≮⫘↔101010110111)))↬((⨵≀≌(≮⫘↔110101001001⨸⪁≮⫘↔1100111101111))∸)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":210,"operation_count":10,"complexity_ratio":21.0,"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":1035,"base":2},"right_expr":{"type":"numeric_atoms","value":1180,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3879,"base":2},"right_expr":{"type":"numeric_atoms","value":1835,"base":2}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3192,"base":2},"right_expr":{"type":"numeric_atoms","value":2743,"base":2}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3401,"base":2},"right_expr":{"type":"numeric_atoms","value":6639,"base":2}}}}},"used_operators":["B5M0gjZbta","12rbrZMWeM","7j4O788W3g","NTOWxs364D","eewbuw0ToL","Uaa54Peajs","QMFrweE19q","o20kRiQErp","srAu1WTS94","g55IO6H4Gj"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1035","layer":4},{"info":"number node, value=1180","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=1180, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2336","layer":3},{"info":"number node, value=3879","layer":4},{"info":"number node, value=1835","layer":4},{"info":"compute binary expreesion, left_input=3879, right_input=1835, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2054","layer":3},{"info":"compute binary expreesion, left_input=-2336, right_input=2054, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2054","layer":2},{"info":"number node, value=3192","layer":4},{"info":"number node, value=2743","layer":4},{"info":"compute binary expreesion, left_input=3192, right_input=2743, 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=22229","layer":3},{"info":"compute unary expreesion, input=22229, 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=2054, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=3401","layer":4},{"info":"number node, value=6639","layer":4},{"info":"compute binary expreesion, left_input=3401, right_input=6639, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20080","layer":3},{"info":"compute unary expreesion, input=20080, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-60240","layer":2},{"info":"compute unary expreesion, input=-60240, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10000001011⩚⊴⇥≮⫘↔10010011100↺≮⫘↔111100100111⨰≮⫘↔11100101011)⋳⪒(∂(≮⫘↔110001111000⫡⨏≮⫘↔101010110111)))↬((⨵≀≌(≮⫘↔110101001001⨸⪁≮⫘↔1100111101111))∸)=NaN","reverse_text":"NaN=((≮⫘↔10000001011⩚⊴⇥≮⫘↔10010011100↺≮⫘↔111100100111⨰≮⫘↔11100101011)⋳⪒(∂(≮⫘↔110001111000⫡⨏≮⫘↔101010110111)))↬((⨵≀≌(≮⫘↔110101001001⨸⪁≮⫘↔1100111101111))∸)","cot":[{"info":"≮⫘↔10000001011⩚⊴⇥≮⫘↔10010011100=≮⫘↔-100100100000","layer":3},{"info":"≮⫘↔111100100111⨰≮⫘↔11100101011=≮⫘↔100000000110","layer":3},{"info":"≮⫘↔-100100100000↺≮⫘↔100000000110=≮⫘↔100000000110","layer":2},{"info":"≮⫘↔110001111000⫡⨏≮⫘↔101010110111=≮⫘↔101011011010101","layer":3},{"info":"∂≮⫘↔101011011010101=NaN","layer":2},{"info":"≮⫘↔100000000110⋳⪒NaN=NaN","layer":1},{"info":"≮⫘↔110101001001⨸⪁≮⫘↔1100111101111=≮⫘↔100111001110000","layer":3},{"info":"⨵≀≌≮⫘↔100111001110000=≮⫘↔-1110101101010000","layer":2},{"info":"≮⫘↔-1110101101010000∸=≮⫘↔10110001","layer":1},{"info":"NaN↬≮⫘↔10110001=NaN","layer":0}]}
{"id":506,"expression_no_base_symbol":"⊙↵-(($2617$⋓$2153$)⪘⫢($4159$/$2077$)⇼⇔∾($1286$⪒$1369$)≧⫂∧(⊙↵-$6959$))","expression":"⊙↵-((≮⫘↔101000111001⋓≮⫘↔100001101001)⪘⫢(≮⫘↔1000000111111/≮⫘↔100000011101)⇼⇔∾(≮⫘↔10100000110⪒≮⫘↔10101011001)≧⫂∧(⊙↵-≮⫘↔1101100101111))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7541,"operation_count":8,"complexity_ratio":942.625,"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":2617,"base":2},"right_expr":{"type":"numeric_atoms","value":2153,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4159,"base":2},"right_expr":{"type":"numeric_atoms","value":2077,"base":2}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1286,"base":2},"right_expr":{"type":"numeric_atoms","value":1369,"base":2}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":6959,"base":2}}}}},"used_operators":["oWn0xqSxBt","tifHPKVTfV","oacrs7FA3X","T2fj7uvVaJ","XhwjNDsVaA","Ph9nP6C5qx","f6k1SAg4EE"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔11000100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2617","layer":4},{"info":"number node, value=2153","layer":4},{"info":"compute binary expreesion, left_input=2617, right_input=2153, 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=4159","layer":4},{"info":"number node, value=2077","layer":4},{"info":"compute binary expreesion, left_input=4159, right_input=2077, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2, 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":"number node, value=1286","layer":4},{"info":"number node, value=1369","layer":4},{"info":"compute binary expreesion, left_input=1286, right_input=1369, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2655","layer":3},{"info":"number node, value=6959","layer":4},{"info":"compute unary expreesion, input=6959, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-2655, right_input=-1, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-474","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-474, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-474","layer":1},{"info":"compute unary expreesion, input=-474, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":0}],"base":2,"result_base":2,"text":"⊙↵-((≮⫘↔101000111001⋓≮⫘↔100001101001)⪘⫢(≮⫘↔1000000111111/≮⫘↔100000011101)⇼⇔∾(≮⫘↔10100000110⪒≮⫘↔10101011001)≧⫂∧(⊙↵-≮⫘↔1101100101111))=≮⫘↔11000100","reverse_text":"≮⫘↔11000100=⊙↵-((≮⫘↔101000111001⋓≮⫘↔100001101001)⪘⫢(≮⫘↔1000000111111/≮⫘↔100000011101)⇼⇔∾(≮⫘↔10100000110⪒≮⫘↔10101011001)≧⫂∧(⊙↵-≮⫘↔1101100101111))","cot":[{"info":"≮⫘↔101000111001⋓≮⫘↔100001101001=≮⫘↔0","layer":3},{"info":"≮⫘↔1000000111111/≮⫘↔100000011101=≮⫘↔10","layer":3},{"info":"≮⫘↔0⪘⫢≮⫘↔10=≮⫘↔0","layer":2},{"info":"≮⫘↔10100000110⪒≮⫘↔10101011001=≮⫘↔-101001011111","layer":3},{"info":"⊙↵-≮⫘↔1101100101111=≮⫘↔-1","layer":3},{"info":"≮⫘↔-101001011111≧⫂∧≮⫘↔-1=≮⫘↔-111011010","layer":2},{"info":"≮⫘↔0⇼⇔∾≮⫘↔-111011010=≮⫘↔-111011010","layer":1},{"info":"⊙↵-≮⫘↔-111011010=≮⫘↔11000100","layer":0}]}
{"id":507,"expression_no_base_symbol":"(($4844$↺$5727$⇼⇔∾$1348$⪮%⊝$6463$)⨳⩥⨓$2317$⇷$3670$⋝⋈⪟($5560$⋥≓≎$1522$))⪛(⩦⩻⨪($3095$≭$1874$⊉≛↸(⪲⇎$2352$)))","expression":"((≮⫘↔1001011101100↺≮⫘↔1011001011111⇼⇔∾≮⫘↔10101000100⪮%⊝≮⫘↔1100100111111)⨳⩥⨓≮⫘↔100100001101⇷≮⫘↔111001010110⋝⋈⪟(≮⫘↔1010110111000⋥≓≎≮⫘↔10111110010))⪛(⩦⩻⨪(≮⫘↔110000010111≭≮⫘↔11101010010⊉≛↸(⪲⇎≮⫘↔100100110000)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":32479,"operation_count":12,"complexity_ratio":2706.5833333333335,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4844,"base":2},"right_expr":{"type":"numeric_atoms","value":5727,"base":2}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1348,"base":2},"right_expr":{"type":"numeric_atoms","value":6463,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2317,"base":2},"right_expr":{"type":"numeric_atoms","value":3670,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5560,"base":2},"right_expr":{"type":"numeric_atoms","value":1522,"base":2}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3095,"base":2},"right_expr":{"type":"numeric_atoms","value":1874,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2352,"base":2}}}}},"used_operators":["uFcxV4UQCh","nCS4ZIUYfx","tifHPKVTfV","7j4O788W3g","IWmyXbctLI","2DDjHMKMc0","mp7IySMOzn","Qy55tPpLXF","2td37pGCOC","DZ8iAZOCBD","rxpJgHHUmx","XPYlsWDdGa"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4844","layer":4},{"info":"number node, value=5727","layer":4},{"info":"compute binary expreesion, left_input=4844, right_input=5727, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5727","layer":3},{"info":"number node, value=1348","layer":4},{"info":"number node, value=6463","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=6463, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3012","layer":3},{"info":"compute binary expreesion, left_input=5727, right_input=3012, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2715","layer":2},{"info":"number node, value=2317","layer":4},{"info":"number node, value=3670","layer":4},{"info":"compute binary expreesion, left_input=2317, right_input=3670, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7340","layer":3},{"info":"number node, value=5560","layer":4},{"info":"number node, value=1522","layer":4},{"info":"compute binary expreesion, left_input=5560, right_input=1522, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2483","layer":3},{"info":"compute binary expreesion, left_input=7340, right_input=-2483, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7340","layer":2},{"info":"compute binary expreesion, left_input=-2715, right_input=7340, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=10055","layer":1},{"info":"number node, value=3095","layer":4},{"info":"number node, value=1874","layer":4},{"info":"compute binary expreesion, left_input=3095, right_input=1874, 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=2352","layer":4},{"info":"compute unary expreesion, input=2352, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4704","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4704, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=10055, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001011101100↺≮⫘↔1011001011111⇼⇔∾≮⫘↔10101000100⪮%⊝≮⫘↔1100100111111)⨳⩥⨓≮⫘↔100100001101⇷≮⫘↔111001010110⋝⋈⪟(≮⫘↔1010110111000⋥≓≎≮⫘↔10111110010))⪛(⩦⩻⨪(≮⫘↔110000010111≭≮⫘↔11101010010⊉≛↸(⪲⇎≮⫘↔100100110000)))=NaN","reverse_text":"NaN=((≮⫘↔1001011101100↺≮⫘↔1011001011111⇼⇔∾≮⫘↔10101000100⪮%⊝≮⫘↔1100100111111)⨳⩥⨓≮⫘↔100100001101⇷≮⫘↔111001010110⋝⋈⪟(≮⫘↔1010110111000⋥≓≎≮⫘↔10111110010))⪛(⩦⩻⨪(≮⫘↔110000010111≭≮⫘↔11101010010⊉≛↸(⪲⇎≮⫘↔100100110000)))","cot":[{"info":"≮⫘↔1001011101100↺≮⫘↔1011001011111=≮⫘↔1011001011111","layer":3},{"info":"≮⫘↔10101000100⪮%⊝≮⫘↔1100100111111=≮⫘↔101111000100","layer":3},{"info":"≮⫘↔1011001011111⇼⇔∾≮⫘↔101111000100=≮⫘↔-101010011011","layer":2},{"info":"≮⫘↔100100001101⇷≮⫘↔111001010110=≮⫘↔1110010101100","layer":3},{"info":"≮⫘↔1010110111000⋥≓≎≮⫘↔10111110010=≮⫘↔-100110110011","layer":3},{"info":"≮⫘↔1110010101100⋝⋈⪟≮⫘↔-100110110011=≮⫘↔1110010101100","layer":2},{"info":"≮⫘↔-101010011011⨳⩥⨓≮⫘↔1110010101100=≮⫘↔10011101000111","layer":1},{"info":"≮⫘↔110000010111≭≮⫘↔11101010010=NaN","layer":3},{"info":"⪲⇎≮⫘↔100100110000=≮⫘↔1001001100000","layer":3},{"info":"NaN⊉≛↸≮⫘↔1001001100000=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"≮⫘↔10011101000111⪛NaN=NaN","layer":0}]}
{"id":508,"expression_no_base_symbol":"(↣≠⋷$4565$)⋳⪒(≤/$3727$)⋳⪒((⨵≀≌$1238$)⨎$3427$∼$1401$)↪⪝","expression":"(↣≠⋷≮⫘↔1000111010101)⋳⪒(≤/≮⫘↔111010001111)⋳⪒((⨵≀≌≮⫘↔10011010110)⨎≮⫘↔110101100011∼≮⫘↔10101111001)↪⪝","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":96,"operation_count":8,"complexity_ratio":12.0,"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":4565,"base":2}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3727,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1238,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3427,"base":2},"right_expr":{"type":"numeric_atoms","value":1401,"base":2}}}}},"used_operators":["l07mrZUIn9","12rbrZMWeM","Asc51vEJeQ","eLAdDNolq6","rJVOvQCfKK","srAu1WTS94","DyGG3AbaNP"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4565","layer":4},{"info":"compute unary expreesion, input=4565, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=3727","layer":4},{"info":"compute unary expreesion, input=3727, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3243","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3243, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=1238","layer":4},{"info":"compute unary expreesion, input=1238, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3714","layer":3},{"info":"number node, value=3427","layer":4},{"info":"number node, value=1401","layer":4},{"info":"compute binary expreesion, left_input=3427, right_input=1401, 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=-3714, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↣≠⋷≮⫘↔1000111010101)⋳⪒(≤/≮⫘↔111010001111)⋳⪒((⨵≀≌≮⫘↔10011010110)⨎≮⫘↔110101100011∼≮⫘↔10101111001)↪⪝=NaN","reverse_text":"NaN=(↣≠⋷≮⫘↔1000111010101)⋳⪒(≤/≮⫘↔111010001111)⋳⪒((⨵≀≌≮⫘↔10011010110)⨎≮⫘↔110101100011∼≮⫘↔10101111001)↪⪝","cot":[{"info":"↣≠⋷≮⫘↔1000111010101=NaN","layer":3},{"info":"≤/≮⫘↔111010001111=≮⫘↔-110010101011","layer":3},{"info":"NaN⋳⪒≮⫘↔-110010101011=NaN","layer":2},{"info":"⨵≀≌≮⫘↔10011010110=≮⫘↔-111010000010","layer":3},{"info":"≮⫘↔110101100011∼≮⫘↔10101111001=NaN","layer":3},{"info":"≮⫘↔-111010000010⨎NaN=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":509,"expression_no_base_symbol":"(⊄⩳↩($1550$⊉≛↸$1033$)⪮%⊝($1020$∑⇟⊟$2134$))∲⫓(($1462$⩤)⨵⪆$6521$-$6789$)∲⫓($2945$⪨≂$1543$)≹⇙⪍($5824$⫥∨⫟$5547$)","expression":"(⊄⩳↩(≮⫘↔11000001110⊉≛↸≮⫘↔10000001001)⪮%⊝(≮⫘↔1111111100∑⇟⊟≮⫘↔100001010110))∲⫓((≮⫘↔10110110110⩤)⨵⪆≮⫘↔1100101111001-≮⫘↔1101010000101)∲⫓(≮⫘↔101110000001⪨≂≮⫘↔11000000111)≹⇙⪍(≮⫘↔1011011000000⫥∨⫟≮⫘↔1010110101011)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":182,"operation_count":12,"complexity_ratio":15.166666666666666,"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":1550,"base":2},"right_expr":{"type":"numeric_atoms","value":1033,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1020,"base":2},"right_expr":{"type":"numeric_atoms","value":2134,"base":2}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1462,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6521,"base":2},"right_expr":{"type":"numeric_atoms","value":6789,"base":2}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2945,"base":2},"right_expr":{"type":"numeric_atoms","value":1543,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5824,"base":2},"right_expr":{"type":"numeric_atoms","value":5547,"base":2}}}}},"used_operators":["i8ToyICDmI","8w2t5hMYqp","IWmyXbctLI","DZ8iAZOCBD","U7g4x0WXJJ","2DQ55sFlQl","Z2TMIBDE3Q","rysDP5nf3Z","AHs5Up7iyr","sdazOOVcIp","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1550","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=1550, right_input=1033, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3100","layer":3},{"info":"number node, value=1020","layer":4},{"info":"number node, value=2134","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=2134, 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=3100, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=1462","layer":4},{"info":"compute unary expreesion, input=1462, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1462","layer":3},{"info":"number node, value=6521","layer":4},{"info":"number node, value=6789","layer":4},{"info":"compute binary expreesion, left_input=6521, right_input=6789, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-268","layer":3},{"info":"compute binary expreesion, left_input=-1462, right_input=-268, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2945","layer":4},{"info":"number node, value=1543","layer":4},{"info":"compute binary expreesion, left_input=2945, right_input=1543, 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=2906","layer":3},{"info":"number node, value=5824","layer":4},{"info":"number node, value=5547","layer":4},{"info":"compute binary expreesion, left_input=5824, right_input=5547, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2906, 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=160, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊄⩳↩(≮⫘↔11000001110⊉≛↸≮⫘↔10000001001)⪮%⊝(≮⫘↔1111111100∑⇟⊟≮⫘↔100001010110))∲⫓((≮⫘↔10110110110⩤)⨵⪆≮⫘↔1100101111001-≮⫘↔1101010000101)∲⫓(≮⫘↔101110000001⪨≂≮⫘↔11000000111)≹⇙⪍(≮⫘↔1011011000000⫥∨⫟≮⫘↔1010110101011)=NaN","reverse_text":"NaN=(⊄⩳↩(≮⫘↔11000001110⊉≛↸≮⫘↔10000001001)⪮%⊝(≮⫘↔1111111100∑⇟⊟≮⫘↔100001010110))∲⫓((≮⫘↔10110110110⩤)⨵⪆≮⫘↔1100101111001-≮⫘↔1101010000101)∲⫓(≮⫘↔101110000001⪨≂≮⫘↔11000000111)≹⇙⪍(≮⫘↔1011011000000⫥∨⫟≮⫘↔1010110101011)","cot":[{"info":"≮⫘↔11000001110⊉≛↸≮⫘↔10000001001=≮⫘↔110000011100","layer":3},{"info":"≮⫘↔1111111100∑⇟⊟≮⫘↔100001010110=NaN","layer":3},{"info":"≮⫘↔110000011100⪮%⊝NaN=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"≮⫘↔10110110110⩤=≮⫘↔-10110110110","layer":3},{"info":"≮⫘↔1100101111001-≮⫘↔1101010000101=≮⫘↔-100001100","layer":3},{"info":"≮⫘↔-10110110110⨵⪆≮⫘↔-100001100=≮⫘↔10100000","layer":2},{"info":"≮⫘↔101110000001⪨≂≮⫘↔11000000111=≮⫘↔101101011010","layer":3},{"info":"≮⫘↔1011011000000⫥∨⫟≮⫘↔1010110101011=NaN","layer":3},{"info":"≮⫘↔101101011010≹⇙⪍NaN=NaN","layer":2},{"info":"≮⫘↔10100000∲⫓NaN=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":510,"expression_no_base_symbol":"(($4918$≹⇙⪍$1400$∑⇟⊟(⪲⇎$3445$))↬($1912$∀⇚≩$2971$↺($4786$⩤)))∼((⨈⫕($3500$⪒$2676$))≭(⪝⪂⫅$6811$∼$1755$))","expression":"((≮⫘↔1001100110110≹⇙⪍≮⫘↔10101111000∑⇟⊟(⪲⇎≮⫘↔110101110101))↬(≮⫘↔11101111000∀⇚≩≮⫘↔101110011011↺(≮⫘↔1001010110010⩤)))∼((⨈⫕(≮⫘↔110110101100⪒≮⫘↔101001110100))≭(⪝⪂⫅≮⫘↔1101010011011∼≮⫘↔11011011011))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13924,"operation_count":13,"complexity_ratio":1071.076923076923,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4918,"base":2},"right_expr":{"type":"numeric_atoms","value":1400,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3445,"base":2}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1912,"base":2},"right_expr":{"type":"numeric_atoms","value":2971,"base":2}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":4786,"base":2}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3500,"base":2},"right_expr":{"type":"numeric_atoms","value":2676,"base":2}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6811,"base":2},"right_expr":{"type":"numeric_atoms","value":1755,"base":2}}}}},"used_operators":["DyGG3AbaNP","B5M0gjZbta","U7g4x0WXJJ","AHs5Up7iyr","XPYlsWDdGa","7j4O788W3g","LRNGc0VcxI","Z2TMIBDE3Q","rxpJgHHUmx","megm06wKyl","f6k1SAg4EE","XTarYq4gQB"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4918","layer":4},{"info":"number node, value=1400","layer":4},{"info":"compute binary expreesion, left_input=4918, right_input=1400, 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=3445","layer":4},{"info":"compute unary expreesion, input=3445, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6890","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6890, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1912","layer":4},{"info":"number node, value=2971","layer":4},{"info":"compute binary expreesion, left_input=1912, right_input=2971, 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=4786","layer":4},{"info":"compute unary expreesion, input=4786, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4786","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4786, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-4786","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4786, 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=3500","layer":4},{"info":"number node, value=2676","layer":4},{"info":"compute binary expreesion, left_input=3500, right_input=2676, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6176","layer":3},{"info":"compute unary expreesion, input=-6176, 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=6811","layer":4},{"info":"number node, value=1755","layer":4},{"info":"compute binary expreesion, left_input=6811, right_input=1755, 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":"compute binary expreesion, left_input=-21, 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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001100110110≹⇙⪍≮⫘↔10101111000∑⇟⊟(⪲⇎≮⫘↔110101110101))↬(≮⫘↔11101111000∀⇚≩≮⫘↔101110011011↺(≮⫘↔1001010110010⩤)))∼((⨈⫕(≮⫘↔110110101100⪒≮⫘↔101001110100))≭(⪝⪂⫅≮⫘↔1101010011011∼≮⫘↔11011011011))=NaN","reverse_text":"NaN=((≮⫘↔1001100110110≹⇙⪍≮⫘↔10101111000∑⇟⊟(⪲⇎≮⫘↔110101110101))↬(≮⫘↔11101111000∀⇚≩≮⫘↔101110011011↺(≮⫘↔1001010110010⩤)))∼((⨈⫕(≮⫘↔110110101100⪒≮⫘↔101001110100))≭(⪝⪂⫅≮⫘↔1101010011011∼≮⫘↔11011011011))","cot":[{"info":"≮⫘↔1001100110110≹⇙⪍≮⫘↔10101111000=NaN","layer":3},{"info":"⪲⇎≮⫘↔110101110101=≮⫘↔1101011101010","layer":3},{"info":"NaN∑⇟⊟≮⫘↔1101011101010=NaN","layer":2},{"info":"≮⫘↔11101111000∀⇚≩≮⫘↔101110011011=NaN","layer":3},{"info":"≮⫘↔1001010110010⩤=≮⫘↔-1001010110010","layer":3},{"info":"NaN↺≮⫘↔-1001010110010=≮⫘↔-1001010110010","layer":2},{"info":"NaN↬≮⫘↔-1001010110010=NaN","layer":1},{"info":"≮⫘↔110110101100⪒≮⫘↔101001110100=≮⫘↔-1100000100000","layer":3},{"info":"⨈⫕≮⫘↔-1100000100000=≮⫘↔-10101","layer":2},{"info":"≮⫘↔1101010011011∼≮⫘↔11011011011=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"≮⫘↔-10101≭NaN=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":511,"expression_no_base_symbol":"($4059$⨟⋌⩍$2589$↬($2145$↙$1486$)⋓(⪝⪂⫅$2639$∼$3751$))⇷(↩(≉$3497$)⨪↰⇹($1048$⨐⩸⫘$4938$))","expression":"(≮⫘↔111111011011⨟⋌⩍≮⫘↔101000011101↬(≮⫘↔100001100001↙≮⫘↔10111001110)⋓(⪝⪂⫅≮⫘↔101001001111∼≮⫘↔111010100111))⇷(↩(≉≮⫘↔110110101001)⨪↰⇹(≮⫘↔10000011000⨐⩸⫘≮⫘↔1001101001010))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5617,"operation_count":11,"complexity_ratio":510.6363636363636,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4059,"base":2},"right_expr":{"type":"numeric_atoms","value":2589,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2145,"base":2},"right_expr":{"type":"numeric_atoms","value":1486,"base":2}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2639,"base":2},"right_expr":{"type":"numeric_atoms","value":3751,"base":2}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3497,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1048,"base":2},"right_expr":{"type":"numeric_atoms","value":4938,"base":2}}}}},"used_operators":["mp7IySMOzn","T2fj7uvVaJ","B5M0gjZbta","rGHVDoGpnC","yyfyN0ffXY","XTarYq4gQB","DyGG3AbaNP","jLgFTUHLKL","tmPS8pqC7x","e1ybzncUwg","fu6greOZ01"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","Tcnh7f0tEr","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4059","layer":4},{"info":"number node, value=2589","layer":4},{"info":"compute binary expreesion, left_input=4059, right_input=2589, 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=2145","layer":4},{"info":"number node, value=1486","layer":4},{"info":"compute binary expreesion, left_input=2145, right_input=1486, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4458","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4458, 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=2639","layer":4},{"info":"number node, value=3751","layer":4},{"info":"compute binary expreesion, left_input=2639, right_input=3751, 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":"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":1},{"info":"number node, value=3497","layer":4},{"info":"compute unary expreesion, input=3497, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4028","layer":3},{"info":"number node, value=1048","layer":4},{"info":"number node, value=4938","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=4938, 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=4028, 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=4028","layer":2},{"info":"compute unary expreesion, input=4028, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-29444","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-29444, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔111111011011⨟⋌⩍≮⫘↔101000011101↬(≮⫘↔100001100001↙≮⫘↔10111001110)⋓(⪝⪂⫅≮⫘↔101001001111∼≮⫘↔111010100111))⇷(↩(≉≮⫘↔110110101001)⨪↰⇹(≮⫘↔10000011000⨐⩸⫘≮⫘↔1001101001010))=NaN","reverse_text":"NaN=(≮⫘↔111111011011⨟⋌⩍≮⫘↔101000011101↬(≮⫘↔100001100001↙≮⫘↔10111001110)⋓(⪝⪂⫅≮⫘↔101001001111∼≮⫘↔111010100111))⇷(↩(≉≮⫘↔110110101001)⨪↰⇹(≮⫘↔10000011000⨐⩸⫘≮⫘↔1001101001010))","cot":[{"info":"≮⫘↔111111011011⨟⋌⩍≮⫘↔101000011101=NaN","layer":3},{"info":"≮⫘↔100001100001↙≮⫘↔10111001110=≮⫘↔-1000101101010","layer":3},{"info":"NaN↬≮⫘↔-1000101101010=NaN","layer":2},{"info":"≮⫘↔101001001111∼≮⫘↔111010100111=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"≉≮⫘↔110110101001=≮⫘↔111110111100","layer":3},{"info":"≮⫘↔10000011000⨐⩸⫘≮⫘↔1001101001010=NaN","layer":3},{"info":"≮⫘↔111110111100⨪↰⇹NaN=≮⫘↔111110111100","layer":2},{"info":"↩≮⫘↔111110111100=≮⫘↔-111001100000100","layer":1},{"info":"NaN⇷≮⫘↔-111001100000100=NaN","layer":0}]}
{"id":512,"expression_no_base_symbol":"((($3200$⩤)⫸⊐$2299$⨎$7008$)⋥≓≎((⩦⩻⨪$6922$)⩨$5280$∀⇚≩$1371$))≭(((⩦⩻⨪$3871$)⋷(⫓⪴$2498$))⫸⊐(($2697$∧)⋷$1610$%$1109$))","expression":"(((≮⫘↔110010000000⩤)⫸⊐≮⫘↔100011111011⨎≮⫘↔1101101100000)⋥≓≎((⩦⩻⨪≮⫘↔1101100001010)⩨≮⫘↔1010010100000∀⇚≩≮⫘↔10101011011))≭(((⩦⩻⨪≮⫘↔111100011111)⋷(⫓⪴≮⫘↔100111000010))⫸⊐((≮⫘↔101010001001∧)⋷≮⫘↔11001001010%≮⫘↔10001010101))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":39513,"operation_count":15,"complexity_ratio":2634.2,"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":3200,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2299,"base":2},"right_expr":{"type":"numeric_atoms","value":7008,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":6922,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5280,"base":2},"right_expr":{"type":"numeric_atoms","value":1371,"base":2}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3871,"base":2}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2498,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2697,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1610,"base":2},"right_expr":{"type":"numeric_atoms","value":1109,"base":2}}}}},"used_operators":["rxpJgHHUmx","Qy55tPpLXF","mqXw5SEYmG","Z2TMIBDE3Q","rJVOvQCfKK","2DlMacCsIx","2td37pGCOC","LRNGc0VcxI","23Mk6UjR3U","eLxqMNBOBk","z63VuFQld9","k8jYdgA6NY"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3200","layer":4},{"info":"compute unary expreesion, input=3200, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3200","layer":3},{"info":"number node, value=2299","layer":4},{"info":"number node, value=7008","layer":4},{"info":"compute binary expreesion, left_input=2299, right_input=7008, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7008","layer":3},{"info":"compute binary expreesion, left_input=-3200, right_input=7008, 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":"number node, value=6922","layer":4},{"info":"compute unary expreesion, input=6922, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6922","layer":3},{"info":"number node, value=5280","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=5280, right_input=1371, 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=6922, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=968, 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=3871","layer":4},{"info":"compute unary expreesion, input=3871, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3871","layer":3},{"info":"number node, value=2498","layer":4},{"info":"compute unary expreesion, input=2498, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=6240004","layer":3},{"info":"compute binary expreesion, left_input=3871, right_input=6240004, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=12476137","layer":2},{"info":"number node, value=2697","layer":4},{"info":"compute unary expreesion, input=2697, 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=1610","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=1610, right_input=1109, op_id = k8jYdgA6NY binary_op_definition= 'None', output=501","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=501, 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=12476137, 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":"compute binary expreesion, left_input=nan, 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":0}],"base":2,"result_base":2,"text":"(((≮⫘↔110010000000⩤)⫸⊐≮⫘↔100011111011⨎≮⫘↔1101101100000)⋥≓≎((⩦⩻⨪≮⫘↔1101100001010)⩨≮⫘↔1010010100000∀⇚≩≮⫘↔10101011011))≭(((⩦⩻⨪≮⫘↔111100011111)⋷(⫓⪴≮⫘↔100111000010))⫸⊐((≮⫘↔101010001001∧)⋷≮⫘↔11001001010%≮⫘↔10001010101))=NaN","reverse_text":"NaN=(((≮⫘↔110010000000⩤)⫸⊐≮⫘↔100011111011⨎≮⫘↔1101101100000)⋥≓≎((⩦⩻⨪≮⫘↔1101100001010)⩨≮⫘↔1010010100000∀⇚≩≮⫘↔10101011011))≭(((⩦⩻⨪≮⫘↔111100011111)⋷(⫓⪴≮⫘↔100111000010))⫸⊐((≮⫘↔101010001001∧)⋷≮⫘↔11001001010%≮⫘↔10001010101))","cot":[{"info":"≮⫘↔110010000000⩤=≮⫘↔-110010000000","layer":3},{"info":"≮⫘↔100011111011⨎≮⫘↔1101101100000=≮⫘↔1101101100000","layer":3},{"info":"≮⫘↔-110010000000⫸⊐≮⫘↔1101101100000=≮⫘↔1111001000","layer":2},{"info":"⩦⩻⨪≮⫘↔1101100001010=≮⫘↔1101100001010","layer":3},{"info":"≮⫘↔1010010100000∀⇚≩≮⫘↔10101011011=NaN","layer":3},{"info":"≮⫘↔1101100001010⩨NaN=NaN","layer":2},{"info":"≮⫘↔1111001000⋥≓≎NaN=NaN","layer":1},{"info":"⩦⩻⨪≮⫘↔111100011111=≮⫘↔111100011111","layer":3},{"info":"⫓⪴≮⫘↔100111000010=≮⫘↔10111110011011100000100","layer":3},{"info":"≮⫘↔111100011111⋷≮⫘↔10111110011011100000100=≮⫘↔101111100101111011101001","layer":2},{"info":"≮⫘↔101010001001∧=NaN","layer":3},{"info":"≮⫘↔11001001010%≮⫘↔10001010101=≮⫘↔111110101","layer":3},{"info":"NaN⋷≮⫘↔111110101=NaN","layer":2},{"info":"≮⫘↔101111100101111011101001⫸⊐NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":513,"expression_no_base_symbol":"((($1449$⩨$4946$)⨐⩸⫘$3550$⨐⩸⫘$4634$)⨰($7458$⊭↱$1054$⫡⨏$2288$⋳⪒$1656$))∼(($7418$≭$4700$⊘)⇋≉)","expression":"(((≮⫘↔10110101001⩨≮⫘↔1001101010010)⨐⩸⫘≮⫘↔110111011110⨐⩸⫘≮⫘↔1001000011010)⨰(≮⫘↔1110100100010⊭↱≮⫘↔10000011110⫡⨏≮⫘↔100011110000⋳⪒≮⫘↔11001111000))∼((≮⫘↔1110011111010≭≮⫘↔1001001011100⊘)⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":62,"operation_count":11,"complexity_ratio":5.636363636363637,"tree":{"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":2},"right_expr":{"type":"numeric_atoms","value":4946,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3550,"base":2},"right_expr":{"type":"numeric_atoms","value":4634,"base":2}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":7458,"base":2},"right_expr":{"type":"numeric_atoms","value":1054,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2288,"base":2},"right_expr":{"type":"numeric_atoms","value":1656,"base":2}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7418,"base":2},"right_expr":{"type":"numeric_atoms","value":4700,"base":2}}}}},"used_operators":["DyGG3AbaNP","eewbuw0ToL","fu6greOZ01","2DlMacCsIx","QMFrweE19q","COABgblf1C","12rbrZMWeM","XIabStNQrY","gu96TGCTMs","rxpJgHHUmx"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1449","layer":4},{"info":"number node, value=4946","layer":4},{"info":"compute binary expreesion, left_input=1449, right_input=4946, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"number node, value=3550","layer":4},{"info":"number node, value=4634","layer":4},{"info":"compute binary expreesion, left_input=3550, right_input=4634, 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=-9, 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=7458","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=7458, right_input=1054, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-12803","layer":3},{"info":"number node, value=2288","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=2288, right_input=1656, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2633","layer":3},{"info":"compute binary expreesion, left_input=-12803, right_input=2633, 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=-57966","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-57966, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=7418","layer":4},{"info":"number node, value=4700","layer":4},{"info":"compute binary expreesion, left_input=7418, right_input=4700, 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 = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10110101001⩨≮⫘↔1001101010010)⨐⩸⫘≮⫘↔110111011110⨐⩸⫘≮⫘↔1001000011010)⨰(≮⫘↔1110100100010⊭↱≮⫘↔10000011110⫡⨏≮⫘↔100011110000⋳⪒≮⫘↔11001111000))∼((≮⫘↔1110011111010≭≮⫘↔1001001011100⊘)⇋≉)=NaN","reverse_text":"NaN=(((≮⫘↔10110101001⩨≮⫘↔1001101010010)⨐⩸⫘≮⫘↔110111011110⨐⩸⫘≮⫘↔1001000011010)⨰(≮⫘↔1110100100010⊭↱≮⫘↔10000011110⫡⨏≮⫘↔100011110000⋳⪒≮⫘↔11001111000))∼((≮⫘↔1110011111010≭≮⫘↔1001001011100⊘)⇋≉)","cot":[{"info":"≮⫘↔10110101001⩨≮⫘↔1001101010010=≮⫘↔-1001","layer":3},{"info":"≮⫘↔110111011110⨐⩸⫘≮⫘↔1001000011010=NaN","layer":3},{"info":"≮⫘↔-1001⨐⩸⫘NaN=NaN","layer":2},{"info":"≮⫘↔1110100100010⊭↱≮⫘↔10000011110=≮⫘↔-11001000000011","layer":3},{"info":"≮⫘↔100011110000⋳⪒≮⫘↔11001111000=≮⫘↔101001001001","layer":3},{"info":"≮⫘↔-11001000000011⫡⨏≮⫘↔101001001001=≮⫘↔-1110001001101110","layer":2},{"info":"NaN⨰≮⫘↔-1110001001101110=NaN","layer":1},{"info":"≮⫘↔1110011111010≭≮⫘↔1001001011100=NaN","layer":3},{"info":"NaN⊘=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":514,"expression_no_base_symbol":"((↩$2345$)⫡⨏(⫓⪴$2099$))⫸⊐(-$2943$⩚⊴⇥$1666$)+($1446$⪛$3034$)⪮%⊝(≤/$4495$)⫥∨⫟(($1732$⫡⨏$2076$)⨳⩥⨓($1690$-$2099$))","expression":"((↩≮⫘↔100100101001)⫡⨏(⫓⪴≮⫘↔100000110011))⫸⊐(-≮⫘↔101101111111⩚⊴⇥≮⫘↔11010000010)+(≮⫘↔10110100110⪛≮⫘↔101111011010)⪮%⊝(≤/≮⫘↔1000110001111)⫥∨⫟((≮⫘↔11011000100⫡⨏≮⫘↔100000011100)⨳⩥⨓(≮⫘↔11010011010-≮⫘↔100000110011))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2330,"operation_count":14,"complexity_ratio":166.42857142857142,"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":2345,"base":2}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2099,"base":2}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2943,"base":2},"right_expr":{"type":"numeric_atoms","value":1666,"base":2}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1446,"base":2},"right_expr":{"type":"numeric_atoms","value":3034,"base":2}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4495,"base":2}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1732,"base":2},"right_expr":{"type":"numeric_atoms","value":2076,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1690,"base":2},"right_expr":{"type":"numeric_atoms","value":2099,"base":2}}}}},"used_operators":["W4YGzv6Whe","mqXw5SEYmG","QMFrweE19q","jLgFTUHLKL","eLxqMNBOBk","t8gj7n24qd","NTOWxs364D","KYD54nUTWz","IWmyXbctLI","uFcxV4UQCh","eLAdDNolq6","nCS4ZIUYfx","rysDP5nf3Z"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2345","layer":4},{"info":"compute unary expreesion, input=2345, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-15980","layer":3},{"info":"number node, value=2099","layer":4},{"info":"compute unary expreesion, input=2099, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4405801","layer":3},{"info":"compute binary expreesion, left_input=-15980, right_input=4405801, 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=8732485","layer":2},{"info":"number node, value=2943","layer":4},{"info":"number node, value=1666","layer":4},{"info":"compute binary expreesion, left_input=2943, right_input=1666, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4730","layer":3},{"info":"compute unary expreesion, input=-4730, op_id = t8gj7n24qd, unary_op_definition = 'None', output=4730","layer":2},{"info":"compute binary expreesion, left_input=8732485, right_input=4730, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=18795","layer":1},{"info":"number node, value=1446","layer":4},{"info":"number node, value=3034","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=3034, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1446","layer":3},{"info":"number node, value=4495","layer":4},{"info":"compute unary expreesion, input=4495, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4011","layer":3},{"info":"compute binary expreesion, left_input=1446, right_input=-4011, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3208","layer":2},{"info":"number node, value=1732","layer":4},{"info":"number node, value=2076","layer":4},{"info":"compute binary expreesion, left_input=1732, right_input=2076, 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=13595","layer":3},{"info":"number node, value=1690","layer":4},{"info":"number node, value=2099","layer":4},{"info":"compute binary expreesion, left_input=1690, right_input=2099, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-409","layer":3},{"info":"compute binary expreesion, left_input=13595, right_input=-409, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-14004","layer":2},{"info":"compute binary expreesion, left_input=3208, right_input=-14004, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=18795, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"((↩≮⫘↔100100101001)⫡⨏(⫓⪴≮⫘↔100000110011))⫸⊐(-≮⫘↔101101111111⩚⊴⇥≮⫘↔11010000010)+(≮⫘↔10110100110⪛≮⫘↔101111011010)⪮%⊝(≤/≮⫘↔1000110001111)⫥∨⫟((≮⫘↔11011000100⫡⨏≮⫘↔100000011100)⨳⩥⨓(≮⫘↔11010011010-≮⫘↔100000110011))=NaN","reverse_text":"NaN=((↩≮⫘↔100100101001)⫡⨏(⫓⪴≮⫘↔100000110011))⫸⊐(-≮⫘↔101101111111⩚⊴⇥≮⫘↔11010000010)+(≮⫘↔10110100110⪛≮⫘↔101111011010)⪮%⊝(≤/≮⫘↔1000110001111)⫥∨⫟((≮⫘↔11011000100⫡⨏≮⫘↔100000011100)⨳⩥⨓(≮⫘↔11010011010-≮⫘↔100000110011))","cot":[{"info":"↩≮⫘↔100100101001=≮⫘↔-11111001101100","layer":3},{"info":"⫓⪴≮⫘↔100000110011=≮⫘↔10000110011101000101001","layer":3},{"info":"≮⫘↔-11111001101100⫡⨏≮⫘↔10000110011101000101001=≮⫘↔100001010011111101000101","layer":2},{"info":"≮⫘↔101101111111⩚⊴⇥≮⫘↔11010000010=≮⫘↔-1001001111010","layer":3},{"info":"-≮⫘↔-1001001111010=≮⫘↔1001001111010","layer":2},{"info":"≮⫘↔100001010011111101000101⫸⊐≮⫘↔1001001111010=≮⫘↔100100101101011","layer":1},{"info":"≮⫘↔10110100110⪛≮⫘↔101111011010=≮⫘↔10110100110","layer":3},{"info":"≤/≮⫘↔1000110001111=≮⫘↔-111110101011","layer":3},{"info":"≮⫘↔10110100110⪮%⊝≮⫘↔-111110101011=≮⫘↔110010001000","layer":2},{"info":"≮⫘↔11011000100⫡⨏≮⫘↔100000011100=≮⫘↔11010100011011","layer":3},{"info":"≮⫘↔11010011010-≮⫘↔100000110011=≮⫘↔-110011001","layer":3},{"info":"≮⫘↔11010100011011⨳⩥⨓≮⫘↔-110011001=≮⫘↔-11011010110100","layer":2},{"info":"≮⫘↔110010001000⫥∨⫟≮⫘↔-11011010110100=NaN","layer":1},{"info":"≮⫘↔100100101101011+NaN=NaN","layer":0}]}
{"id":515,"expression_no_base_symbol":"($4019$∲⫓$2178$)∀⇚≩$5525$⪘⫢$6153$+($8781$⫩⊇)⨓$1199$↬$1536$⪨≂(($1774$⋷$3344$)⊭↱($1605$⊉≛↸$1128$))⨐⩸⫘(∂(∥⊫$1186$))","expression":"(≮⫘↔111110110011∲⫓≮⫘↔100010000010)∀⇚≩≮⫘↔1010110010101⪘⫢≮⫘↔1100000001001+(≮⫘↔10001001001101⫩⊇)⨓≮⫘↔10010101111↬≮⫘↔11000000000⪨≂((≮⫘↔11011101110⋷≮⫘↔110100010000)⊭↱(≮⫘↔11001000101⊉≛↸≮⫘↔10001101000))⨐⩸⫘(∂(∥⊫≮⫘↔10010100010))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":51,"operation_count":14,"complexity_ratio":3.642857142857143,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4019,"base":2},"right_expr":{"type":"numeric_atoms","value":2178,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5525,"base":2},"right_expr":{"type":"numeric_atoms","value":6153,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":8781,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1199,"base":2},"right_expr":{"type":"numeric_atoms","value":1536,"base":2}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1774,"base":2},"right_expr":{"type":"numeric_atoms","value":3344,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1605,"base":2},"right_expr":{"type":"numeric_atoms","value":1128,"base":2}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1186,"base":2}}}}},"used_operators":["sdazOOVcIp","W4YGzv6Whe","LRNGc0VcxI","i8ToyICDmI","oacrs7FA3X","3ViojmjbAp","BjRHVeLaeN","B5M0gjZbta","fu6greOZ01","COABgblf1C","23Mk6UjR3U","DZ8iAZOCBD","Uaa54Peajs","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4019","layer":4},{"info":"number node, value=2178","layer":4},{"info":"compute binary expreesion, left_input=4019, right_input=2178, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=5525","layer":4},{"info":"number node, value=6153","layer":4},{"info":"compute binary expreesion, left_input=5525, right_input=6153, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10926","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=10926, 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=10926","layer":2},{"info":"number node, value=8781","layer":4},{"info":"compute unary expreesion, input=8781, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-8739","layer":3},{"info":"number node, value=1199","layer":4},{"info":"number node, value=1536","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=1536, 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=-8739, 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=10926, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1774","layer":4},{"info":"number node, value=3344","layer":4},{"info":"compute binary expreesion, left_input=1774, right_input=3344, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4914","layer":3},{"info":"number node, value=1605","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=1128, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3210","layer":3},{"info":"compute binary expreesion, left_input=4914, right_input=3210, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3403","layer":2},{"info":"number node, value=1186","layer":4},{"info":"compute unary expreesion, input=1186, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2054","layer":3},{"info":"compute unary expreesion, input=2054, 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=-3403, 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=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔111110110011∲⫓≮⫘↔100010000010)∀⇚≩≮⫘↔1010110010101⪘⫢≮⫘↔1100000001001+(≮⫘↔10001001001101⫩⊇)⨓≮⫘↔10010101111↬≮⫘↔11000000000⪨≂((≮⫘↔11011101110⋷≮⫘↔110100010000)⊭↱(≮⫘↔11001000101⊉≛↸≮⫘↔10001101000))⨐⩸⫘(∂(∥⊫≮⫘↔10010100010))=NaN","reverse_text":"NaN=(≮⫘↔111110110011∲⫓≮⫘↔100010000010)∀⇚≩≮⫘↔1010110010101⪘⫢≮⫘↔1100000001001+(≮⫘↔10001001001101⫩⊇)⨓≮⫘↔10010101111↬≮⫘↔11000000000⪨≂((≮⫘↔11011101110⋷≮⫘↔110100010000)⊭↱(≮⫘↔11001000101⊉≛↸≮⫘↔10001101000))⨐⩸⫘(∂(∥⊫≮⫘↔10010100010))","cot":[{"info":"≮⫘↔111110110011∲⫓≮⫘↔100010000010=≮⫘↔0","layer":3},{"info":"≮⫘↔1010110010101⪘⫢≮⫘↔1100000001001=≮⫘↔10101010101110","layer":3},{"info":"≮⫘↔0∀⇚≩≮⫘↔10101010101110=≮⫘↔10101010101110","layer":2},{"info":"≮⫘↔10001001001101⫩⊇=≮⫘↔-10001000100011","layer":3},{"info":"≮⫘↔10010101111↬≮⫘↔11000000000=NaN","layer":3},{"info":"≮⫘↔-10001000100011⨓NaN=NaN","layer":2},{"info":"≮⫘↔10101010101110+NaN=NaN","layer":1},{"info":"≮⫘↔11011101110⋷≮⫘↔110100010000=≮⫘↔1001100110010","layer":3},{"info":"≮⫘↔11001000101⊉≛↸≮⫘↔10001101000=≮⫘↔110010001010","layer":3},{"info":"≮⫘↔1001100110010⊭↱≮⫘↔110010001010=≮⫘↔-110101001011","layer":2},{"info":"∥⊫≮⫘↔10010100010=≮⫘↔100000000110","layer":3},{"info":"∂≮⫘↔100000000110=NaN","layer":2},{"info":"≮⫘↔-110101001011⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":516,"expression_no_base_symbol":"($3045$≎⊠⪸$2449$⇼⇔∾($1340$⋷$1079$))∼(($2109$⇷$4761$)⪛($5919$∲⫓$1403$))+(+⊝⨔((∥⊫$7658$)⩚⊴⇥($5787$⨎$2371$)))","expression":"(≮⫘↔101111100101≎⊠⪸≮⫘↔100110010001⇼⇔∾(≮⫘↔10100111100⋷≮⫘↔10000110111))∼((≮⫘↔100000111101⇷≮⫘↔1001010011001)⪛(≮⫘↔1011100011111∲⫓≮⫘↔10101111011))+(+⊝⨔((∥⊫≮⫘↔1110111101010)⩚⊴⇥(≮⫘↔1011010011011⨎≮⫘↔100101000011)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":45282,"operation_count":12,"complexity_ratio":3773.5,"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":3045,"base":2},"right_expr":{"type":"numeric_atoms","value":2449,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1340,"base":2},"right_expr":{"type":"numeric_atoms","value":1079,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2109,"base":2},"right_expr":{"type":"numeric_atoms","value":4761,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5919,"base":2},"right_expr":{"type":"numeric_atoms","value":1403,"base":2}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":7658,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5787,"base":2},"right_expr":{"type":"numeric_atoms","value":2371,"base":2}}}}},"used_operators":["W4YGzv6Whe","DyGG3AbaNP","tifHPKVTfV","bJkvcejdHO","23Mk6UjR3U","uFcxV4UQCh","mp7IySMOzn","i8ToyICDmI","DhbWaqg5eL","NTOWxs364D","P8v4zCKN1o","rJVOvQCfKK"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3045","layer":4},{"info":"number node, value=2449","layer":4},{"info":"compute binary expreesion, left_input=3045, right_input=2449, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=788182","layer":3},{"info":"number node, value=1340","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=1340, right_input=1079, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=818","layer":3},{"info":"compute binary expreesion, left_input=788182, right_input=818, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-787364","layer":2},{"info":"number node, value=2109","layer":4},{"info":"number node, value=4761","layer":4},{"info":"compute binary expreesion, left_input=2109, right_input=4761, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9522","layer":3},{"info":"number node, value=5919","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=5919, right_input=1403, 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=9522, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-787364, 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":1},{"info":"number node, value=7658","layer":4},{"info":"compute unary expreesion, input=7658, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=8526","layer":3},{"info":"number node, value=5787","layer":4},{"info":"number node, value=2371","layer":4},{"info":"compute binary expreesion, left_input=5787, right_input=2371, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2371","layer":3},{"info":"compute binary expreesion, left_input=8526, right_input=2371, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11018","layer":2},{"info":"compute unary expreesion, input=-11018, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101111100101≎⊠⪸≮⫘↔100110010001⇼⇔∾(≮⫘↔10100111100⋷≮⫘↔10000110111))∼((≮⫘↔100000111101⇷≮⫘↔1001010011001)⪛(≮⫘↔1011100011111∲⫓≮⫘↔10101111011))+(+⊝⨔((∥⊫≮⫘↔1110111101010)⩚⊴⇥(≮⫘↔1011010011011⨎≮⫘↔100101000011)))=NaN","reverse_text":"NaN=(≮⫘↔101111100101≎⊠⪸≮⫘↔100110010001⇼⇔∾(≮⫘↔10100111100⋷≮⫘↔10000110111))∼((≮⫘↔100000111101⇷≮⫘↔1001010011001)⪛(≮⫘↔1011100011111∲⫓≮⫘↔10101111011))+(+⊝⨔((∥⊫≮⫘↔1110111101010)⩚⊴⇥(≮⫘↔1011010011011⨎≮⫘↔100101000011)))","cot":[{"info":"≮⫘↔101111100101≎⊠⪸≮⫘↔100110010001=≮⫘↔11000000011011010110","layer":3},{"info":"≮⫘↔10100111100⋷≮⫘↔10000110111=≮⫘↔1100110010","layer":3},{"info":"≮⫘↔11000000011011010110⇼⇔∾≮⫘↔1100110010=≮⫘↔-11000000001110100100","layer":2},{"info":"≮⫘↔100000111101⇷≮⫘↔1001010011001=≮⫘↔10010100110010","layer":3},{"info":"≮⫘↔1011100011111∲⫓≮⫘↔10101111011=≮⫘↔0","layer":3},{"info":"≮⫘↔10010100110010⪛≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔-11000000001110100100∼NaN=NaN","layer":1},{"info":"∥⊫≮⫘↔1110111101010=≮⫘↔10000101001110","layer":3},{"info":"≮⫘↔1011010011011⨎≮⫘↔100101000011=≮⫘↔100101000011","layer":3},{"info":"≮⫘↔10000101001110⩚⊴⇥≮⫘↔100101000011=≮⫘↔-10101100001010","layer":2},{"info":"+⊝⨔≮⫘↔-10101100001010=≮⫘↔10111110010","layer":1},{"info":"NaN+≮⫘↔10111110010=NaN","layer":0}]}
{"id":517,"expression_no_base_symbol":"(⫛⫱⨽(($3605$⨽$1071$)⋝⋈⪟($1012$⩚⊴⇥$4591$)))⨰((⫓⪴$3421$)↬$2034$↬$1738$%$3231$↬$4213$⨓$5407$⇷$8101$)","expression":"(⫛⫱⨽((≮⫘↔111000010101⨽≮⫘↔10000101111)⋝⋈⪟(≮⫘↔1111110100⩚⊴⇥≮⫘↔1000111101111)))⨰((⫓⪴≮⫘↔110101011101)↬≮⫘↔11111110010↬≮⫘↔11011001010%≮⫘↔110010011111↬≮⫘↔1000001110101⨓≮⫘↔1010100011111⇷≮⫘↔1111110100101)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":100385,"operation_count":12,"complexity_ratio":8365.416666666666,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3605,"base":2},"right_expr":{"type":"numeric_atoms","value":1071,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1012,"base":2},"right_expr":{"type":"numeric_atoms","value":4591,"base":2}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3421,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2034,"base":2},"right_expr":{"type":"numeric_atoms","value":1738,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3231,"base":2},"right_expr":{"type":"numeric_atoms","value":4213,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5407,"base":2},"right_expr":{"type":"numeric_atoms","value":8101,"base":2}}}}},"used_operators":["eewbuw0ToL","DlLNRPXxWL","2DDjHMKMc0","8HhzD0ZcuI","NTOWxs364D","k8jYdgA6NY","B5M0gjZbta","eLxqMNBOBk","3ViojmjbAp","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","rGHVDoGpnC","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3605","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=3605, right_input=1071, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-38989974","layer":3},{"info":"number node, value=1012","layer":4},{"info":"number node, value=4591","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=4591, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5724","layer":3},{"info":"compute binary expreesion, left_input=-38989974, right_input=-5724, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-38989974","layer":2},{"info":"compute unary expreesion, input=-38989974, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"number node, value=3421","layer":4},{"info":"compute unary expreesion, input=3421, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=11703241","layer":3},{"info":"number node, value=2034","layer":4},{"info":"number node, value=1738","layer":4},{"info":"compute binary expreesion, left_input=2034, right_input=1738, 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=11703241, 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":2},{"info":"number node, value=3231","layer":4},{"info":"number node, value=4213","layer":4},{"info":"compute binary expreesion, left_input=3231, right_input=4213, 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=5407","layer":4},{"info":"number node, value=8101","layer":4},{"info":"compute binary expreesion, left_input=5407, right_input=8101, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=16202","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16202, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-16205","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-16205, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⫛⫱⨽((≮⫘↔111000010101⨽≮⫘↔10000101111)⋝⋈⪟(≮⫘↔1111110100⩚⊴⇥≮⫘↔1000111101111)))⨰((⫓⪴≮⫘↔110101011101)↬≮⫘↔11111110010↬≮⫘↔11011001010%≮⫘↔110010011111↬≮⫘↔1000001110101⨓≮⫘↔1010100011111⇷≮⫘↔1111110100101)=NaN","reverse_text":"NaN=(⫛⫱⨽((≮⫘↔111000010101⨽≮⫘↔10000101111)⋝⋈⪟(≮⫘↔1111110100⩚⊴⇥≮⫘↔1000111101111)))⨰((⫓⪴≮⫘↔110101011101)↬≮⫘↔11111110010↬≮⫘↔11011001010%≮⫘↔110010011111↬≮⫘↔1000001110101⨓≮⫘↔1010100011111⇷≮⫘↔1111110100101)","cot":[{"info":"≮⫘↔111000010101⨽≮⫘↔10000101111=≮⫘↔-10010100101111000010010110","layer":3},{"info":"≮⫘↔1111110100⩚⊴⇥≮⫘↔1000111101111=≮⫘↔-1011001011100","layer":3},{"info":"≮⫘↔-10010100101111000010010110⋝⋈⪟≮⫘↔-1011001011100=≮⫘↔-10010100101111000010010110","layer":2},{"info":"⫛⫱⨽≮⫘↔-10010100101111000010010110=NaN","layer":1},{"info":"⫓⪴≮⫘↔110101011101=≮⫘↔101100101001001111001001","layer":3},{"info":"≮⫘↔11111110010↬≮⫘↔11011001010=NaN","layer":3},{"info":"≮⫘↔101100101001001111001001↬NaN=NaN","layer":2},{"info":"≮⫘↔110010011111↬≮⫘↔1000001110101=NaN","layer":3},{"info":"≮⫘↔1010100011111⇷≮⫘↔1111110100101=≮⫘↔11111101001010","layer":3},{"info":"NaN⨓≮⫘↔11111101001010=≮⫘↔-11111101001101","layer":2},{"info":"NaN%≮⫘↔-11111101001101=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":518,"expression_no_base_symbol":"($1099$⨳⩥⨓$2753$/(∥⊫$2378$))⨪↰⇹$1127$⊴$5696$⪢($3909$↺$3955$)-($1417$⨐⩸⫘$4125$⇼⇔∾(≦∁$1673$))⪛($1135$⩚⊴⇥$4424$∲⫓$7499$%$2209$)","expression":"(≮⫘↔10001001011⨳⩥⨓≮⫘↔101011000001/(∥⊫≮⫘↔100101001010))⨪↰⇹≮⫘↔10001100111⊴≮⫘↔1011001000000⪢(≮⫘↔111101000101↺≮⫘↔111101110011)-(≮⫘↔10110001001⨐⩸⫘≮⫘↔1000000011101⇼⇔∾(≦∁≮⫘↔11010001001))⪛(≮⫘↔10001101111⩚⊴⇥≮⫘↔1000101001000∲⫓≮⫘↔1110101001011%≮⫘↔100010100001)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9685,"operation_count":15,"complexity_ratio":645.6666666666666,"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":1099,"base":2},"right_expr":{"type":"numeric_atoms","value":2753,"base":2}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2378,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1127,"base":2},"right_expr":{"type":"numeric_atoms","value":5696,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3909,"base":2},"right_expr":{"type":"numeric_atoms","value":3955,"base":2}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1417,"base":2},"right_expr":{"type":"numeric_atoms","value":4125,"base":2}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1673,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1135,"base":2},"right_expr":{"type":"numeric_atoms","value":4424,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7499,"base":2},"right_expr":{"type":"numeric_atoms","value":2209,"base":2}}}}},"used_operators":["rysDP5nf3Z","tmPS8pqC7x","XhwjNDsVaA","nCS4ZIUYfx","P8v4zCKN1o","dWAJyo7jo9","Nsiff2A1zJ","7j4O788W3g","uFcxV4UQCh","tifHPKVTfV","fu6greOZ01","9ICcGScMcE","i8ToyICDmI","NTOWxs364D","k8jYdgA6NY"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1099","layer":4},{"info":"number node, value=2753","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=2753, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1654","layer":3},{"info":"number node, value=2378","layer":4},{"info":"compute unary expreesion, input=2378, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3246","layer":3},{"info":"compute binary expreesion, left_input=1654, right_input=3246, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1127","layer":4},{"info":"number node, value=5696","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=5696, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3909","layer":4},{"info":"number node, value=3955","layer":4},{"info":"compute binary expreesion, left_input=3909, right_input=3955, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3955","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3955, 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=0, 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=0","layer":1},{"info":"number node, value=1417","layer":4},{"info":"number node, value=4125","layer":4},{"info":"compute binary expreesion, left_input=1417, right_input=4125, 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=1673","layer":4},{"info":"compute unary expreesion, input=1673, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1673","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1673, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=1135","layer":4},{"info":"number node, value=4424","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=4424, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5680","layer":3},{"info":"number node, value=7499","layer":4},{"info":"number node, value=2209","layer":4},{"info":"compute binary expreesion, left_input=7499, right_input=2209, op_id = k8jYdgA6NY binary_op_definition= 'None', output=872","layer":3},{"info":"compute binary expreesion, left_input=-5680, right_input=872, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, 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=0, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10001001011⨳⩥⨓≮⫘↔101011000001/(∥⊫≮⫘↔100101001010))⨪↰⇹≮⫘↔10001100111⊴≮⫘↔1011001000000⪢(≮⫘↔111101000101↺≮⫘↔111101110011)-(≮⫘↔10110001001⨐⩸⫘≮⫘↔1000000011101⇼⇔∾(≦∁≮⫘↔11010001001))⪛(≮⫘↔10001101111⩚⊴⇥≮⫘↔1000101001000∲⫓≮⫘↔1110101001011%≮⫘↔100010100001)=NaN","reverse_text":"NaN=(≮⫘↔10001001011⨳⩥⨓≮⫘↔101011000001/(∥⊫≮⫘↔100101001010))⨪↰⇹≮⫘↔10001100111⊴≮⫘↔1011001000000⪢(≮⫘↔111101000101↺≮⫘↔111101110011)-(≮⫘↔10110001001⨐⩸⫘≮⫘↔1000000011101⇼⇔∾(≦∁≮⫘↔11010001001))⪛(≮⫘↔10001101111⩚⊴⇥≮⫘↔1000101001000∲⫓≮⫘↔1110101001011%≮⫘↔100010100001)","cot":[{"info":"≮⫘↔10001001011⨳⩥⨓≮⫘↔101011000001=≮⫘↔11001110110","layer":3},{"info":"∥⊫≮⫘↔100101001010=≮⫘↔110010101110","layer":3},{"info":"≮⫘↔11001110110/≮⫘↔110010101110=≮⫘↔0","layer":2},{"info":"≮⫘↔10001100111⊴≮⫘↔1011001000000=NaN","layer":3},{"info":"≮⫘↔111101000101↺≮⫘↔111101110011=≮⫘↔111101110011","layer":3},{"info":"NaN⪢≮⫘↔111101110011=NaN","layer":2},{"info":"≮⫘↔0⨪↰⇹NaN=≮⫘↔0","layer":1},{"info":"≮⫘↔10110001001⨐⩸⫘≮⫘↔1000000011101=NaN","layer":3},{"info":"≦∁≮⫘↔11010001001=≮⫘↔11010001001","layer":3},{"info":"NaN⇼⇔∾≮⫘↔11010001001=NaN","layer":2},{"info":"≮⫘↔10001101111⩚⊴⇥≮⫘↔1000101001000=≮⫘↔-1011000110000","layer":3},{"info":"≮⫘↔1110101001011%≮⫘↔100010100001=≮⫘↔1101101000","layer":3},{"info":"≮⫘↔-1011000110000∲⫓≮⫘↔1101101000=≮⫘↔0","layer":2},{"info":"NaN⪛≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔0-NaN=NaN","layer":0}]}
{"id":519,"expression_no_base_symbol":"(⨞⊢(+⊝⨔$2338$))⪛((↔$4370$)⋷($1491$⨵⪆$5817$))∑⇟⊟(($2176$⫩⊇)⊴($1204$⫥∨⫟$6776$)⫥∨⫟($2243$⫥∨⫟$2910$⪒($2467$/$1604$)))","expression":"(⨞⊢(+⊝⨔≮⫘↔100100100010))⪛((↔≮⫘↔1000100010010)⋷(≮⫘↔10111010011⨵⪆≮⫘↔1011010111001))∑⇟⊟((≮⫘↔100010000000⫩⊇)⊴(≮⫘↔10010110100⫥∨⫟≮⫘↔1101001111000)⫥∨⫟(≮⫘↔100011000011⫥∨⫟≮⫘↔101101011110⪒(≮⫘↔100110100011/≮⫘↔11001000100)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":532,"operation_count":14,"complexity_ratio":38.0,"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":2338,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4370,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1491,"base":2},"right_expr":{"type":"numeric_atoms","value":5817,"base":2}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2176,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1204,"base":2},"right_expr":{"type":"numeric_atoms","value":6776,"base":2}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2243,"base":2},"right_expr":{"type":"numeric_atoms","value":2910,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2467,"base":2},"right_expr":{"type":"numeric_atoms","value":1604,"base":2}}}}},"used_operators":["U7g4x0WXJJ","uFcxV4UQCh","xUOZtlo3hN","DhbWaqg5eL","23Mk6UjR3U","ruOEQAzv1W","2DQ55sFlQl","KYD54nUTWz","Nsiff2A1zJ","BjRHVeLaeN","f6k1SAg4EE","XhwjNDsVaA"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2338","layer":4},{"info":"compute unary expreesion, input=2338, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1696","layer":2},{"info":"number node, value=4370","layer":4},{"info":"compute unary expreesion, input=4370, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4097","layer":3},{"info":"number node, value=1491","layer":4},{"info":"number node, value=5817","layer":4},{"info":"compute binary expreesion, left_input=1491, right_input=5817, 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=-4097, right_input=160, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8194","layer":2},{"info":"compute binary expreesion, left_input=-1696, right_input=8194, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=6498","layer":1},{"info":"number node, value=2176","layer":4},{"info":"compute unary expreesion, input=2176, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2134","layer":3},{"info":"number node, value=1204","layer":4},{"info":"number node, value=6776","layer":4},{"info":"compute binary expreesion, left_input=1204, right_input=6776, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2134, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2243","layer":4},{"info":"number node, value=2910","layer":4},{"info":"compute binary expreesion, left_input=2243, right_input=2910, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2467","layer":4},{"info":"number node, value=1604","layer":4},{"info":"compute binary expreesion, left_input=2467, right_input=1604, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6498, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨞⊢(+⊝⨔≮⫘↔100100100010))⪛((↔≮⫘↔1000100010010)⋷(≮⫘↔10111010011⨵⪆≮⫘↔1011010111001))∑⇟⊟((≮⫘↔100010000000⫩⊇)⊴(≮⫘↔10010110100⫥∨⫟≮⫘↔1101001111000)⫥∨⫟(≮⫘↔100011000011⫥∨⫟≮⫘↔101101011110⪒(≮⫘↔100110100011/≮⫘↔11001000100)))=NaN","reverse_text":"NaN=(⨞⊢(+⊝⨔≮⫘↔100100100010))⪛((↔≮⫘↔1000100010010)⋷(≮⫘↔10111010011⨵⪆≮⫘↔1011010111001))∑⇟⊟((≮⫘↔100010000000⫩⊇)⊴(≮⫘↔10010110100⫥∨⫟≮⫘↔1101001111000)⫥∨⫟(≮⫘↔100011000011⫥∨⫟≮⫘↔101101011110⪒(≮⫘↔100110100011/≮⫘↔11001000100)))","cot":[{"info":"+⊝⨔≮⫘↔100100100010=≮⫘↔10111110010","layer":3},{"info":"⨞⊢≮⫘↔10111110010=≮⫘↔-11010100000","layer":2},{"info":"↔≮⫘↔1000100010010=≮⫘↔-1000000000001","layer":3},{"info":"≮⫘↔10111010011⨵⪆≮⫘↔1011010111001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-1000000000001⋷≮⫘↔10100000=≮⫘↔10000000000010","layer":2},{"info":"≮⫘↔-11010100000⪛≮⫘↔10000000000010=≮⫘↔1100101100010","layer":1},{"info":"≮⫘↔100010000000⫩⊇=≮⫘↔-100001010110","layer":3},{"info":"≮⫘↔10010110100⫥∨⫟≮⫘↔1101001111000=NaN","layer":3},{"info":"≮⫘↔-100001010110⊴NaN=NaN","layer":2},{"info":"≮⫘↔100011000011⫥∨⫟≮⫘↔101101011110=NaN","layer":3},{"info":"≮⫘↔100110100011/≮⫘↔11001000100=≮⫘↔1","layer":3},{"info":"NaN⪒≮⫘↔1=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"≮⫘↔1100101100010∑⇟⊟NaN=NaN","layer":0}]}
{"id":520,"expression_no_base_symbol":"(⫓⪴($1466$⊠≄⫣)⇷$4239$⪢$1970$)∀⇚≩(↩(⨞⊢$1593$)⪛($3288$⪛$3204$))","expression":"(⫓⪴(≮⫘↔10110111010⊠≄⫣)⇷≮⫘↔1000010001111⪢≮⫘↔11110110010)∀⇚≩(↩(⨞⊢≮⫘↔11000111001)⪛(≮⫘↔110011011000⪛≮⫘↔110010000100))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2356,"operation_count":9,"complexity_ratio":261.77777777777777,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1466,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4239,"base":2},"right_expr":{"type":"numeric_atoms","value":1970,"base":2}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1593,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3288,"base":2},"right_expr":{"type":"numeric_atoms","value":3204,"base":2}}}}},"used_operators":["LRNGc0VcxI","eLxqMNBOBk","mp7IySMOzn","DIvbN7qnHd","dWAJyo7jo9","jLgFTUHLKL","uFcxV4UQCh","xUOZtlo3hN"],"dependent_operators":["X99M06cbEe","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1466","layer":4},{"info":"compute unary expreesion, input=1466, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=4239","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=4239, right_input=1970, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"number node, value=1593","layer":4},{"info":"compute unary expreesion, input=1593, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1767","layer":3},{"info":"number node, value=3288","layer":4},{"info":"number node, value=3204","layer":4},{"info":"compute binary expreesion, left_input=3288, right_input=3204, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=84","layer":3},{"info":"compute binary expreesion, left_input=-1767, right_input=84, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=81","layer":2},{"info":"compute unary expreesion, input=81, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=2132","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2132, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⫓⪴(≮⫘↔10110111010⊠≄⫣)⇷≮⫘↔1000010001111⪢≮⫘↔11110110010)∀⇚≩(↩(⨞⊢≮⫘↔11000111001)⪛(≮⫘↔110011011000⪛≮⫘↔110010000100))=NaN","reverse_text":"NaN=(⫓⪴(≮⫘↔10110111010⊠≄⫣)⇷≮⫘↔1000010001111⪢≮⫘↔11110110010)∀⇚≩(↩(⨞⊢≮⫘↔11000111001)⪛(≮⫘↔110011011000⪛≮⫘↔110010000100))","cot":[{"info":"≮⫘↔10110111010⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔1000010001111⪢≮⫘↔11110110010=NaN","layer":3},{"info":"≮⫘↔0⇷NaN=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"⨞⊢≮⫘↔11000111001=≮⫘↔-11011100111","layer":3},{"info":"≮⫘↔110011011000⪛≮⫘↔110010000100=≮⫘↔1010100","layer":3},{"info":"≮⫘↔-11011100111⪛≮⫘↔1010100=≮⫘↔1010001","layer":2},{"info":"↩≮⫘↔1010001=≮⫘↔100001010100","layer":1},{"info":"NaN∀⇚≩≮⫘↔100001010100=NaN","layer":0}]}
{"id":521,"expression_no_base_symbol":"(⊙↵-($6332$⪛$4443$))⨟⋌⩍($1108$⫥∨⫟$5698$)⪮%⊝(↥$4974$)∀⇚≩($2863$⊴$2171$⨓$3275$⪘⫢$3947$⊠≄⫣)","expression":"(⊙↵-(≮⫘↔1100010111100⪛≮⫘↔1000101011011))⨟⋌⩍(≮⫘↔10001010100⫥∨⫟≮⫘↔1011001000010)⪮%⊝(↥≮⫘↔1001101101110)∀⇚≩(≮⫘↔101100101111⊴≮⫘↔100001111011⨓≮⫘↔110011001011⪘⫢≮⫘↔111101101011⊠≄⫣)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14894,"operation_count":11,"complexity_ratio":1354.0,"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":6332,"base":2},"right_expr":{"type":"numeric_atoms","value":4443,"base":2}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1108,"base":2},"right_expr":{"type":"numeric_atoms","value":5698,"base":2}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4974,"base":2}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2863,"base":2},"right_expr":{"type":"numeric_atoms","value":2171,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3275,"base":2},"right_expr":{"type":"numeric_atoms","value":3947,"base":2}}}}},"used_operators":["LRNGc0VcxI","rGHVDoGpnC","oWn0xqSxBt","uFcxV4UQCh","IWmyXbctLI","KYD54nUTWz","A8NUZmVepG","DIvbN7qnHd","3ViojmjbAp","Nsiff2A1zJ","oacrs7FA3X"],"dependent_operators":["X99M06cbEe","Tcnh7f0tEr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6332","layer":4},{"info":"number node, value=4443","layer":4},{"info":"compute binary expreesion, left_input=6332, right_input=4443, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1889","layer":3},{"info":"compute unary expreesion, input=1889, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=1108","layer":4},{"info":"number node, value=5698","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=5698, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4974","layer":4},{"info":"compute unary expreesion, input=4974, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=27","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=27, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, 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":"number node, value=2863","layer":4},{"info":"number node, value=2171","layer":4},{"info":"compute binary expreesion, left_input=2863, right_input=2171, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3275","layer":4},{"info":"number node, value=3947","layer":4},{"info":"compute binary expreesion, left_input=3275, right_input=3947, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6426","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6426, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6429","layer":2},{"info":"compute unary expreesion, input=-6429, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":0}],"base":2,"result_base":2,"text":"(⊙↵-(≮⫘↔1100010111100⪛≮⫘↔1000101011011))⨟⋌⩍(≮⫘↔10001010100⫥∨⫟≮⫘↔1011001000010)⪮%⊝(↥≮⫘↔1001101101110)∀⇚≩(≮⫘↔101100101111⊴≮⫘↔100001111011⨓≮⫘↔110011001011⪘⫢≮⫘↔111101101011⊠≄⫣)=NaN","reverse_text":"NaN=(⊙↵-(≮⫘↔1100010111100⪛≮⫘↔1000101011011))⨟⋌⩍(≮⫘↔10001010100⫥∨⫟≮⫘↔1011001000010)⪮%⊝(↥≮⫘↔1001101101110)∀⇚≩(≮⫘↔101100101111⊴≮⫘↔100001111011⨓≮⫘↔110011001011⪘⫢≮⫘↔111101101011⊠≄⫣)","cot":[{"info":"≮⫘↔1100010111100⪛≮⫘↔1000101011011=≮⫘↔11101100001","layer":3},{"info":"⊙↵-≮⫘↔11101100001=≮⫘↔-1","layer":2},{"info":"≮⫘↔10001010100⫥∨⫟≮⫘↔1011001000010=NaN","layer":3},{"info":"↥≮⫘↔1001101101110=≮⫘↔11011","layer":3},{"info":"NaN⪮%⊝≮⫘↔11011=NaN","layer":2},{"info":"≮⫘↔-1⨟⋌⩍NaN=NaN","layer":1},{"info":"≮⫘↔101100101111⊴≮⫘↔100001111011=NaN","layer":3},{"info":"≮⫘↔110011001011⪘⫢≮⫘↔111101101011=≮⫘↔1100100011010","layer":3},{"info":"NaN⨓≮⫘↔1100100011010=≮⫘↔-1100100011101","layer":2},{"info":"≮⫘↔-1100100011101⊠≄⫣=≮⫘↔0","layer":1},{"info":"NaN∀⇚≩≮⫘↔0=NaN","layer":0}]}
{"id":522,"expression_no_base_symbol":"($2589$⇷$2857$⨳⩥⨓($1104$⊦⊿))⪮%⊝($2377$⩨$3567$-($1355$⫡⨏$2909$))⋓(((⩦⩻⨪$2774$)≣⋋)⊉≛↸(≤/($1415$↪⪝)))","expression":"(≮⫘↔101000011101⇷≮⫘↔101100101001⨳⩥⨓(≮⫘↔10001010000⊦⊿))⪮%⊝(≮⫘↔100101001001⩨≮⫘↔110111101111-(≮⫘↔10101001011⫡⨏≮⫘↔101101011101))⋓(((⩦⩻⨪≮⫘↔101011010110)≣⋋)⊉≛↸(≤/(≮⫘↔10110000111↪⪝)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":37515,"operation_count":13,"complexity_ratio":2885.769230769231,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2589,"base":2},"right_expr":{"type":"numeric_atoms","value":2857,"base":2}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1104,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2377,"base":2},"right_expr":{"type":"numeric_atoms","value":3567,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1355,"base":2},"right_expr":{"type":"numeric_atoms","value":2909,"base":2}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2774,"base":2}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1415,"base":2}}}}},"used_operators":["T2fj7uvVaJ","IWmyXbctLI","nCS4ZIUYfx","mp7IySMOzn","14qkJME0vr","rysDP5nf3Z","2DlMacCsIx","QMFrweE19q","DZ8iAZOCBD","Tcnh7f0tEr","2td37pGCOC","eLAdDNolq6","l07mrZUIn9"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2589","layer":4},{"info":"number node, value=2857","layer":4},{"info":"compute binary expreesion, left_input=2589, right_input=2857, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5714","layer":3},{"info":"number node, value=1104","layer":4},{"info":"compute unary expreesion, input=1104, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3391","layer":3},{"info":"compute binary expreesion, left_input=5714, right_input=-3391, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-9105","layer":2},{"info":"number node, value=2377","layer":4},{"info":"number node, value=3567","layer":4},{"info":"compute binary expreesion, left_input=2377, right_input=3567, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1355","layer":4},{"info":"number node, value=2909","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=2909, 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=13376","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=13376, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-13379","layer":2},{"info":"compute binary expreesion, left_input=-9105, right_input=-13379, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-17894","layer":1},{"info":"number node, value=2774","layer":4},{"info":"compute unary expreesion, input=2774, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2774","layer":3},{"info":"compute unary expreesion, input=2774, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"number node, value=1415","layer":4},{"info":"compute unary expreesion, input=1415, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=86572530","layer":3},{"info":"compute unary expreesion, input=86572530, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-86572046","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-86572046, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-17894, 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":0}],"base":2,"result_base":2,"text":"(≮⫘↔101000011101⇷≮⫘↔101100101001⨳⩥⨓(≮⫘↔10001010000⊦⊿))⪮%⊝(≮⫘↔100101001001⩨≮⫘↔110111101111-(≮⫘↔10101001011⫡⨏≮⫘↔101101011101))⋓(((⩦⩻⨪≮⫘↔101011010110)≣⋋)⊉≛↸(≤/(≮⫘↔10110000111↪⪝)))=≮⫘↔0","reverse_text":"≮⫘↔0=(≮⫘↔101000011101⇷≮⫘↔101100101001⨳⩥⨓(≮⫘↔10001010000⊦⊿))⪮%⊝(≮⫘↔100101001001⩨≮⫘↔110111101111-(≮⫘↔10101001011⫡⨏≮⫘↔101101011101))⋓(((⩦⩻⨪≮⫘↔101011010110)≣⋋)⊉≛↸(≤/(≮⫘↔10110000111↪⪝)))","cot":[{"info":"≮⫘↔101000011101⇷≮⫘↔101100101001=≮⫘↔1011001010010","layer":3},{"info":"≮⫘↔10001010000⊦⊿=≮⫘↔-110100111111","layer":3},{"info":"≮⫘↔1011001010010⨳⩥⨓≮⫘↔-110100111111=≮⫘↔-10001110010001","layer":2},{"info":"≮⫘↔100101001001⩨≮⫘↔110111101111=≮⫘↔-11","layer":3},{"info":"≮⫘↔10101001011⫡⨏≮⫘↔101101011101=≮⫘↔11010001000000","layer":3},{"info":"≮⫘↔-11-≮⫘↔11010001000000=≮⫘↔-11010001000011","layer":2},{"info":"≮⫘↔-10001110010001⪮%⊝≮⫘↔-11010001000011=≮⫘↔-100010111100110","layer":1},{"info":"⩦⩻⨪≮⫘↔101011010110=≮⫘↔101011010110","layer":3},{"info":"≮⫘↔101011010110≣⋋=≮⫘↔0","layer":2},{"info":"≮⫘↔10110000111↪⪝=≮⫘↔101001010001111110111110010","layer":3},{"info":"≤/≮⫘↔101001010001111110111110010=≮⫘↔-101001010001111110000001110","layer":2},{"info":"≮⫘↔0⊉≛↸≮⫘↔-101001010001111110000001110=≮⫘↔0","layer":1},{"info":"≮⫘↔-100010111100110⋓≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":523,"expression_no_base_symbol":"⪝⪂⫅((↔$2058$)∑⇟⊟($6181$≎⊠⪸$1056$)⋷$9257$↺$1495$∲⫓($8914$⇋≉))","expression":"⪝⪂⫅((↔≮⫘↔100000001010)∑⇟⊟(≮⫘↔1100000100101≎⊠⪸≮⫘↔10000100000)⋷≮⫘↔10010000101001↺≮⫘↔10111010111∲⫓(≮⫘↔10001011010010⇋≉))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":291,"operation_count":8,"complexity_ratio":36.375,"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":2058,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6181,"base":2},"right_expr":{"type":"numeric_atoms","value":1056,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":9257,"base":2},"right_expr":{"type":"numeric_atoms","value":1495,"base":2}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":8914,"base":2}}}}},"used_operators":["XTarYq4gQB","23Mk6UjR3U","U7g4x0WXJJ","ruOEQAzv1W","bJkvcejdHO","i8ToyICDmI","7j4O788W3g","XIabStNQrY"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2058","layer":4},{"info":"compute unary expreesion, input=2058, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1785","layer":3},{"info":"number node, value=6181","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=6181, right_input=1056, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1600406","layer":3},{"info":"compute binary expreesion, left_input=-1785, right_input=1600406, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=9257","layer":4},{"info":"number node, value=1495","layer":4},{"info":"compute binary expreesion, left_input=9257, right_input=1495, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1495","layer":3},{"info":"number node, value=8914","layer":4},{"info":"compute unary expreesion, input=8914, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=17730","layer":3},{"info":"compute binary expreesion, left_input=1495, right_input=17730, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⪝⪂⫅((↔≮⫘↔100000001010)∑⇟⊟(≮⫘↔1100000100101≎⊠⪸≮⫘↔10000100000)⋷≮⫘↔10010000101001↺≮⫘↔10111010111∲⫓(≮⫘↔10001011010010⇋≉))=NaN","reverse_text":"NaN=⪝⪂⫅((↔≮⫘↔100000001010)∑⇟⊟(≮⫘↔1100000100101≎⊠⪸≮⫘↔10000100000)⋷≮⫘↔10010000101001↺≮⫘↔10111010111∲⫓(≮⫘↔10001011010010⇋≉))","cot":[{"info":"↔≮⫘↔100000001010=≮⫘↔-11011111001","layer":3},{"info":"≮⫘↔1100000100101≎⊠⪸≮⫘↔10000100000=≮⫘↔110000110101110010110","layer":3},{"info":"≮⫘↔-11011111001∑⇟⊟≮⫘↔110000110101110010110=NaN","layer":2},{"info":"≮⫘↔10010000101001↺≮⫘↔10111010111=≮⫘↔10111010111","layer":3},{"info":"≮⫘↔10001011010010⇋≉=≮⫘↔100010101000010","layer":3},{"info":"≮⫘↔10111010111∲⫓≮⫘↔100010101000010=≮⫘↔0","layer":2},{"info":"NaN⋷≮⫘↔0=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":524,"expression_no_base_symbol":"⋗⩬⋾((($6780$⪒$2677$)≦≮≮)⊪)","expression":"⋗⩬⋾(((≮⫘↔1101001111100⪒≮⫘↔101001110101)≦≮≮)⊪)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":42,"operation_count":4,"complexity_ratio":10.5,"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":6780,"base":2},"right_expr":{"type":"numeric_atoms","value":2677,"base":2}}}}},"used_operators":["DpFCA1CohY","zVYPLywUTj","D4vGDi5EA2","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6780","layer":4},{"info":"number node, value=2677","layer":4},{"info":"compute binary expreesion, left_input=6780, right_input=2677, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9457","layer":3},{"info":"compute unary expreesion, input=-9457, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=28371","layer":2},{"info":"compute unary expreesion, input=28371, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"⋗⩬⋾(((≮⫘↔1101001111100⪒≮⫘↔101001110101)≦≮≮)⊪)=≮⫘↔0","reverse_text":"≮⫘↔0=⋗⩬⋾(((≮⫘↔1101001111100⪒≮⫘↔101001110101)≦≮≮)⊪)","cot":[{"info":"≮⫘↔1101001111100⪒≮⫘↔101001110101=≮⫘↔-10010011110001","layer":3},{"info":"≮⫘↔-10010011110001≦≮≮=≮⫘↔110111011010011","layer":2},{"info":"≮⫘↔110111011010011⊪=≮⫘↔0","layer":1},{"info":"⋗⩬⋾≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":525,"expression_no_base_symbol":"(↥(-$7169$)∀⇚≩$4382$⪢$3878$)⋫","expression":"(↥(-≮⫘↔1110000000001)∀⇚≩≮⫘↔1000100011110⪢≮⫘↔111100100110)⋫","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":54417,"operation_count":5,"complexity_ratio":10883.4,"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":7169,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4382,"base":2},"right_expr":{"type":"numeric_atoms","value":3878,"base":2}}}}},"used_operators":["JL8yIekQnl","A8NUZmVepG","LRNGc0VcxI","t8gj7n24qd","dWAJyo7jo9"],"dependent_operators":["tmPS8pqC7x","k8jYdgA6NY","X99M06cbEe","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7169","layer":4},{"info":"compute unary expreesion, input=7169, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-7169","layer":3},{"info":"number node, value=4382","layer":4},{"info":"number node, value=3878","layer":4},{"info":"compute binary expreesion, left_input=4382, right_input=3878, 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=-7169, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↥(-≮⫘↔1110000000001)∀⇚≩≮⫘↔1000100011110⪢≮⫘↔111100100110)⋫=NaN","reverse_text":"NaN=(↥(-≮⫘↔1110000000001)∀⇚≩≮⫘↔1000100011110⪢≮⫘↔111100100110)⋫","cot":[{"info":"-≮⫘↔1110000000001=≮⫘↔-1110000000001","layer":3},{"info":"≮⫘↔1000100011110⪢≮⫘↔111100100110=NaN","layer":3},{"info":"≮⫘↔-1110000000001∀⇚≩NaN=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":526,"expression_no_base_symbol":"((⨑⩽⪐$2404$)↬($2822$⋥≓≎$1249$)⊉≛↸(⫛⫱⨽(⨞⊢$5384$)))⋥≓≎(((↩$3382$)⩨$7606$⨐⩸⫘$1927$)∧)","expression":"((⨑⩽⪐≮⫘↔100101100100)↬(≮⫘↔101100000110⋥≓≎≮⫘↔10011100001)⊉≛↸(⫛⫱⨽(⨞⊢≮⫘↔1010100001000)))⋥≓≎(((↩≮⫘↔110100110110)⩨≮⫘↔1110110110110⨐⩸⫘≮⫘↔11110000111)∧)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1466,"operation_count":11,"complexity_ratio":133.27272727272728,"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":2404,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2822,"base":2},"right_expr":{"type":"numeric_atoms","value":1249,"base":2}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5384,"base":2}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3382,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":7606,"base":2},"right_expr":{"type":"numeric_atoms","value":1927,"base":2}}}}},"used_operators":["Qy55tPpLXF","DZ8iAZOCBD","B5M0gjZbta","AF7qkfDlqP","DlLNRPXxWL","xUOZtlo3hN","z63VuFQld9","2DlMacCsIx","jLgFTUHLKL","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","3ViojmjbAp"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2404","layer":4},{"info":"compute unary expreesion, input=2404, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2131","layer":3},{"info":"number node, value=2822","layer":4},{"info":"number node, value=1249","layer":4},{"info":"compute binary expreesion, left_input=2822, right_input=1249, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-291","layer":3},{"info":"compute binary expreesion, left_input=-2131, right_input=-291, 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=5384","layer":4},{"info":"compute unary expreesion, input=5384, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5558","layer":3},{"info":"compute unary expreesion, input=-5558, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=3382","layer":4},{"info":"compute unary expreesion, input=3382, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-24276","layer":3},{"info":"number node, value=7606","layer":4},{"info":"number node, value=1927","layer":4},{"info":"compute binary expreesion, left_input=7606, right_input=1927, 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=-24276, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"((⨑⩽⪐≮⫘↔100101100100)↬(≮⫘↔101100000110⋥≓≎≮⫘↔10011100001)⊉≛↸(⫛⫱⨽(⨞⊢≮⫘↔1010100001000)))⋥≓≎(((↩≮⫘↔110100110110)⩨≮⫘↔1110110110110⨐⩸⫘≮⫘↔11110000111)∧)=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=((⨑⩽⪐≮⫘↔100101100100)↬(≮⫘↔101100000110⋥≓≎≮⫘↔10011100001)⊉≛↸(⫛⫱⨽(⨞⊢≮⫘↔1010100001000)))⋥≓≎(((↩≮⫘↔110100110110)⩨≮⫘↔1110110110110⨐⩸⫘≮⫘↔11110000111)∧)","cot":[{"info":"⨑⩽⪐≮⫘↔100101100100=≮⫘↔-100001010011","layer":3},{"info":"≮⫘↔101100000110⋥≓≎≮⫘↔10011100001=≮⫘↔-100100011","layer":3},{"info":"≮⫘↔-100001010011↬≮⫘↔-100100011=NaN","layer":2},{"info":"⨞⊢≮⫘↔1010100001000=≮⫘↔-1010110110110","layer":3},{"info":"⫛⫱⨽≮⫘↔-1010110110110=≮⫘↔0","layer":2},{"info":"NaN⊉≛↸≮⫘↔0=NaN","layer":1},{"info":"↩≮⫘↔110100110110=≮⫘↔-101111011010100","layer":3},{"info":"≮⫘↔1110110110110⨐⩸⫘≮⫘↔11110000111=NaN","layer":3},{"info":"≮⫘↔-101111011010100⩨NaN=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"NaN⋥≓≎NaN=≮⫘↔1000011","layer":0}]}
{"id":527,"expression_no_base_symbol":"(⇁⨣⪵($6579$↛⩡⫤))⫥∨⫟($2043$↬$5622$⊘)↪⪝","expression":"(⇁⨣⪵(≮⫘↔1100110110011↛⩡⫤))⫥∨⫟(≮⫘↔11111111011↬≮⫘↔1010111110110⊘)↪⪝","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":20053,"operation_count":6,"complexity_ratio":3342.1666666666665,"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":6579,"base":2}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2043,"base":2},"right_expr":{"type":"numeric_atoms","value":5622,"base":2}}}}},"used_operators":["l07mrZUIn9","KYD54nUTWz","inkyxCbjAn","FU0Cs4j7VP","gu96TGCTMs","B5M0gjZbta"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6579","layer":4},{"info":"compute unary expreesion, input=6579, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-989518","layer":3},{"info":"compute unary expreesion, input=-989518, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=2043","layer":4},{"info":"number node, value=5622","layer":4},{"info":"compute binary expreesion, left_input=2043, right_input=5622, 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 = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⇁⨣⪵(≮⫘↔1100110110011↛⩡⫤))⫥∨⫟(≮⫘↔11111111011↬≮⫘↔1010111110110⊘)↪⪝=NaN","reverse_text":"NaN=(⇁⨣⪵(≮⫘↔1100110110011↛⩡⫤))⫥∨⫟(≮⫘↔11111111011↬≮⫘↔1010111110110⊘)↪⪝","cot":[{"info":"≮⫘↔1100110110011↛⩡⫤=≮⫘↔-11110001100101001110","layer":3},{"info":"⇁⨣⪵≮⫘↔-11110001100101001110=NaN","layer":2},{"info":"≮⫘↔11111111011↬≮⫘↔1010111110110=NaN","layer":3},{"info":"NaN⊘=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":528,"expression_no_base_symbol":"+⊝⨔(↽≂$6438$⊴$2522$⩷∴(≦∁$2145$))","expression":"+⊝⨔(↽≂≮⫘↔1100100100110⊴≮⫘↔100111011010⩷∴(≦∁≮⫘↔100001100001))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":4205,"operation_count":5,"complexity_ratio":841.0,"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":6438,"base":2},"right_expr":{"type":"numeric_atoms","value":2522,"base":2}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2145,"base":2}}}}},"used_operators":["DhbWaqg5eL","u6S6b8DprG","9FxExcQeMw","Nsiff2A1zJ","9ICcGScMcE"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"≮⫘↔10111110010","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=6438","layer":4},{"info":"number node, value=2522","layer":4},{"info":"compute binary expreesion, left_input=6438, right_input=2522, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2145","layer":4},{"info":"compute unary expreesion, input=2145, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2145","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2145, 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 = 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":"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":2,"result_base":2,"text":"+⊝⨔(↽≂≮⫘↔1100100100110⊴≮⫘↔100111011010⩷∴(≦∁≮⫘↔100001100001))=≮⫘↔10111110010","reverse_text":"≮⫘↔10111110010=+⊝⨔(↽≂≮⫘↔1100100100110⊴≮⫘↔100111011010⩷∴(≦∁≮⫘↔100001100001))","cot":[{"info":"≮⫘↔1100100100110⊴≮⫘↔100111011010=NaN","layer":3},{"info":"≦∁≮⫘↔100001100001=≮⫘↔100001100001","layer":3},{"info":"NaN⩷∴≮⫘↔100001100001=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"+⊝⨔NaN=≮⫘↔10111110010","layer":0}]}
{"id":529,"expression_no_base_symbol":"($2630$⪮%⊝$2034$≋⫹)⩷∴(⨵≀≌$4290$⪮%⊝$2363$)⋝⋈⪟($8562$≧⫂∧$1003$≧⫂∧($3945$⋓$4017$)⪨≂(($3792$⫌⩹⨱)+$6011$≹⇙⪍$4173$))","expression":"(≮⫘↔101001000110⪮%⊝≮⫘↔11111110010≋⫹)⩷∴(⨵≀≌≮⫘↔1000011000010⪮%⊝≮⫘↔100100111011)⋝⋈⪟(≮⫘↔10000101110010≧⫂∧≮⫘↔1111101011≧⫂∧(≮⫘↔111101101001⋓≮⫘↔111110110001)⪨≂((≮⫘↔111011010000⫌⩹⨱)+≮⫘↔1011101111011≹⇙⪍≮⫘↔1000001001101))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":62,"operation_count":13,"complexity_ratio":4.769230769230769,"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":2630,"base":2},"right_expr":{"type":"numeric_atoms","value":2034,"base":2}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4290,"base":2},"right_expr":{"type":"numeric_atoms","value":2363,"base":2}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":8562,"base":2},"right_expr":{"type":"numeric_atoms","value":1003,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3945,"base":2},"right_expr":{"type":"numeric_atoms","value":4017,"base":2}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3792,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6011,"base":2},"right_expr":{"type":"numeric_atoms","value":4173,"base":2}}}}},"used_operators":["2DDjHMKMc0","9FxExcQeMw","N41Kp7NANJ","IWmyXbctLI","srAu1WTS94","sdazOOVcIp","Ph9nP6C5qx","T2fj7uvVaJ","W4YGzv6Whe","EBcxylXtPf","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2630","layer":4},{"info":"number node, value=2034","layer":4},{"info":"compute binary expreesion, left_input=2630, right_input=2034, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5576","layer":3},{"info":"compute unary expreesion, input=5576, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-11152","layer":2},{"info":"number node, value=4290","layer":4},{"info":"number node, value=2363","layer":4},{"info":"compute binary expreesion, left_input=4290, right_input=2363, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8896","layer":3},{"info":"compute unary expreesion, input=8896, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-26688","layer":2},{"info":"compute binary expreesion, left_input=-11152, right_input=-26688, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=31040","layer":1},{"info":"number node, value=8562","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=8562, right_input=1003, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=530","layer":3},{"info":"number node, value=3945","layer":4},{"info":"number node, value=4017","layer":4},{"info":"compute binary expreesion, left_input=3945, right_input=4017, 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=530, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":2},{"info":"number node, value=3792","layer":4},{"info":"compute unary expreesion, input=3792, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8985","layer":3},{"info":"number node, value=6011","layer":4},{"info":"number node, value=4173","layer":4},{"info":"compute binary expreesion, left_input=6011, right_input=4173, 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=8985, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-473, 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=31040, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101001000110⪮%⊝≮⫘↔11111110010≋⫹)⩷∴(⨵≀≌≮⫘↔1000011000010⪮%⊝≮⫘↔100100111011)⋝⋈⪟(≮⫘↔10000101110010≧⫂∧≮⫘↔1111101011≧⫂∧(≮⫘↔111101101001⋓≮⫘↔111110110001)⪨≂((≮⫘↔111011010000⫌⩹⨱)+≮⫘↔1011101111011≹⇙⪍≮⫘↔1000001001101))=NaN","reverse_text":"NaN=(≮⫘↔101001000110⪮%⊝≮⫘↔11111110010≋⫹)⩷∴(⨵≀≌≮⫘↔1000011000010⪮%⊝≮⫘↔100100111011)⋝⋈⪟(≮⫘↔10000101110010≧⫂∧≮⫘↔1111101011≧⫂∧(≮⫘↔111101101001⋓≮⫘↔111110110001)⪨≂((≮⫘↔111011010000⫌⩹⨱)+≮⫘↔1011101111011≹⇙⪍≮⫘↔1000001001101))","cot":[{"info":"≮⫘↔101001000110⪮%⊝≮⫘↔11111110010=≮⫘↔1010111001000","layer":3},{"info":"≮⫘↔1010111001000≋⫹=≮⫘↔-10101110010000","layer":2},{"info":"≮⫘↔1000011000010⪮%⊝≮⫘↔100100111011=≮⫘↔10001011000000","layer":3},{"info":"⨵≀≌≮⫘↔10001011000000=≮⫘↔-110100001000000","layer":2},{"info":"≮⫘↔-10101110010000⩷∴≮⫘↔-110100001000000=≮⫘↔111100101000000","layer":1},{"info":"≮⫘↔10000101110010≧⫂∧≮⫘↔1111101011=≮⫘↔1000010010","layer":3},{"info":"≮⫘↔111101101001⋓≮⫘↔111110110001=≮⫘↔0","layer":3},{"info":"≮⫘↔1000010010≧⫂∧≮⫘↔0=≮⫘↔-111011001","layer":2},{"info":"≮⫘↔111011010000⫌⩹⨱=≮⫘↔10001100011001","layer":3},{"info":"≮⫘↔1011101111011≹⇙⪍≮⫘↔1000001001101=NaN","layer":3},{"info":"≮⫘↔10001100011001+NaN=NaN","layer":2},{"info":"≮⫘↔-111011001⪨≂NaN=NaN","layer":1},{"info":"≮⫘↔111100101000000⋝⋈⪟NaN=NaN","layer":0}]}
{"id":530,"expression_no_base_symbol":"⪲⇎($1355$⪐)⪢(⊥$3876$)≭((⫓⪴$7530$)↛⩡⫤)","expression":"⪲⇎(≮⫘↔10101001011⪐)⪢(⊥≮⫘↔111100100100)≭((⫓⪴≮⫘↔1110101101010)↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7601,"operation_count":7,"complexity_ratio":1085.857142857143,"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":1355,"base":2}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3876,"base":2}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":7530,"base":2}}}}},"used_operators":["XPYlsWDdGa","rxpJgHHUmx","dWAJyo7jo9","eH2TOUuTDT","Q3PJZHRvZv","FU0Cs4j7VP","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1355","layer":4},{"info":"compute unary expreesion, input=1355, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2710","layer":3},{"info":"number node, value=3876","layer":4},{"info":"compute unary expreesion, input=3876, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2710, 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=7530","layer":4},{"info":"compute unary expreesion, input=7530, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=56700900","layer":3},{"info":"compute unary expreesion, input=56700900, 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":2},{"info":"compute binary expreesion, left_input=nan, 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":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⪲⇎(≮⫘↔10101001011⪐)⪢(⊥≮⫘↔111100100100)≭((⫓⪴≮⫘↔1110101101010)↛⩡⫤)=NaN","reverse_text":"NaN=⪲⇎(≮⫘↔10101001011⪐)⪢(⊥≮⫘↔111100100100)≭((⫓⪴≮⫘↔1110101101010)↛⩡⫤)","cot":[{"info":"≮⫘↔10101001011⪐=≮⫘↔101010010110","layer":3},{"info":"⊥≮⫘↔111100100100=NaN","layer":3},{"info":"≮⫘↔101010010110⪢NaN=NaN","layer":2},{"info":"⫓⪴≮⫘↔1110101101010=≮⫘↔11011000010010111111100100","layer":3},{"info":"≮⫘↔11011000010010111111100100↛⩡⫤=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":531,"expression_no_base_symbol":"(($3769$≧⫂∧$3437$⊘)↛⩡⫤)⫥∨⫟(⨞⊢($5627$⨎$3127$↺$1639$⨟⋌⩍$5381$))","expression":"((≮⫘↔111010111001≧⫂∧≮⫘↔110101101101⊘)↛⩡⫤)⫥∨⫟(⨞⊢(≮⫘↔1010111111011⨎≮⫘↔110000110111↺≮⫘↔11001100111⨟⋌⩍≮⫘↔1010100000101))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":246,"operation_count":8,"complexity_ratio":30.75,"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":3769,"base":2},"right_expr":{"type":"numeric_atoms","value":3437,"base":2}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5627,"base":2},"right_expr":{"type":"numeric_atoms","value":3127,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1639,"base":2},"right_expr":{"type":"numeric_atoms","value":5381,"base":2}}}}},"used_operators":["KYD54nUTWz","FU0Cs4j7VP","gu96TGCTMs","Ph9nP6C5qx","xUOZtlo3hN","7j4O788W3g","rJVOvQCfKK","rGHVDoGpnC"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=3769","layer":4},{"info":"number node, value=3437","layer":4},{"info":"compute binary expreesion, left_input=3769, right_input=3437, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2964","layer":3},{"info":"compute unary expreesion, input=2964, 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":2},{"info":"compute unary expreesion, input=0, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=0","layer":1},{"info":"number node, value=5627","layer":4},{"info":"number node, value=3127","layer":4},{"info":"compute binary expreesion, left_input=5627, right_input=3127, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3127","layer":3},{"info":"number node, value=1639","layer":4},{"info":"number node, value=5381","layer":4},{"info":"compute binary expreesion, left_input=1639, right_input=5381, 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=3127, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111010111001≧⫂∧≮⫘↔110101101101⊘)↛⩡⫤)⫥∨⫟(⨞⊢(≮⫘↔1010111111011⨎≮⫘↔110000110111↺≮⫘↔11001100111⨟⋌⩍≮⫘↔1010100000101))=NaN","reverse_text":"NaN=((≮⫘↔111010111001≧⫂∧≮⫘↔110101101101⊘)↛⩡⫤)⫥∨⫟(⨞⊢(≮⫘↔1010111111011⨎≮⫘↔110000110111↺≮⫘↔11001100111⨟⋌⩍≮⫘↔1010100000101))","cot":[{"info":"≮⫘↔111010111001≧⫂∧≮⫘↔110101101101=≮⫘↔101110010100","layer":3},{"info":"≮⫘↔101110010100⊘=≮⫘↔0","layer":2},{"info":"≮⫘↔0↛⩡⫤=≮⫘↔0","layer":1},{"info":"≮⫘↔1010111111011⨎≮⫘↔110000110111=≮⫘↔110000110111","layer":3},{"info":"≮⫘↔11001100111⨟⋌⩍≮⫘↔1010100000101=NaN","layer":3},{"info":"≮⫘↔110000110111↺NaN=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"≮⫘↔0⫥∨⫟NaN=NaN","layer":0}]}
{"id":532,"expression_no_base_symbol":"((⪲⇎$1069$)⪢$1068$⪢$1510$≭($5083$⪢$3587$)≹⇙⪍($2861$∀⇚≩$1060$))∼((($2983$∲⫓$5271$)⊠≄⫣)+(+⊝⨔$1208$)⪛($1623$≫≃))","expression":"((⪲⇎≮⫘↔10000101101)⪢≮⫘↔10000101100⪢≮⫘↔10111100110≭(≮⫘↔1001111011011⪢≮⫘↔111000000011)≹⇙⪍(≮⫘↔101100101101∀⇚≩≮⫘↔10000100100))∼(((≮⫘↔101110100111∲⫓≮⫘↔1010010010111)⊠≄⫣)+(+⊝⨔≮⫘↔10010111000)⪛(≮⫘↔11001010111≫≃))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":25907,"operation_count":14,"complexity_ratio":1850.5,"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":1069,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1068,"base":2},"right_expr":{"type":"numeric_atoms","value":1510,"base":2}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5083,"base":2},"right_expr":{"type":"numeric_atoms","value":3587,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2861,"base":2},"right_expr":{"type":"numeric_atoms","value":1060,"base":2}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2983,"base":2},"right_expr":{"type":"numeric_atoms","value":5271,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1208,"base":2}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1623,"base":2}}}}},"used_operators":["DyGG3AbaNP","rxpJgHHUmx","dWAJyo7jo9","XPYlsWDdGa","AHs5Up7iyr","LRNGc0VcxI","W4YGzv6Whe","DIvbN7qnHd","i8ToyICDmI","uFcxV4UQCh","DhbWaqg5eL","X99M06cbEe"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1069","layer":4},{"info":"compute unary expreesion, input=1069, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2138","layer":3},{"info":"number node, value=1068","layer":4},{"info":"number node, value=1510","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=1510, 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=2138, 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=5083","layer":4},{"info":"number node, value=3587","layer":4},{"info":"compute binary expreesion, left_input=5083, right_input=3587, 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=2861","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=2861, right_input=1060, 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 = 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 = 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=2983","layer":4},{"info":"number node, value=5271","layer":4},{"info":"compute binary expreesion, left_input=2983, right_input=5271, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=1208","layer":4},{"info":"compute unary expreesion, input=1208, 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=1623","layer":4},{"info":"compute unary expreesion, input=1623, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4647","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=4647, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1522, op_id = W4YGzv6Whe binary_op_definition= 'None', output=1522","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⪲⇎≮⫘↔10000101101)⪢≮⫘↔10000101100⪢≮⫘↔10111100110≭(≮⫘↔1001111011011⪢≮⫘↔111000000011)≹⇙⪍(≮⫘↔101100101101∀⇚≩≮⫘↔10000100100))∼(((≮⫘↔101110100111∲⫓≮⫘↔1010010010111)⊠≄⫣)+(+⊝⨔≮⫘↔10010111000)⪛(≮⫘↔11001010111≫≃))=NaN","reverse_text":"NaN=((⪲⇎≮⫘↔10000101101)⪢≮⫘↔10000101100⪢≮⫘↔10111100110≭(≮⫘↔1001111011011⪢≮⫘↔111000000011)≹⇙⪍(≮⫘↔101100101101∀⇚≩≮⫘↔10000100100))∼(((≮⫘↔101110100111∲⫓≮⫘↔1010010010111)⊠≄⫣)+(+⊝⨔≮⫘↔10010111000)⪛(≮⫘↔11001010111≫≃))","cot":[{"info":"⪲⇎≮⫘↔10000101101=≮⫘↔100001011010","layer":3},{"info":"≮⫘↔10000101100⪢≮⫘↔10111100110=NaN","layer":3},{"info":"≮⫘↔100001011010⪢NaN=NaN","layer":2},{"info":"≮⫘↔1001111011011⪢≮⫘↔111000000011=NaN","layer":3},{"info":"≮⫘↔101100101101∀⇚≩≮⫘↔10000100100=NaN","layer":3},{"info":"NaN≹⇙⪍NaN=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"≮⫘↔101110100111∲⫓≮⫘↔1010010010111=≮⫘↔0","layer":3},{"info":"≮⫘↔0⊠≄⫣=≮⫘↔0","layer":2},{"info":"+⊝⨔≮⫘↔10010111000=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔11001010111≫≃=≮⫘↔1001000100111","layer":3},{"info":"≮⫘↔10111110010⪛≮⫘↔1001000100111=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔0+≮⫘↔10111110010=≮⫘↔10111110010","layer":1},{"info":"NaN∼≮⫘↔10111110010=NaN","layer":0}]}
{"id":533,"expression_no_base_symbol":"(($1016$⫸⊐$2452$)⨳⩥⨓(↔$2980$)%(⨈⫕$3965$+⇶⊼$1181$))∑⇟⊟(($7206$⪢$2478$⫸⊐$3081$⪛$2059$)⊦⊿)","expression":"((≮⫘↔1111111000⫸⊐≮⫘↔100110010100)⨳⩥⨓(↔≮⫘↔101110100100)%(⨈⫕≮⫘↔111101111101+⇶⊼≮⫘↔10010011101))∑⇟⊟((≮⫘↔1110000100110⪢≮⫘↔100110101110⫸⊐≮⫘↔110000001001⪛≮⫘↔100000001011)⊦⊿)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4813,"operation_count":11,"complexity_ratio":437.54545454545456,"tree":{"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":2},"right_expr":{"type":"numeric_atoms","value":2452,"base":2}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2980,"base":2}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3965,"base":2},"right_expr":{"type":"numeric_atoms","value":1181,"base":2}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7206,"base":2},"right_expr":{"type":"numeric_atoms","value":2478,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3081,"base":2},"right_expr":{"type":"numeric_atoms","value":2059,"base":2}}}}},"used_operators":["U7g4x0WXJJ","k8jYdgA6NY","nCS4ZIUYfx","mqXw5SEYmG","ruOEQAzv1W","megm06wKyl","TpPTUOHfaN","14qkJME0vr","dWAJyo7jo9","uFcxV4UQCh"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1016","layer":4},{"info":"number node, value=2452","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=2452, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9683","layer":3},{"info":"number node, value=2980","layer":4},{"info":"compute unary expreesion, input=2980, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2707","layer":3},{"info":"compute binary expreesion, left_input=9683, right_input=-2707, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-12390","layer":2},{"info":"number node, value=3965","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=3965, right_input=1181, 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 = 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=-12390, right_input=-21, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=7206","layer":4},{"info":"number node, value=2478","layer":4},{"info":"compute binary expreesion, left_input=7206, right_input=2478, 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=3081","layer":4},{"info":"number node, value=2059","layer":4},{"info":"compute binary expreesion, left_input=3081, right_input=2059, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1022","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1022, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"((≮⫘↔1111111000⫸⊐≮⫘↔100110010100)⨳⩥⨓(↔≮⫘↔101110100100)%(⨈⫕≮⫘↔111101111101+⇶⊼≮⫘↔10010011101))∑⇟⊟((≮⫘↔1110000100110⪢≮⫘↔100110101110⫸⊐≮⫘↔110000001001⪛≮⫘↔100000001011)⊦⊿)=NaN","reverse_text":"NaN=((≮⫘↔1111111000⫸⊐≮⫘↔100110010100)⨳⩥⨓(↔≮⫘↔101110100100)%(⨈⫕≮⫘↔111101111101+⇶⊼≮⫘↔10010011101))∑⇟⊟((≮⫘↔1110000100110⪢≮⫘↔100110101110⫸⊐≮⫘↔110000001001⪛≮⫘↔100000001011)⊦⊿)","cot":[{"info":"≮⫘↔1111111000⫸⊐≮⫘↔100110010100=≮⫘↔10010111010011","layer":3},{"info":"↔≮⫘↔101110100100=≮⫘↔-101010010011","layer":3},{"info":"≮⫘↔10010111010011⨳⩥⨓≮⫘↔-101010010011=≮⫘↔-11000001100110","layer":2},{"info":"≮⫘↔111101111101+⇶⊼≮⫘↔10010011101=NaN","layer":3},{"info":"⨈⫕NaN=≮⫘↔-10101","layer":2},{"info":"≮⫘↔-11000001100110%≮⫘↔-10101=≮⫘↔0","layer":1},{"info":"≮⫘↔1110000100110⪢≮⫘↔100110101110=NaN","layer":3},{"info":"≮⫘↔110000001001⪛≮⫘↔100000001011=≮⫘↔1111111110","layer":3},{"info":"NaN⫸⊐≮⫘↔1111111110=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"≮⫘↔0∑⇟⊟NaN=NaN","layer":0}]}
{"id":534,"expression_no_base_symbol":"(($1707$⩚⊴⇥$3081$⋷($1759$≣⋋))⨽(⋗⩬⋾(≤/$1365$)))⪘⫢(($5235$⨐⩸⫘$8236$)⩚⊴⇥($8245$⇼⇔∾$1878$)⪨≂($3586$↙$6667$)⋓($1081$↺$4675$))","expression":"((≮⫘↔11010101011⩚⊴⇥≮⫘↔110000001001⋷(≮⫘↔11011011111≣⋋))⨽(⋗⩬⋾(≤/≮⫘↔10101010101)))⪘⫢((≮⫘↔1010001110011⨐⩸⫘≮⫘↔10000000101100)⩚⊴⇥(≮⫘↔10000000110101⇼⇔∾≮⫘↔11101010110)⪨≂(≮⫘↔111000000010↙≮⫘↔1101000001011)⋓(≮⫘↔10000111001↺≮⫘↔1001001000011))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17055,"operation_count":14,"complexity_ratio":1218.2142857142858,"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":1707,"base":2},"right_expr":{"type":"numeric_atoms","value":3081,"base":2}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1759,"base":2}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1365,"base":2}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5235,"base":2},"right_expr":{"type":"numeric_atoms","value":8236,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":8245,"base":2},"right_expr":{"type":"numeric_atoms","value":1878,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3586,"base":2},"right_expr":{"type":"numeric_atoms","value":6667,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1081,"base":2},"right_expr":{"type":"numeric_atoms","value":4675,"base":2}}}}},"used_operators":["oacrs7FA3X","8HhzD0ZcuI","23Mk6UjR3U","NTOWxs364D","Tcnh7f0tEr","DpFCA1CohY","eLAdDNolq6","sdazOOVcIp","fu6greOZ01","tifHPKVTfV","T2fj7uvVaJ","yyfyN0ffXY","7j4O788W3g"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1707","layer":4},{"info":"number node, value=3081","layer":4},{"info":"compute binary expreesion, left_input=1707, right_input=3081, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4909","layer":3},{"info":"number node, value=1759","layer":4},{"info":"compute unary expreesion, input=1759, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4909, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9818","layer":2},{"info":"number node, value=1365","layer":4},{"info":"compute unary expreesion, input=1365, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-881","layer":3},{"info":"compute unary expreesion, input=-881, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=2643","layer":2},{"info":"compute binary expreesion, left_input=9818, right_input=2643, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-289185987","layer":1},{"info":"number node, value=5235","layer":4},{"info":"number node, value=8236","layer":4},{"info":"compute binary expreesion, left_input=5235, right_input=8236, 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=8245","layer":4},{"info":"number node, value=1878","layer":4},{"info":"compute binary expreesion, left_input=8245, right_input=1878, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6367","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6367, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=3586","layer":4},{"info":"number node, value=6667","layer":4},{"info":"compute binary expreesion, left_input=3586, right_input=6667, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-20001","layer":3},{"info":"number node, value=1081","layer":4},{"info":"number node, value=4675","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=4675, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4675","layer":3},{"info":"compute binary expreesion, left_input=-20001, right_input=4675, 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 = 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=-289185987, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11010101011⩚⊴⇥≮⫘↔110000001001⋷(≮⫘↔11011011111≣⋋))⨽(⋗⩬⋾(≤/≮⫘↔10101010101)))⪘⫢((≮⫘↔1010001110011⨐⩸⫘≮⫘↔10000000101100)⩚⊴⇥(≮⫘↔10000000110101⇼⇔∾≮⫘↔11101010110)⪨≂(≮⫘↔111000000010↙≮⫘↔1101000001011)⋓(≮⫘↔10000111001↺≮⫘↔1001001000011))=NaN","reverse_text":"NaN=((≮⫘↔11010101011⩚⊴⇥≮⫘↔110000001001⋷(≮⫘↔11011011111≣⋋))⨽(⋗⩬⋾(≤/≮⫘↔10101010101)))⪘⫢((≮⫘↔1010001110011⨐⩸⫘≮⫘↔10000000101100)⩚⊴⇥(≮⫘↔10000000110101⇼⇔∾≮⫘↔11101010110)⪨≂(≮⫘↔111000000010↙≮⫘↔1101000001011)⋓(≮⫘↔10000111001↺≮⫘↔1001001000011))","cot":[{"info":"≮⫘↔11010101011⩚⊴⇥≮⫘↔110000001001=≮⫘↔-1001100101101","layer":3},{"info":"≮⫘↔11011011111≣⋋=≮⫘↔0","layer":3},{"info":"≮⫘↔-1001100101101⋷≮⫘↔0=≮⫘↔10011001011010","layer":2},{"info":"≤/≮⫘↔10101010101=≮⫘↔-1101110001","layer":3},{"info":"⋗⩬⋾≮⫘↔-1101110001=≮⫘↔101001010011","layer":2},{"info":"≮⫘↔10011001011010⨽≮⫘↔101001010011=≮⫘↔-10001001111001010000011000011","layer":1},{"info":"≮⫘↔1010001110011⨐⩸⫘≮⫘↔10000000101100=NaN","layer":3},{"info":"≮⫘↔10000000110101⇼⇔∾≮⫘↔11101010110=≮⫘↔-1100011011111","layer":3},{"info":"NaN⩚⊴⇥≮⫘↔-1100011011111=NaN","layer":2},{"info":"≮⫘↔111000000010↙≮⫘↔1101000001011=≮⫘↔-100111000100001","layer":3},{"info":"≮⫘↔10000111001↺≮⫘↔1001001000011=≮⫘↔1001001000011","layer":3},{"info":"≮⫘↔-100111000100001⋓≮⫘↔1001001000011=≮⫘↔0","layer":2},{"info":"NaN⪨≂≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔-10001001111001010000011000011⪘⫢NaN=NaN","layer":0}]}
{"id":535,"expression_no_base_symbol":"((⫛⫱⨽($2671$⫸⊐$3655$))⨐⩸⫘$1183$∼$2241$⨽($4781$%$4825$))⪛(($8219$⨳⩥⨓$3271$)⪘⫢($2527$↙$5967$)⋷(∂$3665$)∼($2699$⊠≄⫣))","expression":"((⫛⫱⨽(≮⫘↔101001101111⫸⊐≮⫘↔111001000111))⨐⩸⫘≮⫘↔10010011111∼≮⫘↔100011000001⨽(≮⫘↔1001010101101%≮⫘↔1001011011001))⪛((≮⫘↔10000000011011⨳⩥⨓≮⫘↔110011000111)⪘⫢(≮⫘↔100111011111↙≮⫘↔1011101001111)⋷(∂≮⫘↔111001010001)∼(≮⫘↔101010001011⊠≄⫣))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7497,"operation_count":14,"complexity_ratio":535.5,"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":2671,"base":2},"right_expr":{"type":"numeric_atoms","value":3655,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1183,"base":2},"right_expr":{"type":"numeric_atoms","value":2241,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4781,"base":2},"right_expr":{"type":"numeric_atoms","value":4825,"base":2}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":8219,"base":2},"right_expr":{"type":"numeric_atoms","value":3271,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2527,"base":2},"right_expr":{"type":"numeric_atoms","value":5967,"base":2}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3665,"base":2}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2699,"base":2}}}}},"used_operators":["uFcxV4UQCh","fu6greOZ01","DlLNRPXxWL","mqXw5SEYmG","8HhzD0ZcuI","DyGG3AbaNP","k8jYdgA6NY","23Mk6UjR3U","oacrs7FA3X","nCS4ZIUYfx","yyfyN0ffXY","Uaa54Peajs","DIvbN7qnHd"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3ViojmjbAp","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2671","layer":4},{"info":"number node, value=3655","layer":4},{"info":"compute binary expreesion, left_input=2671, right_input=3655, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14495","layer":3},{"info":"compute unary expreesion, input=14495, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1183","layer":4},{"info":"number node, value=2241","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=2241, 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=4781","layer":4},{"info":"number node, value=4825","layer":4},{"info":"compute binary expreesion, left_input=4781, right_input=4825, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4781","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4781, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', 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":"number node, value=8219","layer":4},{"info":"number node, value=3271","layer":4},{"info":"compute binary expreesion, left_input=8219, right_input=3271, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4948","layer":3},{"info":"number node, value=2527","layer":4},{"info":"number node, value=5967","layer":4},{"info":"compute binary expreesion, left_input=2527, right_input=5967, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-17901","layer":3},{"info":"compute binary expreesion, left_input=-4948, right_input=-17901, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"number node, value=3665","layer":4},{"info":"compute unary expreesion, input=3665, 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=2699","layer":4},{"info":"compute unary expreesion, input=2699, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=20, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⫛⫱⨽(≮⫘↔101001101111⫸⊐≮⫘↔111001000111))⨐⩸⫘≮⫘↔10010011111∼≮⫘↔100011000001⨽(≮⫘↔1001010101101%≮⫘↔1001011011001))⪛((≮⫘↔10000000011011⨳⩥⨓≮⫘↔110011000111)⪘⫢(≮⫘↔100111011111↙≮⫘↔1011101001111)⋷(∂≮⫘↔111001010001)∼(≮⫘↔101010001011⊠≄⫣))=NaN","reverse_text":"NaN=((⫛⫱⨽(≮⫘↔101001101111⫸⊐≮⫘↔111001000111))⨐⩸⫘≮⫘↔10010011111∼≮⫘↔100011000001⨽(≮⫘↔1001010101101%≮⫘↔1001011011001))⪛((≮⫘↔10000000011011⨳⩥⨓≮⫘↔110011000111)⪘⫢(≮⫘↔100111011111↙≮⫘↔1011101001111)⋷(∂≮⫘↔111001010001)∼(≮⫘↔101010001011⊠≄⫣))","cot":[{"info":"≮⫘↔101001101111⫸⊐≮⫘↔111001000111=≮⫘↔11100010011111","layer":3},{"info":"⫛⫱⨽≮⫘↔11100010011111=≮⫘↔0","layer":2},{"info":"≮⫘↔10010011111∼≮⫘↔100011000001=NaN","layer":3},{"info":"≮⫘↔1001010101101%≮⫘↔1001011011001=≮⫘↔1001010101101","layer":3},{"info":"NaN⨽≮⫘↔1001010101101=NaN","layer":2},{"info":"≮⫘↔0⨐⩸⫘NaN=NaN","layer":1},{"info":"≮⫘↔10000000011011⨳⩥⨓≮⫘↔110011000111=≮⫘↔-1001101010100","layer":3},{"info":"≮⫘↔100111011111↙≮⫘↔1011101001111=≮⫘↔-100010111101101","layer":3},{"info":"≮⫘↔-1001101010100⪘⫢≮⫘↔-100010111101101=≮⫘↔-1","layer":2},{"info":"∂≮⫘↔111001010001=NaN","layer":3},{"info":"≮⫘↔101010001011⊠≄⫣=≮⫘↔0","layer":3},{"info":"NaN∼≮⫘↔0=≮⫘↔10100","layer":2},{"info":"≮⫘↔-1⋷≮⫘↔10100=≮⫘↔10","layer":1},{"info":"NaN⪛≮⫘↔10=NaN","layer":0}]}
{"id":536,"expression_no_base_symbol":"((⨵≀≌(⋗⩬⋾$1465$))⪄($2827$⩚⊴⇥$4596$)⨟⋌⩍($1642$⨓$4412$))⋥≓≎($4173$⋳⪒$1023$⨸⪁(↯⪼$6587$))⨐⩸⫘(($2025$↙$3499$)⋫)","expression":"((⨵≀≌(⋗⩬⋾≮⫘↔10110111001))⪄(≮⫘↔101100001011⩚⊴⇥≮⫘↔1000111110100)⨟⋌⩍(≮⫘↔11001101010⨓≮⫘↔1000100111100))⋥≓≎(≮⫘↔1000001001101⋳⪒≮⫘↔1111111111⨸⪁(↯⪼≮⫘↔1100110111011))⨐⩸⫘((≮⫘↔11111101001↙≮⫘↔110110101011)⋫)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":22962,"operation_count":13,"complexity_ratio":1766.3076923076924,"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":1465,"base":2}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2827,"base":2},"right_expr":{"type":"numeric_atoms","value":4596,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1642,"base":2},"right_expr":{"type":"numeric_atoms","value":4412,"base":2}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4173,"base":2},"right_expr":{"type":"numeric_atoms","value":1023,"base":2}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":6587,"base":2}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2025,"base":2},"right_expr":{"type":"numeric_atoms","value":3499,"base":2}}}}},"used_operators":["Qy55tPpLXF","SUmda5xLS4","srAu1WTS94","DpFCA1CohY","rGHVDoGpnC","NTOWxs364D","3ViojmjbAp","fu6greOZ01","g55IO6H4Gj","12rbrZMWeM","8jW3W4yZS5","JL8yIekQnl","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tmPS8pqC7x","tmPS8pqC7x","DpFCA1CohY"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1465","layer":4},{"info":"compute unary expreesion, input=1465, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4395","layer":3},{"info":"compute unary expreesion, input=-4395, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=19316025","layer":2},{"info":"number node, value=2827","layer":4},{"info":"number node, value=4596","layer":4},{"info":"compute binary expreesion, left_input=2827, right_input=4596, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7544","layer":3},{"info":"number node, value=1642","layer":4},{"info":"number node, value=4412","layer":4},{"info":"compute binary expreesion, left_input=1642, right_input=4412, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4415","layer":3},{"info":"compute binary expreesion, left_input=-7544, right_input=-4415, 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=19316025, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"number node, value=4173","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=4173, right_input=1023, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7036","layer":3},{"info":"number node, value=6587","layer":4},{"info":"compute unary expreesion, input=6587, 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=7036, right_input=-21, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14030","layer":2},{"info":"number node, value=2025","layer":4},{"info":"number node, value=3499","layer":4},{"info":"compute binary expreesion, left_input=2025, right_input=3499, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10497","layer":3},{"info":"compute unary expreesion, input=-10497, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=10497","layer":2},{"info":"compute binary expreesion, left_input=14030, right_input=10497, 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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"((⨵≀≌(⋗⩬⋾≮⫘↔10110111001))⪄(≮⫘↔101100001011⩚⊴⇥≮⫘↔1000111110100)⨟⋌⩍(≮⫘↔11001101010⨓≮⫘↔1000100111100))⋥≓≎(≮⫘↔1000001001101⋳⪒≮⫘↔1111111111⨸⪁(↯⪼≮⫘↔1100110111011))⨐⩸⫘((≮⫘↔11111101001↙≮⫘↔110110101011)⋫)=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=((⨵≀≌(⋗⩬⋾≮⫘↔10110111001))⪄(≮⫘↔101100001011⩚⊴⇥≮⫘↔1000111110100)⨟⋌⩍(≮⫘↔11001101010⨓≮⫘↔1000100111100))⋥≓≎(≮⫘↔1000001001101⋳⪒≮⫘↔1111111111⨸⪁(↯⪼≮⫘↔1100110111011))⨐⩸⫘((≮⫘↔11111101001↙≮⫘↔110110101011)⋫)","cot":[{"info":"⋗⩬⋾≮⫘↔10110111001=≮⫘↔-1000100101011","layer":3},{"info":"⨵≀≌≮⫘↔-1000100101011=≮⫘↔1001001101011110100111001","layer":2},{"info":"≮⫘↔101100001011⩚⊴⇥≮⫘↔1000111110100=≮⫘↔-1110101111000","layer":3},{"info":"≮⫘↔11001101010⨓≮⫘↔1000100111100=≮⫘↔-1000100111111","layer":3},{"info":"≮⫘↔-1110101111000⨟⋌⩍≮⫘↔-1000100111111=NaN","layer":2},{"info":"≮⫘↔1001001101011110100111001⪄NaN=NaN","layer":1},{"info":"≮⫘↔1000001001101⋳⪒≮⫘↔1111111111=≮⫘↔1101101111100","layer":3},{"info":"↯⪼≮⫘↔1100110111011=≮⫘↔-10101","layer":3},{"info":"≮⫘↔1101101111100⨸⪁≮⫘↔-10101=≮⫘↔11011011001110","layer":2},{"info":"≮⫘↔11111101001↙≮⫘↔110110101011=≮⫘↔-10100100000001","layer":3},{"info":"≮⫘↔-10100100000001⋫=≮⫘↔10100100000001","layer":2},{"info":"≮⫘↔11011011001110⨐⩸⫘≮⫘↔10100100000001=NaN","layer":1},{"info":"NaN⋥≓≎NaN=≮⫘↔1000011","layer":0}]}
{"id":537,"expression_no_base_symbol":"-((↽≂$2206$)≎⊠⪸($4886$/$1177$)↛⩡⫤)","expression":"-((↽≂≮⫘↔100010011110)≎⊠⪸(≮⫘↔1001100010110/≮⫘↔10010011001)↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":343,"operation_count":5,"complexity_ratio":68.6,"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":2206,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4886,"base":2},"right_expr":{"type":"numeric_atoms","value":1177,"base":2}}}}},"used_operators":["t8gj7n24qd","FU0Cs4j7VP","bJkvcejdHO","u6S6b8DprG","XhwjNDsVaA"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2206","layer":4},{"info":"compute unary expreesion, input=2206, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4412","layer":3},{"info":"number node, value=4886","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=4886, right_input=1177, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":3},{"info":"compute binary expreesion, left_input=-4412, right_input=4, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1142708","layer":2},{"info":"compute unary expreesion, input=1142708, 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 unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"-((↽≂≮⫘↔100010011110)≎⊠⪸(≮⫘↔1001100010110/≮⫘↔10010011001)↛⩡⫤)=NaN","reverse_text":"NaN=-((↽≂≮⫘↔100010011110)≎⊠⪸(≮⫘↔1001100010110/≮⫘↔10010011001)↛⩡⫤)","cot":[{"info":"↽≂≮⫘↔100010011110=≮⫘↔-1000100111100","layer":3},{"info":"≮⫘↔1001100010110/≮⫘↔10010011001=≮⫘↔100","layer":3},{"info":"≮⫘↔-1000100111100≎⊠⪸≮⫘↔100=≮⫘↔100010110111110110100","layer":2},{"info":"≮⫘↔100010110111110110100↛⩡⫤=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":538,"expression_no_base_symbol":"⋗⩬⋾(+⊝⨔(≤/$2027$))∀⇚≩(⨑⩽⪐$3410$∼$2088$)","expression":"⋗⩬⋾(+⊝⨔(≤/≮⫘↔11111101011))∀⇚≩(⨑⩽⪐≮⫘↔110101010010∼≮⫘↔100000101000)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":10753,"operation_count":6,"complexity_ratio":1792.1666666666667,"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":2027,"base":2}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3410,"base":2},"right_expr":{"type":"numeric_atoms","value":2088,"base":2}}}}},"used_operators":["DpFCA1CohY","LRNGc0VcxI","DhbWaqg5eL","eLAdDNolq6","AF7qkfDlqP","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2027","layer":4},{"info":"compute unary expreesion, input=2027, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1543","layer":3},{"info":"compute unary expreesion, input=-1543, 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=3410","layer":4},{"info":"number node, value=2088","layer":4},{"info":"compute binary expreesion, left_input=3410, right_input=2088, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute 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":0}],"base":2,"result_base":2,"text":"⋗⩬⋾(+⊝⨔(≤/≮⫘↔11111101011))∀⇚≩(⨑⩽⪐≮⫘↔110101010010∼≮⫘↔100000101000)=NaN","reverse_text":"NaN=⋗⩬⋾(+⊝⨔(≤/≮⫘↔11111101011))∀⇚≩(⨑⩽⪐≮⫘↔110101010010∼≮⫘↔100000101000)","cot":[{"info":"≤/≮⫘↔11111101011=≮⫘↔-11000000111","layer":3},{"info":"+⊝⨔≮⫘↔-11000000111=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔110101010010∼≮⫘↔100000101000=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"≮⫘↔10111110010∀⇚≩NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":539,"expression_no_base_symbol":"($1009$⪛$3484$↪⪝)⪢($5977$≎⊠⪸$1362$+$4042$⨰$1649$)∲⫓(($2503$+$3334$)⇼⇔∾$2803$+⇶⊼$2413$⋷((⊄⩳↩$3140$)⫡⨏$1668$≧⫂∧$1370$))","expression":"(≮⫘↔1111110001⪛≮⫘↔110110011100↪⪝)⪢(≮⫘↔1011101011001≎⊠⪸≮⫘↔10101010010+≮⫘↔111111001010⨰≮⫘↔11001110001)∲⫓((≮⫘↔100111000111+≮⫘↔110100000110)⇼⇔∾≮⫘↔101011110011+⇶⊼≮⫘↔100101101101⋷((⊄⩳↩≮⫘↔110001000100)⫡⨏≮⫘↔11010000100≧⫂∧≮⫘↔10101011010))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1001,"operation_count":14,"complexity_ratio":71.5,"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":1009,"base":2},"right_expr":{"type":"numeric_atoms","value":3484,"base":2}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5977,"base":2},"right_expr":{"type":"numeric_atoms","value":1362,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4042,"base":2},"right_expr":{"type":"numeric_atoms","value":1649,"base":2}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2503,"base":2},"right_expr":{"type":"numeric_atoms","value":3334,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2803,"base":2},"right_expr":{"type":"numeric_atoms","value":2413,"base":2}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3140,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1668,"base":2},"right_expr":{"type":"numeric_atoms","value":1370,"base":2}}}}},"used_operators":["i8ToyICDmI","dWAJyo7jo9","l07mrZUIn9","uFcxV4UQCh","W4YGzv6Whe","bJkvcejdHO","eewbuw0ToL","23Mk6UjR3U","tifHPKVTfV","TpPTUOHfaN","QMFrweE19q","8w2t5hMYqp","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","9HNa5Wba9A","2DDjHMKMc0","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1009","layer":4},{"info":"number node, value=3484","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=3484, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1009","layer":3},{"info":"compute unary expreesion, input=1009, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=61732638","layer":2},{"info":"number node, value=5977","layer":4},{"info":"number node, value=1362","layer":4},{"info":"compute binary expreesion, left_input=5977, right_input=1362, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1547570","layer":3},{"info":"number node, value=4042","layer":4},{"info":"number node, value=1649","layer":4},{"info":"compute binary expreesion, left_input=4042, right_input=1649, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2403","layer":3},{"info":"compute binary expreesion, left_input=1547570, right_input=2403, op_id = W4YGzv6Whe binary_op_definition= 'None', output=1549973","layer":2},{"info":"compute binary expreesion, left_input=61732638, right_input=1549973, 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=2503","layer":4},{"info":"number node, value=3334","layer":4},{"info":"compute binary expreesion, left_input=2503, right_input=3334, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5837","layer":3},{"info":"number node, value=2803","layer":4},{"info":"number node, value=2413","layer":4},{"info":"compute binary expreesion, left_input=2803, right_input=2413, 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=5837, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=3140","layer":4},{"info":"compute unary expreesion, input=3140, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9420","layer":3},{"info":"number node, value=1668","layer":4},{"info":"number node, value=1370","layer":4},{"info":"compute binary expreesion, left_input=1668, right_input=1370, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=897","layer":3},{"info":"compute binary expreesion, left_input=-9420, right_input=897, 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=-44523","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-44523, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"(≮⫘↔1111110001⪛≮⫘↔110110011100↪⪝)⪢(≮⫘↔1011101011001≎⊠⪸≮⫘↔10101010010+≮⫘↔111111001010⨰≮⫘↔11001110001)∲⫓((≮⫘↔100111000111+≮⫘↔110100000110)⇼⇔∾≮⫘↔101011110011+⇶⊼≮⫘↔100101101101⋷((⊄⩳↩≮⫘↔110001000100)⫡⨏≮⫘↔11010000100≧⫂∧≮⫘↔10101011010))=NaN","reverse_text":"NaN=(≮⫘↔1111110001⪛≮⫘↔110110011100↪⪝)⪢(≮⫘↔1011101011001≎⊠⪸≮⫘↔10101010010+≮⫘↔111111001010⨰≮⫘↔11001110001)∲⫓((≮⫘↔100111000111+≮⫘↔110100000110)⇼⇔∾≮⫘↔101011110011+⇶⊼≮⫘↔100101101101⋷((⊄⩳↩≮⫘↔110001000100)⫡⨏≮⫘↔11010000100≧⫂∧≮⫘↔10101011010))","cot":[{"info":"≮⫘↔1111110001⪛≮⫘↔110110011100=≮⫘↔1111110001","layer":3},{"info":"≮⫘↔1111110001↪⪝=≮⫘↔11101011011111011100011110","layer":2},{"info":"≮⫘↔1011101011001≎⊠⪸≮⫘↔10101010010=≮⫘↔101111001110100110010","layer":3},{"info":"≮⫘↔111111001010⨰≮⫘↔11001110001=≮⫘↔100101100011","layer":3},{"info":"≮⫘↔101111001110100110010+≮⫘↔100101100011=≮⫘↔101111010011010010101","layer":2},{"info":"≮⫘↔11101011011111011100011110⪢≮⫘↔101111010011010010101=NaN","layer":1},{"info":"≮⫘↔100111000111+≮⫘↔110100000110=≮⫘↔1011011001101","layer":3},{"info":"≮⫘↔101011110011+⇶⊼≮⫘↔100101101101=NaN","layer":3},{"info":"≮⫘↔1011011001101⇼⇔∾NaN=NaN","layer":2},{"info":"⊄⩳↩≮⫘↔110001000100=≮⫘↔-10010011001100","layer":3},{"info":"≮⫘↔11010000100≧⫂∧≮⫘↔10101011010=≮⫘↔1110000001","layer":3},{"info":"≮⫘↔-10010011001100⫡⨏≮⫘↔1110000001=≮⫘↔-1010110111101011","layer":2},{"info":"NaN⋷≮⫘↔-1010110111101011=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":540,"expression_no_base_symbol":"((($1107$⋓$1963$)∸)≦≮≮)⪨≂(($1012$⨸⪁$6643$)∀⇚≩(⨈⫕$1327$)/($3185$-$1991$)⋳⪒($3204$*$3569$))","expression":"(((≮⫘↔10001010011⋓≮⫘↔11110101011)∸)≦≮≮)⪨≂((≮⫘↔1111110100⨸⪁≮⫘↔1100111110011)∀⇚≩(⨈⫕≮⫘↔10100101111)/(≮⫘↔110001110001-≮⫘↔11111000111)⋳⪒(≮⫘↔110010000100*≮⫘↔110111110001))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":110970,"operation_count":11,"complexity_ratio":10088.181818181818,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1107,"base":2},"right_expr":{"type":"numeric_atoms","value":1963,"base":2}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1012,"base":2},"right_expr":{"type":"numeric_atoms","value":6643,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1327,"base":2}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3185,"base":2},"right_expr":{"type":"numeric_atoms","value":1991,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3204,"base":2},"right_expr":{"type":"numeric_atoms","value":3569,"base":2}}}}},"used_operators":["sdazOOVcIp","D4vGDi5EA2","o20kRiQErp","T2fj7uvVaJ","XhwjNDsVaA","LRNGc0VcxI","g55IO6H4Gj","megm06wKyl","12rbrZMWeM","rysDP5nf3Z","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","X99M06cbEe","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1107","layer":4},{"info":"number node, value=1963","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=1963, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-531","layer":1},{"info":"number node, value=1012","layer":4},{"info":"number node, value=6643","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=6643, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15310","layer":3},{"info":"number node, value=1327","layer":4},{"info":"compute unary expreesion, input=1327, 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=15310, right_input=-21, 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=3185","layer":4},{"info":"number node, value=1991","layer":4},{"info":"compute binary expreesion, left_input=3185, right_input=1991, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1194","layer":3},{"info":"number node, value=3204","layer":4},{"info":"number node, value=3569","layer":4},{"info":"compute binary expreesion, left_input=3204, right_input=3569, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11435076","layer":3},{"info":"compute binary expreesion, left_input=1194, right_input=11435076, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-11432975","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-11432975, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-531, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10001010011⋓≮⫘↔11110101011)∸)≦≮≮)⪨≂((≮⫘↔1111110100⨸⪁≮⫘↔1100111110011)∀⇚≩(⨈⫕≮⫘↔10100101111)/(≮⫘↔110001110001-≮⫘↔11111000111)⋳⪒(≮⫘↔110010000100*≮⫘↔110111110001))=NaN","reverse_text":"NaN=(((≮⫘↔10001010011⋓≮⫘↔11110101011)∸)≦≮≮)⪨≂((≮⫘↔1111110100⨸⪁≮⫘↔1100111110011)∀⇚≩(⨈⫕≮⫘↔10100101111)/(≮⫘↔110001110001-≮⫘↔11111000111)⋳⪒(≮⫘↔110010000100*≮⫘↔110111110001))","cot":[{"info":"≮⫘↔10001010011⋓≮⫘↔11110101011=≮⫘↔0","layer":3},{"info":"≮⫘↔0∸=≮⫘↔10110001","layer":2},{"info":"≮⫘↔10110001≦≮≮=≮⫘↔-1000010011","layer":1},{"info":"≮⫘↔1111110100⨸⪁≮⫘↔1100111110011=≮⫘↔11101111001110","layer":3},{"info":"⨈⫕≮⫘↔10100101111=≮⫘↔-10101","layer":3},{"info":"≮⫘↔11101111001110∀⇚≩≮⫘↔-10101=NaN","layer":2},{"info":"≮⫘↔110001110001-≮⫘↔11111000111=≮⫘↔10010101010","layer":3},{"info":"≮⫘↔110010000100*≮⫘↔110111110001=≮⫘↔101011100111110001000100","layer":3},{"info":"≮⫘↔10010101010⋳⪒≮⫘↔101011100111110001000100=≮⫘↔-101011100111010000001111","layer":2},{"info":"NaN/≮⫘↔-101011100111010000001111=NaN","layer":1},{"info":"≮⫘↔-1000010011⪨≂NaN=NaN","layer":0}]}
{"id":541,"expression_no_base_symbol":"(↯⪼($9349$⪛$4061$))⪮%⊝($5533$⨳⩥⨓$1826$≋⫹)%(($2748$⫡⨏$1700$)≧⫂∧($1261$≭$1645$))≹⇙⪍((⇁⨣⪵$1419$)⩚⊴⇥($2412$⩚⊴⇥$1171$))","expression":"(↯⪼(≮⫘↔10010010000101⪛≮⫘↔111111011101))⪮%⊝(≮⫘↔1010110011101⨳⩥⨓≮⫘↔11100100010≋⫹)%((≮⫘↔101010111100⫡⨏≮⫘↔11010100100)≧⫂∧(≮⫘↔10011101101≭≮⫘↔11001101101))≹⇙⪍((⇁⨣⪵≮⫘↔10110001011)⩚⊴⇥(≮⫘↔100101101100⩚⊴⇥≮⫘↔10010010011))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":69,"operation_count":13,"complexity_ratio":5.3076923076923075,"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":9349,"base":2},"right_expr":{"type":"numeric_atoms","value":4061,"base":2}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5533,"base":2},"right_expr":{"type":"numeric_atoms","value":1826,"base":2}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2748,"base":2},"right_expr":{"type":"numeric_atoms","value":1700,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1261,"base":2},"right_expr":{"type":"numeric_atoms","value":1645,"base":2}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1419,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2412,"base":2},"right_expr":{"type":"numeric_atoms","value":1171,"base":2}}}}},"used_operators":["k8jYdgA6NY","IWmyXbctLI","8jW3W4yZS5","uFcxV4UQCh","N41Kp7NANJ","nCS4ZIUYfx","AHs5Up7iyr","Ph9nP6C5qx","QMFrweE19q","rxpJgHHUmx","NTOWxs364D","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=9349","layer":4},{"info":"number node, value=4061","layer":4},{"info":"compute binary expreesion, left_input=9349, right_input=4061, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1227","layer":3},{"info":"compute unary expreesion, input=1227, 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=5533","layer":4},{"info":"number node, value=1826","layer":4},{"info":"compute binary expreesion, left_input=5533, right_input=1826, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3707","layer":3},{"info":"compute unary expreesion, input=-3707, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=7414","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=7414, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=274","layer":1},{"info":"number node, value=2748","layer":4},{"info":"number node, value=1700","layer":4},{"info":"compute binary expreesion, left_input=2748, right_input=1700, 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=17923","layer":3},{"info":"number node, value=1261","layer":4},{"info":"number node, value=1645","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=1645, 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=17923, 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=1419","layer":4},{"info":"compute unary expreesion, input=1419, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2412","layer":4},{"info":"number node, value=1171","layer":4},{"info":"compute binary expreesion, left_input=2412, right_input=1171, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3704","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3704, 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 = 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=274, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↯⪼(≮⫘↔10010010000101⪛≮⫘↔111111011101))⪮%⊝(≮⫘↔1010110011101⨳⩥⨓≮⫘↔11100100010≋⫹)%((≮⫘↔101010111100⫡⨏≮⫘↔11010100100)≧⫂∧(≮⫘↔10011101101≭≮⫘↔11001101101))≹⇙⪍((⇁⨣⪵≮⫘↔10110001011)⩚⊴⇥(≮⫘↔100101101100⩚⊴⇥≮⫘↔10010010011))=NaN","reverse_text":"NaN=(↯⪼(≮⫘↔10010010000101⪛≮⫘↔111111011101))⪮%⊝(≮⫘↔1010110011101⨳⩥⨓≮⫘↔11100100010≋⫹)%((≮⫘↔101010111100⫡⨏≮⫘↔11010100100)≧⫂∧(≮⫘↔10011101101≭≮⫘↔11001101101))≹⇙⪍((⇁⨣⪵≮⫘↔10110001011)⩚⊴⇥(≮⫘↔100101101100⩚⊴⇥≮⫘↔10010010011))","cot":[{"info":"≮⫘↔10010010000101⪛≮⫘↔111111011101=≮⫘↔10011001011","layer":3},{"info":"↯⪼≮⫘↔10011001011=≮⫘↔-10101","layer":2},{"info":"≮⫘↔1010110011101⨳⩥⨓≮⫘↔11100100010=≮⫘↔-111001111011","layer":3},{"info":"≮⫘↔-111001111011≋⫹=≮⫘↔1110011110110","layer":2},{"info":"≮⫘↔-10101⪮%⊝≮⫘↔1110011110110=≮⫘↔100010010","layer":1},{"info":"≮⫘↔101010111100⫡⨏≮⫘↔11010100100=≮⫘↔100011000000011","layer":3},{"info":"≮⫘↔10011101101≭≮⫘↔11001101101=NaN","layer":3},{"info":"≮⫘↔100011000000011≧⫂∧NaN=NaN","layer":2},{"info":"⇁⨣⪵≮⫘↔10110001011=NaN","layer":3},{"info":"≮⫘↔100101101100⩚⊴⇥≮⫘↔10010010011=≮⫘↔-111001111000","layer":3},{"info":"NaN⩚⊴⇥≮⫘↔-111001111000=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"≮⫘↔100010010%NaN=NaN","layer":0}]}
{"id":542,"expression_no_base_symbol":"+⊝⨔((⨞⊢$7738$)⨪↰⇹$4177$∀⇚≩$8089$↙(($1426$⫌⩹⨱)↙$4927$⋓$4395$))","expression":"+⊝⨔((⨞⊢≮⫘↔1111000111010)⨪↰⇹≮⫘↔1000001010001∀⇚≩≮⫘↔1111110011001↙((≮⫘↔10110010010⫌⩹⨱)↙≮⫘↔1001100111111⋓≮⫘↔1000100101011))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":37198,"operation_count":8,"complexity_ratio":4649.75,"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":7738,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4177,"base":2},"right_expr":{"type":"numeric_atoms","value":8089,"base":2}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1426,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4927,"base":2},"right_expr":{"type":"numeric_atoms","value":4395,"base":2}}}}},"used_operators":["DhbWaqg5eL","yyfyN0ffXY","tmPS8pqC7x","xUOZtlo3hN","LRNGc0VcxI","EBcxylXtPf","T2fj7uvVaJ"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"≮⫘↔10111110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7738","layer":4},{"info":"compute unary expreesion, input=7738, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-7912","layer":3},{"info":"number node, value=4177","layer":4},{"info":"number node, value=8089","layer":4},{"info":"compute binary expreesion, left_input=4177, right_input=8089, 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=-7912, 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=-7912","layer":2},{"info":"number node, value=1426","layer":4},{"info":"compute unary expreesion, input=1426, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4253","layer":3},{"info":"number node, value=4927","layer":4},{"info":"number node, value=4395","layer":4},{"info":"compute binary expreesion, left_input=4927, right_input=4395, 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=4253, right_input=0, 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=-7912, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7912","layer":1},{"info":"compute unary expreesion, input=-7912, 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":2,"result_base":2,"text":"+⊝⨔((⨞⊢≮⫘↔1111000111010)⨪↰⇹≮⫘↔1000001010001∀⇚≩≮⫘↔1111110011001↙((≮⫘↔10110010010⫌⩹⨱)↙≮⫘↔1001100111111⋓≮⫘↔1000100101011))=≮⫘↔10111110010","reverse_text":"≮⫘↔10111110010=+⊝⨔((⨞⊢≮⫘↔1111000111010)⨪↰⇹≮⫘↔1000001010001∀⇚≩≮⫘↔1111110011001↙((≮⫘↔10110010010⫌⩹⨱)↙≮⫘↔1001100111111⋓≮⫘↔1000100101011))","cot":[{"info":"⨞⊢≮⫘↔1111000111010=≮⫘↔-1111011101000","layer":3},{"info":"≮⫘↔1000001010001∀⇚≩≮⫘↔1111110011001=NaN","layer":3},{"info":"≮⫘↔-1111011101000⨪↰⇹NaN=≮⫘↔-1111011101000","layer":2},{"info":"≮⫘↔10110010010⫌⩹⨱=≮⫘↔1000010011101","layer":3},{"info":"≮⫘↔1001100111111⋓≮⫘↔1000100101011=≮⫘↔0","layer":3},{"info":"≮⫘↔1000010011101↙≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔-1111011101000↙≮⫘↔0=≮⫘↔-1111011101000","layer":1},{"info":"+⊝⨔≮⫘↔-1111011101000=≮⫘↔10111110010","layer":0}]}
{"id":543,"expression_no_base_symbol":"≤/(⫛⫱⨽(⨰⫟⨤($6610$≎⊠⪸$1329$)))","expression":"≤/(⫛⫱⨽(⨰⫟⨤(≮⫘↔1100111010010≎⊠⪸≮⫘↔10100110001)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3423379,"operation_count":4,"complexity_ratio":855844.75,"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":6610,"base":2},"right_expr":{"type":"numeric_atoms","value":1329,"base":2}}}}},"used_operators":["eLAdDNolq6","DlLNRPXxWL","Tw270M8GLb","bJkvcejdHO"],"dependent_operators":["rysDP5nf3Z","rGHVDoGpnC","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6610","layer":4},{"info":"number node, value=1329","layer":4},{"info":"compute binary expreesion, left_input=6610, right_input=1329, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1711517","layer":3},{"info":"compute unary expreesion, input=1711517, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≤/(⫛⫱⨽(⨰⫟⨤(≮⫘↔1100111010010≎⊠⪸≮⫘↔10100110001)))=NaN","reverse_text":"NaN=≤/(⫛⫱⨽(⨰⫟⨤(≮⫘↔1100111010010≎⊠⪸≮⫘↔10100110001)))","cot":[{"info":"≮⫘↔1100111010010≎⊠⪸≮⫘↔10100110001=≮⫘↔110100001110110011101","layer":3},{"info":"⨰⫟⨤≮⫘↔110100001110110011101=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":544,"expression_no_base_symbol":"(⪝⪂⫅($1039$/$1154$)⪢($3150$∀⇚≩$1203$))⪒(↯⪼(($3884$⪄$6287$)⊠≄⫣))","expression":"(⪝⪂⫅(≮⫘↔10000001111/≮⫘↔10010000010)⪢(≮⫘↔110001001110∀⇚≩≮⫘↔10010110011))⪒(↯⪼((≮⫘↔111100101100⪄≮⫘↔1100010001111)⊠≄⫣))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":22188,"operation_count":8,"complexity_ratio":2773.5,"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":1039,"base":2},"right_expr":{"type":"numeric_atoms","value":1154,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3150,"base":2},"right_expr":{"type":"numeric_atoms","value":1203,"base":2}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3884,"base":2},"right_expr":{"type":"numeric_atoms","value":6287,"base":2}}}}},"used_operators":["f6k1SAg4EE","XTarYq4gQB","dWAJyo7jo9","XhwjNDsVaA","LRNGc0VcxI","8jW3W4yZS5","DIvbN7qnHd","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","k8jYdgA6NY","rysDP5nf3Z","X99M06cbEe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1039","layer":4},{"info":"number node, value=1154","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=1154, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=3150","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=3150, right_input=1203, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"number node, value=3884","layer":4},{"info":"number node, value=6287","layer":4},{"info":"compute binary expreesion, left_input=3884, right_input=6287, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-596069","layer":3},{"info":"compute unary expreesion, input=-596069, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⪝⪂⫅(≮⫘↔10000001111/≮⫘↔10010000010)⪢(≮⫘↔110001001110∀⇚≩≮⫘↔10010110011))⪒(↯⪼((≮⫘↔111100101100⪄≮⫘↔1100010001111)⊠≄⫣))=NaN","reverse_text":"NaN=(⪝⪂⫅(≮⫘↔10000001111/≮⫘↔10010000010)⪢(≮⫘↔110001001110∀⇚≩≮⫘↔10010110011))⪒(↯⪼((≮⫘↔111100101100⪄≮⫘↔1100010001111)⊠≄⫣))","cot":[{"info":"≮⫘↔10000001111/≮⫘↔10010000010=≮⫘↔0","layer":3},{"info":"≮⫘↔110001001110∀⇚≩≮⫘↔10010110011=NaN","layer":3},{"info":"≮⫘↔0⪢NaN=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"≮⫘↔111100101100⪄≮⫘↔1100010001111=≮⫘↔-10010001100001100101","layer":3},{"info":"≮⫘↔-10010001100001100101⊠≄⫣=≮⫘↔0","layer":2},{"info":"↯⪼≮⫘↔0=≮⫘↔-10101","layer":1},{"info":"NaN⪒≮⫘↔-10101=NaN","layer":0}]}
{"id":545,"expression_no_base_symbol":"$1901$⇷$4534$⫥∨⫟$1924$∀⇚≩$5826$⨎(-($1826$⪨≂$4684$))⪒($1573$≹⇙⪍$1869$↪⪝)⨽($1038$⫥∨⫟$5012$)⋝⋈⪟(≦∁$1438$)","expression":"≮⫘↔11101101101⇷≮⫘↔1000110110110⫥∨⫟≮⫘↔11110000100∀⇚≩≮⫘↔1011011000010⨎(-(≮⫘↔11100100010⪨≂≮⫘↔1001001001100))⪒(≮⫘↔11000100101≹⇙⪍≮⫘↔11101001101↪⪝)⨽(≮⫘↔10000001110⫥∨⫟≮⫘↔1001110010100)⋝⋈⪟(≦∁≮⫘↔10110011110)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":40426,"operation_count":13,"complexity_ratio":3109.6923076923076,"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":1901,"base":2},"right_expr":{"type":"numeric_atoms","value":4534,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1924,"base":2},"right_expr":{"type":"numeric_atoms","value":5826,"base":2}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1826,"base":2},"right_expr":{"type":"numeric_atoms","value":4684,"base":2}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1573,"base":2},"right_expr":{"type":"numeric_atoms","value":1869,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1038,"base":2},"right_expr":{"type":"numeric_atoms","value":5012,"base":2}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1438,"base":2}}}}},"used_operators":["f6k1SAg4EE","rJVOvQCfKK","KYD54nUTWz","mp7IySMOzn","LRNGc0VcxI","t8gj7n24qd","sdazOOVcIp","8HhzD0ZcuI","l07mrZUIn9","AHs5Up7iyr","2DDjHMKMc0","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8HhzD0ZcuI","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","2DDjHMKMc0","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1901","layer":4},{"info":"number node, value=4534","layer":4},{"info":"compute binary expreesion, left_input=1901, right_input=4534, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9068","layer":3},{"info":"number node, value=1924","layer":4},{"info":"number node, value=5826","layer":4},{"info":"compute binary expreesion, left_input=1924, right_input=5826, 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=9068, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1826","layer":4},{"info":"number node, value=4684","layer":4},{"info":"compute binary expreesion, left_input=1826, right_input=4684, 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=-5614","layer":3},{"info":"compute unary expreesion, input=-5614, op_id = t8gj7n24qd, unary_op_definition = 'None', output=5614","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5614, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5614","layer":1},{"info":"number node, value=1573","layer":4},{"info":"number node, value=1869","layer":4},{"info":"compute binary expreesion, left_input=1573, right_input=1869, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":2},{"info":"number node, value=1038","layer":4},{"info":"number node, value=5012","layer":4},{"info":"compute binary expreesion, left_input=1038, right_input=5012, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1438","layer":4},{"info":"compute unary expreesion, input=1438, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1438","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1438, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, 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=5614, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔11101101101⇷≮⫘↔1000110110110⫥∨⫟≮⫘↔11110000100∀⇚≩≮⫘↔1011011000010⨎(-(≮⫘↔11100100010⪨≂≮⫘↔1001001001100))⪒(≮⫘↔11000100101≹⇙⪍≮⫘↔11101001101↪⪝)⨽(≮⫘↔10000001110⫥∨⫟≮⫘↔1001110010100)⋝⋈⪟(≦∁≮⫘↔10110011110)=NaN","reverse_text":"NaN=≮⫘↔11101101101⇷≮⫘↔1000110110110⫥∨⫟≮⫘↔11110000100∀⇚≩≮⫘↔1011011000010⨎(-(≮⫘↔11100100010⪨≂≮⫘↔1001001001100))⪒(≮⫘↔11000100101≹⇙⪍≮⫘↔11101001101↪⪝)⨽(≮⫘↔10000001110⫥∨⫟≮⫘↔1001110010100)⋝⋈⪟(≦∁≮⫘↔10110011110)","cot":[{"info":"≮⫘↔11101101101⇷≮⫘↔1000110110110=≮⫘↔10001101101100","layer":3},{"info":"≮⫘↔11110000100∀⇚≩≮⫘↔1011011000010=NaN","layer":3},{"info":"≮⫘↔10001101101100⫥∨⫟NaN=NaN","layer":2},{"info":"≮⫘↔11100100010⪨≂≮⫘↔1001001001100=≮⫘↔-1010111101110","layer":3},{"info":"-≮⫘↔-1010111101110=≮⫘↔1010111101110","layer":2},{"info":"NaN⨎≮⫘↔1010111101110=≮⫘↔1010111101110","layer":1},{"info":"≮⫘↔11000100101≹⇙⪍≮⫘↔11101001101=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"≮⫘↔10000001110⫥∨⫟≮⫘↔1001110010100=NaN","layer":3},{"info":"≦∁≮⫘↔10110011110=≮⫘↔10110011110","layer":3},{"info":"NaN⋝⋈⪟≮⫘↔10110011110=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"≮⫘↔1010111101110⪒NaN=NaN","layer":0}]}
{"id":546,"expression_no_base_symbol":"≉($4113$⋓$6657$⪨≂$3932$∼$2389$+($3418$⩠)⨰($1933$⨽$1718$))","expression":"≉(≮⫘↔1000000010001⋓≮⫘↔1101000000001⪨≂≮⫘↔111101011100∼≮⫘↔100101010101+(≮⫘↔110101011010⩠)⨰(≮⫘↔11110001101⨽≮⫘↔11010110110))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2065,"operation_count":8,"complexity_ratio":258.125,"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":4113,"base":2},"right_expr":{"type":"numeric_atoms","value":6657,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3932,"base":2},"right_expr":{"type":"numeric_atoms","value":2389,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3418,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1933,"base":2},"right_expr":{"type":"numeric_atoms","value":1718,"base":2}}}}},"used_operators":["e1ybzncUwg","W4YGzv6Whe","sdazOOVcIp","T2fj7uvVaJ","DyGG3AbaNP","eewbuw0ToL","sJAwomhLZr","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4113","layer":4},{"info":"number node, value=6657","layer":4},{"info":"compute binary expreesion, left_input=4113, right_input=6657, 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=3932","layer":4},{"info":"number node, value=2389","layer":4},{"info":"compute binary expreesion, left_input=3932, right_input=2389, 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 = 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=3418","layer":4},{"info":"compute unary expreesion, input=3418, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1933","layer":4},{"info":"number node, value=1718","layer":4},{"info":"compute binary expreesion, left_input=1933, right_input=1718, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11213307","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-11213307, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=11213317","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11213317, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≉(≮⫘↔1000000010001⋓≮⫘↔1101000000001⪨≂≮⫘↔111101011100∼≮⫘↔100101010101+(≮⫘↔110101011010⩠)⨰(≮⫘↔11110001101⨽≮⫘↔11010110110))=NaN","reverse_text":"NaN=≉(≮⫘↔1000000010001⋓≮⫘↔1101000000001⪨≂≮⫘↔111101011100∼≮⫘↔100101010101+(≮⫘↔110101011010⩠)⨰(≮⫘↔11110001101⨽≮⫘↔11010110110))","cot":[{"info":"≮⫘↔1000000010001⋓≮⫘↔1101000000001=≮⫘↔0","layer":3},{"info":"≮⫘↔111101011100∼≮⫘↔100101010101=NaN","layer":3},{"info":"≮⫘↔0⪨≂NaN=NaN","layer":2},{"info":"≮⫘↔110101011010⩠=≮⫘↔0","layer":3},{"info":"≮⫘↔11110001101⨽≮⫘↔11010110110=≮⫘↔-101010110001100111111011","layer":3},{"info":"≮⫘↔0⨰≮⫘↔-101010110001100111111011=≮⫘↔101010110001101000000101","layer":2},{"info":"NaN+≮⫘↔101010110001101000000101=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":547,"expression_no_base_symbol":"((($2077$⋫)∲⫓(-$4473$))∲⫓$1227$≹⇙⪍$4535$*(↩$3552$))⊪","expression":"(((≮⫘↔100000011101⋫)∲⫓(-≮⫘↔1000101111001))∲⫓≮⫘↔10011001011≹⇙⪍≮⫘↔1000110110111*(↩≮⫘↔110111100000))⊪","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2112,"operation_count":8,"complexity_ratio":264.0,"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":2077,"base":2}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4473,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1227,"base":2},"right_expr":{"type":"numeric_atoms","value":4535,"base":2}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3552,"base":2}}}}},"used_operators":["zVYPLywUTj","i8ToyICDmI","JL8yIekQnl","t8gj7n24qd","9HNa5Wba9A","AHs5Up7iyr","jLgFTUHLKL"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","dWAJyo7jo9","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2077","layer":4},{"info":"compute unary expreesion, input=2077, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2077","layer":3},{"info":"number node, value=4473","layer":4},{"info":"compute unary expreesion, input=4473, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4473","layer":3},{"info":"compute binary expreesion, left_input=2077, right_input=-4473, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=2077","layer":2},{"info":"number node, value=1227","layer":4},{"info":"number node, value=4535","layer":4},{"info":"compute binary expreesion, left_input=1227, right_input=4535, 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=3552","layer":4},{"info":"compute unary expreesion, input=3552, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-25636","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-25636, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2077, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, 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=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔100000011101⋫)∲⫓(-≮⫘↔1000101111001))∲⫓≮⫘↔10011001011≹⇙⪍≮⫘↔1000110110111*(↩≮⫘↔110111100000))⊪=NaN","reverse_text":"NaN=(((≮⫘↔100000011101⋫)∲⫓(-≮⫘↔1000101111001))∲⫓≮⫘↔10011001011≹⇙⪍≮⫘↔1000110110111*(↩≮⫘↔110111100000))⊪","cot":[{"info":"≮⫘↔100000011101⋫=≮⫘↔100000011101","layer":3},{"info":"-≮⫘↔1000101111001=≮⫘↔-1000101111001","layer":3},{"info":"≮⫘↔100000011101∲⫓≮⫘↔-1000101111001=≮⫘↔100000011101","layer":2},{"info":"≮⫘↔10011001011≹⇙⪍≮⫘↔1000110110111=NaN","layer":3},{"info":"↩≮⫘↔110111100000=≮⫘↔-110010000100100","layer":3},{"info":"NaN*≮⫘↔-110010000100100=NaN","layer":2},{"info":"≮⫘↔100000011101∲⫓NaN=NaN","layer":1},{"info":"NaN⊪=NaN","layer":0}]}
{"id":548,"expression_no_base_symbol":"(($5080$⩚⊴⇥$3667$)⪢($2480$⨵⪆$3225$)≎⊠⪸($3568$≧⫂∧$3782$⪨≂($2049$⩤)))⨪↰⇹((($2191$⊭∹↮)∸)⊉≛↸($3384$⨓$2733$)⨟⋌⩍($3499$⨰$1038$))","expression":"((≮⫘↔1001111011000⩚⊴⇥≮⫘↔111001010011)⪢(≮⫘↔100110110000⨵⪆≮⫘↔110010011001)≎⊠⪸(≮⫘↔110111110000≧⫂∧≮⫘↔111011000110⪨≂(≮⫘↔100000000001⩤)))⨪↰⇹(((≮⫘↔100010001111⊭∹↮)∸)⊉≛↸(≮⫘↔110100111000⨓≮⫘↔101010101101)⨟⋌⩍(≮⫘↔110110101011⨰≮⫘↔10000001110))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4772,"operation_count":14,"complexity_ratio":340.85714285714283,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5080,"base":2},"right_expr":{"type":"numeric_atoms","value":3667,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2480,"base":2},"right_expr":{"type":"numeric_atoms","value":3225,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3568,"base":2},"right_expr":{"type":"numeric_atoms","value":3782,"base":2}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2049,"base":2}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2191,"base":2}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3384,"base":2},"right_expr":{"type":"numeric_atoms","value":2733,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3499,"base":2},"right_expr":{"type":"numeric_atoms","value":1038,"base":2}}}}},"used_operators":["tmPS8pqC7x","bJkvcejdHO","dWAJyo7jo9","NTOWxs364D","2DQ55sFlQl","sdazOOVcIp","Ph9nP6C5qx","Z2TMIBDE3Q","DZ8iAZOCBD","o20kRiQErp","xNBdhnnwKq","rGHVDoGpnC","3ViojmjbAp","eewbuw0ToL"],"dependent_operators":["rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5080","layer":4},{"info":"number node, value=3667","layer":4},{"info":"compute binary expreesion, left_input=5080, right_input=3667, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8868","layer":3},{"info":"number node, value=2480","layer":4},{"info":"number node, value=3225","layer":4},{"info":"compute binary expreesion, left_input=2480, right_input=3225, 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=-8868, right_input=160, 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=3568","layer":4},{"info":"number node, value=3782","layer":4},{"info":"compute binary expreesion, left_input=3568, right_input=3782, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3309","layer":3},{"info":"number node, value=2049","layer":4},{"info":"compute unary expreesion, input=2049, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2049","layer":3},{"info":"compute binary expreesion, left_input=3309, right_input=-2049, 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=10818","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10818, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=2191","layer":4},{"info":"compute unary expreesion, input=2191, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4382","layer":3},{"info":"compute unary expreesion, input=4382, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=3384","layer":4},{"info":"number node, value=2733","layer":4},{"info":"compute binary expreesion, left_input=3384, right_input=2733, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2736","layer":3},{"info":"number node, value=3499","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=3499, right_input=1038, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2471","layer":3},{"info":"compute binary expreesion, left_input=-2736, right_input=2471, 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=177, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=354","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=354, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001111011000⩚⊴⇥≮⫘↔111001010011)⪢(≮⫘↔100110110000⨵⪆≮⫘↔110010011001)≎⊠⪸(≮⫘↔110111110000≧⫂∧≮⫘↔111011000110⪨≂(≮⫘↔100000000001⩤)))⨪↰⇹(((≮⫘↔100010001111⊭∹↮)∸)⊉≛↸(≮⫘↔110100111000⨓≮⫘↔101010101101)⨟⋌⩍(≮⫘↔110110101011⨰≮⫘↔10000001110))=NaN","reverse_text":"NaN=((≮⫘↔1001111011000⩚⊴⇥≮⫘↔111001010011)⪢(≮⫘↔100110110000⨵⪆≮⫘↔110010011001)≎⊠⪸(≮⫘↔110111110000≧⫂∧≮⫘↔111011000110⪨≂(≮⫘↔100000000001⩤)))⨪↰⇹(((≮⫘↔100010001111⊭∹↮)∸)⊉≛↸(≮⫘↔110100111000⨓≮⫘↔101010101101)⨟⋌⩍(≮⫘↔110110101011⨰≮⫘↔10000001110))","cot":[{"info":"≮⫘↔1001111011000⩚⊴⇥≮⫘↔111001010011=≮⫘↔-10001010100100","layer":3},{"info":"≮⫘↔100110110000⨵⪆≮⫘↔110010011001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-10001010100100⪢≮⫘↔10100000=NaN","layer":2},{"info":"≮⫘↔110111110000≧⫂∧≮⫘↔111011000110=≮⫘↔110011101101","layer":3},{"info":"≮⫘↔100000000001⩤=≮⫘↔-100000000001","layer":3},{"info":"≮⫘↔110011101101⪨≂≮⫘↔-100000000001=≮⫘↔10101001000010","layer":2},{"info":"NaN≎⊠⪸≮⫘↔10101001000010=NaN","layer":1},{"info":"≮⫘↔100010001111⊭∹↮=≮⫘↔1000100011110","layer":3},{"info":"≮⫘↔1000100011110∸=≮⫘↔10110001","layer":2},{"info":"≮⫘↔110100111000⨓≮⫘↔101010101101=≮⫘↔-101010110000","layer":3},{"info":"≮⫘↔110110101011⨰≮⫘↔10000001110=≮⫘↔100110100111","layer":3},{"info":"≮⫘↔-101010110000⨟⋌⩍≮⫘↔100110100111=NaN","layer":2},{"info":"≮⫘↔10110001⊉≛↸NaN=≮⫘↔101100010","layer":1},{"info":"NaN⨪↰⇹≮⫘↔101100010=NaN","layer":0}]}
{"id":549,"expression_no_base_symbol":"(($2010$⊭↱$1725$)⪠⩆⊳)⪮%⊝(↣≠⋷($1199$⊭↱$2770$))↪⪝","expression":"((≮⫘↔11111011010⊭↱≮⫘↔11010111101)⪠⩆⊳)⪮%⊝(↣≠⋷(≮⫘↔10010101111⊭↱≮⫘↔101011010010))↪⪝","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":35,"operation_count":6,"complexity_ratio":5.833333333333333,"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":2010,"base":2},"right_expr":{"type":"numeric_atoms","value":1725,"base":2}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1199,"base":2},"right_expr":{"type":"numeric_atoms","value":2770,"base":2}}}}},"used_operators":["l07mrZUIn9","IWmyXbctLI","JLbD19bQDL","COABgblf1C","Asc51vEJeQ"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=2010","layer":4},{"info":"number node, value=1725","layer":4},{"info":"compute binary expreesion, left_input=2010, right_input=1725, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-565","layer":3},{"info":"compute unary expreesion, input=-565, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"number node, value=1199","layer":4},{"info":"number node, value=2770","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=2770, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3147","layer":3},{"info":"compute unary expreesion, input=3147, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11111011010⊭↱≮⫘↔11010111101)⪠⩆⊳)⪮%⊝(↣≠⋷(≮⫘↔10010101111⊭↱≮⫘↔101011010010))↪⪝=NaN","reverse_text":"NaN=((≮⫘↔11111011010⊭↱≮⫘↔11010111101)⪠⩆⊳)⪮%⊝(↣≠⋷(≮⫘↔10010101111⊭↱≮⫘↔101011010010))↪⪝","cot":[{"info":"≮⫘↔11111011010⊭↱≮⫘↔11010111101=≮⫘↔-1000110101","layer":3},{"info":"≮⫘↔-1000110101⪠⩆⊳=≮⫘↔0","layer":2},{"info":"≮⫘↔10010101111⊭↱≮⫘↔101011010010=≮⫘↔110001001011","layer":3},{"info":"↣≠⋷≮⫘↔110001001011=NaN","layer":2},{"info":"≮⫘↔0⪮%⊝NaN=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":550,"expression_no_base_symbol":"((($1499$⊦⊿)⪄($1114$⩨$6971$))↺($5751$↬$5429$-(⇁⨣⪵$1166$)))⪢($2891$⫥∨⫟$4774$⨸⪁($2724$⪒$1279$))⪮%⊝($1933$⨐⩸⫘$1459$⊭↱(≉$3300$))","expression":"(((≮⫘↔10111011011⊦⊿)⪄(≮⫘↔10001011010⩨≮⫘↔1101100111011))↺(≮⫘↔1011001110111↬≮⫘↔1010100110101-(⇁⨣⪵≮⫘↔10010001110)))⪢(≮⫘↔101101001011⫥∨⫟≮⫘↔1001010100110⨸⪁(≮⫘↔101010100100⪒≮⫘↔10011111111))⪮%⊝(≮⫘↔11110001101⨐⩸⫘≮⫘↔10110110011⊭↱(≉≮⫘↔110011100100))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":292,"operation_count":15,"complexity_ratio":19.466666666666665,"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":1499,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1114,"base":2},"right_expr":{"type":"numeric_atoms","value":6971,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5751,"base":2},"right_expr":{"type":"numeric_atoms","value":5429,"base":2}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1166,"base":2}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2891,"base":2},"right_expr":{"type":"numeric_atoms","value":4774,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2724,"base":2},"right_expr":{"type":"numeric_atoms","value":1279,"base":2}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1933,"base":2},"right_expr":{"type":"numeric_atoms","value":1459,"base":2}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3300,"base":2}}}}},"used_operators":["dWAJyo7jo9","7j4O788W3g","SUmda5xLS4","14qkJME0vr","2DlMacCsIx","rysDP5nf3Z","B5M0gjZbta","inkyxCbjAn","IWmyXbctLI","g55IO6H4Gj","KYD54nUTWz","f6k1SAg4EE","COABgblf1C","fu6greOZ01","e1ybzncUwg"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","B5M0gjZbta","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1499","layer":4},{"info":"compute unary expreesion, input=1499, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4576","layer":3},{"info":"number node, value=1114","layer":4},{"info":"number node, value=6971","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=6971, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-18","layer":3},{"info":"compute binary expreesion, left_input=-4576, right_input=-18, 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=5751","layer":4},{"info":"number node, value=5429","layer":4},{"info":"compute binary expreesion, left_input=5751, right_input=5429, 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=1166","layer":4},{"info":"compute unary expreesion, input=1166, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3979, 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":"number node, value=2891","layer":4},{"info":"number node, value=4774","layer":4},{"info":"compute binary expreesion, left_input=2891, right_input=4774, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2724","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=2724, right_input=1279, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4003","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4003, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=1933","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=1933, right_input=1459, 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=3300","layer":4},{"info":"compute unary expreesion, input=3300, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3831","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3831, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10111011011⊦⊿)⪄(≮⫘↔10001011010⩨≮⫘↔1101100111011))↺(≮⫘↔1011001110111↬≮⫘↔1010100110101-(⇁⨣⪵≮⫘↔10010001110)))⪢(≮⫘↔101101001011⫥∨⫟≮⫘↔1001010100110⨸⪁(≮⫘↔101010100100⪒≮⫘↔10011111111))⪮%⊝(≮⫘↔11110001101⨐⩸⫘≮⫘↔10110110011⊭↱(≉≮⫘↔110011100100))=NaN","reverse_text":"NaN=(((≮⫘↔10111011011⊦⊿)⪄(≮⫘↔10001011010⩨≮⫘↔1101100111011))↺(≮⫘↔1011001110111↬≮⫘↔1010100110101-(⇁⨣⪵≮⫘↔10010001110)))⪢(≮⫘↔101101001011⫥∨⫟≮⫘↔1001010100110⨸⪁(≮⫘↔101010100100⪒≮⫘↔10011111111))⪮%⊝(≮⫘↔11110001101⨐⩸⫘≮⫘↔10110110011⊭↱(≉≮⫘↔110011100100))","cot":[{"info":"≮⫘↔10111011011⊦⊿=≮⫘↔-1000111100000","layer":3},{"info":"≮⫘↔10001011010⩨≮⫘↔1101100111011=≮⫘↔-10010","layer":3},{"info":"≮⫘↔-1000111100000⪄≮⫘↔-10010=≮⫘↔111110001011","layer":2},{"info":"≮⫘↔1011001110111↬≮⫘↔1010100110101=NaN","layer":3},{"info":"⇁⨣⪵≮⫘↔10010001110=NaN","layer":3},{"info":"NaN-NaN=NaN","layer":2},{"info":"≮⫘↔111110001011↺NaN=NaN","layer":1},{"info":"≮⫘↔101101001011⫥∨⫟≮⫘↔1001010100110=NaN","layer":3},{"info":"≮⫘↔101010100100⪒≮⫘↔10011111111=≮⫘↔-111110100011","layer":3},{"info":"NaN⨸⪁≮⫘↔-111110100011=NaN","layer":2},{"info":"≮⫘↔11110001101⨐⩸⫘≮⫘↔10110110011=NaN","layer":3},{"info":"≉≮⫘↔110011100100=≮⫘↔111011110111","layer":3},{"info":"NaN⊭↱≮⫘↔111011110111=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":551,"expression_no_base_symbol":"≤/(↯⪼(($1172$⫸⊐$1242$)↬($7168$⋷$2976$)))","expression":"≤/(↯⪼((≮⫘↔10010010100⫸⊐≮⫘↔10011011010)↬(≮⫘↔1110000000000⋷≮⫘↔101110100000)))","highest_n_order":5,"priority_hierarchical_complexity":4,"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":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1172,"base":2},"right_expr":{"type":"numeric_atoms","value":1242,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7168,"base":2},"right_expr":{"type":"numeric_atoms","value":2976,"base":2}}}}},"used_operators":["eLAdDNolq6","8jW3W4yZS5","B5M0gjZbta","mqXw5SEYmG","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔111111001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1172","layer":4},{"info":"number node, value=1242","layer":4},{"info":"compute binary expreesion, left_input=1172, right_input=1242, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4843","layer":3},{"info":"number node, value=7168","layer":4},{"info":"number node, value=2976","layer":4},{"info":"compute binary expreesion, left_input=7168, right_input=2976, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1216","layer":3},{"info":"compute binary expreesion, left_input=4843, right_input=-1216, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=505","layer":0}],"base":2,"result_base":2,"text":"≤/(↯⪼((≮⫘↔10010010100⫸⊐≮⫘↔10011011010)↬(≮⫘↔1110000000000⋷≮⫘↔101110100000)))=≮⫘↔111111001","reverse_text":"≮⫘↔111111001=≤/(↯⪼((≮⫘↔10010010100⫸⊐≮⫘↔10011011010)↬(≮⫘↔1110000000000⋷≮⫘↔101110100000)))","cot":[{"info":"≮⫘↔10010010100⫸⊐≮⫘↔10011011010=≮⫘↔1001011101011","layer":3},{"info":"≮⫘↔1110000000000⋷≮⫘↔101110100000=≮⫘↔-10011000000","layer":3},{"info":"≮⫘↔1001011101011↬≮⫘↔-10011000000=NaN","layer":2},{"info":"↯⪼NaN=≮⫘↔-10101","layer":1},{"info":"≤/≮⫘↔-10101=≮⫘↔111111001","layer":0}]}
{"id":552,"expression_no_base_symbol":"(⪲⇎$1254$⨽$3811$)⨎(($7675$⩚⊴⇥$2494$)≦≮≮)⨐⩸⫘(⋗⩬⋾($1446$⨎$1015$)≧⫂∧($1882$↛⩡⫤))","expression":"(⪲⇎≮⫘↔10011100110⨽≮⫘↔111011100011)⨎((≮⫘↔1110111111011⩚⊴⇥≮⫘↔100110111110)≦≮≮)⨐⩸⫘(⋗⩬⋾(≮⫘↔10110100110⨎≮⫘↔1111110111)≧⫂∧(≮⫘↔11101011010↛⩡⫤))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7059,"operation_count":10,"complexity_ratio":705.9,"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":1254,"base":2},"right_expr":{"type":"numeric_atoms","value":3811,"base":2}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":7675,"base":2},"right_expr":{"type":"numeric_atoms","value":2494,"base":2}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1446,"base":2},"right_expr":{"type":"numeric_atoms","value":1015,"base":2}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1882,"base":2}}}}},"used_operators":["fu6greOZ01","rJVOvQCfKK","XPYlsWDdGa","8HhzD0ZcuI","D4vGDi5EA2","NTOWxs364D","DpFCA1CohY","Ph9nP6C5qx","FU0Cs4j7VP"],"dependent_operators":["3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1254","layer":4},{"info":"number node, value=3811","layer":4},{"info":"compute binary expreesion, left_input=1254, right_input=3811, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4727667","layer":3},{"info":"compute unary expreesion, input=-4727667, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-9455334","layer":2},{"info":"number node, value=7675","layer":4},{"info":"number node, value=2494","layer":4},{"info":"compute binary expreesion, left_input=7675, right_input=2494, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10290","layer":3},{"info":"compute unary expreesion, input=-10290, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=30870","layer":2},{"info":"compute binary expreesion, left_input=-9455334, right_input=30870, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=30870","layer":1},{"info":"number node, value=1446","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=1015, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1015","layer":3},{"info":"number node, value=1882","layer":4},{"info":"compute unary expreesion, input=1882, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-280271","layer":3},{"info":"compute binary expreesion, left_input=1015, right_input=-280271, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=281286","layer":2},{"info":"compute unary expreesion, input=281286, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-843858","layer":1},{"info":"compute binary expreesion, left_input=30870, right_input=-843858, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⪲⇎≮⫘↔10011100110⨽≮⫘↔111011100011)⨎((≮⫘↔1110111111011⩚⊴⇥≮⫘↔100110111110)≦≮≮)⨐⩸⫘(⋗⩬⋾(≮⫘↔10110100110⨎≮⫘↔1111110111)≧⫂∧(≮⫘↔11101011010↛⩡⫤))=NaN","reverse_text":"NaN=(⪲⇎≮⫘↔10011100110⨽≮⫘↔111011100011)⨎((≮⫘↔1110111111011⩚⊴⇥≮⫘↔100110111110)≦≮≮)⨐⩸⫘(⋗⩬⋾(≮⫘↔10110100110⨎≮⫘↔1111110111)≧⫂∧(≮⫘↔11101011010↛⩡⫤))","cot":[{"info":"≮⫘↔10011100110⨽≮⫘↔111011100011=≮⫘↔-10010000010001101110011","layer":3},{"info":"⪲⇎≮⫘↔-10010000010001101110011=≮⫘↔-100100000100011011100110","layer":2},{"info":"≮⫘↔1110111111011⩚⊴⇥≮⫘↔100110111110=≮⫘↔-10100000110010","layer":3},{"info":"≮⫘↔-10100000110010≦≮≮=≮⫘↔111100010010110","layer":2},{"info":"≮⫘↔-100100000100011011100110⨎≮⫘↔111100010010110=≮⫘↔111100010010110","layer":1},{"info":"≮⫘↔10110100110⨎≮⫘↔1111110111=≮⫘↔1111110111","layer":3},{"info":"≮⫘↔11101011010↛⩡⫤=≮⫘↔-1000100011011001111","layer":3},{"info":"≮⫘↔1111110111≧⫂∧≮⫘↔-1000100011011001111=≮⫘↔1000100101011000110","layer":2},{"info":"⋗⩬⋾≮⫘↔1000100101011000110=≮⫘↔-11001110000001010010","layer":1},{"info":"≮⫘↔111100010010110⨐⩸⫘≮⫘↔-11001110000001010010=NaN","layer":0}]}
{"id":553,"expression_no_base_symbol":"(((∥⊫$5681$)↺(⨵≀≌$4707$))≭(↔($6596$⨎$1336$)))∀⇚≩(($5753$⫌⩹⨱)≹⇙⪍($5471$⋓$1810$)↺$2568$⨟⋌⩍$4743$⨽(∥⊫$2978$))","expression":"(((∥⊫≮⫘↔1011000110001)↺(⨵≀≌≮⫘↔1001001100011))≭(↔(≮⫘↔1100111000100⨎≮⫘↔10100111000)))∀⇚≩((≮⫘↔1011001111001⫌⩹⨱)≹⇙⪍(≮⫘↔1010101011111⋓≮⫘↔11100010010)↺≮⫘↔101000001000⨟⋌⩍≮⫘↔1001010000111⨽(∥⊫≮⫘↔101110100010))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":57,"operation_count":14,"complexity_ratio":4.071428571428571,"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":5681,"base":2}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4707,"base":2}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6596,"base":2},"right_expr":{"type":"numeric_atoms","value":1336,"base":2}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":5753,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5471,"base":2},"right_expr":{"type":"numeric_atoms","value":1810,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2568,"base":2},"right_expr":{"type":"numeric_atoms","value":4743,"base":2}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2978,"base":2}}}}},"used_operators":["LRNGc0VcxI","rxpJgHHUmx","7j4O788W3g","P8v4zCKN1o","srAu1WTS94","ruOEQAzv1W","rJVOvQCfKK","AHs5Up7iyr","EBcxylXtPf","T2fj7uvVaJ","8HhzD0ZcuI","rGHVDoGpnC"],"dependent_operators":["X99M06cbEe","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5681","layer":4},{"info":"compute unary expreesion, input=5681, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6549","layer":3},{"info":"number node, value=4707","layer":4},{"info":"compute unary expreesion, input=4707, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-14121","layer":3},{"info":"compute binary expreesion, left_input=6549, right_input=-14121, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-14121","layer":2},{"info":"number node, value=6596","layer":4},{"info":"number node, value=1336","layer":4},{"info":"compute binary expreesion, left_input=6596, right_input=1336, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1336","layer":3},{"info":"compute unary expreesion, input=1336, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1063","layer":2},{"info":"compute binary expreesion, left_input=-14121, right_input=-1063, 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=5753","layer":4},{"info":"compute unary expreesion, input=5753, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=12907","layer":3},{"info":"number node, value=5471","layer":4},{"info":"number node, value=1810","layer":4},{"info":"compute binary expreesion, left_input=5471, right_input=1810, 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=12907, 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=12907","layer":2},{"info":"number node, value=2568","layer":4},{"info":"number node, value=4743","layer":4},{"info":"compute binary expreesion, left_input=2568, right_input=4743, 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=2978","layer":4},{"info":"compute unary expreesion, input=2978, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3846","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3846, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=12907, 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 binary expreesion, left_input=nan, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((∥⊫≮⫘↔1011000110001)↺(⨵≀≌≮⫘↔1001001100011))≭(↔(≮⫘↔1100111000100⨎≮⫘↔10100111000)))∀⇚≩((≮⫘↔1011001111001⫌⩹⨱)≹⇙⪍(≮⫘↔1010101011111⋓≮⫘↔11100010010)↺≮⫘↔101000001000⨟⋌⩍≮⫘↔1001010000111⨽(∥⊫≮⫘↔101110100010))=NaN","reverse_text":"NaN=(((∥⊫≮⫘↔1011000110001)↺(⨵≀≌≮⫘↔1001001100011))≭(↔(≮⫘↔1100111000100⨎≮⫘↔10100111000)))∀⇚≩((≮⫘↔1011001111001⫌⩹⨱)≹⇙⪍(≮⫘↔1010101011111⋓≮⫘↔11100010010)↺≮⫘↔101000001000⨟⋌⩍≮⫘↔1001010000111⨽(∥⊫≮⫘↔101110100010))","cot":[{"info":"∥⊫≮⫘↔1011000110001=≮⫘↔1100110010101","layer":3},{"info":"⨵≀≌≮⫘↔1001001100011=≮⫘↔-11011100101001","layer":3},{"info":"≮⫘↔1100110010101↺≮⫘↔-11011100101001=≮⫘↔-11011100101001","layer":2},{"info":"≮⫘↔1100111000100⨎≮⫘↔10100111000=≮⫘↔10100111000","layer":3},{"info":"↔≮⫘↔10100111000=≮⫘↔-10000100111","layer":2},{"info":"≮⫘↔-11011100101001≭≮⫘↔-10000100111=NaN","layer":1},{"info":"≮⫘↔1011001111001⫌⩹⨱=≮⫘↔11001001101011","layer":3},{"info":"≮⫘↔1010101011111⋓≮⫘↔11100010010=≮⫘↔0","layer":3},{"info":"≮⫘↔11001001101011≹⇙⪍≮⫘↔0=≮⫘↔11001001101011","layer":2},{"info":"≮⫘↔101000001000⨟⋌⩍≮⫘↔1001010000111=NaN","layer":3},{"info":"∥⊫≮⫘↔101110100010=≮⫘↔111100000110","layer":3},{"info":"NaN⨽≮⫘↔111100000110=NaN","layer":2},{"info":"≮⫘↔11001001101011↺NaN=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":554,"expression_no_base_symbol":"((($1358$%$1769$)⪐)⩨(≦∁$6683$)↙$3214$∼$1926$)≎⊠⪸($6550$⪢$2986$↙(↣≠⋷$8024$)⪒($5856$⋷$1244$+$3976$↙$2860$))","expression":"(((≮⫘↔10101001110%≮⫘↔11011101001)⪐)⩨(≦∁≮⫘↔1101000011011)↙≮⫘↔110010001110∼≮⫘↔11110000110)≎⊠⪸(≮⫘↔1100110010110⪢≮⫘↔101110101010↙(↣≠⋷≮⫘↔1111101011000)⪒(≮⫘↔1011011100000⋷≮⫘↔10011011100+≮⫘↔111110001000↙≮⫘↔101100101100))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12696,"operation_count":14,"complexity_ratio":906.8571428571429,"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":1358,"base":2},"right_expr":{"type":"numeric_atoms","value":1769,"base":2}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":6683,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3214,"base":2},"right_expr":{"type":"numeric_atoms","value":1926,"base":2}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6550,"base":2},"right_expr":{"type":"numeric_atoms","value":2986,"base":2}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":8024,"base":2}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5856,"base":2},"right_expr":{"type":"numeric_atoms","value":1244,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3976,"base":2},"right_expr":{"type":"numeric_atoms","value":2860,"base":2}}}}},"used_operators":["bJkvcejdHO","2DlMacCsIx","eH2TOUuTDT","k8jYdgA6NY","yyfyN0ffXY","9ICcGScMcE","DyGG3AbaNP","f6k1SAg4EE","dWAJyo7jo9","Asc51vEJeQ","W4YGzv6Whe","23Mk6UjR3U"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1358","layer":4},{"info":"number node, value=1769","layer":4},{"info":"compute binary expreesion, left_input=1358, right_input=1769, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1358","layer":3},{"info":"compute unary expreesion, input=1358, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2716","layer":2},{"info":"number node, value=6683","layer":4},{"info":"compute unary expreesion, input=6683, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=6683","layer":3},{"info":"number node, value=3214","layer":4},{"info":"number node, value=1926","layer":4},{"info":"compute binary expreesion, left_input=3214, right_input=1926, 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=6683, right_input=nan, 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=2716, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=6550","layer":4},{"info":"number node, value=2986","layer":4},{"info":"compute binary expreesion, left_input=6550, right_input=2986, 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=8024","layer":4},{"info":"compute unary expreesion, input=8024, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"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":2},{"info":"number node, value=5856","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=5856, right_input=1244, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3368","layer":3},{"info":"number node, value=3976","layer":4},{"info":"number node, value=2860","layer":4},{"info":"compute binary expreesion, left_input=3976, right_input=2860, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8580","layer":3},{"info":"compute binary expreesion, left_input=-3368, right_input=-8580, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-11948","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-11948, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10101001110%≮⫘↔11011101001)⪐)⩨(≦∁≮⫘↔1101000011011)↙≮⫘↔110010001110∼≮⫘↔11110000110)≎⊠⪸(≮⫘↔1100110010110⪢≮⫘↔101110101010↙(↣≠⋷≮⫘↔1111101011000)⪒(≮⫘↔1011011100000⋷≮⫘↔10011011100+≮⫘↔111110001000↙≮⫘↔101100101100))=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=(((≮⫘↔10101001110%≮⫘↔11011101001)⪐)⩨(≦∁≮⫘↔1101000011011)↙≮⫘↔110010001110∼≮⫘↔11110000110)≎⊠⪸(≮⫘↔1100110010110⪢≮⫘↔101110101010↙(↣≠⋷≮⫘↔1111101011000)⪒(≮⫘↔1011011100000⋷≮⫘↔10011011100+≮⫘↔111110001000↙≮⫘↔101100101100))","cot":[{"info":"≮⫘↔10101001110%≮⫘↔11011101001=≮⫘↔10101001110","layer":3},{"info":"≮⫘↔10101001110⪐=≮⫘↔101010011100","layer":2},{"info":"≦∁≮⫘↔1101000011011=≮⫘↔1101000011011","layer":3},{"info":"≮⫘↔110010001110∼≮⫘↔11110000110=NaN","layer":3},{"info":"≮⫘↔1101000011011↙NaN=NaN","layer":2},{"info":"≮⫘↔101010011100⩨NaN=NaN","layer":1},{"info":"≮⫘↔1100110010110⪢≮⫘↔101110101010=NaN","layer":3},{"info":"↣≠⋷≮⫘↔1111101011000=NaN","layer":3},{"info":"NaN↙NaN=NaN","layer":2},{"info":"≮⫘↔1011011100000⋷≮⫘↔10011011100=≮⫘↔-110100101000","layer":3},{"info":"≮⫘↔111110001000↙≮⫘↔101100101100=≮⫘↔-10000110000100","layer":3},{"info":"≮⫘↔-110100101000+≮⫘↔-10000110000100=≮⫘↔-10111010101100","layer":2},{"info":"NaN⪒≮⫘↔-10111010101100=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=≮⫘↔1000011","layer":0}]}
{"id":555,"expression_no_base_symbol":"(↔($7790$⇷$2466$))⫥∨⫟$3486$⨟⋌⩍$3891$⋝⋈⪟($2064$≦≮≮)⨽((⪝⪂⫅$1912$)≎⊠⪸$1092$∼$2396$)⊴(($1910$≭$3320$)⨰($5630$⩚⊴⇥$1062$))","expression":"(↔(≮⫘↔1111001101110⇷≮⫘↔100110100010))⫥∨⫟≮⫘↔110110011110⨟⋌⩍≮⫘↔111100110011⋝⋈⪟(≮⫘↔100000010000≦≮≮)⨽((⪝⪂⫅≮⫘↔11101111000)≎⊠⪸≮⫘↔10001000100∼≮⫘↔100101011100)⊴((≮⫘↔11101110110≭≮⫘↔110011111000)⨰(≮⫘↔1010111111110⩚⊴⇥≮⫘↔10000100110))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":109445,"operation_count":14,"complexity_ratio":7817.5,"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":7790,"base":2},"right_expr":{"type":"numeric_atoms","value":2466,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3486,"base":2},"right_expr":{"type":"numeric_atoms","value":3891,"base":2}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2064,"base":2}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1912,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1092,"base":2},"right_expr":{"type":"numeric_atoms","value":2396,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1910,"base":2},"right_expr":{"type":"numeric_atoms","value":3320,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5630,"base":2},"right_expr":{"type":"numeric_atoms","value":1062,"base":2}}}}},"used_operators":["8HhzD0ZcuI","KYD54nUTWz","ruOEQAzv1W","mp7IySMOzn","2DDjHMKMc0","rGHVDoGpnC","D4vGDi5EA2","Nsiff2A1zJ","bJkvcejdHO","XTarYq4gQB","DyGG3AbaNP","eewbuw0ToL","rxpJgHHUmx","NTOWxs364D"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7790","layer":4},{"info":"number node, value=2466","layer":4},{"info":"compute binary expreesion, left_input=7790, right_input=2466, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4932","layer":3},{"info":"compute unary expreesion, input=4932, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4659","layer":2},{"info":"number node, value=3486","layer":4},{"info":"number node, value=3891","layer":4},{"info":"compute binary expreesion, left_input=3486, right_input=3891, 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=2064","layer":4},{"info":"compute unary expreesion, input=2064, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6192","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6192, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4659, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1912","layer":4},{"info":"compute unary expreesion, input=1912, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-281064","layer":3},{"info":"number node, value=1092","layer":4},{"info":"number node, value=2396","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=2396, 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=-281064, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=1910","layer":4},{"info":"number node, value=3320","layer":4},{"info":"compute binary expreesion, left_input=1910, right_input=3320, 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=5630","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=5630, right_input=1062, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6813","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6813, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↔(≮⫘↔1111001101110⇷≮⫘↔100110100010))⫥∨⫟≮⫘↔110110011110⨟⋌⩍≮⫘↔111100110011⋝⋈⪟(≮⫘↔100000010000≦≮≮)⨽((⪝⪂⫅≮⫘↔11101111000)≎⊠⪸≮⫘↔10001000100∼≮⫘↔100101011100)⊴((≮⫘↔11101110110≭≮⫘↔110011111000)⨰(≮⫘↔1010111111110⩚⊴⇥≮⫘↔10000100110))=NaN","reverse_text":"NaN=(↔(≮⫘↔1111001101110⇷≮⫘↔100110100010))⫥∨⫟≮⫘↔110110011110⨟⋌⩍≮⫘↔111100110011⋝⋈⪟(≮⫘↔100000010000≦≮≮)⨽((⪝⪂⫅≮⫘↔11101111000)≎⊠⪸≮⫘↔10001000100∼≮⫘↔100101011100)⊴((≮⫘↔11101110110≭≮⫘↔110011111000)⨰(≮⫘↔1010111111110⩚⊴⇥≮⫘↔10000100110))","cot":[{"info":"≮⫘↔1111001101110⇷≮⫘↔100110100010=≮⫘↔1001101000100","layer":3},{"info":"↔≮⫘↔1001101000100=≮⫘↔-1001000110011","layer":2},{"info":"≮⫘↔110110011110⨟⋌⩍≮⫘↔111100110011=NaN","layer":3},{"info":"≮⫘↔100000010000≦≮≮=≮⫘↔-1100000110000","layer":3},{"info":"NaN⋝⋈⪟≮⫘↔-1100000110000=NaN","layer":2},{"info":"≮⫘↔-1001000110011⫥∨⫟NaN=NaN","layer":1},{"info":"⪝⪂⫅≮⫘↔11101111000=≮⫘↔-1000100100111101000","layer":3},{"info":"≮⫘↔10001000100∼≮⫘↔100101011100=NaN","layer":3},{"info":"≮⫘↔-1000100100111101000≎⊠⪸NaN=≮⫘↔1000011","layer":2},{"info":"≮⫘↔11101110110≭≮⫘↔110011111000=NaN","layer":3},{"info":"≮⫘↔1010111111110⩚⊴⇥≮⫘↔10000100110=≮⫘↔-1101010011101","layer":3},{"info":"NaN⨰≮⫘↔-1101010011101=NaN","layer":2},{"info":"≮⫘↔1000011⊴NaN=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":556,"expression_no_base_symbol":"(≦∁(($2436$*$6280$)≦≮≮))⊪","expression":"(≦∁((≮⫘↔100110000100*≮⫘↔1100010001000)≦≮≮))⊪","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":154970,"operation_count":4,"complexity_ratio":38742.5,"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":2436,"base":2},"right_expr":{"type":"numeric_atoms","value":6280,"base":2}}}}},"used_operators":["zVYPLywUTj","9ICcGScMcE","D4vGDi5EA2","9HNa5Wba9A"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2436","layer":4},{"info":"number node, value=6280","layer":4},{"info":"compute binary expreesion, left_input=2436, right_input=6280, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=15298080","layer":3},{"info":"compute unary expreesion, input=15298080, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-45894240","layer":2},{"info":"compute unary expreesion, input=-45894240, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, 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":0}],"base":2,"result_base":2,"text":"(≦∁((≮⫘↔100110000100*≮⫘↔1100010001000)≦≮≮))⊪=≮⫘↔0","reverse_text":"≮⫘↔0=(≦∁((≮⫘↔100110000100*≮⫘↔1100010001000)≦≮≮))⊪","cot":[{"info":"≮⫘↔100110000100*≮⫘↔1100010001000=≮⫘↔111010010110111000100000","layer":3},{"info":"≮⫘↔111010010110111000100000≦≮≮=≮⫘↔-10101111000100101001100000","layer":2},{"info":"≦∁≮⫘↔-10101111000100101001100000=≮⫘↔1000011","layer":1},{"info":"≮⫘↔1000011⊪=≮⫘↔0","layer":0}]}
{"id":557,"expression_no_base_symbol":"(($1399$⊭∹↮)⋥≓≎$6226$⇷$4195$)⩷∴(($3661$⫡⨏$1414$)⋓($3667$⪄$1892$))⋫","expression":"((≮⫘↔10101110111⊭∹↮)⋥≓≎≮⫘↔1100001010010⇷≮⫘↔1000001100011)⩷∴((≮⫘↔111001001101⫡⨏≮⫘↔10110000110)⋓(≮⫘↔111001010011⪄≮⫘↔11101100100))⋫","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":115299,"operation_count":8,"complexity_ratio":14412.375,"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":1399,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6226,"base":2},"right_expr":{"type":"numeric_atoms","value":4195,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3661,"base":2},"right_expr":{"type":"numeric_atoms","value":1414,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3667,"base":2},"right_expr":{"type":"numeric_atoms","value":1892,"base":2}}}}},"used_operators":["JL8yIekQnl","9FxExcQeMw","Qy55tPpLXF","xNBdhnnwKq","mp7IySMOzn","T2fj7uvVaJ","QMFrweE19q","SUmda5xLS4"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"≮⫘↔110110101011110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1399","layer":4},{"info":"compute unary expreesion, input=1399, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2798","layer":3},{"info":"number node, value=6226","layer":4},{"info":"number node, value=4195","layer":4},{"info":"compute binary expreesion, left_input=6226, right_input=4195, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8390","layer":3},{"info":"compute binary expreesion, left_input=2798, right_input=8390, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=14015","layer":2},{"info":"number node, value=3661","layer":4},{"info":"number node, value=1414","layer":4},{"info":"compute binary expreesion, left_input=3661, right_input=1414, 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=21916","layer":3},{"info":"number node, value=3667","layer":4},{"info":"number node, value=1892","layer":4},{"info":"compute binary expreesion, left_input=3667, right_input=1892, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-546373","layer":3},{"info":"compute binary expreesion, left_input=21916, right_input=-546373, 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=14015, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=27998","layer":1},{"info":"compute unary expreesion, input=27998, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=27998","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10101110111⊭∹↮)⋥≓≎≮⫘↔1100001010010⇷≮⫘↔1000001100011)⩷∴((≮⫘↔111001001101⫡⨏≮⫘↔10110000110)⋓(≮⫘↔111001010011⪄≮⫘↔11101100100))⋫=≮⫘↔110110101011110","reverse_text":"≮⫘↔110110101011110=((≮⫘↔10101110111⊭∹↮)⋥≓≎≮⫘↔1100001010010⇷≮⫘↔1000001100011)⩷∴((≮⫘↔111001001101⫡⨏≮⫘↔10110000110)⋓(≮⫘↔111001010011⪄≮⫘↔11101100100))⋫","cot":[{"info":"≮⫘↔10101110111⊭∹↮=≮⫘↔101011101110","layer":3},{"info":"≮⫘↔1100001010010⇷≮⫘↔1000001100011=≮⫘↔10000011000110","layer":3},{"info":"≮⫘↔101011101110⋥≓≎≮⫘↔10000011000110=≮⫘↔11011010111111","layer":2},{"info":"≮⫘↔111001001101⫡⨏≮⫘↔10110000110=≮⫘↔101010110011100","layer":3},{"info":"≮⫘↔111001010011⪄≮⫘↔11101100100=≮⫘↔-10000101011001000101","layer":3},{"info":"≮⫘↔101010110011100⋓≮⫘↔-10000101011001000101=≮⫘↔0","layer":2},{"info":"≮⫘↔11011010111111⩷∴≮⫘↔0=≮⫘↔110110101011110","layer":1},{"info":"≮⫘↔110110101011110⋫=≮⫘↔110110101011110","layer":0}]}
{"id":558,"expression_no_base_symbol":"($4081$≎⊠⪸$1048$⨐⩸⫘($3047$⪨≂$1523$)↙((⪲⇎$2910$)↪⪝))≎⊠⪸($1154$⇷$2985$⫡⨏($1072$/$1259$))∑⇟⊟(∂($3951$%$1739$))","expression":"(≮⫘↔111111110001≎⊠⪸≮⫘↔10000011000⨐⩸⫘(≮⫘↔101111100111⪨≂≮⫘↔10111110011)↙((⪲⇎≮⫘↔101101011110)↪⪝))≎⊠⪸(≮⫘↔10010000010⇷≮⫘↔101110101001⫡⨏(≮⫘↔10000110000/≮⫘↔10011101011))∑⇟⊟(∂(≮⫘↔111101101111%≮⫘↔11011001011))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17164,"operation_count":13,"complexity_ratio":1320.3076923076924,"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":4081,"base":2},"right_expr":{"type":"numeric_atoms","value":1048,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3047,"base":2},"right_expr":{"type":"numeric_atoms","value":1523,"base":2}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2910,"base":2}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1154,"base":2},"right_expr":{"type":"numeric_atoms","value":2985,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1072,"base":2},"right_expr":{"type":"numeric_atoms","value":1259,"base":2}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3951,"base":2},"right_expr":{"type":"numeric_atoms","value":1739,"base":2}}}}},"used_operators":["bJkvcejdHO","yyfyN0ffXY","fu6greOZ01","sdazOOVcIp","l07mrZUIn9","XPYlsWDdGa","U7g4x0WXJJ","QMFrweE19q","mp7IySMOzn","XhwjNDsVaA","Uaa54Peajs","k8jYdgA6NY"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4081","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=4081, right_input=1048, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1056506","layer":3},{"info":"number node, value=3047","layer":4},{"info":"number node, value=1523","layer":4},{"info":"compute binary expreesion, left_input=3047, right_input=1523, 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=3150","layer":3},{"info":"compute binary expreesion, left_input=1056506, right_input=3150, 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=2910","layer":4},{"info":"compute unary expreesion, input=2910, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5820","layer":3},{"info":"compute unary expreesion, input=5820, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=356079240","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=356079240, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=1154","layer":4},{"info":"number node, value=2985","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=2985, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5970","layer":3},{"info":"number node, value=1072","layer":4},{"info":"number node, value=1259","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=1259, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=5970, 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=30633","layer":2},{"info":"number node, value=3951","layer":4},{"info":"number node, value=1739","layer":4},{"info":"compute binary expreesion, left_input=3951, right_input=1739, op_id = k8jYdgA6NY binary_op_definition= 'None', output=473","layer":3},{"info":"compute unary expreesion, input=473, 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=30633, 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=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":0}],"base":2,"result_base":2,"text":"(≮⫘↔111111110001≎⊠⪸≮⫘↔10000011000⨐⩸⫘(≮⫘↔101111100111⪨≂≮⫘↔10111110011)↙((⪲⇎≮⫘↔101101011110)↪⪝))≎⊠⪸(≮⫘↔10010000010⇷≮⫘↔101110101001⫡⨏(≮⫘↔10000110000/≮⫘↔10011101011))∑⇟⊟(∂(≮⫘↔111101101111%≮⫘↔11011001011))=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=(≮⫘↔111111110001≎⊠⪸≮⫘↔10000011000⨐⩸⫘(≮⫘↔101111100111⪨≂≮⫘↔10111110011)↙((⪲⇎≮⫘↔101101011110)↪⪝))≎⊠⪸(≮⫘↔10010000010⇷≮⫘↔101110101001⫡⨏(≮⫘↔10000110000/≮⫘↔10011101011))∑⇟⊟(∂(≮⫘↔111101101111%≮⫘↔11011001011))","cot":[{"info":"≮⫘↔111111110001≎⊠⪸≮⫘↔10000011000=≮⫘↔100000001111011111010","layer":3},{"info":"≮⫘↔101111100111⪨≂≮⫘↔10111110011=≮⫘↔110001001110","layer":3},{"info":"≮⫘↔100000001111011111010⨐⩸⫘≮⫘↔110001001110=NaN","layer":2},{"info":"⪲⇎≮⫘↔101101011110=≮⫘↔1011010111100","layer":3},{"info":"≮⫘↔1011010111100↪⪝=≮⫘↔10101001110010101011010001000","layer":2},{"info":"NaN↙≮⫘↔10101001110010101011010001000=NaN","layer":1},{"info":"≮⫘↔10010000010⇷≮⫘↔101110101001=≮⫘↔1011101010010","layer":3},{"info":"≮⫘↔10000110000/≮⫘↔10011101011=≮⫘↔0","layer":3},{"info":"≮⫘↔1011101010010⫡⨏≮⫘↔0=≮⫘↔111011110101001","layer":2},{"info":"≮⫘↔111101101111%≮⫘↔11011001011=≮⫘↔111011001","layer":3},{"info":"∂≮⫘↔111011001=NaN","layer":2},{"info":"≮⫘↔111011110101001∑⇟⊟NaN=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=≮⫘↔1000011","layer":0}]}
{"id":559,"expression_no_base_symbol":"(($5260$-$4331$)⪄($3935$*$1356$))⋝⋈⪟(($1147$⊉≛↸$5836$)⋥≓≎$3686$+⇶⊼$1624$)⪨≂(($7473$⪒$2243$)⨓$2156$⪛$3460$⋷(⫛⫱⨽($1113$⩚⊴⇥$4333$)))","expression":"((≮⫘↔1010010001100-≮⫘↔1000011101011)⪄(≮⫘↔111101011111*≮⫘↔10101001100))⋝⋈⪟((≮⫘↔10001111011⊉≛↸≮⫘↔1011011001100)⋥≓≎≮⫘↔111001100110+⇶⊼≮⫘↔11001011000)⪨≂((≮⫘↔1110100110001⪒≮⫘↔100011000011)⨓≮⫘↔100001101100⪛≮⫘↔110110000100⋷(⫛⫱⨽(≮⫘↔10001011001⩚⊴⇥≮⫘↔1000011101101)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5063,"operation_count":14,"complexity_ratio":361.64285714285717,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5260,"base":2},"right_expr":{"type":"numeric_atoms","value":4331,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3935,"base":2},"right_expr":{"type":"numeric_atoms","value":1356,"base":2}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1147,"base":2},"right_expr":{"type":"numeric_atoms","value":5836,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3686,"base":2},"right_expr":{"type":"numeric_atoms","value":1624,"base":2}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7473,"base":2},"right_expr":{"type":"numeric_atoms","value":2243,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2156,"base":2},"right_expr":{"type":"numeric_atoms","value":3460,"base":2}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1113,"base":2},"right_expr":{"type":"numeric_atoms","value":4333,"base":2}}}}},"used_operators":["sdazOOVcIp","2DDjHMKMc0","SUmda5xLS4","rysDP5nf3Z","9HNa5Wba9A","Qy55tPpLXF","DZ8iAZOCBD","TpPTUOHfaN","23Mk6UjR3U","3ViojmjbAp","f6k1SAg4EE","uFcxV4UQCh","DlLNRPXxWL","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5260","layer":4},{"info":"number node, value=4331","layer":4},{"info":"compute binary expreesion, left_input=5260, right_input=4331, op_id = rysDP5nf3Z binary_op_definition= 'None', output=929","layer":3},{"info":"number node, value=3935","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=3935, right_input=1356, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5335860","layer":3},{"info":"compute binary expreesion, left_input=929, right_input=5335860, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-21477021","layer":2},{"info":"number node, value=1147","layer":4},{"info":"number node, value=5836","layer":4},{"info":"compute binary expreesion, left_input=1147, right_input=5836, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2294","layer":3},{"info":"number node, value=3686","layer":4},{"info":"number node, value=1624","layer":4},{"info":"compute binary expreesion, left_input=3686, right_input=1624, 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=2294, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21477021, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=7473","layer":4},{"info":"number node, value=2243","layer":4},{"info":"compute binary expreesion, left_input=7473, right_input=2243, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9716","layer":3},{"info":"number node, value=2156","layer":4},{"info":"number node, value=3460","layer":4},{"info":"compute binary expreesion, left_input=2156, right_input=3460, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2156","layer":3},{"info":"compute binary expreesion, left_input=-9716, right_input=2156, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2159","layer":2},{"info":"number node, value=1113","layer":4},{"info":"number node, value=4333","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=4333, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5567","layer":3},{"info":"compute unary expreesion, input=-5567, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-2159, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4318","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4318, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010010001100-≮⫘↔1000011101011)⪄(≮⫘↔111101011111*≮⫘↔10101001100))⋝⋈⪟((≮⫘↔10001111011⊉≛↸≮⫘↔1011011001100)⋥≓≎≮⫘↔111001100110+⇶⊼≮⫘↔11001011000)⪨≂((≮⫘↔1110100110001⪒≮⫘↔100011000011)⨓≮⫘↔100001101100⪛≮⫘↔110110000100⋷(⫛⫱⨽(≮⫘↔10001011001⩚⊴⇥≮⫘↔1000011101101)))=NaN","reverse_text":"NaN=((≮⫘↔1010010001100-≮⫘↔1000011101011)⪄(≮⫘↔111101011111*≮⫘↔10101001100))⋝⋈⪟((≮⫘↔10001111011⊉≛↸≮⫘↔1011011001100)⋥≓≎≮⫘↔111001100110+⇶⊼≮⫘↔11001011000)⪨≂((≮⫘↔1110100110001⪒≮⫘↔100011000011)⨓≮⫘↔100001101100⪛≮⫘↔110110000100⋷(⫛⫱⨽(≮⫘↔10001011001⩚⊴⇥≮⫘↔1000011101101)))","cot":[{"info":"≮⫘↔1010010001100-≮⫘↔1000011101011=≮⫘↔1110100001","layer":3},{"info":"≮⫘↔111101011111*≮⫘↔10101001100=≮⫘↔10100010110101100110100","layer":3},{"info":"≮⫘↔1110100001⪄≮⫘↔10100010110101100110100=≮⫘↔-1010001111011011010011101","layer":2},{"info":"≮⫘↔10001111011⊉≛↸≮⫘↔1011011001100=≮⫘↔100011110110","layer":3},{"info":"≮⫘↔111001100110+⇶⊼≮⫘↔11001011000=NaN","layer":3},{"info":"≮⫘↔100011110110⋥≓≎NaN=NaN","layer":2},{"info":"≮⫘↔-1010001111011011010011101⋝⋈⪟NaN=NaN","layer":1},{"info":"≮⫘↔1110100110001⪒≮⫘↔100011000011=≮⫘↔-10010111110100","layer":3},{"info":"≮⫘↔100001101100⪛≮⫘↔110110000100=≮⫘↔100001101100","layer":3},{"info":"≮⫘↔-10010111110100⨓≮⫘↔100001101100=≮⫘↔-100001101111","layer":2},{"info":"≮⫘↔10001011001⩚⊴⇥≮⫘↔1000011101101=≮⫘↔-1010110111111","layer":3},{"info":"⫛⫱⨽≮⫘↔-1010110111111=≮⫘↔0","layer":2},{"info":"≮⫘↔-100001101111⋷≮⫘↔0=≮⫘↔1000011011110","layer":1},{"info":"NaN⪨≂≮⫘↔1000011011110=NaN","layer":0}]}
{"id":560,"expression_no_base_symbol":"($3699$⫡⨏$5831$⪨≂$2863$↺$5869$)⩷∴($3070$-$1149$⪨≂$2876$↺$1019$)⪄(⨵≀≌($2409$↛⩡⫤))≹⇙⪍(($4673$⨽$1162$)⨰$6231$⪛$2169$)","expression":"(≮⫘↔111001110011⫡⨏≮⫘↔1011011000111⪨≂≮⫘↔101100101111↺≮⫘↔1011011101101)⩷∴(≮⫘↔101111111110-≮⫘↔10001111101⪨≂≮⫘↔101100111100↺≮⫘↔1111111011)⪄(⨵≀≌(≮⫘↔100101101001↛⩡⫤))≹⇙⪍((≮⫘↔1001001000001⨽≮⫘↔10010001010)⨰≮⫘↔1100001010111⪛≮⫘↔100001111001)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":372030,"operation_count":14,"complexity_ratio":26573.571428571428,"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":3699,"base":2},"right_expr":{"type":"numeric_atoms","value":5831,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2863,"base":2},"right_expr":{"type":"numeric_atoms","value":5869,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3070,"base":2},"right_expr":{"type":"numeric_atoms","value":1149,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2876,"base":2},"right_expr":{"type":"numeric_atoms","value":1019,"base":2}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2409,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4673,"base":2},"right_expr":{"type":"numeric_atoms","value":1162,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6231,"base":2},"right_expr":{"type":"numeric_atoms","value":2169,"base":2}}}}},"used_operators":["SUmda5xLS4","9FxExcQeMw","sdazOOVcIp","QMFrweE19q","7j4O788W3g","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","FU0Cs4j7VP","eewbuw0ToL","8HhzD0ZcuI","uFcxV4UQCh"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3699","layer":4},{"info":"number node, value=5831","layer":4},{"info":"compute binary expreesion, left_input=3699, right_input=5831, 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=30940","layer":3},{"info":"number node, value=2863","layer":4},{"info":"number node, value=5869","layer":4},{"info":"compute binary expreesion, left_input=2863, right_input=5869, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5869","layer":3},{"info":"compute binary expreesion, left_input=30940, right_input=5869, 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=50244","layer":2},{"info":"number node, value=3070","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=3070, right_input=1149, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1921","layer":3},{"info":"number node, value=2876","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=2876, right_input=1019, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1019","layer":3},{"info":"compute binary expreesion, left_input=1921, right_input=1019, 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=1906","layer":2},{"info":"compute binary expreesion, left_input=50244, right_input=1906, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=96644","layer":1},{"info":"number node, value=2409","layer":4},{"info":"compute unary expreesion, input=2409, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-359848","layer":3},{"info":"compute unary expreesion, input=-359848, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=inf","layer":2},{"info":"number node, value=4673","layer":4},{"info":"number node, value=1162","layer":4},{"info":"compute binary expreesion, left_input=4673, right_input=1162, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-65512959","layer":3},{"info":"number node, value=6231","layer":4},{"info":"number node, value=2169","layer":4},{"info":"compute binary expreesion, left_input=6231, right_input=2169, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1893","layer":3},{"info":"compute binary expreesion, left_input=-65512959, right_input=1893, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-65514842","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=-65514842, 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=96644, 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":2,"result_base":2,"text":"(≮⫘↔111001110011⫡⨏≮⫘↔1011011000111⪨≂≮⫘↔101100101111↺≮⫘↔1011011101101)⩷∴(≮⫘↔101111111110-≮⫘↔10001111101⪨≂≮⫘↔101100111100↺≮⫘↔1111111011)⪄(⨵≀≌(≮⫘↔100101101001↛⩡⫤))≹⇙⪍((≮⫘↔1001001000001⨽≮⫘↔10010001010)⨰≮⫘↔1100001010111⪛≮⫘↔100001111001)=NaN","reverse_text":"NaN=(≮⫘↔111001110011⫡⨏≮⫘↔1011011000111⪨≂≮⫘↔101100101111↺≮⫘↔1011011101101)⩷∴(≮⫘↔101111111110-≮⫘↔10001111101⪨≂≮⫘↔101100111100↺≮⫘↔1111111011)⪄(⨵≀≌(≮⫘↔100101101001↛⩡⫤))≹⇙⪍((≮⫘↔1001001000001⨽≮⫘↔10010001010)⨰≮⫘↔1100001010111⪛≮⫘↔100001111001)","cot":[{"info":"≮⫘↔111001110011⫡⨏≮⫘↔1011011000111=≮⫘↔111100011011100","layer":3},{"info":"≮⫘↔101100101111↺≮⫘↔1011011101101=≮⫘↔1011011101101","layer":3},{"info":"≮⫘↔111100011011100⪨≂≮⫘↔1011011101101=≮⫘↔1100010001000100","layer":2},{"info":"≮⫘↔101111111110-≮⫘↔10001111101=≮⫘↔11110000001","layer":3},{"info":"≮⫘↔101100111100↺≮⫘↔1111111011=≮⫘↔1111111011","layer":3},{"info":"≮⫘↔11110000001⪨≂≮⫘↔1111111011=≮⫘↔11101110010","layer":2},{"info":"≮⫘↔1100010001000100⩷∴≮⫘↔11101110010=≮⫘↔10111100110000100","layer":1},{"info":"≮⫘↔100101101001↛⩡⫤=≮⫘↔-1010111110110101000","layer":3},{"info":"⨵≀≌≮⫘↔-1010111110110101000=Inf","layer":2},{"info":"≮⫘↔1001001000001⨽≮⫘↔10010001010=≮⫘↔-11111001111010010111111111","layer":3},{"info":"≮⫘↔1100001010111⪛≮⫘↔100001111001=≮⫘↔11101100101","layer":3},{"info":"≮⫘↔-11111001111010010111111111⨰≮⫘↔11101100101=≮⫘↔-11111001111010110101011010","layer":2},{"info":"Inf≹⇙⪍≮⫘↔-11111001111010110101011010=NaN","layer":1},{"info":"≮⫘↔10111100110000100⪄NaN=NaN","layer":0}]}
{"id":561,"expression_no_base_symbol":"(≦∁$1016$⊉≛↸$1488$⊭↱($2719$⇋≉))∑⇟⊟(($1805$-$4762$)⨪↰⇹$1471$∀⇚≩$1205$)⊴(↥(⇁⨣⪵$1492$))","expression":"(≦∁≮⫘↔1111111000⊉≛↸≮⫘↔10111010000⊭↱(≮⫘↔101010011111⇋≉))∑⇟⊟((≮⫘↔11100001101-≮⫘↔1001010011010)⨪↰⇹≮⫘↔10110111111∀⇚≩≮⫘↔10010110101)⊴(↥(⇁⨣⪵≮⫘↔10111010100))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":13277,"operation_count":11,"complexity_ratio":1207.0,"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":1016,"base":2},"right_expr":{"type":"numeric_atoms","value":1488,"base":2}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2719,"base":2}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1805,"base":2},"right_expr":{"type":"numeric_atoms","value":4762,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1471,"base":2},"right_expr":{"type":"numeric_atoms","value":1205,"base":2}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1492,"base":2}}}}},"used_operators":["U7g4x0WXJJ","9ICcGScMcE","COABgblf1C","DZ8iAZOCBD","XIabStNQrY","Nsiff2A1zJ","tmPS8pqC7x","rysDP5nf3Z","LRNGc0VcxI","A8NUZmVepG","inkyxCbjAn"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rJVOvQCfKK","X99M06cbEe","k8jYdgA6NY","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1016","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=1488, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2032","layer":3},{"info":"number node, value=2719","layer":4},{"info":"compute unary expreesion, input=2719, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5340","layer":3},{"info":"compute binary expreesion, left_input=2032, right_input=5340, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6621","layer":2},{"info":"compute unary expreesion, input=6621, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=6621","layer":1},{"info":"number node, value=1805","layer":4},{"info":"number node, value=4762","layer":4},{"info":"compute binary expreesion, left_input=1805, right_input=4762, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2957","layer":3},{"info":"number node, value=1471","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=1471, right_input=1205, 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=-2957, 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=2957","layer":2},{"info":"number node, value=1492","layer":4},{"info":"compute unary expreesion, input=1492, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵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":"compute binary expreesion, left_input=2957, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6621, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≦∁≮⫘↔1111111000⊉≛↸≮⫘↔10111010000⊭↱(≮⫘↔101010011111⇋≉))∑⇟⊟((≮⫘↔11100001101-≮⫘↔1001010011010)⨪↰⇹≮⫘↔10110111111∀⇚≩≮⫘↔10010110101)⊴(↥(⇁⨣⪵≮⫘↔10111010100))=NaN","reverse_text":"NaN=(≦∁≮⫘↔1111111000⊉≛↸≮⫘↔10111010000⊭↱(≮⫘↔101010011111⇋≉))∑⇟⊟((≮⫘↔11100001101-≮⫘↔1001010011010)⨪↰⇹≮⫘↔10110111111∀⇚≩≮⫘↔10010110101)⊴(↥(⇁⨣⪵≮⫘↔10111010100))","cot":[{"info":"≮⫘↔1111111000⊉≛↸≮⫘↔10111010000=≮⫘↔11111110000","layer":3},{"info":"≮⫘↔101010011111⇋≉=≮⫘↔1010011011100","layer":3},{"info":"≮⫘↔11111110000⊭↱≮⫘↔1010011011100=≮⫘↔1100111011101","layer":2},{"info":"≦∁≮⫘↔1100111011101=≮⫘↔1100111011101","layer":1},{"info":"≮⫘↔11100001101-≮⫘↔1001010011010=≮⫘↔-101110001101","layer":3},{"info":"≮⫘↔10110111111∀⇚≩≮⫘↔10010110101=NaN","layer":3},{"info":"≮⫘↔-101110001101⨪↰⇹NaN=≮⫘↔101110001101","layer":2},{"info":"⇁⨣⪵≮⫘↔10111010100=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"≮⫘↔101110001101⊴NaN=NaN","layer":1},{"info":"≮⫘↔1100111011101∑⇟⊟NaN=NaN","layer":0}]}
{"id":562,"expression_no_base_symbol":"($8094$↬$2908$⊠≄⫣)⨟⋌⩍($2593$⪘⫢$2647$⨵⪆($2311$⪨≂$2556$))⇼⇔∾(⇁⨣⪵($3776$*$2288$)⨎(⪲⇎$7812$))","expression":"(≮⫘↔1111110011110↬≮⫘↔101101011100⊠≄⫣)⨟⋌⩍(≮⫘↔101000100001⪘⫢≮⫘↔101001010111⨵⪆(≮⫘↔100100000111⪨≂≮⫘↔100111111100))⇼⇔∾(⇁⨣⪵(≮⫘↔111011000000*≮⫘↔100011110000)⨎(⪲⇎≮⫘↔1111010000100))","highest_n_order":5,"priority_hierarchical_complexity":8,"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":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":8094,"base":2},"right_expr":{"type":"numeric_atoms","value":2908,"base":2}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2593,"base":2},"right_expr":{"type":"numeric_atoms","value":2647,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2311,"base":2},"right_expr":{"type":"numeric_atoms","value":2556,"base":2}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3776,"base":2},"right_expr":{"type":"numeric_atoms","value":2288,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":7812,"base":2}}}}},"used_operators":["tifHPKVTfV","rGHVDoGpnC","DIvbN7qnHd","B5M0gjZbta","2DQ55sFlQl","oacrs7FA3X","sdazOOVcIp","inkyxCbjAn","rJVOvQCfKK","9HNa5Wba9A","XPYlsWDdGa"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8094","layer":4},{"info":"number node, value=2908","layer":4},{"info":"compute binary expreesion, left_input=8094, right_input=2908, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":2},{"info":"number node, value=2593","layer":4},{"info":"number node, value=2647","layer":4},{"info":"compute binary expreesion, left_input=2593, right_input=2647, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5062","layer":3},{"info":"number node, value=2311","layer":4},{"info":"number node, value=2556","layer":4},{"info":"compute binary expreesion, left_input=2311, right_input=2556, 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=-388","layer":3},{"info":"compute binary expreesion, left_input=5062, right_input=-388, 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 = 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=3776","layer":4},{"info":"number node, value=2288","layer":4},{"info":"compute binary expreesion, left_input=3776, right_input=2288, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8639488","layer":3},{"info":"number node, value=7812","layer":4},{"info":"compute unary expreesion, input=7812, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=15624","layer":3},{"info":"compute binary expreesion, left_input=8639488, right_input=15624, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=15624","layer":2},{"info":"compute unary expreesion, input=15624, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1111110011110↬≮⫘↔101101011100⊠≄⫣)⨟⋌⩍(≮⫘↔101000100001⪘⫢≮⫘↔101001010111⨵⪆(≮⫘↔100100000111⪨≂≮⫘↔100111111100))⇼⇔∾(⇁⨣⪵(≮⫘↔111011000000*≮⫘↔100011110000)⨎(⪲⇎≮⫘↔1111010000100))=NaN","reverse_text":"NaN=(≮⫘↔1111110011110↬≮⫘↔101101011100⊠≄⫣)⨟⋌⩍(≮⫘↔101000100001⪘⫢≮⫘↔101001010111⨵⪆(≮⫘↔100100000111⪨≂≮⫘↔100111111100))⇼⇔∾(⇁⨣⪵(≮⫘↔111011000000*≮⫘↔100011110000)⨎(⪲⇎≮⫘↔1111010000100))","cot":[{"info":"≮⫘↔1111110011110↬≮⫘↔101101011100=NaN","layer":3},{"info":"NaN⊠≄⫣=NaN","layer":2},{"info":"≮⫘↔101000100001⪘⫢≮⫘↔101001010111=≮⫘↔1001111000110","layer":3},{"info":"≮⫘↔100100000111⪨≂≮⫘↔100111111100=≮⫘↔-110000100","layer":3},{"info":"≮⫘↔1001111000110⨵⪆≮⫘↔-110000100=≮⫘↔10100000","layer":2},{"info":"NaN⨟⋌⩍≮⫘↔10100000=NaN","layer":1},{"info":"≮⫘↔111011000000*≮⫘↔100011110000=≮⫘↔100000111101010000000000","layer":3},{"info":"⪲⇎≮⫘↔1111010000100=≮⫘↔11110100001000","layer":3},{"info":"≮⫘↔100000111101010000000000⨎≮⫘↔11110100001000=≮⫘↔11110100001000","layer":2},{"info":"⇁⨣⪵≮⫘↔11110100001000=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":563,"expression_no_base_symbol":"((↥$1620$)⋳⪒$4791$⪘⫢$3137$%(⫓⪴$2399$)⪒$9289$↙$1579$)⊠≄⫣","expression":"((↥≮⫘↔11001010100)⋳⪒≮⫘↔1001010110111⪘⫢≮⫘↔110001000001%(⫓⪴≮⫘↔100101011111)⪒≮⫘↔10010001001001↙≮⫘↔11000101011)⊠≄⫣","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4041,"operation_count":8,"complexity_ratio":505.125,"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":1620,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4791,"base":2},"right_expr":{"type":"numeric_atoms","value":3137,"base":2}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2399,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":9289,"base":2},"right_expr":{"type":"numeric_atoms","value":1579,"base":2}}}}},"used_operators":["DIvbN7qnHd","k8jYdgA6NY","12rbrZMWeM","A8NUZmVepG","oacrs7FA3X","f6k1SAg4EE","eLxqMNBOBk","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1620","layer":4},{"info":"compute unary expreesion, input=1620, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=39","layer":3},{"info":"number node, value=4791","layer":4},{"info":"number node, value=3137","layer":4},{"info":"compute binary expreesion, left_input=4791, right_input=3137, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9458","layer":3},{"info":"compute binary expreesion, left_input=39, right_input=9458, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-9667","layer":2},{"info":"number node, value=2399","layer":4},{"info":"compute unary expreesion, input=2399, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=5755201","layer":3},{"info":"number node, value=9289","layer":4},{"info":"number node, value=1579","layer":4},{"info":"compute binary expreesion, left_input=9289, right_input=1579, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4737","layer":3},{"info":"compute binary expreesion, left_input=5755201, right_input=-4737, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5750464","layer":2},{"info":"compute binary expreesion, left_input=-9667, right_input=-5750464, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-9667","layer":1},{"info":"compute unary expreesion, input=-9667, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":2,"result_base":2,"text":"((↥≮⫘↔11001010100)⋳⪒≮⫘↔1001010110111⪘⫢≮⫘↔110001000001%(⫓⪴≮⫘↔100101011111)⪒≮⫘↔10010001001001↙≮⫘↔11000101011)⊠≄⫣=≮⫘↔0","reverse_text":"≮⫘↔0=((↥≮⫘↔11001010100)⋳⪒≮⫘↔1001010110111⪘⫢≮⫘↔110001000001%(⫓⪴≮⫘↔100101011111)⪒≮⫘↔10010001001001↙≮⫘↔11000101011)⊠≄⫣","cot":[{"info":"↥≮⫘↔11001010100=≮⫘↔100111","layer":3},{"info":"≮⫘↔1001010110111⪘⫢≮⫘↔110001000001=≮⫘↔10010011110010","layer":3},{"info":"≮⫘↔100111⋳⪒≮⫘↔10010011110010=≮⫘↔-10010111000011","layer":2},{"info":"⫓⪴≮⫘↔100101011111=≮⫘↔10101111101000101000001","layer":3},{"info":"≮⫘↔10010001001001↙≮⫘↔11000101011=≮⫘↔-1001010000001","layer":3},{"info":"≮⫘↔10101111101000101000001⪒≮⫘↔-1001010000001=≮⫘↔-10101111011111011000000","layer":2},{"info":"≮⫘↔-10010111000011%≮⫘↔-10101111011111011000000=≮⫘↔-10010111000011","layer":1},{"info":"≮⫘↔-10010111000011⊠≄⫣=≮⫘↔0","layer":0}]}
{"id":564,"expression_no_base_symbol":"($5390$∀⇚≩$1009$⊭↱$1198$⊴$3108$)⊴($3510$∀⇚≩$1771$≎⊠⪸($1659$∲⫓$4414$))⋝⋈⪟(($2586$⩨$1051$)⊴($4331$↙$1219$))⊴($2260$∀⇚≩$1562$/($2423$⫩⊇))","expression":"(≮⫘↔1010100001110∀⇚≩≮⫘↔1111110001⊭↱≮⫘↔10010101110⊴≮⫘↔110000100100)⊴(≮⫘↔110110110110∀⇚≩≮⫘↔11011101011≎⊠⪸(≮⫘↔11001111011∲⫓≮⫘↔1000100111110))⋝⋈⪟((≮⫘↔101000011010⩨≮⫘↔10000011011)⊴(≮⫘↔1000011101011↙≮⫘↔10011000011))⊴(≮⫘↔100011010100∀⇚≩≮⫘↔11000011010/(≮⫘↔100101110111⫩⊇))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":86163,"operation_count":15,"complexity_ratio":5744.2,"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":5390,"base":2},"right_expr":{"type":"numeric_atoms","value":1009,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1198,"base":2},"right_expr":{"type":"numeric_atoms","value":3108,"base":2}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3510,"base":2},"right_expr":{"type":"numeric_atoms","value":1771,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1659,"base":2},"right_expr":{"type":"numeric_atoms","value":4414,"base":2}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2586,"base":2},"right_expr":{"type":"numeric_atoms","value":1051,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4331,"base":2},"right_expr":{"type":"numeric_atoms","value":1219,"base":2}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2260,"base":2},"right_expr":{"type":"numeric_atoms","value":1562,"base":2}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2423,"base":2}}}}},"used_operators":["2DDjHMKMc0","Nsiff2A1zJ","COABgblf1C","LRNGc0VcxI","bJkvcejdHO","i8ToyICDmI","2DlMacCsIx","yyfyN0ffXY","XhwjNDsVaA","BjRHVeLaeN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5390","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=5390, right_input=1009, 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=1198","layer":4},{"info":"number node, value=3108","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=3108, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=3510","layer":4},{"info":"number node, value=1771","layer":4},{"info":"compute binary expreesion, left_input=3510, right_input=1771, 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=1659","layer":4},{"info":"number node, value=4414","layer":4},{"info":"compute binary expreesion, left_input=1659, right_input=4414, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2586","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=2586, right_input=1051, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=4331","layer":4},{"info":"number node, value=1219","layer":4},{"info":"compute binary expreesion, left_input=4331, right_input=1219, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3657","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3657, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2260","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=2260, right_input=1562, 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=2423","layer":4},{"info":"compute unary expreesion, input=2423, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2381","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2381, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1010100001110∀⇚≩≮⫘↔1111110001⊭↱≮⫘↔10010101110⊴≮⫘↔110000100100)⊴(≮⫘↔110110110110∀⇚≩≮⫘↔11011101011≎⊠⪸(≮⫘↔11001111011∲⫓≮⫘↔1000100111110))⋝⋈⪟((≮⫘↔101000011010⩨≮⫘↔10000011011)⊴(≮⫘↔1000011101011↙≮⫘↔10011000011))⊴(≮⫘↔100011010100∀⇚≩≮⫘↔11000011010/(≮⫘↔100101110111⫩⊇))=NaN","reverse_text":"NaN=(≮⫘↔1010100001110∀⇚≩≮⫘↔1111110001⊭↱≮⫘↔10010101110⊴≮⫘↔110000100100)⊴(≮⫘↔110110110110∀⇚≩≮⫘↔11011101011≎⊠⪸(≮⫘↔11001111011∲⫓≮⫘↔1000100111110))⋝⋈⪟((≮⫘↔101000011010⩨≮⫘↔10000011011)⊴(≮⫘↔1000011101011↙≮⫘↔10011000011))⊴(≮⫘↔100011010100∀⇚≩≮⫘↔11000011010/(≮⫘↔100101110111⫩⊇))","cot":[{"info":"≮⫘↔1010100001110∀⇚≩≮⫘↔1111110001=NaN","layer":3},{"info":"≮⫘↔10010101110⊴≮⫘↔110000100100=NaN","layer":3},{"info":"NaN⊭↱NaN=NaN","layer":2},{"info":"≮⫘↔110110110110∀⇚≩≮⫘↔11011101011=NaN","layer":3},{"info":"≮⫘↔11001111011∲⫓≮⫘↔1000100111110=≮⫘↔0","layer":3},{"info":"NaN≎⊠⪸≮⫘↔0=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"≮⫘↔101000011010⩨≮⫘↔10000011011=≮⫘↔0","layer":3},{"info":"≮⫘↔1000011101011↙≮⫘↔10011000011=≮⫘↔-111001001001","layer":3},{"info":"≮⫘↔0⊴≮⫘↔-111001001001=NaN","layer":2},{"info":"≮⫘↔100011010100∀⇚≩≮⫘↔11000011010=NaN","layer":3},{"info":"≮⫘↔100101110111⫩⊇=≮⫘↔-100101001101","layer":3},{"info":"NaN/≮⫘↔-100101001101=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":565,"expression_no_base_symbol":"((⨈⫕$2477$↙$2468$)+(≉$5719$≭$8574$))⊴((↣≠⋷($6375$-$1375$))⨽($1413$*$1921$)⨟⋌⩍($3357$≭$2850$))","expression":"((⨈⫕≮⫘↔100110101101↙≮⫘↔100110100100)+(≉≮⫘↔1011001010111≭≮⫘↔10000101111110))⊴((↣≠⋷(≮⫘↔1100011100111-≮⫘↔10101011111))⨽(≮⫘↔10110000101*≮⫘↔11110000001)⨟⋌⩍(≮⫘↔110100011101≭≮⫘↔101100100010))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4296,"operation_count":12,"complexity_ratio":358.0,"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":2477,"base":2},"right_expr":{"type":"numeric_atoms","value":2468,"base":2}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5719,"base":2},"right_expr":{"type":"numeric_atoms","value":8574,"base":2}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6375,"base":2},"right_expr":{"type":"numeric_atoms","value":1375,"base":2}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1413,"base":2},"right_expr":{"type":"numeric_atoms","value":1921,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3357,"base":2},"right_expr":{"type":"numeric_atoms","value":2850,"base":2}}}}},"used_operators":["Nsiff2A1zJ","W4YGzv6Whe","megm06wKyl","yyfyN0ffXY","e1ybzncUwg","rxpJgHHUmx","8HhzD0ZcuI","Asc51vEJeQ","rysDP5nf3Z","rGHVDoGpnC","9HNa5Wba9A"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","AHs5Up7iyr","Tcnh7f0tEr","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2477","layer":4},{"info":"number node, value=2468","layer":4},{"info":"compute binary expreesion, left_input=2477, right_input=2468, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7404","layer":3},{"info":"compute unary expreesion, input=-7404, 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=5719","layer":4},{"info":"number node, value=8574","layer":4},{"info":"compute binary expreesion, left_input=5719, right_input=8574, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , 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=6375","layer":4},{"info":"number node, value=1375","layer":4},{"info":"compute binary expreesion, left_input=6375, right_input=1375, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5000","layer":3},{"info":"compute unary expreesion, input=5000, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1413","layer":4},{"info":"number node, value=1921","layer":4},{"info":"compute binary expreesion, left_input=1413, right_input=1921, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2714373","layer":3},{"info":"number node, value=3357","layer":4},{"info":"number node, value=2850","layer":4},{"info":"compute binary expreesion, left_input=3357, right_input=2850, 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=2714373, 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=nan, 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=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨈⫕≮⫘↔100110101101↙≮⫘↔100110100100)+(≉≮⫘↔1011001010111≭≮⫘↔10000101111110))⊴((↣≠⋷(≮⫘↔1100011100111-≮⫘↔10101011111))⨽(≮⫘↔10110000101*≮⫘↔11110000001)⨟⋌⩍(≮⫘↔110100011101≭≮⫘↔101100100010))=NaN","reverse_text":"NaN=((⨈⫕≮⫘↔100110101101↙≮⫘↔100110100100)+(≉≮⫘↔1011001010111≭≮⫘↔10000101111110))⊴((↣≠⋷(≮⫘↔1100011100111-≮⫘↔10101011111))⨽(≮⫘↔10110000101*≮⫘↔11110000001)⨟⋌⩍(≮⫘↔110100011101≭≮⫘↔101100100010))","cot":[{"info":"≮⫘↔100110101101↙≮⫘↔100110100100=≮⫘↔-1110011101100","layer":3},{"info":"⨈⫕≮⫘↔-1110011101100=≮⫘↔-10101","layer":2},{"info":"≮⫘↔1011001010111≭≮⫘↔10000101111110=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"≮⫘↔-10101+NaN=NaN","layer":1},{"info":"≮⫘↔1100011100111-≮⫘↔10101011111=≮⫘↔1001110001000","layer":3},{"info":"↣≠⋷≮⫘↔1001110001000=NaN","layer":2},{"info":"≮⫘↔10110000101*≮⫘↔11110000001=≮⫘↔1010010110101100000101","layer":3},{"info":"≮⫘↔110100011101≭≮⫘↔101100100010=NaN","layer":3},{"info":"≮⫘↔1010010110101100000101⨟⋌⩍NaN=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":566,"expression_no_base_symbol":"(≦∁($2156$⫩⊇)∼($1879$⪐))⪛(($1727$⪮%⊝$1903$⪒$2615$⋥≓≎$1763$)⋝⋈⪟($3026$⋝⋈⪟$5689$)⨓($6144$⪒$7969$))","expression":"(≦∁(≮⫘↔100001101100⫩⊇)∼(≮⫘↔11101010111⪐))⪛((≮⫘↔11010111111⪮%⊝≮⫘↔11101101111⪒≮⫘↔101000110111⋥≓≎≮⫘↔11011100011)⋝⋈⪟(≮⫘↔101111010010⋝⋈⪟≮⫘↔1011000111001)⨓(≮⫘↔1100000000000⪒≮⫘↔1111100100001))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14196,"operation_count":12,"complexity_ratio":1183.0,"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":2156,"base":2}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1879,"base":2}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1727,"base":2},"right_expr":{"type":"numeric_atoms","value":1903,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2615,"base":2},"right_expr":{"type":"numeric_atoms","value":1763,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3026,"base":2},"right_expr":{"type":"numeric_atoms","value":5689,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6144,"base":2},"right_expr":{"type":"numeric_atoms","value":7969,"base":2}}}}},"used_operators":["uFcxV4UQCh","9ICcGScMcE","DyGG3AbaNP","BjRHVeLaeN","eH2TOUuTDT","2DDjHMKMc0","f6k1SAg4EE","IWmyXbctLI","Qy55tPpLXF","3ViojmjbAp"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2156","layer":4},{"info":"compute unary expreesion, input=2156, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2114","layer":3},{"info":"number node, value=1879","layer":4},{"info":"compute unary expreesion, input=1879, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3758","layer":3},{"info":"compute binary expreesion, left_input=-2114, right_input=3758, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":1},{"info":"number node, value=1727","layer":4},{"info":"number node, value=1903","layer":4},{"info":"compute binary expreesion, left_input=1727, right_input=1903, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3770","layer":3},{"info":"number node, value=2615","layer":4},{"info":"number node, value=1763","layer":4},{"info":"compute binary expreesion, left_input=2615, right_input=1763, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=944","layer":3},{"info":"compute binary expreesion, left_input=3770, right_input=944, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4714","layer":2},{"info":"number node, value=3026","layer":4},{"info":"number node, value=5689","layer":4},{"info":"compute binary expreesion, left_input=3026, right_input=5689, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3026","layer":3},{"info":"number node, value=6144","layer":4},{"info":"number node, value=7969","layer":4},{"info":"compute binary expreesion, left_input=6144, right_input=7969, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-14113","layer":3},{"info":"compute binary expreesion, left_input=3026, right_input=-14113, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-14116","layer":2},{"info":"compute binary expreesion, left_input=-4714, right_input=-14116, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-4714","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4714, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≦∁(≮⫘↔100001101100⫩⊇)∼(≮⫘↔11101010111⪐))⪛((≮⫘↔11010111111⪮%⊝≮⫘↔11101101111⪒≮⫘↔101000110111⋥≓≎≮⫘↔11011100011)⋝⋈⪟(≮⫘↔101111010010⋝⋈⪟≮⫘↔1011000111001)⨓(≮⫘↔1100000000000⪒≮⫘↔1111100100001))=NaN","reverse_text":"NaN=(≦∁(≮⫘↔100001101100⫩⊇)∼(≮⫘↔11101010111⪐))⪛((≮⫘↔11010111111⪮%⊝≮⫘↔11101101111⪒≮⫘↔101000110111⋥≓≎≮⫘↔11011100011)⋝⋈⪟(≮⫘↔101111010010⋝⋈⪟≮⫘↔1011000111001)⨓(≮⫘↔1100000000000⪒≮⫘↔1111100100001))","cot":[{"info":"≮⫘↔100001101100⫩⊇=≮⫘↔-100001000010","layer":3},{"info":"≮⫘↔11101010111⪐=≮⫘↔111010101110","layer":3},{"info":"≮⫘↔-100001000010∼≮⫘↔111010101110=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"≮⫘↔11010111111⪮%⊝≮⫘↔11101101111=≮⫘↔111010111010","layer":3},{"info":"≮⫘↔101000110111⋥≓≎≮⫘↔11011100011=≮⫘↔1110110000","layer":3},{"info":"≮⫘↔111010111010⪒≮⫘↔1110110000=≮⫘↔-1001001101010","layer":2},{"info":"≮⫘↔101111010010⋝⋈⪟≮⫘↔1011000111001=≮⫘↔101111010010","layer":3},{"info":"≮⫘↔1100000000000⪒≮⫘↔1111100100001=≮⫘↔-11011100100001","layer":3},{"info":"≮⫘↔101111010010⨓≮⫘↔-11011100100001=≮⫘↔-11011100100100","layer":2},{"info":"≮⫘↔-1001001101010⋝⋈⪟≮⫘↔-11011100100100=≮⫘↔-1001001101010","layer":1},{"info":"NaN⪛≮⫘↔-1001001101010=NaN","layer":0}]}
{"id":567,"expression_no_base_symbol":"↯⪼((∂($1079$⋫))↺($1162$/$3657$)≧⫂∧$1100$⨟⋌⩍$5711$)","expression":"↯⪼((∂(≮⫘↔10000110111⋫))↺(≮⫘↔10010001010/≮⫘↔111001001001)≧⫂∧≮⫘↔10001001100⨟⋌⩍≮⫘↔1011001001111)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1116,"operation_count":7,"complexity_ratio":159.42857142857142,"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":1079,"base":2}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1162,"base":2},"right_expr":{"type":"numeric_atoms","value":3657,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1100,"base":2},"right_expr":{"type":"numeric_atoms","value":5711,"base":2}}}}},"used_operators":["8jW3W4yZS5","7j4O788W3g","Uaa54Peajs","JL8yIekQnl","Ph9nP6C5qx","XhwjNDsVaA","rGHVDoGpnC"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr"],"result":"≮⫘↔-10101","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1079","layer":4},{"info":"compute unary expreesion, input=1079, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1079","layer":3},{"info":"compute unary expreesion, input=1079, 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=1162","layer":4},{"info":"number node, value=3657","layer":4},{"info":"compute binary expreesion, left_input=1162, right_input=3657, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1100","layer":4},{"info":"number node, value=5711","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=5711, 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=0, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":2,"result_base":2,"text":"↯⪼((∂(≮⫘↔10000110111⋫))↺(≮⫘↔10010001010/≮⫘↔111001001001)≧⫂∧≮⫘↔10001001100⨟⋌⩍≮⫘↔1011001001111)=≮⫘↔-10101","reverse_text":"≮⫘↔-10101=↯⪼((∂(≮⫘↔10000110111⋫))↺(≮⫘↔10010001010/≮⫘↔111001001001)≧⫂∧≮⫘↔10001001100⨟⋌⩍≮⫘↔1011001001111)","cot":[{"info":"≮⫘↔10000110111⋫=≮⫘↔10000110111","layer":3},{"info":"∂≮⫘↔10000110111=NaN","layer":2},{"info":"≮⫘↔10010001010/≮⫘↔111001001001=≮⫘↔0","layer":3},{"info":"≮⫘↔10001001100⨟⋌⩍≮⫘↔1011001001111=NaN","layer":3},{"info":"≮⫘↔0≧⫂∧NaN=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"↯⪼NaN=≮⫘↔-10101","layer":0}]}
{"id":568,"expression_no_base_symbol":"(((⊥$1266$)⋷(⪲⇎$1433$))⫩⊇)⩚⊴⇥($5965$≎⊠⪸$4949$⨎($7128$⨸⪁$2933$)⪨≂($1270$∑⇟⊟$6703$)≹⇙⪍($1092$⨳⩥⨓$4037$))","expression":"(((⊥≮⫘↔10011110010)⋷(⪲⇎≮⫘↔10110011001))⫩⊇)⩚⊴⇥(≮⫘↔1011101001101≎⊠⪸≮⫘↔1001101010101⨎(≮⫘↔1101111011000⨸⪁≮⫘↔101101110101)⪨≂(≮⫘↔10011110110∑⇟⊟≮⫘↔1101000101111)≹⇙⪍(≮⫘↔10001000100⨳⩥⨓≮⫘↔111111000101))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":294,"operation_count":12,"complexity_ratio":24.5,"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":1266,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1433,"base":2}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5965,"base":2},"right_expr":{"type":"numeric_atoms","value":4949,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7128,"base":2},"right_expr":{"type":"numeric_atoms","value":2933,"base":2}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1270,"base":2},"right_expr":{"type":"numeric_atoms","value":6703,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1092,"base":2},"right_expr":{"type":"numeric_atoms","value":4037,"base":2}}}}},"used_operators":["NTOWxs364D","BjRHVeLaeN","23Mk6UjR3U","Q3PJZHRvZv","XPYlsWDdGa","sdazOOVcIp","rJVOvQCfKK","bJkvcejdHO","g55IO6H4Gj","AHs5Up7iyr","U7g4x0WXJJ","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1266","layer":4},{"info":"compute unary expreesion, input=1266, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1433","layer":4},{"info":"compute unary expreesion, input=1433, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2866","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2866, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":1},{"info":"number node, value=5965","layer":4},{"info":"number node, value=4949","layer":4},{"info":"compute binary expreesion, left_input=5965, right_input=4949, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1544462","layer":3},{"info":"number node, value=7128","layer":4},{"info":"number node, value=2933","layer":4},{"info":"compute binary expreesion, left_input=7128, right_input=2933, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20122","layer":3},{"info":"compute binary expreesion, left_input=1544462, right_input=20122, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=20122","layer":2},{"info":"number node, value=1270","layer":4},{"info":"number node, value=6703","layer":4},{"info":"compute binary expreesion, left_input=1270, right_input=6703, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1092","layer":4},{"info":"number node, value=4037","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=4037, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2945","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2945, 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=20122, 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=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((⊥≮⫘↔10011110010)⋷(⪲⇎≮⫘↔10110011001))⫩⊇)⩚⊴⇥(≮⫘↔1011101001101≎⊠⪸≮⫘↔1001101010101⨎(≮⫘↔1101111011000⨸⪁≮⫘↔101101110101)⪨≂(≮⫘↔10011110110∑⇟⊟≮⫘↔1101000101111)≹⇙⪍(≮⫘↔10001000100⨳⩥⨓≮⫘↔111111000101))=NaN","reverse_text":"NaN=(((⊥≮⫘↔10011110010)⋷(⪲⇎≮⫘↔10110011001))⫩⊇)⩚⊴⇥(≮⫘↔1011101001101≎⊠⪸≮⫘↔1001101010101⨎(≮⫘↔1101111011000⨸⪁≮⫘↔101101110101)⪨≂(≮⫘↔10011110110∑⇟⊟≮⫘↔1101000101111)≹⇙⪍(≮⫘↔10001000100⨳⩥⨓≮⫘↔111111000101))","cot":[{"info":"⊥≮⫘↔10011110010=NaN","layer":3},{"info":"⪲⇎≮⫘↔10110011001=≮⫘↔101100110010","layer":3},{"info":"NaN⋷≮⫘↔101100110010=NaN","layer":2},{"info":"NaN⫩⊇=NaN","layer":1},{"info":"≮⫘↔1011101001101≎⊠⪸≮⫘↔1001101010101=≮⫘↔101111001000100001110","layer":3},{"info":"≮⫘↔1101111011000⨸⪁≮⫘↔101101110101=≮⫘↔100111010011010","layer":3},{"info":"≮⫘↔101111001000100001110⨎≮⫘↔100111010011010=≮⫘↔100111010011010","layer":2},{"info":"≮⫘↔10011110110∑⇟⊟≮⫘↔1101000101111=NaN","layer":3},{"info":"≮⫘↔10001000100⨳⩥⨓≮⫘↔111111000101=≮⫘↔101110000001","layer":3},{"info":"NaN≹⇙⪍≮⫘↔101110000001=NaN","layer":2},{"info":"≮⫘↔100111010011010⪨≂NaN=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":569,"expression_no_base_symbol":"($1681$⨰$3756$%$4121$⨐⩸⫘$5808$)⨪↰⇹(↩($5807$⫌⩹⨱))⪠⩆⊳","expression":"(≮⫘↔11010010001⨰≮⫘↔111010101100%≮⫘↔1000000011001⨐⩸⫘≮⫘↔1011010110000)⨪↰⇹(↩(≮⫘↔1011010101111⫌⩹⨱))⪠⩆⊳","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":38,"operation_count":7,"complexity_ratio":5.428571428571429,"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":1681,"base":2},"right_expr":{"type":"numeric_atoms","value":3756,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4121,"base":2},"right_expr":{"type":"numeric_atoms","value":5808,"base":2}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":5807,"base":2}}}}},"used_operators":["JLbD19bQDL","tmPS8pqC7x","k8jYdgA6NY","eewbuw0ToL","fu6greOZ01","jLgFTUHLKL","EBcxylXtPf"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1681","layer":4},{"info":"number node, value=3756","layer":4},{"info":"compute binary expreesion, left_input=1681, right_input=3756, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2065","layer":3},{"info":"number node, value=4121","layer":4},{"info":"number node, value=5808","layer":4},{"info":"compute binary expreesion, left_input=4121, right_input=5808, 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=-2065, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=5807","layer":4},{"info":"compute unary expreesion, input=5807, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=13015","layer":3},{"info":"compute unary expreesion, input=13015, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-101340","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-101340, 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 = 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":0}],"base":2,"result_base":2,"text":"(≮⫘↔11010010001⨰≮⫘↔111010101100%≮⫘↔1000000011001⨐⩸⫘≮⫘↔1011010110000)⨪↰⇹(↩(≮⫘↔1011010101111⫌⩹⨱))⪠⩆⊳=NaN","reverse_text":"NaN=(≮⫘↔11010010001⨰≮⫘↔111010101100%≮⫘↔1000000011001⨐⩸⫘≮⫘↔1011010110000)⨪↰⇹(↩(≮⫘↔1011010101111⫌⩹⨱))⪠⩆⊳","cot":[{"info":"≮⫘↔11010010001⨰≮⫘↔111010101100=≮⫘↔-100000010001","layer":3},{"info":"≮⫘↔1000000011001⨐⩸⫘≮⫘↔1011010110000=NaN","layer":3},{"info":"≮⫘↔-100000010001%NaN=NaN","layer":2},{"info":"≮⫘↔1011010101111⫌⩹⨱=≮⫘↔11001011010111","layer":3},{"info":"↩≮⫘↔11001011010111=≮⫘↔-11000101111011100","layer":2},{"info":"NaN⨪↰⇹≮⫘↔-11000101111011100=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":570,"expression_no_base_symbol":"((⫓⪴$6277$)↺$8232$⇷$2400$⊭↱(⩦⩻⨪$2539$)≧⫂∧($1005$⋷$5089$))⨟⋌⩍((($1511$-$3751$)%$2669$⨐⩸⫘$6085$)⪒$4106$⋥≓≎$1511$%(⊄⩳↩$1695$))","expression":"((⫓⪴≮⫘↔1100010000101)↺≮⫘↔10000000101000⇷≮⫘↔100101100000⊭↱(⩦⩻⨪≮⫘↔100111101011)≧⫂∧(≮⫘↔1111101101⋷≮⫘↔1001111100001))⨟⋌⩍(((≮⫘↔10111100111-≮⫘↔111010100111)%≮⫘↔101001101101⨐⩸⫘≮⫘↔1011111000101)⪒≮⫘↔1000000001010⋥≓≎≮⫘↔10111100111%(⊄⩳↩≮⫘↔11010011111))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":121561,"operation_count":15,"complexity_ratio":8104.066666666667,"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":6277,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":8232,"base":2},"right_expr":{"type":"numeric_atoms","value":2400,"base":2}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2539,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1005,"base":2},"right_expr":{"type":"numeric_atoms","value":5089,"base":2}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1511,"base":2},"right_expr":{"type":"numeric_atoms","value":3751,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2669,"base":2},"right_expr":{"type":"numeric_atoms","value":6085,"base":2}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4106,"base":2},"right_expr":{"type":"numeric_atoms","value":1511,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1695,"base":2}}}}},"used_operators":["rGHVDoGpnC","COABgblf1C","7j4O788W3g","eLxqMNBOBk","mp7IySMOzn","Ph9nP6C5qx","2td37pGCOC","23Mk6UjR3U","f6k1SAg4EE","k8jYdgA6NY","rysDP5nf3Z","fu6greOZ01","Qy55tPpLXF","8w2t5hMYqp"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6277","layer":4},{"info":"compute unary expreesion, input=6277, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=39400729","layer":3},{"info":"number node, value=8232","layer":4},{"info":"number node, value=2400","layer":4},{"info":"compute binary expreesion, left_input=8232, right_input=2400, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4800","layer":3},{"info":"compute binary expreesion, left_input=39400729, right_input=4800, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4800","layer":2},{"info":"number node, value=2539","layer":4},{"info":"compute unary expreesion, input=2539, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2539","layer":3},{"info":"number node, value=1005","layer":4},{"info":"number node, value=5089","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=5089, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9173","layer":3},{"info":"compute binary expreesion, left_input=2539, right_input=9173, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8700","layer":2},{"info":"compute binary expreesion, left_input=4800, right_input=8700, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7805","layer":1},{"info":"number node, value=1511","layer":4},{"info":"number node, value=3751","layer":4},{"info":"compute binary expreesion, left_input=1511, right_input=3751, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2240","layer":3},{"info":"number node, value=2669","layer":4},{"info":"number node, value=6085","layer":4},{"info":"compute binary expreesion, left_input=2669, right_input=6085, 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=-2240, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4106","layer":4},{"info":"number node, value=1511","layer":4},{"info":"compute binary expreesion, left_input=4106, right_input=1511, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1051","layer":3},{"info":"number node, value=1695","layer":4},{"info":"compute unary expreesion, input=1695, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5085","layer":3},{"info":"compute binary expreesion, left_input=-1051, right_input=-5085, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-1051","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1051, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=7805, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⫓⪴≮⫘↔1100010000101)↺≮⫘↔10000000101000⇷≮⫘↔100101100000⊭↱(⩦⩻⨪≮⫘↔100111101011)≧⫂∧(≮⫘↔1111101101⋷≮⫘↔1001111100001))⨟⋌⩍(((≮⫘↔10111100111-≮⫘↔111010100111)%≮⫘↔101001101101⨐⩸⫘≮⫘↔1011111000101)⪒≮⫘↔1000000001010⋥≓≎≮⫘↔10111100111%(⊄⩳↩≮⫘↔11010011111))=NaN","reverse_text":"NaN=((⫓⪴≮⫘↔1100010000101)↺≮⫘↔10000000101000⇷≮⫘↔100101100000⊭↱(⩦⩻⨪≮⫘↔100111101011)≧⫂∧(≮⫘↔1111101101⋷≮⫘↔1001111100001))⨟⋌⩍(((≮⫘↔10111100111-≮⫘↔111010100111)%≮⫘↔101001101101⨐⩸⫘≮⫘↔1011111000101)⪒≮⫘↔1000000001010⋥≓≎≮⫘↔10111100111%(⊄⩳↩≮⫘↔11010011111))","cot":[{"info":"⫓⪴≮⫘↔1100010000101=≮⫘↔10010110010011010100011001","layer":3},{"info":"≮⫘↔10000000101000⇷≮⫘↔100101100000=≮⫘↔1001011000000","layer":3},{"info":"≮⫘↔10010110010011010100011001↺≮⫘↔1001011000000=≮⫘↔1001011000000","layer":2},{"info":"⩦⩻⨪≮⫘↔100111101011=≮⫘↔100111101011","layer":3},{"info":"≮⫘↔1111101101⋷≮⫘↔1001111100001=≮⫘↔10001111010101","layer":3},{"info":"≮⫘↔100111101011≧⫂∧≮⫘↔10001111010101=≮⫘↔10000111111100","layer":2},{"info":"≮⫘↔1001011000000⊭↱≮⫘↔10000111111100=≮⫘↔1111001111101","layer":1},{"info":"≮⫘↔10111100111-≮⫘↔111010100111=≮⫘↔-100011000000","layer":3},{"info":"≮⫘↔101001101101⨐⩸⫘≮⫘↔1011111000101=NaN","layer":3},{"info":"≮⫘↔-100011000000%NaN=NaN","layer":2},{"info":"≮⫘↔1000000001010⋥≓≎≮⫘↔10111100111=≮⫘↔-10000011011","layer":3},{"info":"⊄⩳↩≮⫘↔11010011111=≮⫘↔-1001111011101","layer":3},{"info":"≮⫘↔-10000011011%≮⫘↔-1001111011101=≮⫘↔-10000011011","layer":2},{"info":"NaN⪒≮⫘↔-10000011011=NaN","layer":1},{"info":"≮⫘↔1111001111101⨟⋌⩍NaN=NaN","layer":0}]}
{"id":571,"expression_no_base_symbol":"⇁⨣⪵(↽≂$5853$⋓$8300$)⨪↰⇹(($1348$∸)⫸⊐($3830$≣⋋))","expression":"⇁⨣⪵(↽≂≮⫘↔1011011011101⋓≮⫘↔10000001101100)⨪↰⇹((≮⫘↔10101000100∸)⫸⊐(≮⫘↔111011110110≣⋋))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":713,"operation_count":7,"complexity_ratio":101.85714285714286,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5853,"base":2},"right_expr":{"type":"numeric_atoms","value":8300,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1348,"base":2}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3830,"base":2}}}}},"used_operators":["inkyxCbjAn","tmPS8pqC7x","u6S6b8DprG","T2fj7uvVaJ","mqXw5SEYmG","o20kRiQErp","Tcnh7f0tEr"],"dependent_operators":["B5M0gjZbta","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=5853","layer":4},{"info":"number node, value=8300","layer":4},{"info":"compute binary expreesion, left_input=5853, right_input=8300, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":2},{"info":"number node, value=1348","layer":4},{"info":"compute unary expreesion, input=1348, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=3830","layer":4},{"info":"compute unary expreesion, input=3830, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=177, 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=47","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=47, 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":1},{"info":"compute unary expreesion, input=0, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":0}],"base":2,"result_base":2,"text":"⇁⨣⪵(↽≂≮⫘↔1011011011101⋓≮⫘↔10000001101100)⨪↰⇹((≮⫘↔10101000100∸)⫸⊐(≮⫘↔111011110110≣⋋))=≮⫘↔0","reverse_text":"≮⫘↔0=⇁⨣⪵(↽≂≮⫘↔1011011011101⋓≮⫘↔10000001101100)⨪↰⇹((≮⫘↔10101000100∸)⫸⊐(≮⫘↔111011110110≣⋋))","cot":[{"info":"≮⫘↔1011011011101⋓≮⫘↔10000001101100=≮⫘↔0","layer":3},{"info":"↽≂≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔10101000100∸=≮⫘↔10110001","layer":3},{"info":"≮⫘↔111011110110≣⋋=≮⫘↔0","layer":3},{"info":"≮⫘↔10110001⫸⊐≮⫘↔0=≮⫘↔101111","layer":2},{"info":"≮⫘↔0⨪↰⇹≮⫘↔101111=≮⫘↔0","layer":1},{"info":"⇁⨣⪵≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":572,"expression_no_base_symbol":"⇁⨣⪵((⩦⩻⨪$1509$)⊉≛↸$7273$+⇶⊼$3726$+(⨈⫕$8787$)≎⊠⪸($2496$⊉≛↸$3739$))","expression":"⇁⨣⪵((⩦⩻⨪≮⫘↔10111100101)⊉≛↸≮⫘↔1110001101001+⇶⊼≮⫘↔111010001110+(⨈⫕≮⫘↔10001001010011)≎⊠⪸(≮⫘↔100111000000⊉≛↸≮⫘↔111010011011))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":429,"operation_count":8,"complexity_ratio":53.625,"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":1509,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7273,"base":2},"right_expr":{"type":"numeric_atoms","value":3726,"base":2}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":8787,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2496,"base":2},"right_expr":{"type":"numeric_atoms","value":3739,"base":2}}}}},"used_operators":["inkyxCbjAn","W4YGzv6Whe","DZ8iAZOCBD","2td37pGCOC","TpPTUOHfaN","bJkvcejdHO","megm06wKyl"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1509","layer":4},{"info":"compute unary expreesion, input=1509, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1509","layer":3},{"info":"number node, value=7273","layer":4},{"info":"number node, value=3726","layer":4},{"info":"compute binary expreesion, left_input=7273, right_input=3726, 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=1509, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3018","layer":2},{"info":"number node, value=8787","layer":4},{"info":"compute unary expreesion, input=8787, 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=2496","layer":4},{"info":"number node, value=3739","layer":4},{"info":"compute binary expreesion, left_input=2496, right_input=3739, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4992","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=4992, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=5439","layer":2},{"info":"compute binary expreesion, left_input=3018, right_input=5439, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8457","layer":1},{"info":"compute unary expreesion, input=8457, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⇁⨣⪵((⩦⩻⨪≮⫘↔10111100101)⊉≛↸≮⫘↔1110001101001+⇶⊼≮⫘↔111010001110+(⨈⫕≮⫘↔10001001010011)≎⊠⪸(≮⫘↔100111000000⊉≛↸≮⫘↔111010011011))=NaN","reverse_text":"NaN=⇁⨣⪵((⩦⩻⨪≮⫘↔10111100101)⊉≛↸≮⫘↔1110001101001+⇶⊼≮⫘↔111010001110+(⨈⫕≮⫘↔10001001010011)≎⊠⪸(≮⫘↔100111000000⊉≛↸≮⫘↔111010011011))","cot":[{"info":"⩦⩻⨪≮⫘↔10111100101=≮⫘↔10111100101","layer":3},{"info":"≮⫘↔1110001101001+⇶⊼≮⫘↔111010001110=NaN","layer":3},{"info":"≮⫘↔10111100101⊉≛↸NaN=≮⫘↔101111001010","layer":2},{"info":"⨈⫕≮⫘↔10001001010011=≮⫘↔-10101","layer":3},{"info":"≮⫘↔100111000000⊉≛↸≮⫘↔111010011011=≮⫘↔1001110000000","layer":3},{"info":"≮⫘↔-10101≎⊠⪸≮⫘↔1001110000000=≮⫘↔1010100111111","layer":2},{"info":"≮⫘↔101111001010+≮⫘↔1010100111111=≮⫘↔10000100001001","layer":1},{"info":"⇁⨣⪵≮⫘↔10000100001001=NaN","layer":0}]}
{"id":573,"expression_no_base_symbol":"(($1445$⨐⩸⫘$4941$⊉≛↸$4834$⪮%⊝$1106$)⫸⊐($2098$∲⫓$1162$)⨟⋌⩍($7570$⫸⊐$3851$))≫≃","expression":"((≮⫘↔10110100101⨐⩸⫘≮⫘↔1001101001101⊉≛↸≮⫘↔1001011100010⪮%⊝≮⫘↔10001010010)⫸⊐(≮⫘↔100000110010∲⫓≮⫘↔10010001010)⨟⋌⩍(≮⫘↔1110110010010⫸⊐≮⫘↔111100001011))≫≃","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":50,"operation_count":8,"complexity_ratio":6.25,"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":1445,"base":2},"right_expr":{"type":"numeric_atoms","value":4941,"base":2}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4834,"base":2},"right_expr":{"type":"numeric_atoms","value":1106,"base":2}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2098,"base":2},"right_expr":{"type":"numeric_atoms","value":1162,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7570,"base":2},"right_expr":{"type":"numeric_atoms","value":3851,"base":2}}}}},"used_operators":["X99M06cbEe","mqXw5SEYmG","DZ8iAZOCBD","fu6greOZ01","IWmyXbctLI","rGHVDoGpnC","i8ToyICDmI"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1445","layer":4},{"info":"number node, value=4941","layer":4},{"info":"compute binary expreesion, left_input=1445, right_input=4941, 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=4834","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=4834, right_input=1106, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9984","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9984, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"number node, value=2098","layer":4},{"info":"number node, value=1162","layer":4},{"info":"compute binary expreesion, left_input=2098, right_input=1162, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=7570","layer":4},{"info":"number node, value=3851","layer":4},{"info":"compute binary expreesion, left_input=7570, right_input=3851, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15279","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=15279, 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 = 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 unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10110100101⨐⩸⫘≮⫘↔1001101001101⊉≛↸≮⫘↔1001011100010⪮%⊝≮⫘↔10001010010)⫸⊐(≮⫘↔100000110010∲⫓≮⫘↔10010001010)⨟⋌⩍(≮⫘↔1110110010010⫸⊐≮⫘↔111100001011))≫≃=NaN","reverse_text":"NaN=((≮⫘↔10110100101⨐⩸⫘≮⫘↔1001101001101⊉≛↸≮⫘↔1001011100010⪮%⊝≮⫘↔10001010010)⫸⊐(≮⫘↔100000110010∲⫓≮⫘↔10010001010)⨟⋌⩍(≮⫘↔1110110010010⫸⊐≮⫘↔111100001011))≫≃","cot":[{"info":"≮⫘↔10110100101⨐⩸⫘≮⫘↔1001101001101=NaN","layer":3},{"info":"≮⫘↔1001011100010⪮%⊝≮⫘↔10001010010=≮⫘↔10011100000000","layer":3},{"info":"NaN⊉≛↸≮⫘↔10011100000000=NaN","layer":2},{"info":"≮⫘↔100000110010∲⫓≮⫘↔10010001010=≮⫘↔0","layer":3},{"info":"≮⫘↔1110110010010⫸⊐≮⫘↔111100001011=≮⫘↔11101110101111","layer":3},{"info":"≮⫘↔0⨟⋌⩍≮⫘↔11101110101111=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"NaN≫≃=NaN","layer":0}]}
{"id":574,"expression_no_base_symbol":"($1121$⩚⊴⇥$3160$)⋝⋈⪟(⫛⫱⨽$1022$)⨽($1095$↙$1380$)⪢($9510$⨎$3944$)⨵⪆(((⪲⇎$2900$)⩨($1113$⇼⇔∾$3581$))⊭∹↮)","expression":"(≮⫘↔10001100001⩚⊴⇥≮⫘↔110001011000)⋝⋈⪟(⫛⫱⨽≮⫘↔1111111110)⨽(≮⫘↔10001000111↙≮⫘↔10101100100)⪢(≮⫘↔10010100100110⨎≮⫘↔111101101000)⨵⪆(((⪲⇎≮⫘↔101101010100)⩨(≮⫘↔10001011001⇼⇔∾≮⫘↔110111111101))⊭∹↮)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11403,"operation_count":12,"complexity_ratio":950.25,"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":1121,"base":2},"right_expr":{"type":"numeric_atoms","value":3160,"base":2}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1022,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1095,"base":2},"right_expr":{"type":"numeric_atoms","value":1380,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":9510,"base":2},"right_expr":{"type":"numeric_atoms","value":3944,"base":2}}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2900,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1113,"base":2},"right_expr":{"type":"numeric_atoms","value":3581,"base":2}}}}},"used_operators":["2DQ55sFlQl","8HhzD0ZcuI","2DDjHMKMc0","NTOWxs364D","DlLNRPXxWL","dWAJyo7jo9","yyfyN0ffXY","rJVOvQCfKK","xNBdhnnwKq","2DlMacCsIx","XPYlsWDdGa","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1121","layer":4},{"info":"number node, value=3160","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=3160, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4402","layer":3},{"info":"number node, value=1022","layer":4},{"info":"compute unary expreesion, input=1022, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4402, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-4402","layer":2},{"info":"number node, value=1095","layer":4},{"info":"number node, value=1380","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=1380, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4140","layer":3},{"info":"number node, value=9510","layer":4},{"info":"number node, value=3944","layer":4},{"info":"compute binary expreesion, left_input=9510, right_input=3944, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3944","layer":3},{"info":"compute binary expreesion, left_input=-4140, right_input=3944, 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=-4402, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=2900","layer":4},{"info":"compute unary expreesion, input=2900, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5800","layer":3},{"info":"number node, value=1113","layer":4},{"info":"number node, value=3581","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=3581, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2468","layer":3},{"info":"compute binary expreesion, left_input=5800, right_input=2468, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10001100001⩚⊴⇥≮⫘↔110001011000)⋝⋈⪟(⫛⫱⨽≮⫘↔1111111110)⨽(≮⫘↔10001000111↙≮⫘↔10101100100)⪢(≮⫘↔10010100100110⨎≮⫘↔111101101000)⨵⪆(((⪲⇎≮⫘↔101101010100)⩨(≮⫘↔10001011001⇼⇔∾≮⫘↔110111111101))⊭∹↮)=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(≮⫘↔10001100001⩚⊴⇥≮⫘↔110001011000)⋝⋈⪟(⫛⫱⨽≮⫘↔1111111110)⨽(≮⫘↔10001000111↙≮⫘↔10101100100)⪢(≮⫘↔10010100100110⨎≮⫘↔111101101000)⨵⪆(((⪲⇎≮⫘↔101101010100)⩨(≮⫘↔10001011001⇼⇔∾≮⫘↔110111111101))⊭∹↮)","cot":[{"info":"≮⫘↔10001100001⩚⊴⇥≮⫘↔110001011000=≮⫘↔-1000100110010","layer":3},{"info":"⫛⫱⨽≮⫘↔1111111110=≮⫘↔0","layer":3},{"info":"≮⫘↔-1000100110010⋝⋈⪟≮⫘↔0=≮⫘↔-1000100110010","layer":2},{"info":"≮⫘↔10001000111↙≮⫘↔10101100100=≮⫘↔-1000000101100","layer":3},{"info":"≮⫘↔10010100100110⨎≮⫘↔111101101000=≮⫘↔111101101000","layer":3},{"info":"≮⫘↔-1000000101100⪢≮⫘↔111101101000=NaN","layer":2},{"info":"≮⫘↔-1000100110010⨽NaN=NaN","layer":1},{"info":"⪲⇎≮⫘↔101101010100=≮⫘↔1011010101000","layer":3},{"info":"≮⫘↔10001011001⇼⇔∾≮⫘↔110111111101=≮⫘↔100110100100","layer":3},{"info":"≮⫘↔1011010101000⩨≮⫘↔100110100100=≮⫘↔0","layer":2},{"info":"≮⫘↔0⊭∹↮=≮⫘↔0","layer":1},{"info":"NaN⨵⪆≮⫘↔0=≮⫘↔10100000","layer":0}]}
{"id":575,"expression_no_base_symbol":"((↩($1049$⊭∹↮))⊭↱($2445$%$2447$)⋳⪒($2422$⫡⨏$4608$))⋳⪒(($4241$⋓$2465$↛⩡⫤)⇼⇔∾($2182$≦≮≮)≧⫂∧($3130$%$2017$))","expression":"((↩(≮⫘↔10000011001⊭∹↮))⊭↱(≮⫘↔100110001101%≮⫘↔100110001111)⋳⪒(≮⫘↔100101110110⫡⨏≮⫘↔1001000000000))⋳⪒((≮⫘↔1000010010001⋓≮⫘↔100110100001↛⩡⫤)⇼⇔∾(≮⫘↔100010000110≦≮≮)≧⫂∧(≮⫘↔110000111010%≮⫘↔11111100001))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":136,"operation_count":13,"complexity_ratio":10.461538461538462,"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":1049,"base":2}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2445,"base":2},"right_expr":{"type":"numeric_atoms","value":2447,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2422,"base":2},"right_expr":{"type":"numeric_atoms","value":4608,"base":2}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4241,"base":2},"right_expr":{"type":"numeric_atoms","value":2465,"base":2}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2182,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3130,"base":2},"right_expr":{"type":"numeric_atoms","value":2017,"base":2}}}}},"used_operators":["12rbrZMWeM","COABgblf1C","jLgFTUHLKL","xNBdhnnwKq","k8jYdgA6NY","QMFrweE19q","tifHPKVTfV","FU0Cs4j7VP","T2fj7uvVaJ","Ph9nP6C5qx","D4vGDi5EA2"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-11101001001101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1049","layer":4},{"info":"compute unary expreesion, input=1049, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2098","layer":3},{"info":"compute unary expreesion, input=2098, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-14004","layer":2},{"info":"number node, value=2445","layer":4},{"info":"number node, value=2447","layer":4},{"info":"compute binary expreesion, left_input=2445, right_input=2447, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2445","layer":3},{"info":"number node, value=2422","layer":4},{"info":"number node, value=4608","layer":4},{"info":"compute binary expreesion, left_input=2422, right_input=4608, 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=22109","layer":3},{"info":"compute binary expreesion, left_input=2445, right_input=22109, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-17506","layer":2},{"info":"compute binary expreesion, left_input=-14004, right_input=-17506, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6999","layer":1},{"info":"number node, value=4241","layer":4},{"info":"number node, value=2465","layer":4},{"info":"compute binary expreesion, left_input=4241, right_input=2465, 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 = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=0","layer":2},{"info":"number node, value=2182","layer":4},{"info":"compute unary expreesion, input=2182, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6546","layer":3},{"info":"number node, value=3130","layer":4},{"info":"number node, value=2017","layer":4},{"info":"compute binary expreesion, left_input=3130, right_input=2017, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1113","layer":3},{"info":"compute binary expreesion, left_input=-6546, right_input=1113, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=640","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=640, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=640","layer":1},{"info":"compute binary expreesion, left_input=-6999, right_input=640, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-14925","layer":0}],"base":2,"result_base":2,"text":"((↩(≮⫘↔10000011001⊭∹↮))⊭↱(≮⫘↔100110001101%≮⫘↔100110001111)⋳⪒(≮⫘↔100101110110⫡⨏≮⫘↔1001000000000))⋳⪒((≮⫘↔1000010010001⋓≮⫘↔100110100001↛⩡⫤)⇼⇔∾(≮⫘↔100010000110≦≮≮)≧⫂∧(≮⫘↔110000111010%≮⫘↔11111100001))=≮⫘↔-11101001001101","reverse_text":"≮⫘↔-11101001001101=((↩(≮⫘↔10000011001⊭∹↮))⊭↱(≮⫘↔100110001101%≮⫘↔100110001111)⋳⪒(≮⫘↔100101110110⫡⨏≮⫘↔1001000000000))⋳⪒((≮⫘↔1000010010001⋓≮⫘↔100110100001↛⩡⫤)⇼⇔∾(≮⫘↔100010000110≦≮≮)≧⫂∧(≮⫘↔110000111010%≮⫘↔11111100001))","cot":[{"info":"≮⫘↔10000011001⊭∹↮=≮⫘↔100000110010","layer":3},{"info":"↩≮⫘↔100000110010=≮⫘↔-11011010110100","layer":2},{"info":"≮⫘↔100110001101%≮⫘↔100110001111=≮⫘↔100110001101","layer":3},{"info":"≮⫘↔100101110110⫡⨏≮⫘↔1001000000000=≮⫘↔101011001011101","layer":3},{"info":"≮⫘↔100110001101⋳⪒≮⫘↔101011001011101=≮⫘↔-100010001100010","layer":2},{"info":"≮⫘↔-11011010110100⊭↱≮⫘↔-100010001100010=≮⫘↔-1101101010111","layer":1},{"info":"≮⫘↔1000010010001⋓≮⫘↔100110100001=≮⫘↔0","layer":3},{"info":"≮⫘↔0↛⩡⫤=≮⫘↔0","layer":2},{"info":"≮⫘↔100010000110≦≮≮=≮⫘↔-1100110010010","layer":3},{"info":"≮⫘↔110000111010%≮⫘↔11111100001=≮⫘↔10001011001","layer":3},{"info":"≮⫘↔-1100110010010≧⫂∧≮⫘↔10001011001=≮⫘↔1010000000","layer":2},{"info":"≮⫘↔0⇼⇔∾≮⫘↔1010000000=≮⫘↔1010000000","layer":1},{"info":"≮⫘↔-1101101010111⋳⪒≮⫘↔1010000000=≮⫘↔-11101001001101","layer":0}]}
{"id":576,"expression_no_base_symbol":"(($7135$⩷∴$4357$)⪘⫢($6885$%$3295$)⪨≂($2441$⪨≂$1416$)∀⇚≩(↩$8548$))⊘","expression":"((≮⫘↔1101111011111⩷∴≮⫘↔1000100000101)⪘⫢(≮⫘↔1101011100101%≮⫘↔110011011111)⪨≂(≮⫘↔100110001001⪨≂≮⫘↔10110001000)∀⇚≩(↩≮⫘↔10000101100100))⊘","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":15128,"operation_count":8,"complexity_ratio":1891.0,"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":7135,"base":2},"right_expr":{"type":"numeric_atoms","value":4357,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6885,"base":2},"right_expr":{"type":"numeric_atoms","value":3295,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2441,"base":2},"right_expr":{"type":"numeric_atoms","value":1416,"base":2}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":8548,"base":2}}}}},"used_operators":["gu96TGCTMs","sdazOOVcIp","oacrs7FA3X","9FxExcQeMw","k8jYdgA6NY","LRNGc0VcxI","jLgFTUHLKL"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","rysDP5nf3Z","X99M06cbEe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7135","layer":4},{"info":"number node, value=4357","layer":4},{"info":"compute binary expreesion, left_input=7135, right_input=4357, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5524","layer":3},{"info":"number node, value=6885","layer":4},{"info":"number node, value=3295","layer":4},{"info":"compute binary expreesion, left_input=6885, right_input=3295, op_id = k8jYdgA6NY binary_op_definition= 'None', output=295","layer":3},{"info":"compute binary expreesion, left_input=5524, right_input=295, 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":"number node, value=2441","layer":4},{"info":"number node, value=1416","layer":4},{"info":"compute binary expreesion, left_input=2441, right_input=1416, 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=2152","layer":3},{"info":"number node, value=8548","layer":4},{"info":"compute unary expreesion, input=8548, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-65604","layer":3},{"info":"compute binary expreesion, left_input=2152, right_input=-65604, 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=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":1},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1101111011111⩷∴≮⫘↔1000100000101)⪘⫢(≮⫘↔1101011100101%≮⫘↔110011011111)⪨≂(≮⫘↔100110001001⪨≂≮⫘↔10110001000)∀⇚≩(↩≮⫘↔10000101100100))⊘=NaN","reverse_text":"NaN=((≮⫘↔1101111011111⩷∴≮⫘↔1000100000101)⪘⫢(≮⫘↔1101011100101%≮⫘↔110011011111)⪨≂(≮⫘↔100110001001⪨≂≮⫘↔10110001000)∀⇚≩(↩≮⫘↔10000101100100))⊘","cot":[{"info":"≮⫘↔1101111011111⩷∴≮⫘↔1000100000101=≮⫘↔1010110010100","layer":3},{"info":"≮⫘↔1101011100101%≮⫘↔110011011111=≮⫘↔100100111","layer":3},{"info":"≮⫘↔1010110010100⪘⫢≮⫘↔100100111=≮⫘↔0","layer":2},{"info":"≮⫘↔100110001001⪨≂≮⫘↔10110001000=≮⫘↔100001101000","layer":3},{"info":"↩≮⫘↔10000101100100=≮⫘↔-10000000001000100","layer":3},{"info":"≮⫘↔100001101000∀⇚≩≮⫘↔-10000000001000100=NaN","layer":2},{"info":"≮⫘↔0⪨≂NaN=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
{"id":577,"expression_no_base_symbol":"($3785$⨽$1694$⩨$7868$∑⇟⊟$1422$)⋓((∥⊫$3636$)*$5682$⪢$3133$)%($2181$⪢$1258$+$1214$⫥∨⫟$7215$)+⇶⊼($1720$∲⫓$8039$)⨓($1664$⨵⪆$4303$)","expression":"(≮⫘↔111011001001⨽≮⫘↔11010011110⩨≮⫘↔1111010111100∑⇟⊟≮⫘↔10110001110)⋓((∥⊫≮⫘↔111000110100)*≮⫘↔1011000110010⪢≮⫘↔110000111101)%(≮⫘↔100010000101⪢≮⫘↔10011101010+≮⫘↔10010111110⫥∨⫟≮⫘↔1110000101111)+⇶⊼(≮⫘↔11010111000∲⫓≮⫘↔1111101100111)⨓(≮⫘↔11010000000⨵⪆≮⫘↔1000011001111)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10789,"operation_count":15,"complexity_ratio":719.2666666666667,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3785,"base":2},"right_expr":{"type":"numeric_atoms","value":1694,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7868,"base":2},"right_expr":{"type":"numeric_atoms","value":1422,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3636,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5682,"base":2},"right_expr":{"type":"numeric_atoms","value":3133,"base":2}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2181,"base":2},"right_expr":{"type":"numeric_atoms","value":1258,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1214,"base":2},"right_expr":{"type":"numeric_atoms","value":7215,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1720,"base":2},"right_expr":{"type":"numeric_atoms","value":8039,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1664,"base":2},"right_expr":{"type":"numeric_atoms","value":4303,"base":2}}}}},"used_operators":["k8jYdgA6NY","T2fj7uvVaJ","2DlMacCsIx","8HhzD0ZcuI","U7g4x0WXJJ","9HNa5Wba9A","P8v4zCKN1o","dWAJyo7jo9","TpPTUOHfaN","W4YGzv6Whe","KYD54nUTWz","3ViojmjbAp","i8ToyICDmI","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3785","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=3785, right_input=1694, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-42982443","layer":3},{"info":"number node, value=7868","layer":4},{"info":"number node, value=1422","layer":4},{"info":"compute binary expreesion, left_input=7868, right_input=1422, 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=-42982443, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=3636","layer":4},{"info":"compute unary expreesion, input=3636, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4504","layer":3},{"info":"number node, value=5682","layer":4},{"info":"number node, value=3133","layer":4},{"info":"compute binary expreesion, left_input=5682, right_input=3133, 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=4504, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"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":1},{"info":"number node, value=2181","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=2181, 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":"number node, value=1214","layer":4},{"info":"number node, value=7215","layer":4},{"info":"compute binary expreesion, left_input=1214, right_input=7215, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1720","layer":4},{"info":"number node, value=8039","layer":4},{"info":"compute binary expreesion, left_input=1720, right_input=8039, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1664","layer":4},{"info":"number node, value=4303","layer":4},{"info":"compute binary expreesion, left_input=1664, right_input=4303, 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=0, right_input=160, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-163","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-163, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔111011001001⨽≮⫘↔11010011110⩨≮⫘↔1111010111100∑⇟⊟≮⫘↔10110001110)⋓((∥⊫≮⫘↔111000110100)*≮⫘↔1011000110010⪢≮⫘↔110000111101)%(≮⫘↔100010000101⪢≮⫘↔10011101010+≮⫘↔10010111110⫥∨⫟≮⫘↔1110000101111)+⇶⊼(≮⫘↔11010111000∲⫓≮⫘↔1111101100111)⨓(≮⫘↔11010000000⨵⪆≮⫘↔1000011001111)=NaN","reverse_text":"NaN=(≮⫘↔111011001001⨽≮⫘↔11010011110⩨≮⫘↔1111010111100∑⇟⊟≮⫘↔10110001110)⋓((∥⊫≮⫘↔111000110100)*≮⫘↔1011000110010⪢≮⫘↔110000111101)%(≮⫘↔100010000101⪢≮⫘↔10011101010+≮⫘↔10010111110⫥∨⫟≮⫘↔1110000101111)+⇶⊼(≮⫘↔11010111000∲⫓≮⫘↔1111101100111)⨓(≮⫘↔11010000000⨵⪆≮⫘↔1000011001111)","cot":[{"info":"≮⫘↔111011001001⨽≮⫘↔11010011110=≮⫘↔-10100011111101110000101011","layer":3},{"info":"≮⫘↔1111010111100∑⇟⊟≮⫘↔10110001110=NaN","layer":3},{"info":"≮⫘↔-10100011111101110000101011⩨NaN=NaN","layer":2},{"info":"∥⊫≮⫘↔111000110100=≮⫘↔1000110011000","layer":3},{"info":"≮⫘↔1011000110010⪢≮⫘↔110000111101=NaN","layer":3},{"info":"≮⫘↔1000110011000*NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"≮⫘↔100010000101⪢≮⫘↔10011101010=NaN","layer":3},{"info":"≮⫘↔10010111110⫥∨⫟≮⫘↔1110000101111=NaN","layer":3},{"info":"NaN+NaN=NaN","layer":2},{"info":"≮⫘↔11010111000∲⫓≮⫘↔1111101100111=≮⫘↔0","layer":3},{"info":"≮⫘↔11010000000⨵⪆≮⫘↔1000011001111=≮⫘↔10100000","layer":3},{"info":"≮⫘↔0⨓≮⫘↔10100000=≮⫘↔-10100011","layer":2},{"info":"NaN+⇶⊼≮⫘↔-10100011=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":578,"expression_no_base_symbol":"⇁⨣⪵($1814$⩨$8380$⊭↱$1396$⋳⪒$1174$)⊴($1320$↺$2150$⫡⨏$1151$⩚⊴⇥$1250$)","expression":"⇁⨣⪵(≮⫘↔11100010110⩨≮⫘↔10000010111100⊭↱≮⫘↔10101110100⋳⪒≮⫘↔10010010110)⊴(≮⫘↔10100101000↺≮⫘↔100001100110⫡⨏≮⫘↔10001111111⩚⊴⇥≮⫘↔10011100010)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6528,"operation_count":8,"complexity_ratio":816.0,"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":1814,"base":2},"right_expr":{"type":"numeric_atoms","value":8380,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1396,"base":2},"right_expr":{"type":"numeric_atoms","value":1174,"base":2}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1320,"base":2},"right_expr":{"type":"numeric_atoms","value":2150,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1151,"base":2},"right_expr":{"type":"numeric_atoms","value":1250,"base":2}}}}},"used_operators":["inkyxCbjAn","Nsiff2A1zJ","COABgblf1C","2DlMacCsIx","12rbrZMWeM","QMFrweE19q","7j4O788W3g","NTOWxs364D"],"dependent_operators":["B5M0gjZbta","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1814","layer":4},{"info":"number node, value=8380","layer":4},{"info":"compute binary expreesion, left_input=1814, right_input=8380, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-12","layer":3},{"info":"number node, value=1396","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=1396, right_input=1174, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1331","layer":3},{"info":"compute binary expreesion, left_input=-12, right_input=1331, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2691","layer":2},{"info":"number node, value=1320","layer":4},{"info":"number node, value=2150","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=2150, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2150","layer":3},{"info":"number node, value=1151","layer":4},{"info":"number node, value=1250","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=1250, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2522","layer":3},{"info":"compute binary expreesion, left_input=2150, right_input=-2522, 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=6489","layer":2},{"info":"compute binary expreesion, left_input=2691, right_input=6489, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⇁⨣⪵(≮⫘↔11100010110⩨≮⫘↔10000010111100⊭↱≮⫘↔10101110100⋳⪒≮⫘↔10010010110)⊴(≮⫘↔10100101000↺≮⫘↔100001100110⫡⨏≮⫘↔10001111111⩚⊴⇥≮⫘↔10011100010)=NaN","reverse_text":"NaN=⇁⨣⪵(≮⫘↔11100010110⩨≮⫘↔10000010111100⊭↱≮⫘↔10101110100⋳⪒≮⫘↔10010010110)⊴(≮⫘↔10100101000↺≮⫘↔100001100110⫡⨏≮⫘↔10001111111⩚⊴⇥≮⫘↔10011100010)","cot":[{"info":"≮⫘↔11100010110⩨≮⫘↔10000010111100=≮⫘↔-1100","layer":3},{"info":"≮⫘↔10101110100⋳⪒≮⫘↔10010010110=≮⫘↔10100110011","layer":3},{"info":"≮⫘↔-1100⊭↱≮⫘↔10100110011=≮⫘↔101010000011","layer":2},{"info":"≮⫘↔10100101000↺≮⫘↔100001100110=≮⫘↔100001100110","layer":3},{"info":"≮⫘↔10001111111⩚⊴⇥≮⫘↔10011100010=≮⫘↔-100111011010","layer":3},{"info":"≮⫘↔100001100110⫡⨏≮⫘↔-100111011010=≮⫘↔1100101011001","layer":2},{"info":"≮⫘↔101010000011⊴≮⫘↔1100101011001=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":579,"expression_no_base_symbol":"(-(≉$1340$⨐⩸⫘$8065$))⋫","expression":"(-(≉≮⫘↔10100111100⨐⩸⫘≮⫘↔1111110000001))⋫","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":4,"operation_count":4,"complexity_ratio":1.0,"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":1340,"base":2},"right_expr":{"type":"numeric_atoms","value":8065,"base":2}}}}},"used_operators":["JL8yIekQnl","t8gj7n24qd","e1ybzncUwg","fu6greOZ01"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1340","layer":4},{"info":"number node, value=8065","layer":4},{"info":"compute binary expreesion, left_input=1340, right_input=8065, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(-(≉≮⫘↔10100111100⨐⩸⫘≮⫘↔1111110000001))⋫=NaN","reverse_text":"NaN=(-(≉≮⫘↔10100111100⨐⩸⫘≮⫘↔1111110000001))⋫","cot":[{"info":"≮⫘↔10100111100⨐⩸⫘≮⫘↔1111110000001=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":580,"expression_no_base_symbol":"(($1738$⪠⩆⊳)⫥∨⫟($2673$⊘))≭(⇁⨣⪵($1205$⫡⨏$3217$))⨐⩸⫘(($1611$⩚⊴⇥$1281$)↬(⨰⫟⨤$1360$))↬(($1259$⪄$2334$)⊦⊿)","expression":"((≮⫘↔11011001010⪠⩆⊳)⫥∨⫟(≮⫘↔101001110001⊘))≭(⇁⨣⪵(≮⫘↔10010110101⫡⨏≮⫘↔110010010001))⨐⩸⫘((≮⫘↔11001001011⩚⊴⇥≮⫘↔10100000001)↬(⨰⫟⨤≮⫘↔10101010000))↬((≮⫘↔10011101011⪄≮⫘↔100100011110)⊦⊿)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4895,"operation_count":13,"complexity_ratio":376.53846153846155,"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":1738,"base":2}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2673,"base":2}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1205,"base":2},"right_expr":{"type":"numeric_atoms","value":3217,"base":2}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1611,"base":2},"right_expr":{"type":"numeric_atoms","value":1281,"base":2}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1360,"base":2}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1259,"base":2},"right_expr":{"type":"numeric_atoms","value":2334,"base":2}}}}},"used_operators":["fu6greOZ01","rxpJgHHUmx","KYD54nUTWz","JLbD19bQDL","gu96TGCTMs","inkyxCbjAn","QMFrweE19q","B5M0gjZbta","NTOWxs364D","Tw270M8GLb","14qkJME0vr","SUmda5xLS4"],"dependent_operators":["3ViojmjbAp","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1738","layer":4},{"info":"compute unary expreesion, input=1738, 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=2673","layer":4},{"info":"compute unary expreesion, input=2673, 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=0, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1205","layer":4},{"info":"number node, value=3217","layer":4},{"info":"compute binary expreesion, left_input=1205, right_input=3217, 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=13242","layer":3},{"info":"compute unary expreesion, input=13242, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=1611","layer":4},{"info":"number node, value=1281","layer":4},{"info":"compute binary expreesion, left_input=1611, right_input=1281, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3013","layer":3},{"info":"number node, value=1360","layer":4},{"info":"compute unary expreesion, input=1360, 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=-3013, 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":2},{"info":"number node, value=1259","layer":4},{"info":"number node, value=2334","layer":4},{"info":"compute binary expreesion, left_input=1259, right_input=2334, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-191757","layer":3},{"info":"compute unary expreesion, input=-191757, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=575192","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=575192, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11011001010⪠⩆⊳)⫥∨⫟(≮⫘↔101001110001⊘))≭(⇁⨣⪵(≮⫘↔10010110101⫡⨏≮⫘↔110010010001))⨐⩸⫘((≮⫘↔11001001011⩚⊴⇥≮⫘↔10100000001)↬(⨰⫟⨤≮⫘↔10101010000))↬((≮⫘↔10011101011⪄≮⫘↔100100011110)⊦⊿)=NaN","reverse_text":"NaN=((≮⫘↔11011001010⪠⩆⊳)⫥∨⫟(≮⫘↔101001110001⊘))≭(⇁⨣⪵(≮⫘↔10010110101⫡⨏≮⫘↔110010010001))⨐⩸⫘((≮⫘↔11001001011⩚⊴⇥≮⫘↔10100000001)↬(⨰⫟⨤≮⫘↔10101010000))↬((≮⫘↔10011101011⪄≮⫘↔100100011110)⊦⊿)","cot":[{"info":"≮⫘↔11011001010⪠⩆⊳=≮⫘↔0","layer":3},{"info":"≮⫘↔101001110001⊘=≮⫘↔0","layer":3},{"info":"≮⫘↔0⫥∨⫟≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔10010110101⫡⨏≮⫘↔110010010001=≮⫘↔11001110111010","layer":3},{"info":"⇁⨣⪵≮⫘↔11001110111010=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"≮⫘↔11001001011⩚⊴⇥≮⫘↔10100000001=≮⫘↔-101111000101","layer":3},{"info":"⨰⫟⨤≮⫘↔10101010000=NaN","layer":3},{"info":"≮⫘↔-101111000101↬NaN=NaN","layer":2},{"info":"≮⫘↔10011101011⪄≮⫘↔100100011110=≮⫘↔-101110110100001101","layer":3},{"info":"≮⫘↔-101110110100001101⊦⊿=≮⫘↔10001100011011011000","layer":2},{"info":"NaN↬≮⫘↔10001100011011011000=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":581,"expression_no_base_symbol":"((⪲⇎$2161$)⨪↰⇹($1059$⊠≄⫣)⊭↱($1932$↺$1119$)⇷$5384$⪮%⊝$1658$)↙(($2104$⪨≂$1033$)∑⇟⊟(↯⪼$2056$))∼($2553$⇼⇔∾$1284$⨸⪁($1843$⊠≄⫣))","expression":"((⪲⇎≮⫘↔100001110001)⨪↰⇹(≮⫘↔10000100011⊠≄⫣)⊭↱(≮⫘↔11110001100↺≮⫘↔10001011111)⇷≮⫘↔1010100001000⪮%⊝≮⫘↔11001111010)↙((≮⫘↔100000111000⪨≂≮⫘↔10000001001)∑⇟⊟(↯⪼≮⫘↔100000001000))∼(≮⫘↔100111111001⇼⇔∾≮⫘↔10100000100⨸⪁(≮⫘↔11100110011⊠≄⫣))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":21360,"operation_count":15,"complexity_ratio":1424.0,"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":2161,"base":2}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1059,"base":2}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1932,"base":2},"right_expr":{"type":"numeric_atoms","value":1119,"base":2}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5384,"base":2},"right_expr":{"type":"numeric_atoms","value":1658,"base":2}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2104,"base":2},"right_expr":{"type":"numeric_atoms","value":1033,"base":2}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2056,"base":2}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2553,"base":2},"right_expr":{"type":"numeric_atoms","value":1284,"base":2}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1843,"base":2}}}}},"used_operators":["yyfyN0ffXY","COABgblf1C","tmPS8pqC7x","XPYlsWDdGa","DIvbN7qnHd","mp7IySMOzn","7j4O788W3g","IWmyXbctLI","DyGG3AbaNP","U7g4x0WXJJ","sdazOOVcIp","8jW3W4yZS5","g55IO6H4Gj","tifHPKVTfV"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2161","layer":4},{"info":"compute unary expreesion, input=2161, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4322","layer":3},{"info":"number node, value=1059","layer":4},{"info":"compute unary expreesion, input=1059, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4322, 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=4322","layer":2},{"info":"number node, value=1932","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=1932, right_input=1119, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1119","layer":3},{"info":"number node, value=5384","layer":4},{"info":"number node, value=1658","layer":4},{"info":"compute binary expreesion, left_input=5384, right_input=1658, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11084","layer":3},{"info":"compute binary expreesion, left_input=1119, right_input=11084, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=22168","layer":2},{"info":"compute binary expreesion, left_input=4322, right_input=22168, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=35697","layer":1},{"info":"number node, value=2104","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=2104, right_input=1033, 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=2244","layer":3},{"info":"number node, value=2056","layer":4},{"info":"compute unary expreesion, input=2056, 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=2244, right_input=-21, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2553","layer":4},{"info":"number node, value=1284","layer":4},{"info":"compute binary expreesion, left_input=2553, right_input=1284, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1269","layer":3},{"info":"number node, value=1843","layer":4},{"info":"compute unary expreesion, input=1843, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1269, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-2538","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2538, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=35697, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⪲⇎≮⫘↔100001110001)⨪↰⇹(≮⫘↔10000100011⊠≄⫣)⊭↱(≮⫘↔11110001100↺≮⫘↔10001011111)⇷≮⫘↔1010100001000⪮%⊝≮⫘↔11001111010)↙((≮⫘↔100000111000⪨≂≮⫘↔10000001001)∑⇟⊟(↯⪼≮⫘↔100000001000))∼(≮⫘↔100111111001⇼⇔∾≮⫘↔10100000100⨸⪁(≮⫘↔11100110011⊠≄⫣))=NaN","reverse_text":"NaN=((⪲⇎≮⫘↔100001110001)⨪↰⇹(≮⫘↔10000100011⊠≄⫣)⊭↱(≮⫘↔11110001100↺≮⫘↔10001011111)⇷≮⫘↔1010100001000⪮%⊝≮⫘↔11001111010)↙((≮⫘↔100000111000⪨≂≮⫘↔10000001001)∑⇟⊟(↯⪼≮⫘↔100000001000))∼(≮⫘↔100111111001⇼⇔∾≮⫘↔10100000100⨸⪁(≮⫘↔11100110011⊠≄⫣))","cot":[{"info":"⪲⇎≮⫘↔100001110001=≮⫘↔1000011100010","layer":3},{"info":"≮⫘↔10000100011⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔1000011100010⨪↰⇹≮⫘↔0=≮⫘↔1000011100010","layer":2},{"info":"≮⫘↔11110001100↺≮⫘↔10001011111=≮⫘↔10001011111","layer":3},{"info":"≮⫘↔1010100001000⪮%⊝≮⫘↔11001111010=≮⫘↔10101101001100","layer":3},{"info":"≮⫘↔10001011111⇷≮⫘↔10101101001100=≮⫘↔101011010011000","layer":2},{"info":"≮⫘↔1000011100010⊭↱≮⫘↔101011010011000=≮⫘↔1000101101110001","layer":1},{"info":"≮⫘↔100000111000⪨≂≮⫘↔10000001001=≮⫘↔100011000100","layer":3},{"info":"↯⪼≮⫘↔100000001000=≮⫘↔-10101","layer":3},{"info":"≮⫘↔100011000100∑⇟⊟≮⫘↔-10101=NaN","layer":2},{"info":"≮⫘↔100111111001⇼⇔∾≮⫘↔10100000100=≮⫘↔-10011110101","layer":3},{"info":"≮⫘↔11100110011⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔-10011110101⨸⪁≮⫘↔0=≮⫘↔-100111101010","layer":2},{"info":"NaN∼≮⫘↔-100111101010=NaN","layer":1},{"info":"≮⫘↔1000101101110001↙NaN=NaN","layer":0}]}
{"id":582,"expression_no_base_symbol":"($2928$⩚⊴⇥$3095$⨎(⊄⩳↩$1330$))⨪↰⇹($3487$⨎$7866$⨐⩸⫘$2969$⊴$1104$)⋥≓≎(($7068$*$1170$)⋥≓≎$8289$⩷∴$5531$)⇷($1274$≫≃)⊴($2722$⫥∨⫟$2299$)","expression":"(≮⫘↔101101110000⩚⊴⇥≮⫘↔110000010111⨎(⊄⩳↩≮⫘↔10100110010))⨪↰⇹(≮⫘↔110110011111⨎≮⫘↔1111010111010⨐⩸⫘≮⫘↔101110011001⊴≮⫘↔10001010000)⋥≓≎((≮⫘↔1101110011100*≮⫘↔10010010010)⋥≓≎≮⫘↔10000001100001⩷∴≮⫘↔1010110011011)⇷(≮⫘↔10011111010≫≃)⊴(≮⫘↔101010100010⫥∨⫟≮⫘↔100011111011)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10028,"operation_count":15,"complexity_ratio":668.5333333333333,"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":2928,"base":2},"right_expr":{"type":"numeric_atoms","value":3095,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1330,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3487,"base":2},"right_expr":{"type":"numeric_atoms","value":7866,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2969,"base":2},"right_expr":{"type":"numeric_atoms","value":1104,"base":2}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7068,"base":2},"right_expr":{"type":"numeric_atoms","value":1170,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":8289,"base":2},"right_expr":{"type":"numeric_atoms","value":5531,"base":2}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1274,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2722,"base":2},"right_expr":{"type":"numeric_atoms","value":2299,"base":2}}}}},"used_operators":["Qy55tPpLXF","tmPS8pqC7x","rJVOvQCfKK","NTOWxs364D","8w2t5hMYqp","fu6greOZ01","Nsiff2A1zJ","mp7IySMOzn","9HNa5Wba9A","9FxExcQeMw","X99M06cbEe","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2928","layer":4},{"info":"number node, value=3095","layer":4},{"info":"compute binary expreesion, left_input=2928, right_input=3095, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6144","layer":3},{"info":"number node, value=1330","layer":4},{"info":"compute unary expreesion, input=1330, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3990","layer":3},{"info":"compute binary expreesion, left_input=-6144, right_input=-3990, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3990","layer":2},{"info":"number node, value=3487","layer":4},{"info":"number node, value=7866","layer":4},{"info":"compute binary expreesion, left_input=3487, right_input=7866, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7866","layer":3},{"info":"number node, value=2969","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=2969, right_input=1104, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7866, 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=-3990, 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=-3990","layer":1},{"info":"number node, value=7068","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=7068, right_input=1170, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8269560","layer":3},{"info":"number node, value=8289","layer":4},{"info":"number node, value=5531","layer":4},{"info":"compute binary expreesion, left_input=8289, right_input=5531, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5484","layer":3},{"info":"compute binary expreesion, left_input=8269560, right_input=5484, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-8258559","layer":2},{"info":"number node, value=1274","layer":4},{"info":"compute unary expreesion, input=1274, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3949","layer":3},{"info":"number node, value=2722","layer":4},{"info":"number node, value=2299","layer":4},{"info":"compute binary expreesion, left_input=2722, right_input=2299, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3949, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-8258559, 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=-3990, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101101110000⩚⊴⇥≮⫘↔110000010111⨎(⊄⩳↩≮⫘↔10100110010))⨪↰⇹(≮⫘↔110110011111⨎≮⫘↔1111010111010⨐⩸⫘≮⫘↔101110011001⊴≮⫘↔10001010000)⋥≓≎((≮⫘↔1101110011100*≮⫘↔10010010010)⋥≓≎≮⫘↔10000001100001⩷∴≮⫘↔1010110011011)⇷(≮⫘↔10011111010≫≃)⊴(≮⫘↔101010100010⫥∨⫟≮⫘↔100011111011)=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=(≮⫘↔101101110000⩚⊴⇥≮⫘↔110000010111⨎(⊄⩳↩≮⫘↔10100110010))⨪↰⇹(≮⫘↔110110011111⨎≮⫘↔1111010111010⨐⩸⫘≮⫘↔101110011001⊴≮⫘↔10001010000)⋥≓≎((≮⫘↔1101110011100*≮⫘↔10010010010)⋥≓≎≮⫘↔10000001100001⩷∴≮⫘↔1010110011011)⇷(≮⫘↔10011111010≫≃)⊴(≮⫘↔101010100010⫥∨⫟≮⫘↔100011111011)","cot":[{"info":"≮⫘↔101101110000⩚⊴⇥≮⫘↔110000010111=≮⫘↔-1100000000000","layer":3},{"info":"⊄⩳↩≮⫘↔10100110010=≮⫘↔-111110010110","layer":3},{"info":"≮⫘↔-1100000000000⨎≮⫘↔-111110010110=≮⫘↔-111110010110","layer":2},{"info":"≮⫘↔110110011111⨎≮⫘↔1111010111010=≮⫘↔1111010111010","layer":3},{"info":"≮⫘↔101110011001⊴≮⫘↔10001010000=NaN","layer":3},{"info":"≮⫘↔1111010111010⨐⩸⫘NaN=NaN","layer":2},{"info":"≮⫘↔-111110010110⨪↰⇹NaN=≮⫘↔-111110010110","layer":1},{"info":"≮⫘↔1101110011100*≮⫘↔10010010010=≮⫘↔11111100010111011111000","layer":3},{"info":"≮⫘↔10000001100001⩷∴≮⫘↔1010110011011=≮⫘↔1010101101100","layer":3},{"info":"≮⫘↔11111100010111011111000⋥≓≎≮⫘↔1010101101100=≮⫘↔-11111100000001111111111","layer":2},{"info":"≮⫘↔10011111010≫≃=≮⫘↔111101101101","layer":3},{"info":"≮⫘↔101010100010⫥∨⫟≮⫘↔100011111011=NaN","layer":3},{"info":"≮⫘↔111101101101⊴NaN=NaN","layer":2},{"info":"≮⫘↔-11111100000001111111111⇷NaN=NaN","layer":1},{"info":"≮⫘↔-111110010110⋥≓≎NaN=≮⫘↔1000011","layer":0}]}
{"id":583,"expression_no_base_symbol":"(⊄⩳↩($6702$≎⊠⪸$4080$))⊭↱(($1031$⊴$1659$)∧)⊭↱(+⊝⨔($7239$⪘⫢$6123$∑⇟⊟($7624$≧⫂∧$3040$)))","expression":"(⊄⩳↩(≮⫘↔1101000101110≎⊠⪸≮⫘↔111111110000))⊭↱((≮⫘↔10000000111⊴≮⫘↔11001111011)∧)⊭↱(+⊝⨔(≮⫘↔1110001000111⪘⫢≮⫘↔1011111101011∑⇟⊟(≮⫘↔1110111001000≧⫂∧≮⫘↔101111100000)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1995,"operation_count":10,"complexity_ratio":199.5,"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":6702,"base":2},"right_expr":{"type":"numeric_atoms","value":4080,"base":2}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1031,"base":2},"right_expr":{"type":"numeric_atoms","value":1659,"base":2}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":7239,"base":2},"right_expr":{"type":"numeric_atoms","value":6123,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7624,"base":2},"right_expr":{"type":"numeric_atoms","value":3040,"base":2}}}}},"used_operators":["COABgblf1C","8w2t5hMYqp","bJkvcejdHO","z63VuFQld9","Nsiff2A1zJ","DhbWaqg5eL","U7g4x0WXJJ","oacrs7FA3X","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6702","layer":4},{"info":"number node, value=4080","layer":4},{"info":"compute binary expreesion, left_input=6702, right_input=4080, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1735345","layer":3},{"info":"compute unary expreesion, input=1735345, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5206035","layer":2},{"info":"number node, value=1031","layer":4},{"info":"number node, value=1659","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=1659, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=-5206035, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=7239","layer":4},{"info":"number node, value=6123","layer":4},{"info":"compute binary expreesion, left_input=7239, right_input=6123, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=14354","layer":3},{"info":"number node, value=7624","layer":4},{"info":"number node, value=3040","layer":4},{"info":"compute binary expreesion, left_input=7624, right_input=3040, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2567","layer":3},{"info":"compute binary expreesion, left_input=14354, right_input=2567, 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 = 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊄⩳↩(≮⫘↔1101000101110≎⊠⪸≮⫘↔111111110000))⊭↱((≮⫘↔10000000111⊴≮⫘↔11001111011)∧)⊭↱(+⊝⨔(≮⫘↔1110001000111⪘⫢≮⫘↔1011111101011∑⇟⊟(≮⫘↔1110111001000≧⫂∧≮⫘↔101111100000)))=NaN","reverse_text":"NaN=(⊄⩳↩(≮⫘↔1101000101110≎⊠⪸≮⫘↔111111110000))⊭↱((≮⫘↔10000000111⊴≮⫘↔11001111011)∧)⊭↱(+⊝⨔(≮⫘↔1110001000111⪘⫢≮⫘↔1011111101011∑⇟⊟(≮⫘↔1110111001000≧⫂∧≮⫘↔101111100000)))","cot":[{"info":"≮⫘↔1101000101110≎⊠⪸≮⫘↔111111110000=≮⫘↔110100111101010110001","layer":3},{"info":"⊄⩳↩≮⫘↔110100111101010110001=≮⫘↔-10011110111000000010011","layer":2},{"info":"≮⫘↔10000000111⊴≮⫘↔11001111011=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"≮⫘↔-10011110111000000010011⊭↱NaN=NaN","layer":1},{"info":"≮⫘↔1110001000111⪘⫢≮⫘↔1011111101011=≮⫘↔11100000010010","layer":3},{"info":"≮⫘↔1110111001000≧⫂∧≮⫘↔101111100000=≮⫘↔101000000111","layer":3},{"info":"≮⫘↔11100000010010∑⇟⊟≮⫘↔101000000111=NaN","layer":2},{"info":"+⊝⨔NaN=≮⫘↔10111110010","layer":1},{"info":"NaN⊭↱≮⫘↔10111110010=NaN","layer":0}]}
{"id":584,"expression_no_base_symbol":"($1812$⩚⊴⇥$3073$⨸⪁$1055$⨰$6734$)⫸⊐(⨵≀≌$6703$)⪮%⊝($3867$⊦⊿)⫡⨏(⨰⫟⨤($1831$+⇶⊼$1330$∲⫓$3136$⨪↰⇹$2224$))","expression":"(≮⫘↔11100010100⩚⊴⇥≮⫘↔110000000001⨸⪁≮⫘↔10000011111⨰≮⫘↔1101001001110)⫸⊐(⨵≀≌≮⫘↔1101000101111)⪮%⊝(≮⫘↔111100011011⊦⊿)⫡⨏(⨰⫟⨤(≮⫘↔11100100111+⇶⊼≮⫘↔10100110010∲⫓≮⫘↔110001000000⨪↰⇹≮⫘↔100010110000))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4074,"operation_count":12,"complexity_ratio":339.5,"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":1812,"base":2},"right_expr":{"type":"numeric_atoms","value":3073,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1055,"base":2},"right_expr":{"type":"numeric_atoms","value":6734,"base":2}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":6703,"base":2}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3867,"base":2}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1831,"base":2},"right_expr":{"type":"numeric_atoms","value":1330,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3136,"base":2},"right_expr":{"type":"numeric_atoms","value":2224,"base":2}}}}},"used_operators":["QMFrweE19q","mqXw5SEYmG","g55IO6H4Gj","NTOWxs364D","eewbuw0ToL","IWmyXbctLI","srAu1WTS94","14qkJME0vr","Tw270M8GLb","i8ToyICDmI","TpPTUOHfaN","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rJVOvQCfKK"],"result":"≮⫘↔100010010011000011100011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1812","layer":4},{"info":"number node, value=3073","layer":4},{"info":"compute binary expreesion, left_input=1812, right_input=3073, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5006","layer":3},{"info":"number node, value=1055","layer":4},{"info":"number node, value=6734","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=6734, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5669","layer":3},{"info":"compute binary expreesion, left_input=-5006, right_input=-5669, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-21350","layer":2},{"info":"number node, value=6703","layer":4},{"info":"compute unary expreesion, input=6703, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-20109","layer":3},{"info":"number node, value=3867","layer":4},{"info":"compute unary expreesion, input=3867, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-11680","layer":3},{"info":"compute binary expreesion, left_input=-20109, right_input=-11680, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-39902","layer":2},{"info":"compute binary expreesion, left_input=-21350, right_input=-39902, 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=1831","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=1831, right_input=1330, 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=3136","layer":4},{"info":"number node, value=2224","layer":4},{"info":"compute binary expreesion, left_input=3136, right_input=2224, 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=3136","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3136, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=4492662, 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=8990947","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11100010100⩚⊴⇥≮⫘↔110000000001⨸⪁≮⫘↔10000011111⨰≮⫘↔1101001001110)⫸⊐(⨵≀≌≮⫘↔1101000101111)⪮%⊝(≮⫘↔111100011011⊦⊿)⫡⨏(⨰⫟⨤(≮⫘↔11100100111+⇶⊼≮⫘↔10100110010∲⫓≮⫘↔110001000000⨪↰⇹≮⫘↔100010110000))=≮⫘↔100010010011000011100011","reverse_text":"≮⫘↔100010010011000011100011=(≮⫘↔11100010100⩚⊴⇥≮⫘↔110000000001⨸⪁≮⫘↔10000011111⨰≮⫘↔1101001001110)⫸⊐(⨵≀≌≮⫘↔1101000101111)⪮%⊝(≮⫘↔111100011011⊦⊿)⫡⨏(⨰⫟⨤(≮⫘↔11100100111+⇶⊼≮⫘↔10100110010∲⫓≮⫘↔110001000000⨪↰⇹≮⫘↔100010110000))","cot":[{"info":"≮⫘↔11100010100⩚⊴⇥≮⫘↔110000000001=≮⫘↔-1001110001110","layer":3},{"info":"≮⫘↔10000011111⨰≮⫘↔1101001001110=≮⫘↔-1011000100101","layer":3},{"info":"≮⫘↔-1001110001110⨸⪁≮⫘↔-1011000100101=≮⫘↔-101001101100110","layer":2},{"info":"⨵≀≌≮⫘↔1101000101111=≮⫘↔-100111010001101","layer":3},{"info":"≮⫘↔111100011011⊦⊿=≮⫘↔-10110110100000","layer":3},{"info":"≮⫘↔-100111010001101⪮%⊝≮⫘↔-10110110100000=≮⫘↔-1001101111011110","layer":2},{"info":"≮⫘↔-101001101100110⫸⊐≮⫘↔-1001101111011110=≮⫘↔1111001000","layer":1},{"info":"≮⫘↔11100100111+⇶⊼≮⫘↔10100110010=NaN","layer":3},{"info":"≮⫘↔110001000000⨪↰⇹≮⫘↔100010110000=≮⫘↔110001000000","layer":3},{"info":"NaN∲⫓≮⫘↔110001000000=≮⫘↔0","layer":2},{"info":"⨰⫟⨤≮⫘↔0=≮⫘↔10001001000110101110110","layer":1},{"info":"≮⫘↔1111001000⫡⨏≮⫘↔10001001000110101110110=≮⫘↔100010010011000011100011","layer":0}]}
{"id":585,"expression_no_base_symbol":"(⇁⨣⪵($1977$∲⫓$1424$))⩷∴($4470$∸)↬(∥⊫$3302$)⨎((≦∁$1617$)⨰$3672$⊴$2053$)∼(($2631$⊪)⨸⪁($1632$⨁⊸⫻))","expression":"(⇁⨣⪵(≮⫘↔11110111001∲⫓≮⫘↔10110010000))⩷∴(≮⫘↔1000101110110∸)↬(∥⊫≮⫘↔110011100110)⨎((≦∁≮⫘↔11001010001)⨰≮⫘↔111001011000⊴≮⫘↔100000000101)∼((≮⫘↔101001000111⊪)⨸⪁(≮⫘↔11001100000⨁⊸⫻))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2373,"operation_count":14,"complexity_ratio":169.5,"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":1977,"base":2},"right_expr":{"type":"numeric_atoms","value":1424,"base":2}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":4470,"base":2}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3302,"base":2}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1617,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3672,"base":2},"right_expr":{"type":"numeric_atoms","value":2053,"base":2}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2631,"base":2}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1632,"base":2}}}}},"used_operators":["rJVOvQCfKK","9FxExcQeMw","inkyxCbjAn","i8ToyICDmI","B5M0gjZbta","o20kRiQErp","P8v4zCKN1o","DyGG3AbaNP","eewbuw0ToL","9ICcGScMcE","Nsiff2A1zJ","g55IO6H4Gj","zVYPLywUTj","glklzrTFfD"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1977","layer":4},{"info":"number node, value=1424","layer":4},{"info":"compute binary expreesion, left_input=1977, right_input=1424, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":2},{"info":"number node, value=4470","layer":4},{"info":"compute unary expreesion, input=4470, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=3302","layer":4},{"info":"compute unary expreesion, input=3302, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4170","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=4170, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=1617","layer":4},{"info":"compute unary expreesion, input=1617, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1617","layer":3},{"info":"number node, value=3672","layer":4},{"info":"number node, value=2053","layer":4},{"info":"compute binary expreesion, left_input=3672, right_input=2053, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1617, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=2631","layer":4},{"info":"compute unary expreesion, input=2631, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=1632","layer":4},{"info":"compute unary expreesion, input=1632, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1632","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1632, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=3264","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3264, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⇁⨣⪵(≮⫘↔11110111001∲⫓≮⫘↔10110010000))⩷∴(≮⫘↔1000101110110∸)↬(∥⊫≮⫘↔110011100110)⨎((≦∁≮⫘↔11001010001)⨰≮⫘↔111001011000⊴≮⫘↔100000000101)∼((≮⫘↔101001000111⊪)⨸⪁(≮⫘↔11001100000⨁⊸⫻))=NaN","reverse_text":"NaN=(⇁⨣⪵(≮⫘↔11110111001∲⫓≮⫘↔10110010000))⩷∴(≮⫘↔1000101110110∸)↬(∥⊫≮⫘↔110011100110)⨎((≦∁≮⫘↔11001010001)⨰≮⫘↔111001011000⊴≮⫘↔100000000101)∼((≮⫘↔101001000111⊪)⨸⪁(≮⫘↔11001100000⨁⊸⫻))","cot":[{"info":"≮⫘↔11110111001∲⫓≮⫘↔10110010000=≮⫘↔0","layer":3},{"info":"⇁⨣⪵≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔1000101110110∸=≮⫘↔10110001","layer":3},{"info":"∥⊫≮⫘↔110011100110=≮⫘↔1000001001010","layer":3},{"info":"≮⫘↔10110001↬≮⫘↔1000001001010=NaN","layer":2},{"info":"≮⫘↔0⩷∴NaN=NaN","layer":1},{"info":"≦∁≮⫘↔11001010001=≮⫘↔11001010001","layer":3},{"info":"≮⫘↔111001011000⊴≮⫘↔100000000101=NaN","layer":3},{"info":"≮⫘↔11001010001⨰NaN=NaN","layer":2},{"info":"≮⫘↔101001000111⊪=≮⫘↔0","layer":3},{"info":"≮⫘↔11001100000⨁⊸⫻=≮⫘↔11001100000","layer":3},{"info":"≮⫘↔0⨸⪁≮⫘↔11001100000=≮⫘↔110011000000","layer":2},{"info":"NaN∼≮⫘↔110011000000=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":586,"expression_no_base_symbol":"($6304$∀⇚≩$7383$≫≃)⊭↱($1012$⪄$2627$)≹⇙⪍($1205$+⇶⊼$1935$)⊭↱($5148$⋓$1607$)⪛($4462$⋳⪒$2119$)≭((∂$2291$)⫥∨⫟(⨈⫕$2352$))","expression":"(≮⫘↔1100010100000∀⇚≩≮⫘↔1110011010111≫≃)⊭↱(≮⫘↔1111110100⪄≮⫘↔101001000011)≹⇙⪍(≮⫘↔10010110101+⇶⊼≮⫘↔11110001111)⊭↱(≮⫘↔1010000011100⋓≮⫘↔11001000111)⪛(≮⫘↔1000101101110⋳⪒≮⫘↔100001000111)≭((∂≮⫘↔100011110011)⫥∨⫟(⨈⫕≮⫘↔100100110000))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":44810,"operation_count":14,"complexity_ratio":3200.714285714286,"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":6304,"base":2},"right_expr":{"type":"numeric_atoms","value":7383,"base":2}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1012,"base":2},"right_expr":{"type":"numeric_atoms","value":2627,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1205,"base":2},"right_expr":{"type":"numeric_atoms","value":1935,"base":2}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5148,"base":2},"right_expr":{"type":"numeric_atoms","value":1607,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4462,"base":2},"right_expr":{"type":"numeric_atoms","value":2119,"base":2}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2291,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2352,"base":2}}}}},"used_operators":["COABgblf1C","X99M06cbEe","LRNGc0VcxI","AHs5Up7iyr","SUmda5xLS4","TpPTUOHfaN","rxpJgHHUmx","uFcxV4UQCh","T2fj7uvVaJ","12rbrZMWeM","KYD54nUTWz","Uaa54Peajs","megm06wKyl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","X99M06cbEe","dWAJyo7jo9","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6304","layer":4},{"info":"number node, value=7383","layer":4},{"info":"compute binary expreesion, left_input=6304, right_input=7383, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":2},{"info":"number node, value=1012","layer":4},{"info":"number node, value=2627","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=2627, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-156373","layer":3},{"info":"number node, value=1205","layer":4},{"info":"number node, value=1935","layer":4},{"info":"compute binary expreesion, left_input=1205, right_input=1935, 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=-156373, 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=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=5148","layer":4},{"info":"number node, value=1607","layer":4},{"info":"compute binary expreesion, left_input=5148, right_input=1607, 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=4462","layer":4},{"info":"number node, value=2119","layer":4},{"info":"compute binary expreesion, left_input=4462, right_input=2119, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6518","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6518, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":2},{"info":"number node, value=2291","layer":4},{"info":"compute unary expreesion, input=2291, 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=2352","layer":4},{"info":"compute unary expreesion, input=2352, 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=nan, right_input=-21, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":"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":0}],"base":2,"result_base":2,"text":"(≮⫘↔1100010100000∀⇚≩≮⫘↔1110011010111≫≃)⊭↱(≮⫘↔1111110100⪄≮⫘↔101001000011)≹⇙⪍(≮⫘↔10010110101+⇶⊼≮⫘↔11110001111)⊭↱(≮⫘↔1010000011100⋓≮⫘↔11001000111)⪛(≮⫘↔1000101101110⋳⪒≮⫘↔100001000111)≭((∂≮⫘↔100011110011)⫥∨⫟(⨈⫕≮⫘↔100100110000))=NaN","reverse_text":"NaN=(≮⫘↔1100010100000∀⇚≩≮⫘↔1110011010111≫≃)⊭↱(≮⫘↔1111110100⪄≮⫘↔101001000011)≹⇙⪍(≮⫘↔10010110101+⇶⊼≮⫘↔11110001111)⊭↱(≮⫘↔1010000011100⋓≮⫘↔11001000111)⪛(≮⫘↔1000101101110⋳⪒≮⫘↔100001000111)≭((∂≮⫘↔100011110011)⫥∨⫟(⨈⫕≮⫘↔100100110000))","cot":[{"info":"≮⫘↔1100010100000∀⇚≩≮⫘↔1110011010111=NaN","layer":3},{"info":"NaN≫≃=NaN","layer":2},{"info":"≮⫘↔1111110100⪄≮⫘↔101001000011=≮⫘↔-100110001011010101","layer":3},{"info":"≮⫘↔10010110101+⇶⊼≮⫘↔11110001111=NaN","layer":3},{"info":"≮⫘↔-100110001011010101≹⇙⪍NaN=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"≮⫘↔1010000011100⋓≮⫘↔11001000111=≮⫘↔0","layer":3},{"info":"≮⫘↔1000101101110⋳⪒≮⫘↔100001000111=≮⫘↔1100101110110","layer":3},{"info":"≮⫘↔0⪛≮⫘↔1100101110110=≮⫘↔0","layer":2},{"info":"∂≮⫘↔100011110011=NaN","layer":3},{"info":"⨈⫕≮⫘↔100100110000=≮⫘↔-10101","layer":3},{"info":"NaN⫥∨⫟≮⫘↔-10101=NaN","layer":2},{"info":"≮⫘↔0≭NaN=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":587,"expression_no_base_symbol":"(⋗⩬⋾($5032$↺$3662$)⪛($1372$⪒$1007$))⨵⪆(⫛⫱⨽(↔$2818$))-($5163$⋷$6754$)⪘⫢($1884$≭$1928$)","expression":"(⋗⩬⋾(≮⫘↔1001110101000↺≮⫘↔111001001110)⪛(≮⫘↔10101011100⪒≮⫘↔1111101111))⨵⪆(⫛⫱⨽(↔≮⫘↔101100000010))-(≮⫘↔1010000101011⋷≮⫘↔1101001100010)⪘⫢(≮⫘↔11101011100≭≮⫘↔11110001000)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1456,"operation_count":11,"complexity_ratio":132.36363636363637,"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":5032,"base":2},"right_expr":{"type":"numeric_atoms","value":3662,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1372,"base":2},"right_expr":{"type":"numeric_atoms","value":1007,"base":2}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2818,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5163,"base":2},"right_expr":{"type":"numeric_atoms","value":6754,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1884,"base":2},"right_expr":{"type":"numeric_atoms","value":1928,"base":2}}}}},"used_operators":["2DQ55sFlQl","DpFCA1CohY","uFcxV4UQCh","7j4O788W3g","f6k1SAg4EE","rysDP5nf3Z","DlLNRPXxWL","ruOEQAzv1W","oacrs7FA3X","23Mk6UjR3U","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5032","layer":4},{"info":"number node, value=3662","layer":4},{"info":"compute binary expreesion, left_input=5032, right_input=3662, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3662","layer":3},{"info":"number node, value=1372","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=1372, right_input=1007, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2379","layer":3},{"info":"compute binary expreesion, left_input=3662, right_input=-2379, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-1096","layer":2},{"info":"compute unary expreesion, input=-1096, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=3288","layer":1},{"info":"number node, value=2818","layer":4},{"info":"compute unary expreesion, input=2818, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2545","layer":3},{"info":"compute unary expreesion, input=-2545, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=5163","layer":4},{"info":"number node, value=6754","layer":4},{"info":"compute binary expreesion, left_input=5163, right_input=6754, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8345","layer":3},{"info":"number node, value=1884","layer":4},{"info":"number node, value=1928","layer":4},{"info":"compute binary expreesion, left_input=1884, right_input=1928, 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=8345, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3288, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(⋗⩬⋾(≮⫘↔1001110101000↺≮⫘↔111001001110)⪛(≮⫘↔10101011100⪒≮⫘↔1111101111))⨵⪆(⫛⫱⨽(↔≮⫘↔101100000010))-(≮⫘↔1010000101011⋷≮⫘↔1101001100010)⪘⫢(≮⫘↔11101011100≭≮⫘↔11110001000)=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(⋗⩬⋾(≮⫘↔1001110101000↺≮⫘↔111001001110)⪛(≮⫘↔10101011100⪒≮⫘↔1111101111))⨵⪆(⫛⫱⨽(↔≮⫘↔101100000010))-(≮⫘↔1010000101011⋷≮⫘↔1101001100010)⪘⫢(≮⫘↔11101011100≭≮⫘↔11110001000)","cot":[{"info":"≮⫘↔1001110101000↺≮⫘↔111001001110=≮⫘↔111001001110","layer":3},{"info":"≮⫘↔10101011100⪒≮⫘↔1111101111=≮⫘↔-100101001011","layer":3},{"info":"≮⫘↔111001001110⪛≮⫘↔-100101001011=≮⫘↔-10001001000","layer":2},{"info":"⋗⩬⋾≮⫘↔-10001001000=≮⫘↔110011011000","layer":1},{"info":"↔≮⫘↔101100000010=≮⫘↔-100111110001","layer":3},{"info":"⫛⫱⨽≮⫘↔-100111110001=≮⫘↔0","layer":2},{"info":"≮⫘↔1010000101011⋷≮⫘↔1101001100010=≮⫘↔10000010011001","layer":3},{"info":"≮⫘↔11101011100≭≮⫘↔11110001000=NaN","layer":3},{"info":"≮⫘↔10000010011001⪘⫢NaN=NaN","layer":2},{"info":"≮⫘↔0-NaN=NaN","layer":1},{"info":"≮⫘↔110011011000⨵⪆NaN=≮⫘↔10100000","layer":0}]}
{"id":588,"expression_no_base_symbol":"(≉(⨰⫟⨤$2871$)∀⇚≩($2029$⇼⇔∾$3621$))⨟⋌⩍((($3215$⩨$1052$)⨐⩸⫘$4047$∀⇚≩$3651$)⨰($1859$+$1086$)⪮%⊝(↯⪼$1089$))","expression":"(≉(⨰⫟⨤≮⫘↔101100110111)∀⇚≩(≮⫘↔11111101101⇼⇔∾≮⫘↔111000100101))⨟⋌⩍(((≮⫘↔110010001111⩨≮⫘↔10000011100)⨐⩸⫘≮⫘↔111111001111∀⇚≩≮⫘↔111001000011)⨰(≮⫘↔11101000011+≮⫘↔10000111110)⪮%⊝(↯⪼≮⫘↔10001000001))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":39030,"operation_count":12,"complexity_ratio":3252.5,"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":2871,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2029,"base":2},"right_expr":{"type":"numeric_atoms","value":3621,"base":2}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3215,"base":2},"right_expr":{"type":"numeric_atoms","value":1052,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4047,"base":2},"right_expr":{"type":"numeric_atoms","value":3651,"base":2}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1859,"base":2},"right_expr":{"type":"numeric_atoms","value":1086,"base":2}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1089,"base":2}}}}},"used_operators":["rGHVDoGpnC","e1ybzncUwg","LRNGc0VcxI","Tw270M8GLb","tifHPKVTfV","eewbuw0ToL","fu6greOZ01","2DlMacCsIx","IWmyXbctLI","W4YGzv6Whe","8jW3W4yZS5"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2871","layer":4},{"info":"compute unary expreesion, input=2871, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=2029","layer":4},{"info":"number node, value=3621","layer":4},{"info":"compute binary expreesion, left_input=2029, right_input=3621, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1592","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1592, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"number node, value=3215","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=3215, right_input=1052, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=4047","layer":4},{"info":"number node, value=3651","layer":4},{"info":"compute binary expreesion, left_input=4047, right_input=3651, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 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=1859","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=1859, right_input=1086, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2945","layer":3},{"info":"number node, value=1089","layer":4},{"info":"compute unary expreesion, input=1089, 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=2945, right_input=-21, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6206","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6206, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≉(⨰⫟⨤≮⫘↔101100110111)∀⇚≩(≮⫘↔11111101101⇼⇔∾≮⫘↔111000100101))⨟⋌⩍(((≮⫘↔110010001111⩨≮⫘↔10000011100)⨐⩸⫘≮⫘↔111111001111∀⇚≩≮⫘↔111001000011)⨰(≮⫘↔11101000011+≮⫘↔10000111110)⪮%⊝(↯⪼≮⫘↔10001000001))=NaN","reverse_text":"NaN=(≉(⨰⫟⨤≮⫘↔101100110111)∀⇚≩(≮⫘↔11111101101⇼⇔∾≮⫘↔111000100101))⨟⋌⩍(((≮⫘↔110010001111⩨≮⫘↔10000011100)⨐⩸⫘≮⫘↔111111001111∀⇚≩≮⫘↔111001000011)⨰(≮⫘↔11101000011+≮⫘↔10000111110)⪮%⊝(↯⪼≮⫘↔10001000001))","cot":[{"info":"⨰⫟⨤≮⫘↔101100110111=NaN","layer":3},{"info":"≮⫘↔11111101101⇼⇔∾≮⫘↔111000100101=≮⫘↔11000111000","layer":3},{"info":"NaN∀⇚≩≮⫘↔11000111000=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"≮⫘↔110010001111⩨≮⫘↔10000011100=≮⫘↔0","layer":3},{"info":"≮⫘↔111111001111∀⇚≩≮⫘↔111001000011=NaN","layer":3},{"info":"≮⫘↔0⨐⩸⫘NaN=NaN","layer":2},{"info":"≮⫘↔11101000011+≮⫘↔10000111110=≮⫘↔101110000001","layer":3},{"info":"↯⪼≮⫘↔10001000001=≮⫘↔-10101","layer":3},{"info":"≮⫘↔101110000001⪮%⊝≮⫘↔-10101=≮⫘↔1100000111110","layer":2},{"info":"NaN⨰≮⫘↔1100000111110=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":589,"expression_no_base_symbol":"((⪲⇎$2191$⨟⋌⩍$7172$)*$3160$⨪↰⇹$4309$∑⇟⊟(⩦⩻⨪$5436$))⨟⋌⩍(($1992$⪒$2469$)⋝⋈⪟(↥$1615$)↺($1347$⩚⊴⇥$3991$⫸⊐(↯⪼$1556$)))","expression":"((⪲⇎≮⫘↔100010001111⨟⋌⩍≮⫘↔1110000000100)*≮⫘↔110001011000⨪↰⇹≮⫘↔1000011010101∑⇟⊟(⩦⩻⨪≮⫘↔1010100111100))⨟⋌⩍((≮⫘↔11111001000⪒≮⫘↔100110100101)⋝⋈⪟(↥≮⫘↔11001001111)↺(≮⫘↔10101000011⩚⊴⇥≮⫘↔111110010111⫸⊐(↯⪼≮⫘↔11000010100)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7117,"operation_count":14,"complexity_ratio":508.35714285714283,"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":2191,"base":2},"right_expr":{"type":"numeric_atoms","value":7172,"base":2}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3160,"base":2},"right_expr":{"type":"numeric_atoms","value":4309,"base":2}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5436,"base":2}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1992,"base":2},"right_expr":{"type":"numeric_atoms","value":2469,"base":2}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1615,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1347,"base":2},"right_expr":{"type":"numeric_atoms","value":3991,"base":2}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1556,"base":2}}}}},"used_operators":["rGHVDoGpnC","9HNa5Wba9A","XPYlsWDdGa","U7g4x0WXJJ","tmPS8pqC7x","2td37pGCOC","7j4O788W3g","2DDjHMKMc0","f6k1SAg4EE","A8NUZmVepG","mqXw5SEYmG","NTOWxs364D","8jW3W4yZS5"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2191","layer":4},{"info":"number node, value=7172","layer":4},{"info":"compute binary expreesion, left_input=2191, right_input=7172, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":2},{"info":"number node, value=3160","layer":4},{"info":"number node, value=4309","layer":4},{"info":"compute binary expreesion, left_input=3160, right_input=4309, 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=3160","layer":3},{"info":"number node, value=5436","layer":4},{"info":"compute unary expreesion, input=5436, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5436","layer":3},{"info":"compute binary expreesion, left_input=3160, right_input=5436, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1992","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=1992, right_input=2469, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4461","layer":3},{"info":"number node, value=1615","layer":4},{"info":"compute unary expreesion, input=1615, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=34","layer":3},{"info":"compute binary expreesion, left_input=-4461, right_input=34, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-4461","layer":2},{"info":"number node, value=1347","layer":4},{"info":"number node, value=3991","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=3991, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5459","layer":3},{"info":"number node, value=1556","layer":4},{"info":"compute unary expreesion, input=1556, 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=-5459, right_input=-21, 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=-4461, right_input=968, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⪲⇎≮⫘↔100010001111⨟⋌⩍≮⫘↔1110000000100)*≮⫘↔110001011000⨪↰⇹≮⫘↔1000011010101∑⇟⊟(⩦⩻⨪≮⫘↔1010100111100))⨟⋌⩍((≮⫘↔11111001000⪒≮⫘↔100110100101)⋝⋈⪟(↥≮⫘↔11001001111)↺(≮⫘↔10101000011⩚⊴⇥≮⫘↔111110010111⫸⊐(↯⪼≮⫘↔11000010100)))=NaN","reverse_text":"NaN=((⪲⇎≮⫘↔100010001111⨟⋌⩍≮⫘↔1110000000100)*≮⫘↔110001011000⨪↰⇹≮⫘↔1000011010101∑⇟⊟(⩦⩻⨪≮⫘↔1010100111100))⨟⋌⩍((≮⫘↔11111001000⪒≮⫘↔100110100101)⋝⋈⪟(↥≮⫘↔11001001111)↺(≮⫘↔10101000011⩚⊴⇥≮⫘↔111110010111⫸⊐(↯⪼≮⫘↔11000010100)))","cot":[{"info":"≮⫘↔100010001111⨟⋌⩍≮⫘↔1110000000100=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"≮⫘↔110001011000⨪↰⇹≮⫘↔1000011010101=≮⫘↔110001011000","layer":3},{"info":"⩦⩻⨪≮⫘↔1010100111100=≮⫘↔1010100111100","layer":3},{"info":"≮⫘↔110001011000∑⇟⊟≮⫘↔1010100111100=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"≮⫘↔11111001000⪒≮⫘↔100110100101=≮⫘↔-1000101101101","layer":3},{"info":"↥≮⫘↔11001001111=≮⫘↔100010","layer":3},{"info":"≮⫘↔-1000101101101⋝⋈⪟≮⫘↔100010=≮⫘↔-1000101101101","layer":2},{"info":"≮⫘↔10101000011⩚⊴⇥≮⫘↔111110010111=≮⫘↔-1010101010011","layer":3},{"info":"↯⪼≮⫘↔11000010100=≮⫘↔-10101","layer":3},{"info":"≮⫘↔-1010101010011⫸⊐≮⫘↔-10101=≮⫘↔1111001000","layer":2},{"info":"≮⫘↔-1000101101101↺≮⫘↔1111001000=≮⫘↔1111001000","layer":1},{"info":"NaN⨟⋌⩍≮⫘↔1111001000=NaN","layer":0}]}
{"id":590,"expression_no_base_symbol":"$2674$⨽$4010$⨸⪁$1508$⫥∨⫟$3029$⇼⇔∾(⊥$2219$)⪛($1263$⨸⪁$2660$)⩨(-($3746$⪛$1002$⪠⩆⊳))","expression":"≮⫘↔101001110010⨽≮⫘↔111110101010⨸⪁≮⫘↔10111100100⫥∨⫟≮⫘↔101111010101⇼⇔∾(⊥≮⫘↔100010101011)⪛(≮⫘↔10011101111⨸⪁≮⫘↔101001100100)⩨(-(≮⫘↔111010100010⪛≮⫘↔1111101010⪠⩆⊳))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2867,"operation_count":11,"complexity_ratio":260.6363636363636,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2674,"base":2},"right_expr":{"type":"numeric_atoms","value":4010,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1508,"base":2},"right_expr":{"type":"numeric_atoms","value":3029,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2219,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1263,"base":2},"right_expr":{"type":"numeric_atoms","value":2660,"base":2}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3746,"base":2},"right_expr":{"type":"numeric_atoms","value":1002,"base":2}}}}},"used_operators":["2DlMacCsIx","tifHPKVTfV","g55IO6H4Gj","8HhzD0ZcuI","KYD54nUTWz","uFcxV4UQCh","Q3PJZHRvZv","t8gj7n24qd","JLbD19bQDL"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2674","layer":4},{"info":"number node, value=4010","layer":4},{"info":"compute binary expreesion, left_input=2674, right_input=4010, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-21461544","layer":3},{"info":"number node, value=1508","layer":4},{"info":"number node, value=3029","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=3029, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21461544, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=2219","layer":4},{"info":"compute unary expreesion, input=2219, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1263","layer":4},{"info":"number node, value=2660","layer":4},{"info":"compute binary expreesion, left_input=1263, right_input=2660, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7846","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7846, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=3746","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=3746, right_input=1002, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=740","layer":3},{"info":"compute unary expreesion, input=740, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = t8gj7n24qd, unary_op_definition = 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔101001110010⨽≮⫘↔111110101010⨸⪁≮⫘↔10111100100⫥∨⫟≮⫘↔101111010101⇼⇔∾(⊥≮⫘↔100010101011)⪛(≮⫘↔10011101111⨸⪁≮⫘↔101001100100)⩨(-(≮⫘↔111010100010⪛≮⫘↔1111101010⪠⩆⊳))=NaN","reverse_text":"NaN=≮⫘↔101001110010⨽≮⫘↔111110101010⨸⪁≮⫘↔10111100100⫥∨⫟≮⫘↔101111010101⇼⇔∾(⊥≮⫘↔100010101011)⪛(≮⫘↔10011101111⨸⪁≮⫘↔101001100100)⩨(-(≮⫘↔111010100010⪛≮⫘↔1111101010⪠⩆⊳))","cot":[{"info":"≮⫘↔101001110010⨽≮⫘↔111110101010=≮⫘↔-1010001110111101000101000","layer":3},{"info":"≮⫘↔10111100100⫥∨⫟≮⫘↔101111010101=NaN","layer":3},{"info":"≮⫘↔-1010001110111101000101000⨸⪁NaN=NaN","layer":2},{"info":"⊥≮⫘↔100010101011=NaN","layer":3},{"info":"≮⫘↔10011101111⨸⪁≮⫘↔101001100100=≮⫘↔1111010100110","layer":3},{"info":"NaN⪛≮⫘↔1111010100110=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"≮⫘↔111010100010⪛≮⫘↔1111101010=≮⫘↔1011100100","layer":3},{"info":"≮⫘↔1011100100⪠⩆⊳=≮⫘↔0","layer":2},{"info":"-≮⫘↔0=≮⫘↔0","layer":1},{"info":"NaN⩨≮⫘↔0=NaN","layer":0}]}
{"id":591,"expression_no_base_symbol":"((≦∁$4690$)⇼⇔∾(⫛⫱⨽$4989$)-(+⊝⨔($1982$∀⇚≩$3153$)))≧⫂∧($1851$⨪↰⇹$1011$⨳⩥⨓($1172$⪨≂$4379$)⨵⪆($1055$⊘)∑⇟⊟(⨵≀≌$4660$))","expression":"((≦∁≮⫘↔1001001010010)⇼⇔∾(⫛⫱⨽≮⫘↔1001101111101)-(+⊝⨔(≮⫘↔11110111110∀⇚≩≮⫘↔110001010001)))≧⫂∧(≮⫘↔11100111011⨪↰⇹≮⫘↔1111110011⨳⩥⨓(≮⫘↔10010010100⪨≂≮⫘↔1000100011011)⨵⪆(≮⫘↔10000011111⊘)∑⇟⊟(⨵≀≌≮⫘↔1001000110100))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":17204,"operation_count":14,"complexity_ratio":1228.857142857143,"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":4690,"base":2}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4989,"base":2}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1982,"base":2},"right_expr":{"type":"numeric_atoms","value":3153,"base":2}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1851,"base":2},"right_expr":{"type":"numeric_atoms","value":1011,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1172,"base":2},"right_expr":{"type":"numeric_atoms","value":4379,"base":2}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1055,"base":2}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4660,"base":2}}}}},"used_operators":["Ph9nP6C5qx","rysDP5nf3Z","tifHPKVTfV","9ICcGScMcE","DlLNRPXxWL","DhbWaqg5eL","LRNGc0VcxI","2DQ55sFlQl","nCS4ZIUYfx","tmPS8pqC7x","sdazOOVcIp","U7g4x0WXJJ","gu96TGCTMs","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"≮⫘↔-100111001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4690","layer":4},{"info":"compute unary expreesion, input=4690, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4690","layer":3},{"info":"number node, value=4989","layer":4},{"info":"compute unary expreesion, input=4989, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4690, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4690","layer":2},{"info":"number node, value=1982","layer":4},{"info":"number node, value=3153","layer":4},{"info":"compute binary expreesion, left_input=1982, right_input=3153, 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 = 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=-4690, right_input=1522, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-6212","layer":1},{"info":"number node, value=1851","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=1851, right_input=1011, 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=1851","layer":3},{"info":"number node, value=1172","layer":4},{"info":"number node, value=4379","layer":4},{"info":"compute binary expreesion, left_input=1172, right_input=4379, 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=-6312","layer":3},{"info":"compute binary expreesion, left_input=1851, right_input=-6312, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-8163","layer":2},{"info":"number node, value=1055","layer":4},{"info":"compute unary expreesion, input=1055, 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=4660","layer":4},{"info":"compute unary expreesion, input=4660, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-13980","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-13980, 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=-8163, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-6212, right_input=160, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-313","layer":0}],"base":2,"result_base":2,"text":"((≦∁≮⫘↔1001001010010)⇼⇔∾(⫛⫱⨽≮⫘↔1001101111101)-(+⊝⨔(≮⫘↔11110111110∀⇚≩≮⫘↔110001010001)))≧⫂∧(≮⫘↔11100111011⨪↰⇹≮⫘↔1111110011⨳⩥⨓(≮⫘↔10010010100⪨≂≮⫘↔1000100011011)⨵⪆(≮⫘↔10000011111⊘)∑⇟⊟(⨵≀≌≮⫘↔1001000110100))=≮⫘↔-100111001","reverse_text":"≮⫘↔-100111001=((≦∁≮⫘↔1001001010010)⇼⇔∾(⫛⫱⨽≮⫘↔1001101111101)-(+⊝⨔(≮⫘↔11110111110∀⇚≩≮⫘↔110001010001)))≧⫂∧(≮⫘↔11100111011⨪↰⇹≮⫘↔1111110011⨳⩥⨓(≮⫘↔10010010100⪨≂≮⫘↔1000100011011)⨵⪆(≮⫘↔10000011111⊘)∑⇟⊟(⨵≀≌≮⫘↔1001000110100))","cot":[{"info":"≦∁≮⫘↔1001001010010=≮⫘↔1001001010010","layer":3},{"info":"⫛⫱⨽≮⫘↔1001101111101=≮⫘↔0","layer":3},{"info":"≮⫘↔1001001010010⇼⇔∾≮⫘↔0=≮⫘↔-1001001010010","layer":2},{"info":"≮⫘↔11110111110∀⇚≩≮⫘↔110001010001=NaN","layer":3},{"info":"+⊝⨔NaN=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔-1001001010010-≮⫘↔10111110010=≮⫘↔-1100001000100","layer":1},{"info":"≮⫘↔11100111011⨪↰⇹≮⫘↔1111110011=≮⫘↔11100111011","layer":3},{"info":"≮⫘↔10010010100⪨≂≮⫘↔1000100011011=≮⫘↔-1100010101000","layer":3},{"info":"≮⫘↔11100111011⨳⩥⨓≮⫘↔-1100010101000=≮⫘↔-1111111100011","layer":2},{"info":"≮⫘↔10000011111⊘=≮⫘↔0","layer":3},{"info":"⨵≀≌≮⫘↔1001000110100=≮⫘↔-11011010011100","layer":3},{"info":"≮⫘↔0∑⇟⊟≮⫘↔-11011010011100=NaN","layer":2},{"info":"≮⫘↔-1111111100011⨵⪆NaN=≮⫘↔10100000","layer":1},{"info":"≮⫘↔-1100001000100≧⫂∧≮⫘↔10100000=≮⫘↔-100111001","layer":0}]}
{"id":592,"expression_no_base_symbol":"((($2766$≋⫹)⨵⪆(⨈⫕$2387$))⊘)⪨≂($2085$∑⇟⊟$6439$∑⇟⊟(⫛⫱⨽$3516$)≋⫹)","expression":"(((≮⫘↔101011001110≋⫹)⨵⪆(⨈⫕≮⫘↔100101010011))⊘)⪨≂(≮⫘↔100000100101∑⇟⊟≮⫘↔1100100100111∑⇟⊟(⫛⫱⨽≮⫘↔110110111100)≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1841,"operation_count":9,"complexity_ratio":204.55555555555554,"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":2766,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2387,"base":2}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2085,"base":2},"right_expr":{"type":"numeric_atoms","value":6439,"base":2}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3516,"base":2}}}}},"used_operators":["sdazOOVcIp","gu96TGCTMs","2DQ55sFlQl","N41Kp7NANJ","megm06wKyl","U7g4x0WXJJ","DlLNRPXxWL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2766","layer":4},{"info":"compute unary expreesion, input=2766, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-5532","layer":3},{"info":"number node, value=2387","layer":4},{"info":"compute unary expreesion, input=2387, 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=-5532, right_input=-21, 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 = 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":"number node, value=2085","layer":4},{"info":"number node, value=6439","layer":4},{"info":"compute binary expreesion, left_input=2085, right_input=6439, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3516","layer":4},{"info":"compute unary expreesion, input=3516, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', 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":2,"result_base":2,"text":"(((≮⫘↔101011001110≋⫹)⨵⪆(⨈⫕≮⫘↔100101010011))⊘)⪨≂(≮⫘↔100000100101∑⇟⊟≮⫘↔1100100100111∑⇟⊟(⫛⫱⨽≮⫘↔110110111100)≋⫹)=NaN","reverse_text":"NaN=(((≮⫘↔101011001110≋⫹)⨵⪆(⨈⫕≮⫘↔100101010011))⊘)⪨≂(≮⫘↔100000100101∑⇟⊟≮⫘↔1100100100111∑⇟⊟(⫛⫱⨽≮⫘↔110110111100)≋⫹)","cot":[{"info":"≮⫘↔101011001110≋⫹=≮⫘↔-1010110011100","layer":3},{"info":"⨈⫕≮⫘↔100101010011=≮⫘↔-10101","layer":3},{"info":"≮⫘↔-1010110011100⨵⪆≮⫘↔-10101=≮⫘↔10100000","layer":2},{"info":"≮⫘↔10100000⊘=≮⫘↔0","layer":1},{"info":"≮⫘↔100000100101∑⇟⊟≮⫘↔1100100100111=NaN","layer":3},{"info":"⫛⫱⨽≮⫘↔110110111100=≮⫘↔0","layer":3},{"info":"NaN∑⇟⊟≮⫘↔0=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"≮⫘↔0⪨≂NaN=NaN","layer":0}]}
{"id":593,"expression_no_base_symbol":"((⊄⩳↩$6354$)↺$1106$∀⇚≩$3014$)⩚⊴⇥($1306$⨐⩸⫘$1503$)≧⫂∧(≤/$1603$)≭($3065$⫡⨏$2813$)⨟⋌⩍($1047$⊉≛↸$1091$)⪛($1992$⪮%⊝$3939$⫥∨⫟($3151$⪠⩆⊳))","expression":"((⊄⩳↩≮⫘↔1100011010010)↺≮⫘↔10001010010∀⇚≩≮⫘↔101111000110)⩚⊴⇥(≮⫘↔10100011010⨐⩸⫘≮⫘↔10111011111)≧⫂∧(≤/≮⫘↔11001000011)≭(≮⫘↔101111111001⫡⨏≮⫘↔101011111101)⨟⋌⩍(≮⫘↔10000010111⊉≛↸≮⫘↔10001000011)⪛(≮⫘↔11111001000⪮%⊝≮⫘↔111101100011⫥∨⫟(≮⫘↔110001001111⪠⩆⊳))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7938,"operation_count":15,"complexity_ratio":529.2,"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":6354,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1106,"base":2},"right_expr":{"type":"numeric_atoms","value":3014,"base":2}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1306,"base":2},"right_expr":{"type":"numeric_atoms","value":1503,"base":2}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1603,"base":2}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3065,"base":2},"right_expr":{"type":"numeric_atoms","value":2813,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1047,"base":2},"right_expr":{"type":"numeric_atoms","value":1091,"base":2}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1992,"base":2},"right_expr":{"type":"numeric_atoms","value":3939,"base":2}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3151,"base":2}}}}},"used_operators":["rxpJgHHUmx","NTOWxs364D","7j4O788W3g","8w2t5hMYqp","LRNGc0VcxI","Ph9nP6C5qx","fu6greOZ01","eLAdDNolq6","uFcxV4UQCh","rGHVDoGpnC","QMFrweE19q","DZ8iAZOCBD","KYD54nUTWz","IWmyXbctLI","JLbD19bQDL"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6354","layer":4},{"info":"compute unary expreesion, input=6354, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-19062","layer":3},{"info":"number node, value=1106","layer":4},{"info":"number node, value=3014","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=3014, 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=-19062, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"number node, value=1306","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=1503, 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=1603","layer":4},{"info":"compute unary expreesion, input=1603, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1119","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1119, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=3065","layer":4},{"info":"number node, value=2813","layer":4},{"info":"compute binary expreesion, left_input=3065, right_input=2813, 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=21734","layer":3},{"info":"number node, value=1047","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=1091, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2094","layer":3},{"info":"compute binary expreesion, left_input=21734, right_input=2094, 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=1992","layer":4},{"info":"number node, value=3939","layer":4},{"info":"compute binary expreesion, left_input=1992, right_input=3939, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4300","layer":3},{"info":"number node, value=3151","layer":4},{"info":"compute unary expreesion, input=3151, 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=4300, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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 binary expreesion, left_input=nan, 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":0}],"base":2,"result_base":2,"text":"((⊄⩳↩≮⫘↔1100011010010)↺≮⫘↔10001010010∀⇚≩≮⫘↔101111000110)⩚⊴⇥(≮⫘↔10100011010⨐⩸⫘≮⫘↔10111011111)≧⫂∧(≤/≮⫘↔11001000011)≭(≮⫘↔101111111001⫡⨏≮⫘↔101011111101)⨟⋌⩍(≮⫘↔10000010111⊉≛↸≮⫘↔10001000011)⪛(≮⫘↔11111001000⪮%⊝≮⫘↔111101100011⫥∨⫟(≮⫘↔110001001111⪠⩆⊳))=NaN","reverse_text":"NaN=((⊄⩳↩≮⫘↔1100011010010)↺≮⫘↔10001010010∀⇚≩≮⫘↔101111000110)⩚⊴⇥(≮⫘↔10100011010⨐⩸⫘≮⫘↔10111011111)≧⫂∧(≤/≮⫘↔11001000011)≭(≮⫘↔101111111001⫡⨏≮⫘↔101011111101)⨟⋌⩍(≮⫘↔10000010111⊉≛↸≮⫘↔10001000011)⪛(≮⫘↔11111001000⪮%⊝≮⫘↔111101100011⫥∨⫟(≮⫘↔110001001111⪠⩆⊳))","cot":[{"info":"⊄⩳↩≮⫘↔1100011010010=≮⫘↔-100101001110110","layer":3},{"info":"≮⫘↔10001010010∀⇚≩≮⫘↔101111000110=NaN","layer":3},{"info":"≮⫘↔-100101001110110↺NaN=NaN","layer":2},{"info":"≮⫘↔10100011010⨐⩸⫘≮⫘↔10111011111=NaN","layer":3},{"info":"≤/≮⫘↔11001000011=≮⫘↔-10001011111","layer":3},{"info":"NaN≧⫂∧≮⫘↔-10001011111=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"≮⫘↔101111111001⫡⨏≮⫘↔101011111101=≮⫘↔101010011100110","layer":3},{"info":"≮⫘↔10000010111⊉≛↸≮⫘↔10001000011=≮⫘↔100000101110","layer":3},{"info":"≮⫘↔101010011100110⨟⋌⩍≮⫘↔100000101110=NaN","layer":2},{"info":"≮⫘↔11111001000⪮%⊝≮⫘↔111101100011=≮⫘↔1000011001100","layer":3},{"info":"≮⫘↔110001001111⪠⩆⊳=≮⫘↔0","layer":3},{"info":"≮⫘↔1000011001100⫥∨⫟≮⫘↔0=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":594,"expression_no_base_symbol":"(($1992$⪠⩆⊳)↺($6112$+$8261$)⋷($4365$↙$2299$)∀⇚≩(⫛⫱⨽$4483$))⪐","expression":"((≮⫘↔11111001000⪠⩆⊳)↺(≮⫘↔1011111100000+≮⫘↔10000001000101)⋷(≮⫘↔1000100001101↙≮⫘↔100011111011)∀⇚≩(⫛⫱⨽≮⫘↔1000110000011))⪐","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":52017,"operation_count":8,"complexity_ratio":6502.125,"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":1992,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6112,"base":2},"right_expr":{"type":"numeric_atoms","value":8261,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4365,"base":2},"right_expr":{"type":"numeric_atoms","value":2299,"base":2}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4483,"base":2}}}}},"used_operators":["eH2TOUuTDT","23Mk6UjR3U","7j4O788W3g","JLbD19bQDL","W4YGzv6Whe","LRNGc0VcxI","yyfyN0ffXY","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1992","layer":4},{"info":"compute unary expreesion, input=1992, 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=6112","layer":4},{"info":"number node, value=8261","layer":4},{"info":"compute binary expreesion, left_input=6112, right_input=8261, op_id = W4YGzv6Whe binary_op_definition= 'None', output=14373","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=14373, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=14373","layer":2},{"info":"number node, value=4365","layer":4},{"info":"number node, value=2299","layer":4},{"info":"compute binary expreesion, left_input=4365, right_input=2299, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6897","layer":3},{"info":"number node, value=4483","layer":4},{"info":"compute unary expreesion, input=4483, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-6897, 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=14373, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11111001000⪠⩆⊳)↺(≮⫘↔1011111100000+≮⫘↔10000001000101)⋷(≮⫘↔1000100001101↙≮⫘↔100011111011)∀⇚≩(⫛⫱⨽≮⫘↔1000110000011))⪐=NaN","reverse_text":"NaN=((≮⫘↔11111001000⪠⩆⊳)↺(≮⫘↔1011111100000+≮⫘↔10000001000101)⋷(≮⫘↔1000100001101↙≮⫘↔100011111011)∀⇚≩(⫛⫱⨽≮⫘↔1000110000011))⪐","cot":[{"info":"≮⫘↔11111001000⪠⩆⊳=≮⫘↔0","layer":3},{"info":"≮⫘↔1011111100000+≮⫘↔10000001000101=≮⫘↔11100000100101","layer":3},{"info":"≮⫘↔0↺≮⫘↔11100000100101=≮⫘↔11100000100101","layer":2},{"info":"≮⫘↔1000100001101↙≮⫘↔100011111011=≮⫘↔-1101011110001","layer":3},{"info":"⫛⫱⨽≮⫘↔1000110000011=≮⫘↔0","layer":3},{"info":"≮⫘↔-1101011110001∀⇚≩≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔11100000100101⋷NaN=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
{"id":595,"expression_no_base_symbol":"(-($2210$-$2598$)*(≉$3524$))⩨(+⊝⨔($3270$⨓$4996$≧⫂∧($2417$⨐⩸⫘$2214$)))","expression":"(-(≮⫘↔100010100010-≮⫘↔101000100110)*(≉≮⫘↔110111000100))⩨(+⊝⨔(≮⫘↔110011000110⨓≮⫘↔1001110000100≧⫂∧(≮⫘↔100101110001⨐⩸⫘≮⫘↔100010100110)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5420,"operation_count":9,"complexity_ratio":602.2222222222222,"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":2210,"base":2},"right_expr":{"type":"numeric_atoms","value":2598,"base":2}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3524,"base":2}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3270,"base":2},"right_expr":{"type":"numeric_atoms","value":4996,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2417,"base":2},"right_expr":{"type":"numeric_atoms","value":2214,"base":2}}}}},"used_operators":["2DlMacCsIx","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","e1ybzncUwg","DhbWaqg5eL","Ph9nP6C5qx","3ViojmjbAp","fu6greOZ01"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","3ViojmjbAp"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2210","layer":4},{"info":"number node, value=2598","layer":4},{"info":"compute binary expreesion, left_input=2210, right_input=2598, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-388","layer":3},{"info":"number node, value=3524","layer":4},{"info":"compute unary expreesion, input=3524, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4055","layer":3},{"info":"compute binary expreesion, left_input=-388, right_input=4055, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-1573340","layer":2},{"info":"compute unary expreesion, input=-1573340, op_id = t8gj7n24qd, unary_op_definition = 'None', output=1573340","layer":1},{"info":"number node, value=3270","layer":4},{"info":"number node, value=4996","layer":4},{"info":"compute binary expreesion, left_input=3270, right_input=4996, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4999","layer":3},{"info":"number node, value=2417","layer":4},{"info":"number node, value=2214","layer":4},{"info":"compute binary expreesion, left_input=2417, right_input=2214, 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=-4999, 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 unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute binary expreesion, left_input=1573340, right_input=1522, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(-(≮⫘↔100010100010-≮⫘↔101000100110)*(≉≮⫘↔110111000100))⩨(+⊝⨔(≮⫘↔110011000110⨓≮⫘↔1001110000100≧⫂∧(≮⫘↔100101110001⨐⩸⫘≮⫘↔100010100110)))=≮⫘↔0","reverse_text":"≮⫘↔0=(-(≮⫘↔100010100010-≮⫘↔101000100110)*(≉≮⫘↔110111000100))⩨(+⊝⨔(≮⫘↔110011000110⨓≮⫘↔1001110000100≧⫂∧(≮⫘↔100101110001⨐⩸⫘≮⫘↔100010100110)))","cot":[{"info":"≮⫘↔100010100010-≮⫘↔101000100110=≮⫘↔-110000100","layer":3},{"info":"≉≮⫘↔110111000100=≮⫘↔111111010111","layer":3},{"info":"≮⫘↔-110000100*≮⫘↔111111010111=≮⫘↔-110000000000111011100","layer":2},{"info":"-≮⫘↔-110000000000111011100=≮⫘↔110000000000111011100","layer":1},{"info":"≮⫘↔110011000110⨓≮⫘↔1001110000100=≮⫘↔-1001110000111","layer":3},{"info":"≮⫘↔100101110001⨐⩸⫘≮⫘↔100010100110=NaN","layer":3},{"info":"≮⫘↔-1001110000111≧⫂∧NaN=NaN","layer":2},{"info":"+⊝⨔NaN=≮⫘↔10111110010","layer":1},{"info":"≮⫘↔110000000000111011100⩨≮⫘↔10111110010=≮⫘↔0","layer":0}]}
{"id":596,"expression_no_base_symbol":"$4986$∼$5462$≎⊠⪸($1556$≎⊠⪸$1181$)+$6081$⨟⋌⩍$3987$+⇶⊼(⫓⪴$4794$)/(⊙↵-$1805$⨟⋌⩍$2560$)⪛(($4231$⋳⪒$9087$)⩷∴($1425$+⇶⊼$1423$))","expression":"≮⫘↔1001101111010∼≮⫘↔1010101010110≎⊠⪸(≮⫘↔11000010100≎⊠⪸≮⫘↔10010011101)+≮⫘↔1011111000001⨟⋌⩍≮⫘↔111110010011+⇶⊼(⫓⪴≮⫘↔1001010111010)/(⊙↵-≮⫘↔11100001101⨟⋌⩍≮⫘↔101000000000)⪛((≮⫘↔1000010000111⋳⪒≮⫘↔10001101111111)⩷∴(≮⫘↔10110010001+⇶⊼≮⫘↔10110001111))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5225,"operation_count":14,"complexity_ratio":373.2142857142857,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4986,"base":2},"right_expr":{"type":"numeric_atoms","value":5462,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1556,"base":2},"right_expr":{"type":"numeric_atoms","value":1181,"base":2}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6081,"base":2},"right_expr":{"type":"numeric_atoms","value":3987,"base":2}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4794,"base":2}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1805,"base":2},"right_expr":{"type":"numeric_atoms","value":2560,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4231,"base":2},"right_expr":{"type":"numeric_atoms","value":9087,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1425,"base":2},"right_expr":{"type":"numeric_atoms","value":1423,"base":2}}}}},"used_operators":["XhwjNDsVaA","W4YGzv6Whe","bJkvcejdHO","DyGG3AbaNP","TpPTUOHfaN","rGHVDoGpnC","eLxqMNBOBk","uFcxV4UQCh","oWn0xqSxBt","9FxExcQeMw","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","Tcnh7f0tEr","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4986","layer":4},{"info":"number node, value=5462","layer":4},{"info":"compute binary expreesion, left_input=4986, right_input=5462, 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=1556","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=1556, right_input=1181, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=402531","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=402531, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":2},{"info":"number node, value=6081","layer":4},{"info":"number node, value=3987","layer":4},{"info":"compute binary expreesion, left_input=6081, right_input=3987, 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=4794","layer":4},{"info":"compute unary expreesion, input=4794, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=22982436","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=22982436, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1805","layer":4},{"info":"number node, value=2560","layer":4},{"info":"compute binary expreesion, left_input=1805, 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":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"number node, value=4231","layer":4},{"info":"number node, value=9087","layer":4},{"info":"compute binary expreesion, left_input=4231, right_input=9087, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-912","layer":3},{"info":"number node, value=1425","layer":4},{"info":"number node, value=1423","layer":4},{"info":"compute binary expreesion, left_input=1425, right_input=1423, 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=-912, 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=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=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔1001101111010∼≮⫘↔1010101010110≎⊠⪸(≮⫘↔11000010100≎⊠⪸≮⫘↔10010011101)+≮⫘↔1011111000001⨟⋌⩍≮⫘↔111110010011+⇶⊼(⫓⪴≮⫘↔1001010111010)/(⊙↵-≮⫘↔11100001101⨟⋌⩍≮⫘↔101000000000)⪛((≮⫘↔1000010000111⋳⪒≮⫘↔10001101111111)⩷∴(≮⫘↔10110010001+⇶⊼≮⫘↔10110001111))=NaN","reverse_text":"NaN=≮⫘↔1001101111010∼≮⫘↔1010101010110≎⊠⪸(≮⫘↔11000010100≎⊠⪸≮⫘↔10010011101)+≮⫘↔1011111000001⨟⋌⩍≮⫘↔111110010011+⇶⊼(⫓⪴≮⫘↔1001010111010)/(⊙↵-≮⫘↔11100001101⨟⋌⩍≮⫘↔101000000000)⪛((≮⫘↔1000010000111⋳⪒≮⫘↔10001101111111)⩷∴(≮⫘↔10110010001+⇶⊼≮⫘↔10110001111))","cot":[{"info":"≮⫘↔1001101111010∼≮⫘↔1010101010110=NaN","layer":3},{"info":"≮⫘↔11000010100≎⊠⪸≮⫘↔10010011101=≮⫘↔1100010010001100011","layer":3},{"info":"NaN≎⊠⪸≮⫘↔1100010010001100011=NaN","layer":2},{"info":"≮⫘↔1011111000001⨟⋌⩍≮⫘↔111110010011=NaN","layer":3},{"info":"⫓⪴≮⫘↔1001010111010=≮⫘↔1010111101010111100100100","layer":3},{"info":"NaN+⇶⊼≮⫘↔1010111101010111100100100=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"≮⫘↔11100001101⨟⋌⩍≮⫘↔101000000000=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"≮⫘↔1000010000111⋳⪒≮⫘↔10001101111111=≮⫘↔-1110010000","layer":3},{"info":"≮⫘↔10110010001+⇶⊼≮⫘↔10110001111=NaN","layer":3},{"info":"≮⫘↔-1110010000⩷∴NaN=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":597,"expression_no_base_symbol":"($6568$⫥∨⫟$4852$⊉≛↸$3414$⨐⩸⫘$4361$*($1053$∑⇟⊟$1356$⪒$2786$↙$3213$))⪄(⫓⪴(⊄⩳↩$7504$≹⇙⪍$1361$))","expression":"(≮⫘↔1100110101000⫥∨⫟≮⫘↔1001011110100⊉≛↸≮⫘↔110101010110⨐⩸⫘≮⫘↔1000100001001*(≮⫘↔10000011101∑⇟⊟≮⫘↔10101001100⪒≮⫘↔101011100010↙≮⫘↔110010001101))⪄(⫓⪴(⊄⩳↩≮⫘↔1110101010000≹⇙⪍≮⫘↔10101010001))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3404,"operation_count":11,"complexity_ratio":309.45454545454544,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6568,"base":2},"right_expr":{"type":"numeric_atoms","value":4852,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3414,"base":2},"right_expr":{"type":"numeric_atoms","value":4361,"base":2}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1053,"base":2},"right_expr":{"type":"numeric_atoms","value":1356,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2786,"base":2},"right_expr":{"type":"numeric_atoms","value":3213,"base":2}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7504,"base":2},"right_expr":{"type":"numeric_atoms","value":1361,"base":2}}}}},"used_operators":["SUmda5xLS4","9HNa5Wba9A","DZ8iAZOCBD","KYD54nUTWz","fu6greOZ01","f6k1SAg4EE","U7g4x0WXJJ","yyfyN0ffXY","eLxqMNBOBk","8w2t5hMYqp","AHs5Up7iyr"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"≮⫘↔111110001011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6568","layer":4},{"info":"number node, value=4852","layer":4},{"info":"compute binary expreesion, left_input=6568, right_input=4852, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3414","layer":4},{"info":"number node, value=4361","layer":4},{"info":"compute binary expreesion, left_input=3414, right_input=4361, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"number node, value=1053","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=1356, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2786","layer":4},{"info":"number node, value=3213","layer":4},{"info":"compute binary expreesion, left_input=2786, right_input=3213, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9639","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9639, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=7504","layer":4},{"info":"number node, value=1361","layer":4},{"info":"compute binary expreesion, left_input=7504, right_input=1361, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1100110101000⫥∨⫟≮⫘↔1001011110100⊉≛↸≮⫘↔110101010110⨐⩸⫘≮⫘↔1000100001001*(≮⫘↔10000011101∑⇟⊟≮⫘↔10101001100⪒≮⫘↔101011100010↙≮⫘↔110010001101))⪄(⫓⪴(⊄⩳↩≮⫘↔1110101010000≹⇙⪍≮⫘↔10101010001))=≮⫘↔111110001011","reverse_text":"≮⫘↔111110001011=(≮⫘↔1100110101000⫥∨⫟≮⫘↔1001011110100⊉≛↸≮⫘↔110101010110⨐⩸⫘≮⫘↔1000100001001*(≮⫘↔10000011101∑⇟⊟≮⫘↔10101001100⪒≮⫘↔101011100010↙≮⫘↔110010001101))⪄(⫓⪴(⊄⩳↩≮⫘↔1110101010000≹⇙⪍≮⫘↔10101010001))","cot":[{"info":"≮⫘↔1100110101000⫥∨⫟≮⫘↔1001011110100=NaN","layer":3},{"info":"≮⫘↔110101010110⨐⩸⫘≮⫘↔1000100001001=NaN","layer":3},{"info":"NaN⊉≛↸NaN=NaN","layer":2},{"info":"≮⫘↔10000011101∑⇟⊟≮⫘↔10101001100=NaN","layer":3},{"info":"≮⫘↔101011100010↙≮⫘↔110010001101=≮⫘↔-10010110100111","layer":3},{"info":"NaN⪒≮⫘↔-10010110100111=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"≮⫘↔1110101010000≹⇙⪍≮⫘↔10101010001=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"NaN⪄NaN=≮⫘↔111110001011","layer":0}]}
{"id":598,"expression_no_base_symbol":"(($2488$∀⇚≩$1226$/$1024$⨓$5098$)*($5735$⩨$1216$∲⫓(⊙↵-$1008$)))≣⋋","expression":"((≮⫘↔100110111000∀⇚≩≮⫘↔10011001010/≮⫘↔10000000000⨓≮⫘↔1001111101010)*(≮⫘↔1011001100111⩨≮⫘↔10011000000∲⫓(⊙↵-≮⫘↔1111110000)))≣⋋","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23585,"operation_count":8,"complexity_ratio":2948.125,"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":2488,"base":2},"right_expr":{"type":"numeric_atoms","value":1226,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1024,"base":2},"right_expr":{"type":"numeric_atoms","value":5098,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5735,"base":2},"right_expr":{"type":"numeric_atoms","value":1216,"base":2}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1008,"base":2}}}}},"used_operators":["Tcnh7f0tEr","9HNa5Wba9A","XhwjNDsVaA","LRNGc0VcxI","3ViojmjbAp","i8ToyICDmI","2DlMacCsIx","oWn0xqSxBt"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2488","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=2488, right_input=1226, 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=1024","layer":4},{"info":"number node, value=5098","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=5098, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5101","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5101, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=5735","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=5735, right_input=1216, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1008","layer":4},{"info":"compute unary expreesion, input=1008, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100110111000∀⇚≩≮⫘↔10011001010/≮⫘↔10000000000⨓≮⫘↔1001111101010)*(≮⫘↔1011001100111⩨≮⫘↔10011000000∲⫓(⊙↵-≮⫘↔1111110000)))≣⋋=NaN","reverse_text":"NaN=((≮⫘↔100110111000∀⇚≩≮⫘↔10011001010/≮⫘↔10000000000⨓≮⫘↔1001111101010)*(≮⫘↔1011001100111⩨≮⫘↔10011000000∲⫓(⊙↵-≮⫘↔1111110000)))≣⋋","cot":[{"info":"≮⫘↔100110111000∀⇚≩≮⫘↔10011001010=NaN","layer":3},{"info":"≮⫘↔10000000000⨓≮⫘↔1001111101010=≮⫘↔-1001111101101","layer":3},{"info":"NaN/≮⫘↔-1001111101101=NaN","layer":2},{"info":"≮⫘↔1011001100111⩨≮⫘↔10011000000=≮⫘↔0","layer":3},{"info":"⊙↵-≮⫘↔1111110000=≮⫘↔-1","layer":3},{"info":"≮⫘↔0∲⫓≮⫘↔-1=≮⫘↔0","layer":2},{"info":"NaN*≮⫘↔0=NaN","layer":1},{"info":"NaN≣⋋=NaN","layer":0}]}
{"id":599,"expression_no_base_symbol":"⩦⩻⨪((⫓⪴$4124$⨟⋌⩍$1373$)⋷$5428$⪛$2407$⨰$6078$⨓$6741$)","expression":"⩦⩻⨪((⫓⪴≮⫘↔1000000011100⨟⋌⩍≮⫘↔10101011101)⋷≮⫘↔1010100110100⪛≮⫘↔100101100111⨰≮⫘↔1011110111110⨓≮⫘↔1101001010101)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6765,"operation_count":7,"complexity_ratio":966.4285714285714,"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":4124,"base":2},"right_expr":{"type":"numeric_atoms","value":1373,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5428,"base":2},"right_expr":{"type":"numeric_atoms","value":2407,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6078,"base":2},"right_expr":{"type":"numeric_atoms","value":6741,"base":2}}}}},"used_operators":["2td37pGCOC","23Mk6UjR3U","eLxqMNBOBk","rGHVDoGpnC","eewbuw0ToL","uFcxV4UQCh","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4124","layer":4},{"info":"number node, value=1373","layer":4},{"info":"compute binary expreesion, left_input=4124, right_input=1373, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"number node, value=5428","layer":4},{"info":"number node, value=2407","layer":4},{"info":"compute binary expreesion, left_input=5428, right_input=2407, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=614","layer":3},{"info":"number node, value=6078","layer":4},{"info":"number node, value=6741","layer":4},{"info":"compute binary expreesion, left_input=6078, right_input=6741, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6744","layer":3},{"info":"compute binary expreesion, left_input=614, right_input=-6744, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=7368","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7368, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⩦⩻⨪((⫓⪴≮⫘↔1000000011100⨟⋌⩍≮⫘↔10101011101)⋷≮⫘↔1010100110100⪛≮⫘↔100101100111⨰≮⫘↔1011110111110⨓≮⫘↔1101001010101)=NaN","reverse_text":"NaN=⩦⩻⨪((⫓⪴≮⫘↔1000000011100⨟⋌⩍≮⫘↔10101011101)⋷≮⫘↔1010100110100⪛≮⫘↔100101100111⨰≮⫘↔1011110111110⨓≮⫘↔1101001010101)","cot":[{"info":"≮⫘↔1000000011100⨟⋌⩍≮⫘↔10101011101=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"≮⫘↔1010100110100⪛≮⫘↔100101100111=≮⫘↔1001100110","layer":3},{"info":"≮⫘↔1011110111110⨓≮⫘↔1101001010101=≮⫘↔-1101001011000","layer":3},{"info":"≮⫘↔1001100110⨰≮⫘↔-1101001011000=≮⫘↔1110011001000","layer":2},{"info":"NaN⋷≮⫘↔1110011001000=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":600,"expression_no_base_symbol":"(↽≂(($5183$⪠⩆⊳)∧))⪮%⊝((↣≠⋷$1064$)≧⫂∧($3064$≭$3094$)↙($1764$⪮%⊝$6102$⊭∹↮))","expression":"(↽≂((≮⫘↔1010000111111⪠⩆⊳)∧))⪮%⊝((↣≠⋷≮⫘↔10000101000)≧⫂∧(≮⫘↔101111111000≭≮⫘↔110000010110)↙(≮⫘↔11011100100⪮%⊝≮⫘↔1011111010110⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":44,"operation_count":10,"complexity_ratio":4.4,"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":5183,"base":2}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1064,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3064,"base":2},"right_expr":{"type":"numeric_atoms","value":3094,"base":2}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1764,"base":2},"right_expr":{"type":"numeric_atoms","value":6102,"base":2}}}}},"used_operators":["IWmyXbctLI","u6S6b8DprG","z63VuFQld9","JLbD19bQDL","yyfyN0ffXY","Ph9nP6C5qx","Asc51vEJeQ","rxpJgHHUmx","xNBdhnnwKq"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5183","layer":4},{"info":"compute unary expreesion, input=5183, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , 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=1064","layer":4},{"info":"compute unary expreesion, input=1064, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=3064","layer":4},{"info":"number node, value=3094","layer":4},{"info":"compute binary expreesion, left_input=3064, right_input=3094, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"number node, value=1764","layer":4},{"info":"number node, value=6102","layer":4},{"info":"compute binary expreesion, left_input=1764, right_input=6102, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3844","layer":3},{"info":"compute unary expreesion, input=3844, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=7688","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7688, 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=0, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↽≂((≮⫘↔1010000111111⪠⩆⊳)∧))⪮%⊝((↣≠⋷≮⫘↔10000101000)≧⫂∧(≮⫘↔101111111000≭≮⫘↔110000010110)↙(≮⫘↔11011100100⪮%⊝≮⫘↔1011111010110⊭∹↮))=NaN","reverse_text":"NaN=(↽≂((≮⫘↔1010000111111⪠⩆⊳)∧))⪮%⊝((↣≠⋷≮⫘↔10000101000)≧⫂∧(≮⫘↔101111111000≭≮⫘↔110000010110)↙(≮⫘↔11011100100⪮%⊝≮⫘↔1011111010110⊭∹↮))","cot":[{"info":"≮⫘↔1010000111111⪠⩆⊳=≮⫘↔0","layer":3},{"info":"≮⫘↔0∧=≮⫘↔0","layer":2},{"info":"↽≂≮⫘↔0=≮⫘↔0","layer":1},{"info":"↣≠⋷≮⫘↔10000101000=NaN","layer":3},{"info":"≮⫘↔101111111000≭≮⫘↔110000010110=NaN","layer":3},{"info":"NaN≧⫂∧NaN=NaN","layer":2},{"info":"≮⫘↔11011100100⪮%⊝≮⫘↔1011111010110=≮⫘↔111100000100","layer":3},{"info":"≮⫘↔111100000100⊭∹↮=≮⫘↔1111000001000","layer":2},{"info":"NaN↙≮⫘↔1111000001000=NaN","layer":1},{"info":"≮⫘↔0⪮%⊝NaN=NaN","layer":0}]}
{"id":601,"expression_no_base_symbol":"(($1031$⊦⊿)⫥∨⫟$2053$⨰$3898$)∑⇟⊟($2236$⨳⩥⨓$3826$⊠≄⫣)≧⫂∧((($2688$⩤)%$1541$↺$3711$)⪐)","expression":"((≮⫘↔10000000111⊦⊿)⫥∨⫟≮⫘↔100000000101⨰≮⫘↔111100111010)∑⇟⊟(≮⫘↔100010111100⨳⩥⨓≮⫘↔111011110010⊠≄⫣)≧⫂∧(((≮⫘↔101010000000⩤)%≮⫘↔11000000101↺≮⫘↔111001111111)⪐)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":180,"operation_count":11,"complexity_ratio":16.363636363636363,"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":1031,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2053,"base":2},"right_expr":{"type":"numeric_atoms","value":3898,"base":2}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2236,"base":2},"right_expr":{"type":"numeric_atoms","value":3826,"base":2}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2688,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1541,"base":2},"right_expr":{"type":"numeric_atoms","value":3711,"base":2}}}}},"used_operators":["Ph9nP6C5qx","U7g4x0WXJJ","KYD54nUTWz","14qkJME0vr","eewbuw0ToL","DIvbN7qnHd","nCS4ZIUYfx","eH2TOUuTDT","k8jYdgA6NY","Z2TMIBDE3Q","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔11000100101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1031","layer":4},{"info":"compute unary expreesion, input=1031, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3172","layer":3},{"info":"number node, value=2053","layer":4},{"info":"number node, value=3898","layer":4},{"info":"compute binary expreesion, left_input=2053, right_input=3898, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1835","layer":3},{"info":"compute binary expreesion, left_input=-3172, right_input=-1835, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2236","layer":4},{"info":"number node, value=3826","layer":4},{"info":"compute binary expreesion, left_input=2236, right_input=3826, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1590","layer":3},{"info":"compute unary expreesion, input=1590, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2688","layer":4},{"info":"compute unary expreesion, input=2688, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2688","layer":3},{"info":"number node, value=1541","layer":4},{"info":"number node, value=3711","layer":4},{"info":"compute binary expreesion, left_input=1541, right_input=3711, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3711","layer":3},{"info":"compute binary expreesion, left_input=-2688, right_input=3711, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1023","layer":2},{"info":"compute unary expreesion, input=1023, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2046","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2046, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1573","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10000000111⊦⊿)⫥∨⫟≮⫘↔100000000101⨰≮⫘↔111100111010)∑⇟⊟(≮⫘↔100010111100⨳⩥⨓≮⫘↔111011110010⊠≄⫣)≧⫂∧(((≮⫘↔101010000000⩤)%≮⫘↔11000000101↺≮⫘↔111001111111)⪐)=≮⫘↔11000100101","reverse_text":"≮⫘↔11000100101=((≮⫘↔10000000111⊦⊿)⫥∨⫟≮⫘↔100000000101⨰≮⫘↔111100111010)∑⇟⊟(≮⫘↔100010111100⨳⩥⨓≮⫘↔111011110010⊠≄⫣)≧⫂∧(((≮⫘↔101010000000⩤)%≮⫘↔11000000101↺≮⫘↔111001111111)⪐)","cot":[{"info":"≮⫘↔10000000111⊦⊿=≮⫘↔-110001100100","layer":3},{"info":"≮⫘↔100000000101⨰≮⫘↔111100111010=≮⫘↔-11100101011","layer":3},{"info":"≮⫘↔-110001100100⫥∨⫟≮⫘↔-11100101011=NaN","layer":2},{"info":"≮⫘↔100010111100⨳⩥⨓≮⫘↔111011110010=≮⫘↔11000110110","layer":3},{"info":"≮⫘↔11000110110⊠≄⫣=≮⫘↔0","layer":2},{"info":"NaN∑⇟⊟≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔101010000000⩤=≮⫘↔-101010000000","layer":3},{"info":"≮⫘↔11000000101↺≮⫘↔111001111111=≮⫘↔111001111111","layer":3},{"info":"≮⫘↔-101010000000%≮⫘↔111001111111=≮⫘↔1111111111","layer":2},{"info":"≮⫘↔1111111111⪐=≮⫘↔11111111110","layer":1},{"info":"NaN≧⫂∧≮⫘↔11111111110=≮⫘↔11000100101","layer":0}]}
{"id":602,"expression_no_base_symbol":"⊙↵-((⇁⨣⪵$2574$⩚⊴⇥$1149$)⊭↱($1599$↺$2005$)⩷∴(⊄⩳↩$5235$))","expression":"⊙↵-((⇁⨣⪵≮⫘↔101000001110⩚⊴⇥≮⫘↔10001111101)⊭↱(≮⫘↔11000111111↺≮⫘↔11111010101)⩷∴(⊄⩳↩≮⫘↔1010001110011))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":48,"operation_count":7,"complexity_ratio":6.857142857142857,"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":2574,"base":2},"right_expr":{"type":"numeric_atoms","value":1149,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1599,"base":2},"right_expr":{"type":"numeric_atoms","value":2005,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5235,"base":2}}}}},"used_operators":["oWn0xqSxBt","COABgblf1C","inkyxCbjAn","NTOWxs364D","9FxExcQeMw","7j4O788W3g","8w2t5hMYqp"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2574","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=2574, right_input=1149, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3844","layer":3},{"info":"compute unary expreesion, input=-3844, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1599","layer":4},{"info":"number node, value=2005","layer":4},{"info":"compute binary expreesion, left_input=1599, right_input=2005, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2005","layer":3},{"info":"number node, value=5235","layer":4},{"info":"compute unary expreesion, input=5235, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-15705","layer":3},{"info":"compute binary expreesion, left_input=2005, right_input=-15705, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=35388","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=35388, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⊙↵-((⇁⨣⪵≮⫘↔101000001110⩚⊴⇥≮⫘↔10001111101)⊭↱(≮⫘↔11000111111↺≮⫘↔11111010101)⩷∴(⊄⩳↩≮⫘↔1010001110011))=NaN","reverse_text":"NaN=⊙↵-((⇁⨣⪵≮⫘↔101000001110⩚⊴⇥≮⫘↔10001111101)⊭↱(≮⫘↔11000111111↺≮⫘↔11111010101)⩷∴(⊄⩳↩≮⫘↔1010001110011))","cot":[{"info":"≮⫘↔101000001110⩚⊴⇥≮⫘↔10001111101=≮⫘↔-111100000100","layer":3},{"info":"⇁⨣⪵≮⫘↔-111100000100=NaN","layer":2},{"info":"≮⫘↔11000111111↺≮⫘↔11111010101=≮⫘↔11111010101","layer":3},{"info":"⊄⩳↩≮⫘↔1010001110011=≮⫘↔-11110101011001","layer":3},{"info":"≮⫘↔11111010101⩷∴≮⫘↔-11110101011001=≮⫘↔1000101000111100","layer":2},{"info":"NaN⊭↱≮⫘↔1000101000111100=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":603,"expression_no_base_symbol":"⊄⩳↩(($1231$≣⋋)↺($6767$⨸⪁$1161$))∀⇚≩($4652$⇼⇔∾$2300$)⪘⫢($2190$⪄$1657$)","expression":"⊄⩳↩((≮⫘↔10011001111≣⋋)↺(≮⫘↔1101001101111⨸⪁≮⫘↔10010001001))∀⇚≩(≮⫘↔1001000101100⇼⇔∾≮⫘↔100011111100)⪘⫢(≮⫘↔100010001110⪄≮⫘↔11001111001)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":111620,"operation_count":8,"complexity_ratio":13952.5,"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":1231,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6767,"base":2},"right_expr":{"type":"numeric_atoms","value":1161,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4652,"base":2},"right_expr":{"type":"numeric_atoms","value":2300,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2190,"base":2},"right_expr":{"type":"numeric_atoms","value":1657,"base":2}}}}},"used_operators":["8w2t5hMYqp","LRNGc0VcxI","7j4O788W3g","Tcnh7f0tEr","g55IO6H4Gj","oacrs7FA3X","tifHPKVTfV","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1231","layer":4},{"info":"compute unary expreesion, input=1231, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"number node, value=6767","layer":4},{"info":"number node, value=1161","layer":4},{"info":"compute binary expreesion, left_input=6767, right_input=1161, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15856","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=15856, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=15856","layer":2},{"info":"number node, value=4652","layer":4},{"info":"number node, value=2300","layer":4},{"info":"compute binary expreesion, left_input=4652, right_input=2300, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2352","layer":3},{"info":"number node, value=2190","layer":4},{"info":"number node, value=1657","layer":4},{"info":"compute binary expreesion, left_input=2190, right_input=1657, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-326837","layer":3},{"info":"compute binary expreesion, left_input=-2352, right_input=-326837, 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=15856, right_input=-1, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⊄⩳↩((≮⫘↔10011001111≣⋋)↺(≮⫘↔1101001101111⨸⪁≮⫘↔10010001001))∀⇚≩(≮⫘↔1001000101100⇼⇔∾≮⫘↔100011111100)⪘⫢(≮⫘↔100010001110⪄≮⫘↔11001111001)=NaN","reverse_text":"NaN=⊄⩳↩((≮⫘↔10011001111≣⋋)↺(≮⫘↔1101001101111⨸⪁≮⫘↔10010001001))∀⇚≩(≮⫘↔1001000101100⇼⇔∾≮⫘↔100011111100)⪘⫢(≮⫘↔100010001110⪄≮⫘↔11001111001)","cot":[{"info":"≮⫘↔10011001111≣⋋=≮⫘↔0","layer":3},{"info":"≮⫘↔1101001101111⨸⪁≮⫘↔10010001001=≮⫘↔11110111110000","layer":3},{"info":"≮⫘↔0↺≮⫘↔11110111110000=≮⫘↔11110111110000","layer":2},{"info":"≮⫘↔1001000101100⇼⇔∾≮⫘↔100011111100=≮⫘↔-100100110000","layer":3},{"info":"≮⫘↔100010001110⪄≮⫘↔11001111001=≮⫘↔-1001111110010110101","layer":3},{"info":"≮⫘↔-100100110000⪘⫢≮⫘↔-1001111110010110101=≮⫘↔-1","layer":2},{"info":"≮⫘↔11110111110000∀⇚≩≮⫘↔-1=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":604,"expression_no_base_symbol":"((⨈⫕(∥⊫$1034$))⋝⋈⪟(∥⊫$4609$⨳⩥⨓$1933$))⪛(($1037$≫≃)⩷∴$1503$∀⇚≩$3219$⋝⋈⪟($3452$⇷$3150$⨸⪁$1416$⨰$1219$))","expression":"((⨈⫕(∥⊫≮⫘↔10000001010))⋝⋈⪟(∥⊫≮⫘↔1001000000001⨳⩥⨓≮⫘↔11110001101))⪛((≮⫘↔10000001101≫≃)⩷∴≮⫘↔10111011111∀⇚≩≮⫘↔110010010011⋝⋈⪟(≮⫘↔110101111100⇷≮⫘↔110001001110⨸⪁≮⫘↔10110001000⨰≮⫘↔10011000011))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":59283,"operation_count":13,"complexity_ratio":4560.2307692307695,"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":1034,"base":2}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4609,"base":2},"right_expr":{"type":"numeric_atoms","value":1933,"base":2}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1037,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1503,"base":2},"right_expr":{"type":"numeric_atoms","value":3219,"base":2}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3452,"base":2},"right_expr":{"type":"numeric_atoms","value":3150,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1416,"base":2},"right_expr":{"type":"numeric_atoms","value":1219,"base":2}}}}},"used_operators":["uFcxV4UQCh","2DDjHMKMc0","megm06wKyl","P8v4zCKN1o","nCS4ZIUYfx","9FxExcQeMw","X99M06cbEe","LRNGc0VcxI","g55IO6H4Gj","mp7IySMOzn","eewbuw0ToL"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","X99M06cbEe","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1034","layer":4},{"info":"compute unary expreesion, input=1034, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1902","layer":3},{"info":"compute unary expreesion, input=1902, 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=4609","layer":4},{"info":"number node, value=1933","layer":4},{"info":"compute binary expreesion, left_input=4609, right_input=1933, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2676","layer":3},{"info":"compute unary expreesion, input=-2676, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-55, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-21","layer":1},{"info":"number node, value=1037","layer":4},{"info":"compute unary expreesion, input=1037, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3475","layer":3},{"info":"number node, value=1503","layer":4},{"info":"number node, value=3219","layer":4},{"info":"compute binary expreesion, left_input=1503, right_input=3219, 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=3475, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=3452","layer":4},{"info":"number node, value=3150","layer":4},{"info":"compute binary expreesion, left_input=3452, right_input=3150, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6300","layer":3},{"info":"number node, value=1416","layer":4},{"info":"number node, value=1219","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=1219, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=207","layer":3},{"info":"compute binary expreesion, left_input=6300, right_input=207, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13014","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=13014, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨈⫕(∥⊫≮⫘↔10000001010))⋝⋈⪟(∥⊫≮⫘↔1001000000001⨳⩥⨓≮⫘↔11110001101))⪛((≮⫘↔10000001101≫≃)⩷∴≮⫘↔10111011111∀⇚≩≮⫘↔110010010011⋝⋈⪟(≮⫘↔110101111100⇷≮⫘↔110001001110⨸⪁≮⫘↔10110001000⨰≮⫘↔10011000011))=NaN","reverse_text":"NaN=((⨈⫕(∥⊫≮⫘↔10000001010))⋝⋈⪟(∥⊫≮⫘↔1001000000001⨳⩥⨓≮⫘↔11110001101))⪛((≮⫘↔10000001101≫≃)⩷∴≮⫘↔10111011111∀⇚≩≮⫘↔110010010011⋝⋈⪟(≮⫘↔110101111100⇷≮⫘↔110001001110⨸⪁≮⫘↔10110001000⨰≮⫘↔10011000011))","cot":[{"info":"∥⊫≮⫘↔10000001010=≮⫘↔11101101110","layer":3},{"info":"⨈⫕≮⫘↔11101101110=≮⫘↔-10101","layer":2},{"info":"≮⫘↔1001000000001⨳⩥⨓≮⫘↔11110001101=≮⫘↔-101001110100","layer":3},{"info":"∥⊫≮⫘↔-101001110100=≮⫘↔-110111","layer":2},{"info":"≮⫘↔-10101⋝⋈⪟≮⫘↔-110111=≮⫘↔-10101","layer":1},{"info":"≮⫘↔10000001101≫≃=≮⫘↔110110010011","layer":3},{"info":"≮⫘↔10111011111∀⇚≩≮⫘↔110010010011=NaN","layer":3},{"info":"≮⫘↔110110010011⩷∴NaN=NaN","layer":2},{"info":"≮⫘↔110101111100⇷≮⫘↔110001001110=≮⫘↔1100010011100","layer":3},{"info":"≮⫘↔10110001000⨰≮⫘↔10011000011=≮⫘↔11001111","layer":3},{"info":"≮⫘↔1100010011100⨸⪁≮⫘↔11001111=≮⫘↔11001011010110","layer":2},{"info":"NaN⋝⋈⪟≮⫘↔11001011010110=NaN","layer":1},{"info":"≮⫘↔-10101⪛NaN=NaN","layer":0}]}
{"id":605,"expression_no_base_symbol":"(⨰⫟⨤($1007$⨓$3567$))⨪↰⇹$1696$⨟⋌⩍$8543$↬($3721$⨽$1960$)↙($1981$⋓$2374$≭($2624$⋳⪒$2377$)⩨($1612$⩤)⨽(⫓⪴$4878$))","expression":"(⨰⫟⨤(≮⫘↔1111101111⨓≮⫘↔110111101111))⨪↰⇹≮⫘↔11010100000⨟⋌⩍≮⫘↔10000101011111↬(≮⫘↔111010001001⨽≮⫘↔11110101000)↙(≮⫘↔11110111101⋓≮⫘↔100101000110≭(≮⫘↔101001000000⋳⪒≮⫘↔100101001001)⩨(≮⫘↔11001001100⩤)⨽(⫓⪴≮⫘↔1001100001110))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":29004,"operation_count":14,"complexity_ratio":2071.714285714286,"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":1007,"base":2},"right_expr":{"type":"numeric_atoms","value":3567,"base":2}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1696,"base":2},"right_expr":{"type":"numeric_atoms","value":8543,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3721,"base":2},"right_expr":{"type":"numeric_atoms","value":1960,"base":2}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1981,"base":2},"right_expr":{"type":"numeric_atoms","value":2374,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2624,"base":2},"right_expr":{"type":"numeric_atoms","value":2377,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1612,"base":2}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4878,"base":2}}}}},"used_operators":["yyfyN0ffXY","tmPS8pqC7x","Tw270M8GLb","3ViojmjbAp","B5M0gjZbta","rGHVDoGpnC","8HhzD0ZcuI","2DlMacCsIx","rxpJgHHUmx","T2fj7uvVaJ","12rbrZMWeM","Z2TMIBDE3Q","eLxqMNBOBk"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rJVOvQCfKK","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","Tcnh7f0tEr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1007","layer":4},{"info":"number node, value=3567","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=3567, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3570","layer":3},{"info":"compute unary expreesion, input=-3570, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1696","layer":4},{"info":"number node, value=8543","layer":4},{"info":"compute binary expreesion, left_input=1696, right_input=8543, 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=3721","layer":4},{"info":"number node, value=1960","layer":4},{"info":"compute binary expreesion, left_input=3721, right_input=1960, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-41542089","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-41542089, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=1981","layer":4},{"info":"number node, value=2374","layer":4},{"info":"compute binary expreesion, left_input=1981, right_input=2374, 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=2624","layer":4},{"info":"number node, value=2377","layer":4},{"info":"compute binary expreesion, left_input=2624, right_input=2377, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2584","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2584, 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=1612","layer":4},{"info":"compute unary expreesion, input=1612, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1612","layer":3},{"info":"number node, value=4878","layer":4},{"info":"compute unary expreesion, input=4878, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=23794884","layer":3},{"info":"compute binary expreesion, left_input=-1612, right_input=23794884, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-79178970","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-79178970, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', 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":2,"result_base":2,"text":"(⨰⫟⨤(≮⫘↔1111101111⨓≮⫘↔110111101111))⨪↰⇹≮⫘↔11010100000⨟⋌⩍≮⫘↔10000101011111↬(≮⫘↔111010001001⨽≮⫘↔11110101000)↙(≮⫘↔11110111101⋓≮⫘↔100101000110≭(≮⫘↔101001000000⋳⪒≮⫘↔100101001001)⩨(≮⫘↔11001001100⩤)⨽(⫓⪴≮⫘↔1001100001110))=NaN","reverse_text":"NaN=(⨰⫟⨤(≮⫘↔1111101111⨓≮⫘↔110111101111))⨪↰⇹≮⫘↔11010100000⨟⋌⩍≮⫘↔10000101011111↬(≮⫘↔111010001001⨽≮⫘↔11110101000)↙(≮⫘↔11110111101⋓≮⫘↔100101000110≭(≮⫘↔101001000000⋳⪒≮⫘↔100101001001)⩨(≮⫘↔11001001100⩤)⨽(⫓⪴≮⫘↔1001100001110))","cot":[{"info":"≮⫘↔1111101111⨓≮⫘↔110111101111=≮⫘↔-110111110010","layer":3},{"info":"⨰⫟⨤≮⫘↔-110111110010=NaN","layer":2},{"info":"≮⫘↔11010100000⨟⋌⩍≮⫘↔10000101011111=NaN","layer":3},{"info":"≮⫘↔111010001001⨽≮⫘↔11110101000=≮⫘↔-10011110011110000111001001","layer":3},{"info":"NaN↬≮⫘↔-10011110011110000111001001=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"≮⫘↔11110111101⋓≮⫘↔100101000110=≮⫘↔0","layer":3},{"info":"≮⫘↔101001000000⋳⪒≮⫘↔100101001001=≮⫘↔101000011000","layer":3},{"info":"≮⫘↔0≭≮⫘↔101000011000=NaN","layer":2},{"info":"≮⫘↔11001001100⩤=≮⫘↔-11001001100","layer":3},{"info":"⫓⪴≮⫘↔1001100001110=≮⫘↔1011010110001010011000100","layer":3},{"info":"≮⫘↔-11001001100⨽≮⫘↔1011010110001010011000100=≮⫘↔-100101110000010110011011010","layer":2},{"info":"NaN⩨≮⫘↔-100101110000010110011011010=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":606,"expression_no_base_symbol":"((⨞⊢$2761$)⪘⫢($3624$⫸⊐$4731$)⪄((⊥$1549$)⋷(⋗⩬⋾$1680$)))≧⫂∧(≦∁$1733$⇼⇔∾$1950$∲⫓(↯⪼$2133$))","expression":"((⨞⊢≮⫘↔101011001001)⪘⫢(≮⫘↔111000101000⫸⊐≮⫘↔1001001111011)⪄((⊥≮⫘↔11000001101)⋷(⋗⩬⋾≮⫘↔11010010000)))≧⫂∧(≦∁≮⫘↔11011000101⇼⇔∾≮⫘↔11110011110∲⫓(↯⪼≮⫘↔100001010101))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":124,"operation_count":12,"complexity_ratio":10.333333333333334,"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":2761,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3624,"base":2},"right_expr":{"type":"numeric_atoms","value":4731,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1549,"base":2}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1680,"base":2}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1733,"base":2},"right_expr":{"type":"numeric_atoms","value":1950,"base":2}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2133,"base":2}}}}},"used_operators":["Ph9nP6C5qx","SUmda5xLS4","oacrs7FA3X","xUOZtlo3hN","mqXw5SEYmG","23Mk6UjR3U","Q3PJZHRvZv","DpFCA1CohY","9ICcGScMcE","i8ToyICDmI","tifHPKVTfV","8jW3W4yZS5"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2761","layer":4},{"info":"compute unary expreesion, input=2761, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2935","layer":3},{"info":"number node, value=3624","layer":4},{"info":"number node, value=4731","layer":4},{"info":"compute binary expreesion, left_input=3624, right_input=4731, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=18799","layer":3},{"info":"compute binary expreesion, left_input=-2935, right_input=18799, 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":"number node, value=1549","layer":4},{"info":"compute unary expreesion, input=1549, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1680","layer":4},{"info":"compute unary expreesion, input=1680, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5040","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5040, 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=0, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"number node, value=1733","layer":4},{"info":"number node, value=1950","layer":4},{"info":"compute binary expreesion, left_input=1733, right_input=1950, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=217","layer":3},{"info":"number node, value=2133","layer":4},{"info":"compute unary expreesion, input=2133, 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=217, right_input=-21, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=217","layer":2},{"info":"compute unary expreesion, input=217, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-2924","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2924, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨞⊢≮⫘↔101011001001)⪘⫢(≮⫘↔111000101000⫸⊐≮⫘↔1001001111011)⪄((⊥≮⫘↔11000001101)⋷(⋗⩬⋾≮⫘↔11010010000)))≧⫂∧(≦∁≮⫘↔11011000101⇼⇔∾≮⫘↔11110011110∲⫓(↯⪼≮⫘↔100001010101))=NaN","reverse_text":"NaN=((⨞⊢≮⫘↔101011001001)⪘⫢(≮⫘↔111000101000⫸⊐≮⫘↔1001001111011)⪄((⊥≮⫘↔11000001101)⋷(⋗⩬⋾≮⫘↔11010010000)))≧⫂∧(≦∁≮⫘↔11011000101⇼⇔∾≮⫘↔11110011110∲⫓(↯⪼≮⫘↔100001010101))","cot":[{"info":"⨞⊢≮⫘↔101011001001=≮⫘↔-101101110111","layer":3},{"info":"≮⫘↔111000101000⫸⊐≮⫘↔1001001111011=≮⫘↔100100101101111","layer":3},{"info":"≮⫘↔-101101110111⪘⫢≮⫘↔100100101101111=≮⫘↔0","layer":2},{"info":"⊥≮⫘↔11000001101=NaN","layer":3},{"info":"⋗⩬⋾≮⫘↔11010010000=≮⫘↔-1001110110000","layer":3},{"info":"NaN⋷≮⫘↔-1001110110000=NaN","layer":2},{"info":"≮⫘↔0⪄NaN=NaN","layer":1},{"info":"≮⫘↔11011000101⇼⇔∾≮⫘↔11110011110=≮⫘↔11011001","layer":3},{"info":"↯⪼≮⫘↔100001010101=≮⫘↔-10101","layer":3},{"info":"≮⫘↔11011001∲⫓≮⫘↔-10101=≮⫘↔11011001","layer":2},{"info":"≦∁≮⫘↔11011001=≮⫘↔-101101101100","layer":1},{"info":"NaN≧⫂∧≮⫘↔-101101101100=NaN","layer":0}]}
{"id":607,"expression_no_base_symbol":"⨑⩽⪐(↩($4241$⨓$2357$/($1154$⫡⨏$3392$)))","expression":"⨑⩽⪐(↩(≮⫘↔1000010010001⨓≮⫘↔100100110101/(≮⫘↔10010000010⫡⨏≮⫘↔110101000000)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2394,"operation_count":5,"complexity_ratio":478.8,"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":4241,"base":2},"right_expr":{"type":"numeric_atoms","value":2357,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1154,"base":2},"right_expr":{"type":"numeric_atoms","value":3392,"base":2}}}}},"used_operators":["AF7qkfDlqP","jLgFTUHLKL","XhwjNDsVaA","3ViojmjbAp","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-1000111100111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4241","layer":4},{"info":"number node, value=2357","layer":4},{"info":"compute binary expreesion, left_input=4241, right_input=2357, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2360","layer":3},{"info":"number node, value=1154","layer":4},{"info":"number node, value=3392","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=3392, 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=13337","layer":3},{"info":"compute binary expreesion, left_input=-2360, right_input=13337, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4856","layer":1},{"info":"compute unary expreesion, input=4856, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4583","layer":0}],"base":2,"result_base":2,"text":"⨑⩽⪐(↩(≮⫘↔1000010010001⨓≮⫘↔100100110101/(≮⫘↔10010000010⫡⨏≮⫘↔110101000000)))=≮⫘↔-1000111100111","reverse_text":"≮⫘↔-1000111100111=⨑⩽⪐(↩(≮⫘↔1000010010001⨓≮⫘↔100100110101/(≮⫘↔10010000010⫡⨏≮⫘↔110101000000)))","cot":[{"info":"≮⫘↔1000010010001⨓≮⫘↔100100110101=≮⫘↔-100100111000","layer":3},{"info":"≮⫘↔10010000010⫡⨏≮⫘↔110101000000=≮⫘↔11010000011001","layer":3},{"info":"≮⫘↔-100100111000/≮⫘↔11010000011001=≮⫘↔-1","layer":2},{"info":"↩≮⫘↔-1=≮⫘↔1001011111000","layer":1},{"info":"⨑⩽⪐≮⫘↔1001011111000=≮⫘↔-1000111100111","layer":0}]}
{"id":608,"expression_no_base_symbol":"$4992$⋝⋈⪟$3165$≎⊠⪸($1349$-$1894$)⋷($2040$⨽$3634$)⫥∨⫟(-$2361$)/((⇁⨣⪵$1887$⋳⪒$5934$)⨁⊸⫻)","expression":"≮⫘↔1001110000000⋝⋈⪟≮⫘↔110001011101≎⊠⪸(≮⫘↔10101000101-≮⫘↔11101100110)⋷(≮⫘↔11111111000⨽≮⫘↔111000110010)⫥∨⫟(-≮⫘↔100100111001)/((⇁⨣⪵≮⫘↔11101011111⋳⪒≮⫘↔1011100101110)⨁⊸⫻)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2231,"operation_count":11,"complexity_ratio":202.8181818181818,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4992,"base":2},"right_expr":{"type":"numeric_atoms","value":3165,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1349,"base":2},"right_expr":{"type":"numeric_atoms","value":1894,"base":2}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2040,"base":2},"right_expr":{"type":"numeric_atoms","value":3634,"base":2}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2361,"base":2}}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1887,"base":2},"right_expr":{"type":"numeric_atoms","value":5934,"base":2}}}}},"used_operators":["XhwjNDsVaA","23Mk6UjR3U","bJkvcejdHO","2DDjHMKMc0","rysDP5nf3Z","KYD54nUTWz","8HhzD0ZcuI","t8gj7n24qd","glklzrTFfD","inkyxCbjAn","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4992","layer":4},{"info":"number node, value=3165","layer":4},{"info":"compute binary expreesion, left_input=4992, right_input=3165, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4992","layer":3},{"info":"number node, value=1349","layer":4},{"info":"number node, value=1894","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=1894, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-545","layer":3},{"info":"compute binary expreesion, left_input=4992, right_input=-545, 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=2040","layer":4},{"info":"number node, value=3634","layer":4},{"info":"compute binary expreesion, left_input=2040, right_input=3634, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12494388","layer":3},{"info":"number node, value=2361","layer":4},{"info":"compute unary expreesion, input=2361, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2361","layer":3},{"info":"compute binary expreesion, left_input=-12494388, right_input=-2361, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-134","layer":1},{"info":"number node, value=1887","layer":4},{"info":"number node, value=5934","layer":4},{"info":"compute binary expreesion, left_input=1887, right_input=5934, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2447","layer":3},{"info":"compute unary expreesion, input=-2447, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔1001110000000⋝⋈⪟≮⫘↔110001011101≎⊠⪸(≮⫘↔10101000101-≮⫘↔11101100110)⋷(≮⫘↔11111111000⨽≮⫘↔111000110010)⫥∨⫟(-≮⫘↔100100111001)/((⇁⨣⪵≮⫘↔11101011111⋳⪒≮⫘↔1011100101110)⨁⊸⫻)=NaN","reverse_text":"NaN=≮⫘↔1001110000000⋝⋈⪟≮⫘↔110001011101≎⊠⪸(≮⫘↔10101000101-≮⫘↔11101100110)⋷(≮⫘↔11111111000⨽≮⫘↔111000110010)⫥∨⫟(-≮⫘↔100100111001)/((⇁⨣⪵≮⫘↔11101011111⋳⪒≮⫘↔1011100101110)⨁⊸⫻)","cot":[{"info":"≮⫘↔1001110000000⋝⋈⪟≮⫘↔110001011101=≮⫘↔1001110000000","layer":3},{"info":"≮⫘↔10101000101-≮⫘↔11101100110=≮⫘↔-1000100001","layer":3},{"info":"≮⫘↔1001110000000≎⊠⪸≮⫘↔-1000100001=≮⫘↔1000011","layer":2},{"info":"≮⫘↔11111111000⨽≮⫘↔111000110010=≮⫘↔-101111101010011000110100","layer":3},{"info":"-≮⫘↔100100111001=≮⫘↔-100100111001","layer":3},{"info":"≮⫘↔-101111101010011000110100⫥∨⫟≮⫘↔-100100111001=NaN","layer":2},{"info":"≮⫘↔1000011⋷NaN=≮⫘↔-10000110","layer":1},{"info":"≮⫘↔11101011111⋳⪒≮⫘↔1011100101110=≮⫘↔-100110001111","layer":3},{"info":"⇁⨣⪵≮⫘↔-100110001111=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"≮⫘↔-10000110/NaN=NaN","layer":0}]}
{"id":609,"expression_no_base_symbol":"(≤/((⩦⩻⨪$1507$)⪒($2329$⊦⊿)))⨰((⨰⫟⨤($3123$⨽$4760$))⨸⪁(↥$7913$)⇷(↽≂$1692$))","expression":"(≤/((⩦⩻⨪≮⫘↔10111100011)⪒(≮⫘↔100100011001⊦⊿)))⨰((⨰⫟⨤(≮⫘↔110000110011⨽≮⫘↔1001010011000))⨸⪁(↥≮⫘↔1111011101001)⇷(↽≂≮⫘↔11010011100))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":58549032,"operation_count":11,"complexity_ratio":5322639.2727272725,"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":1507,"base":2}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2329,"base":2}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3123,"base":2},"right_expr":{"type":"numeric_atoms","value":4760,"base":2}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":7913,"base":2}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1692,"base":2}}}}},"used_operators":["eewbuw0ToL","eLAdDNolq6","f6k1SAg4EE","2td37pGCOC","14qkJME0vr","g55IO6H4Gj","Tw270M8GLb","8HhzD0ZcuI","mp7IySMOzn","A8NUZmVepG","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1507","layer":4},{"info":"compute unary expreesion, input=1507, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1507","layer":3},{"info":"number node, value=2329","layer":4},{"info":"compute unary expreesion, input=2329, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-7066","layer":3},{"info":"compute binary expreesion, left_input=1507, right_input=-7066, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=5559","layer":2},{"info":"compute unary expreesion, input=5559, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5075","layer":1},{"info":"number node, value=3123","layer":4},{"info":"number node, value=4760","layer":4},{"info":"compute binary expreesion, left_input=3123, right_input=4760, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-29272353","layer":3},{"info":"compute unary expreesion, input=-29272353, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=7913","layer":4},{"info":"compute unary expreesion, input=7913, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=8","layer":3},{"info":"number node, value=1692","layer":4},{"info":"compute unary expreesion, input=1692, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3384","layer":3},{"info":"compute binary expreesion, left_input=8, right_input=-3384, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-90241671","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-90241671, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-5075, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≤/((⩦⩻⨪≮⫘↔10111100011)⪒(≮⫘↔100100011001⊦⊿)))⨰((⨰⫟⨤(≮⫘↔110000110011⨽≮⫘↔1001010011000))⨸⪁(↥≮⫘↔1111011101001)⇷(↽≂≮⫘↔11010011100))=NaN","reverse_text":"NaN=(≤/((⩦⩻⨪≮⫘↔10111100011)⪒(≮⫘↔100100011001⊦⊿)))⨰((⨰⫟⨤(≮⫘↔110000110011⨽≮⫘↔1001010011000))⨸⪁(↥≮⫘↔1111011101001)⇷(↽≂≮⫘↔11010011100))","cot":[{"info":"⩦⩻⨪≮⫘↔10111100011=≮⫘↔10111100011","layer":3},{"info":"≮⫘↔100100011001⊦⊿=≮⫘↔-1101110011010","layer":3},{"info":"≮⫘↔10111100011⪒≮⫘↔-1101110011010=≮⫘↔1010110110111","layer":2},{"info":"≤/≮⫘↔1010110110111=≮⫘↔-1001111010011","layer":1},{"info":"≮⫘↔110000110011⨽≮⫘↔1001010011000=≮⫘↔-1101111101010100100100001","layer":3},{"info":"⨰⫟⨤≮⫘↔-1101111101010100100100001=NaN","layer":2},{"info":"↥≮⫘↔1111011101001=≮⫘↔1000","layer":3},{"info":"↽≂≮⫘↔11010011100=≮⫘↔-110100111000","layer":3},{"info":"≮⫘↔1000⇷≮⫘↔-110100111000=≮⫘↔-101011000001111101010000111","layer":2},{"info":"NaN⨸⪁≮⫘↔-101011000001111101010000111=NaN","layer":1},{"info":"≮⫘↔-1001111010011⨰NaN=NaN","layer":0}]}
{"id":610,"expression_no_base_symbol":"≦∁(⨞⊢(↔$3211$)≧⫂∧($2013$+⇶⊼$1250$))","expression":"≦∁(⨞⊢(↔≮⫘↔110010001011)≧⫂∧(≮⫘↔11111011101+⇶⊼≮⫘↔10011100010))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":12,"operation_count":5,"complexity_ratio":2.4,"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":3211,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2013,"base":2},"right_expr":{"type":"numeric_atoms","value":1250,"base":2}}}}},"used_operators":["9ICcGScMcE","xUOZtlo3hN","Ph9nP6C5qx","ruOEQAzv1W","TpPTUOHfaN"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3211","layer":4},{"info":"compute unary expreesion, input=3211, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2938","layer":3},{"info":"number node, value=2013","layer":4},{"info":"number node, value=1250","layer":4},{"info":"compute binary expreesion, left_input=2013, right_input=1250, 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=-2938, 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 unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"≦∁(⨞⊢(↔≮⫘↔110010001011)≧⫂∧(≮⫘↔11111011101+⇶⊼≮⫘↔10011100010))=NaN","reverse_text":"NaN=≦∁(⨞⊢(↔≮⫘↔110010001011)≧⫂∧(≮⫘↔11111011101+⇶⊼≮⫘↔10011100010))","cot":[{"info":"↔≮⫘↔110010001011=≮⫘↔-101101111010","layer":3},{"info":"≮⫘↔11111011101+⇶⊼≮⫘↔10011100010=NaN","layer":3},{"info":"≮⫘↔-101101111010≧⫂∧NaN=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":611,"expression_no_base_symbol":"((⇁⨣⪵$8314$⋳⪒$3260$)+($1877$⩷∴$6630$≫≃))↙(($1540$⪛$3382$⊭↱$4292$∀⇚≩$2547$)↺(↩$2762$)⨎($2732$⩤))","expression":"((⇁⨣⪵≮⫘↔10000001111010⋳⪒≮⫘↔110010111100)+(≮⫘↔11101010101⩷∴≮⫘↔1100111100110≫≃))↙((≮⫘↔11000000100⪛≮⫘↔110100110110⊭↱≮⫘↔1000011000100∀⇚≩≮⫘↔100111110011)↺(↩≮⫘↔101011001010)⨎(≮⫘↔101010101100⩤))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":30097,"operation_count":13,"complexity_ratio":2315.153846153846,"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":8314,"base":2},"right_expr":{"type":"numeric_atoms","value":3260,"base":2}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1877,"base":2},"right_expr":{"type":"numeric_atoms","value":6630,"base":2}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1540,"base":2},"right_expr":{"type":"numeric_atoms","value":3382,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4292,"base":2},"right_expr":{"type":"numeric_atoms","value":2547,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2762,"base":2}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2732,"base":2}}}}},"used_operators":["yyfyN0ffXY","W4YGzv6Whe","inkyxCbjAn","12rbrZMWeM","X99M06cbEe","9FxExcQeMw","7j4O788W3g","COABgblf1C","uFcxV4UQCh","LRNGc0VcxI","rJVOvQCfKK","jLgFTUHLKL","Z2TMIBDE3Q"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","X99M06cbEe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8314","layer":4},{"info":"number node, value=3260","layer":4},{"info":"compute binary expreesion, left_input=8314, right_input=3260, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=13081","layer":3},{"info":"compute unary expreesion, input=13081, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1877","layer":4},{"info":"number node, value=6630","layer":4},{"info":"compute binary expreesion, left_input=1877, right_input=6630, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-9538","layer":3},{"info":"compute unary expreesion, input=-9538, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-17675","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-17675, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1540","layer":4},{"info":"number node, value=3382","layer":4},{"info":"compute binary expreesion, left_input=1540, right_input=3382, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1540","layer":3},{"info":"number node, value=4292","layer":4},{"info":"number node, value=2547","layer":4},{"info":"compute binary expreesion, left_input=4292, right_input=2547, 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=1540, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=2762","layer":4},{"info":"compute unary expreesion, input=2762, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-19316","layer":3},{"info":"number node, value=2732","layer":4},{"info":"compute unary expreesion, input=2732, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2732","layer":3},{"info":"compute binary expreesion, left_input=-19316, right_input=-2732, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-2732","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2732, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-2732","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2732, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⇁⨣⪵≮⫘↔10000001111010⋳⪒≮⫘↔110010111100)+(≮⫘↔11101010101⩷∴≮⫘↔1100111100110≫≃))↙((≮⫘↔11000000100⪛≮⫘↔110100110110⊭↱≮⫘↔1000011000100∀⇚≩≮⫘↔100111110011)↺(↩≮⫘↔101011001010)⨎(≮⫘↔101010101100⩤))=NaN","reverse_text":"NaN=((⇁⨣⪵≮⫘↔10000001111010⋳⪒≮⫘↔110010111100)+(≮⫘↔11101010101⩷∴≮⫘↔1100111100110≫≃))↙((≮⫘↔11000000100⪛≮⫘↔110100110110⊭↱≮⫘↔1000011000100∀⇚≩≮⫘↔100111110011)↺(↩≮⫘↔101011001010)⨎(≮⫘↔101010101100⩤))","cot":[{"info":"≮⫘↔10000001111010⋳⪒≮⫘↔110010111100=≮⫘↔11001100011001","layer":3},{"info":"⇁⨣⪵≮⫘↔11001100011001=NaN","layer":2},{"info":"≮⫘↔11101010101⩷∴≮⫘↔1100111100110=≮⫘↔-10010101000010","layer":3},{"info":"≮⫘↔-10010101000010≫≃=≮⫘↔-100010100001011","layer":2},{"info":"NaN+≮⫘↔-100010100001011=NaN","layer":1},{"info":"≮⫘↔11000000100⪛≮⫘↔110100110110=≮⫘↔11000000100","layer":3},{"info":"≮⫘↔1000011000100∀⇚≩≮⫘↔100111110011=NaN","layer":3},{"info":"≮⫘↔11000000100⊭↱NaN=NaN","layer":2},{"info":"↩≮⫘↔101011001010=≮⫘↔-100101101110100","layer":3},{"info":"≮⫘↔101010101100⩤=≮⫘↔-101010101100","layer":3},{"info":"≮⫘↔-100101101110100⨎≮⫘↔-101010101100=≮⫘↔-101010101100","layer":2},{"info":"NaN↺≮⫘↔-101010101100=≮⫘↔-101010101100","layer":1},{"info":"NaN↙≮⫘↔-101010101100=NaN","layer":0}]}
{"id":612,"expression_no_base_symbol":"(($4915$⨽$1427$)∀⇚≩($1749$⨓$6239$))⪢(($3196$⨵⪆$2245$)∲⫓($8676$⫡⨏$2449$))⩨(($1062$⋫)/(↔$4143$))↺($1621$⊭↱$3502$)⩚⊴⇥($3379$⊉≛↸$1243$)","expression":"((≮⫘↔1001100110011⨽≮⫘↔10110010011)∀⇚≩(≮⫘↔11011010101⨓≮⫘↔1100001011111))⪢((≮⫘↔110001111100⨵⪆≮⫘↔100011000101)∲⫓(≮⫘↔10000111100100⫡⨏≮⫘↔100110010001))⩨((≮⫘↔10000100110⋫)/(↔≮⫘↔1000000101111))↺(≮⫘↔11001010101⊭↱≮⫘↔110110101110)⩚⊴⇥(≮⫘↔110100110011⊉≛↸≮⫘↔10011011011)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12268,"operation_count":15,"complexity_ratio":817.8666666666667,"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":4915,"base":2},"right_expr":{"type":"numeric_atoms","value":1427,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1749,"base":2},"right_expr":{"type":"numeric_atoms","value":6239,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3196,"base":2},"right_expr":{"type":"numeric_atoms","value":2245,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":8676,"base":2},"right_expr":{"type":"numeric_atoms","value":2449,"base":2}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1062,"base":2}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4143,"base":2}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1621,"base":2},"right_expr":{"type":"numeric_atoms","value":3502,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3379,"base":2},"right_expr":{"type":"numeric_atoms","value":1243,"base":2}}}}},"used_operators":["2DlMacCsIx","dWAJyo7jo9","LRNGc0VcxI","8HhzD0ZcuI","3ViojmjbAp","i8ToyICDmI","2DQ55sFlQl","QMFrweE19q","7j4O788W3g","XhwjNDsVaA","JL8yIekQnl","ruOEQAzv1W","NTOWxs364D","COABgblf1C","DZ8iAZOCBD"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","k8jYdgA6NY","X99M06cbEe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4915","layer":4},{"info":"number node, value=1427","layer":4},{"info":"compute binary expreesion, left_input=4915, right_input=1427, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-72474642","layer":3},{"info":"number node, value=1749","layer":4},{"info":"number node, value=6239","layer":4},{"info":"compute binary expreesion, left_input=1749, right_input=6239, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6242","layer":3},{"info":"compute binary expreesion, left_input=-72474642, right_input=-6242, 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=3196","layer":4},{"info":"number node, value=2245","layer":4},{"info":"compute binary expreesion, left_input=3196, right_input=2245, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=8676","layer":4},{"info":"number node, value=2449","layer":4},{"info":"compute binary expreesion, left_input=8676, right_input=2449, 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=49061","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=49061, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":1},{"info":"number node, value=1062","layer":4},{"info":"compute unary expreesion, input=1062, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1062","layer":3},{"info":"number node, value=4143","layer":4},{"info":"compute unary expreesion, input=4143, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3870","layer":3},{"info":"compute binary expreesion, left_input=1062, right_input=-3870, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=1621","layer":4},{"info":"number node, value=3502","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=3502, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3767","layer":3},{"info":"number node, value=3379","layer":4},{"info":"number node, value=1243","layer":4},{"info":"compute binary expreesion, left_input=3379, right_input=1243, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6758","layer":3},{"info":"compute binary expreesion, left_input=3767, right_input=6758, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10646","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=-10646, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-10646","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-10646, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001100110011⨽≮⫘↔10110010011)∀⇚≩(≮⫘↔11011010101⨓≮⫘↔1100001011111))⪢((≮⫘↔110001111100⨵⪆≮⫘↔100011000101)∲⫓(≮⫘↔10000111100100⫡⨏≮⫘↔100110010001))⩨((≮⫘↔10000100110⋫)/(↔≮⫘↔1000000101111))↺(≮⫘↔11001010101⊭↱≮⫘↔110110101110)⩚⊴⇥(≮⫘↔110100110011⊉≛↸≮⫘↔10011011011)=NaN","reverse_text":"NaN=((≮⫘↔1001100110011⨽≮⫘↔10110010011)∀⇚≩(≮⫘↔11011010101⨓≮⫘↔1100001011111))⪢((≮⫘↔110001111100⨵⪆≮⫘↔100011000101)∲⫓(≮⫘↔10000111100100⫡⨏≮⫘↔100110010001))⩨((≮⫘↔10000100110⋫)/(↔≮⫘↔1000000101111))↺(≮⫘↔11001010101⊭↱≮⫘↔110110101110)⩚⊴⇥(≮⫘↔110100110011⊉≛↸≮⫘↔10011011011)","cot":[{"info":"≮⫘↔1001100110011⨽≮⫘↔10110010011=≮⫘↔-100010100011110000000010010","layer":3},{"info":"≮⫘↔11011010101⨓≮⫘↔1100001011111=≮⫘↔-1100001100010","layer":3},{"info":"≮⫘↔-100010100011110000000010010∀⇚≩≮⫘↔-1100001100010=NaN","layer":2},{"info":"≮⫘↔110001111100⨵⪆≮⫘↔100011000101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10000111100100⫡⨏≮⫘↔100110010001=≮⫘↔1011111110100101","layer":3},{"info":"≮⫘↔10100000∲⫓≮⫘↔1011111110100101=≮⫘↔0","layer":2},{"info":"NaN⪢≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔10000100110⋫=≮⫘↔10000100110","layer":3},{"info":"↔≮⫘↔1000000101111=≮⫘↔-111100011110","layer":3},{"info":"≮⫘↔10000100110/≮⫘↔-111100011110=≮⫘↔-1","layer":2},{"info":"≮⫘↔11001010101⊭↱≮⫘↔110110101110=≮⫘↔111010110111","layer":3},{"info":"≮⫘↔110100110011⊉≛↸≮⫘↔10011011011=≮⫘↔1101001100110","layer":3},{"info":"≮⫘↔111010110111⩚⊴⇥≮⫘↔1101001100110=≮⫘↔-10100110010110","layer":2},{"info":"≮⫘↔-1↺≮⫘↔-10100110010110=≮⫘↔-10100110010110","layer":1},{"info":"≮⫘↔0⩨≮⫘↔-10100110010110=NaN","layer":0}]}
{"id":613,"expression_no_base_symbol":"↽≂((⫛⫱⨽$2996$)≭$8057$⪢$5285$↪⪝)","expression":"↽≂((⫛⫱⨽≮⫘↔101110110100)≭≮⫘↔1111101111001⪢≮⫘↔1010010100101↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":8866,"operation_count":5,"complexity_ratio":1773.2,"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":2996,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":8057,"base":2},"right_expr":{"type":"numeric_atoms","value":5285,"base":2}}}}},"used_operators":["u6S6b8DprG","l07mrZUIn9","rxpJgHHUmx","DlLNRPXxWL","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","AHs5Up7iyr","rGHVDoGpnC","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=2996","layer":4},{"info":"compute unary expreesion, input=2996, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=8057","layer":4},{"info":"number node, value=5285","layer":4},{"info":"compute binary expreesion, left_input=8057, right_input=5285, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*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":2,"result_base":2,"text":"↽≂((⫛⫱⨽≮⫘↔101110110100)≭≮⫘↔1111101111001⪢≮⫘↔1010010100101↪⪝)=NaN","reverse_text":"NaN=↽≂((⫛⫱⨽≮⫘↔101110110100)≭≮⫘↔1111101111001⪢≮⫘↔1010010100101↪⪝)","cot":[{"info":"⫛⫱⨽≮⫘↔101110110100=≮⫘↔0","layer":3},{"info":"≮⫘↔1111101111001⪢≮⫘↔1010010100101=NaN","layer":3},{"info":"≮⫘↔0≭NaN=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
{"id":614,"expression_no_base_symbol":"(($5027$⋷$7106$)⨰($4108$⨵⪆$3916$)%(↽≂$7516$)⊉≛↸(↣≠⋷$4499$))⨸⪁(⩦⩻⨪($1345$⋝⋈⪟$7494$)↬($1679$+$3887$))","expression":"((≮⫘↔1001110100011⋷≮⫘↔1101111000010)⨰(≮⫘↔1000000001100⨵⪆≮⫘↔111101001100)%(↽≂≮⫘↔1110101011100)⊉≛↸(↣≠⋷≮⫘↔1000110010011))⨸⪁(⩦⩻⨪(≮⫘↔10101000001⋝⋈⪟≮⫘↔1110101000110)↬(≮⫘↔11010001111+≮⫘↔111100101111))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":32,"operation_count":12,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5027,"base":2},"right_expr":{"type":"numeric_atoms","value":7106,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4108,"base":2},"right_expr":{"type":"numeric_atoms","value":3916,"base":2}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":7516,"base":2}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4499,"base":2}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1345,"base":2},"right_expr":{"type":"numeric_atoms","value":7494,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1679,"base":2},"right_expr":{"type":"numeric_atoms","value":3887,"base":2}}}}},"used_operators":["g55IO6H4Gj","k8jYdgA6NY","eewbuw0ToL","23Mk6UjR3U","2DQ55sFlQl","DZ8iAZOCBD","u6S6b8DprG","Asc51vEJeQ","2td37pGCOC","B5M0gjZbta","2DDjHMKMc0","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5027","layer":4},{"info":"number node, value=7106","layer":4},{"info":"compute binary expreesion, left_input=5027, right_input=7106, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9185","layer":3},{"info":"number node, value=4108","layer":4},{"info":"number node, value=3916","layer":4},{"info":"compute binary expreesion, left_input=4108, right_input=3916, 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=9185, right_input=160, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=9035","layer":2},{"info":"number node, value=7516","layer":4},{"info":"compute unary expreesion, input=7516, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-15032","layer":3},{"info":"number node, value=4499","layer":4},{"info":"compute unary expreesion, input=4499, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-15032, 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=9035, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1345","layer":4},{"info":"number node, value=7494","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=7494, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1345","layer":3},{"info":"number node, value=1679","layer":4},{"info":"number node, value=3887","layer":4},{"info":"compute binary expreesion, left_input=1679, right_input=3887, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5566","layer":3},{"info":"compute binary expreesion, left_input=1345, right_input=5566, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001110100011⋷≮⫘↔1101111000010)⨰(≮⫘↔1000000001100⨵⪆≮⫘↔111101001100)%(↽≂≮⫘↔1110101011100)⊉≛↸(↣≠⋷≮⫘↔1000110010011))⨸⪁(⩦⩻⨪(≮⫘↔10101000001⋝⋈⪟≮⫘↔1110101000110)↬(≮⫘↔11010001111+≮⫘↔111100101111))=NaN","reverse_text":"NaN=((≮⫘↔1001110100011⋷≮⫘↔1101111000010)⨰(≮⫘↔1000000001100⨵⪆≮⫘↔111101001100)%(↽≂≮⫘↔1110101011100)⊉≛↸(↣≠⋷≮⫘↔1000110010011))⨸⪁(⩦⩻⨪(≮⫘↔10101000001⋝⋈⪟≮⫘↔1110101000110)↬(≮⫘↔11010001111+≮⫘↔111100101111))","cot":[{"info":"≮⫘↔1001110100011⋷≮⫘↔1101111000010=≮⫘↔10001111100001","layer":3},{"info":"≮⫘↔1000000001100⨵⪆≮⫘↔111101001100=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10001111100001⨰≮⫘↔10100000=≮⫘↔10001101001011","layer":2},{"info":"↽≂≮⫘↔1110101011100=≮⫘↔-11101010111000","layer":3},{"info":"↣≠⋷≮⫘↔1000110010011=NaN","layer":3},{"info":"≮⫘↔-11101010111000⊉≛↸NaN=NaN","layer":2},{"info":"≮⫘↔10001101001011%NaN=NaN","layer":1},{"info":"≮⫘↔10101000001⋝⋈⪟≮⫘↔1110101000110=≮⫘↔10101000001","layer":3},{"info":"≮⫘↔11010001111+≮⫘↔111100101111=≮⫘↔1010110111110","layer":3},{"info":"≮⫘↔10101000001↬≮⫘↔1010110111110=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":615,"expression_no_base_symbol":"($6246$⨪↰⇹$1717$⨳⩥⨓$3018$⨽$4239$)≧⫂∧((⇁⨣⪵$3175$)≭($7137$⋳⪒$3281$))≧⫂∧($2255$⨪↰⇹$6472$⨳⩥⨓(⊙↵-$4107$)/(↥$1819$⩷∴$3141$))","expression":"(≮⫘↔1100001100110⨪↰⇹≮⫘↔11010110101⨳⩥⨓≮⫘↔101111001010⨽≮⫘↔1000010001111)≧⫂∧((⇁⨣⪵≮⫘↔110001100111)≭(≮⫘↔1101111100001⋳⪒≮⫘↔110011010001))≧⫂∧(≮⫘↔100011001111⨪↰⇹≮⫘↔1100101001000⨳⩥⨓(⊙↵-≮⫘↔1000000001011)/(↥≮⫘↔11100011011⩷∴≮⫘↔110001000101))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15839,"operation_count":14,"complexity_ratio":1131.357142857143,"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":6246,"base":2},"right_expr":{"type":"numeric_atoms","value":1717,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3018,"base":2},"right_expr":{"type":"numeric_atoms","value":4239,"base":2}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3175,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7137,"base":2},"right_expr":{"type":"numeric_atoms","value":3281,"base":2}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2255,"base":2},"right_expr":{"type":"numeric_atoms","value":6472,"base":2}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4107,"base":2}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1819,"base":2},"right_expr":{"type":"numeric_atoms","value":3141,"base":2}}}}},"used_operators":["Ph9nP6C5qx","nCS4ZIUYfx","tmPS8pqC7x","8HhzD0ZcuI","rxpJgHHUmx","inkyxCbjAn","12rbrZMWeM","XhwjNDsVaA","oWn0xqSxBt","A8NUZmVepG","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rJVOvQCfKK","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","k8jYdgA6NY","rysDP5nf3Z"],"result":"≮⫘↔-1000101101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6246","layer":4},{"info":"number node, value=1717","layer":4},{"info":"compute binary expreesion, left_input=6246, right_input=1717, 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=6246","layer":3},{"info":"number node, value=3018","layer":4},{"info":"number node, value=4239","layer":4},{"info":"compute binary expreesion, left_input=3018, right_input=4239, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-27336375","layer":3},{"info":"compute binary expreesion, left_input=6246, right_input=-27336375, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-27342621","layer":2},{"info":"number node, value=3175","layer":4},{"info":"compute unary expreesion, input=3175, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=7137","layer":4},{"info":"number node, value=3281","layer":4},{"info":"compute binary expreesion, left_input=7137, right_input=3281, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=10706","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10706, 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=-27342621, 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=2255","layer":4},{"info":"number node, value=6472","layer":4},{"info":"compute binary expreesion, left_input=2255, right_input=6472, 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=2255","layer":3},{"info":"number node, value=4107","layer":4},{"info":"compute unary expreesion, input=4107, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=2255, right_input=-1, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2256","layer":2},{"info":"number node, value=1819","layer":4},{"info":"number node, value=3141","layer":4},{"info":"compute binary expreesion, left_input=1819, right_input=3141, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2676","layer":3},{"info":"compute unary expreesion, input=-2676, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=27","layer":2},{"info":"compute binary expreesion, left_input=-2256, right_input=27, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-84","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-84, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-557","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1100001100110⨪↰⇹≮⫘↔11010110101⨳⩥⨓≮⫘↔101111001010⨽≮⫘↔1000010001111)≧⫂∧((⇁⨣⪵≮⫘↔110001100111)≭(≮⫘↔1101111100001⋳⪒≮⫘↔110011010001))≧⫂∧(≮⫘↔100011001111⨪↰⇹≮⫘↔1100101001000⨳⩥⨓(⊙↵-≮⫘↔1000000001011)/(↥≮⫘↔11100011011⩷∴≮⫘↔110001000101))=≮⫘↔-1000101101","reverse_text":"≮⫘↔-1000101101=(≮⫘↔1100001100110⨪↰⇹≮⫘↔11010110101⨳⩥⨓≮⫘↔101111001010⨽≮⫘↔1000010001111)≧⫂∧((⇁⨣⪵≮⫘↔110001100111)≭(≮⫘↔1101111100001⋳⪒≮⫘↔110011010001))≧⫂∧(≮⫘↔100011001111⨪↰⇹≮⫘↔1100101001000⨳⩥⨓(⊙↵-≮⫘↔1000000001011)/(↥≮⫘↔11100011011⩷∴≮⫘↔110001000101))","cot":[{"info":"≮⫘↔1100001100110⨪↰⇹≮⫘↔11010110101=≮⫘↔1100001100110","layer":3},{"info":"≮⫘↔101111001010⨽≮⫘↔1000010001111=≮⫘↔-1101000010001111010110111","layer":3},{"info":"≮⫘↔1100001100110⨳⩥⨓≮⫘↔-1101000010001111010110111=≮⫘↔-1101000010011011100011101","layer":2},{"info":"⇁⨣⪵≮⫘↔110001100111=NaN","layer":3},{"info":"≮⫘↔1101111100001⋳⪒≮⫘↔110011010001=≮⫘↔10100111010010","layer":3},{"info":"NaN≭≮⫘↔10100111010010=NaN","layer":2},{"info":"≮⫘↔-1101000010011011100011101≧⫂∧NaN=NaN","layer":1},{"info":"≮⫘↔100011001111⨪↰⇹≮⫘↔1100101001000=≮⫘↔100011001111","layer":3},{"info":"⊙↵-≮⫘↔1000000001011=≮⫘↔-1","layer":3},{"info":"≮⫘↔100011001111⨳⩥⨓≮⫘↔-1=≮⫘↔-100011010000","layer":2},{"info":"≮⫘↔11100011011⩷∴≮⫘↔110001000101=≮⫘↔-101001110100","layer":3},{"info":"↥≮⫘↔-101001110100=≮⫘↔11011","layer":2},{"info":"≮⫘↔-100011010000/≮⫘↔11011=≮⫘↔-1010100","layer":1},{"info":"NaN≧⫂∧≮⫘↔-1010100=≮⫘↔-1000101101","layer":0}]}
{"id":616,"expression_no_base_symbol":"(($1916$⩨$5609$)↬(⨈⫕$1925$))⪮%⊝(($6229$⨸⪁$8005$)⫌⩹⨱)⩤","expression":"((≮⫘↔11101111100⩨≮⫘↔1010111101001)↬(⨈⫕≮⫘↔11110000101))⪮%⊝((≮⫘↔1100001010101⨸⪁≮⫘↔1111101000101)⫌⩹⨱)⩤","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":520,"operation_count":7,"complexity_ratio":74.28571428571429,"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":1916,"base":2},"right_expr":{"type":"numeric_atoms","value":5609,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1925,"base":2}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6229,"base":2},"right_expr":{"type":"numeric_atoms","value":8005,"base":2}}}}},"used_operators":["Z2TMIBDE3Q","IWmyXbctLI","B5M0gjZbta","2DlMacCsIx","megm06wKyl","EBcxylXtPf","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe"],"result":"≮⫘↔-100111100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1916","layer":4},{"info":"number node, value=5609","layer":4},{"info":"compute binary expreesion, left_input=1916, right_input=5609, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=1925","layer":4},{"info":"compute unary expreesion, input=1925, 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=-6, right_input=-21, 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=0","layer":2},{"info":"number node, value=6229","layer":4},{"info":"number node, value=8005","layer":4},{"info":"compute binary expreesion, left_input=6229, right_input=8005, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=28468","layer":3},{"info":"compute unary expreesion, input=28468, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=58337","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=58337, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":1},{"info":"compute unary expreesion, input=316, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-316","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11101111100⩨≮⫘↔1010111101001)↬(⨈⫕≮⫘↔11110000101))⪮%⊝((≮⫘↔1100001010101⨸⪁≮⫘↔1111101000101)⫌⩹⨱)⩤=≮⫘↔-100111100","reverse_text":"≮⫘↔-100111100=((≮⫘↔11101111100⩨≮⫘↔1010111101001)↬(⨈⫕≮⫘↔11110000101))⪮%⊝((≮⫘↔1100001010101⨸⪁≮⫘↔1111101000101)⫌⩹⨱)⩤","cot":[{"info":"≮⫘↔11101111100⩨≮⫘↔1010111101001=≮⫘↔-110","layer":3},{"info":"⨈⫕≮⫘↔11110000101=≮⫘↔-10101","layer":3},{"info":"≮⫘↔-110↬≮⫘↔-10101=≮⫘↔0","layer":2},{"info":"≮⫘↔1100001010101⨸⪁≮⫘↔1111101000101=≮⫘↔110111100110100","layer":3},{"info":"≮⫘↔110111100110100⫌⩹⨱=≮⫘↔1110001111100001","layer":2},{"info":"≮⫘↔0⪮%⊝≮⫘↔1110001111100001=≮⫘↔100111100","layer":1},{"info":"≮⫘↔100111100⩤=≮⫘↔-100111100","layer":0}]}
{"id":617,"expression_no_base_symbol":"((↥$1943$)⨐⩸⫘($3212$⨸⪁$1231$))↬($2417$⋝⋈⪟$1185$⫩⊇)≎⊠⪸((↔($1230$⨸⪁$3997$))⨎$1106$⪢$5564$⋝⋈⪟(≤/$5274$))","expression":"((↥≮⫘↔11110010111)⨐⩸⫘(≮⫘↔110010001100⨸⪁≮⫘↔10011001111))↬(≮⫘↔100101110001⋝⋈⪟≮⫘↔10010100001⫩⊇)≎⊠⪸((↔(≮⫘↔10011001110⨸⪁≮⫘↔111110011101))⨎≮⫘↔10001010010⪢≮⫘↔1010110111100⋝⋈⪟(≤/≮⫘↔1010010011010))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5638,"operation_count":13,"complexity_ratio":433.6923076923077,"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":1943,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3212,"base":2},"right_expr":{"type":"numeric_atoms","value":1231,"base":2}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2417,"base":2},"right_expr":{"type":"numeric_atoms","value":1185,"base":2}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1230,"base":2},"right_expr":{"type":"numeric_atoms","value":3997,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1106,"base":2},"right_expr":{"type":"numeric_atoms","value":5564,"base":2}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5274,"base":2}}}}},"used_operators":["bJkvcejdHO","B5M0gjZbta","fu6greOZ01","A8NUZmVepG","g55IO6H4Gj","BjRHVeLaeN","2DDjHMKMc0","rJVOvQCfKK","ruOEQAzv1W","dWAJyo7jo9","eLAdDNolq6"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","3ViojmjbAp","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","k8jYdgA6NY","rysDP5nf3Z"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1943","layer":4},{"info":"compute unary expreesion, input=1943, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=5","layer":3},{"info":"number node, value=3212","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=3212, right_input=1231, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8886","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=8886, 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=2417","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=2417, right_input=1185, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2417","layer":3},{"info":"compute unary expreesion, input=2417, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2375","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2375, 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=1230","layer":4},{"info":"number node, value=3997","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=3997, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10454","layer":3},{"info":"compute unary expreesion, input=10454, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-10181","layer":2},{"info":"number node, value=1106","layer":4},{"info":"number node, value=5564","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=5564, 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=5274","layer":4},{"info":"compute unary expreesion, input=5274, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4790","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4790, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-10181, 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=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":0}],"base":2,"result_base":2,"text":"((↥≮⫘↔11110010111)⨐⩸⫘(≮⫘↔110010001100⨸⪁≮⫘↔10011001111))↬(≮⫘↔100101110001⋝⋈⪟≮⫘↔10010100001⫩⊇)≎⊠⪸((↔(≮⫘↔10011001110⨸⪁≮⫘↔111110011101))⨎≮⫘↔10001010010⪢≮⫘↔1010110111100⋝⋈⪟(≤/≮⫘↔1010010011010))=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=((↥≮⫘↔11110010111)⨐⩸⫘(≮⫘↔110010001100⨸⪁≮⫘↔10011001111))↬(≮⫘↔100101110001⋝⋈⪟≮⫘↔10010100001⫩⊇)≎⊠⪸((↔(≮⫘↔10011001110⨸⪁≮⫘↔111110011101))⨎≮⫘↔10001010010⪢≮⫘↔1010110111100⋝⋈⪟(≤/≮⫘↔1010010011010))","cot":[{"info":"↥≮⫘↔11110010111=≮⫘↔101","layer":3},{"info":"≮⫘↔110010001100⨸⪁≮⫘↔10011001111=≮⫘↔10001010110110","layer":3},{"info":"≮⫘↔101⨐⩸⫘≮⫘↔10001010110110=NaN","layer":2},{"info":"≮⫘↔100101110001⋝⋈⪟≮⫘↔10010100001=≮⫘↔100101110001","layer":3},{"info":"≮⫘↔100101110001⫩⊇=≮⫘↔-100101000111","layer":2},{"info":"NaN↬≮⫘↔-100101000111=NaN","layer":1},{"info":"≮⫘↔10011001110⨸⪁≮⫘↔111110011101=≮⫘↔10100011010110","layer":3},{"info":"↔≮⫘↔10100011010110=≮⫘↔-10011111000101","layer":2},{"info":"≮⫘↔10001010010⪢≮⫘↔1010110111100=NaN","layer":3},{"info":"≤/≮⫘↔1010010011010=≮⫘↔-1001010110110","layer":3},{"info":"NaN⋝⋈⪟≮⫘↔-1001010110110=NaN","layer":2},{"info":"≮⫘↔-10011111000101⨎NaN=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=≮⫘↔1000011","layer":0}]}
{"id":618,"expression_no_base_symbol":"(($1283$⪨≂$5399$)⋓($1327$⨎$5018$))∑⇟⊟(($7487$≎⊠⪸$7053$)⨓($7147$↙$3511$))*($6448$≭$2221$⫥∨⫟($4511$⫩⊇))+⇶⊼($5704$⪘⫢$3331$↙(≦∁$5106$))","expression":"((≮⫘↔10100000011⪨≂≮⫘↔1010100010111)⋓(≮⫘↔10100101111⨎≮⫘↔1001110011010))∑⇟⊟((≮⫘↔1110100111111≎⊠⪸≮⫘↔1101110001101)⨓(≮⫘↔1101111101011↙≮⫘↔110110110111))*(≮⫘↔1100100110000≭≮⫘↔100010101101⫥∨⫟(≮⫘↔1000110011111⫩⊇))+⇶⊼(≮⫘↔1011001001000⪘⫢≮⫘↔110100000011↙(≦∁≮⫘↔1001111110010))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19627,"operation_count":15,"complexity_ratio":1308.4666666666667,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1283,"base":2},"right_expr":{"type":"numeric_atoms","value":5399,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1327,"base":2},"right_expr":{"type":"numeric_atoms","value":5018,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":7487,"base":2},"right_expr":{"type":"numeric_atoms","value":7053,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":7147,"base":2},"right_expr":{"type":"numeric_atoms","value":3511,"base":2}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6448,"base":2},"right_expr":{"type":"numeric_atoms","value":2221,"base":2}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":4511,"base":2}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5704,"base":2},"right_expr":{"type":"numeric_atoms","value":3331,"base":2}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5106,"base":2}}}}},"used_operators":["9HNa5Wba9A","U7g4x0WXJJ","T2fj7uvVaJ","sdazOOVcIp","rJVOvQCfKK","3ViojmjbAp","bJkvcejdHO","yyfyN0ffXY","TpPTUOHfaN","KYD54nUTWz","rxpJgHHUmx","BjRHVeLaeN","oacrs7FA3X","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1283","layer":4},{"info":"number node, value=5399","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=5399, 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=-8130","layer":3},{"info":"number node, value=1327","layer":4},{"info":"number node, value=5018","layer":4},{"info":"compute binary expreesion, left_input=1327, right_input=5018, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5018","layer":3},{"info":"compute binary expreesion, left_input=-8130, right_input=5018, 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=7487","layer":4},{"info":"number node, value=7053","layer":4},{"info":"compute binary expreesion, left_input=7487, right_input=7053, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1938660","layer":3},{"info":"number node, value=7147","layer":4},{"info":"number node, value=3511","layer":4},{"info":"compute binary expreesion, left_input=7147, right_input=3511, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10533","layer":3},{"info":"compute binary expreesion, left_input=1938660, right_input=-10533, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-10536","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-10536, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=6448","layer":4},{"info":"number node, value=2221","layer":4},{"info":"compute binary expreesion, left_input=6448, right_input=2221, 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=4511","layer":4},{"info":"compute unary expreesion, input=4511, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4469","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4469, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=5704","layer":4},{"info":"number node, value=3331","layer":4},{"info":"compute binary expreesion, left_input=5704, right_input=3331, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11284","layer":3},{"info":"number node, value=5106","layer":4},{"info":"compute unary expreesion, input=5106, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5106","layer":3},{"info":"compute binary expreesion, left_input=11284, right_input=5106, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15318","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-15318, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10100000011⪨≂≮⫘↔1010100010111)⋓(≮⫘↔10100101111⨎≮⫘↔1001110011010))∑⇟⊟((≮⫘↔1110100111111≎⊠⪸≮⫘↔1101110001101)⨓(≮⫘↔1101111101011↙≮⫘↔110110110111))*(≮⫘↔1100100110000≭≮⫘↔100010101101⫥∨⫟(≮⫘↔1000110011111⫩⊇))+⇶⊼(≮⫘↔1011001001000⪘⫢≮⫘↔110100000011↙(≦∁≮⫘↔1001111110010))=NaN","reverse_text":"NaN=((≮⫘↔10100000011⪨≂≮⫘↔1010100010111)⋓(≮⫘↔10100101111⨎≮⫘↔1001110011010))∑⇟⊟((≮⫘↔1110100111111≎⊠⪸≮⫘↔1101110001101)⨓(≮⫘↔1101111101011↙≮⫘↔110110110111))*(≮⫘↔1100100110000≭≮⫘↔100010101101⫥∨⫟(≮⫘↔1000110011111⫩⊇))+⇶⊼(≮⫘↔1011001001000⪘⫢≮⫘↔110100000011↙(≦∁≮⫘↔1001111110010))","cot":[{"info":"≮⫘↔10100000011⪨≂≮⫘↔1010100010111=≮⫘↔-1111111000010","layer":3},{"info":"≮⫘↔10100101111⨎≮⫘↔1001110011010=≮⫘↔1001110011010","layer":3},{"info":"≮⫘↔-1111111000010⋓≮⫘↔1001110011010=≮⫘↔0","layer":2},{"info":"≮⫘↔1110100111111≎⊠⪸≮⫘↔1101110001101=≮⫘↔111011001010011100100","layer":3},{"info":"≮⫘↔1101111101011↙≮⫘↔110110110111=≮⫘↔-10100100100101","layer":3},{"info":"≮⫘↔111011001010011100100⨓≮⫘↔-10100100100101=≮⫘↔-10100100101000","layer":2},{"info":"≮⫘↔0∑⇟⊟≮⫘↔-10100100101000=NaN","layer":1},{"info":"≮⫘↔1100100110000≭≮⫘↔100010101101=NaN","layer":3},{"info":"≮⫘↔1000110011111⫩⊇=≮⫘↔-1000101110101","layer":3},{"info":"NaN⫥∨⫟≮⫘↔-1000101110101=NaN","layer":2},{"info":"≮⫘↔1011001001000⪘⫢≮⫘↔110100000011=≮⫘↔10110000010100","layer":3},{"info":"≦∁≮⫘↔1001111110010=≮⫘↔1001111110010","layer":3},{"info":"≮⫘↔10110000010100↙≮⫘↔1001111110010=≮⫘↔-11101111010110","layer":2},{"info":"NaN+⇶⊼≮⫘↔-11101111010110=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":619,"expression_no_base_symbol":"(↽≂$3441$⩚⊴⇥$3659$)⨓($1698$⇷$2213$⪐)⩷∴((⨞⊢($4611$*$1785$))∸)","expression":"(↽≂≮⫘↔110101110001⩚⊴⇥≮⫘↔111001001011)⨓(≮⫘↔11010100010⇷≮⫘↔100010100101⪐)⩷∴((⨞⊢(≮⫘↔1001000000011*≮⫘↔11011111001))∸)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":34614,"operation_count":9,"complexity_ratio":3846.0,"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":3441,"base":2},"right_expr":{"type":"numeric_atoms","value":3659,"base":2}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1698,"base":2},"right_expr":{"type":"numeric_atoms","value":2213,"base":2}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4611,"base":2},"right_expr":{"type":"numeric_atoms","value":1785,"base":2}}}}},"used_operators":["9FxExcQeMw","3ViojmjbAp","u6S6b8DprG","NTOWxs364D","eH2TOUuTDT","mp7IySMOzn","o20kRiQErp","xUOZtlo3hN","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"≮⫘↔-100011010110000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3441","layer":4},{"info":"number node, value=3659","layer":4},{"info":"compute binary expreesion, left_input=3441, right_input=3659, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7221","layer":3},{"info":"compute unary expreesion, input=-7221, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=14442","layer":2},{"info":"number node, value=1698","layer":4},{"info":"number node, value=2213","layer":4},{"info":"compute binary expreesion, left_input=1698, right_input=2213, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4426","layer":3},{"info":"compute unary expreesion, input=4426, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=8852","layer":2},{"info":"compute binary expreesion, left_input=14442, right_input=8852, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8855","layer":1},{"info":"number node, value=4611","layer":4},{"info":"number node, value=1785","layer":4},{"info":"compute binary expreesion, left_input=4611, right_input=1785, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8230635","layer":3},{"info":"compute unary expreesion, input=8230635, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-8230809","layer":2},{"info":"compute unary expreesion, input=-8230809, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=-8855, right_input=177, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-18096","layer":0}],"base":2,"result_base":2,"text":"(↽≂≮⫘↔110101110001⩚⊴⇥≮⫘↔111001001011)⨓(≮⫘↔11010100010⇷≮⫘↔100010100101⪐)⩷∴((⨞⊢(≮⫘↔1001000000011*≮⫘↔11011111001))∸)=≮⫘↔-100011010110000","reverse_text":"≮⫘↔-100011010110000=(↽≂≮⫘↔110101110001⩚⊴⇥≮⫘↔111001001011)⨓(≮⫘↔11010100010⇷≮⫘↔100010100101⪐)⩷∴((⨞⊢(≮⫘↔1001000000011*≮⫘↔11011111001))∸)","cot":[{"info":"≮⫘↔110101110001⩚⊴⇥≮⫘↔111001001011=≮⫘↔-1110000110101","layer":3},{"info":"↽≂≮⫘↔-1110000110101=≮⫘↔11100001101010","layer":2},{"info":"≮⫘↔11010100010⇷≮⫘↔100010100101=≮⫘↔1000101001010","layer":3},{"info":"≮⫘↔1000101001010⪐=≮⫘↔10001010010100","layer":2},{"info":"≮⫘↔11100001101010⨓≮⫘↔10001010010100=≮⫘↔-10001010010111","layer":1},{"info":"≮⫘↔1001000000011*≮⫘↔11011111001=≮⫘↔11111011001011011101011","layer":3},{"info":"⨞⊢≮⫘↔11111011001011011101011=≮⫘↔-11111011001011110011001","layer":2},{"info":"≮⫘↔-11111011001011110011001∸=≮⫘↔10110001","layer":1},{"info":"≮⫘↔-10001010010111⩷∴≮⫘↔10110001=≮⫘↔-100011010110000","layer":0}]}
{"id":620,"expression_no_base_symbol":"(($1263$⪨≂$3401$)∲⫓($1143$≫≃))⋓($1342$⫡⨏$2935$)⪘⫢($4136$∑⇟⊟$2039$)↺(+⊝⨔($4625$≎⊠⪸$6527$⊉≛↸($8417$/$2596$)))","expression":"((≮⫘↔10011101111⪨≂≮⫘↔110101001001)∲⫓(≮⫘↔10001110111≫≃))⋓(≮⫘↔10100111110⫡⨏≮⫘↔101101110111)⪘⫢(≮⫘↔1000000101000∑⇟⊟≮⫘↔11111110111)↺(+⊝⨔(≮⫘↔1001000010001≎⊠⪸≮⫘↔1100101111111⊉≛↸(≮⫘↔10000011100001/≮⫘↔101000100100)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":361,"operation_count":12,"complexity_ratio":30.083333333333332,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1263,"base":2},"right_expr":{"type":"numeric_atoms","value":3401,"base":2}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1143,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1342,"base":2},"right_expr":{"type":"numeric_atoms","value":2935,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4136,"base":2},"right_expr":{"type":"numeric_atoms","value":2039,"base":2}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4625,"base":2},"right_expr":{"type":"numeric_atoms","value":6527,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":8417,"base":2},"right_expr":{"type":"numeric_atoms","value":2596,"base":2}}}}},"used_operators":["7j4O788W3g","T2fj7uvVaJ","i8ToyICDmI","sdazOOVcIp","X99M06cbEe","oacrs7FA3X","QMFrweE19q","U7g4x0WXJJ","DhbWaqg5eL","DZ8iAZOCBD","bJkvcejdHO","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z"],"result":"≮⫘↔10111110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1263","layer":4},{"info":"number node, value=3401","layer":4},{"info":"compute binary expreesion, left_input=1263, right_input=3401, 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=-4174","layer":3},{"info":"number node, value=1143","layer":4},{"info":"compute unary expreesion, input=1143, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3687","layer":3},{"info":"compute binary expreesion, left_input=-4174, right_input=3687, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1342","layer":4},{"info":"number node, value=2935","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=2935, 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=13363","layer":3},{"info":"number node, value=4136","layer":4},{"info":"number node, value=2039","layer":4},{"info":"compute binary expreesion, left_input=4136, right_input=2039, 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=13363, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, 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":1},{"info":"number node, value=4625","layer":4},{"info":"number node, value=6527","layer":4},{"info":"compute binary expreesion, left_input=4625, right_input=6527, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1197402","layer":3},{"info":"number node, value=8417","layer":4},{"info":"number node, value=2596","layer":4},{"info":"compute binary expreesion, left_input=8417, right_input=2596, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute binary expreesion, left_input=1197402, right_input=3, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2394804","layer":2},{"info":"compute unary expreesion, input=2394804, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1522","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10011101111⪨≂≮⫘↔110101001001)∲⫓(≮⫘↔10001110111≫≃))⋓(≮⫘↔10100111110⫡⨏≮⫘↔101101110111)⪘⫢(≮⫘↔1000000101000∑⇟⊟≮⫘↔11111110111)↺(+⊝⨔(≮⫘↔1001000010001≎⊠⪸≮⫘↔1100101111111⊉≛↸(≮⫘↔10000011100001/≮⫘↔101000100100)))=≮⫘↔10111110010","reverse_text":"≮⫘↔10111110010=((≮⫘↔10011101111⪨≂≮⫘↔110101001001)∲⫓(≮⫘↔10001110111≫≃))⋓(≮⫘↔10100111110⫡⨏≮⫘↔101101110111)⪘⫢(≮⫘↔1000000101000∑⇟⊟≮⫘↔11111110111)↺(+⊝⨔(≮⫘↔1001000010001≎⊠⪸≮⫘↔1100101111111⊉≛↸(≮⫘↔10000011100001/≮⫘↔101000100100)))","cot":[{"info":"≮⫘↔10011101111⪨≂≮⫘↔110101001001=≮⫘↔-1000001001110","layer":3},{"info":"≮⫘↔10001110111≫≃=≮⫘↔111001100111","layer":3},{"info":"≮⫘↔-1000001001110∲⫓≮⫘↔111001100111=≮⫘↔0","layer":2},{"info":"≮⫘↔10100111110⫡⨏≮⫘↔101101110111=≮⫘↔11010000110011","layer":3},{"info":"≮⫘↔1000000101000∑⇟⊟≮⫘↔11111110111=NaN","layer":3},{"info":"≮⫘↔11010000110011⪘⫢NaN=NaN","layer":2},{"info":"≮⫘↔0⋓NaN=NaN","layer":1},{"info":"≮⫘↔1001000010001≎⊠⪸≮⫘↔1100101111111=≮⫘↔100100100010101011010","layer":3},{"info":"≮⫘↔10000011100001/≮⫘↔101000100100=≮⫘↔11","layer":3},{"info":"≮⫘↔100100100010101011010⊉≛↸≮⫘↔11=≮⫘↔1001001000101010110100","layer":2},{"info":"+⊝⨔≮⫘↔1001001000101010110100=≮⫘↔10111110010","layer":1},{"info":"NaN↺≮⫘↔10111110010=≮⫘↔10111110010","layer":0}]}
{"id":621,"expression_no_base_symbol":"($1659$↙$3392$⨵⪆($1634$≋⫹))⪢(($4461$⋷$4518$)↬($5821$-$6277$))⩚⊴⇥(($3107$≧⫂∧$6254$⊦⊿)⋷($1620$⨸⪁$7194$)⩷∴($3780$↙$2942$))","expression":"(≮⫘↔11001111011↙≮⫘↔110101000000⨵⪆(≮⫘↔11001100010≋⫹))⪢((≮⫘↔1000101101101⋷≮⫘↔1000110100110)↬(≮⫘↔1011010111101-≮⫘↔1100010000101))⩚⊴⇥((≮⫘↔110000100011≧⫂∧≮⫘↔1100001101110⊦⊿)⋷(≮⫘↔11001010100⨸⪁≮⫘↔1110000011010)⩷∴(≮⫘↔111011000100↙≮⫘↔101101111110))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6371,"operation_count":14,"complexity_ratio":455.07142857142856,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1659,"base":2},"right_expr":{"type":"numeric_atoms","value":3392,"base":2}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1634,"base":2}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4461,"base":2},"right_expr":{"type":"numeric_atoms","value":4518,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5821,"base":2},"right_expr":{"type":"numeric_atoms","value":6277,"base":2}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3107,"base":2},"right_expr":{"type":"numeric_atoms","value":6254,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1620,"base":2},"right_expr":{"type":"numeric_atoms","value":7194,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3780,"base":2},"right_expr":{"type":"numeric_atoms","value":2942,"base":2}}}}},"used_operators":["NTOWxs364D","dWAJyo7jo9","2DQ55sFlQl","yyfyN0ffXY","N41Kp7NANJ","B5M0gjZbta","23Mk6UjR3U","rysDP5nf3Z","14qkJME0vr","Ph9nP6C5qx","9FxExcQeMw","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1659","layer":4},{"info":"number node, value=3392","layer":4},{"info":"compute binary expreesion, left_input=1659, right_input=3392, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10176","layer":3},{"info":"number node, value=1634","layer":4},{"info":"compute unary expreesion, input=1634, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3268","layer":3},{"info":"compute binary expreesion, left_input=-10176, right_input=-3268, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=4461","layer":4},{"info":"number node, value=4518","layer":4},{"info":"compute binary expreesion, left_input=4461, right_input=4518, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4575","layer":3},{"info":"number node, value=5821","layer":4},{"info":"number node, value=6277","layer":4},{"info":"compute binary expreesion, left_input=5821, right_input=6277, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-456","layer":3},{"info":"compute binary expreesion, left_input=4575, right_input=-456, 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=160, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=3107","layer":4},{"info":"number node, value=6254","layer":4},{"info":"compute binary expreesion, left_input=3107, right_input=6254, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5781","layer":3},{"info":"compute unary expreesion, input=5781, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-17422","layer":2},{"info":"number node, value=1620","layer":4},{"info":"number node, value=7194","layer":4},{"info":"compute binary expreesion, left_input=1620, right_input=7194, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17628","layer":3},{"info":"number node, value=3780","layer":4},{"info":"number node, value=2942","layer":4},{"info":"compute binary expreesion, left_input=3780, right_input=2942, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8826","layer":3},{"info":"compute binary expreesion, left_input=17628, right_input=-8826, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=52876","layer":2},{"info":"compute binary expreesion, left_input=-17422, right_input=52876, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=34844","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=34844, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11001111011↙≮⫘↔110101000000⨵⪆(≮⫘↔11001100010≋⫹))⪢((≮⫘↔1000101101101⋷≮⫘↔1000110100110)↬(≮⫘↔1011010111101-≮⫘↔1100010000101))⩚⊴⇥((≮⫘↔110000100011≧⫂∧≮⫘↔1100001101110⊦⊿)⋷(≮⫘↔11001010100⨸⪁≮⫘↔1110000011010)⩷∴(≮⫘↔111011000100↙≮⫘↔101101111110))=NaN","reverse_text":"NaN=(≮⫘↔11001111011↙≮⫘↔110101000000⨵⪆(≮⫘↔11001100010≋⫹))⪢((≮⫘↔1000101101101⋷≮⫘↔1000110100110)↬(≮⫘↔1011010111101-≮⫘↔1100010000101))⩚⊴⇥((≮⫘↔110000100011≧⫂∧≮⫘↔1100001101110⊦⊿)⋷(≮⫘↔11001010100⨸⪁≮⫘↔1110000011010)⩷∴(≮⫘↔111011000100↙≮⫘↔101101111110))","cot":[{"info":"≮⫘↔11001111011↙≮⫘↔110101000000=≮⫘↔-10011111000000","layer":3},{"info":"≮⫘↔11001100010≋⫹=≮⫘↔-110011000100","layer":3},{"info":"≮⫘↔-10011111000000⨵⪆≮⫘↔-110011000100=≮⫘↔10100000","layer":2},{"info":"≮⫘↔1000101101101⋷≮⫘↔1000110100110=≮⫘↔1000111011111","layer":3},{"info":"≮⫘↔1011010111101-≮⫘↔1100010000101=≮⫘↔-111001000","layer":3},{"info":"≮⫘↔1000111011111↬≮⫘↔-111001000=NaN","layer":2},{"info":"≮⫘↔10100000⪢NaN=NaN","layer":1},{"info":"≮⫘↔110000100011≧⫂∧≮⫘↔1100001101110=≮⫘↔1011010010101","layer":3},{"info":"≮⫘↔1011010010101⊦⊿=≮⫘↔-100010000001110","layer":2},{"info":"≮⫘↔11001010100⨸⪁≮⫘↔1110000011010=≮⫘↔100010011011100","layer":3},{"info":"≮⫘↔111011000100↙≮⫘↔101101111110=≮⫘↔-10001001111010","layer":3},{"info":"≮⫘↔100010011011100⩷∴≮⫘↔-10001001111010=≮⫘↔1100111010001100","layer":2},{"info":"≮⫘↔-100010000001110⋷≮⫘↔1100111010001100=≮⫘↔1000100000011100","layer":1},{"info":"NaN⩚⊴⇥≮⫘↔1000100000011100=NaN","layer":0}]}
{"id":622,"expression_no_base_symbol":"(≉$2156$⩚⊴⇥$1208$+⇶⊼$1003$⨓$1255$)≭(+⊝⨔(($7713$⊦⊿)⨽$2858$⨟⋌⩍$5590$))","expression":"(≉≮⫘↔100001101100⩚⊴⇥≮⫘↔10010111000+⇶⊼≮⫘↔1111101011⨓≮⫘↔10011100111)≭(+⊝⨔((≮⫘↔1111000100001⊦⊿)⨽≮⫘↔101100101010⨟⋌⩍≮⫘↔1010111010110))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":24521,"operation_count":9,"complexity_ratio":2724.5555555555557,"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":2156,"base":2},"right_expr":{"type":"numeric_atoms","value":1208,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1003,"base":2},"right_expr":{"type":"numeric_atoms","value":1255,"base":2}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":7713,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2858,"base":2},"right_expr":{"type":"numeric_atoms","value":5590,"base":2}}}}},"used_operators":["rxpJgHHUmx","e1ybzncUwg","TpPTUOHfaN","NTOWxs364D","3ViojmjbAp","DhbWaqg5eL","8HhzD0ZcuI","14qkJME0vr","rGHVDoGpnC"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2156","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=2156, right_input=1208, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3485","layer":3},{"info":"number node, value=1003","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=1255, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1258","layer":3},{"info":"compute binary expreesion, left_input=-3485, right_input=-1258, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"number node, value=7713","layer":4},{"info":"compute unary expreesion, input=7713, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-23218","layer":3},{"info":"number node, value=2858","layer":4},{"info":"number node, value=5590","layer":4},{"info":"compute binary expreesion, left_input=2858, right_input=5590, 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=-23218, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≉≮⫘↔100001101100⩚⊴⇥≮⫘↔10010111000+⇶⊼≮⫘↔1111101011⨓≮⫘↔10011100111)≭(+⊝⨔((≮⫘↔1111000100001⊦⊿)⨽≮⫘↔101100101010⨟⋌⩍≮⫘↔1010111010110))=NaN","reverse_text":"NaN=(≉≮⫘↔100001101100⩚⊴⇥≮⫘↔10010111000+⇶⊼≮⫘↔1111101011⨓≮⫘↔10011100111)≭(+⊝⨔((≮⫘↔1111000100001⊦⊿)⨽≮⫘↔101100101010⨟⋌⩍≮⫘↔1010111010110))","cot":[{"info":"≮⫘↔100001101100⩚⊴⇥≮⫘↔10010111000=≮⫘↔-110110011101","layer":3},{"info":"≮⫘↔1111101011⨓≮⫘↔10011100111=≮⫘↔-10011101010","layer":3},{"info":"≮⫘↔-110110011101+⇶⊼≮⫘↔-10011101010=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"≮⫘↔1111000100001⊦⊿=≮⫘↔-101101010110010","layer":3},{"info":"≮⫘↔101100101010⨟⋌⩍≮⫘↔1010111010110=NaN","layer":3},{"info":"≮⫘↔-101101010110010⨽NaN=NaN","layer":2},{"info":"+⊝⨔NaN=≮⫘↔10111110010","layer":1},{"info":"NaN≭≮⫘↔10111110010=NaN","layer":0}]}
{"id":623,"expression_no_base_symbol":"($2242$⫥∨⫟$1311$/($2592$⋷$1049$))≭($4390$⋝⋈⪟$2319$⨵⪆(+⊝⨔$1475$))⨸⪁(≉($1250$⨎$1169$)⩷∴($4573$≫≃))","expression":"(≮⫘↔100011000010⫥∨⫟≮⫘↔10100011111/(≮⫘↔101000100000⋷≮⫘↔10000011001))≭(≮⫘↔1000100100110⋝⋈⪟≮⫘↔100100001111⨵⪆(+⊝⨔≮⫘↔10111000011))⨸⪁(≉(≮⫘↔10011100010⨎≮⫘↔10010010001)⩷∴(≮⫘↔1000111011101≫≃))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":221,"operation_count":12,"complexity_ratio":18.416666666666668,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2242,"base":2},"right_expr":{"type":"numeric_atoms","value":1311,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2592,"base":2},"right_expr":{"type":"numeric_atoms","value":1049,"base":2}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4390,"base":2},"right_expr":{"type":"numeric_atoms","value":2319,"base":2}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1475,"base":2}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1250,"base":2},"right_expr":{"type":"numeric_atoms","value":1169,"base":2}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4573,"base":2}}}}},"used_operators":["g55IO6H4Gj","rxpJgHHUmx","XhwjNDsVaA","KYD54nUTWz","23Mk6UjR3U","2DQ55sFlQl","2DDjHMKMc0","DhbWaqg5eL","e1ybzncUwg","9FxExcQeMw","rJVOvQCfKK","X99M06cbEe"],"dependent_operators":["W4YGzv6Whe","AHs5Up7iyr","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2242","layer":4},{"info":"number node, value=1311","layer":4},{"info":"compute binary expreesion, left_input=2242, right_input=1311, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2592","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=2592, right_input=1049, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-494","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-494, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4390","layer":4},{"info":"number node, value=2319","layer":4},{"info":"compute binary expreesion, left_input=4390, right_input=2319, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4390","layer":3},{"info":"number node, value=1475","layer":4},{"info":"compute unary expreesion, input=1475, 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=4390, right_input=1522, 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 = 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=1250","layer":4},{"info":"number node, value=1169","layer":4},{"info":"compute binary expreesion, left_input=1250, right_input=1169, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1169","layer":3},{"info":"number node, value=4573","layer":4},{"info":"compute unary expreesion, input=4573, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10547","layer":3},{"info":"compute binary expreesion, left_input=1169, right_input=10547, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-18788","layer":2},{"info":"compute unary expreesion, input=-18788, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-18788","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-18788, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100011000010⫥∨⫟≮⫘↔10100011111/(≮⫘↔101000100000⋷≮⫘↔10000011001))≭(≮⫘↔1000100100110⋝⋈⪟≮⫘↔100100001111⨵⪆(+⊝⨔≮⫘↔10111000011))⨸⪁(≉(≮⫘↔10011100010⨎≮⫘↔10010010001)⩷∴(≮⫘↔1000111011101≫≃))=NaN","reverse_text":"NaN=(≮⫘↔100011000010⫥∨⫟≮⫘↔10100011111/(≮⫘↔101000100000⋷≮⫘↔10000011001))≭(≮⫘↔1000100100110⋝⋈⪟≮⫘↔100100001111⨵⪆(+⊝⨔≮⫘↔10111000011))⨸⪁(≉(≮⫘↔10011100010⨎≮⫘↔10010010001)⩷∴(≮⫘↔1000111011101≫≃))","cot":[{"info":"≮⫘↔100011000010⫥∨⫟≮⫘↔10100011111=NaN","layer":3},{"info":"≮⫘↔101000100000⋷≮⫘↔10000011001=≮⫘↔-111101110","layer":3},{"info":"NaN/≮⫘↔-111101110=NaN","layer":2},{"info":"≮⫘↔1000100100110⋝⋈⪟≮⫘↔100100001111=≮⫘↔1000100100110","layer":3},{"info":"+⊝⨔≮⫘↔10111000011=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔1000100100110⨵⪆≮⫘↔10111110010=≮⫘↔10100000","layer":2},{"info":"NaN≭≮⫘↔10100000=NaN","layer":1},{"info":"≮⫘↔10011100010⨎≮⫘↔10010010001=≮⫘↔10010010001","layer":3},{"info":"≮⫘↔1000111011101≫≃=≮⫘↔10100100110011","layer":3},{"info":"≮⫘↔10010010001⩷∴≮⫘↔10100100110011=≮⫘↔-100100101100100","layer":2},{"info":"≉≮⫘↔-100100101100100=≮⫘↔-100100101100100","layer":1},{"info":"NaN⨸⪁≮⫘↔-100100101100100=NaN","layer":0}]}
{"id":624,"expression_no_base_symbol":"+⊝⨔((($6088$∲⫓$1675$)≭$5160$≧⫂∧$1864$)⪘⫢(($6789$⩚⊴⇥$2419$)≦≮≮))","expression":"+⊝⨔(((≮⫘↔1011111001000∲⫓≮⫘↔11010001011)≭≮⫘↔1010000101000≧⫂∧≮⫘↔11101001000)⪘⫢((≮⫘↔1101010000101⩚⊴⇥≮⫘↔100101110011)≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":39,"operation_count":7,"complexity_ratio":5.571428571428571,"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":6088,"base":2},"right_expr":{"type":"numeric_atoms","value":1675,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5160,"base":2},"right_expr":{"type":"numeric_atoms","value":1864,"base":2}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6789,"base":2},"right_expr":{"type":"numeric_atoms","value":2419,"base":2}}}}},"used_operators":["DhbWaqg5eL","oacrs7FA3X","rxpJgHHUmx","i8ToyICDmI","Ph9nP6C5qx","D4vGDi5EA2","NTOWxs364D"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"≮⫘↔10111110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6088","layer":4},{"info":"number node, value=1675","layer":4},{"info":"compute binary expreesion, left_input=6088, right_input=1675, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=5160","layer":4},{"info":"number node, value=1864","layer":4},{"info":"compute binary expreesion, left_input=5160, right_input=1864, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1391","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1391, 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=6789","layer":4},{"info":"number node, value=2419","layer":4},{"info":"compute binary expreesion, left_input=6789, right_input=2419, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9329","layer":3},{"info":"compute unary expreesion, input=-9329, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=27987","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=27987, 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 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":2,"result_base":2,"text":"+⊝⨔(((≮⫘↔1011111001000∲⫓≮⫘↔11010001011)≭≮⫘↔1010000101000≧⫂∧≮⫘↔11101001000)⪘⫢((≮⫘↔1101010000101⩚⊴⇥≮⫘↔100101110011)≦≮≮))=≮⫘↔10111110010","reverse_text":"≮⫘↔10111110010=+⊝⨔(((≮⫘↔1011111001000∲⫓≮⫘↔11010001011)≭≮⫘↔1010000101000≧⫂∧≮⫘↔11101001000)⪘⫢((≮⫘↔1101010000101⩚⊴⇥≮⫘↔100101110011)≦≮≮))","cot":[{"info":"≮⫘↔1011111001000∲⫓≮⫘↔11010001011=≮⫘↔0","layer":3},{"info":"≮⫘↔1010000101000≧⫂∧≮⫘↔11101001000=≮⫘↔10101101111","layer":3},{"info":"≮⫘↔0≭≮⫘↔10101101111=NaN","layer":2},{"info":"≮⫘↔1101010000101⩚⊴⇥≮⫘↔100101110011=≮⫘↔-10010001110001","layer":3},{"info":"≮⫘↔-10010001110001≦≮≮=≮⫘↔110110101010011","layer":2},{"info":"NaN⪘⫢≮⫘↔110110101010011=NaN","layer":1},{"info":"+⊝⨔NaN=≮⫘↔10111110010","layer":0}]}
{"id":625,"expression_no_base_symbol":"($6711$⩚⊴⇥$1106$⩚⊴⇥($3118$⊘)⪒($5709$-$7631$)⋓($5690$⨐⩸⫘$2688$))⨰(↯⪼(↽≂($1156$⩤)))","expression":"(≮⫘↔1101000110111⩚⊴⇥≮⫘↔10001010010⩚⊴⇥(≮⫘↔110000101110⊘)⪒(≮⫘↔1011001001101-≮⫘↔1110111001111)⋓(≮⫘↔1011000111010⨐⩸⫘≮⫘↔101010000000))⨰(↯⪼(↽≂(≮⫘↔10010000100⩤)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":84,"operation_count":11,"complexity_ratio":7.636363636363637,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6711,"base":2},"right_expr":{"type":"numeric_atoms","value":1106,"base":2}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3118,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5709,"base":2},"right_expr":{"type":"numeric_atoms","value":7631,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5690,"base":2},"right_expr":{"type":"numeric_atoms","value":2688,"base":2}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1156,"base":2}}}}},"used_operators":["eewbuw0ToL","f6k1SAg4EE","NTOWxs364D","gu96TGCTMs","T2fj7uvVaJ","rysDP5nf3Z","fu6greOZ01","8jW3W4yZS5","u6S6b8DprG","Z2TMIBDE3Q"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","3ViojmjbAp","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6711","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=6711, right_input=1106, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7938","layer":3},{"info":"number node, value=3118","layer":4},{"info":"compute unary expreesion, input=3118, 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=-7938, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=7817","layer":2},{"info":"number node, value=5709","layer":4},{"info":"number node, value=7631","layer":4},{"info":"compute binary expreesion, left_input=5709, right_input=7631, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1922","layer":3},{"info":"number node, value=5690","layer":4},{"info":"number node, value=2688","layer":4},{"info":"compute binary expreesion, left_input=5690, right_input=2688, 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=-1922, 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=7817, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1156","layer":4},{"info":"compute unary expreesion, input=1156, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1156","layer":3},{"info":"compute unary expreesion, input=-1156, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=2312","layer":2},{"info":"compute unary expreesion, input=2312, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1101000110111⩚⊴⇥≮⫘↔10001010010⩚⊴⇥(≮⫘↔110000101110⊘)⪒(≮⫘↔1011001001101-≮⫘↔1110111001111)⋓(≮⫘↔1011000111010⨐⩸⫘≮⫘↔101010000000))⨰(↯⪼(↽≂(≮⫘↔10010000100⩤)))=NaN","reverse_text":"NaN=(≮⫘↔1101000110111⩚⊴⇥≮⫘↔10001010010⩚⊴⇥(≮⫘↔110000101110⊘)⪒(≮⫘↔1011001001101-≮⫘↔1110111001111)⋓(≮⫘↔1011000111010⨐⩸⫘≮⫘↔101010000000))⨰(↯⪼(↽≂(≮⫘↔10010000100⩤)))","cot":[{"info":"≮⫘↔1101000110111⩚⊴⇥≮⫘↔10001010010=≮⫘↔-1111100000010","layer":3},{"info":"≮⫘↔110000101110⊘=≮⫘↔0","layer":3},{"info":"≮⫘↔-1111100000010⩚⊴⇥≮⫘↔0=≮⫘↔1111010001001","layer":2},{"info":"≮⫘↔1011001001101-≮⫘↔1110111001111=≮⫘↔-11110000010","layer":3},{"info":"≮⫘↔1011000111010⨐⩸⫘≮⫘↔101010000000=NaN","layer":3},{"info":"≮⫘↔-11110000010⋓NaN=NaN","layer":2},{"info":"≮⫘↔1111010001001⪒NaN=NaN","layer":1},{"info":"≮⫘↔10010000100⩤=≮⫘↔-10010000100","layer":3},{"info":"↽≂≮⫘↔-10010000100=≮⫘↔100100001000","layer":2},{"info":"↯⪼≮⫘↔100100001000=≮⫘↔-10101","layer":1},{"info":"NaN⨰≮⫘↔-10101=NaN","layer":0}]}
{"id":626,"expression_no_base_symbol":"(↥($2429$+$1498$))⪘⫢($1097$⪛$4043$⨳⩥⨓$4159$⪮%⊝$2442$)⫌⩹⨱","expression":"(↥(≮⫘↔100101111101+≮⫘↔10111011010))⪘⫢(≮⫘↔10001001001⪛≮⫘↔111111001011⨳⩥⨓≮⫘↔1000000111111⪮%⊝≮⫘↔100110001010)⫌⩹⨱","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":119,"operation_count":7,"complexity_ratio":17.0,"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":2429,"base":2},"right_expr":{"type":"numeric_atoms","value":1498,"base":2}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1097,"base":2},"right_expr":{"type":"numeric_atoms","value":4043,"base":2}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4159,"base":2},"right_expr":{"type":"numeric_atoms","value":2442,"base":2}}}}},"used_operators":["EBcxylXtPf","oacrs7FA3X","A8NUZmVepG","W4YGzv6Whe","nCS4ZIUYfx","uFcxV4UQCh","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"≮⫘↔-1110001111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2429","layer":4},{"info":"number node, value=1498","layer":4},{"info":"compute binary expreesion, left_input=2429, right_input=1498, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3927","layer":3},{"info":"compute unary expreesion, input=3927, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":2},{"info":"number node, value=1097","layer":4},{"info":"number node, value=4043","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=4043, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1097","layer":3},{"info":"number node, value=4159","layer":4},{"info":"number node, value=2442","layer":4},{"info":"compute binary expreesion, left_input=4159, right_input=2442, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8634","layer":3},{"info":"compute binary expreesion, left_input=1097, right_input=8634, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=7537","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=7537, 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":1},{"info":"compute unary expreesion, input=-1156, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-911","layer":0}],"base":2,"result_base":2,"text":"(↥(≮⫘↔100101111101+≮⫘↔10111011010))⪘⫢(≮⫘↔10001001001⪛≮⫘↔111111001011⨳⩥⨓≮⫘↔1000000111111⪮%⊝≮⫘↔100110001010)⫌⩹⨱=≮⫘↔-1110001111","reverse_text":"≮⫘↔-1110001111=(↥(≮⫘↔100101111101+≮⫘↔10111011010))⪘⫢(≮⫘↔10001001001⪛≮⫘↔111111001011⨳⩥⨓≮⫘↔1000000111111⪮%⊝≮⫘↔100110001010)⫌⩹⨱","cot":[{"info":"≮⫘↔100101111101+≮⫘↔10111011010=≮⫘↔111101010111","layer":3},{"info":"↥≮⫘↔111101010111=≮⫘↔0","layer":2},{"info":"≮⫘↔10001001001⪛≮⫘↔111111001011=≮⫘↔10001001001","layer":3},{"info":"≮⫘↔1000000111111⪮%⊝≮⫘↔100110001010=≮⫘↔10000110111010","layer":3},{"info":"≮⫘↔10001001001⨳⩥⨓≮⫘↔10000110111010=≮⫘↔1110101110001","layer":2},{"info":"≮⫘↔0⪘⫢≮⫘↔1110101110001=≮⫘↔-10010000100","layer":1},{"info":"≮⫘↔-10010000100⫌⩹⨱=≮⫘↔-1110001111","layer":0}]}
{"id":627,"expression_no_base_symbol":"≉($2649$⋥≓≎$1285$↺($1357$-$4594$))⪮%⊝($4501$⋥≓≎$3934$⨳⩥⨓(↽≂$2768$))","expression":"≉(≮⫘↔101001011001⋥≓≎≮⫘↔10100000101↺(≮⫘↔10101001101-≮⫘↔1000111110010))⪮%⊝(≮⫘↔1000110010101⋥≓≎≮⫘↔111101011110⨳⩥⨓(↽≂≮⫘↔101011010000))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":27,"operation_count":8,"complexity_ratio":3.375,"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":2649,"base":2},"right_expr":{"type":"numeric_atoms","value":1285,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1357,"base":2},"right_expr":{"type":"numeric_atoms","value":4594,"base":2}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4501,"base":2},"right_expr":{"type":"numeric_atoms","value":3934,"base":2}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2768,"base":2}}}}},"used_operators":["e1ybzncUwg","IWmyXbctLI","7j4O788W3g","Qy55tPpLXF","rysDP5nf3Z","nCS4ZIUYfx","u6S6b8DprG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-1100000001110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2649","layer":4},{"info":"number node, value=1285","layer":4},{"info":"compute binary expreesion, left_input=2649, right_input=1285, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-46","layer":3},{"info":"number node, value=1357","layer":4},{"info":"number node, value=4594","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=4594, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3237","layer":3},{"info":"compute binary expreesion, left_input=-46, right_input=-3237, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-3237","layer":2},{"info":"number node, value=4501","layer":4},{"info":"number node, value=3934","layer":4},{"info":"compute binary expreesion, left_input=4501, right_input=3934, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3400","layer":3},{"info":"number node, value=2768","layer":4},{"info":"compute unary expreesion, input=2768, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5536","layer":3},{"info":"compute binary expreesion, left_input=3400, right_input=-5536, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-8936","layer":2},{"info":"compute binary expreesion, left_input=-3237, right_input=-8936, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-6158","layer":1},{"info":"compute unary expreesion, input=-6158, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-6158","layer":0}],"base":2,"result_base":2,"text":"≉(≮⫘↔101001011001⋥≓≎≮⫘↔10100000101↺(≮⫘↔10101001101-≮⫘↔1000111110010))⪮%⊝(≮⫘↔1000110010101⋥≓≎≮⫘↔111101011110⨳⩥⨓(↽≂≮⫘↔101011010000))=≮⫘↔-1100000001110","reverse_text":"≮⫘↔-1100000001110=≉(≮⫘↔101001011001⋥≓≎≮⫘↔10100000101↺(≮⫘↔10101001101-≮⫘↔1000111110010))⪮%⊝(≮⫘↔1000110010101⋥≓≎≮⫘↔111101011110⨳⩥⨓(↽≂≮⫘↔101011010000))","cot":[{"info":"≮⫘↔101001011001⋥≓≎≮⫘↔10100000101=≮⫘↔-101110","layer":3},{"info":"≮⫘↔10101001101-≮⫘↔1000111110010=≮⫘↔-110010100101","layer":3},{"info":"≮⫘↔-101110↺≮⫘↔-110010100101=≮⫘↔-110010100101","layer":2},{"info":"≮⫘↔1000110010101⋥≓≎≮⫘↔111101011110=≮⫘↔110101001000","layer":3},{"info":"↽≂≮⫘↔101011010000=≮⫘↔-1010110100000","layer":3},{"info":"≮⫘↔110101001000⨳⩥⨓≮⫘↔-1010110100000=≮⫘↔-10001011101000","layer":2},{"info":"≮⫘↔-110010100101⪮%⊝≮⫘↔-10001011101000=≮⫘↔-1100000001110","layer":1},{"info":"≉≮⫘↔-1100000001110=≮⫘↔-1100000001110","layer":0}]}
{"id":628,"expression_no_base_symbol":"(($2455$⨸⪁$2746$)↺($5863$/$2951$))⪮%⊝((⊄⩳↩$1571$)/$2608$⨓$3803$)⪛($1908$⪛$5469$∑⇟⊟$1366$⇷$3030$⨎(≤/$3588$)≭($2427$-$1854$))","expression":"((≮⫘↔100110010111⨸⪁≮⫘↔101010111010)↺(≮⫘↔1011011100111/≮⫘↔101110000111))⪮%⊝((⊄⩳↩≮⫘↔11000100011)/≮⫘↔101000110000⨓≮⫘↔111011011011)⪛(≮⫘↔11101110100⪛≮⫘↔1010101011101∑⇟⊟≮⫘↔10101010110⇷≮⫘↔101111010110⨎(≤/≮⫘↔111000000100)≭(≮⫘↔100101111011-≮⫘↔11100111110))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":22971,"operation_count":15,"complexity_ratio":1531.4,"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":2455,"base":2},"right_expr":{"type":"numeric_atoms","value":2746,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5863,"base":2},"right_expr":{"type":"numeric_atoms","value":2951,"base":2}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1571,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2608,"base":2},"right_expr":{"type":"numeric_atoms","value":3803,"base":2}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1908,"base":2},"right_expr":{"type":"numeric_atoms","value":5469,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1366,"base":2},"right_expr":{"type":"numeric_atoms","value":3030,"base":2}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3588,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2427,"base":2},"right_expr":{"type":"numeric_atoms","value":1854,"base":2}}}}},"used_operators":["uFcxV4UQCh","IWmyXbctLI","7j4O788W3g","g55IO6H4Gj","XhwjNDsVaA","8w2t5hMYqp","3ViojmjbAp","rJVOvQCfKK","U7g4x0WXJJ","mp7IySMOzn","rxpJgHHUmx","eLAdDNolq6","rysDP5nf3Z"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2455","layer":4},{"info":"number node, value=2746","layer":4},{"info":"compute binary expreesion, left_input=2455, right_input=2746, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10402","layer":3},{"info":"number node, value=5863","layer":4},{"info":"number node, value=2951","layer":4},{"info":"compute binary expreesion, left_input=5863, right_input=2951, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=10402, right_input=1, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1","layer":2},{"info":"number node, value=1571","layer":4},{"info":"compute unary expreesion, input=1571, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4713","layer":3},{"info":"number node, value=2608","layer":4},{"info":"number node, value=3803","layer":4},{"info":"compute binary expreesion, left_input=2608, right_input=3803, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3806","layer":3},{"info":"compute binary expreesion, left_input=-4713, right_input=-3806, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":2},{"info":"compute binary expreesion, left_input=1, right_input=1, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=318","layer":1},{"info":"number node, value=1908","layer":4},{"info":"number node, value=5469","layer":4},{"info":"compute binary expreesion, left_input=1908, right_input=5469, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1908","layer":3},{"info":"number node, value=1366","layer":4},{"info":"number node, value=3030","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=3030, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6060","layer":3},{"info":"compute binary expreesion, left_input=1908, right_input=6060, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=3588","layer":4},{"info":"compute unary expreesion, input=3588, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3104","layer":3},{"info":"number node, value=2427","layer":4},{"info":"number node, value=1854","layer":4},{"info":"compute binary expreesion, left_input=2427, right_input=1854, op_id = rysDP5nf3Z binary_op_definition= 'None', output=573","layer":3},{"info":"compute binary expreesion, left_input=-3104, right_input=573, 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 = 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=318, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100110010111⨸⪁≮⫘↔101010111010)↺(≮⫘↔1011011100111/≮⫘↔101110000111))⪮%⊝((⊄⩳↩≮⫘↔11000100011)/≮⫘↔101000110000⨓≮⫘↔111011011011)⪛(≮⫘↔11101110100⪛≮⫘↔1010101011101∑⇟⊟≮⫘↔10101010110⇷≮⫘↔101111010110⨎(≤/≮⫘↔111000000100)≭(≮⫘↔100101111011-≮⫘↔11100111110))=NaN","reverse_text":"NaN=((≮⫘↔100110010111⨸⪁≮⫘↔101010111010)↺(≮⫘↔1011011100111/≮⫘↔101110000111))⪮%⊝((⊄⩳↩≮⫘↔11000100011)/≮⫘↔101000110000⨓≮⫘↔111011011011)⪛(≮⫘↔11101110100⪛≮⫘↔1010101011101∑⇟⊟≮⫘↔10101010110⇷≮⫘↔101111010110⨎(≤/≮⫘↔111000000100)≭(≮⫘↔100101111011-≮⫘↔11100111110))","cot":[{"info":"≮⫘↔100110010111⨸⪁≮⫘↔101010111010=≮⫘↔10100010100010","layer":3},{"info":"≮⫘↔1011011100111/≮⫘↔101110000111=≮⫘↔1","layer":3},{"info":"≮⫘↔10100010100010↺≮⫘↔1=≮⫘↔1","layer":2},{"info":"⊄⩳↩≮⫘↔11000100011=≮⫘↔-1001001101001","layer":3},{"info":"≮⫘↔101000110000⨓≮⫘↔111011011011=≮⫘↔-111011011110","layer":3},{"info":"≮⫘↔-1001001101001/≮⫘↔-111011011110=≮⫘↔1","layer":2},{"info":"≮⫘↔1⪮%⊝≮⫘↔1=≮⫘↔100111110","layer":1},{"info":"≮⫘↔11101110100⪛≮⫘↔1010101011101=≮⫘↔11101110100","layer":3},{"info":"≮⫘↔10101010110⇷≮⫘↔101111010110=≮⫘↔1011110101100","layer":3},{"info":"≮⫘↔11101110100∑⇟⊟≮⫘↔1011110101100=NaN","layer":2},{"info":"≤/≮⫘↔111000000100=≮⫘↔-110000100000","layer":3},{"info":"≮⫘↔100101111011-≮⫘↔11100111110=≮⫘↔1000111101","layer":3},{"info":"≮⫘↔-110000100000≭≮⫘↔1000111101=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"≮⫘↔100111110⪛NaN=NaN","layer":0}]}
{"id":629,"expression_no_base_symbol":"⪝⪂⫅(($3826$*$2409$)≹⇙⪍($1130$⪨≂$1051$)⨸⪁$1331$⪘⫢$1567$⋥≓≎($7682$∸))","expression":"⪝⪂⫅((≮⫘↔111011110010*≮⫘↔100101101001)≹⇙⪍(≮⫘↔10001101010⪨≂≮⫘↔10000011011)⨸⪁≮⫘↔10100110011⪘⫢≮⫘↔11000011111⋥≓≎(≮⫘↔1111000000010∸))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3009422,"operation_count":8,"complexity_ratio":376177.75,"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":3826,"base":2},"right_expr":{"type":"numeric_atoms","value":2409,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1130,"base":2},"right_expr":{"type":"numeric_atoms","value":1051,"base":2}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1331,"base":2},"right_expr":{"type":"numeric_atoms","value":1567,"base":2}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":7682,"base":2}}}}},"used_operators":["XTarYq4gQB","g55IO6H4Gj","AHs5Up7iyr","9HNa5Wba9A","sdazOOVcIp","Qy55tPpLXF","oacrs7FA3X","o20kRiQErp"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3826","layer":4},{"info":"number node, value=2409","layer":4},{"info":"compute binary expreesion, left_input=3826, right_input=2409, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9216834","layer":3},{"info":"number node, value=1130","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=1051, 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=260","layer":3},{"info":"compute binary expreesion, left_input=9216834, 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=1331","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=1567, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2538","layer":3},{"info":"number node, value=7682","layer":4},{"info":"compute unary expreesion, input=7682, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=2538, right_input=177, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2151","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2151, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⪝⪂⫅((≮⫘↔111011110010*≮⫘↔100101101001)≹⇙⪍(≮⫘↔10001101010⪨≂≮⫘↔10000011011)⨸⪁≮⫘↔10100110011⪘⫢≮⫘↔11000011111⋥≓≎(≮⫘↔1111000000010∸))=NaN","reverse_text":"NaN=⪝⪂⫅((≮⫘↔111011110010*≮⫘↔100101101001)≹⇙⪍(≮⫘↔10001101010⪨≂≮⫘↔10000011011)⨸⪁≮⫘↔10100110011⪘⫢≮⫘↔11000011111⋥≓≎(≮⫘↔1111000000010∸))","cot":[{"info":"≮⫘↔111011110010*≮⫘↔100101101001=≮⫘↔100011001010001101000010","layer":3},{"info":"≮⫘↔10001101010⪨≂≮⫘↔10000011011=≮⫘↔100000100","layer":3},{"info":"≮⫘↔100011001010001101000010≹⇙⪍≮⫘↔100000100=NaN","layer":2},{"info":"≮⫘↔10100110011⪘⫢≮⫘↔11000011111=≮⫘↔100111101010","layer":3},{"info":"≮⫘↔1111000000010∸=≮⫘↔10110001","layer":3},{"info":"≮⫘↔100111101010⋥≓≎≮⫘↔10110001=≮⫘↔-100001100111","layer":2},{"info":"NaN⨸⪁≮⫘↔-100001100111=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":630,"expression_no_base_symbol":"(+⊝⨔((↽≂$1378$)⊭↱(⊥$4988$)))⊴(($1097$⪒$1052$)⨎($1816$↺$5879$)⫥∨⫟($5259$≎⊠⪸$2378$)⨪↰⇹$5842$⊴$1470$)","expression":"(+⊝⨔((↽≂≮⫘↔10101100010)⊭↱(⊥≮⫘↔1001101111100)))⊴((≮⫘↔10001001001⪒≮⫘↔10000011100)⨎(≮⫘↔11100011000↺≮⫘↔1011011110111)⫥∨⫟(≮⫘↔1010010001011≎⊠⪸≮⫘↔100101001010)⨪↰⇹≮⫘↔1011011010010⊴≮⫘↔10110111110)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6032,"operation_count":12,"complexity_ratio":502.6666666666667,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1378,"base":2}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4988,"base":2}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1097,"base":2},"right_expr":{"type":"numeric_atoms","value":1052,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1816,"base":2},"right_expr":{"type":"numeric_atoms","value":5879,"base":2}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5259,"base":2},"right_expr":{"type":"numeric_atoms","value":2378,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5842,"base":2},"right_expr":{"type":"numeric_atoms","value":1470,"base":2}}}}},"used_operators":["Nsiff2A1zJ","DhbWaqg5eL","COABgblf1C","u6S6b8DprG","Q3PJZHRvZv","KYD54nUTWz","rJVOvQCfKK","f6k1SAg4EE","7j4O788W3g","tmPS8pqC7x","bJkvcejdHO"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","8HhzD0ZcuI","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1378","layer":4},{"info":"compute unary expreesion, input=1378, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2756","layer":3},{"info":"number node, value=4988","layer":4},{"info":"compute unary expreesion, input=4988, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2756, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', 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=1097","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=1052, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2149","layer":3},{"info":"number node, value=1816","layer":4},{"info":"number node, value=5879","layer":4},{"info":"compute binary expreesion, left_input=1816, right_input=5879, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5879","layer":3},{"info":"compute binary expreesion, left_input=-2149, right_input=5879, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5879","layer":2},{"info":"number node, value=5259","layer":4},{"info":"number node, value=2378","layer":4},{"info":"compute binary expreesion, left_input=5259, right_input=2378, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1361608","layer":3},{"info":"number node, value=5842","layer":4},{"info":"number node, value=1470","layer":4},{"info":"compute binary expreesion, left_input=5842, right_input=1470, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1361608, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5879, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(+⊝⨔((↽≂≮⫘↔10101100010)⊭↱(⊥≮⫘↔1001101111100)))⊴((≮⫘↔10001001001⪒≮⫘↔10000011100)⨎(≮⫘↔11100011000↺≮⫘↔1011011110111)⫥∨⫟(≮⫘↔1010010001011≎⊠⪸≮⫘↔100101001010)⨪↰⇹≮⫘↔1011011010010⊴≮⫘↔10110111110)=NaN","reverse_text":"NaN=(+⊝⨔((↽≂≮⫘↔10101100010)⊭↱(⊥≮⫘↔1001101111100)))⊴((≮⫘↔10001001001⪒≮⫘↔10000011100)⨎(≮⫘↔11100011000↺≮⫘↔1011011110111)⫥∨⫟(≮⫘↔1010010001011≎⊠⪸≮⫘↔100101001010)⨪↰⇹≮⫘↔1011011010010⊴≮⫘↔10110111110)","cot":[{"info":"↽≂≮⫘↔10101100010=≮⫘↔-101011000100","layer":3},{"info":"⊥≮⫘↔1001101111100=NaN","layer":3},{"info":"≮⫘↔-101011000100⊭↱NaN=NaN","layer":2},{"info":"+⊝⨔NaN=≮⫘↔10111110010","layer":1},{"info":"≮⫘↔10001001001⪒≮⫘↔10000011100=≮⫘↔-100001100101","layer":3},{"info":"≮⫘↔11100011000↺≮⫘↔1011011110111=≮⫘↔1011011110111","layer":3},{"info":"≮⫘↔-100001100101⨎≮⫘↔1011011110111=≮⫘↔1011011110111","layer":2},{"info":"≮⫘↔1010010001011≎⊠⪸≮⫘↔100101001010=≮⫘↔101001100011011001000","layer":3},{"info":"≮⫘↔1011011010010⊴≮⫘↔10110111110=NaN","layer":3},{"info":"≮⫘↔101001100011011001000⨪↰⇹NaN=NaN","layer":2},{"info":"≮⫘↔1011011110111⫥∨⫟NaN=NaN","layer":1},{"info":"≮⫘↔10111110010⊴NaN=NaN","layer":0}]}
{"id":631,"expression_no_base_symbol":"(⪝⪂⫅(⊄⩳↩$2394$⪢$1252$))⫥∨⫟(↩$1601$⊴$5141$⪮%⊝(⪲⇎$1041$))","expression":"(⪝⪂⫅(⊄⩳↩≮⫘↔100101011010⪢≮⫘↔10011100100))⫥∨⫟(↩≮⫘↔11001000001⊴≮⫘↔1010000010101⪮%⊝(⪲⇎≮⫘↔10000010001))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6694,"operation_count":8,"complexity_ratio":836.75,"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":2394,"base":2},"right_expr":{"type":"numeric_atoms","value":1252,"base":2}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1601,"base":2},"right_expr":{"type":"numeric_atoms","value":5141,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1041,"base":2}}}}},"used_operators":["KYD54nUTWz","XTarYq4gQB","8w2t5hMYqp","dWAJyo7jo9","jLgFTUHLKL","IWmyXbctLI","Nsiff2A1zJ","XPYlsWDdGa"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2394","layer":4},{"info":"number node, value=1252","layer":4},{"info":"compute binary expreesion, left_input=2394, right_input=1252, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"number node, value=1601","layer":4},{"info":"number node, value=5141","layer":4},{"info":"compute binary expreesion, left_input=1601, right_input=5141, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1041","layer":4},{"info":"compute unary expreesion, input=1041, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2082","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2082, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', 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=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⪝⪂⫅(⊄⩳↩≮⫘↔100101011010⪢≮⫘↔10011100100))⫥∨⫟(↩≮⫘↔11001000001⊴≮⫘↔1010000010101⪮%⊝(⪲⇎≮⫘↔10000010001))=NaN","reverse_text":"NaN=(⪝⪂⫅(⊄⩳↩≮⫘↔100101011010⪢≮⫘↔10011100100))⫥∨⫟(↩≮⫘↔11001000001⊴≮⫘↔1010000010101⪮%⊝(⪲⇎≮⫘↔10000010001))","cot":[{"info":"≮⫘↔100101011010⪢≮⫘↔10011100100=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"≮⫘↔11001000001⊴≮⫘↔1010000010101=NaN","layer":3},{"info":"⪲⇎≮⫘↔10000010001=≮⫘↔100000100010","layer":3},{"info":"NaN⪮%⊝≮⫘↔100000100010=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":632,"expression_no_base_symbol":"(($6524$⊭∹↮)⨪↰⇹(⪝⪂⫅$2012$)⨁⊸⫻)⫩⊇","expression":"((≮⫘↔1100101111100⊭∹↮)⨪↰⇹(⪝⪂⫅≮⫘↔11111011100)⨁⊸⫻)⫩⊇","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13207,"operation_count":5,"complexity_ratio":2641.4,"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":6524,"base":2}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2012,"base":2}}}}},"used_operators":["BjRHVeLaeN","glklzrTFfD","tmPS8pqC7x","xNBdhnnwKq","XTarYq4gQB"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rJVOvQCfKK","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp"],"result":"≮⫘↔-11001011001110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6524","layer":4},{"info":"compute unary expreesion, input=6524, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=13048","layer":3},{"info":"number node, value=2012","layer":4},{"info":"compute unary expreesion, input=2012, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-295764","layer":3},{"info":"compute binary expreesion, left_input=13048, right_input=-295764, 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=13048","layer":2},{"info":"compute unary expreesion, input=13048, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=13048","layer":1},{"info":"compute unary expreesion, input=13048, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-13006","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1100101111100⊭∹↮)⨪↰⇹(⪝⪂⫅≮⫘↔11111011100)⨁⊸⫻)⫩⊇=≮⫘↔-11001011001110","reverse_text":"≮⫘↔-11001011001110=((≮⫘↔1100101111100⊭∹↮)⨪↰⇹(⪝⪂⫅≮⫘↔11111011100)⨁⊸⫻)⫩⊇","cot":[{"info":"≮⫘↔1100101111100⊭∹↮=≮⫘↔11001011111000","layer":3},{"info":"⪝⪂⫅≮⫘↔11111011100=≮⫘↔-1001000001101010100","layer":3},{"info":"≮⫘↔11001011111000⨪↰⇹≮⫘↔-1001000001101010100=≮⫘↔11001011111000","layer":2},{"info":"≮⫘↔11001011111000⨁⊸⫻=≮⫘↔11001011111000","layer":1},{"info":"≮⫘↔11001011111000⫩⊇=≮⫘↔-11001011001110","layer":0}]}
{"id":633,"expression_no_base_symbol":"(⊥(($1665$⫡⨏$9555$)⋳⪒$3848$⩷∴$7745$))≦≮≮","expression":"(⊥((≮⫘↔11010000001⫡⨏≮⫘↔10010101010011)⋳⪒≮⫘↔111100001000⩷∴≮⫘↔1111001000001))≦≮≮","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":24,"operation_count":5,"complexity_ratio":4.8,"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":1665,"base":2},"right_expr":{"type":"numeric_atoms","value":9555,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3848,"base":2},"right_expr":{"type":"numeric_atoms","value":7745,"base":2}}}}},"used_operators":["D4vGDi5EA2","Q3PJZHRvZv","12rbrZMWeM","QMFrweE19q","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1665","layer":4},{"info":"number node, value=9555","layer":4},{"info":"compute binary expreesion, left_input=1665, right_input=9555, 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=28218","layer":3},{"info":"number node, value=3848","layer":4},{"info":"number node, value=7745","layer":4},{"info":"compute binary expreesion, left_input=3848, right_input=7745, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7826","layer":3},{"info":"compute binary expreesion, left_input=28218, right_input=-7826, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=63975","layer":2},{"info":"compute unary expreesion, input=63975, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊥((≮⫘↔11010000001⫡⨏≮⫘↔10010101010011)⋳⪒≮⫘↔111100001000⩷∴≮⫘↔1111001000001))≦≮≮=NaN","reverse_text":"NaN=(⊥((≮⫘↔11010000001⫡⨏≮⫘↔10010101010011)⋳⪒≮⫘↔111100001000⩷∴≮⫘↔1111001000001))≦≮≮","cot":[{"info":"≮⫘↔11010000001⫡⨏≮⫘↔10010101010011=≮⫘↔110111000111010","layer":3},{"info":"≮⫘↔111100001000⩷∴≮⫘↔1111001000001=≮⫘↔-1111010010010","layer":3},{"info":"≮⫘↔110111000111010⋳⪒≮⫘↔-1111010010010=≮⫘↔1111100111100111","layer":2},{"info":"⊥≮⫘↔1111100111100111=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":634,"expression_no_base_symbol":"≉($2501$⨎$4220$⫌⩹⨱)⨪↰⇹(↽≂($3330$↛⩡⫤))","expression":"≉(≮⫘↔100111000101⨎≮⫘↔1000001111100⫌⩹⨱)⨪↰⇹(↽≂(≮⫘↔110100000010↛⩡⫤))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":19978,"operation_count":6,"complexity_ratio":3329.6666666666665,"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":2501,"base":2},"right_expr":{"type":"numeric_atoms","value":4220,"base":2}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3330,"base":2}}}}},"used_operators":["e1ybzncUwg","tmPS8pqC7x","EBcxylXtPf","rJVOvQCfKK","u6S6b8DprG","FU0Cs4j7VP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"≮⫘↔10100010000100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2501","layer":4},{"info":"number node, value=4220","layer":4},{"info":"compute binary expreesion, left_input=2501, right_input=4220, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4220","layer":3},{"info":"compute unary expreesion, input=4220, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=9841","layer":2},{"info":"number node, value=3330","layer":4},{"info":"compute unary expreesion, input=3330, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-498919","layer":3},{"info":"compute unary expreesion, input=-498919, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=997838","layer":2},{"info":"compute binary expreesion, left_input=9841, right_input=997838, 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=9841","layer":1},{"info":"compute unary expreesion, input=9841, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=10372","layer":0}],"base":2,"result_base":2,"text":"≉(≮⫘↔100111000101⨎≮⫘↔1000001111100⫌⩹⨱)⨪↰⇹(↽≂(≮⫘↔110100000010↛⩡⫤))=≮⫘↔10100010000100","reverse_text":"≮⫘↔10100010000100=≉(≮⫘↔100111000101⨎≮⫘↔1000001111100⫌⩹⨱)⨪↰⇹(↽≂(≮⫘↔110100000010↛⩡⫤))","cot":[{"info":"≮⫘↔100111000101⨎≮⫘↔1000001111100=≮⫘↔1000001111100","layer":3},{"info":"≮⫘↔1000001111100⫌⩹⨱=≮⫘↔10011001110001","layer":2},{"info":"≮⫘↔110100000010↛⩡⫤=≮⫘↔-1111001110011100111","layer":3},{"info":"↽≂≮⫘↔-1111001110011100111=≮⫘↔11110011100111001110","layer":2},{"info":"≮⫘↔10011001110001⨪↰⇹≮⫘↔11110011100111001110=≮⫘↔10011001110001","layer":1},{"info":"≉≮⫘↔10011001110001=≮⫘↔10100010000100","layer":0}]}
{"id":635,"expression_no_base_symbol":"⇁⨣⪵(⩦⩻⨪($1274$⪒$3738$)⨓$1277$⪘⫢$1332$)","expression":"⇁⨣⪵(⩦⩻⨪(≮⫘↔10011111010⪒≮⫘↔111010011010)⨓≮⫘↔10011111101⪘⫢≮⫘↔10100110100)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2458,"operation_count":5,"complexity_ratio":491.6,"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":1274,"base":2},"right_expr":{"type":"numeric_atoms","value":3738,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1277,"base":2},"right_expr":{"type":"numeric_atoms","value":1332,"base":2}}}}},"used_operators":["inkyxCbjAn","2td37pGCOC","3ViojmjbAp","f6k1SAg4EE","oacrs7FA3X"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1274","layer":4},{"info":"number node, value=3738","layer":4},{"info":"compute binary expreesion, left_input=1274, right_input=3738, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5012","layer":3},{"info":"number node, value=1277","layer":4},{"info":"number node, value=1332","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=1332, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2430","layer":3},{"info":"compute binary expreesion, left_input=-5012, right_input=2430, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2433","layer":2},{"info":"compute unary expreesion, input=-2433, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-2433","layer":1},{"info":"compute unary expreesion, input=-2433, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⇁⨣⪵(⩦⩻⨪(≮⫘↔10011111010⪒≮⫘↔111010011010)⨓≮⫘↔10011111101⪘⫢≮⫘↔10100110100)=NaN","reverse_text":"NaN=⇁⨣⪵(⩦⩻⨪(≮⫘↔10011111010⪒≮⫘↔111010011010)⨓≮⫘↔10011111101⪘⫢≮⫘↔10100110100)","cot":[{"info":"≮⫘↔10011111010⪒≮⫘↔111010011010=≮⫘↔-1001110010100","layer":3},{"info":"≮⫘↔10011111101⪘⫢≮⫘↔10100110100=≮⫘↔100101111110","layer":3},{"info":"≮⫘↔-1001110010100⨓≮⫘↔100101111110=≮⫘↔-100110000001","layer":2},{"info":"⩦⩻⨪≮⫘↔-100110000001=≮⫘↔-100110000001","layer":1},{"info":"⇁⨣⪵≮⫘↔-100110000001=NaN","layer":0}]}
{"id":636,"expression_no_base_symbol":"((↥$5518$)⋓($2107$%$4142$)⨰(⊥($5559$↙$6216$)))⪘⫢($3332$%$2471$⪨≂(≦∁$7409$)/(⊙↵-(≦∁$7823$)))","expression":"((↥≮⫘↔1010110001110)⋓(≮⫘↔100000111011%≮⫘↔1000000101110)⨰(⊥(≮⫘↔1010110110111↙≮⫘↔1100001001000)))⪘⫢(≮⫘↔110100000100%≮⫘↔100110100111⪨≂(≦∁≮⫘↔1110011110001)/(⊙↵-(≦∁≮⫘↔1111010001111)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27228,"operation_count":13,"complexity_ratio":2094.4615384615386,"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":5518,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2107,"base":2},"right_expr":{"type":"numeric_atoms","value":4142,"base":2}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5559,"base":2},"right_expr":{"type":"numeric_atoms","value":6216,"base":2}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3332,"base":2},"right_expr":{"type":"numeric_atoms","value":2471,"base":2}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":7409,"base":2}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":7823,"base":2}}}}},"used_operators":["oacrs7FA3X","eewbuw0ToL","T2fj7uvVaJ","A8NUZmVepG","k8jYdgA6NY","Q3PJZHRvZv","yyfyN0ffXY","XhwjNDsVaA","sdazOOVcIp","9ICcGScMcE","oWn0xqSxBt"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","rysDP5nf3Z","fu6greOZ01","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5518","layer":4},{"info":"compute unary expreesion, input=5518, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=10","layer":3},{"info":"number node, value=2107","layer":4},{"info":"number node, value=4142","layer":4},{"info":"compute binary expreesion, left_input=2107, right_input=4142, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2107","layer":3},{"info":"compute binary expreesion, left_input=10, right_input=2107, 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=5559","layer":4},{"info":"number node, value=6216","layer":4},{"info":"compute binary expreesion, left_input=5559, right_input=6216, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-18648","layer":3},{"info":"compute unary expreesion, input=-18648, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=3332","layer":4},{"info":"number node, value=2471","layer":4},{"info":"compute binary expreesion, left_input=3332, right_input=2471, op_id = k8jYdgA6NY binary_op_definition= 'None', output=861","layer":3},{"info":"number node, value=7409","layer":4},{"info":"compute unary expreesion, input=7409, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=7409","layer":3},{"info":"compute binary expreesion, left_input=861, right_input=7409, 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=-12994","layer":2},{"info":"number node, value=7823","layer":4},{"info":"compute unary expreesion, input=7823, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=7823","layer":3},{"info":"compute unary expreesion, input=7823, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-12994, right_input=-1, op_id = XhwjNDsVaA binary_op_definition= 'None', output=12994","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=12994, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((↥≮⫘↔1010110001110)⋓(≮⫘↔100000111011%≮⫘↔1000000101110)⨰(⊥(≮⫘↔1010110110111↙≮⫘↔1100001001000)))⪘⫢(≮⫘↔110100000100%≮⫘↔100110100111⪨≂(≦∁≮⫘↔1110011110001)/(⊙↵-(≦∁≮⫘↔1111010001111)))=NaN","reverse_text":"NaN=((↥≮⫘↔1010110001110)⋓(≮⫘↔100000111011%≮⫘↔1000000101110)⨰(⊥(≮⫘↔1010110110111↙≮⫘↔1100001001000)))⪘⫢(≮⫘↔110100000100%≮⫘↔100110100111⪨≂(≦∁≮⫘↔1110011110001)/(⊙↵-(≦∁≮⫘↔1111010001111)))","cot":[{"info":"↥≮⫘↔1010110001110=≮⫘↔1010","layer":3},{"info":"≮⫘↔100000111011%≮⫘↔1000000101110=≮⫘↔100000111011","layer":3},{"info":"≮⫘↔1010⋓≮⫘↔100000111011=≮⫘↔0","layer":2},{"info":"≮⫘↔1010110110111↙≮⫘↔1100001001000=≮⫘↔-100100011011000","layer":3},{"info":"⊥≮⫘↔-100100011011000=NaN","layer":2},{"info":"≮⫘↔0⨰NaN=NaN","layer":1},{"info":"≮⫘↔110100000100%≮⫘↔100110100111=≮⫘↔1101011101","layer":3},{"info":"≦∁≮⫘↔1110011110001=≮⫘↔1110011110001","layer":3},{"info":"≮⫘↔1101011101⪨≂≮⫘↔1110011110001=≮⫘↔-11001011000010","layer":2},{"info":"≦∁≮⫘↔1111010001111=≮⫘↔1111010001111","layer":3},{"info":"⊙↵-≮⫘↔1111010001111=≮⫘↔-1","layer":2},{"info":"≮⫘↔-11001011000010/≮⫘↔-1=≮⫘↔11001011000010","layer":1},{"info":"NaN⪘⫢≮⫘↔11001011000010=NaN","layer":0}]}
{"id":637,"expression_no_base_symbol":"(⨰⫟⨤($2559$⨐⩸⫘$1243$⊭↱$1906$⩚⊴⇥$7367$))⫥∨⫟(⫛⫱⨽(($9256$⨵⪆$1456$)⇷($2910$⊠≄⫣)))","expression":"(⨰⫟⨤(≮⫘↔100111111111⨐⩸⫘≮⫘↔10011011011⊭↱≮⫘↔11101110010⩚⊴⇥≮⫘↔1110011000111))⫥∨⫟(⫛⫱⨽((≮⫘↔10010000101000⨵⪆≮⫘↔10110110000)⇷(≮⫘↔101101011110⊠≄⫣)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3355,"operation_count":9,"complexity_ratio":372.77777777777777,"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":2559,"base":2},"right_expr":{"type":"numeric_atoms","value":1243,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1906,"base":2},"right_expr":{"type":"numeric_atoms","value":7367,"base":2}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":9256,"base":2},"right_expr":{"type":"numeric_atoms","value":1456,"base":2}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2910,"base":2}}}}},"used_operators":["KYD54nUTWz","Tw270M8GLb","COABgblf1C","fu6greOZ01","NTOWxs364D","DlLNRPXxWL","mp7IySMOzn","2DQ55sFlQl","DIvbN7qnHd"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2559","layer":4},{"info":"number node, value=1243","layer":4},{"info":"compute binary expreesion, left_input=2559, right_input=1243, 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=1906","layer":4},{"info":"number node, value=7367","layer":4},{"info":"compute binary expreesion, left_input=1906, right_input=7367, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9394","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9394, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', 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":"number node, value=9256","layer":4},{"info":"number node, value=1456","layer":4},{"info":"compute binary expreesion, left_input=9256, right_input=1456, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2910","layer":4},{"info":"compute unary expreesion, input=2910, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨰⫟⨤(≮⫘↔100111111111⨐⩸⫘≮⫘↔10011011011⊭↱≮⫘↔11101110010⩚⊴⇥≮⫘↔1110011000111))⫥∨⫟(⫛⫱⨽((≮⫘↔10010000101000⨵⪆≮⫘↔10110110000)⇷(≮⫘↔101101011110⊠≄⫣)))=NaN","reverse_text":"NaN=(⨰⫟⨤(≮⫘↔100111111111⨐⩸⫘≮⫘↔10011011011⊭↱≮⫘↔11101110010⩚⊴⇥≮⫘↔1110011000111))⫥∨⫟(⫛⫱⨽((≮⫘↔10010000101000⨵⪆≮⫘↔10110110000)⇷(≮⫘↔101101011110⊠≄⫣)))","cot":[{"info":"≮⫘↔100111111111⨐⩸⫘≮⫘↔10011011011=NaN","layer":3},{"info":"≮⫘↔11101110010⩚⊴⇥≮⫘↔1110011000111=≮⫘↔-10010010110010","layer":3},{"info":"NaN⊭↱≮⫘↔-10010010110010=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"≮⫘↔10010000101000⨵⪆≮⫘↔10110110000=≮⫘↔10100000","layer":3},{"info":"≮⫘↔101101011110⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔10100000⇷≮⫘↔0=≮⫘↔0","layer":2},{"info":"⫛⫱⨽≮⫘↔0=≮⫘↔0","layer":1},{"info":"NaN⫥∨⫟≮⫘↔0=NaN","layer":0}]}
{"id":638,"expression_no_base_symbol":"($3847$+⇶⊼$7259$∲⫓$3982$⩚⊴⇥$4305$)⊴((≉$1617$)≎⊠⪸(⨵≀≌$7409$))⨸⪁(($1358$↙$3104$)⋝⋈⪟$3268$⊴$4330$⨵⪆(⨈⫕$1326$)⩨(⊄⩳↩$1291$))","expression":"(≮⫘↔111100000111+⇶⊼≮⫘↔1110001011011∲⫓≮⫘↔111110001110⩚⊴⇥≮⫘↔1000011010001)⊴((≉≮⫘↔11001010001)≎⊠⪸(⨵≀≌≮⫘↔1110011110001))⨸⪁((≮⫘↔10101001110↙≮⫘↔110000100000)⋝⋈⪟≮⫘↔110011000100⊴≮⫘↔1000011101010⨵⪆(⨈⫕≮⫘↔10100101110)⩨(⊄⩳↩≮⫘↔10100001011))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8120,"operation_count":15,"complexity_ratio":541.3333333333334,"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":3847,"base":2},"right_expr":{"type":"numeric_atoms","value":7259,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3982,"base":2},"right_expr":{"type":"numeric_atoms","value":4305,"base":2}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1617,"base":2}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":7409,"base":2}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1358,"base":2},"right_expr":{"type":"numeric_atoms","value":3104,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3268,"base":2},"right_expr":{"type":"numeric_atoms","value":4330,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1326,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1291,"base":2}}}}},"used_operators":["g55IO6H4Gj","Nsiff2A1zJ","i8ToyICDmI","TpPTUOHfaN","NTOWxs364D","bJkvcejdHO","e1ybzncUwg","srAu1WTS94","2DQ55sFlQl","2DDjHMKMc0","yyfyN0ffXY","2DlMacCsIx","megm06wKyl","8w2t5hMYqp"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3847","layer":4},{"info":"number node, value=7259","layer":4},{"info":"compute binary expreesion, left_input=3847, right_input=7259, 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=3982","layer":4},{"info":"number node, value=4305","layer":4},{"info":"compute binary expreesion, left_input=3982, right_input=4305, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8408","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8408, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=1617","layer":4},{"info":"compute unary expreesion, input=1617, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2148","layer":3},{"info":"number node, value=7409","layer":4},{"info":"compute unary expreesion, input=7409, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-22227","layer":3},{"info":"compute binary expreesion, left_input=2148, right_input=-22227, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1358","layer":4},{"info":"number node, value=3104","layer":4},{"info":"compute binary expreesion, left_input=1358, right_input=3104, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9312","layer":3},{"info":"number node, value=3268","layer":4},{"info":"number node, value=4330","layer":4},{"info":"compute binary expreesion, left_input=3268, right_input=4330, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-9312, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1326","layer":4},{"info":"compute unary expreesion, input=1326, 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=1291","layer":4},{"info":"compute unary expreesion, input=1291, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3873","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-3873, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-552","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-552, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔111100000111+⇶⊼≮⫘↔1110001011011∲⫓≮⫘↔111110001110⩚⊴⇥≮⫘↔1000011010001)⊴((≉≮⫘↔11001010001)≎⊠⪸(⨵≀≌≮⫘↔1110011110001))⨸⪁((≮⫘↔10101001110↙≮⫘↔110000100000)⋝⋈⪟≮⫘↔110011000100⊴≮⫘↔1000011101010⨵⪆(⨈⫕≮⫘↔10100101110)⩨(⊄⩳↩≮⫘↔10100001011))=NaN","reverse_text":"NaN=(≮⫘↔111100000111+⇶⊼≮⫘↔1110001011011∲⫓≮⫘↔111110001110⩚⊴⇥≮⫘↔1000011010001)⊴((≉≮⫘↔11001010001)≎⊠⪸(⨵≀≌≮⫘↔1110011110001))⨸⪁((≮⫘↔10101001110↙≮⫘↔110000100000)⋝⋈⪟≮⫘↔110011000100⊴≮⫘↔1000011101010⨵⪆(⨈⫕≮⫘↔10100101110)⩨(⊄⩳↩≮⫘↔10100001011))","cot":[{"info":"≮⫘↔111100000111+⇶⊼≮⫘↔1110001011011=NaN","layer":3},{"info":"≮⫘↔111110001110⩚⊴⇥≮⫘↔1000011010001=≮⫘↔-10000011011000","layer":3},{"info":"NaN∲⫓≮⫘↔-10000011011000=NaN","layer":2},{"info":"≉≮⫘↔11001010001=≮⫘↔100001100100","layer":3},{"info":"⨵≀≌≮⫘↔1110011110001=≮⫘↔-101011011010011","layer":3},{"info":"≮⫘↔100001100100≎⊠⪸≮⫘↔-101011011010011=≮⫘↔1000011","layer":2},{"info":"NaN⊴≮⫘↔1000011=NaN","layer":1},{"info":"≮⫘↔10101001110↙≮⫘↔110000100000=≮⫘↔-10010001100000","layer":3},{"info":"≮⫘↔110011000100⊴≮⫘↔1000011101010=NaN","layer":3},{"info":"≮⫘↔-10010001100000⋝⋈⪟NaN=NaN","layer":2},{"info":"⨈⫕≮⫘↔10100101110=≮⫘↔-10101","layer":3},{"info":"⊄⩳↩≮⫘↔10100001011=≮⫘↔-111100100001","layer":3},{"info":"≮⫘↔-10101⩨≮⫘↔-111100100001=≮⫘↔-1000101000","layer":2},{"info":"NaN⨵⪆≮⫘↔-1000101000=≮⫘↔10100000","layer":1},{"info":"NaN⨸⪁≮⫘↔10100000=NaN","layer":0}]}
{"id":639,"expression_no_base_symbol":"($5401$⪘⫢$1558$)⨟⋌⩍$1457$⊴$4723$⪛($3258$⪮%⊝$3763$⪨≂$3809$⩚⊴⇥$2940$)-($5705$⩨$2531$)≧⫂∧($2449$⨸⪁$1818$)⪒($1520$*$1887$)≎⊠⪸$5798$⪘⫢$2374$","expression":"(≮⫘↔1010100011001⪘⫢≮⫘↔11000010110)⨟⋌⩍≮⫘↔10110110001⊴≮⫘↔1001001110011⪛(≮⫘↔110010111010⪮%⊝≮⫘↔111010110011⪨≂≮⫘↔111011100001⩚⊴⇥≮⫘↔101101111100)-(≮⫘↔1011001001001⩨≮⫘↔100111100011)≧⫂∧(≮⫘↔100110010001⨸⪁≮⫘↔11100011010)⪒(≮⫘↔10111110000*≮⫘↔11101011111)≎⊠⪸≮⫘↔1011010100110⪘⫢≮⫘↔100101000110","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6583,"operation_count":15,"complexity_ratio":438.8666666666667,"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":5401,"base":2},"right_expr":{"type":"numeric_atoms","value":1558,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1457,"base":2},"right_expr":{"type":"numeric_atoms","value":4723,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3258,"base":2},"right_expr":{"type":"numeric_atoms","value":3763,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3809,"base":2},"right_expr":{"type":"numeric_atoms","value":2940,"base":2}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5705,"base":2},"right_expr":{"type":"numeric_atoms","value":2531,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2449,"base":2},"right_expr":{"type":"numeric_atoms","value":1818,"base":2}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1520,"base":2},"right_expr":{"type":"numeric_atoms","value":1887,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5798,"base":2},"right_expr":{"type":"numeric_atoms","value":2374,"base":2}}}}},"used_operators":["rysDP5nf3Z","uFcxV4UQCh","rGHVDoGpnC","oacrs7FA3X","Nsiff2A1zJ","sdazOOVcIp","IWmyXbctLI","NTOWxs364D","f6k1SAg4EE","Ph9nP6C5qx","2DlMacCsIx","g55IO6H4Gj","bJkvcejdHO","9HNa5Wba9A"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Tcnh7f0tEr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5401","layer":4},{"info":"number node, value=1558","layer":4},{"info":"compute binary expreesion, left_input=5401, right_input=1558, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10678","layer":3},{"info":"number node, value=1457","layer":4},{"info":"number node, value=4723","layer":4},{"info":"compute binary expreesion, left_input=1457, right_input=4723, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10678, 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":"number node, value=3258","layer":4},{"info":"number node, value=3763","layer":4},{"info":"compute binary expreesion, left_input=3258, right_input=3763, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6832","layer":3},{"info":"number node, value=3809","layer":4},{"info":"number node, value=2940","layer":4},{"info":"compute binary expreesion, left_input=3809, right_input=2940, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6870","layer":3},{"info":"compute binary expreesion, left_input=6832, right_input=-6870, 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=27506","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=27506, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=5705","layer":4},{"info":"number node, value=2531","layer":4},{"info":"compute binary expreesion, left_input=5705, right_input=2531, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2449","layer":4},{"info":"number node, value=1818","layer":4},{"info":"compute binary expreesion, left_input=2449, right_input=1818, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8534","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8534, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8061","layer":2},{"info":"number node, value=1520","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=1520, right_input=1887, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2868240","layer":3},{"info":"number node, value=5798","layer":4},{"info":"number node, value=2374","layer":4},{"info":"compute binary expreesion, left_input=5798, right_input=2374, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11472","layer":3},{"info":"compute binary expreesion, left_input=2868240, right_input=11472, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=742873687","layer":2},{"info":"compute binary expreesion, left_input=8061, right_input=742873687, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-742881748","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-742881748, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1010100011001⪘⫢≮⫘↔11000010110)⨟⋌⩍≮⫘↔10110110001⊴≮⫘↔1001001110011⪛(≮⫘↔110010111010⪮%⊝≮⫘↔111010110011⪨≂≮⫘↔111011100001⩚⊴⇥≮⫘↔101101111100)-(≮⫘↔1011001001001⩨≮⫘↔100111100011)≧⫂∧(≮⫘↔100110010001⨸⪁≮⫘↔11100011010)⪒(≮⫘↔10111110000*≮⫘↔11101011111)≎⊠⪸≮⫘↔1011010100110⪘⫢≮⫘↔100101000110=NaN","reverse_text":"NaN=(≮⫘↔1010100011001⪘⫢≮⫘↔11000010110)⨟⋌⩍≮⫘↔10110110001⊴≮⫘↔1001001110011⪛(≮⫘↔110010111010⪮%⊝≮⫘↔111010110011⪨≂≮⫘↔111011100001⩚⊴⇥≮⫘↔101101111100)-(≮⫘↔1011001001001⩨≮⫘↔100111100011)≧⫂∧(≮⫘↔100110010001⨸⪁≮⫘↔11100011010)⪒(≮⫘↔10111110000*≮⫘↔11101011111)≎⊠⪸≮⫘↔1011010100110⪘⫢≮⫘↔100101000110","cot":[{"info":"≮⫘↔1010100011001⪘⫢≮⫘↔11000010110=≮⫘↔10100110110110","layer":3},{"info":"≮⫘↔10110110001⊴≮⫘↔1001001110011=NaN","layer":3},{"info":"≮⫘↔10100110110110⨟⋌⩍NaN=NaN","layer":2},{"info":"≮⫘↔110010111010⪮%⊝≮⫘↔111010110011=≮⫘↔1101010110000","layer":3},{"info":"≮⫘↔111011100001⩚⊴⇥≮⫘↔101101111100=≮⫘↔-1101011010110","layer":3},{"info":"≮⫘↔1101010110000⪨≂≮⫘↔-1101011010110=≮⫘↔110101101110010","layer":2},{"info":"NaN⪛≮⫘↔110101101110010=NaN","layer":1},{"info":"≮⫘↔1011001001001⩨≮⫘↔100111100011=≮⫘↔0","layer":3},{"info":"≮⫘↔100110010001⨸⪁≮⫘↔11100011010=≮⫘↔10000101010110","layer":3},{"info":"≮⫘↔0≧⫂∧≮⫘↔10000101010110=≮⫘↔1111101111101","layer":2},{"info":"≮⫘↔10111110000*≮⫘↔11101011111=≮⫘↔1010111100010000010000","layer":3},{"info":"≮⫘↔1011010100110⪘⫢≮⫘↔100101000110=≮⫘↔10110011010000","layer":3},{"info":"≮⫘↔1010111100010000010000≎⊠⪸≮⫘↔10110011010000=≮⫘↔101100010001110101101001010111","layer":2},{"info":"≮⫘↔1111101111101⪒≮⫘↔101100010001110101101001010111=≮⫘↔-101100010001110111100111010100","layer":1},{"info":"NaN-≮⫘↔-101100010001110111100111010100=NaN","layer":0}]}
{"id":640,"expression_no_base_symbol":"(($8731$⪢$3549$⪨≂$6583$⨸⪁$7668$)⇼⇔∾$1243$⪢$2165$⨳⩥⨓$1377$⨟⋌⩍$5558$)↬(((+⊝⨔$1348$)-$5315$⨪↰⇹$3575$)⫥∨⫟($2421$⊉≛↸$2439$)≧⫂∧($5330$⩚⊴⇥$1362$))","expression":"((≮⫘↔10001000011011⪢≮⫘↔110111011101⪨≂≮⫘↔1100110110111⨸⪁≮⫘↔1110111110100)⇼⇔∾≮⫘↔10011011011⪢≮⫘↔100001110101⨳⩥⨓≮⫘↔10101100001⨟⋌⩍≮⫘↔1010110110110)↬(((+⊝⨔≮⫘↔10101000100)-≮⫘↔1010011000011⨪↰⇹≮⫘↔110111110111)⫥∨⫟(≮⫘↔100101110101⊉≛↸≮⫘↔100110000111)≧⫂∧(≮⫘↔1010011010010⩚⊴⇥≮⫘↔10101010010))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22069,"operation_count":15,"complexity_ratio":1471.2666666666667,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":8731,"base":2},"right_expr":{"type":"numeric_atoms","value":3549,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6583,"base":2},"right_expr":{"type":"numeric_atoms","value":7668,"base":2}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1243,"base":2},"right_expr":{"type":"numeric_atoms","value":2165,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1377,"base":2},"right_expr":{"type":"numeric_atoms","value":5558,"base":2}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1348,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5315,"base":2},"right_expr":{"type":"numeric_atoms","value":3575,"base":2}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2421,"base":2},"right_expr":{"type":"numeric_atoms","value":2439,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5330,"base":2},"right_expr":{"type":"numeric_atoms","value":1362,"base":2}}}}},"used_operators":["B5M0gjZbta","tifHPKVTfV","sdazOOVcIp","dWAJyo7jo9","g55IO6H4Gj","nCS4ZIUYfx","rGHVDoGpnC","KYD54nUTWz","rysDP5nf3Z","DhbWaqg5eL","tmPS8pqC7x","Ph9nP6C5qx","DZ8iAZOCBD","NTOWxs364D"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8731","layer":4},{"info":"number node, value=3549","layer":4},{"info":"compute binary expreesion, left_input=8731, right_input=3549, 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=6583","layer":4},{"info":"number node, value=7668","layer":4},{"info":"compute binary expreesion, left_input=6583, right_input=7668, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=28502","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=28502, 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=1243","layer":4},{"info":"number node, value=2165","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=2165, 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=1377","layer":4},{"info":"number node, value=5558","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=5558, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1348","layer":4},{"info":"compute unary expreesion, input=1348, 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=5315","layer":4},{"info":"number node, value=3575","layer":4},{"info":"compute binary expreesion, left_input=5315, right_input=3575, 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=5315","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=5315, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3793","layer":2},{"info":"number node, value=2421","layer":4},{"info":"number node, value=2439","layer":4},{"info":"compute binary expreesion, left_input=2421, right_input=2439, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4842","layer":3},{"info":"number node, value=5330","layer":4},{"info":"number node, value=1362","layer":4},{"info":"compute binary expreesion, left_input=5330, right_input=1362, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6813","layer":3},{"info":"compute binary expreesion, left_input=4842, right_input=-6813, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=11655","layer":2},{"info":"compute binary expreesion, left_input=-3793, right_input=11655, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10001000011011⪢≮⫘↔110111011101⪨≂≮⫘↔1100110110111⨸⪁≮⫘↔1110111110100)⇼⇔∾≮⫘↔10011011011⪢≮⫘↔100001110101⨳⩥⨓≮⫘↔10101100001⨟⋌⩍≮⫘↔1010110110110)↬(((+⊝⨔≮⫘↔10101000100)-≮⫘↔1010011000011⨪↰⇹≮⫘↔110111110111)⫥∨⫟(≮⫘↔100101110101⊉≛↸≮⫘↔100110000111)≧⫂∧(≮⫘↔1010011010010⩚⊴⇥≮⫘↔10101010010))=NaN","reverse_text":"NaN=((≮⫘↔10001000011011⪢≮⫘↔110111011101⪨≂≮⫘↔1100110110111⨸⪁≮⫘↔1110111110100)⇼⇔∾≮⫘↔10011011011⪢≮⫘↔100001110101⨳⩥⨓≮⫘↔10101100001⨟⋌⩍≮⫘↔1010110110110)↬(((+⊝⨔≮⫘↔10101000100)-≮⫘↔1010011000011⨪↰⇹≮⫘↔110111110111)⫥∨⫟(≮⫘↔100101110101⊉≛↸≮⫘↔100110000111)≧⫂∧(≮⫘↔1010011010010⩚⊴⇥≮⫘↔10101010010))","cot":[{"info":"≮⫘↔10001000011011⪢≮⫘↔110111011101=NaN","layer":3},{"info":"≮⫘↔1100110110111⨸⪁≮⫘↔1110111110100=≮⫘↔110111101010110","layer":3},{"info":"NaN⪨≂≮⫘↔110111101010110=NaN","layer":2},{"info":"≮⫘↔10011011011⪢≮⫘↔100001110101=NaN","layer":3},{"info":"≮⫘↔10101100001⨟⋌⩍≮⫘↔1010110110110=NaN","layer":3},{"info":"NaN⨳⩥⨓NaN=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"+⊝⨔≮⫘↔10101000100=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔1010011000011⨪↰⇹≮⫘↔110111110111=≮⫘↔1010011000011","layer":3},{"info":"≮⫘↔10111110010-≮⫘↔1010011000011=≮⫘↔-111011010001","layer":2},{"info":"≮⫘↔100101110101⊉≛↸≮⫘↔100110000111=≮⫘↔1001011101010","layer":3},{"info":"≮⫘↔1010011010010⩚⊴⇥≮⫘↔10101010010=≮⫘↔-1101010011101","layer":3},{"info":"≮⫘↔1001011101010≧⫂∧≮⫘↔-1101010011101=≮⫘↔10110110000111","layer":2},{"info":"≮⫘↔-111011010001⫥∨⫟≮⫘↔10110110000111=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":641,"expression_no_base_symbol":"($5363$⩨$1054$∲⫓$1083$⪘⫢$1360$)⨟⋌⩍(($6117$⪨≂$1848$)⋥≓≎($3312$∲⫓$1611$))-((⇁⨣⪵$6403$)⪛($1066$↺$5863$)+($3045$⨵⪆$3788$)⨸⪁($7077$↛⩡⫤))","expression":"(≮⫘↔1010011110011⩨≮⫘↔10000011110∲⫓≮⫘↔10000111011⪘⫢≮⫘↔10101010000)⨟⋌⩍((≮⫘↔1011111100101⪨≂≮⫘↔11100111000)⋥≓≎(≮⫘↔110011110000∲⫓≮⫘↔11001001011))-((⇁⨣⪵≮⫘↔1100100000011)⪛(≮⫘↔10000101010↺≮⫘↔1011011100111)+(≮⫘↔101111100101⨵⪆≮⫘↔111011001100)⨸⪁(≮⫘↔1101110100101↛⩡⫤))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21411,"operation_count":15,"complexity_ratio":1427.4,"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":5363,"base":2},"right_expr":{"type":"numeric_atoms","value":1054,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1083,"base":2},"right_expr":{"type":"numeric_atoms","value":1360,"base":2}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6117,"base":2},"right_expr":{"type":"numeric_atoms","value":1848,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3312,"base":2},"right_expr":{"type":"numeric_atoms","value":1611,"base":2}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6403,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1066,"base":2},"right_expr":{"type":"numeric_atoms","value":5863,"base":2}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3045,"base":2},"right_expr":{"type":"numeric_atoms","value":3788,"base":2}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":7077,"base":2}}}}},"used_operators":["rysDP5nf3Z","rGHVDoGpnC","i8ToyICDmI","2DlMacCsIx","oacrs7FA3X","Qy55tPpLXF","sdazOOVcIp","W4YGzv6Whe","uFcxV4UQCh","inkyxCbjAn","7j4O788W3g","g55IO6H4Gj","2DQ55sFlQl","FU0Cs4j7VP"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5363","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=5363, right_input=1054, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1083","layer":4},{"info":"number node, value=1360","layer":4},{"info":"compute binary expreesion, left_input=1083, right_input=1360, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2042","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2042, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=6117","layer":4},{"info":"number node, value=1848","layer":4},{"info":"compute binary expreesion, left_input=6117, right_input=1848, 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=8640","layer":3},{"info":"number node, value=3312","layer":4},{"info":"number node, value=1611","layer":4},{"info":"compute binary expreesion, left_input=3312, right_input=1611, 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=8640, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-8607","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-8607, 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=6403","layer":4},{"info":"compute unary expreesion, input=6403, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1066","layer":4},{"info":"number node, value=5863","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=5863, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5863","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5863, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=3045","layer":4},{"info":"number node, value=3788","layer":4},{"info":"compute binary expreesion, left_input=3045, right_input=3788, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=7077","layer":4},{"info":"compute unary expreesion, input=7077, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1064716","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1064716, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-2129112","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2129112, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1010011110011⩨≮⫘↔10000011110∲⫓≮⫘↔10000111011⪘⫢≮⫘↔10101010000)⨟⋌⩍((≮⫘↔1011111100101⪨≂≮⫘↔11100111000)⋥≓≎(≮⫘↔110011110000∲⫓≮⫘↔11001001011))-((⇁⨣⪵≮⫘↔1100100000011)⪛(≮⫘↔10000101010↺≮⫘↔1011011100111)+(≮⫘↔101111100101⨵⪆≮⫘↔111011001100)⨸⪁(≮⫘↔1101110100101↛⩡⫤))=NaN","reverse_text":"NaN=(≮⫘↔1010011110011⩨≮⫘↔10000011110∲⫓≮⫘↔10000111011⪘⫢≮⫘↔10101010000)⨟⋌⩍((≮⫘↔1011111100101⪨≂≮⫘↔11100111000)⋥≓≎(≮⫘↔110011110000∲⫓≮⫘↔11001001011))-((⇁⨣⪵≮⫘↔1100100000011)⪛(≮⫘↔10000101010↺≮⫘↔1011011100111)+(≮⫘↔101111100101⨵⪆≮⫘↔111011001100)⨸⪁(≮⫘↔1101110100101↛⩡⫤))","cot":[{"info":"≮⫘↔1010011110011⩨≮⫘↔10000011110=≮⫘↔0","layer":3},{"info":"≮⫘↔10000111011⪘⫢≮⫘↔10101010000=≮⫘↔11111111010","layer":3},{"info":"≮⫘↔0∲⫓≮⫘↔11111111010=≮⫘↔0","layer":2},{"info":"≮⫘↔1011111100101⪨≂≮⫘↔11100111000=≮⫘↔10000111000000","layer":3},{"info":"≮⫘↔110011110000∲⫓≮⫘↔11001001011=≮⫘↔0","layer":3},{"info":"≮⫘↔10000111000000⋥≓≎≮⫘↔0=≮⫘↔-10000110011111","layer":2},{"info":"≮⫘↔0⨟⋌⩍≮⫘↔-10000110011111=NaN","layer":1},{"info":"⇁⨣⪵≮⫘↔1100100000011=NaN","layer":3},{"info":"≮⫘↔10000101010↺≮⫘↔1011011100111=≮⫘↔1011011100111","layer":3},{"info":"NaN⪛≮⫘↔1011011100111=NaN","layer":2},{"info":"≮⫘↔101111100101⨵⪆≮⫘↔111011001100=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1101110100101↛⩡⫤=≮⫘↔-100000011111100001100","layer":3},{"info":"≮⫘↔10100000⨸⪁≮⫘↔-100000011111100001100=≮⫘↔-1000000111110011011000","layer":2},{"info":"NaN+≮⫘↔-1000000111110011011000=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":642,"expression_no_base_symbol":"(⊄⩳↩($3097$⋫)∼($3456$⪨≂$4492$))⨳⩥⨓($2785$-$1869$⋷($1816$+$5243$))≎⊠⪸(($3807$⋫)↺($1506$⪨≂$3446$))","expression":"(⊄⩳↩(≮⫘↔110000011001⋫)∼(≮⫘↔110110000000⪨≂≮⫘↔1000110001100))⨳⩥⨓(≮⫘↔101011100001-≮⫘↔11101001101⋷(≮⫘↔11100011000+≮⫘↔1010001111011))≎⊠⪸((≮⫘↔111011011111⋫)↺(≮⫘↔10111100010⪨≂≮⫘↔110101110110))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7000,"operation_count":12,"complexity_ratio":583.3333333333334,"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":3097,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3456,"base":2},"right_expr":{"type":"numeric_atoms","value":4492,"base":2}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2785,"base":2},"right_expr":{"type":"numeric_atoms","value":1869,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1816,"base":2},"right_expr":{"type":"numeric_atoms","value":5243,"base":2}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3807,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1506,"base":2},"right_expr":{"type":"numeric_atoms","value":3446,"base":2}}}}},"used_operators":["nCS4ZIUYfx","8w2t5hMYqp","DyGG3AbaNP","JL8yIekQnl","sdazOOVcIp","bJkvcejdHO","23Mk6UjR3U","rysDP5nf3Z","W4YGzv6Whe","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3097","layer":4},{"info":"compute unary expreesion, input=3097, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3097","layer":3},{"info":"number node, value=3456","layer":4},{"info":"number node, value=4492","layer":4},{"info":"compute binary expreesion, left_input=3456, right_input=4492, 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=-1970","layer":3},{"info":"compute binary expreesion, left_input=3097, right_input=-1970, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=2785","layer":4},{"info":"number node, value=1869","layer":4},{"info":"compute binary expreesion, left_input=2785, right_input=1869, op_id = rysDP5nf3Z binary_op_definition= 'None', output=916","layer":3},{"info":"number node, value=1816","layer":4},{"info":"number node, value=5243","layer":4},{"info":"compute binary expreesion, left_input=1816, right_input=5243, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7059","layer":3},{"info":"compute binary expreesion, left_input=916, right_input=7059, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=13202","layer":2},{"info":"number node, value=3807","layer":4},{"info":"compute unary expreesion, input=3807, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3807","layer":3},{"info":"number node, value=1506","layer":4},{"info":"number node, value=3446","layer":4},{"info":"compute binary expreesion, left_input=1506, right_input=3446, 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=-3778","layer":3},{"info":"compute binary expreesion, left_input=3807, right_input=-3778, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-3778","layer":2},{"info":"compute binary expreesion, left_input=13202, right_input=-3778, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊄⩳↩(≮⫘↔110000011001⋫)∼(≮⫘↔110110000000⪨≂≮⫘↔1000110001100))⨳⩥⨓(≮⫘↔101011100001-≮⫘↔11101001101⋷(≮⫘↔11100011000+≮⫘↔1010001111011))≎⊠⪸((≮⫘↔111011011111⋫)↺(≮⫘↔10111100010⪨≂≮⫘↔110101110110))=NaN","reverse_text":"NaN=(⊄⩳↩(≮⫘↔110000011001⋫)∼(≮⫘↔110110000000⪨≂≮⫘↔1000110001100))⨳⩥⨓(≮⫘↔101011100001-≮⫘↔11101001101⋷(≮⫘↔11100011000+≮⫘↔1010001111011))≎⊠⪸((≮⫘↔111011011111⋫)↺(≮⫘↔10111100010⪨≂≮⫘↔110101110110))","cot":[{"info":"≮⫘↔110000011001⋫=≮⫘↔110000011001","layer":3},{"info":"≮⫘↔110110000000⪨≂≮⫘↔1000110001100=≮⫘↔-11110110010","layer":3},{"info":"≮⫘↔110000011001∼≮⫘↔-11110110010=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"≮⫘↔101011100001-≮⫘↔11101001101=≮⫘↔1110010100","layer":3},{"info":"≮⫘↔11100011000+≮⫘↔1010001111011=≮⫘↔1101110010011","layer":3},{"info":"≮⫘↔1110010100⋷≮⫘↔1101110010011=≮⫘↔11001110010010","layer":2},{"info":"≮⫘↔111011011111⋫=≮⫘↔111011011111","layer":3},{"info":"≮⫘↔10111100010⪨≂≮⫘↔110101110110=≮⫘↔-111011000010","layer":3},{"info":"≮⫘↔111011011111↺≮⫘↔-111011000010=≮⫘↔-111011000010","layer":2},{"info":"≮⫘↔11001110010010≎⊠⪸≮⫘↔-111011000010=≮⫘↔1000011","layer":1},{"info":"NaN⨳⩥⨓≮⫘↔1000011=NaN","layer":0}]}
{"id":643,"expression_no_base_symbol":"(+⊝⨔($8415$⨓$5941$⩚⊴⇥($5585$⪒$7112$)))⫥∨⫟((($5170$⨐⩸⫘$8608$)⫩⊇)↙($1092$⫥∨⫟$2588$⫡⨏(↔$8179$)))","expression":"(+⊝⨔(≮⫘↔10000011011111⨓≮⫘↔1011100110101⩚⊴⇥(≮⫘↔1010111010001⪒≮⫘↔1101111001000)))⫥∨⫟(((≮⫘↔1010000110010⨐⩸⫘≮⫘↔10000110100000)⫩⊇)↙(≮⫘↔10001000100⫥∨⫟≮⫘↔101000011100⫡⨏(↔≮⫘↔1111111110011)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6319,"operation_count":11,"complexity_ratio":574.4545454545455,"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":8415,"base":2},"right_expr":{"type":"numeric_atoms","value":5941,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5585,"base":2},"right_expr":{"type":"numeric_atoms","value":7112,"base":2}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5170,"base":2},"right_expr":{"type":"numeric_atoms","value":8608,"base":2}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1092,"base":2},"right_expr":{"type":"numeric_atoms","value":2588,"base":2}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":8179,"base":2}}}}},"used_operators":["KYD54nUTWz","DhbWaqg5eL","NTOWxs364D","3ViojmjbAp","f6k1SAg4EE","yyfyN0ffXY","BjRHVeLaeN","fu6greOZ01","QMFrweE19q","ruOEQAzv1W"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8415","layer":4},{"info":"number node, value=5941","layer":4},{"info":"compute binary expreesion, left_input=8415, right_input=5941, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5944","layer":3},{"info":"number node, value=5585","layer":4},{"info":"number node, value=7112","layer":4},{"info":"compute binary expreesion, left_input=5585, right_input=7112, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-12697","layer":3},{"info":"compute binary expreesion, left_input=-5944, right_input=-12697, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=18520","layer":2},{"info":"compute unary expreesion, input=18520, 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=5170","layer":4},{"info":"number node, value=8608","layer":4},{"info":"compute binary expreesion, left_input=5170, right_input=8608, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":2},{"info":"number node, value=1092","layer":4},{"info":"number node, value=2588","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=2588, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=8179","layer":4},{"info":"compute unary expreesion, input=8179, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-7906","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7906, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(+⊝⨔(≮⫘↔10000011011111⨓≮⫘↔1011100110101⩚⊴⇥(≮⫘↔1010111010001⪒≮⫘↔1101111001000)))⫥∨⫟(((≮⫘↔1010000110010⨐⩸⫘≮⫘↔10000110100000)⫩⊇)↙(≮⫘↔10001000100⫥∨⫟≮⫘↔101000011100⫡⨏(↔≮⫘↔1111111110011)))=NaN","reverse_text":"NaN=(+⊝⨔(≮⫘↔10000011011111⨓≮⫘↔1011100110101⩚⊴⇥(≮⫘↔1010111010001⪒≮⫘↔1101111001000)))⫥∨⫟(((≮⫘↔1010000110010⨐⩸⫘≮⫘↔10000110100000)⫩⊇)↙(≮⫘↔10001000100⫥∨⫟≮⫘↔101000011100⫡⨏(↔≮⫘↔1111111110011)))","cot":[{"info":"≮⫘↔10000011011111⨓≮⫘↔1011100110101=≮⫘↔-1011100111000","layer":3},{"info":"≮⫘↔1010111010001⪒≮⫘↔1101111001000=≮⫘↔-11000110011001","layer":3},{"info":"≮⫘↔-1011100111000⩚⊴⇥≮⫘↔-11000110011001=≮⫘↔100100001011000","layer":2},{"info":"+⊝⨔≮⫘↔100100001011000=≮⫘↔10111110010","layer":1},{"info":"≮⫘↔1010000110010⨐⩸⫘≮⫘↔10000110100000=NaN","layer":3},{"info":"NaN⫩⊇=NaN","layer":2},{"info":"≮⫘↔10001000100⫥∨⫟≮⫘↔101000011100=NaN","layer":3},{"info":"↔≮⫘↔1111111110011=≮⫘↔-1111011100010","layer":3},{"info":"NaN⫡⨏≮⫘↔-1111011100010=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"≮⫘↔10111110010⫥∨⫟NaN=NaN","layer":0}]}
{"id":644,"expression_no_base_symbol":"(($1013$↬$1057$≭($1084$⋥≓≎$5286$))∧)⋥≓≎($1640$+$2782$⋷(⊙↵-$4980$))⪛((⪲⇎$3971$)⋝⋈⪟(∂$1404$))","expression":"((≮⫘↔1111110101↬≮⫘↔10000100001≭(≮⫘↔10000111100⋥≓≎≮⫘↔1010010100110))∧)⋥≓≎(≮⫘↔11001101000+≮⫘↔101011011110⋷(⊙↵-≮⫘↔1001101110100))⪛((⪲⇎≮⫘↔111110000011)⋝⋈⪟(∂≮⫘↔10101111100))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5056,"operation_count":12,"complexity_ratio":421.3333333333333,"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":1013,"base":2},"right_expr":{"type":"numeric_atoms","value":1057,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1084,"base":2},"right_expr":{"type":"numeric_atoms","value":5286,"base":2}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1640,"base":2},"right_expr":{"type":"numeric_atoms","value":2782,"base":2}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4980,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3971,"base":2}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1404,"base":2}}}}},"used_operators":["Qy55tPpLXF","z63VuFQld9","rxpJgHHUmx","B5M0gjZbta","uFcxV4UQCh","23Mk6UjR3U","W4YGzv6Whe","oWn0xqSxBt","2DDjHMKMc0","XPYlsWDdGa","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1013","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=1057, 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=1084","layer":4},{"info":"number node, value=5286","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=5286, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9521","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9521, 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 = 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=1640","layer":4},{"info":"number node, value=2782","layer":4},{"info":"compute binary expreesion, left_input=1640, right_input=2782, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4422","layer":3},{"info":"number node, value=4980","layer":4},{"info":"compute unary expreesion, input=4980, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=4422, right_input=-1, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4424","layer":2},{"info":"number node, value=3971","layer":4},{"info":"compute unary expreesion, input=3971, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7942","layer":3},{"info":"number node, value=1404","layer":4},{"info":"compute unary expreesion, input=1404, 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=7942, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4424, 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=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1111110101↬≮⫘↔10000100001≭(≮⫘↔10000111100⋥≓≎≮⫘↔1010010100110))∧)⋥≓≎(≮⫘↔11001101000+≮⫘↔101011011110⋷(⊙↵-≮⫘↔1001101110100))⪛((⪲⇎≮⫘↔111110000011)⋝⋈⪟(∂≮⫘↔10101111100))=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=((≮⫘↔1111110101↬≮⫘↔10000100001≭(≮⫘↔10000111100⋥≓≎≮⫘↔1010010100110))∧)⋥≓≎(≮⫘↔11001101000+≮⫘↔101011011110⋷(⊙↵-≮⫘↔1001101110100))⪛((⪲⇎≮⫘↔111110000011)⋝⋈⪟(∂≮⫘↔10101111100))","cot":[{"info":"≮⫘↔1111110101↬≮⫘↔10000100001=NaN","layer":3},{"info":"≮⫘↔10000111100⋥≓≎≮⫘↔1010010100110=≮⫘↔10010100110001","layer":3},{"info":"NaN≭≮⫘↔10010100110001=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"≮⫘↔11001101000+≮⫘↔101011011110=≮⫘↔1000101000110","layer":3},{"info":"⊙↵-≮⫘↔1001101110100=≮⫘↔-1","layer":3},{"info":"≮⫘↔1000101000110⋷≮⫘↔-1=≮⫘↔-1000101001000","layer":2},{"info":"⪲⇎≮⫘↔111110000011=≮⫘↔1111100000110","layer":3},{"info":"∂≮⫘↔10101111100=NaN","layer":3},{"info":"≮⫘↔1111100000110⋝⋈⪟NaN=NaN","layer":2},{"info":"≮⫘↔-1000101001000⪛NaN=NaN","layer":1},{"info":"NaN⋥≓≎NaN=≮⫘↔1000011","layer":0}]}
{"id":645,"expression_no_base_symbol":"≤/(≉($5804$⇼⇔∾$5627$)⪛($5406$⨳⩥⨓$7349$))","expression":"≤/(≉(≮⫘↔1011010101100⇼⇔∾≮⫘↔1010111111011)⪛(≮⫘↔1010100011110⨳⩥⨓≮⫘↔1110010110101))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":12,"operation_count":5,"complexity_ratio":2.4,"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":5804,"base":2},"right_expr":{"type":"numeric_atoms","value":5627,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5406,"base":2},"right_expr":{"type":"numeric_atoms","value":7349,"base":2}}}}},"used_operators":["eLAdDNolq6","e1ybzncUwg","uFcxV4UQCh","tifHPKVTfV","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"≮⫘↔-11100010101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5804","layer":4},{"info":"number node, value=5627","layer":4},{"info":"compute binary expreesion, left_input=5804, right_input=5627, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-177","layer":3},{"info":"number node, value=5406","layer":4},{"info":"number node, value=7349","layer":4},{"info":"compute binary expreesion, left_input=5406, right_input=7349, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1943","layer":3},{"info":"compute binary expreesion, left_input=-177, right_input=1943, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1766","layer":2},{"info":"compute unary expreesion, input=1766, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2297","layer":1},{"info":"compute unary expreesion, input=2297, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1813","layer":0}],"base":2,"result_base":2,"text":"≤/(≉(≮⫘↔1011010101100⇼⇔∾≮⫘↔1010111111011)⪛(≮⫘↔1010100011110⨳⩥⨓≮⫘↔1110010110101))=≮⫘↔-11100010101","reverse_text":"≮⫘↔-11100010101=≤/(≉(≮⫘↔1011010101100⇼⇔∾≮⫘↔1010111111011)⪛(≮⫘↔1010100011110⨳⩥⨓≮⫘↔1110010110101))","cot":[{"info":"≮⫘↔1011010101100⇼⇔∾≮⫘↔1010111111011=≮⫘↔-10110001","layer":3},{"info":"≮⫘↔1010100011110⨳⩥⨓≮⫘↔1110010110101=≮⫘↔11110010111","layer":3},{"info":"≮⫘↔-10110001⪛≮⫘↔11110010111=≮⫘↔11011100110","layer":2},{"info":"≉≮⫘↔11011100110=≮⫘↔100011111001","layer":1},{"info":"≤/≮⫘↔100011111001=≮⫘↔-11100010101","layer":0}]}
{"id":646,"expression_no_base_symbol":"(≉($4193$⇷$1345$/($5337$↛⩡⫤)))⨰(($4373$≋⫹)⫥∨⫟$1643$⋓$4042$⨽(≦∁$4730$*$1919$))","expression":"(≉(≮⫘↔1000001100001⇷≮⫘↔10101000001/(≮⫘↔1010011011001↛⩡⫤)))⨰((≮⫘↔1000100010101≋⫹)⫥∨⫟≮⫘↔11001101011⋓≮⫘↔111111001010⨽(≦∁≮⫘↔1001001111010*≮⫘↔11101111111))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":76962,"operation_count":11,"complexity_ratio":6996.545454545455,"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":4193,"base":2},"right_expr":{"type":"numeric_atoms","value":1345,"base":2}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":5337,"base":2}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":4373,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1643,"base":2},"right_expr":{"type":"numeric_atoms","value":4042,"base":2}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4730,"base":2},"right_expr":{"type":"numeric_atoms","value":1919,"base":2}}}}},"used_operators":["eewbuw0ToL","e1ybzncUwg","XhwjNDsVaA","mp7IySMOzn","FU0Cs4j7VP","8HhzD0ZcuI","KYD54nUTWz","N41Kp7NANJ","T2fj7uvVaJ","9ICcGScMcE","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4193","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=4193, right_input=1345, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2690","layer":3},{"info":"number node, value=5337","layer":4},{"info":"compute unary expreesion, input=5337, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-801976","layer":3},{"info":"compute binary expreesion, left_input=2690, right_input=-801976, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=530","layer":1},{"info":"number node, value=4373","layer":4},{"info":"compute unary expreesion, input=4373, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-8746","layer":3},{"info":"number node, value=1643","layer":4},{"info":"number node, value=4042","layer":4},{"info":"compute binary expreesion, left_input=1643, right_input=4042, 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=-8746, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=4730","layer":4},{"info":"number node, value=1919","layer":4},{"info":"compute binary expreesion, left_input=4730, right_input=1919, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9076870","layer":3},{"info":"compute unary expreesion, input=9076870, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=9076870","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9076870, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=530, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≉(≮⫘↔1000001100001⇷≮⫘↔10101000001/(≮⫘↔1010011011001↛⩡⫤)))⨰((≮⫘↔1000100010101≋⫹)⫥∨⫟≮⫘↔11001101011⋓≮⫘↔111111001010⨽(≦∁≮⫘↔1001001111010*≮⫘↔11101111111))=NaN","reverse_text":"NaN=(≉(≮⫘↔1000001100001⇷≮⫘↔10101000001/(≮⫘↔1010011011001↛⩡⫤)))⨰((≮⫘↔1000100010101≋⫹)⫥∨⫟≮⫘↔11001101011⋓≮⫘↔111111001010⨽(≦∁≮⫘↔1001001111010*≮⫘↔11101111111))","cot":[{"info":"≮⫘↔1000001100001⇷≮⫘↔10101000001=≮⫘↔101010000010","layer":3},{"info":"≮⫘↔1010011011001↛⩡⫤=≮⫘↔-11000011110010111000","layer":3},{"info":"≮⫘↔101010000010/≮⫘↔-11000011110010111000=≮⫘↔-1","layer":2},{"info":"≉≮⫘↔-1=≮⫘↔1000010010","layer":1},{"info":"≮⫘↔1000100010101≋⫹=≮⫘↔-10001000101010","layer":3},{"info":"≮⫘↔11001101011⋓≮⫘↔111111001010=≮⫘↔0","layer":3},{"info":"≮⫘↔-10001000101010⫥∨⫟≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔1001001111010*≮⫘↔11101111111=≮⫘↔100010101000000010000110","layer":3},{"info":"≦∁≮⫘↔100010101000000010000110=≮⫘↔100010101000000010000110","layer":2},{"info":"NaN⨽≮⫘↔100010101000000010000110=NaN","layer":1},{"info":"≮⫘↔1000010010⨰NaN=NaN","layer":0}]}
{"id":647,"expression_no_base_symbol":"(⨵≀≌($5387$⨰$8731$)∀⇚≩(↯⪼$5120$))⨪↰⇹($9548$⪢$1921$∼($1794$⋥≓≎$4280$)⊠≄⫣)","expression":"(⨵≀≌(≮⫘↔1010100001011⨰≮⫘↔10001000011011)∀⇚≩(↯⪼≮⫘↔1010000000000))⨪↰⇹(≮⫘↔10010101001100⪢≮⫘↔11110000001∼(≮⫘↔11100000010⋥≓≎≮⫘↔1000010111000)⊠≄⫣)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26003,"operation_count":9,"complexity_ratio":2889.222222222222,"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":5387,"base":2},"right_expr":{"type":"numeric_atoms","value":8731,"base":2}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5120,"base":2}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":9548,"base":2},"right_expr":{"type":"numeric_atoms","value":1921,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1794,"base":2},"right_expr":{"type":"numeric_atoms","value":4280,"base":2}}}}},"used_operators":["tmPS8pqC7x","srAu1WTS94","LRNGc0VcxI","eewbuw0ToL","8jW3W4yZS5","DIvbN7qnHd","DyGG3AbaNP","dWAJyo7jo9","Qy55tPpLXF"],"dependent_operators":["rJVOvQCfKK","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=5387","layer":4},{"info":"number node, value=8731","layer":4},{"info":"compute binary expreesion, left_input=5387, right_input=8731, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3334","layer":3},{"info":"number node, value=5120","layer":4},{"info":"compute unary expreesion, input=5120, 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=-3334, right_input=-21, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":1},{"info":"number node, value=9548","layer":4},{"info":"number node, value=1921","layer":4},{"info":"compute binary expreesion, left_input=9548, right_input=1921, 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=1794","layer":4},{"info":"number node, value=4280","layer":4},{"info":"compute binary expreesion, left_input=1794, right_input=4280, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6799","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6799, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨵≀≌(≮⫘↔1010100001011⨰≮⫘↔10001000011011)∀⇚≩(↯⪼≮⫘↔1010000000000))⨪↰⇹(≮⫘↔10010101001100⪢≮⫘↔11110000001∼(≮⫘↔11100000010⋥≓≎≮⫘↔1000010111000)⊠≄⫣)=NaN","reverse_text":"NaN=(⨵≀≌(≮⫘↔1010100001011⨰≮⫘↔10001000011011)∀⇚≩(↯⪼≮⫘↔1010000000000))⨪↰⇹(≮⫘↔10010101001100⪢≮⫘↔11110000001∼(≮⫘↔11100000010⋥≓≎≮⫘↔1000010111000)⊠≄⫣)","cot":[{"info":"≮⫘↔1010100001011⨰≮⫘↔10001000011011=≮⫘↔-110100000110","layer":3},{"info":"↯⪼≮⫘↔1010000000000=≮⫘↔-10101","layer":3},{"info":"≮⫘↔-110100000110∀⇚≩≮⫘↔-10101=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"≮⫘↔10010101001100⪢≮⫘↔11110000001=NaN","layer":3},{"info":"≮⫘↔11100000010⋥≓≎≮⫘↔1000010111000=≮⫘↔1101010001111","layer":3},{"info":"NaN∼≮⫘↔1101010001111=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":648,"expression_no_base_symbol":"(≤/$2002$↺$5809$)≭($1924$⪘⫢$2274$⪒$3601$⩨$5687$)↙($3802$≹⇙⪍$1366$⨳⩥⨓$1119$∼$4801$)↬($5021$-$4507$⪨≂(≦∁$1168$))","expression":"(≤/≮⫘↔11111010010↺≮⫘↔1011010110001)≭(≮⫘↔11110000100⪘⫢≮⫘↔100011100010⪒≮⫘↔111000010001⩨≮⫘↔1011000110111)↙(≮⫘↔111011011010≹⇙⪍≮⫘↔10101010110⨳⩥⨓≮⫘↔10001011111∼≮⫘↔1001011000001)↬(≮⫘↔1001110011101-≮⫘↔1000110011011⪨≂(≦∁≮⫘↔10010010000))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":62,"operation_count":14,"complexity_ratio":4.428571428571429,"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":2002,"base":2},"right_expr":{"type":"numeric_atoms","value":5809,"base":2}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1924,"base":2},"right_expr":{"type":"numeric_atoms","value":2274,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3601,"base":2},"right_expr":{"type":"numeric_atoms","value":5687,"base":2}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3802,"base":2},"right_expr":{"type":"numeric_atoms","value":1366,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1119,"base":2},"right_expr":{"type":"numeric_atoms","value":4801,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5021,"base":2},"right_expr":{"type":"numeric_atoms","value":4507,"base":2}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1168,"base":2}}}}},"used_operators":["yyfyN0ffXY","rxpJgHHUmx","eLAdDNolq6","7j4O788W3g","f6k1SAg4EE","oacrs7FA3X","2DlMacCsIx","B5M0gjZbta","nCS4ZIUYfx","AHs5Up7iyr","DyGG3AbaNP","sdazOOVcIp","rysDP5nf3Z","9ICcGScMcE"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2002","layer":4},{"info":"number node, value=5809","layer":4},{"info":"compute binary expreesion, left_input=2002, right_input=5809, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5809","layer":3},{"info":"compute unary expreesion, input=5809, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5325","layer":2},{"info":"number node, value=1924","layer":4},{"info":"number node, value=2274","layer":4},{"info":"compute binary expreesion, left_input=1924, right_input=2274, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3724","layer":3},{"info":"number node, value=3601","layer":4},{"info":"number node, value=5687","layer":4},{"info":"compute binary expreesion, left_input=3601, right_input=5687, 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=3724, right_input=-3, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3721","layer":2},{"info":"compute binary expreesion, left_input=-5325, right_input=-3721, 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=3802","layer":4},{"info":"number node, value=1366","layer":4},{"info":"compute binary expreesion, left_input=3802, right_input=1366, 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=1119","layer":4},{"info":"number node, value=4801","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=4801, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=5021","layer":4},{"info":"number node, value=4507","layer":4},{"info":"compute binary expreesion, left_input=5021, right_input=4507, op_id = rysDP5nf3Z binary_op_definition= 'None', output=514","layer":3},{"info":"number node, value=1168","layer":4},{"info":"compute unary expreesion, input=1168, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1168","layer":3},{"info":"compute binary expreesion, left_input=514, right_input=1168, 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=-1206","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1206, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≤/≮⫘↔11111010010↺≮⫘↔1011010110001)≭(≮⫘↔11110000100⪘⫢≮⫘↔100011100010⪒≮⫘↔111000010001⩨≮⫘↔1011000110111)↙(≮⫘↔111011011010≹⇙⪍≮⫘↔10101010110⨳⩥⨓≮⫘↔10001011111∼≮⫘↔1001011000001)↬(≮⫘↔1001110011101-≮⫘↔1000110011011⪨≂(≦∁≮⫘↔10010010000))=NaN","reverse_text":"NaN=(≤/≮⫘↔11111010010↺≮⫘↔1011010110001)≭(≮⫘↔11110000100⪘⫢≮⫘↔100011100010⪒≮⫘↔111000010001⩨≮⫘↔1011000110111)↙(≮⫘↔111011011010≹⇙⪍≮⫘↔10101010110⨳⩥⨓≮⫘↔10001011111∼≮⫘↔1001011000001)↬(≮⫘↔1001110011101-≮⫘↔1000110011011⪨≂(≦∁≮⫘↔10010010000))","cot":[{"info":"≮⫘↔11111010010↺≮⫘↔1011010110001=≮⫘↔1011010110001","layer":3},{"info":"≤/≮⫘↔1011010110001=≮⫘↔-1010011001101","layer":2},{"info":"≮⫘↔11110000100⪘⫢≮⫘↔100011100010=≮⫘↔111010001100","layer":3},{"info":"≮⫘↔111000010001⩨≮⫘↔1011000110111=≮⫘↔-11","layer":3},{"info":"≮⫘↔111010001100⪒≮⫘↔-11=≮⫘↔-111010001001","layer":2},{"info":"≮⫘↔-1010011001101≭≮⫘↔-111010001001=NaN","layer":1},{"info":"≮⫘↔111011011010≹⇙⪍≮⫘↔10101010110=NaN","layer":3},{"info":"≮⫘↔10001011111∼≮⫘↔1001011000001=NaN","layer":3},{"info":"NaN⨳⩥⨓NaN=NaN","layer":2},{"info":"≮⫘↔1001110011101-≮⫘↔1000110011011=≮⫘↔1000000010","layer":3},{"info":"≦∁≮⫘↔10010010000=≮⫘↔10010010000","layer":3},{"info":"≮⫘↔1000000010⪨≂≮⫘↔10010010000=≮⫘↔-10010110110","layer":2},{"info":"NaN↬≮⫘↔-10010110110=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":649,"expression_no_base_symbol":"(+⊝⨔($1006$⨽$5904$))⨎($1854$⨸⪁$8119$)∼(↥$5824$)↺(($1680$⊭↱$6241$)+⇶⊼(⩦⩻⨪$1829$))⇷($1746$⪘⫢$4817$)↬(↥$3026$)","expression":"(+⊝⨔(≮⫘↔1111101110⨽≮⫘↔1011100010000))⨎(≮⫘↔11100111110⨸⪁≮⫘↔1111110110111)∼(↥≮⫘↔1011011000000)↺((≮⫘↔11010010000⊭↱≮⫘↔1100001100001)+⇶⊼(⩦⩻⨪≮⫘↔11100100101))⇷(≮⫘↔11011010010⪘⫢≮⫘↔1001011010001)↬(↥≮⫘↔101111010010)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1698,"operation_count":14,"complexity_ratio":121.28571428571429,"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":1006,"base":2},"right_expr":{"type":"numeric_atoms","value":5904,"base":2}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1854,"base":2},"right_expr":{"type":"numeric_atoms","value":8119,"base":2}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5824,"base":2}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1680,"base":2},"right_expr":{"type":"numeric_atoms","value":6241,"base":2}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1829,"base":2}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1746,"base":2},"right_expr":{"type":"numeric_atoms","value":4817,"base":2}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3026,"base":2}}}}},"used_operators":["7j4O788W3g","rJVOvQCfKK","DhbWaqg5eL","8HhzD0ZcuI","DyGG3AbaNP","g55IO6H4Gj","A8NUZmVepG","mp7IySMOzn","TpPTUOHfaN","COABgblf1C","2td37pGCOC","B5M0gjZbta","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1006","layer":4},{"info":"number node, value=5904","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=5904, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3052506","layer":3},{"info":"compute unary expreesion, input=-3052506, 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=1854","layer":4},{"info":"number node, value=8119","layer":4},{"info":"compute binary expreesion, left_input=1854, right_input=8119, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19946","layer":3},{"info":"number node, value=5824","layer":4},{"info":"compute unary expreesion, input=5824, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=10","layer":3},{"info":"compute binary expreesion, left_input=19946, right_input=10, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":1},{"info":"number node, value=1680","layer":4},{"info":"number node, value=6241","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=6241, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=9127","layer":3},{"info":"number node, value=1829","layer":4},{"info":"compute unary expreesion, input=1829, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1829","layer":3},{"info":"compute binary expreesion, left_input=9127, right_input=1829, 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=1746","layer":4},{"info":"number node, value=4817","layer":4},{"info":"compute binary expreesion, left_input=1746, right_input=4817, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3368","layer":3},{"info":"number node, value=3026","layer":4},{"info":"compute unary expreesion, input=3026, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=17","layer":3},{"info":"compute binary expreesion, left_input=3368, right_input=17, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"(+⊝⨔(≮⫘↔1111101110⨽≮⫘↔1011100010000))⨎(≮⫘↔11100111110⨸⪁≮⫘↔1111110110111)∼(↥≮⫘↔1011011000000)↺((≮⫘↔11010010000⊭↱≮⫘↔1100001100001)+⇶⊼(⩦⩻⨪≮⫘↔11100100101))⇷(≮⫘↔11011010010⪘⫢≮⫘↔1001011010001)↬(↥≮⫘↔101111010010)=NaN","reverse_text":"NaN=(+⊝⨔(≮⫘↔1111101110⨽≮⫘↔1011100010000))⨎(≮⫘↔11100111110⨸⪁≮⫘↔1111110110111)∼(↥≮⫘↔1011011000000)↺((≮⫘↔11010010000⊭↱≮⫘↔1100001100001)+⇶⊼(⩦⩻⨪≮⫘↔11100100101))⇷(≮⫘↔11011010010⪘⫢≮⫘↔1001011010001)↬(↥≮⫘↔101111010010)","cot":[{"info":"≮⫘↔1111101110⨽≮⫘↔1011100010000=≮⫘↔-1011101001001111011010","layer":3},{"info":"+⊝⨔≮⫘↔-1011101001001111011010=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔11100111110⨸⪁≮⫘↔1111110110111=≮⫘↔100110111101010","layer":3},{"info":"↥≮⫘↔1011011000000=≮⫘↔1010","layer":3},{"info":"≮⫘↔100110111101010∼≮⫘↔1010=≮⫘↔0","layer":2},{"info":"≮⫘↔10111110010⨎≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔11010010000⊭↱≮⫘↔1100001100001=≮⫘↔10001110100111","layer":3},{"info":"⩦⩻⨪≮⫘↔11100100101=≮⫘↔11100100101","layer":3},{"info":"≮⫘↔10001110100111+⇶⊼≮⫘↔11100100101=NaN","layer":2},{"info":"≮⫘↔11011010010⪘⫢≮⫘↔1001011010001=≮⫘↔110100101000","layer":3},{"info":"↥≮⫘↔101111010010=≮⫘↔10001","layer":3},{"info":"≮⫘↔110100101000↬≮⫘↔10001=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"≮⫘↔0↺NaN=NaN","layer":0}]}
{"id":650,"expression_no_base_symbol":"$5487$⨳⩥⨓$8536$⨸⪁($3096$⊭∹↮)+$1607$⩚⊴⇥$3447$⇼⇔∾$1153$⨓$1471$⫡⨏(∂($5639$≧⫂∧$9512$*$1572$⪛$1171$))","expression":"≮⫘↔1010101101111⨳⩥⨓≮⫘↔10000101011000⨸⪁(≮⫘↔110000011000⊭∹↮)+≮⫘↔11001000111⩚⊴⇥≮⫘↔110101110111⇼⇔∾≮⫘↔10010000001⨓≮⫘↔10110111111⫡⨏(∂(≮⫘↔1011000000111≧⫂∧≮⫘↔10010100101000*≮⫘↔11000100100⪛≮⫘↔10010010011))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1909,"operation_count":12,"complexity_ratio":159.08333333333334,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5487,"base":2},"right_expr":{"type":"numeric_atoms","value":8536,"base":2}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3096,"base":2}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1607,"base":2},"right_expr":{"type":"numeric_atoms","value":3447,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1153,"base":2},"right_expr":{"type":"numeric_atoms","value":1471,"base":2}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5639,"base":2},"right_expr":{"type":"numeric_atoms","value":9512,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1572,"base":2},"right_expr":{"type":"numeric_atoms","value":1171,"base":2}}}}},"used_operators":["QMFrweE19q","W4YGzv6Whe","g55IO6H4Gj","nCS4ZIUYfx","xNBdhnnwKq","tifHPKVTfV","NTOWxs364D","3ViojmjbAp","Uaa54Peajs","9HNa5Wba9A","Ph9nP6C5qx","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5487","layer":4},{"info":"number node, value=8536","layer":4},{"info":"compute binary expreesion, left_input=5487, right_input=8536, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3049","layer":3},{"info":"number node, value=3096","layer":4},{"info":"compute unary expreesion, input=3096, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6192","layer":3},{"info":"compute binary expreesion, left_input=3049, right_input=6192, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18482","layer":2},{"info":"number node, value=1607","layer":4},{"info":"number node, value=3447","layer":4},{"info":"compute binary expreesion, left_input=1607, right_input=3447, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5175","layer":3},{"info":"number node, value=1153","layer":4},{"info":"number node, value=1471","layer":4},{"info":"compute binary expreesion, left_input=1153, right_input=1471, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1474","layer":3},{"info":"compute binary expreesion, left_input=-5175, right_input=-1474, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3701","layer":2},{"info":"compute binary expreesion, left_input=18482, right_input=3701, op_id = W4YGzv6Whe binary_op_definition= 'None', output=22183","layer":1},{"info":"number node, value=5639","layer":4},{"info":"number node, value=9512","layer":4},{"info":"compute binary expreesion, left_input=5639, right_input=9512, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=9039","layer":3},{"info":"number node, value=1572","layer":4},{"info":"number node, value=1171","layer":4},{"info":"compute binary expreesion, left_input=1572, right_input=1171, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=401","layer":3},{"info":"compute binary expreesion, left_input=9039, right_input=401, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3624639","layer":2},{"info":"compute unary expreesion, input=3624639, 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":"compute binary expreesion, left_input=22183, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔1010101101111⨳⩥⨓≮⫘↔10000101011000⨸⪁(≮⫘↔110000011000⊭∹↮)+≮⫘↔11001000111⩚⊴⇥≮⫘↔110101110111⇼⇔∾≮⫘↔10010000001⨓≮⫘↔10110111111⫡⨏(∂(≮⫘↔1011000000111≧⫂∧≮⫘↔10010100101000*≮⫘↔11000100100⪛≮⫘↔10010010011))=NaN","reverse_text":"NaN=≮⫘↔1010101101111⨳⩥⨓≮⫘↔10000101011000⨸⪁(≮⫘↔110000011000⊭∹↮)+≮⫘↔11001000111⩚⊴⇥≮⫘↔110101110111⇼⇔∾≮⫘↔10010000001⨓≮⫘↔10110111111⫡⨏(∂(≮⫘↔1011000000111≧⫂∧≮⫘↔10010100101000*≮⫘↔11000100100⪛≮⫘↔10010010011))","cot":[{"info":"≮⫘↔1010101101111⨳⩥⨓≮⫘↔10000101011000=≮⫘↔101111101001","layer":3},{"info":"≮⫘↔110000011000⊭∹↮=≮⫘↔1100000110000","layer":3},{"info":"≮⫘↔101111101001⨸⪁≮⫘↔1100000110000=≮⫘↔100100000110010","layer":2},{"info":"≮⫘↔11001000111⩚⊴⇥≮⫘↔110101110111=≮⫘↔-1010000110111","layer":3},{"info":"≮⫘↔10010000001⨓≮⫘↔10110111111=≮⫘↔-10111000010","layer":3},{"info":"≮⫘↔-1010000110111⇼⇔∾≮⫘↔-10111000010=≮⫘↔111001110101","layer":2},{"info":"≮⫘↔100100000110010+≮⫘↔111001110101=≮⫘↔101011010100111","layer":1},{"info":"≮⫘↔1011000000111≧⫂∧≮⫘↔10010100101000=≮⫘↔10001101001111","layer":3},{"info":"≮⫘↔11000100100⪛≮⫘↔10010010011=≮⫘↔110010001","layer":3},{"info":"≮⫘↔10001101001111*≮⫘↔110010001=≮⫘↔1101110100111010111111","layer":2},{"info":"∂≮⫘↔1101110100111010111111=NaN","layer":1},{"info":"≮⫘↔101011010100111⫡⨏NaN=NaN","layer":0}]}
{"id":651,"expression_no_base_symbol":"((($1122$⋫)⪨≂($5033$⋷$1340$))*($1141$⨰$4420$⋷($4388$+$2846$)))⋥≓≎(≤/(⩦⩻⨪$2963$⪢$5231$))","expression":"(((≮⫘↔10001100010⋫)⪨≂(≮⫘↔1001110101001⋷≮⫘↔10100111100))*(≮⫘↔10001110101⨰≮⫘↔1000101000100⋷(≮⫘↔1000100100100+≮⫘↔101100011110)))⋥≓≎(≤/(⩦⩻⨪≮⫘↔101110010011⪢≮⫘↔1010001101111))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12916,"operation_count":11,"complexity_ratio":1174.1818181818182,"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":1122,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5033,"base":2},"right_expr":{"type":"numeric_atoms","value":1340,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1141,"base":2},"right_expr":{"type":"numeric_atoms","value":4420,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4388,"base":2},"right_expr":{"type":"numeric_atoms","value":2846,"base":2}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2963,"base":2},"right_expr":{"type":"numeric_atoms","value":5231,"base":2}}}}},"used_operators":["Qy55tPpLXF","9HNa5Wba9A","sdazOOVcIp","JL8yIekQnl","23Mk6UjR3U","eewbuw0ToL","W4YGzv6Whe","eLAdDNolq6","2td37pGCOC","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1122","layer":4},{"info":"compute unary expreesion, input=1122, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1122","layer":3},{"info":"number node, value=5033","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=5033, right_input=1340, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2353","layer":3},{"info":"compute binary expreesion, left_input=1122, right_input=-2353, 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=7052","layer":2},{"info":"number node, value=1141","layer":4},{"info":"number node, value=4420","layer":4},{"info":"compute binary expreesion, left_input=1141, right_input=4420, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3269","layer":3},{"info":"number node, value=4388","layer":4},{"info":"number node, value=2846","layer":4},{"info":"compute binary expreesion, left_input=4388, right_input=2846, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7234","layer":3},{"info":"compute binary expreesion, left_input=-3269, right_input=7234, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6538","layer":2},{"info":"compute binary expreesion, left_input=7052, right_input=6538, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=46105976","layer":1},{"info":"number node, value=2963","layer":4},{"info":"number node, value=5231","layer":4},{"info":"compute binary expreesion, left_input=2963, right_input=5231, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=46105976, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10001100010⋫)⪨≂(≮⫘↔1001110101001⋷≮⫘↔10100111100))*(≮⫘↔10001110101⨰≮⫘↔1000101000100⋷(≮⫘↔1000100100100+≮⫘↔101100011110)))⋥≓≎(≤/(⩦⩻⨪≮⫘↔101110010011⪢≮⫘↔1010001101111))=NaN","reverse_text":"NaN=(((≮⫘↔10001100010⋫)⪨≂(≮⫘↔1001110101001⋷≮⫘↔10100111100))*(≮⫘↔10001110101⨰≮⫘↔1000101000100⋷(≮⫘↔1000100100100+≮⫘↔101100011110)))⋥≓≎(≤/(⩦⩻⨪≮⫘↔101110010011⪢≮⫘↔1010001101111))","cot":[{"info":"≮⫘↔10001100010⋫=≮⫘↔10001100010","layer":3},{"info":"≮⫘↔1001110101001⋷≮⫘↔10100111100=≮⫘↔-100100110001","layer":3},{"info":"≮⫘↔10001100010⪨≂≮⫘↔-100100110001=≮⫘↔1101110001100","layer":2},{"info":"≮⫘↔10001110101⨰≮⫘↔1000101000100=≮⫘↔-110011000101","layer":3},{"info":"≮⫘↔1000100100100+≮⫘↔101100011110=≮⫘↔1110001000010","layer":3},{"info":"≮⫘↔-110011000101⋷≮⫘↔1110001000010=≮⫘↔1100110001010","layer":2},{"info":"≮⫘↔1101110001100*≮⫘↔1100110001010=≮⫘↔10101111111000010101111000","layer":1},{"info":"≮⫘↔101110010011⪢≮⫘↔1010001101111=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"≮⫘↔10101111111000010101111000⋥≓≎NaN=NaN","layer":0}]}
{"id":652,"expression_no_base_symbol":"((($6001$%$1437$)⫥∨⫟$3656$∀⇚≩$2403$)⩷∴(≉$3392$)⪘⫢($5012$⋝⋈⪟$2159$))≹⇙⪍((↩($1428$*$5472$))≭($2414$⋥≓≎$7294$⊉≛↸($2633$+$2898$)))","expression":"(((≮⫘↔1011101110001%≮⫘↔10110011101)⫥∨⫟≮⫘↔111001001000∀⇚≩≮⫘↔100101100011)⩷∴(≉≮⫘↔110101000000)⪘⫢(≮⫘↔1001110010100⋝⋈⪟≮⫘↔100001101111))≹⇙⪍((↩(≮⫘↔10110010100*≮⫘↔1010101100000))≭(≮⫘↔100101101110⋥≓≎≮⫘↔1110001111110⊉≛↸(≮⫘↔101001001001+≮⫘↔101101010010)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":27229,"operation_count":14,"complexity_ratio":1944.9285714285713,"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":6001,"base":2},"right_expr":{"type":"numeric_atoms","value":1437,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3656,"base":2},"right_expr":{"type":"numeric_atoms","value":2403,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3392,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5012,"base":2},"right_expr":{"type":"numeric_atoms","value":2159,"base":2}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1428,"base":2},"right_expr":{"type":"numeric_atoms","value":5472,"base":2}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2414,"base":2},"right_expr":{"type":"numeric_atoms","value":7294,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2633,"base":2},"right_expr":{"type":"numeric_atoms","value":2898,"base":2}}}}},"used_operators":["AHs5Up7iyr","9FxExcQeMw","KYD54nUTWz","k8jYdgA6NY","LRNGc0VcxI","oacrs7FA3X","e1ybzncUwg","2DDjHMKMc0","rxpJgHHUmx","jLgFTUHLKL","9HNa5Wba9A","DZ8iAZOCBD","Qy55tPpLXF","W4YGzv6Whe"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6001","layer":4},{"info":"number node, value=1437","layer":4},{"info":"compute binary expreesion, left_input=6001, right_input=1437, op_id = k8jYdgA6NY binary_op_definition= 'None', output=253","layer":3},{"info":"number node, value=3656","layer":4},{"info":"number node, value=2403","layer":4},{"info":"compute binary expreesion, left_input=3656, right_input=2403, 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=253, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3392","layer":4},{"info":"compute unary expreesion, input=3392, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3923","layer":3},{"info":"number node, value=5012","layer":4},{"info":"number node, value=2159","layer":4},{"info":"compute binary expreesion, left_input=5012, right_input=2159, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5012","layer":3},{"info":"compute binary expreesion, left_input=3923, right_input=5012, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7722","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7722, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=1428","layer":4},{"info":"number node, value=5472","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=5472, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7814016","layer":3},{"info":"compute unary expreesion, input=7814016, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-62509348","layer":2},{"info":"number node, value=2414","layer":4},{"info":"number node, value=7294","layer":4},{"info":"compute binary expreesion, left_input=2414, right_input=7294, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=12207","layer":3},{"info":"number node, value=2633","layer":4},{"info":"number node, value=2898","layer":4},{"info":"compute binary expreesion, left_input=2633, right_input=2898, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5531","layer":3},{"info":"compute binary expreesion, left_input=12207, right_input=5531, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=24414","layer":2},{"info":"compute binary expreesion, left_input=-62509348, right_input=24414, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1011101110001%≮⫘↔10110011101)⫥∨⫟≮⫘↔111001001000∀⇚≩≮⫘↔100101100011)⩷∴(≉≮⫘↔110101000000)⪘⫢(≮⫘↔1001110010100⋝⋈⪟≮⫘↔100001101111))≹⇙⪍((↩(≮⫘↔10110010100*≮⫘↔1010101100000))≭(≮⫘↔100101101110⋥≓≎≮⫘↔1110001111110⊉≛↸(≮⫘↔101001001001+≮⫘↔101101010010)))=NaN","reverse_text":"NaN=(((≮⫘↔1011101110001%≮⫘↔10110011101)⫥∨⫟≮⫘↔111001001000∀⇚≩≮⫘↔100101100011)⩷∴(≉≮⫘↔110101000000)⪘⫢(≮⫘↔1001110010100⋝⋈⪟≮⫘↔100001101111))≹⇙⪍((↩(≮⫘↔10110010100*≮⫘↔1010101100000))≭(≮⫘↔100101101110⋥≓≎≮⫘↔1110001111110⊉≛↸(≮⫘↔101001001001+≮⫘↔101101010010)))","cot":[{"info":"≮⫘↔1011101110001%≮⫘↔10110011101=≮⫘↔11111101","layer":3},{"info":"≮⫘↔111001001000∀⇚≩≮⫘↔100101100011=NaN","layer":3},{"info":"≮⫘↔11111101⫥∨⫟NaN=NaN","layer":2},{"info":"≉≮⫘↔110101000000=≮⫘↔111101010011","layer":3},{"info":"≮⫘↔1001110010100⋝⋈⪟≮⫘↔100001101111=≮⫘↔1001110010100","layer":3},{"info":"≮⫘↔111101010011⪘⫢≮⫘↔1001110010100=≮⫘↔1111000101010","layer":2},{"info":"NaN⩷∴≮⫘↔1111000101010=NaN","layer":1},{"info":"≮⫘↔10110010100*≮⫘↔1010101100000=≮⫘↔11101110011101110000000","layer":3},{"info":"↩≮⫘↔11101110011101110000000=≮⫘↔-11101110011101000100100100","layer":2},{"info":"≮⫘↔100101101110⋥≓≎≮⫘↔1110001111110=≮⫘↔10111110101111","layer":3},{"info":"≮⫘↔101001001001+≮⫘↔101101010010=≮⫘↔1010110011011","layer":3},{"info":"≮⫘↔10111110101111⊉≛↸≮⫘↔1010110011011=≮⫘↔101111101011110","layer":2},{"info":"≮⫘↔-11101110011101000100100100≭≮⫘↔101111101011110=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":653,"expression_no_base_symbol":"↔((($1198$⊭↱$3554$)⨎(⫓⪴$2844$))⩷∴(↥$1005$⨽$2518$))","expression":"↔(((≮⫘↔10010101110⊭↱≮⫘↔110111100010)⨎(⫓⪴≮⫘↔101100011100))⩷∴(↥≮⫘↔1111101101⨽≮⫘↔100111010110))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":63413,"operation_count":7,"complexity_ratio":9059.0,"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":1198,"base":2},"right_expr":{"type":"numeric_atoms","value":3554,"base":2}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2844,"base":2}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1005,"base":2},"right_expr":{"type":"numeric_atoms","value":2518,"base":2}}}}},"used_operators":["ruOEQAzv1W","9FxExcQeMw","rJVOvQCfKK","COABgblf1C","eLxqMNBOBk","A8NUZmVepG","8HhzD0ZcuI"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"≮⫘↔-111101101101010011000101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1198","layer":4},{"info":"number node, value=3554","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=3554, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4717","layer":3},{"info":"number node, value=2844","layer":4},{"info":"compute unary expreesion, input=2844, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=8088336","layer":3},{"info":"compute binary expreesion, left_input=4717, right_input=8088336, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=8088336","layer":2},{"info":"number node, value=1005","layer":4},{"info":"number node, value=2518","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=2518, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3036315","layer":3},{"info":"compute unary expreesion, input=-3036315, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=21","layer":2},{"info":"compute binary expreesion, left_input=8088336, right_input=21, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=16176598","layer":1},{"info":"compute unary expreesion, input=16176598, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-16176325","layer":0}],"base":2,"result_base":2,"text":"↔(((≮⫘↔10010101110⊭↱≮⫘↔110111100010)⨎(⫓⪴≮⫘↔101100011100))⩷∴(↥≮⫘↔1111101101⨽≮⫘↔100111010110))=≮⫘↔-111101101101010011000101","reverse_text":"≮⫘↔-111101101101010011000101=↔(((≮⫘↔10010101110⊭↱≮⫘↔110111100010)⨎(⫓⪴≮⫘↔101100011100))⩷∴(↥≮⫘↔1111101101⨽≮⫘↔100111010110))","cot":[{"info":"≮⫘↔10010101110⊭↱≮⫘↔110111100010=≮⫘↔1001001101101","layer":3},{"info":"⫓⪴≮⫘↔101100011100=≮⫘↔11110110110101100010000","layer":3},{"info":"≮⫘↔1001001101101⨎≮⫘↔11110110110101100010000=≮⫘↔11110110110101100010000","layer":2},{"info":"≮⫘↔1111101101⨽≮⫘↔100111010110=≮⫘↔-1011100101010010011011","layer":3},{"info":"↥≮⫘↔-1011100101010010011011=≮⫘↔10101","layer":2},{"info":"≮⫘↔11110110110101100010000⩷∴≮⫘↔10101=≮⫘↔111101101101010111010110","layer":1},{"info":"↔≮⫘↔111101101101010111010110=≮⫘↔-111101101101010011000101","layer":0}]}
{"id":654,"expression_no_base_symbol":"⨑⩽⪐((⨈⫕$1030$⩷∴$1000$)⩤)","expression":"⨑⩽⪐((⨈⫕≮⫘↔10000000110⩷∴≮⫘↔1111101000)⩤)","highest_n_order":5,"priority_hierarchical_complexity":4,"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":1030,"base":2},"right_expr":{"type":"numeric_atoms","value":1000,"base":2}}}}},"used_operators":["AF7qkfDlqP","Z2TMIBDE3Q","megm06wKyl","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z"],"result":"≮⫘↔1011101011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1030","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=1000, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=28","layer":3},{"info":"compute unary expreesion, input=28, 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=21","layer":1},{"info":"compute unary expreesion, input=21, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=747","layer":0}],"base":2,"result_base":2,"text":"⨑⩽⪐((⨈⫕≮⫘↔10000000110⩷∴≮⫘↔1111101000)⩤)=≮⫘↔1011101011","reverse_text":"≮⫘↔1011101011=⨑⩽⪐((⨈⫕≮⫘↔10000000110⩷∴≮⫘↔1111101000)⩤)","cot":[{"info":"≮⫘↔10000000110⩷∴≮⫘↔1111101000=≮⫘↔11100","layer":3},{"info":"⨈⫕≮⫘↔11100=≮⫘↔-10101","layer":2},{"info":"≮⫘↔-10101⩤=≮⫘↔10101","layer":1},{"info":"⨑⩽⪐≮⫘↔10101=≮⫘↔1011101011","layer":0}]}
{"id":655,"expression_no_base_symbol":"($5296$⩨$4733$/$6834$⫸⊐$1052$)⋓(⨰⫟⨤($8860$%$1316$))⊉≛↸(($1937$↙$4411$)≧⫂∧($8223$↙$1020$))∑⇟⊟($1095$∑⇟⊟$1169$)∀⇚≩($2214$⪐)","expression":"(≮⫘↔1010010110000⩨≮⫘↔1001001111101/≮⫘↔1101010110010⫸⊐≮⫘↔10000011100)⋓(⨰⫟⨤(≮⫘↔10001010011100%≮⫘↔10100100100))⊉≛↸((≮⫘↔11110010001↙≮⫘↔1000100111011)≧⫂∧(≮⫘↔10000000011111↙≮⫘↔1111111100))∑⇟⊟(≮⫘↔10001000111∑⇟⊟≮⫘↔10010010001)∀⇚≩(≮⫘↔100010100110⪐)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8510,"operation_count":14,"complexity_ratio":607.8571428571429,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5296,"base":2},"right_expr":{"type":"numeric_atoms","value":4733,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6834,"base":2},"right_expr":{"type":"numeric_atoms","value":1052,"base":2}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":8860,"base":2},"right_expr":{"type":"numeric_atoms","value":1316,"base":2}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1937,"base":2},"right_expr":{"type":"numeric_atoms","value":4411,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":8223,"base":2},"right_expr":{"type":"numeric_atoms","value":1020,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1095,"base":2},"right_expr":{"type":"numeric_atoms","value":1169,"base":2}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2214,"base":2}}}}},"used_operators":["DZ8iAZOCBD","T2fj7uvVaJ","XhwjNDsVaA","2DlMacCsIx","mqXw5SEYmG","Tw270M8GLb","k8jYdgA6NY","U7g4x0WXJJ","Ph9nP6C5qx","yyfyN0ffXY","LRNGc0VcxI","eH2TOUuTDT"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5296","layer":4},{"info":"number node, value=4733","layer":4},{"info":"compute binary expreesion, left_input=5296, right_input=4733, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=6834","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=6834, right_input=1052, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4083","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4083, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=8860","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=8860, right_input=1316, op_id = k8jYdgA6NY binary_op_definition= 'None', output=964","layer":3},{"info":"compute unary expreesion, input=964, 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=0, 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":1},{"info":"number node, value=1937","layer":4},{"info":"number node, value=4411","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=4411, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13233","layer":3},{"info":"number node, value=8223","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=8223, right_input=1020, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3060","layer":3},{"info":"compute binary expreesion, left_input=-13233, right_input=-3060, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-10173","layer":2},{"info":"number node, value=1095","layer":4},{"info":"number node, value=1169","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=1169, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2214","layer":4},{"info":"compute unary expreesion, input=2214, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4428","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4428, 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=-10173, 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=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":2,"result_base":2,"text":"(≮⫘↔1010010110000⩨≮⫘↔1001001111101/≮⫘↔1101010110010⫸⊐≮⫘↔10000011100)⋓(⨰⫟⨤(≮⫘↔10001010011100%≮⫘↔10100100100))⊉≛↸((≮⫘↔11110010001↙≮⫘↔1000100111011)≧⫂∧(≮⫘↔10000000011111↙≮⫘↔1111111100))∑⇟⊟(≮⫘↔10001000111∑⇟⊟≮⫘↔10010010001)∀⇚≩(≮⫘↔100010100110⪐)=NaN","reverse_text":"NaN=(≮⫘↔1010010110000⩨≮⫘↔1001001111101/≮⫘↔1101010110010⫸⊐≮⫘↔10000011100)⋓(⨰⫟⨤(≮⫘↔10001010011100%≮⫘↔10100100100))⊉≛↸((≮⫘↔11110010001↙≮⫘↔1000100111011)≧⫂∧(≮⫘↔10000000011111↙≮⫘↔1111111100))∑⇟⊟(≮⫘↔10001000111∑⇟⊟≮⫘↔10010010001)∀⇚≩(≮⫘↔100010100110⪐)","cot":[{"info":"≮⫘↔1010010110000⩨≮⫘↔1001001111101=≮⫘↔0","layer":3},{"info":"≮⫘↔1101010110010⫸⊐≮⫘↔10000011100=≮⫘↔111111110011","layer":3},{"info":"≮⫘↔0/≮⫘↔111111110011=≮⫘↔0","layer":2},{"info":"≮⫘↔10001010011100%≮⫘↔10100100100=≮⫘↔1111000100","layer":3},{"info":"⨰⫟⨤≮⫘↔1111000100=NaN","layer":2},{"info":"≮⫘↔0⋓NaN=NaN","layer":1},{"info":"≮⫘↔11110010001↙≮⫘↔1000100111011=≮⫘↔-11001110110001","layer":3},{"info":"≮⫘↔10000000011111↙≮⫘↔1111111100=≮⫘↔-101111110100","layer":3},{"info":"≮⫘↔-11001110110001≧⫂∧≮⫘↔-101111110100=≮⫘↔-10011110111101","layer":2},{"info":"≮⫘↔10001000111∑⇟⊟≮⫘↔10010010001=NaN","layer":3},{"info":"≮⫘↔100010100110⪐=≮⫘↔1000101001100","layer":3},{"info":"NaN∀⇚≩≮⫘↔1000101001100=NaN","layer":2},{"info":"≮⫘↔-10011110111101∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":656,"expression_no_base_symbol":"((⋗⩬⋾$6487$)⨟⋌⩍($1857$⨵⪆$1642$)⪨≂(≉$1029$⩷∴$7647$))≭((↥$5590$⨓$2699$)-($4183$⊭↱$1006$)⨪↰⇹($6666$%$1563$))","expression":"((⋗⩬⋾≮⫘↔1100101010111)⨟⋌⩍(≮⫘↔11101000001⨵⪆≮⫘↔11001101010)⪨≂(≉≮⫘↔10000000101⩷∴≮⫘↔1110111011111))≭((↥≮⫘↔1010111010110⨓≮⫘↔101010001011)-(≮⫘↔1000001010111⊭↱≮⫘↔1111101110)⨪↰⇹(≮⫘↔1101000001010%≮⫘↔11000011011))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10284,"operation_count":13,"complexity_ratio":791.0769230769231,"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":6487,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1857,"base":2},"right_expr":{"type":"numeric_atoms","value":1642,"base":2}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1029,"base":2},"right_expr":{"type":"numeric_atoms","value":7647,"base":2}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5590,"base":2},"right_expr":{"type":"numeric_atoms","value":2699,"base":2}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4183,"base":2},"right_expr":{"type":"numeric_atoms","value":1006,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6666,"base":2},"right_expr":{"type":"numeric_atoms","value":1563,"base":2}}}}},"used_operators":["rxpJgHHUmx","sdazOOVcIp","rGHVDoGpnC","DpFCA1CohY","2DQ55sFlQl","e1ybzncUwg","9FxExcQeMw","rysDP5nf3Z","A8NUZmVepG","3ViojmjbAp","tmPS8pqC7x","COABgblf1C","k8jYdgA6NY"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6487","layer":4},{"info":"compute unary expreesion, input=6487, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-19461","layer":3},{"info":"number node, value=1857","layer":4},{"info":"number node, value=1642","layer":4},{"info":"compute binary expreesion, left_input=1857, right_input=1642, 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=-19461, 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=1029","layer":4},{"info":"number node, value=7647","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=7647, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-13268","layer":3},{"info":"compute unary expreesion, input=-13268, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-13268","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-13268, 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=26638","layer":1},{"info":"number node, value=5590","layer":4},{"info":"number node, value=2699","layer":4},{"info":"compute binary expreesion, left_input=5590, right_input=2699, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2702","layer":3},{"info":"compute unary expreesion, input=-2702, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=1","layer":2},{"info":"number node, value=4183","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=4183, right_input=1006, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6349","layer":3},{"info":"number node, value=6666","layer":4},{"info":"number node, value=1563","layer":4},{"info":"compute binary expreesion, left_input=6666, right_input=1563, op_id = k8jYdgA6NY binary_op_definition= 'None', output=414","layer":3},{"info":"compute binary expreesion, left_input=-6349, right_input=414, 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=6349","layer":2},{"info":"compute binary expreesion, left_input=1, right_input=6349, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-6348","layer":1},{"info":"compute binary expreesion, left_input=26638, right_input=-6348, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⋗⩬⋾≮⫘↔1100101010111)⨟⋌⩍(≮⫘↔11101000001⨵⪆≮⫘↔11001101010)⪨≂(≉≮⫘↔10000000101⩷∴≮⫘↔1110111011111))≭((↥≮⫘↔1010111010110⨓≮⫘↔101010001011)-(≮⫘↔1000001010111⊭↱≮⫘↔1111101110)⨪↰⇹(≮⫘↔1101000001010%≮⫘↔11000011011))=NaN","reverse_text":"NaN=((⋗⩬⋾≮⫘↔1100101010111)⨟⋌⩍(≮⫘↔11101000001⨵⪆≮⫘↔11001101010)⪨≂(≉≮⫘↔10000000101⩷∴≮⫘↔1110111011111))≭((↥≮⫘↔1010111010110⨓≮⫘↔101010001011)-(≮⫘↔1000001010111⊭↱≮⫘↔1111101110)⨪↰⇹(≮⫘↔1101000001010%≮⫘↔11000011011))","cot":[{"info":"⋗⩬⋾≮⫘↔1100101010111=≮⫘↔-100110000000101","layer":3},{"info":"≮⫘↔11101000001⨵⪆≮⫘↔11001101010=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-100110000000101⨟⋌⩍≮⫘↔10100000=≮⫘↔0","layer":2},{"info":"≮⫘↔10000000101⩷∴≮⫘↔1110111011111=≮⫘↔-11001111010100","layer":3},{"info":"≉≮⫘↔-11001111010100=≮⫘↔-11001111010100","layer":2},{"info":"≮⫘↔0⪨≂≮⫘↔-11001111010100=≮⫘↔110100000001110","layer":1},{"info":"≮⫘↔1010111010110⨓≮⫘↔101010001011=≮⫘↔-101010001110","layer":3},{"info":"↥≮⫘↔-101010001110=≮⫘↔1","layer":2},{"info":"≮⫘↔1000001010111⊭↱≮⫘↔1111101110=≮⫘↔-1100011001101","layer":3},{"info":"≮⫘↔1101000001010%≮⫘↔11000011011=≮⫘↔110011110","layer":3},{"info":"≮⫘↔-1100011001101⨪↰⇹≮⫘↔110011110=≮⫘↔1100011001101","layer":2},{"info":"≮⫘↔1-≮⫘↔1100011001101=≮⫘↔-1100011001100","layer":1},{"info":"≮⫘↔110100000001110≭≮⫘↔-1100011001100=NaN","layer":0}]}
{"id":657,"expression_no_base_symbol":"(($1527$⨸⪁$2829$)⨎($4563$⫸⊐$1458$))∀⇚≩($3366$⩨$1263$*(⪲⇎$1237$))⨸⪁(($6349$⪄$5921$)⫥∨⫟$1389$≹⇙⪍$2304$)⋓$5091$⊴$3655$⨪↰⇹($1534$⋝⋈⪟$1266$)","expression":"((≮⫘↔10111110111⨸⪁≮⫘↔101100001101)⨎(≮⫘↔1000111010011⫸⊐≮⫘↔10110110010))∀⇚≩(≮⫘↔110100100110⩨≮⫘↔10011101111*(⪲⇎≮⫘↔10011010101))⨸⪁((≮⫘↔1100011001101⪄≮⫘↔1011100100001)⫥∨⫟≮⫘↔10101101101≹⇙⪍≮⫘↔100100000000)⋓≮⫘↔1001111100011⊴≮⫘↔111001000111⨪↰⇹(≮⫘↔10111111110⋝⋈⪟≮⫘↔10011110010)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":45808,"operation_count":15,"complexity_ratio":3053.866666666667,"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":1527,"base":2},"right_expr":{"type":"numeric_atoms","value":2829,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4563,"base":2},"right_expr":{"type":"numeric_atoms","value":1458,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3366,"base":2},"right_expr":{"type":"numeric_atoms","value":1263,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1237,"base":2}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6349,"base":2},"right_expr":{"type":"numeric_atoms","value":5921,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1389,"base":2},"right_expr":{"type":"numeric_atoms","value":2304,"base":2}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5091,"base":2},"right_expr":{"type":"numeric_atoms","value":3655,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1534,"base":2},"right_expr":{"type":"numeric_atoms","value":1266,"base":2}}}}},"used_operators":["g55IO6H4Gj","LRNGc0VcxI","rJVOvQCfKK","mqXw5SEYmG","9HNa5Wba9A","2DlMacCsIx","XPYlsWDdGa","T2fj7uvVaJ","KYD54nUTWz","SUmda5xLS4","AHs5Up7iyr","tmPS8pqC7x","Nsiff2A1zJ","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","X99M06cbEe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","rJVOvQCfKK","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1527","layer":4},{"info":"number node, value=2829","layer":4},{"info":"compute binary expreesion, left_input=1527, right_input=2829, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8712","layer":3},{"info":"number node, value=4563","layer":4},{"info":"number node, value=1458","layer":4},{"info":"compute binary expreesion, left_input=4563, right_input=1458, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5707","layer":3},{"info":"compute binary expreesion, left_input=8712, right_input=5707, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5707","layer":2},{"info":"number node, value=3366","layer":4},{"info":"number node, value=1263","layer":4},{"info":"compute binary expreesion, left_input=3366, right_input=1263, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1237","layer":4},{"info":"compute unary expreesion, input=1237, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2474","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2474, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=5707, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=6349","layer":4},{"info":"number node, value=5921","layer":4},{"info":"compute binary expreesion, left_input=6349, right_input=5921, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-959425","layer":3},{"info":"number node, value=1389","layer":4},{"info":"number node, value=2304","layer":4},{"info":"compute binary expreesion, left_input=1389, right_input=2304, 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=-959425, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=5091","layer":4},{"info":"number node, value=3655","layer":4},{"info":"compute binary expreesion, left_input=5091, right_input=3655, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1534","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=1534, right_input=1266, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1534","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1534, 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 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10111110111⨸⪁≮⫘↔101100001101)⨎(≮⫘↔1000111010011⫸⊐≮⫘↔10110110010))∀⇚≩(≮⫘↔110100100110⩨≮⫘↔10011101111*(⪲⇎≮⫘↔10011010101))⨸⪁((≮⫘↔1100011001101⪄≮⫘↔1011100100001)⫥∨⫟≮⫘↔10101101101≹⇙⪍≮⫘↔100100000000)⋓≮⫘↔1001111100011⊴≮⫘↔111001000111⨪↰⇹(≮⫘↔10111111110⋝⋈⪟≮⫘↔10011110010)=NaN","reverse_text":"NaN=((≮⫘↔10111110111⨸⪁≮⫘↔101100001101)⨎(≮⫘↔1000111010011⫸⊐≮⫘↔10110110010))∀⇚≩(≮⫘↔110100100110⩨≮⫘↔10011101111*(⪲⇎≮⫘↔10011010101))⨸⪁((≮⫘↔1100011001101⪄≮⫘↔1011100100001)⫥∨⫟≮⫘↔10101101101≹⇙⪍≮⫘↔100100000000)⋓≮⫘↔1001111100011⊴≮⫘↔111001000111⨪↰⇹(≮⫘↔10111111110⋝⋈⪟≮⫘↔10011110010)","cot":[{"info":"≮⫘↔10111110111⨸⪁≮⫘↔101100001101=≮⫘↔10001000001000","layer":3},{"info":"≮⫘↔1000111010011⫸⊐≮⫘↔10110110010=≮⫘↔1011001001011","layer":3},{"info":"≮⫘↔10001000001000⨎≮⫘↔1011001001011=≮⫘↔1011001001011","layer":2},{"info":"≮⫘↔110100100110⩨≮⫘↔10011101111=≮⫘↔0","layer":3},{"info":"⪲⇎≮⫘↔10011010101=≮⫘↔100110101010","layer":3},{"info":"≮⫘↔0*≮⫘↔100110101010=≮⫘↔0","layer":2},{"info":"≮⫘↔1011001001011∀⇚≩≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔1100011001101⪄≮⫘↔1011100100001=≮⫘↔-11101010001111000001","layer":3},{"info":"≮⫘↔10101101101≹⇙⪍≮⫘↔100100000000=NaN","layer":3},{"info":"≮⫘↔-11101010001111000001⫥∨⫟NaN=NaN","layer":2},{"info":"≮⫘↔1001111100011⊴≮⫘↔111001000111=NaN","layer":3},{"info":"≮⫘↔10111111110⋝⋈⪟≮⫘↔10011110010=≮⫘↔10111111110","layer":3},{"info":"NaN⨪↰⇹≮⫘↔10111111110=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":658,"expression_no_base_symbol":"((≤/$3233$)⋥≓≎$1657$⨽$4558$⫡⨏((⨈⫕$2687$)/$1519$⋥≓≎$1347$))⊘","expression":"((≤/≮⫘↔110010100001)⋥≓≎≮⫘↔11001111001⨽≮⫘↔1000111001110⫡⨏((⨈⫕≮⫘↔101001111111)/≮⫘↔10111101111⋥≓≎≮⫘↔10101000011))⊘","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2086,"operation_count":8,"complexity_ratio":260.75,"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":3233,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1657,"base":2},"right_expr":{"type":"numeric_atoms","value":4558,"base":2}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2687,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1519,"base":2},"right_expr":{"type":"numeric_atoms","value":1347,"base":2}}}}},"used_operators":["gu96TGCTMs","QMFrweE19q","Qy55tPpLXF","eLAdDNolq6","8HhzD0ZcuI","XhwjNDsVaA","megm06wKyl"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3233","layer":4},{"info":"compute unary expreesion, input=3233, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2749","layer":3},{"info":"number node, value=1657","layer":4},{"info":"number node, value=4558","layer":4},{"info":"compute binary expreesion, left_input=1657, right_input=4558, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-8249307","layer":3},{"info":"compute binary expreesion, left_input=-2749, right_input=-8249307, 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=2687","layer":4},{"info":"compute unary expreesion, input=2687, 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=1519","layer":4},{"info":"number node, value=1347","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=1347, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1208","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=1208, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-1, 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=1116","layer":1},{"info":"compute unary expreesion, input=1116, 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":0}],"base":2,"result_base":2,"text":"((≤/≮⫘↔110010100001)⋥≓≎≮⫘↔11001111001⨽≮⫘↔1000111001110⫡⨏((⨈⫕≮⫘↔101001111111)/≮⫘↔10111101111⋥≓≎≮⫘↔10101000011))⊘=≮⫘↔0","reverse_text":"≮⫘↔0=((≤/≮⫘↔110010100001)⋥≓≎≮⫘↔11001111001⨽≮⫘↔1000111001110⫡⨏((⨈⫕≮⫘↔101001111111)/≮⫘↔10111101111⋥≓≎≮⫘↔10101000011))⊘","cot":[{"info":"≤/≮⫘↔110010100001=≮⫘↔-101010111101","layer":3},{"info":"≮⫘↔11001111001⨽≮⫘↔1000111001110=≮⫘↔-11111011101111111011011","layer":3},{"info":"≮⫘↔-101010111101⋥≓≎≮⫘↔-11111011101111111011011=≮⫘↔1000011","layer":2},{"info":"⨈⫕≮⫘↔101001111111=≮⫘↔-10101","layer":3},{"info":"≮⫘↔10111101111⋥≓≎≮⫘↔10101000011=≮⫘↔10010111000","layer":3},{"info":"≮⫘↔-10101/≮⫘↔10010111000=≮⫘↔-1","layer":2},{"info":"≮⫘↔1000011⫡⨏≮⫘↔-1=≮⫘↔10001011100","layer":1},{"info":"≮⫘↔10001011100⊘=≮⫘↔0","layer":0}]}
{"id":659,"expression_no_base_symbol":"((-$2060$)⫸⊐$3051$≹⇙⪍$7048$)⩚⊴⇥((≦∁$1979$)⪠⩆⊳)+(⨈⫕($7099$≭$1000$⨸⪁$2424$∼$1997$))","expression":"((-≮⫘↔100000001100)⫸⊐≮⫘↔101111101011≹⇙⪍≮⫘↔1101110001000)⩚⊴⇥((≦∁≮⫘↔11110111011)⪠⩆⊳)+(⨈⫕(≮⫘↔1101110111011≭≮⫘↔1111101000⨸⪁≮⫘↔100101111000∼≮⫘↔11111001101))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":456,"operation_count":11,"complexity_ratio":41.45454545454545,"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":2060,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3051,"base":2},"right_expr":{"type":"numeric_atoms","value":7048,"base":2}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1979,"base":2}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7099,"base":2},"right_expr":{"type":"numeric_atoms","value":1000,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2424,"base":2},"right_expr":{"type":"numeric_atoms","value":1997,"base":2}}}}},"used_operators":["W4YGzv6Whe","NTOWxs364D","mqXw5SEYmG","t8gj7n24qd","AHs5Up7iyr","JLbD19bQDL","9ICcGScMcE","megm06wKyl","g55IO6H4Gj","rxpJgHHUmx","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"≮⫘↔-10001010110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2060","layer":4},{"info":"compute unary expreesion, input=2060, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2060","layer":3},{"info":"number node, value=3051","layer":4},{"info":"number node, value=7048","layer":4},{"info":"compute binary expreesion, left_input=3051, right_input=7048, 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=-2060, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"number node, value=1979","layer":4},{"info":"compute unary expreesion, input=1979, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1979","layer":3},{"info":"compute unary expreesion, input=1979, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-1089","layer":1},{"info":"number node, value=7099","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=7099, right_input=1000, 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=2424","layer":4},{"info":"number node, value=1997","layer":4},{"info":"compute binary expreesion, left_input=2424, right_input=1997, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=-1089, right_input=-21, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-1110","layer":0}],"base":2,"result_base":2,"text":"((-≮⫘↔100000001100)⫸⊐≮⫘↔101111101011≹⇙⪍≮⫘↔1101110001000)⩚⊴⇥((≦∁≮⫘↔11110111011)⪠⩆⊳)+(⨈⫕(≮⫘↔1101110111011≭≮⫘↔1111101000⨸⪁≮⫘↔100101111000∼≮⫘↔11111001101))=≮⫘↔-10001010110","reverse_text":"≮⫘↔-10001010110=((-≮⫘↔100000001100)⫸⊐≮⫘↔101111101011≹⇙⪍≮⫘↔1101110001000)⩚⊴⇥((≦∁≮⫘↔11110111011)⪠⩆⊳)+(⨈⫕(≮⫘↔1101110111011≭≮⫘↔1111101000⨸⪁≮⫘↔100101111000∼≮⫘↔11111001101))","cot":[{"info":"-≮⫘↔100000001100=≮⫘↔-100000001100","layer":3},{"info":"≮⫘↔101111101011≹⇙⪍≮⫘↔1101110001000=NaN","layer":3},{"info":"≮⫘↔-100000001100⫸⊐NaN=≮⫘↔1111001000","layer":2},{"info":"≦∁≮⫘↔11110111011=≮⫘↔11110111011","layer":3},{"info":"≮⫘↔11110111011⪠⩆⊳=≮⫘↔0","layer":2},{"info":"≮⫘↔1111001000⩚⊴⇥≮⫘↔0=≮⫘↔-10001000001","layer":1},{"info":"≮⫘↔1101110111011≭≮⫘↔1111101000=NaN","layer":3},{"info":"≮⫘↔100101111000∼≮⫘↔11111001101=NaN","layer":3},{"info":"NaN⨸⪁NaN=NaN","layer":2},{"info":"⨈⫕NaN=≮⫘↔-10101","layer":1},{"info":"≮⫘↔-10001000001+≮⫘↔-10101=≮⫘↔-10001010110","layer":0}]}
{"id":660,"expression_no_base_symbol":"⊙↵-((↽≂$1114$⨟⋌⩍$1374$)⩚⊴⇥(⊄⩳↩($5311$≦≮≮)))","expression":"⊙↵-((↽≂≮⫘↔10001011010⨟⋌⩍≮⫘↔10101011110)⩚⊴⇥(⊄⩳↩(≮⫘↔1010010111111≦≮≮)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":40,"operation_count":6,"complexity_ratio":6.666666666666667,"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":1114,"base":2},"right_expr":{"type":"numeric_atoms","value":1374,"base":2}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":5311,"base":2}}}}},"used_operators":["oWn0xqSxBt","NTOWxs364D","u6S6b8DprG","rGHVDoGpnC","8w2t5hMYqp","D4vGDi5EA2"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1114","layer":4},{"info":"number node, value=1374","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=1374, 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 = 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=5311","layer":4},{"info":"compute unary expreesion, input=5311, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-15933","layer":3},{"info":"compute unary expreesion, input=-15933, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=47799","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=47799, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⊙↵-((↽≂≮⫘↔10001011010⨟⋌⩍≮⫘↔10101011110)⩚⊴⇥(⊄⩳↩(≮⫘↔1010010111111≦≮≮)))=NaN","reverse_text":"NaN=⊙↵-((↽≂≮⫘↔10001011010⨟⋌⩍≮⫘↔10101011110)⩚⊴⇥(⊄⩳↩(≮⫘↔1010010111111≦≮≮)))","cot":[{"info":"≮⫘↔10001011010⨟⋌⩍≮⫘↔10101011110=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"≮⫘↔1010010111111≦≮≮=≮⫘↔-11111000111101","layer":3},{"info":"⊄⩳↩≮⫘↔-11111000111101=≮⫘↔1011101010110111","layer":2},{"info":"NaN⩚⊴⇥≮⫘↔1011101010110111=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":661,"expression_no_base_symbol":"(⊄⩳↩(⋗⩬⋾$3036$⋝⋈⪟$5426$))⪛($4274$∼$1189$⇼⇔∾$2740$⨎$2117$↛⩡⫤)","expression":"(⊄⩳↩(⋗⩬⋾≮⫘↔101111011100⋝⋈⪟≮⫘↔1010100110010))⪛(≮⫘↔1000010110010∼≮⫘↔10010100101⇼⇔∾≮⫘↔101010110100⨎≮⫘↔100001000101↛⩡⫤)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":164,"operation_count":8,"complexity_ratio":20.5,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3036,"base":2},"right_expr":{"type":"numeric_atoms","value":5426,"base":2}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4274,"base":2},"right_expr":{"type":"numeric_atoms","value":1189,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2740,"base":2},"right_expr":{"type":"numeric_atoms","value":2117,"base":2}}}}},"used_operators":["uFcxV4UQCh","8w2t5hMYqp","DpFCA1CohY","2DDjHMKMc0","FU0Cs4j7VP","tifHPKVTfV","DyGG3AbaNP","rJVOvQCfKK"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3036","layer":4},{"info":"number node, value=5426","layer":4},{"info":"compute binary expreesion, left_input=3036, right_input=5426, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3036","layer":3},{"info":"compute unary expreesion, input=3036, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9108","layer":2},{"info":"compute unary expreesion, input=-9108, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=27324","layer":1},{"info":"number node, value=4274","layer":4},{"info":"number node, value=1189","layer":4},{"info":"compute binary expreesion, left_input=4274, right_input=1189, 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=2740","layer":4},{"info":"number node, value=2117","layer":4},{"info":"compute binary expreesion, left_input=2740, right_input=2117, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2117","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2117, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', 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=27324, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊄⩳↩(⋗⩬⋾≮⫘↔101111011100⋝⋈⪟≮⫘↔1010100110010))⪛(≮⫘↔1000010110010∼≮⫘↔10010100101⇼⇔∾≮⫘↔101010110100⨎≮⫘↔100001000101↛⩡⫤)=NaN","reverse_text":"NaN=(⊄⩳↩(⋗⩬⋾≮⫘↔101111011100⋝⋈⪟≮⫘↔1010100110010))⪛(≮⫘↔1000010110010∼≮⫘↔10010100101⇼⇔∾≮⫘↔101010110100⨎≮⫘↔100001000101↛⩡⫤)","cot":[{"info":"≮⫘↔101111011100⋝⋈⪟≮⫘↔1010100110010=≮⫘↔101111011100","layer":3},{"info":"⋗⩬⋾≮⫘↔101111011100=≮⫘↔-10001110010100","layer":2},{"info":"⊄⩳↩≮⫘↔-10001110010100=≮⫘↔110101010111100","layer":1},{"info":"≮⫘↔1000010110010∼≮⫘↔10010100101=NaN","layer":3},{"info":"≮⫘↔101010110100⨎≮⫘↔100001000101=≮⫘↔100001000101","layer":3},{"info":"NaN⇼⇔∾≮⫘↔100001000101=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"≮⫘↔110101010111100⪛NaN=NaN","layer":0}]}
{"id":662,"expression_no_base_symbol":"($3263$⨳⩥⨓$2480$↺$4272$+⇶⊼$4186$↙(($2294$⩠)+$1338$∲⫓$2756$))≭(↣≠⋷(-($5008$+$5637$)))","expression":"(≮⫘↔110010111111⨳⩥⨓≮⫘↔100110110000↺≮⫘↔1000010110000+⇶⊼≮⫘↔1000001011010↙((≮⫘↔100011110110⩠)+≮⫘↔10100111010∲⫓≮⫘↔101011000100))≭(↣≠⋷(-(≮⫘↔1001110010000+≮⫘↔1011000000101)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":34,"operation_count":11,"complexity_ratio":3.090909090909091,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3263,"base":2},"right_expr":{"type":"numeric_atoms","value":2480,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4272,"base":2},"right_expr":{"type":"numeric_atoms","value":4186,"base":2}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2294,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1338,"base":2},"right_expr":{"type":"numeric_atoms","value":2756,"base":2}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5008,"base":2},"right_expr":{"type":"numeric_atoms","value":5637,"base":2}}}}},"used_operators":["rxpJgHHUmx","yyfyN0ffXY","7j4O788W3g","nCS4ZIUYfx","TpPTUOHfaN","W4YGzv6Whe","sJAwomhLZr","i8ToyICDmI","Asc51vEJeQ","t8gj7n24qd"],"dependent_operators":["AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3263","layer":4},{"info":"number node, value=2480","layer":4},{"info":"compute binary expreesion, left_input=3263, right_input=2480, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-783","layer":3},{"info":"number node, value=4272","layer":4},{"info":"number node, value=4186","layer":4},{"info":"compute binary expreesion, left_input=4272, right_input=4186, 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=-783, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"number node, value=2294","layer":4},{"info":"compute unary expreesion, input=2294, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1338","layer":4},{"info":"number node, value=2756","layer":4},{"info":"compute binary expreesion, left_input=1338, right_input=2756, 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=0, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', 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":"number node, value=5008","layer":4},{"info":"number node, value=5637","layer":4},{"info":"compute binary expreesion, left_input=5008, right_input=5637, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10645","layer":3},{"info":"compute unary expreesion, input=10645, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-10645","layer":2},{"info":"compute unary expreesion, input=-10645, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":0}],"base":2,"result_base":2,"text":"(≮⫘↔110010111111⨳⩥⨓≮⫘↔100110110000↺≮⫘↔1000010110000+⇶⊼≮⫘↔1000001011010↙((≮⫘↔100011110110⩠)+≮⫘↔10100111010∲⫓≮⫘↔101011000100))≭(↣≠⋷(-(≮⫘↔1001110010000+≮⫘↔1011000000101)))=NaN","reverse_text":"NaN=(≮⫘↔110010111111⨳⩥⨓≮⫘↔100110110000↺≮⫘↔1000010110000+⇶⊼≮⫘↔1000001011010↙((≮⫘↔100011110110⩠)+≮⫘↔10100111010∲⫓≮⫘↔101011000100))≭(↣≠⋷(-(≮⫘↔1001110010000+≮⫘↔1011000000101)))","cot":[{"info":"≮⫘↔110010111111⨳⩥⨓≮⫘↔100110110000=≮⫘↔-1100001111","layer":3},{"info":"≮⫘↔1000010110000+⇶⊼≮⫘↔1000001011010=NaN","layer":3},{"info":"≮⫘↔-1100001111↺NaN=NaN","layer":2},{"info":"≮⫘↔100011110110⩠=≮⫘↔0","layer":3},{"info":"≮⫘↔10100111010∲⫓≮⫘↔101011000100=≮⫘↔0","layer":3},{"info":"≮⫘↔0+≮⫘↔0=≮⫘↔0","layer":2},{"info":"NaN↙≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔1001110010000+≮⫘↔1011000000101=≮⫘↔10100110010101","layer":3},{"info":"-≮⫘↔10100110010101=≮⫘↔-10100110010101","layer":2},{"info":"↣≠⋷≮⫘↔-10100110010101=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":663,"expression_no_base_symbol":"(((∥⊫$7859$)⊉≛↸$1624$≧⫂∧$2740$)↺($2936$%$1443$)⪘⫢($4378$⋥≓≎$1094$))↬((↽≂$1877$)⋓($8354$+$1433$)⫌⩹⨱)","expression":"(((∥⊫≮⫘↔1111010110011)⊉≛↸≮⫘↔11001011000≧⫂∧≮⫘↔101010110100)↺(≮⫘↔101101111000%≮⫘↔10110100011)⪘⫢(≮⫘↔1000100011010⋥≓≎≮⫘↔10001000110))↬((↽≂≮⫘↔11101010101)⋓(≮⫘↔10000010100010+≮⫘↔10110011001)⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":49,"operation_count":12,"complexity_ratio":4.083333333333333,"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":7859,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1624,"base":2},"right_expr":{"type":"numeric_atoms","value":2740,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2936,"base":2},"right_expr":{"type":"numeric_atoms","value":1443,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4378,"base":2},"right_expr":{"type":"numeric_atoms","value":1094,"base":2}}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1877,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":8354,"base":2},"right_expr":{"type":"numeric_atoms","value":1433,"base":2}}}}},"used_operators":["B5M0gjZbta","7j4O788W3g","DZ8iAZOCBD","P8v4zCKN1o","Ph9nP6C5qx","oacrs7FA3X","k8jYdgA6NY","Qy55tPpLXF","EBcxylXtPf","T2fj7uvVaJ","u6S6b8DprG","W4YGzv6Whe"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7859","layer":4},{"info":"compute unary expreesion, input=7859, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=8727","layer":3},{"info":"number node, value=1624","layer":4},{"info":"number node, value=2740","layer":4},{"info":"compute binary expreesion, left_input=1624, right_input=2740, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2267","layer":3},{"info":"compute binary expreesion, left_input=8727, right_input=2267, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=17454","layer":2},{"info":"number node, value=2936","layer":4},{"info":"number node, value=1443","layer":4},{"info":"compute binary expreesion, left_input=2936, right_input=1443, op_id = k8jYdgA6NY binary_op_definition= 'None', output=50","layer":3},{"info":"number node, value=4378","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=4378, right_input=1094, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2157","layer":3},{"info":"compute binary expreesion, left_input=50, right_input=-2157, 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=17454, right_input=-1, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1","layer":1},{"info":"number node, value=1877","layer":4},{"info":"compute unary expreesion, input=1877, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3754","layer":3},{"info":"number node, value=8354","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=8354, right_input=1433, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9787","layer":3},{"info":"compute binary expreesion, left_input=-3754, right_input=9787, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1401","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=1401, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((∥⊫≮⫘↔1111010110011)⊉≛↸≮⫘↔11001011000≧⫂∧≮⫘↔101010110100)↺(≮⫘↔101101111000%≮⫘↔10110100011)⪘⫢(≮⫘↔1000100011010⋥≓≎≮⫘↔10001000110))↬((↽≂≮⫘↔11101010101)⋓(≮⫘↔10000010100010+≮⫘↔10110011001)⫌⩹⨱)=NaN","reverse_text":"NaN=(((∥⊫≮⫘↔1111010110011)⊉≛↸≮⫘↔11001011000≧⫂∧≮⫘↔101010110100)↺(≮⫘↔101101111000%≮⫘↔10110100011)⪘⫢(≮⫘↔1000100011010⋥≓≎≮⫘↔10001000110))↬((↽≂≮⫘↔11101010101)⋓(≮⫘↔10000010100010+≮⫘↔10110011001)⫌⩹⨱)","cot":[{"info":"∥⊫≮⫘↔1111010110011=≮⫘↔10001000010111","layer":3},{"info":"≮⫘↔11001011000≧⫂∧≮⫘↔101010110100=≮⫘↔100011011011","layer":3},{"info":"≮⫘↔10001000010111⊉≛↸≮⫘↔100011011011=≮⫘↔100010000101110","layer":2},{"info":"≮⫘↔101101111000%≮⫘↔10110100011=≮⫘↔110010","layer":3},{"info":"≮⫘↔1000100011010⋥≓≎≮⫘↔10001000110=≮⫘↔-100001101101","layer":3},{"info":"≮⫘↔110010⪘⫢≮⫘↔-100001101101=≮⫘↔-1","layer":2},{"info":"≮⫘↔100010000101110↺≮⫘↔-1=≮⫘↔-1","layer":1},{"info":"↽≂≮⫘↔11101010101=≮⫘↔-111010101010","layer":3},{"info":"≮⫘↔10000010100010+≮⫘↔10110011001=≮⫘↔10011000111011","layer":3},{"info":"≮⫘↔-111010101010⋓≮⫘↔10011000111011=≮⫘↔0","layer":2},{"info":"≮⫘↔0⫌⩹⨱=≮⫘↔10101111001","layer":1},{"info":"≮⫘↔-1↬≮⫘↔10101111001=NaN","layer":0}]}
{"id":664,"expression_no_base_symbol":"(($1780$+⇶⊼$6685$⨳⩥⨓$5374$⨪↰⇹$4147$)≧⫂∧(-($5695$⫩⊇)))∀⇚≩($1407$⪮%⊝$3355$≧⫂∧($1925$⫸⊐$6966$)⋷($3560$⨽$2956$)⨰($5748$≎⊠⪸$2188$))","expression":"((≮⫘↔11011110100+⇶⊼≮⫘↔1101000011101⨳⩥⨓≮⫘↔1010011111110⨪↰⇹≮⫘↔1000000110011)≧⫂∧(-(≮⫘↔1011000111111⫩⊇)))∀⇚≩(≮⫘↔10101111111⪮%⊝≮⫘↔110100011011≧⫂∧(≮⫘↔11110000101⫸⊐≮⫘↔1101100110110)⋷(≮⫘↔110111101000⨽≮⫘↔101110001100)⨰(≮⫘↔1011001110100≎⊠⪸≮⫘↔100010001100))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":45524,"operation_count":14,"complexity_ratio":3251.714285714286,"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":1780,"base":2},"right_expr":{"type":"numeric_atoms","value":6685,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5374,"base":2},"right_expr":{"type":"numeric_atoms","value":4147,"base":2}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":5695,"base":2}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1407,"base":2},"right_expr":{"type":"numeric_atoms","value":3355,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1925,"base":2},"right_expr":{"type":"numeric_atoms","value":6966,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3560,"base":2},"right_expr":{"type":"numeric_atoms","value":2956,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5748,"base":2},"right_expr":{"type":"numeric_atoms","value":2188,"base":2}}}}},"used_operators":["LRNGc0VcxI","Ph9nP6C5qx","nCS4ZIUYfx","TpPTUOHfaN","tmPS8pqC7x","t8gj7n24qd","BjRHVeLaeN","23Mk6UjR3U","IWmyXbctLI","mqXw5SEYmG","eewbuw0ToL","8HhzD0ZcuI","bJkvcejdHO"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1780","layer":4},{"info":"number node, value=6685","layer":4},{"info":"compute binary expreesion, left_input=1780, right_input=6685, 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=5374","layer":4},{"info":"number node, value=4147","layer":4},{"info":"compute binary expreesion, left_input=5374, right_input=4147, 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=5374","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5374, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=5695","layer":4},{"info":"compute unary expreesion, input=5695, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5653","layer":3},{"info":"compute unary expreesion, input=-5653, op_id = t8gj7n24qd, unary_op_definition = 'None', output=5653","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5653, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5180","layer":1},{"info":"number node, value=1407","layer":4},{"info":"number node, value=3355","layer":4},{"info":"compute binary expreesion, left_input=1407, right_input=3355, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3130","layer":3},{"info":"number node, value=1925","layer":4},{"info":"number node, value=6966","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=6966, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=27739","layer":3},{"info":"compute binary expreesion, left_input=3130, right_input=27739, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=27266","layer":2},{"info":"number node, value=3560","layer":4},{"info":"number node, value=2956","layer":4},{"info":"compute binary expreesion, left_input=3560, right_input=2956, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-38028354","layer":3},{"info":"number node, value=5748","layer":4},{"info":"number node, value=2188","layer":4},{"info":"compute binary expreesion, left_input=5748, right_input=2188, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1488259","layer":3},{"info":"compute binary expreesion, left_input=-38028354, right_input=1488259, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-39516603","layer":2},{"info":"compute binary expreesion, left_input=27266, right_input=-39516603, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-79060472","layer":1},{"info":"compute binary expreesion, left_input=5180, right_input=-79060472, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11011110100+⇶⊼≮⫘↔1101000011101⨳⩥⨓≮⫘↔1010011111110⨪↰⇹≮⫘↔1000000110011)≧⫂∧(-(≮⫘↔1011000111111⫩⊇)))∀⇚≩(≮⫘↔10101111111⪮%⊝≮⫘↔110100011011≧⫂∧(≮⫘↔11110000101⫸⊐≮⫘↔1101100110110)⋷(≮⫘↔110111101000⨽≮⫘↔101110001100)⨰(≮⫘↔1011001110100≎⊠⪸≮⫘↔100010001100))=NaN","reverse_text":"NaN=((≮⫘↔11011110100+⇶⊼≮⫘↔1101000011101⨳⩥⨓≮⫘↔1010011111110⨪↰⇹≮⫘↔1000000110011)≧⫂∧(-(≮⫘↔1011000111111⫩⊇)))∀⇚≩(≮⫘↔10101111111⪮%⊝≮⫘↔110100011011≧⫂∧(≮⫘↔11110000101⫸⊐≮⫘↔1101100110110)⋷(≮⫘↔110111101000⨽≮⫘↔101110001100)⨰(≮⫘↔1011001110100≎⊠⪸≮⫘↔100010001100))","cot":[{"info":"≮⫘↔11011110100+⇶⊼≮⫘↔1101000011101=NaN","layer":3},{"info":"≮⫘↔1010011111110⨪↰⇹≮⫘↔1000000110011=≮⫘↔1010011111110","layer":3},{"info":"NaN⨳⩥⨓≮⫘↔1010011111110=NaN","layer":2},{"info":"≮⫘↔1011000111111⫩⊇=≮⫘↔-1011000010101","layer":3},{"info":"-≮⫘↔-1011000010101=≮⫘↔1011000010101","layer":2},{"info":"NaN≧⫂∧≮⫘↔1011000010101=≮⫘↔1010000111100","layer":1},{"info":"≮⫘↔10101111111⪮%⊝≮⫘↔110100011011=≮⫘↔110000111010","layer":3},{"info":"≮⫘↔11110000101⫸⊐≮⫘↔1101100110110=≮⫘↔110110001011011","layer":3},{"info":"≮⫘↔110000111010≧⫂∧≮⫘↔110110001011011=≮⫘↔110101010000010","layer":2},{"info":"≮⫘↔110111101000⨽≮⫘↔101110001100=≮⫘↔-10010001000100010001000010","layer":3},{"info":"≮⫘↔1011001110100≎⊠⪸≮⫘↔100010001100=≮⫘↔101101011010110000011","layer":3},{"info":"≮⫘↔-10010001000100010001000010⨰≮⫘↔101101011010110000011=≮⫘↔-10010110101111100110111011","layer":2},{"info":"≮⫘↔110101010000010⋷≮⫘↔-10010110101111100110111011=≮⫘↔-100101101100101110111111000","layer":1},{"info":"≮⫘↔1010000111100∀⇚≩≮⫘↔-100101101100101110111111000=NaN","layer":0}]}
{"id":665,"expression_no_base_symbol":"∂(↣≠⋷($1234$⨳⩥⨓$5328$-$2637$⊴$2484$))","expression":"∂(↣≠⋷(≮⫘↔10011010010⨳⩥⨓≮⫘↔1010011010000-≮⫘↔101001001101⊴≮⫘↔100110110100))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2878,"operation_count":5,"complexity_ratio":575.6,"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":1234,"base":2},"right_expr":{"type":"numeric_atoms","value":5328,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2637,"base":2},"right_expr":{"type":"numeric_atoms","value":2484,"base":2}}}}},"used_operators":["Uaa54Peajs","Asc51vEJeQ","rysDP5nf3Z","nCS4ZIUYfx","Nsiff2A1zJ"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1234","layer":4},{"info":"number node, value=5328","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=5328, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4094","layer":3},{"info":"number node, value=2637","layer":4},{"info":"number node, value=2484","layer":4},{"info":"compute binary expreesion, left_input=2637, right_input=2484, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4094, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', 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":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"∂(↣≠⋷(≮⫘↔10011010010⨳⩥⨓≮⫘↔1010011010000-≮⫘↔101001001101⊴≮⫘↔100110110100))=NaN","reverse_text":"NaN=∂(↣≠⋷(≮⫘↔10011010010⨳⩥⨓≮⫘↔1010011010000-≮⫘↔101001001101⊴≮⫘↔100110110100))","cot":[{"info":"≮⫘↔10011010010⨳⩥⨓≮⫘↔1010011010000=≮⫘↔111111111110","layer":3},{"info":"≮⫘↔101001001101⊴≮⫘↔100110110100=NaN","layer":3},{"info":"≮⫘↔111111111110-NaN=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":666,"expression_no_base_symbol":"(⊥((↥$1924$)↬(⨰⫟⨤$1233$)))+⇶⊼($2053$+⇶⊼$7154$↙$3838$∼$1001$/($1424$∲⫓$1571$)-$6977$⨽$1057$)","expression":"(⊥((↥≮⫘↔11110000100)↬(⨰⫟⨤≮⫘↔10011010001)))+⇶⊼(≮⫘↔100000000101+⇶⊼≮⫘↔1101111110010↙≮⫘↔111011111110∼≮⫘↔1111101001/(≮⫘↔10110010000∲⫓≮⫘↔11000100011)-≮⫘↔1101101000001⨽≮⫘↔10000100001)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11237,"operation_count":12,"complexity_ratio":936.4166666666666,"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":1924,"base":2}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1233,"base":2}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2053,"base":2},"right_expr":{"type":"numeric_atoms","value":7154,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3838,"base":2},"right_expr":{"type":"numeric_atoms","value":1001,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1424,"base":2},"right_expr":{"type":"numeric_atoms","value":1571,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6977,"base":2},"right_expr":{"type":"numeric_atoms","value":1057,"base":2}}}}},"used_operators":["TpPTUOHfaN","Q3PJZHRvZv","B5M0gjZbta","A8NUZmVepG","Tw270M8GLb","XhwjNDsVaA","yyfyN0ffXY","DyGG3AbaNP","rysDP5nf3Z","i8ToyICDmI","8HhzD0ZcuI"],"dependent_operators":["AHs5Up7iyr","fu6greOZ01","rGHVDoGpnC","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1924","layer":4},{"info":"compute unary expreesion, input=1924, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=37","layer":3},{"info":"number node, value=1233","layer":4},{"info":"compute unary expreesion, input=1233, 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=37, 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":2},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=2053","layer":4},{"info":"number node, value=7154","layer":4},{"info":"compute binary expreesion, left_input=2053, right_input=7154, 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=3838","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=3838, right_input=1001, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6977","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=6977, right_input=1057, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-146037444","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-146037444, op_id = rysDP5nf3Z binary_op_definition= 'None', output=146037444","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=146037444, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":2,"result_base":2,"text":"(⊥((↥≮⫘↔11110000100)↬(⨰⫟⨤≮⫘↔10011010001)))+⇶⊼(≮⫘↔100000000101+⇶⊼≮⫘↔1101111110010↙≮⫘↔111011111110∼≮⫘↔1111101001/(≮⫘↔10110010000∲⫓≮⫘↔11000100011)-≮⫘↔1101101000001⨽≮⫘↔10000100001)=NaN","reverse_text":"NaN=(⊥((↥≮⫘↔11110000100)↬(⨰⫟⨤≮⫘↔10011010001)))+⇶⊼(≮⫘↔100000000101+⇶⊼≮⫘↔1101111110010↙≮⫘↔111011111110∼≮⫘↔1111101001/(≮⫘↔10110010000∲⫓≮⫘↔11000100011)-≮⫘↔1101101000001⨽≮⫘↔10000100001)","cot":[{"info":"↥≮⫘↔11110000100=≮⫘↔100101","layer":3},{"info":"⨰⫟⨤≮⫘↔10011010001=NaN","layer":3},{"info":"≮⫘↔100101↬NaN=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"≮⫘↔100000000101+⇶⊼≮⫘↔1101111110010=NaN","layer":3},{"info":"≮⫘↔111011111110∼≮⫘↔1111101001=NaN","layer":3},{"info":"NaN↙NaN=NaN","layer":2},{"info":"≮⫘↔10110010000∲⫓≮⫘↔11000100011=≮⫘↔0","layer":3},{"info":"≮⫘↔1101101000001⨽≮⫘↔10000100001=≮⫘↔-1000101101000101101011000100","layer":3},{"info":"≮⫘↔0-≮⫘↔-1000101101000101101011000100=≮⫘↔1000101101000101101011000100","layer":2},{"info":"NaN/≮⫘↔1000101101000101101011000100=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":667,"expression_no_base_symbol":"($1611$+$2417$/$2727$⨳⩥⨓$3360$)⨎((∂$1364$)-$6890$⋳⪒$2084$)⋷(((≦∁$3750$)≭(⨞⊢$3493$))⇋≉)","expression":"(≮⫘↔11001001011+≮⫘↔100101110001/≮⫘↔101010100111⨳⩥⨓≮⫘↔110100100000)⨎((∂≮⫘↔10101010100)-≮⫘↔1101011101010⋳⪒≮⫘↔100000100100)⋷(((≦∁≮⫘↔111010100110)≭(⨞⊢≮⫘↔110110100101))⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":29,"operation_count":12,"complexity_ratio":2.4166666666666665,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1611,"base":2},"right_expr":{"type":"numeric_atoms","value":2417,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2727,"base":2},"right_expr":{"type":"numeric_atoms","value":3360,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1364,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6890,"base":2},"right_expr":{"type":"numeric_atoms","value":2084,"base":2}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3750,"base":2}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3493,"base":2}}}}},"used_operators":["23Mk6UjR3U","rJVOvQCfKK","XhwjNDsVaA","W4YGzv6Whe","nCS4ZIUYfx","rysDP5nf3Z","Uaa54Peajs","12rbrZMWeM","XIabStNQrY","rxpJgHHUmx","9ICcGScMcE","xUOZtlo3hN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1611","layer":4},{"info":"number node, value=2417","layer":4},{"info":"compute binary expreesion, left_input=1611, right_input=2417, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4028","layer":3},{"info":"number node, value=2727","layer":4},{"info":"number node, value=3360","layer":4},{"info":"compute binary expreesion, left_input=2727, right_input=3360, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=633","layer":3},{"info":"compute binary expreesion, left_input=4028, right_input=633, op_id = XhwjNDsVaA binary_op_definition= 'None', output=6","layer":2},{"info":"number node, value=1364","layer":4},{"info":"compute unary expreesion, input=1364, 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=6890","layer":4},{"info":"number node, value=2084","layer":4},{"info":"compute binary expreesion, left_input=6890, right_input=2084, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=11409","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11409, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6, 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=3750","layer":4},{"info":"compute unary expreesion, input=3750, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3750","layer":3},{"info":"number node, value=3493","layer":4},{"info":"compute unary expreesion, input=3493, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3667","layer":3},{"info":"compute binary expreesion, left_input=3750, right_input=-3667, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11001001011+≮⫘↔100101110001/≮⫘↔101010100111⨳⩥⨓≮⫘↔110100100000)⨎((∂≮⫘↔10101010100)-≮⫘↔1101011101010⋳⪒≮⫘↔100000100100)⋷(((≦∁≮⫘↔111010100110)≭(⨞⊢≮⫘↔110110100101))⇋≉)=NaN","reverse_text":"NaN=(≮⫘↔11001001011+≮⫘↔100101110001/≮⫘↔101010100111⨳⩥⨓≮⫘↔110100100000)⨎((∂≮⫘↔10101010100)-≮⫘↔1101011101010⋳⪒≮⫘↔100000100100)⋷(((≦∁≮⫘↔111010100110)≭(⨞⊢≮⫘↔110110100101))⇋≉)","cot":[{"info":"≮⫘↔11001001011+≮⫘↔100101110001=≮⫘↔111110111100","layer":3},{"info":"≮⫘↔101010100111⨳⩥⨓≮⫘↔110100100000=≮⫘↔1001111001","layer":3},{"info":"≮⫘↔111110111100/≮⫘↔1001111001=≮⫘↔110","layer":2},{"info":"∂≮⫘↔10101010100=NaN","layer":3},{"info":"≮⫘↔1101011101010⋳⪒≮⫘↔100000100100=≮⫘↔10110010010001","layer":3},{"info":"NaN-≮⫘↔10110010010001=NaN","layer":2},{"info":"≮⫘↔110⨎NaN=NaN","layer":1},{"info":"≦∁≮⫘↔111010100110=≮⫘↔111010100110","layer":3},{"info":"⨞⊢≮⫘↔110110100101=≮⫘↔-111001010011","layer":3},{"info":"≮⫘↔111010100110≭≮⫘↔-111001010011=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":668,"expression_no_base_symbol":"+⊝⨔(($3438$⊭↱$3666$)⨎($1067$⋷$4837$)⋷($1020$+⇶⊼$1053$⫌⩹⨱))","expression":"+⊝⨔((≮⫘↔110101101110⊭↱≮⫘↔111001010010)⨎(≮⫘↔10000101011⋷≮⫘↔1001011100101)⋷(≮⫘↔1111111100+⇶⊼≮⫘↔10000011101⫌⩹⨱))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":41,"operation_count":7,"complexity_ratio":5.857142857142857,"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":3438,"base":2},"right_expr":{"type":"numeric_atoms","value":3666,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1067,"base":2},"right_expr":{"type":"numeric_atoms","value":4837,"base":2}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1020,"base":2},"right_expr":{"type":"numeric_atoms","value":1053,"base":2}}}}},"used_operators":["DhbWaqg5eL","23Mk6UjR3U","rJVOvQCfKK","COABgblf1C","EBcxylXtPf","TpPTUOHfaN"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr"],"result":"≮⫘↔10111110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3438","layer":4},{"info":"number node, value=3666","layer":4},{"info":"compute binary expreesion, left_input=3438, right_input=3666, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=461","layer":3},{"info":"number node, value=1067","layer":4},{"info":"number node, value=4837","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=4837, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8607","layer":3},{"info":"compute binary expreesion, left_input=461, right_input=8607, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=8607","layer":2},{"info":"number node, value=1020","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=1053, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8607, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":2,"result_base":2,"text":"+⊝⨔((≮⫘↔110101101110⊭↱≮⫘↔111001010010)⨎(≮⫘↔10000101011⋷≮⫘↔1001011100101)⋷(≮⫘↔1111111100+⇶⊼≮⫘↔10000011101⫌⩹⨱))=≮⫘↔10111110010","reverse_text":"≮⫘↔10111110010=+⊝⨔((≮⫘↔110101101110⊭↱≮⫘↔111001010010)⨎(≮⫘↔10000101011⋷≮⫘↔1001011100101)⋷(≮⫘↔1111111100+⇶⊼≮⫘↔10000011101⫌⩹⨱))","cot":[{"info":"≮⫘↔110101101110⊭↱≮⫘↔111001010010=≮⫘↔111001101","layer":3},{"info":"≮⫘↔10000101011⋷≮⫘↔1001011100101=≮⫘↔10000110011111","layer":3},{"info":"≮⫘↔111001101⨎≮⫘↔10000110011111=≮⫘↔10000110011111","layer":2},{"info":"≮⫘↔1111111100+⇶⊼≮⫘↔10000011101=NaN","layer":3},{"info":"NaN⫌⩹⨱=NaN","layer":2},{"info":"≮⫘↔10000110011111⋷NaN=NaN","layer":1},{"info":"+⊝⨔NaN=≮⫘↔10111110010","layer":0}]}
{"id":669,"expression_no_base_symbol":"(≦∁$7157$≎⊠⪸$4682$⋥≓≎($6259$≫≃))∧","expression":"(≦∁≮⫘↔1101111110101≎⊠⪸≮⫘↔1001001001010⋥≓≎(≮⫘↔1100001110011≫≃))∧","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6775,"operation_count":5,"complexity_ratio":1355.0,"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":7157,"base":2},"right_expr":{"type":"numeric_atoms","value":4682,"base":2}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":6259,"base":2}}}}},"used_operators":["z63VuFQld9","9ICcGScMcE","Qy55tPpLXF","bJkvcejdHO","X99M06cbEe"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"≮⫘↔-10000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7157","layer":4},{"info":"number node, value=4682","layer":4},{"info":"compute binary expreesion, left_input=7157, right_input=4682, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1853190","layer":3},{"info":"number node, value=6259","layer":4},{"info":"compute unary expreesion, input=6259, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=13919","layer":3},{"info":"compute binary expreesion, left_input=1853190, right_input=13919, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1825319","layer":2},{"info":"compute unary expreesion, input=-1825319, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=-134","layer":0}],"base":2,"result_base":2,"text":"(≦∁≮⫘↔1101111110101≎⊠⪸≮⫘↔1001001001010⋥≓≎(≮⫘↔1100001110011≫≃))∧=≮⫘↔-10000110","reverse_text":"≮⫘↔-10000110=(≦∁≮⫘↔1101111110101≎⊠⪸≮⫘↔1001001001010⋥≓≎(≮⫘↔1100001110011≫≃))∧","cot":[{"info":"≮⫘↔1101111110101≎⊠⪸≮⫘↔1001001001010=≮⫘↔111000100011100000110","layer":3},{"info":"≮⫘↔1100001110011≫≃=≮⫘↔11011001011111","layer":3},{"info":"≮⫘↔111000100011100000110⋥≓≎≮⫘↔11011001011111=≮⫘↔-110111101101000100111","layer":2},{"info":"≦∁≮⫘↔-110111101101000100111=≮⫘↔1000011","layer":1},{"info":"≮⫘↔1000011∧=≮⫘↔-10000110","layer":0}]}
{"id":670,"expression_no_base_symbol":"⪝⪂⫅(↣≠⋷($1912$⪐))∼(($3056$⩚⊴⇥$2290$)≫≃)","expression":"⪝⪂⫅(↣≠⋷(≮⫘↔11101111000⪐))∼((≮⫘↔101111110000⩚⊴⇥≮⫘↔100011110010)≫≃)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":22,"operation_count":6,"complexity_ratio":3.6666666666666665,"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":1912,"base":2}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3056,"base":2},"right_expr":{"type":"numeric_atoms","value":2290,"base":2}}}}},"used_operators":["XTarYq4gQB","DyGG3AbaNP","Asc51vEJeQ","eH2TOUuTDT","X99M06cbEe","NTOWxs364D"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1912","layer":4},{"info":"compute unary expreesion, input=1912, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3824","layer":3},{"info":"compute unary expreesion, input=3824, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=3056","layer":4},{"info":"number node, value=2290","layer":4},{"info":"compute binary expreesion, left_input=3056, right_input=2290, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5467","layer":3},{"info":"compute unary expreesion, input=-5467, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-9533","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-9533, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⪝⪂⫅(↣≠⋷(≮⫘↔11101111000⪐))∼((≮⫘↔101111110000⩚⊴⇥≮⫘↔100011110010)≫≃)=NaN","reverse_text":"NaN=⪝⪂⫅(↣≠⋷(≮⫘↔11101111000⪐))∼((≮⫘↔101111110000⩚⊴⇥≮⫘↔100011110010)≫≃)","cot":[{"info":"≮⫘↔11101111000⪐=≮⫘↔111011110000","layer":3},{"info":"↣≠⋷≮⫘↔111011110000=NaN","layer":2},{"info":"≮⫘↔101111110000⩚⊴⇥≮⫘↔100011110010=≮⫘↔-1010101011011","layer":3},{"info":"≮⫘↔-1010101011011≫≃=≮⫘↔-10010100111101","layer":2},{"info":"NaN∼≮⫘↔-10010100111101=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":671,"expression_no_base_symbol":"(≤/($3934$⊉≛↸$1866$-$1001$⨎$1973$))⋫","expression":"(≤/(≮⫘↔111101011110⊉≛↸≮⫘↔11101001010-≮⫘↔1111101001⨎≮⫘↔11110110101))⋫","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5416,"operation_count":5,"complexity_ratio":1083.2,"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":3934,"base":2},"right_expr":{"type":"numeric_atoms","value":1866,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1001,"base":2},"right_expr":{"type":"numeric_atoms","value":1973,"base":2}}}}},"used_operators":["JL8yIekQnl","eLAdDNolq6","rysDP5nf3Z","DZ8iAZOCBD","rJVOvQCfKK"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"≮⫘↔1010100100011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3934","layer":4},{"info":"number node, value=1866","layer":4},{"info":"compute binary expreesion, left_input=3934, right_input=1866, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7868","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=1973","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=1973, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1973","layer":3},{"info":"compute binary expreesion, left_input=7868, right_input=1973, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5895","layer":2},{"info":"compute unary expreesion, input=5895, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5411","layer":1},{"info":"compute unary expreesion, input=-5411, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5411","layer":0}],"base":2,"result_base":2,"text":"(≤/(≮⫘↔111101011110⊉≛↸≮⫘↔11101001010-≮⫘↔1111101001⨎≮⫘↔11110110101))⋫=≮⫘↔1010100100011","reverse_text":"≮⫘↔1010100100011=(≤/(≮⫘↔111101011110⊉≛↸≮⫘↔11101001010-≮⫘↔1111101001⨎≮⫘↔11110110101))⋫","cot":[{"info":"≮⫘↔111101011110⊉≛↸≮⫘↔11101001010=≮⫘↔1111010111100","layer":3},{"info":"≮⫘↔1111101001⨎≮⫘↔11110110101=≮⫘↔11110110101","layer":3},{"info":"≮⫘↔1111010111100-≮⫘↔11110110101=≮⫘↔1011100000111","layer":2},{"info":"≤/≮⫘↔1011100000111=≮⫘↔-1010100100011","layer":1},{"info":"≮⫘↔-1010100100011⋫=≮⫘↔1010100100011","layer":0}]}
{"id":672,"expression_no_base_symbol":"(($2496$∲⫓$7982$)↺$1766$⩷∴$3335$∲⫓($3235$⨎$1352$)∀⇚≩($3467$⊦⊿))≭((≉$8153$)≭($5519$⩨$1350$))≹⇙⪍($3725$⇷$3974$⪄$1305$⋝⋈⪟$1643$)","expression":"((≮⫘↔100111000000∲⫓≮⫘↔1111100101110)↺≮⫘↔11011100110⩷∴≮⫘↔110100000111∲⫓(≮⫘↔110010100011⨎≮⫘↔10101001000)∀⇚≩(≮⫘↔110110001011⊦⊿))≭((≉≮⫘↔1111111011001)≭(≮⫘↔1010110001111⩨≮⫘↔10101000110))≹⇙⪍(≮⫘↔111010001101⇷≮⫘↔111110000110⪄≮⫘↔10100011001⋝⋈⪟≮⫘↔11001101011)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":61746,"operation_count":15,"complexity_ratio":4116.4,"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":2496,"base":2},"right_expr":{"type":"numeric_atoms","value":7982,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1766,"base":2},"right_expr":{"type":"numeric_atoms","value":3335,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3235,"base":2},"right_expr":{"type":"numeric_atoms","value":1352,"base":2}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3467,"base":2}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":8153,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5519,"base":2},"right_expr":{"type":"numeric_atoms","value":1350,"base":2}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3725,"base":2},"right_expr":{"type":"numeric_atoms","value":3974,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1305,"base":2},"right_expr":{"type":"numeric_atoms","value":1643,"base":2}}}}},"used_operators":["rxpJgHHUmx","i8ToyICDmI","7j4O788W3g","9FxExcQeMw","LRNGc0VcxI","rJVOvQCfKK","14qkJME0vr","AHs5Up7iyr","e1ybzncUwg","2DlMacCsIx","SUmda5xLS4","mp7IySMOzn","2DDjHMKMc0"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","X99M06cbEe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2496","layer":4},{"info":"number node, value=7982","layer":4},{"info":"compute binary expreesion, left_input=2496, right_input=7982, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1766","layer":4},{"info":"number node, value=3335","layer":4},{"info":"compute binary expreesion, left_input=1766, right_input=3335, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3170","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3170, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-3170","layer":2},{"info":"number node, value=3235","layer":4},{"info":"number node, value=1352","layer":4},{"info":"compute binary expreesion, left_input=3235, 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=3467","layer":4},{"info":"compute unary expreesion, input=3467, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-10480","layer":3},{"info":"compute binary expreesion, left_input=1352, right_input=-10480, 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=-3170, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=8153","layer":4},{"info":"compute unary expreesion, input=8153, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=8684","layer":3},{"info":"number node, value=5519","layer":4},{"info":"number node, value=1350","layer":4},{"info":"compute binary expreesion, left_input=5519, right_input=1350, 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=8684, 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":"number node, value=3725","layer":4},{"info":"number node, value=3974","layer":4},{"info":"compute binary expreesion, left_input=3725, right_input=3974, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7948","layer":3},{"info":"number node, value=1305","layer":4},{"info":"number node, value=1643","layer":4},{"info":"compute binary expreesion, left_input=1305, right_input=1643, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1305","layer":3},{"info":"compute binary expreesion, left_input=7948, right_input=1305, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1177613","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=-1177613, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100111000000∲⫓≮⫘↔1111100101110)↺≮⫘↔11011100110⩷∴≮⫘↔110100000111∲⫓(≮⫘↔110010100011⨎≮⫘↔10101001000)∀⇚≩(≮⫘↔110110001011⊦⊿))≭((≉≮⫘↔1111111011001)≭(≮⫘↔1010110001111⩨≮⫘↔10101000110))≹⇙⪍(≮⫘↔111010001101⇷≮⫘↔111110000110⪄≮⫘↔10100011001⋝⋈⪟≮⫘↔11001101011)=NaN","reverse_text":"NaN=((≮⫘↔100111000000∲⫓≮⫘↔1111100101110)↺≮⫘↔11011100110⩷∴≮⫘↔110100000111∲⫓(≮⫘↔110010100011⨎≮⫘↔10101001000)∀⇚≩(≮⫘↔110110001011⊦⊿))≭((≉≮⫘↔1111111011001)≭(≮⫘↔1010110001111⩨≮⫘↔10101000110))≹⇙⪍(≮⫘↔111010001101⇷≮⫘↔111110000110⪄≮⫘↔10100011001⋝⋈⪟≮⫘↔11001101011)","cot":[{"info":"≮⫘↔100111000000∲⫓≮⫘↔1111100101110=≮⫘↔0","layer":3},{"info":"≮⫘↔11011100110⩷∴≮⫘↔110100000111=≮⫘↔-110001100010","layer":3},{"info":"≮⫘↔0↺≮⫘↔-110001100010=≮⫘↔-110001100010","layer":2},{"info":"≮⫘↔110010100011⨎≮⫘↔10101001000=≮⫘↔10101001000","layer":3},{"info":"≮⫘↔110110001011⊦⊿=≮⫘↔-10100011110000","layer":3},{"info":"≮⫘↔10101001000∀⇚≩≮⫘↔-10100011110000=NaN","layer":2},{"info":"≮⫘↔-110001100010∲⫓NaN=NaN","layer":1},{"info":"≉≮⫘↔1111111011001=≮⫘↔10000111101100","layer":3},{"info":"≮⫘↔1010110001111⩨≮⫘↔10101000110=≮⫘↔0","layer":3},{"info":"≮⫘↔10000111101100≭≮⫘↔0=≮⫘↔-10110","layer":2},{"info":"≮⫘↔111010001101⇷≮⫘↔111110000110=≮⫘↔1111100001100","layer":3},{"info":"≮⫘↔10100011001⋝⋈⪟≮⫘↔11001101011=≮⫘↔10100011001","layer":3},{"info":"≮⫘↔1111100001100⪄≮⫘↔10100011001=≮⫘↔-100011111100000001101","layer":2},{"info":"≮⫘↔-10110≹⇙⪍≮⫘↔-100011111100000001101=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":673,"expression_no_base_symbol":"(↥(↣≠⋷$2649$))⋳⪒(($3469$⫡⨏$1883$)⨐⩸⫘($1928$⇋≉))⪒(($3197$⨽$1005$⨵⪆(≦∁$1068$))∸)","expression":"(↥(↣≠⋷≮⫘↔101001011001))⋳⪒((≮⫘↔110110001101⫡⨏≮⫘↔11101011011)⨐⩸⫘(≮⫘↔11110001000⇋≉))⪒((≮⫘↔110001111101⨽≮⫘↔1111101101⨵⪆(≦∁≮⫘↔10000101100))∸)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3410,"operation_count":11,"complexity_ratio":310.0,"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":2649,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3469,"base":2},"right_expr":{"type":"numeric_atoms","value":1883,"base":2}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1928,"base":2}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3197,"base":2},"right_expr":{"type":"numeric_atoms","value":1005,"base":2}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1068,"base":2}}}}},"used_operators":["f6k1SAg4EE","12rbrZMWeM","A8NUZmVepG","Asc51vEJeQ","fu6greOZ01","QMFrweE19q","XIabStNQrY","o20kRiQErp","2DQ55sFlQl","8HhzD0ZcuI","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2649","layer":4},{"info":"compute unary expreesion, input=2649, op_id = Asc51vEJeQ, 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=3469","layer":4},{"info":"number node, value=1883","layer":4},{"info":"compute binary expreesion, left_input=3469, right_input=1883, 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=21894","layer":3},{"info":"number node, value=1928","layer":4},{"info":"compute unary expreesion, input=1928, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3758","layer":3},{"info":"compute binary expreesion, left_input=21894, right_input=3758, 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=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=3197","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=3197, right_input=1005, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-30664128","layer":3},{"info":"number node, value=1068","layer":4},{"info":"compute unary expreesion, input=1068, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1068","layer":3},{"info":"compute binary expreesion, left_input=-30664128, right_input=1068, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↥(↣≠⋷≮⫘↔101001011001))⋳⪒((≮⫘↔110110001101⫡⨏≮⫘↔11101011011)⨐⩸⫘(≮⫘↔11110001000⇋≉))⪒((≮⫘↔110001111101⨽≮⫘↔1111101101⨵⪆(≦∁≮⫘↔10000101100))∸)=NaN","reverse_text":"NaN=(↥(↣≠⋷≮⫘↔101001011001))⋳⪒((≮⫘↔110110001101⫡⨏≮⫘↔11101011011)⨐⩸⫘(≮⫘↔11110001000⇋≉))⪒((≮⫘↔110001111101⨽≮⫘↔1111101101⨵⪆(≦∁≮⫘↔10000101100))∸)","cot":[{"info":"↣≠⋷≮⫘↔101001011001=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"≮⫘↔110110001101⫡⨏≮⫘↔11101011011=≮⫘↔101010110000110","layer":3},{"info":"≮⫘↔11110001000⇋≉=≮⫘↔111010101110","layer":3},{"info":"≮⫘↔101010110000110⨐⩸⫘≮⫘↔111010101110=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"≮⫘↔110001111101⨽≮⫘↔1111101101=≮⫘↔-1110100111110010111000000","layer":3},{"info":"≦∁≮⫘↔10000101100=≮⫘↔10000101100","layer":3},{"info":"≮⫘↔-1110100111110010111000000⨵⪆≮⫘↔10000101100=≮⫘↔10100000","layer":2},{"info":"≮⫘↔10100000∸=≮⫘↔10110001","layer":1},{"info":"NaN⪒≮⫘↔10110001=NaN","layer":0}]}
{"id":674,"expression_no_base_symbol":"(($2210$⊘)≧⫂∧($2733$+⇶⊼$2911$)∲⫓(↩(↯⪼$8366$)))⋓(≉(($1398$↛⩡⫤)≦≮≮))","expression":"((≮⫘↔100010100010⊘)≧⫂∧(≮⫘↔101010101101+⇶⊼≮⫘↔101101011111)∲⫓(↩(↯⪼≮⫘↔10000010101110)))⋓(≉((≮⫘↔10101110110↛⩡⫤)≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4419,"operation_count":10,"complexity_ratio":441.9,"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":2210,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2733,"base":2},"right_expr":{"type":"numeric_atoms","value":2911,"base":2}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":8366,"base":2}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1398,"base":2}}}}},"used_operators":["T2fj7uvVaJ","i8ToyICDmI","Ph9nP6C5qx","gu96TGCTMs","TpPTUOHfaN","jLgFTUHLKL","8jW3W4yZS5","e1ybzncUwg","D4vGDi5EA2","FU0Cs4j7VP"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2210","layer":4},{"info":"compute unary expreesion, input=2210, 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=2733","layer":4},{"info":"number node, value=2911","layer":4},{"info":"compute binary expreesion, left_input=2733, right_input=2911, 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=0, 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=8366","layer":4},{"info":"compute unary expreesion, input=8366, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=5096","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5096, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1398","layer":4},{"info":"compute unary expreesion, input=1398, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-207187","layer":3},{"info":"compute unary expreesion, input=-207187, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=621561","layer":2},{"info":"compute unary expreesion, input=621561, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=622092","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=622092, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100010100010⊘)≧⫂∧(≮⫘↔101010101101+⇶⊼≮⫘↔101101011111)∲⫓(↩(↯⪼≮⫘↔10000010101110)))⋓(≉((≮⫘↔10101110110↛⩡⫤)≦≮≮))=≮⫘↔0","reverse_text":"≮⫘↔0=((≮⫘↔100010100010⊘)≧⫂∧(≮⫘↔101010101101+⇶⊼≮⫘↔101101011111)∲⫓(↩(↯⪼≮⫘↔10000010101110)))⋓(≉((≮⫘↔10101110110↛⩡⫤)≦≮≮))","cot":[{"info":"≮⫘↔100010100010⊘=≮⫘↔0","layer":3},{"info":"≮⫘↔101010101101+⇶⊼≮⫘↔101101011111=NaN","layer":3},{"info":"≮⫘↔0≧⫂∧NaN=NaN","layer":2},{"info":"↯⪼≮⫘↔10000010101110=≮⫘↔-10101","layer":3},{"info":"↩≮⫘↔-10101=≮⫘↔1001111101000","layer":2},{"info":"NaN∲⫓≮⫘↔1001111101000=≮⫘↔0","layer":1},{"info":"≮⫘↔10101110110↛⩡⫤=≮⫘↔-110010100101010011","layer":3},{"info":"≮⫘↔-110010100101010011≦≮≮=≮⫘↔10010111101111111001","layer":2},{"info":"≉≮⫘↔10010111101111111001=≮⫘↔10010111111000001100","layer":1},{"info":"≮⫘↔0⋓≮⫘↔10010111111000001100=≮⫘↔0","layer":0}]}
{"id":675,"expression_no_base_symbol":"(($2951$⩨$1026$↪⪝)∲⫓$1005$⪛$7666$⨽($1067$⇼⇔∾$3709$))≋⫹","expression":"((≮⫘↔101110000111⩨≮⫘↔10000000010↪⪝)∲⫓≮⫘↔1111101101⪛≮⫘↔1110111110010⨽(≮⫘↔10000101011⇼⇔∾≮⫘↔111001111101))≋⫹","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1033,"operation_count":7,"complexity_ratio":147.57142857142858,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2951,"base":2},"right_expr":{"type":"numeric_atoms","value":1026,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1005,"base":2},"right_expr":{"type":"numeric_atoms","value":7666,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1067,"base":2},"right_expr":{"type":"numeric_atoms","value":3709,"base":2}}}}},"used_operators":["N41Kp7NANJ","i8ToyICDmI","l07mrZUIn9","2DlMacCsIx","8HhzD0ZcuI","uFcxV4UQCh","tifHPKVTfV"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2951","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=2951, right_input=1026, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=0","layer":2},{"info":"number node, value=1005","layer":4},{"info":"number node, value=7666","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=7666, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1005","layer":3},{"info":"number node, value=1067","layer":4},{"info":"number node, value=3709","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=3709, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2642","layer":3},{"info":"compute binary expreesion, left_input=1005, right_input=2642, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3036687","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-3036687, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=0","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101110000111⩨≮⫘↔10000000010↪⪝)∲⫓≮⫘↔1111101101⪛≮⫘↔1110111110010⨽(≮⫘↔10000101011⇼⇔∾≮⫘↔111001111101))≋⫹=≮⫘↔0","reverse_text":"≮⫘↔0=((≮⫘↔101110000111⩨≮⫘↔10000000010↪⪝)∲⫓≮⫘↔1111101101⪛≮⫘↔1110111110010⨽(≮⫘↔10000101011⇼⇔∾≮⫘↔111001111101))≋⫹","cot":[{"info":"≮⫘↔101110000111⩨≮⫘↔10000000010=≮⫘↔0","layer":3},{"info":"≮⫘↔0↪⪝=≮⫘↔0","layer":2},{"info":"≮⫘↔1111101101⪛≮⫘↔1110111110010=≮⫘↔1111101101","layer":3},{"info":"≮⫘↔10000101011⇼⇔∾≮⫘↔111001111101=≮⫘↔101001010010","layer":3},{"info":"≮⫘↔1111101101⨽≮⫘↔101001010010=≮⫘↔-1011100101011000001111","layer":2},{"info":"≮⫘↔0∲⫓≮⫘↔-1011100101011000001111=≮⫘↔0","layer":1},{"info":"≮⫘↔0≋⫹=≮⫘↔0","layer":0}]}
{"id":676,"expression_no_base_symbol":"(⫛⫱⨽(($7420$⋷$2332$)⋓($4711$⨰$2746$)))≹⇙⪍(((⨞⊢$1018$)⪒$8971$⋥≓≎$2629$)≧⫂∧(($1419$⨽$2844$)⋝⋈⪟(↽≂$1471$)))","expression":"(⫛⫱⨽((≮⫘↔1110011111100⋷≮⫘↔100100011100)⋓(≮⫘↔1001001100111⨰≮⫘↔101010111010)))≹⇙⪍(((⨞⊢≮⫘↔1111111010)⪒≮⫘↔10001100001011⋥≓≎≮⫘↔101001000101)≧⫂∧((≮⫘↔10110001011⨽≮⫘↔101100011100)⋝⋈⪟(↽≂≮⫘↔10110111111)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2380,"operation_count":12,"complexity_ratio":198.33333333333334,"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":7420,"base":2},"right_expr":{"type":"numeric_atoms","value":2332,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4711,"base":2},"right_expr":{"type":"numeric_atoms","value":2746,"base":2}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1018,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":8971,"base":2},"right_expr":{"type":"numeric_atoms","value":2629,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1419,"base":2},"right_expr":{"type":"numeric_atoms","value":2844,"base":2}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1471,"base":2}}}}},"used_operators":["AHs5Up7iyr","DlLNRPXxWL","T2fj7uvVaJ","23Mk6UjR3U","eewbuw0ToL","Ph9nP6C5qx","f6k1SAg4EE","xUOZtlo3hN","Qy55tPpLXF","2DDjHMKMc0","8HhzD0ZcuI","u6S6b8DprG"],"dependent_operators":["dWAJyo7jo9","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7420","layer":4},{"info":"number node, value=2332","layer":4},{"info":"compute binary expreesion, left_input=7420, right_input=2332, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2756","layer":3},{"info":"number node, value=4711","layer":4},{"info":"number node, value=2746","layer":4},{"info":"compute binary expreesion, left_input=4711, right_input=2746, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1975","layer":3},{"info":"compute binary expreesion, left_input=-2756, right_input=1975, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=1018","layer":4},{"info":"compute unary expreesion, input=1018, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1192","layer":3},{"info":"number node, value=8971","layer":4},{"info":"number node, value=2629","layer":4},{"info":"compute binary expreesion, left_input=8971, right_input=2629, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3680","layer":3},{"info":"compute binary expreesion, left_input=-1192, right_input=-3680, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=4872","layer":2},{"info":"number node, value=1419","layer":4},{"info":"number node, value=2844","layer":4},{"info":"compute binary expreesion, left_input=1419, right_input=2844, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6047901","layer":3},{"info":"number node, value=1471","layer":4},{"info":"compute unary expreesion, input=1471, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2942","layer":3},{"info":"compute binary expreesion, left_input=-6047901, right_input=-2942, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-6047901","layer":2},{"info":"compute binary expreesion, left_input=4872, right_input=-6047901, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6052773","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=6052773, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⫛⫱⨽((≮⫘↔1110011111100⋷≮⫘↔100100011100)⋓(≮⫘↔1001001100111⨰≮⫘↔101010111010)))≹⇙⪍(((⨞⊢≮⫘↔1111111010)⪒≮⫘↔10001100001011⋥≓≎≮⫘↔101001000101)≧⫂∧((≮⫘↔10110001011⨽≮⫘↔101100011100)⋝⋈⪟(↽≂≮⫘↔10110111111)))=NaN","reverse_text":"NaN=(⫛⫱⨽((≮⫘↔1110011111100⋷≮⫘↔100100011100)⋓(≮⫘↔1001001100111⨰≮⫘↔101010111010)))≹⇙⪍(((⨞⊢≮⫘↔1111111010)⪒≮⫘↔10001100001011⋥≓≎≮⫘↔101001000101)≧⫂∧((≮⫘↔10110001011⨽≮⫘↔101100011100)⋝⋈⪟(↽≂≮⫘↔10110111111)))","cot":[{"info":"≮⫘↔1110011111100⋷≮⫘↔100100011100=≮⫘↔-101011000100","layer":3},{"info":"≮⫘↔1001001100111⨰≮⫘↔101010111010=≮⫘↔11110110111","layer":3},{"info":"≮⫘↔-101011000100⋓≮⫘↔11110110111=≮⫘↔0","layer":2},{"info":"⫛⫱⨽≮⫘↔0=≮⫘↔0","layer":1},{"info":"⨞⊢≮⫘↔1111111010=≮⫘↔-10010101000","layer":3},{"info":"≮⫘↔10001100001011⋥≓≎≮⫘↔101001000101=≮⫘↔-111001100000","layer":3},{"info":"≮⫘↔-10010101000⪒≮⫘↔-111001100000=≮⫘↔1001100001000","layer":2},{"info":"≮⫘↔10110001011⨽≮⫘↔101100011100=≮⫘↔-10111000100100010011101","layer":3},{"info":"↽≂≮⫘↔10110111111=≮⫘↔-101101111110","layer":3},{"info":"≮⫘↔-10111000100100010011101⋝⋈⪟≮⫘↔-101101111110=≮⫘↔-10111000100100010011101","layer":2},{"info":"≮⫘↔1001100001000≧⫂∧≮⫘↔-10111000100100010011101=≮⫘↔10111000101101110100101","layer":1},{"info":"≮⫘↔0≹⇙⪍≮⫘↔10111000101101110100101=NaN","layer":0}]}
{"id":677,"expression_no_base_symbol":"((($5992$⊭↱$2033$)⋳⪒$5826$⊴$1093$)∧)⫸⊐((⩦⩻⨪$1131$)⪠⩆⊳)⋳⪒($3957$⨳⩥⨓$4684$-$6754$⨰$5158$)","expression":"(((≮⫘↔1011101101000⊭↱≮⫘↔11111110001)⋳⪒≮⫘↔1011011000010⊴≮⫘↔10001000101)∧)⫸⊐((⩦⩻⨪≮⫘↔10001101011)⪠⩆⊳)⋳⪒(≮⫘↔111101110101⨳⩥⨓≮⫘↔1001001001100-≮⫘↔1101001100010⨰≮⫘↔1010000100110)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4419,"operation_count":11,"complexity_ratio":401.72727272727275,"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":5992,"base":2},"right_expr":{"type":"numeric_atoms","value":2033,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5826,"base":2},"right_expr":{"type":"numeric_atoms","value":1093,"base":2}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1131,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3957,"base":2},"right_expr":{"type":"numeric_atoms","value":4684,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6754,"base":2},"right_expr":{"type":"numeric_atoms","value":5158,"base":2}}}}},"used_operators":["mqXw5SEYmG","z63VuFQld9","12rbrZMWeM","COABgblf1C","Nsiff2A1zJ","JLbD19bQDL","2td37pGCOC","rysDP5nf3Z","nCS4ZIUYfx","eewbuw0ToL"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5992","layer":4},{"info":"number node, value=2033","layer":4},{"info":"compute binary expreesion, left_input=5992, right_input=2033, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7913","layer":3},{"info":"number node, value=5826","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=5826, right_input=1093, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7913, right_input=nan, 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 = 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=1131","layer":4},{"info":"compute unary expreesion, input=1131, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1131","layer":3},{"info":"compute unary expreesion, input=1131, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"number node, value=3957","layer":4},{"info":"number node, value=4684","layer":4},{"info":"compute binary expreesion, left_input=3957, right_input=4684, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=727","layer":3},{"info":"number node, value=6754","layer":4},{"info":"number node, value=5158","layer":4},{"info":"compute binary expreesion, left_input=6754, right_input=5158, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1606","layer":3},{"info":"compute binary expreesion, left_input=727, right_input=1606, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-879","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-879, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=592","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=592, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1011101101000⊭↱≮⫘↔11111110001)⋳⪒≮⫘↔1011011000010⊴≮⫘↔10001000101)∧)⫸⊐((⩦⩻⨪≮⫘↔10001101011)⪠⩆⊳)⋳⪒(≮⫘↔111101110101⨳⩥⨓≮⫘↔1001001001100-≮⫘↔1101001100010⨰≮⫘↔1010000100110)=NaN","reverse_text":"NaN=(((≮⫘↔1011101101000⊭↱≮⫘↔11111110001)⋳⪒≮⫘↔1011011000010⊴≮⫘↔10001000101)∧)⫸⊐((⩦⩻⨪≮⫘↔10001101011)⪠⩆⊳)⋳⪒(≮⫘↔111101110101⨳⩥⨓≮⫘↔1001001001100-≮⫘↔1101001100010⨰≮⫘↔1010000100110)","cot":[{"info":"≮⫘↔1011101101000⊭↱≮⫘↔11111110001=≮⫘↔-1111011101001","layer":3},{"info":"≮⫘↔1011011000010⊴≮⫘↔10001000101=NaN","layer":3},{"info":"≮⫘↔-1111011101001⋳⪒NaN=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"⩦⩻⨪≮⫘↔10001101011=≮⫘↔10001101011","layer":3},{"info":"≮⫘↔10001101011⪠⩆⊳=≮⫘↔0","layer":2},{"info":"≮⫘↔111101110101⨳⩥⨓≮⫘↔1001001001100=≮⫘↔1011010111","layer":3},{"info":"≮⫘↔1101001100010⨰≮⫘↔1010000100110=≮⫘↔11001000110","layer":3},{"info":"≮⫘↔1011010111-≮⫘↔11001000110=≮⫘↔-1101101111","layer":2},{"info":"≮⫘↔0⋳⪒≮⫘↔-1101101111=≮⫘↔1001010000","layer":1},{"info":"NaN⫸⊐≮⫘↔1001010000=NaN","layer":0}]}
{"id":678,"expression_no_base_symbol":"($2560$⨪↰⇹$1345$)⨟⋌⩍($3321$⪐)∑⇟⊟(($1768$⪐)%$6224$∀⇚≩$1915$)⊭∹↮","expression":"(≮⫘↔101000000000⨪↰⇹≮⫘↔10101000001)⨟⋌⩍(≮⫘↔110011111001⪐)∑⇟⊟((≮⫘↔11011101000⪐)%≮⫘↔1100001010000∀⇚≩≮⫘↔11101111011)⊭∹↮","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":46141,"operation_count":8,"complexity_ratio":5767.625,"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":2560,"base":2},"right_expr":{"type":"numeric_atoms","value":1345,"base":2}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3321,"base":2}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1768,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6224,"base":2},"right_expr":{"type":"numeric_atoms","value":1915,"base":2}}}}},"used_operators":["xNBdhnnwKq","U7g4x0WXJJ","rGHVDoGpnC","tmPS8pqC7x","eH2TOUuTDT","k8jYdgA6NY","LRNGc0VcxI"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Tcnh7f0tEr","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2560","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=2560, right_input=1345, 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=2560","layer":3},{"info":"number node, value=3321","layer":4},{"info":"compute unary expreesion, input=3321, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=6642","layer":3},{"info":"compute binary expreesion, left_input=2560, right_input=6642, 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=1768","layer":4},{"info":"compute unary expreesion, input=1768, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3536","layer":3},{"info":"number node, value=6224","layer":4},{"info":"number node, value=1915","layer":4},{"info":"compute binary expreesion, left_input=6224, right_input=1915, 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=3536, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101000000000⨪↰⇹≮⫘↔10101000001)⨟⋌⩍(≮⫘↔110011111001⪐)∑⇟⊟((≮⫘↔11011101000⪐)%≮⫘↔1100001010000∀⇚≩≮⫘↔11101111011)⊭∹↮=NaN","reverse_text":"NaN=(≮⫘↔101000000000⨪↰⇹≮⫘↔10101000001)⨟⋌⩍(≮⫘↔110011111001⪐)∑⇟⊟((≮⫘↔11011101000⪐)%≮⫘↔1100001010000∀⇚≩≮⫘↔11101111011)⊭∹↮","cot":[{"info":"≮⫘↔101000000000⨪↰⇹≮⫘↔10101000001=≮⫘↔101000000000","layer":3},{"info":"≮⫘↔110011111001⪐=≮⫘↔1100111110010","layer":3},{"info":"≮⫘↔101000000000⨟⋌⩍≮⫘↔1100111110010=NaN","layer":2},{"info":"≮⫘↔11011101000⪐=≮⫘↔110111010000","layer":3},{"info":"≮⫘↔1100001010000∀⇚≩≮⫘↔11101111011=NaN","layer":3},{"info":"≮⫘↔110111010000%NaN=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":679,"expression_no_base_symbol":"(($2206$≎⊠⪸$3318$)⪢($5181$∑⇟⊟$5025$)↙($3710$⊉≛↸$1407$+$4527$⋳⪒$5400$))≦≮≮","expression":"((≮⫘↔100010011110≎⊠⪸≮⫘↔110011110110)⪢(≮⫘↔1010000111101∑⇟⊟≮⫘↔1001110100001)↙(≮⫘↔111001111110⊉≛↸≮⫘↔10101111111+≮⫘↔1000110101111⋳⪒≮⫘↔1010100011000))≦≮≮","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":286,"operation_count":8,"complexity_ratio":35.75,"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":2206,"base":2},"right_expr":{"type":"numeric_atoms","value":3318,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5181,"base":2},"right_expr":{"type":"numeric_atoms","value":5025,"base":2}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3710,"base":2},"right_expr":{"type":"numeric_atoms","value":1407,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4527,"base":2},"right_expr":{"type":"numeric_atoms","value":5400,"base":2}}}}},"used_operators":["D4vGDi5EA2","yyfyN0ffXY","dWAJyo7jo9","bJkvcejdHO","U7g4x0WXJJ","W4YGzv6Whe","DZ8iAZOCBD","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2206","layer":4},{"info":"number node, value=3318","layer":4},{"info":"compute binary expreesion, left_input=2206, right_input=3318, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=570881","layer":3},{"info":"number node, value=5181","layer":4},{"info":"number node, value=5025","layer":4},{"info":"compute binary expreesion, left_input=5181, right_input=5025, 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=570881, 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=3710","layer":4},{"info":"number node, value=1407","layer":4},{"info":"compute binary expreesion, left_input=3710, right_input=1407, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7420","layer":3},{"info":"number node, value=4527","layer":4},{"info":"number node, value=5400","layer":4},{"info":"compute binary expreesion, left_input=4527, right_input=5400, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3367","layer":3},{"info":"compute binary expreesion, left_input=7420, right_input=3367, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10787","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10787, 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100010011110≎⊠⪸≮⫘↔110011110110)⪢(≮⫘↔1010000111101∑⇟⊟≮⫘↔1001110100001)↙(≮⫘↔111001111110⊉≛↸≮⫘↔10101111111+≮⫘↔1000110101111⋳⪒≮⫘↔1010100011000))≦≮≮=NaN","reverse_text":"NaN=((≮⫘↔100010011110≎⊠⪸≮⫘↔110011110110)⪢(≮⫘↔1010000111101∑⇟⊟≮⫘↔1001110100001)↙(≮⫘↔111001111110⊉≛↸≮⫘↔10101111111+≮⫘↔1000110101111⋳⪒≮⫘↔1010100011000))≦≮≮","cot":[{"info":"≮⫘↔100010011110≎⊠⪸≮⫘↔110011110110=≮⫘↔10001011011000000001","layer":3},{"info":"≮⫘↔1010000111101∑⇟⊟≮⫘↔1001110100001=NaN","layer":3},{"info":"≮⫘↔10001011011000000001⪢NaN=NaN","layer":2},{"info":"≮⫘↔111001111110⊉≛↸≮⫘↔10101111111=≮⫘↔1110011111100","layer":3},{"info":"≮⫘↔1000110101111⋳⪒≮⫘↔1010100011000=≮⫘↔110100100111","layer":3},{"info":"≮⫘↔1110011111100+≮⫘↔110100100111=≮⫘↔10101000100011","layer":2},{"info":"NaN↙≮⫘↔10101000100011=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":680,"expression_no_base_symbol":"(∂($2059$⊴$3284$+$6273$↺$6782$))⋷($6659$≹⇙⪍$1020$⋷$1122$⨎$4391$)⨓(($4472$*$3271$)⪠⩆⊳)","expression":"(∂(≮⫘↔100000001011⊴≮⫘↔110011010100+≮⫘↔1100010000001↺≮⫘↔1101001111110))⋷(≮⫘↔1101000000011≹⇙⪍≮⫘↔1111111100⋷≮⫘↔10001100010⨎≮⫘↔1000100100111)⨓((≮⫘↔1000101111000*≮⫘↔110011000111)⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6584,"operation_count":11,"complexity_ratio":598.5454545454545,"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":2059,"base":2},"right_expr":{"type":"numeric_atoms","value":3284,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6273,"base":2},"right_expr":{"type":"numeric_atoms","value":6782,"base":2}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6659,"base":2},"right_expr":{"type":"numeric_atoms","value":1020,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1122,"base":2},"right_expr":{"type":"numeric_atoms","value":4391,"base":2}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4472,"base":2},"right_expr":{"type":"numeric_atoms","value":3271,"base":2}}}}},"used_operators":["23Mk6UjR3U","Uaa54Peajs","W4YGzv6Whe","Nsiff2A1zJ","7j4O788W3g","3ViojmjbAp","AHs5Up7iyr","rJVOvQCfKK","JLbD19bQDL","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2059","layer":4},{"info":"number node, value=3284","layer":4},{"info":"compute binary expreesion, left_input=2059, right_input=3284, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=6273","layer":4},{"info":"number node, value=6782","layer":4},{"info":"compute binary expreesion, left_input=6273, right_input=6782, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6782","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6782, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"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":1},{"info":"number node, value=6659","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=6659, right_input=1020, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1122","layer":4},{"info":"number node, value=4391","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=4391, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4391","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4391, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=4472","layer":4},{"info":"number node, value=3271","layer":4},{"info":"compute binary expreesion, left_input=4472, right_input=3271, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=14627912","layer":3},{"info":"compute unary expreesion, input=14627912, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(∂(≮⫘↔100000001011⊴≮⫘↔110011010100+≮⫘↔1100010000001↺≮⫘↔1101001111110))⋷(≮⫘↔1101000000011≹⇙⪍≮⫘↔1111111100⋷≮⫘↔10001100010⨎≮⫘↔1000100100111)⨓((≮⫘↔1000101111000*≮⫘↔110011000111)⪠⩆⊳)=NaN","reverse_text":"NaN=(∂(≮⫘↔100000001011⊴≮⫘↔110011010100+≮⫘↔1100010000001↺≮⫘↔1101001111110))⋷(≮⫘↔1101000000011≹⇙⪍≮⫘↔1111111100⋷≮⫘↔10001100010⨎≮⫘↔1000100100111)⨓((≮⫘↔1000101111000*≮⫘↔110011000111)⪠⩆⊳)","cot":[{"info":"≮⫘↔100000001011⊴≮⫘↔110011010100=NaN","layer":3},{"info":"≮⫘↔1100010000001↺≮⫘↔1101001111110=≮⫘↔1101001111110","layer":3},{"info":"NaN+≮⫘↔1101001111110=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"≮⫘↔1101000000011≹⇙⪍≮⫘↔1111111100=NaN","layer":3},{"info":"≮⫘↔10001100010⨎≮⫘↔1000100100111=≮⫘↔1000100100111","layer":3},{"info":"NaN⋷≮⫘↔1000100100111=NaN","layer":2},{"info":"≮⫘↔1000101111000*≮⫘↔110011000111=≮⫘↔110111110011010001001000","layer":3},{"info":"≮⫘↔110111110011010001001000⪠⩆⊳=≮⫘↔0","layer":2},{"info":"NaN⨓≮⫘↔0=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":681,"expression_no_base_symbol":"((($3020$⨎$1251$)⊭∹↮)⨸⪁(↽≂(⨈⫕$3694$)))⫥∨⫟(($2774$⩨$1370$-$7957$-$1358$)⨎($2773$⇷$3398$↙($4921$⊭∹↮)))","expression":"(((≮⫘↔101111001100⨎≮⫘↔10011100011)⊭∹↮)⨸⪁(↽≂(⨈⫕≮⫘↔111001101110)))⫥∨⫟((≮⫘↔101011010110⩨≮⫘↔10101011010-≮⫘↔1111100010101-≮⫘↔10101001110)⨎(≮⫘↔101011010101⇷≮⫘↔110101000110↙(≮⫘↔1001100111001⊭∹↮)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":49239,"operation_count":13,"complexity_ratio":3787.6153846153848,"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":3020,"base":2},"right_expr":{"type":"numeric_atoms","value":1251,"base":2}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3694,"base":2}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2774,"base":2},"right_expr":{"type":"numeric_atoms","value":1370,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7957,"base":2},"right_expr":{"type":"numeric_atoms","value":1358,"base":2}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2773,"base":2},"right_expr":{"type":"numeric_atoms","value":3398,"base":2}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4921,"base":2}}}}},"used_operators":["KYD54nUTWz","g55IO6H4Gj","xNBdhnnwKq","rJVOvQCfKK","u6S6b8DprG","megm06wKyl","rysDP5nf3Z","2DlMacCsIx","yyfyN0ffXY","mp7IySMOzn"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3020","layer":4},{"info":"number node, value=1251","layer":4},{"info":"compute binary expreesion, left_input=3020, right_input=1251, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1251","layer":3},{"info":"compute unary expreesion, input=1251, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2502","layer":2},{"info":"number node, value=3694","layer":4},{"info":"compute unary expreesion, input=3694, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=42","layer":2},{"info":"compute binary expreesion, left_input=2502, right_input=42, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5088","layer":1},{"info":"number node, value=2774","layer":4},{"info":"number node, value=1370","layer":4},{"info":"compute binary expreesion, left_input=2774, right_input=1370, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=7957","layer":4},{"info":"number node, value=1358","layer":4},{"info":"compute binary expreesion, left_input=7957, right_input=1358, op_id = rysDP5nf3Z binary_op_definition= 'None', output=6599","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6599, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-6599","layer":2},{"info":"number node, value=2773","layer":4},{"info":"number node, value=3398","layer":4},{"info":"compute binary expreesion, left_input=2773, right_input=3398, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6796","layer":3},{"info":"number node, value=4921","layer":4},{"info":"compute unary expreesion, input=4921, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9842","layer":3},{"info":"compute binary expreesion, left_input=6796, right_input=9842, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-29526","layer":2},{"info":"compute binary expreesion, left_input=-6599, right_input=-29526, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-29526","layer":1},{"info":"compute binary expreesion, left_input=5088, right_input=-29526, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔101111001100⨎≮⫘↔10011100011)⊭∹↮)⨸⪁(↽≂(⨈⫕≮⫘↔111001101110)))⫥∨⫟((≮⫘↔101011010110⩨≮⫘↔10101011010-≮⫘↔1111100010101-≮⫘↔10101001110)⨎(≮⫘↔101011010101⇷≮⫘↔110101000110↙(≮⫘↔1001100111001⊭∹↮)))=NaN","reverse_text":"NaN=(((≮⫘↔101111001100⨎≮⫘↔10011100011)⊭∹↮)⨸⪁(↽≂(⨈⫕≮⫘↔111001101110)))⫥∨⫟((≮⫘↔101011010110⩨≮⫘↔10101011010-≮⫘↔1111100010101-≮⫘↔10101001110)⨎(≮⫘↔101011010101⇷≮⫘↔110101000110↙(≮⫘↔1001100111001⊭∹↮)))","cot":[{"info":"≮⫘↔101111001100⨎≮⫘↔10011100011=≮⫘↔10011100011","layer":3},{"info":"≮⫘↔10011100011⊭∹↮=≮⫘↔100111000110","layer":2},{"info":"⨈⫕≮⫘↔111001101110=≮⫘↔-10101","layer":3},{"info":"↽≂≮⫘↔-10101=≮⫘↔101010","layer":2},{"info":"≮⫘↔100111000110⨸⪁≮⫘↔101010=≮⫘↔1001111100000","layer":1},{"info":"≮⫘↔101011010110⩨≮⫘↔10101011010=≮⫘↔0","layer":3},{"info":"≮⫘↔1111100010101-≮⫘↔10101001110=≮⫘↔1100111000111","layer":3},{"info":"≮⫘↔0-≮⫘↔1100111000111=≮⫘↔-1100111000111","layer":2},{"info":"≮⫘↔101011010101⇷≮⫘↔110101000110=≮⫘↔1101010001100","layer":3},{"info":"≮⫘↔1001100111001⊭∹↮=≮⫘↔10011001110010","layer":3},{"info":"≮⫘↔1101010001100↙≮⫘↔10011001110010=≮⫘↔-111001101010110","layer":2},{"info":"≮⫘↔-1100111000111⨎≮⫘↔-111001101010110=≮⫘↔-111001101010110","layer":1},{"info":"≮⫘↔1001111100000⫥∨⫟≮⫘↔-111001101010110=NaN","layer":0}]}
{"id":682,"expression_no_base_symbol":"((+⊝⨔($7739$⇷$2317$))%(⇁⨣⪵$3973$⋥≓≎$4403$))⨸⪁(⨈⫕(⊄⩳↩($4663$≦≮≮)))","expression":"((+⊝⨔(≮⫘↔1111000111011⇷≮⫘↔100100001101))%(⇁⨣⪵≮⫘↔111110000101⋥≓≎≮⫘↔1000100110011))⨸⪁(⨈⫕(⊄⩳↩(≮⫘↔1001000110111≦≮≮)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":108793,"operation_count":9,"complexity_ratio":12088.111111111111,"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":7739,"base":2},"right_expr":{"type":"numeric_atoms","value":2317,"base":2}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3973,"base":2},"right_expr":{"type":"numeric_atoms","value":4403,"base":2}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4663,"base":2}}}}},"used_operators":["g55IO6H4Gj","k8jYdgA6NY","DhbWaqg5eL","mp7IySMOzn","inkyxCbjAn","Qy55tPpLXF","megm06wKyl","8w2t5hMYqp","D4vGDi5EA2"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7739","layer":4},{"info":"number node, value=2317","layer":4},{"info":"compute binary expreesion, left_input=7739, right_input=2317, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4634","layer":3},{"info":"compute unary expreesion, input=4634, 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=3973","layer":4},{"info":"number node, value=4403","layer":4},{"info":"compute binary expreesion, left_input=3973, right_input=4403, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4866","layer":3},{"info":"compute unary expreesion, input=4866, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4663","layer":4},{"info":"compute unary expreesion, input=4663, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-13989","layer":3},{"info":"compute unary expreesion, input=-13989, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=41967","layer":2},{"info":"compute unary expreesion, input=41967, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((+⊝⨔(≮⫘↔1111000111011⇷≮⫘↔100100001101))%(⇁⨣⪵≮⫘↔111110000101⋥≓≎≮⫘↔1000100110011))⨸⪁(⨈⫕(⊄⩳↩(≮⫘↔1001000110111≦≮≮)))=NaN","reverse_text":"NaN=((+⊝⨔(≮⫘↔1111000111011⇷≮⫘↔100100001101))%(⇁⨣⪵≮⫘↔111110000101⋥≓≎≮⫘↔1000100110011))⨸⪁(⨈⫕(⊄⩳↩(≮⫘↔1001000110111≦≮≮)))","cot":[{"info":"≮⫘↔1111000111011⇷≮⫘↔100100001101=≮⫘↔1001000011010","layer":3},{"info":"+⊝⨔≮⫘↔1001000011010=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔111110000101⋥≓≎≮⫘↔1000100110011=≮⫘↔1001100000010","layer":3},{"info":"⇁⨣⪵≮⫘↔1001100000010=NaN","layer":2},{"info":"≮⫘↔10111110010%NaN=NaN","layer":1},{"info":"≮⫘↔1001000110111≦≮≮=≮⫘↔-11011010100101","layer":3},{"info":"⊄⩳↩≮⫘↔-11011010100101=≮⫘↔1010001111101111","layer":2},{"info":"⨈⫕≮⫘↔1010001111101111=≮⫘↔-10101","layer":1},{"info":"NaN⨸⪁≮⫘↔-10101=NaN","layer":0}]}
{"id":683,"expression_no_base_symbol":"$1125$∼$1920$⨽($3829$⨳⩥⨓$2651$)⫸⊐($2745$⨓$1147$)⨟⋌⩍($1545$*$5604$)+(∂(($5433$⨰$3508$)⨓(↥$2590$)))","expression":"≮⫘↔10001100101∼≮⫘↔11110000000⨽(≮⫘↔111011110101⨳⩥⨓≮⫘↔101001011011)⫸⊐(≮⫘↔101010111001⨓≮⫘↔10001111011)⨟⋌⩍(≮⫘↔11000001001*≮⫘↔1010111100100)+(∂((≮⫘↔1010100111001⨰≮⫘↔110110110100)⨓(↥≮⫘↔101000011110)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3260,"operation_count":12,"complexity_ratio":271.6666666666667,"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":1125,"base":2},"right_expr":{"type":"numeric_atoms","value":1920,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3829,"base":2},"right_expr":{"type":"numeric_atoms","value":2651,"base":2}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2745,"base":2},"right_expr":{"type":"numeric_atoms","value":1147,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1545,"base":2},"right_expr":{"type":"numeric_atoms","value":5604,"base":2}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5433,"base":2},"right_expr":{"type":"numeric_atoms","value":3508,"base":2}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2590,"base":2}}}}},"used_operators":["W4YGzv6Whe","mqXw5SEYmG","8HhzD0ZcuI","DyGG3AbaNP","nCS4ZIUYfx","rGHVDoGpnC","3ViojmjbAp","9HNa5Wba9A","Uaa54Peajs","eewbuw0ToL","A8NUZmVepG"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1125","layer":4},{"info":"number node, value=1920","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=1920, 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=3829","layer":4},{"info":"number node, value=2651","layer":4},{"info":"compute binary expreesion, left_input=3829, right_input=2651, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1178","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1178, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=2745","layer":4},{"info":"number node, value=1147","layer":4},{"info":"compute binary expreesion, left_input=2745, right_input=1147, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1150","layer":3},{"info":"number node, value=1545","layer":4},{"info":"number node, value=5604","layer":4},{"info":"compute binary expreesion, left_input=1545, right_input=5604, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8658180","layer":3},{"info":"compute binary expreesion, left_input=-1150, right_input=8658180, 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 = 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=5433","layer":4},{"info":"number node, value=3508","layer":4},{"info":"compute binary expreesion, left_input=5433, right_input=3508, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1935","layer":3},{"info":"number node, value=2590","layer":4},{"info":"compute unary expreesion, input=2590, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=40","layer":3},{"info":"compute binary expreesion, left_input=1935, right_input=40, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-43","layer":2},{"info":"compute unary expreesion, input=-43, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-221","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-221, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔10001100101∼≮⫘↔11110000000⨽(≮⫘↔111011110101⨳⩥⨓≮⫘↔101001011011)⫸⊐(≮⫘↔101010111001⨓≮⫘↔10001111011)⨟⋌⩍(≮⫘↔11000001001*≮⫘↔1010111100100)+(∂((≮⫘↔1010100111001⨰≮⫘↔110110110100)⨓(↥≮⫘↔101000011110)))=NaN","reverse_text":"NaN=≮⫘↔10001100101∼≮⫘↔11110000000⨽(≮⫘↔111011110101⨳⩥⨓≮⫘↔101001011011)⫸⊐(≮⫘↔101010111001⨓≮⫘↔10001111011)⨟⋌⩍(≮⫘↔11000001001*≮⫘↔1010111100100)+(∂((≮⫘↔1010100111001⨰≮⫘↔110110110100)⨓(↥≮⫘↔101000011110)))","cot":[{"info":"≮⫘↔10001100101∼≮⫘↔11110000000=NaN","layer":3},{"info":"≮⫘↔111011110101⨳⩥⨓≮⫘↔101001011011=≮⫘↔-10010011010","layer":3},{"info":"NaN⨽≮⫘↔-10010011010=NaN","layer":2},{"info":"≮⫘↔101010111001⨓≮⫘↔10001111011=≮⫘↔-10001111110","layer":3},{"info":"≮⫘↔11000001001*≮⫘↔1010111100100=≮⫘↔100001000001110100000100","layer":3},{"info":"≮⫘↔-10001111110⨟⋌⩍≮⫘↔100001000001110100000100=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"≮⫘↔1010100111001⨰≮⫘↔110110110100=≮⫘↔11110001111","layer":3},{"info":"↥≮⫘↔101000011110=≮⫘↔101000","layer":3},{"info":"≮⫘↔11110001111⨓≮⫘↔101000=≮⫘↔-101011","layer":2},{"info":"∂≮⫘↔-101011=≮⫘↔-11011101","layer":1},{"info":"NaN+≮⫘↔-11011101=NaN","layer":0}]}
{"id":684,"expression_no_base_symbol":"(($1912$↬$2262$⩨$3862$⋳⪒$3398$)⊪)⨪↰⇹(($7691$∲⫓$6777$)⋓($6054$⨳⩥⨓$3996$)⇼⇔∾(⩦⩻⨪($6243$*$3717$)))","expression":"((≮⫘↔11101111000↬≮⫘↔100011010110⩨≮⫘↔111100010110⋳⪒≮⫘↔110101000110)⊪)⨪↰⇹((≮⫘↔1111000001011∲⫓≮⫘↔1101001111001)⋓(≮⫘↔1011110100110⨳⩥⨓≮⫘↔111110011100)⇼⇔∾(⩦⩻⨪(≮⫘↔1100001100011*≮⫘↔111010000101)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3766,"operation_count":11,"complexity_ratio":342.3636363636364,"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":1912,"base":2},"right_expr":{"type":"numeric_atoms","value":2262,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3862,"base":2},"right_expr":{"type":"numeric_atoms","value":3398,"base":2}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":7691,"base":2},"right_expr":{"type":"numeric_atoms","value":6777,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6054,"base":2},"right_expr":{"type":"numeric_atoms","value":3996,"base":2}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6243,"base":2},"right_expr":{"type":"numeric_atoms","value":3717,"base":2}}}}},"used_operators":["tmPS8pqC7x","zVYPLywUTj","2DlMacCsIx","B5M0gjZbta","12rbrZMWeM","tifHPKVTfV","T2fj7uvVaJ","i8ToyICDmI","nCS4ZIUYfx","2td37pGCOC","9HNa5Wba9A"],"dependent_operators":["rJVOvQCfKK","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1912","layer":4},{"info":"number node, value=2262","layer":4},{"info":"compute binary expreesion, left_input=1912, right_input=2262, 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=3862","layer":4},{"info":"number node, value=3398","layer":4},{"info":"compute binary expreesion, left_input=3862, right_input=3398, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4039","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4039, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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=nan","layer":1},{"info":"number node, value=7691","layer":4},{"info":"number node, value=6777","layer":4},{"info":"compute binary expreesion, left_input=7691, right_input=6777, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6054","layer":4},{"info":"number node, value=3996","layer":4},{"info":"compute binary expreesion, left_input=6054, right_input=3996, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2058","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2058, 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=6243","layer":4},{"info":"number node, value=3717","layer":4},{"info":"compute binary expreesion, left_input=6243, right_input=3717, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=23205231","layer":3},{"info":"compute unary expreesion, input=23205231, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=23205231","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=23205231, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=23205231","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=23205231, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11101111000↬≮⫘↔100011010110⩨≮⫘↔111100010110⋳⪒≮⫘↔110101000110)⊪)⨪↰⇹((≮⫘↔1111000001011∲⫓≮⫘↔1101001111001)⋓(≮⫘↔1011110100110⨳⩥⨓≮⫘↔111110011100)⇼⇔∾(⩦⩻⨪(≮⫘↔1100001100011*≮⫘↔111010000101)))=NaN","reverse_text":"NaN=((≮⫘↔11101111000↬≮⫘↔100011010110⩨≮⫘↔111100010110⋳⪒≮⫘↔110101000110)⊪)⨪↰⇹((≮⫘↔1111000001011∲⫓≮⫘↔1101001111001)⋓(≮⫘↔1011110100110⨳⩥⨓≮⫘↔111110011100)⇼⇔∾(⩦⩻⨪(≮⫘↔1100001100011*≮⫘↔111010000101)))","cot":[{"info":"≮⫘↔11101111000↬≮⫘↔100011010110=NaN","layer":3},{"info":"≮⫘↔111100010110⋳⪒≮⫘↔110101000110=≮⫘↔111111000111","layer":3},{"info":"NaN⩨≮⫘↔111111000111=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"≮⫘↔1111000001011∲⫓≮⫘↔1101001111001=≮⫘↔0","layer":3},{"info":"≮⫘↔1011110100110⨳⩥⨓≮⫘↔111110011100=≮⫘↔-100000001010","layer":3},{"info":"≮⫘↔0⋓≮⫘↔-100000001010=≮⫘↔0","layer":2},{"info":"≮⫘↔1100001100011*≮⫘↔111010000101=≮⫘↔1011000100001010101101111","layer":3},{"info":"⩦⩻⨪≮⫘↔1011000100001010101101111=≮⫘↔1011000100001010101101111","layer":2},{"info":"≮⫘↔0⇼⇔∾≮⫘↔1011000100001010101101111=≮⫘↔1011000100001010101101111","layer":1},{"info":"NaN⨪↰⇹≮⫘↔1011000100001010101101111=NaN","layer":0}]}
{"id":685,"expression_no_base_symbol":"⊄⩳↩((≤/($1063$-$2852$))↺($3100$⊉≛↸$2082$)⪛($8527$∑⇟⊟$1390$))","expression":"⊄⩳↩((≤/(≮⫘↔10000100111-≮⫘↔101100100100))↺(≮⫘↔110000011100⊉≛↸≮⫘↔100000100010)⪛(≮⫘↔10000101001111∑⇟⊟≮⫘↔10101101110))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":14,"operation_count":7,"complexity_ratio":2.0,"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":1063,"base":2},"right_expr":{"type":"numeric_atoms","value":2852,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3100,"base":2},"right_expr":{"type":"numeric_atoms","value":2082,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":8527,"base":2},"right_expr":{"type":"numeric_atoms","value":1390,"base":2}}}}},"used_operators":["8w2t5hMYqp","7j4O788W3g","eLAdDNolq6","rysDP5nf3Z","uFcxV4UQCh","DZ8iAZOCBD","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1063","layer":4},{"info":"number node, value=2852","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=2852, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1789","layer":3},{"info":"compute unary expreesion, input=-1789, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=2273","layer":2},{"info":"number node, value=3100","layer":4},{"info":"number node, value=2082","layer":4},{"info":"compute binary expreesion, left_input=3100, right_input=2082, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6200","layer":3},{"info":"number node, value=8527","layer":4},{"info":"number node, value=1390","layer":4},{"info":"compute binary expreesion, left_input=8527, right_input=1390, 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=6200, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2273, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⊄⩳↩((≤/(≮⫘↔10000100111-≮⫘↔101100100100))↺(≮⫘↔110000011100⊉≛↸≮⫘↔100000100010)⪛(≮⫘↔10000101001111∑⇟⊟≮⫘↔10101101110))=NaN","reverse_text":"NaN=⊄⩳↩((≤/(≮⫘↔10000100111-≮⫘↔101100100100))↺(≮⫘↔110000011100⊉≛↸≮⫘↔100000100010)⪛(≮⫘↔10000101001111∑⇟⊟≮⫘↔10101101110))","cot":[{"info":"≮⫘↔10000100111-≮⫘↔101100100100=≮⫘↔-11011111101","layer":3},{"info":"≤/≮⫘↔-11011111101=≮⫘↔100011100001","layer":2},{"info":"≮⫘↔110000011100⊉≛↸≮⫘↔100000100010=≮⫘↔1100000111000","layer":3},{"info":"≮⫘↔10000101001111∑⇟⊟≮⫘↔10101101110=NaN","layer":3},{"info":"≮⫘↔1100000111000⪛NaN=NaN","layer":2},{"info":"≮⫘↔100011100001↺NaN=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":686,"expression_no_base_symbol":"(↽≂($3061$-$3225$))⨟⋌⩍($3078$⨪↰⇹$1345$≭($2266$⨵⪆$1510$))≧⫂∧(⫛⫱⨽($4516$⨎$1388$))⊴(($1200$⨎$5800$)⪛$1483$⊴$5559$)","expression":"(↽≂(≮⫘↔101111110101-≮⫘↔110010011001))⨟⋌⩍(≮⫘↔110000000110⨪↰⇹≮⫘↔10101000001≭(≮⫘↔100011011010⨵⪆≮⫘↔10111100110))≧⫂∧(⫛⫱⨽(≮⫘↔1000110100100⨎≮⫘↔10101101100))⊴((≮⫘↔10010110000⨎≮⫘↔1011010101000)⪛≮⫘↔10111001011⊴≮⫘↔1010110110111)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10086,"operation_count":13,"complexity_ratio":775.8461538461538,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3061,"base":2},"right_expr":{"type":"numeric_atoms","value":3225,"base":2}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3078,"base":2},"right_expr":{"type":"numeric_atoms","value":1345,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2266,"base":2},"right_expr":{"type":"numeric_atoms","value":1510,"base":2}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4516,"base":2},"right_expr":{"type":"numeric_atoms","value":1388,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1200,"base":2},"right_expr":{"type":"numeric_atoms","value":5800,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1483,"base":2},"right_expr":{"type":"numeric_atoms","value":5559,"base":2}}}}},"used_operators":["Ph9nP6C5qx","rGHVDoGpnC","u6S6b8DprG","rysDP5nf3Z","rxpJgHHUmx","tmPS8pqC7x","2DQ55sFlQl","Nsiff2A1zJ","DlLNRPXxWL","rJVOvQCfKK","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=3061","layer":4},{"info":"number node, value=3225","layer":4},{"info":"compute binary expreesion, left_input=3061, right_input=3225, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-164","layer":3},{"info":"compute unary expreesion, input=-164, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=328","layer":2},{"info":"number node, value=3078","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=3078, right_input=1345, 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=3078","layer":3},{"info":"number node, value=2266","layer":4},{"info":"number node, value=1510","layer":4},{"info":"compute binary expreesion, left_input=2266, right_input=1510, 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=3078, right_input=160, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=328, 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":"number node, value=4516","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=4516, right_input=1388, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1388","layer":3},{"info":"compute unary expreesion, input=1388, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1200","layer":4},{"info":"number node, value=5800","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=5800, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5800","layer":3},{"info":"number node, value=1483","layer":4},{"info":"number node, value=5559","layer":4},{"info":"compute binary expreesion, left_input=1483, right_input=5559, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5800, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↽≂(≮⫘↔101111110101-≮⫘↔110010011001))⨟⋌⩍(≮⫘↔110000000110⨪↰⇹≮⫘↔10101000001≭(≮⫘↔100011011010⨵⪆≮⫘↔10111100110))≧⫂∧(⫛⫱⨽(≮⫘↔1000110100100⨎≮⫘↔10101101100))⊴((≮⫘↔10010110000⨎≮⫘↔1011010101000)⪛≮⫘↔10111001011⊴≮⫘↔1010110110111)=NaN","reverse_text":"NaN=(↽≂(≮⫘↔101111110101-≮⫘↔110010011001))⨟⋌⩍(≮⫘↔110000000110⨪↰⇹≮⫘↔10101000001≭(≮⫘↔100011011010⨵⪆≮⫘↔10111100110))≧⫂∧(⫛⫱⨽(≮⫘↔1000110100100⨎≮⫘↔10101101100))⊴((≮⫘↔10010110000⨎≮⫘↔1011010101000)⪛≮⫘↔10111001011⊴≮⫘↔1010110110111)","cot":[{"info":"≮⫘↔101111110101-≮⫘↔110010011001=≮⫘↔-10100100","layer":3},{"info":"↽≂≮⫘↔-10100100=≮⫘↔101001000","layer":2},{"info":"≮⫘↔110000000110⨪↰⇹≮⫘↔10101000001=≮⫘↔110000000110","layer":3},{"info":"≮⫘↔100011011010⨵⪆≮⫘↔10111100110=≮⫘↔10100000","layer":3},{"info":"≮⫘↔110000000110≭≮⫘↔10100000=NaN","layer":2},{"info":"≮⫘↔101001000⨟⋌⩍NaN=NaN","layer":1},{"info":"≮⫘↔1000110100100⨎≮⫘↔10101101100=≮⫘↔10101101100","layer":3},{"info":"⫛⫱⨽≮⫘↔10101101100=≮⫘↔0","layer":2},{"info":"≮⫘↔10010110000⨎≮⫘↔1011010101000=≮⫘↔1011010101000","layer":3},{"info":"≮⫘↔10111001011⊴≮⫘↔1010110110111=NaN","layer":3},{"info":"≮⫘↔1011010101000⪛NaN=NaN","layer":2},{"info":"≮⫘↔0⊴NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":687,"expression_no_base_symbol":"((($4808$⪨≂$6692$)⫥∨⫟($6309$↛⩡⫤))⨓(($3387$⊪)*($6350$⊦⊿)))⩠","expression":"(((≮⫘↔1001011001000⪨≂≮⫘↔1101000100100)⫥∨⫟(≮⫘↔1100010100101↛⩡⫤))⨓((≮⫘↔110100111011⊪)*(≮⫘↔1100011001110⊦⊿)))⩠","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":19285,"operation_count":8,"complexity_ratio":2410.625,"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":4808,"base":2},"right_expr":{"type":"numeric_atoms","value":6692,"base":2}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":6309,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3387,"base":2}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":6350,"base":2}}}}},"used_operators":["sJAwomhLZr","3ViojmjbAp","KYD54nUTWz","sdazOOVcIp","FU0Cs4j7VP","9HNa5Wba9A","zVYPLywUTj","14qkJME0vr"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4808","layer":4},{"info":"number node, value=6692","layer":4},{"info":"compute binary expreesion, left_input=4808, right_input=6692, 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=-3666","layer":3},{"info":"number node, value=6309","layer":4},{"info":"compute unary expreesion, input=6309, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-948748","layer":3},{"info":"compute binary expreesion, left_input=-3666, right_input=-948748, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3387","layer":4},{"info":"compute unary expreesion, input=3387, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=6350","layer":4},{"info":"compute unary expreesion, input=6350, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-19129","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-19129, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"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":1},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1001011001000⪨≂≮⫘↔1101000100100)⫥∨⫟(≮⫘↔1100010100101↛⩡⫤))⨓((≮⫘↔110100111011⊪)*(≮⫘↔1100011001110⊦⊿)))⩠=NaN","reverse_text":"NaN=(((≮⫘↔1001011001000⪨≂≮⫘↔1101000100100)⫥∨⫟(≮⫘↔1100010100101↛⩡⫤))⨓((≮⫘↔110100111011⊪)*(≮⫘↔1100011001110⊦⊿)))⩠","cot":[{"info":"≮⫘↔1001011001000⪨≂≮⫘↔1101000100100=≮⫘↔-111001010010","layer":3},{"info":"≮⫘↔1100010100101↛⩡⫤=≮⫘↔-11100111101000001100","layer":3},{"info":"≮⫘↔-111001010010⫥∨⫟≮⫘↔-11100111101000001100=NaN","layer":2},{"info":"≮⫘↔110100111011⊪=≮⫘↔0","layer":3},{"info":"≮⫘↔1100011001110⊦⊿=≮⫘↔-100101010111001","layer":3},{"info":"≮⫘↔0*≮⫘↔-100101010111001=≮⫘↔0","layer":2},{"info":"NaN⨓≮⫘↔0=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
{"id":688,"expression_no_base_symbol":"-(↣≠⋷(($3502$⊭↱$1337$)≭($1293$∸)))","expression":"-(↣≠⋷((≮⫘↔110110101110⊭↱≮⫘↔10100111001)≭(≮⫘↔10100001101∸)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":188,"operation_count":5,"complexity_ratio":37.6,"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":3502,"base":2},"right_expr":{"type":"numeric_atoms","value":1337,"base":2}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1293,"base":2}}}}},"used_operators":["t8gj7n24qd","Asc51vEJeQ","rxpJgHHUmx","COABgblf1C","o20kRiQErp"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3502","layer":4},{"info":"number node, value=1337","layer":4},{"info":"compute binary expreesion, left_input=3502, right_input=1337, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4325","layer":3},{"info":"number node, value=1293","layer":4},{"info":"compute unary expreesion, input=1293, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-4325, right_input=177, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"-(↣≠⋷((≮⫘↔110110101110⊭↱≮⫘↔10100111001)≭(≮⫘↔10100001101∸)))=NaN","reverse_text":"NaN=-(↣≠⋷((≮⫘↔110110101110⊭↱≮⫘↔10100111001)≭(≮⫘↔10100001101∸)))","cot":[{"info":"≮⫘↔110110101110⊭↱≮⫘↔10100111001=≮⫘↔-1000011100101","layer":3},{"info":"≮⫘↔10100001101∸=≮⫘↔10110001","layer":3},{"info":"≮⫘↔-1000011100101≭≮⫘↔10110001=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":689,"expression_no_base_symbol":"(($1487$-$1732$⨵⪆$2701$⊭↱$1650$)↺((⫛⫱⨽$2996$)⪄$7659$⫸⊐$1417$))+⇶⊼((↩$1013$≎⊠⪸$1465$)⫸⊐(≉$5142$)⨰($1660$≧⫂∧$4947$))","expression":"((≮⫘↔10111001111-≮⫘↔11011000100⨵⪆≮⫘↔101010001101⊭↱≮⫘↔11001110010)↺((⫛⫱⨽≮⫘↔101110110100)⪄≮⫘↔1110111101011⫸⊐≮⫘↔10110001001))+⇶⊼((↩≮⫘↔1111110101≎⊠⪸≮⫘↔10110111001)⫸⊐(≉≮⫘↔1010000010110)⨰(≮⫘↔11001111100≧⫂∧≮⫘↔1001101010011))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1780,"operation_count":14,"complexity_ratio":127.14285714285714,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1487,"base":2},"right_expr":{"type":"numeric_atoms","value":1732,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2701,"base":2},"right_expr":{"type":"numeric_atoms","value":1650,"base":2}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2996,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7659,"base":2},"right_expr":{"type":"numeric_atoms","value":1417,"base":2}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1013,"base":2},"right_expr":{"type":"numeric_atoms","value":1465,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5142,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1660,"base":2},"right_expr":{"type":"numeric_atoms","value":4947,"base":2}}}}},"used_operators":["TpPTUOHfaN","7j4O788W3g","2DQ55sFlQl","rysDP5nf3Z","COABgblf1C","SUmda5xLS4","DlLNRPXxWL","mqXw5SEYmG","jLgFTUHLKL","bJkvcejdHO","eewbuw0ToL","e1ybzncUwg","Ph9nP6C5qx"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1487","layer":4},{"info":"number node, value=1732","layer":4},{"info":"compute binary expreesion, left_input=1487, right_input=1732, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-245","layer":3},{"info":"number node, value=2701","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=2701, right_input=1650, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2097","layer":3},{"info":"compute binary expreesion, left_input=-245, right_input=-2097, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2996","layer":4},{"info":"compute unary expreesion, input=2996, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=7659","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=7659, right_input=1417, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5543","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5543, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-18261","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-18261, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-18261","layer":1},{"info":"number node, value=1013","layer":4},{"info":"number node, value=1465","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=1465, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=261894","layer":3},{"info":"compute unary expreesion, input=261894, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-2092372","layer":2},{"info":"number node, value=5142","layer":4},{"info":"compute unary expreesion, input=5142, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5673","layer":3},{"info":"number node, value=1660","layer":4},{"info":"number node, value=4947","layer":4},{"info":"compute binary expreesion, left_input=1660, right_input=4947, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4474","layer":3},{"info":"compute binary expreesion, left_input=5673, right_input=4474, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1209","layer":2},{"info":"compute binary expreesion, left_input=-2092372, right_input=1209, 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=-18261, right_input=968, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10111001111-≮⫘↔11011000100⨵⪆≮⫘↔101010001101⊭↱≮⫘↔11001110010)↺((⫛⫱⨽≮⫘↔101110110100)⪄≮⫘↔1110111101011⫸⊐≮⫘↔10110001001))+⇶⊼((↩≮⫘↔1111110101≎⊠⪸≮⫘↔10110111001)⫸⊐(≉≮⫘↔1010000010110)⨰(≮⫘↔11001111100≧⫂∧≮⫘↔1001101010011))=NaN","reverse_text":"NaN=((≮⫘↔10111001111-≮⫘↔11011000100⨵⪆≮⫘↔101010001101⊭↱≮⫘↔11001110010)↺((⫛⫱⨽≮⫘↔101110110100)⪄≮⫘↔1110111101011⫸⊐≮⫘↔10110001001))+⇶⊼((↩≮⫘↔1111110101≎⊠⪸≮⫘↔10110111001)⫸⊐(≉≮⫘↔1010000010110)⨰(≮⫘↔11001111100≧⫂∧≮⫘↔1001101010011))","cot":[{"info":"≮⫘↔10111001111-≮⫘↔11011000100=≮⫘↔-11110101","layer":3},{"info":"≮⫘↔101010001101⊭↱≮⫘↔11001110010=≮⫘↔-100000110001","layer":3},{"info":"≮⫘↔-11110101⨵⪆≮⫘↔-100000110001=≮⫘↔10100000","layer":2},{"info":"⫛⫱⨽≮⫘↔101110110100=≮⫘↔0","layer":3},{"info":"≮⫘↔1110111101011⫸⊐≮⫘↔10110001001=≮⫘↔1010110100111","layer":3},{"info":"≮⫘↔0⪄≮⫘↔1010110100111=≮⫘↔-100011101010101","layer":2},{"info":"≮⫘↔10100000↺≮⫘↔-100011101010101=≮⫘↔-100011101010101","layer":1},{"info":"≮⫘↔1111110101≎⊠⪸≮⫘↔10110111001=≮⫘↔111111111100000110","layer":3},{"info":"↩≮⫘↔111111111100000110=≮⫘↔-111111110110101010100","layer":2},{"info":"≉≮⫘↔1010000010110=≮⫘↔1011000101001","layer":3},{"info":"≮⫘↔11001111100≧⫂∧≮⫘↔1001101010011=≮⫘↔1000101111010","layer":3},{"info":"≮⫘↔1011000101001⨰≮⫘↔1000101111010=≮⫘↔10010111001","layer":2},{"info":"≮⫘↔-111111110110101010100⫸⊐≮⫘↔10010111001=≮⫘↔1111001000","layer":1},{"info":"≮⫘↔-100011101010101+⇶⊼≮⫘↔1111001000=NaN","layer":0}]}
{"id":690,"expression_no_base_symbol":"(⊄⩳↩$7108$)↙($1847$*$3429$)⫸⊐($2092$⨐⩸⫘$3101$)⊴(↯⪼$1659$)⊭↱($1185$⪢$5926$+$1707$⪒$4215$)⋳⪒(↯⪼($1288$⋷$5543$))","expression":"(⊄⩳↩≮⫘↔1101111000100)↙(≮⫘↔11100110111*≮⫘↔110101100101)⫸⊐(≮⫘↔100000101100⨐⩸⫘≮⫘↔110000011101)⊴(↯⪼≮⫘↔11001111011)⊭↱(≮⫘↔10010100001⪢≮⫘↔1011100100110+≮⫘↔11010101011⪒≮⫘↔1000001110111)⋳⪒(↯⪼(≮⫘↔10100001000⋷≮⫘↔1010110100111))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7891,"operation_count":14,"complexity_ratio":563.6428571428571,"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":7108,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1847,"base":2},"right_expr":{"type":"numeric_atoms","value":3429,"base":2}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2092,"base":2},"right_expr":{"type":"numeric_atoms","value":3101,"base":2}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1659,"base":2}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1185,"base":2},"right_expr":{"type":"numeric_atoms","value":5926,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1707,"base":2},"right_expr":{"type":"numeric_atoms","value":4215,"base":2}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1288,"base":2},"right_expr":{"type":"numeric_atoms","value":5543,"base":2}}}}},"used_operators":["COABgblf1C","mqXw5SEYmG","yyfyN0ffXY","8w2t5hMYqp","9HNa5Wba9A","Nsiff2A1zJ","fu6greOZ01","8jW3W4yZS5","12rbrZMWeM","W4YGzv6Whe","dWAJyo7jo9","f6k1SAg4EE","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","3ViojmjbAp","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7108","layer":4},{"info":"compute unary expreesion, input=7108, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-21324","layer":3},{"info":"number node, value=1847","layer":4},{"info":"number node, value=3429","layer":4},{"info":"compute binary expreesion, left_input=1847, right_input=3429, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6333363","layer":3},{"info":"compute binary expreesion, left_input=-21324, right_input=6333363, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-21324","layer":2},{"info":"number node, value=2092","layer":4},{"info":"number node, value=3101","layer":4},{"info":"compute binary expreesion, left_input=2092, right_input=3101, 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=1659","layer":4},{"info":"compute unary expreesion, input=1659, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21324, 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=1185","layer":4},{"info":"number node, value=5926","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=5926, 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=1707","layer":4},{"info":"number node, value=4215","layer":4},{"info":"compute binary expreesion, left_input=1707, right_input=4215, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5922","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5922, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1288","layer":4},{"info":"number node, value=5543","layer":4},{"info":"compute binary expreesion, left_input=1288, right_input=5543, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9798","layer":3},{"info":"compute unary expreesion, input=9798, 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊄⩳↩≮⫘↔1101111000100)↙(≮⫘↔11100110111*≮⫘↔110101100101)⫸⊐(≮⫘↔100000101100⨐⩸⫘≮⫘↔110000011101)⊴(↯⪼≮⫘↔11001111011)⊭↱(≮⫘↔10010100001⪢≮⫘↔1011100100110+≮⫘↔11010101011⪒≮⫘↔1000001110111)⋳⪒(↯⪼(≮⫘↔10100001000⋷≮⫘↔1010110100111))=NaN","reverse_text":"NaN=(⊄⩳↩≮⫘↔1101111000100)↙(≮⫘↔11100110111*≮⫘↔110101100101)⫸⊐(≮⫘↔100000101100⨐⩸⫘≮⫘↔110000011101)⊴(↯⪼≮⫘↔11001111011)⊭↱(≮⫘↔10010100001⪢≮⫘↔1011100100110+≮⫘↔11010101011⪒≮⫘↔1000001110111)⋳⪒(↯⪼(≮⫘↔10100001000⋷≮⫘↔1010110100111))","cot":[{"info":"⊄⩳↩≮⫘↔1101111000100=≮⫘↔-101001101001100","layer":3},{"info":"≮⫘↔11100110111*≮⫘↔110101100101=≮⫘↔11000001010001110110011","layer":3},{"info":"≮⫘↔-101001101001100↙≮⫘↔11000001010001110110011=≮⫘↔-101001101001100","layer":2},{"info":"≮⫘↔100000101100⨐⩸⫘≮⫘↔110000011101=NaN","layer":3},{"info":"↯⪼≮⫘↔11001111011=≮⫘↔-10101","layer":3},{"info":"NaN⊴≮⫘↔-10101=NaN","layer":2},{"info":"≮⫘↔-101001101001100⫸⊐NaN=≮⫘↔1111001000","layer":1},{"info":"≮⫘↔10010100001⪢≮⫘↔1011100100110=NaN","layer":3},{"info":"≮⫘↔11010101011⪒≮⫘↔1000001110111=≮⫘↔-1011100100010","layer":3},{"info":"NaN+≮⫘↔-1011100100010=NaN","layer":2},{"info":"≮⫘↔10100001000⋷≮⫘↔1010110100111=≮⫘↔10011001000110","layer":3},{"info":"↯⪼≮⫘↔10011001000110=≮⫘↔-10101","layer":2},{"info":"NaN⋳⪒≮⫘↔-10101=NaN","layer":1},{"info":"≮⫘↔1111001000⊭↱NaN=NaN","layer":0}]}
{"id":691,"expression_no_base_symbol":"(↩$1961$∼$7720$↬($4735$⩷∴$1368$))⊉≛↸(($4363$-$2948$⋷$3737$∀⇚≩$2737$)*$4509$≹⇙⪍$2347$⋳⪒($5645$↺$1859$))","expression":"(↩≮⫘↔11110101001∼≮⫘↔1111000101000↬(≮⫘↔1001001111111⩷∴≮⫘↔10101011000))⊉≛↸((≮⫘↔1000100001011-≮⫘↔101110000100⋷≮⫘↔111010011001∀⇚≩≮⫘↔101010110001)*≮⫘↔1000110011101≹⇙⪍≮⫘↔100100101011⋳⪒(≮⫘↔1011000001101↺≮⫘↔11101000011))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":26242,"operation_count":12,"complexity_ratio":2186.8333333333335,"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":1961,"base":2},"right_expr":{"type":"numeric_atoms","value":7720,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4735,"base":2},"right_expr":{"type":"numeric_atoms","value":1368,"base":2}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4363,"base":2},"right_expr":{"type":"numeric_atoms","value":2948,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3737,"base":2},"right_expr":{"type":"numeric_atoms","value":2737,"base":2}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4509,"base":2},"right_expr":{"type":"numeric_atoms","value":2347,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5645,"base":2},"right_expr":{"type":"numeric_atoms","value":1859,"base":2}}}}},"used_operators":["DZ8iAZOCBD","jLgFTUHLKL","B5M0gjZbta","DyGG3AbaNP","9FxExcQeMw","9HNa5Wba9A","23Mk6UjR3U","rysDP5nf3Z","LRNGc0VcxI","12rbrZMWeM","AHs5Up7iyr","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1961","layer":4},{"info":"number node, value=7720","layer":4},{"info":"compute binary expreesion, left_input=1961, right_input=7720, 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=4735","layer":4},{"info":"number node, value=1368","layer":4},{"info":"compute binary expreesion, left_input=4735, right_input=1368, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6702","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6702, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"number node, value=4363","layer":4},{"info":"number node, value=2948","layer":4},{"info":"compute binary expreesion, left_input=4363, right_input=2948, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1415","layer":3},{"info":"number node, value=3737","layer":4},{"info":"number node, value=2737","layer":4},{"info":"compute binary expreesion, left_input=3737, right_input=2737, 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=1415, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=4509","layer":4},{"info":"number node, value=2347","layer":4},{"info":"compute binary expreesion, left_input=4509, right_input=2347, 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=5645","layer":4},{"info":"number node, value=1859","layer":4},{"info":"compute binary expreesion, left_input=5645, right_input=1859, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1859","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1859, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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":2,"result_base":2,"text":"(↩≮⫘↔11110101001∼≮⫘↔1111000101000↬(≮⫘↔1001001111111⩷∴≮⫘↔10101011000))⊉≛↸((≮⫘↔1000100001011-≮⫘↔101110000100⋷≮⫘↔111010011001∀⇚≩≮⫘↔101010110001)*≮⫘↔1000110011101≹⇙⪍≮⫘↔100100101011⋳⪒(≮⫘↔1011000001101↺≮⫘↔11101000011))=NaN","reverse_text":"NaN=(↩≮⫘↔11110101001∼≮⫘↔1111000101000↬(≮⫘↔1001001111111⩷∴≮⫘↔10101011000))⊉≛↸((≮⫘↔1000100001011-≮⫘↔101110000100⋷≮⫘↔111010011001∀⇚≩≮⫘↔101010110001)*≮⫘↔1000110011101≹⇙⪍≮⫘↔100100101011⋳⪒(≮⫘↔1011000001101↺≮⫘↔11101000011))","cot":[{"info":"≮⫘↔11110101001∼≮⫘↔1111000101000=NaN","layer":3},{"info":"≮⫘↔1001001111111⩷∴≮⫘↔10101011000=≮⫘↔1101000101110","layer":3},{"info":"NaN↬≮⫘↔1101000101110=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"≮⫘↔1000100001011-≮⫘↔101110000100=≮⫘↔10110000111","layer":3},{"info":"≮⫘↔111010011001∀⇚≩≮⫘↔101010110001=NaN","layer":3},{"info":"≮⫘↔10110000111⋷NaN=NaN","layer":2},{"info":"≮⫘↔1000110011101≹⇙⪍≮⫘↔100100101011=NaN","layer":3},{"info":"≮⫘↔1011000001101↺≮⫘↔11101000011=≮⫘↔11101000011","layer":3},{"info":"NaN⋳⪒≮⫘↔11101000011=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":692,"expression_no_base_symbol":"(($1589$⪘⫢$1924$≦≮≮)↺(⨈⫕$4232$)⨰$6278$⨓$6673$)⨎(($1726$⪨≂$2982$)⨟⋌⩍(≉$1437$)≋⫹)","expression":"((≮⫘↔11000110101⪘⫢≮⫘↔11110000100≦≮≮)↺(⨈⫕≮⫘↔1000010001000)⨰≮⫘↔1100010000110⨓≮⫘↔1101000010001)⨎((≮⫘↔11010111110⪨≂≮⫘↔101110100110)⨟⋌⩍(≉≮⫘↔10110011101)≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7103,"operation_count":11,"complexity_ratio":645.7272727272727,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1589,"base":2},"right_expr":{"type":"numeric_atoms","value":1924,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4232,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6278,"base":2},"right_expr":{"type":"numeric_atoms","value":6673,"base":2}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1726,"base":2},"right_expr":{"type":"numeric_atoms","value":2982,"base":2}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1437,"base":2}}}}},"used_operators":["rJVOvQCfKK","7j4O788W3g","D4vGDi5EA2","oacrs7FA3X","eewbuw0ToL","megm06wKyl","3ViojmjbAp","N41Kp7NANJ","rGHVDoGpnC","sdazOOVcIp","e1ybzncUwg"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1589","layer":4},{"info":"number node, value=1924","layer":4},{"info":"compute binary expreesion, left_input=1589, right_input=1924, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3054","layer":3},{"info":"compute unary expreesion, input=3054, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-9162","layer":2},{"info":"number node, value=4232","layer":4},{"info":"compute unary expreesion, input=4232, 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=6278","layer":4},{"info":"number node, value=6673","layer":4},{"info":"compute binary expreesion, left_input=6278, right_input=6673, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6676","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-6676, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=6665","layer":2},{"info":"compute binary expreesion, left_input=-9162, right_input=6665, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6665","layer":1},{"info":"number node, value=1726","layer":4},{"info":"number node, value=2982","layer":4},{"info":"compute binary expreesion, left_input=1726, right_input=2982, 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=-2410","layer":3},{"info":"number node, value=1437","layer":4},{"info":"compute unary expreesion, input=1437, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1968","layer":3},{"info":"compute binary expreesion, left_input=-2410, right_input=1968, 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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6665, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11000110101⪘⫢≮⫘↔11110000100≦≮≮)↺(⨈⫕≮⫘↔1000010001000)⨰≮⫘↔1100010000110⨓≮⫘↔1101000010001)⨎((≮⫘↔11010111110⪨≂≮⫘↔101110100110)⨟⋌⩍(≉≮⫘↔10110011101)≋⫹)=NaN","reverse_text":"NaN=((≮⫘↔11000110101⪘⫢≮⫘↔11110000100≦≮≮)↺(⨈⫕≮⫘↔1000010001000)⨰≮⫘↔1100010000110⨓≮⫘↔1101000010001)⨎((≮⫘↔11010111110⪨≂≮⫘↔101110100110)⨟⋌⩍(≉≮⫘↔10110011101)≋⫹)","cot":[{"info":"≮⫘↔11000110101⪘⫢≮⫘↔11110000100=≮⫘↔101111101110","layer":3},{"info":"≮⫘↔101111101110≦≮≮=≮⫘↔-10001111001010","layer":2},{"info":"⨈⫕≮⫘↔1000010001000=≮⫘↔-10101","layer":3},{"info":"≮⫘↔1100010000110⨓≮⫘↔1101000010001=≮⫘↔-1101000010100","layer":3},{"info":"≮⫘↔-10101⨰≮⫘↔-1101000010100=≮⫘↔1101000001001","layer":2},{"info":"≮⫘↔-10001111001010↺≮⫘↔1101000001001=≮⫘↔1101000001001","layer":1},{"info":"≮⫘↔11010111110⪨≂≮⫘↔101110100110=≮⫘↔-100101101010","layer":3},{"info":"≉≮⫘↔10110011101=≮⫘↔11110110000","layer":3},{"info":"≮⫘↔-100101101010⨟⋌⩍≮⫘↔11110110000=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"≮⫘↔1101000001001⨎NaN=NaN","layer":0}]}
{"id":693,"expression_no_base_symbol":"(($7517$⪛$5516$⇼⇔∾$1482$⪛$3441$)⊦⊿)↬(($3100$+$3226$)↺$1148$⪛$1649$)≹⇙⪍(↔($2328$∑⇟⊟$2102$))","expression":"((≮⫘↔1110101011101⪛≮⫘↔1010110001100⇼⇔∾≮⫘↔10111001010⪛≮⫘↔110101110001)⊦⊿)↬((≮⫘↔110000011100+≮⫘↔110010011010)↺≮⫘↔10001111100⪛≮⫘↔11001110001)≹⇙⪍(↔(≮⫘↔100100011000∑⇟⊟≮⫘↔100000110110))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":18624,"operation_count":11,"complexity_ratio":1693.090909090909,"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":7517,"base":2},"right_expr":{"type":"numeric_atoms","value":5516,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1482,"base":2},"right_expr":{"type":"numeric_atoms","value":3441,"base":2}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3100,"base":2},"right_expr":{"type":"numeric_atoms","value":3226,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1148,"base":2},"right_expr":{"type":"numeric_atoms","value":1649,"base":2}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2328,"base":2},"right_expr":{"type":"numeric_atoms","value":2102,"base":2}}}}},"used_operators":["B5M0gjZbta","14qkJME0vr","tifHPKVTfV","uFcxV4UQCh","AHs5Up7iyr","7j4O788W3g","W4YGzv6Whe","ruOEQAzv1W","U7g4x0WXJJ"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7517","layer":4},{"info":"number node, value=5516","layer":4},{"info":"compute binary expreesion, left_input=7517, right_input=5516, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2001","layer":3},{"info":"number node, value=1482","layer":4},{"info":"number node, value=3441","layer":4},{"info":"compute binary expreesion, left_input=1482, right_input=3441, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1482","layer":3},{"info":"compute binary expreesion, left_input=2001, right_input=1482, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-519","layer":2},{"info":"compute unary expreesion, input=-519, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=1478","layer":1},{"info":"number node, value=3100","layer":4},{"info":"number node, value=3226","layer":4},{"info":"compute binary expreesion, left_input=3100, right_input=3226, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6326","layer":3},{"info":"number node, value=1148","layer":4},{"info":"number node, value=1649","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=1649, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1148","layer":3},{"info":"compute binary expreesion, left_input=6326, right_input=1148, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1148","layer":2},{"info":"number node, value=2328","layer":4},{"info":"number node, value=2102","layer":4},{"info":"compute binary expreesion, left_input=2328, right_input=2102, 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 = 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=1148, right_input=-134, 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=1478, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1110101011101⪛≮⫘↔1010110001100⇼⇔∾≮⫘↔10111001010⪛≮⫘↔110101110001)⊦⊿)↬((≮⫘↔110000011100+≮⫘↔110010011010)↺≮⫘↔10001111100⪛≮⫘↔11001110001)≹⇙⪍(↔(≮⫘↔100100011000∑⇟⊟≮⫘↔100000110110))=NaN","reverse_text":"NaN=((≮⫘↔1110101011101⪛≮⫘↔1010110001100⇼⇔∾≮⫘↔10111001010⪛≮⫘↔110101110001)⊦⊿)↬((≮⫘↔110000011100+≮⫘↔110010011010)↺≮⫘↔10001111100⪛≮⫘↔11001110001)≹⇙⪍(↔(≮⫘↔100100011000∑⇟⊟≮⫘↔100000110110))","cot":[{"info":"≮⫘↔1110101011101⪛≮⫘↔1010110001100=≮⫘↔11111010001","layer":3},{"info":"≮⫘↔10111001010⪛≮⫘↔110101110001=≮⫘↔10111001010","layer":3},{"info":"≮⫘↔11111010001⇼⇔∾≮⫘↔10111001010=≮⫘↔-1000000111","layer":2},{"info":"≮⫘↔-1000000111⊦⊿=≮⫘↔10111000110","layer":1},{"info":"≮⫘↔110000011100+≮⫘↔110010011010=≮⫘↔1100010110110","layer":3},{"info":"≮⫘↔10001111100⪛≮⫘↔11001110001=≮⫘↔10001111100","layer":3},{"info":"≮⫘↔1100010110110↺≮⫘↔10001111100=≮⫘↔10001111100","layer":2},{"info":"≮⫘↔100100011000∑⇟⊟≮⫘↔100000110110=NaN","layer":3},{"info":"↔NaN=≮⫘↔-10000110","layer":2},{"info":"≮⫘↔10001111100≹⇙⪍≮⫘↔-10000110=NaN","layer":1},{"info":"≮⫘↔10111000110↬NaN=NaN","layer":0}]}
{"id":694,"expression_no_base_symbol":"((($2081$⨵⪆$2671$)⪒($1907$⫡⨏$8795$))⪘⫢($5989$+⇶⊼$3235$)⪘⫢($1061$⨳⩥⨓$2607$))≹⇙⪍(≦∁$1624$⩷∴$5217$⋓$1797$⪛$1219$)","expression":"(((≮⫘↔100000100001⨵⪆≮⫘↔101001101111)⪒(≮⫘↔11101110011⫡⨏≮⫘↔10001001011011))⪘⫢(≮⫘↔1011101100101+⇶⊼≮⫘↔110010100011)⪘⫢(≮⫘↔10000100101⨳⩥⨓≮⫘↔101000101111))≹⇙⪍(≦∁≮⫘↔11001011000⩷∴≮⫘↔1010001100001⋓≮⫘↔11100000101⪛≮⫘↔10011000011)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":102483,"operation_count":12,"complexity_ratio":8540.25,"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":2081,"base":2},"right_expr":{"type":"numeric_atoms","value":2671,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1907,"base":2},"right_expr":{"type":"numeric_atoms","value":8795,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5989,"base":2},"right_expr":{"type":"numeric_atoms","value":3235,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1061,"base":2},"right_expr":{"type":"numeric_atoms","value":2607,"base":2}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1624,"base":2},"right_expr":{"type":"numeric_atoms","value":5217,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1797,"base":2},"right_expr":{"type":"numeric_atoms","value":1219,"base":2}}}}},"used_operators":["AHs5Up7iyr","oacrs7FA3X","f6k1SAg4EE","2DQ55sFlQl","QMFrweE19q","TpPTUOHfaN","nCS4ZIUYfx","9ICcGScMcE","T2fj7uvVaJ","9FxExcQeMw","uFcxV4UQCh"],"dependent_operators":["dWAJyo7jo9","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2081","layer":4},{"info":"number node, value=2671","layer":4},{"info":"compute binary expreesion, left_input=2081, right_input=2671, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1907","layer":4},{"info":"number node, value=8795","layer":4},{"info":"compute binary expreesion, left_input=1907, right_input=8795, 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=27908","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=27908, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-28068","layer":2},{"info":"number node, value=5989","layer":4},{"info":"number node, value=3235","layer":4},{"info":"compute binary expreesion, left_input=5989, right_input=3235, 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=1061","layer":4},{"info":"number node, value=2607","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=2607, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1546","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1546, 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":"compute binary expreesion, left_input=-28068, 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=1624","layer":4},{"info":"number node, value=5217","layer":4},{"info":"compute binary expreesion, left_input=1624, right_input=5217, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7218","layer":3},{"info":"number node, value=1797","layer":4},{"info":"number node, value=1219","layer":4},{"info":"compute binary expreesion, left_input=1797, right_input=1219, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=578","layer":3},{"info":"compute binary expreesion, left_input=-7218, right_input=578, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-320, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔100000100001⨵⪆≮⫘↔101001101111)⪒(≮⫘↔11101110011⫡⨏≮⫘↔10001001011011))⪘⫢(≮⫘↔1011101100101+⇶⊼≮⫘↔110010100011)⪘⫢(≮⫘↔10000100101⨳⩥⨓≮⫘↔101000101111))≹⇙⪍(≦∁≮⫘↔11001011000⩷∴≮⫘↔1010001100001⋓≮⫘↔11100000101⪛≮⫘↔10011000011)=NaN","reverse_text":"NaN=(((≮⫘↔100000100001⨵⪆≮⫘↔101001101111)⪒(≮⫘↔11101110011⫡⨏≮⫘↔10001001011011))⪘⫢(≮⫘↔1011101100101+⇶⊼≮⫘↔110010100011)⪘⫢(≮⫘↔10000100101⨳⩥⨓≮⫘↔101000101111))≹⇙⪍(≦∁≮⫘↔11001011000⩷∴≮⫘↔1010001100001⋓≮⫘↔11100000101⪛≮⫘↔10011000011)","cot":[{"info":"≮⫘↔100000100001⨵⪆≮⫘↔101001101111=≮⫘↔10100000","layer":3},{"info":"≮⫘↔11101110011⫡⨏≮⫘↔10001001011011=≮⫘↔110110100000100","layer":3},{"info":"≮⫘↔10100000⪒≮⫘↔110110100000100=≮⫘↔-110110110100100","layer":2},{"info":"≮⫘↔1011101100101+⇶⊼≮⫘↔110010100011=NaN","layer":3},{"info":"≮⫘↔10000100101⨳⩥⨓≮⫘↔101000101111=≮⫘↔11000001010","layer":3},{"info":"NaN⪘⫢≮⫘↔11000001010=NaN","layer":2},{"info":"≮⫘↔-110110110100100⪘⫢NaN=NaN","layer":1},{"info":"≮⫘↔11001011000⩷∴≮⫘↔1010001100001=≮⫘↔-1110000110010","layer":3},{"info":"≮⫘↔11100000101⪛≮⫘↔10011000011=≮⫘↔1001000010","layer":3},{"info":"≮⫘↔-1110000110010⋓≮⫘↔1001000010=≮⫘↔0","layer":2},{"info":"≦∁≮⫘↔0=≮⫘↔-101000000","layer":1},{"info":"NaN≹⇙⪍≮⫘↔-101000000=NaN","layer":0}]}
{"id":695,"expression_no_base_symbol":"(⨞⊢($1228$/$2118$)⪮%⊝(⊙↵-$2607$))⩷∴($1550$⨽$1485$)↬($3989$⨳⩥⨓$1281$)∑⇟⊟($3970$⩚⊴⇥$4343$⨐⩸⫘($4212$⊭↱$1486$))","expression":"(⨞⊢(≮⫘↔10011001100/≮⫘↔100001000110)⪮%⊝(⊙↵-≮⫘↔101000101111))⩷∴(≮⫘↔11000001110⨽≮⫘↔10111001101)↬(≮⫘↔111110010101⨳⩥⨓≮⫘↔10100000001)∑⇟⊟(≮⫘↔111110000010⩚⊴⇥≮⫘↔1000011110111⨐⩸⫘(≮⫘↔1000001110100⊭↱≮⫘↔10111001110))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4245,"operation_count":12,"complexity_ratio":353.75,"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":1228,"base":2},"right_expr":{"type":"numeric_atoms","value":2118,"base":2}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2607,"base":2}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1550,"base":2},"right_expr":{"type":"numeric_atoms","value":1485,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3989,"base":2},"right_expr":{"type":"numeric_atoms","value":1281,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3970,"base":2},"right_expr":{"type":"numeric_atoms","value":4343,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4212,"base":2},"right_expr":{"type":"numeric_atoms","value":1486,"base":2}}}}},"used_operators":["9FxExcQeMw","xUOZtlo3hN","IWmyXbctLI","XhwjNDsVaA","oWn0xqSxBt","U7g4x0WXJJ","B5M0gjZbta","8HhzD0ZcuI","nCS4ZIUYfx","fu6greOZ01","NTOWxs364D","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1228","layer":4},{"info":"number node, value=2118","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=2118, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2607","layer":4},{"info":"compute unary expreesion, input=2607, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":2},{"info":"compute unary expreesion, input=316, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-490","layer":1},{"info":"number node, value=1550","layer":4},{"info":"number node, value=1485","layer":4},{"info":"compute binary expreesion, left_input=1550, right_input=1485, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7210641","layer":3},{"info":"number node, value=3989","layer":4},{"info":"number node, value=1281","layer":4},{"info":"compute binary expreesion, left_input=3989, right_input=1281, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2708","layer":3},{"info":"compute binary expreesion, left_input=-7210641, right_input=-2708, 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=3970","layer":4},{"info":"number node, value=4343","layer":4},{"info":"compute binary expreesion, left_input=3970, right_input=4343, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8434","layer":3},{"info":"number node, value=4212","layer":4},{"info":"number node, value=1486","layer":4},{"info":"compute binary expreesion, left_input=4212, right_input=1486, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5447","layer":3},{"info":"compute binary expreesion, left_input=-8434, right_input=-5447, 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=nan, 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=-490, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨞⊢(≮⫘↔10011001100/≮⫘↔100001000110)⪮%⊝(⊙↵-≮⫘↔101000101111))⩷∴(≮⫘↔11000001110⨽≮⫘↔10111001101)↬(≮⫘↔111110010101⨳⩥⨓≮⫘↔10100000001)∑⇟⊟(≮⫘↔111110000010⩚⊴⇥≮⫘↔1000011110111⨐⩸⫘(≮⫘↔1000001110100⊭↱≮⫘↔10111001110))=NaN","reverse_text":"NaN=(⨞⊢(≮⫘↔10011001100/≮⫘↔100001000110)⪮%⊝(⊙↵-≮⫘↔101000101111))⩷∴(≮⫘↔11000001110⨽≮⫘↔10111001101)↬(≮⫘↔111110010101⨳⩥⨓≮⫘↔10100000001)∑⇟⊟(≮⫘↔111110000010⩚⊴⇥≮⫘↔1000011110111⨐⩸⫘(≮⫘↔1000001110100⊭↱≮⫘↔10111001110))","cot":[{"info":"≮⫘↔10011001100/≮⫘↔100001000110=≮⫘↔0","layer":3},{"info":"⊙↵-≮⫘↔101000101111=≮⫘↔-1","layer":3},{"info":"≮⫘↔0⪮%⊝≮⫘↔-1=≮⫘↔100111100","layer":2},{"info":"⨞⊢≮⫘↔100111100=≮⫘↔-111101010","layer":1},{"info":"≮⫘↔11000001110⨽≮⫘↔10111001101=≮⫘↔-11011100000011010010001","layer":3},{"info":"≮⫘↔111110010101⨳⩥⨓≮⫘↔10100000001=≮⫘↔-101010010100","layer":3},{"info":"≮⫘↔-11011100000011010010001↬≮⫘↔-101010010100=NaN","layer":2},{"info":"≮⫘↔111110000010⩚⊴⇥≮⫘↔1000011110111=≮⫘↔-10000011110010","layer":3},{"info":"≮⫘↔1000001110100⊭↱≮⫘↔10111001110=≮⫘↔-1010101000111","layer":3},{"info":"≮⫘↔-10000011110010⨐⩸⫘≮⫘↔-1010101000111=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"≮⫘↔-111101010⩷∴NaN=NaN","layer":0}]}
{"id":696,"expression_no_base_symbol":"⫓⪴($1000$⋝⋈⪟$2420$⋥≓≎($2806$%$1634$))↬(($1013$⫥∨⫟$5852$)⩷∴($3184$⫸⊐$4000$))","expression":"⫓⪴(≮⫘↔1111101000⋝⋈⪟≮⫘↔100101110100⋥≓≎(≮⫘↔101011110110%≮⫘↔11001100010))↬((≮⫘↔1111110101⫥∨⫟≮⫘↔1011011011100)⩷∴(≮⫘↔110001110000⫸⊐≮⫘↔111110100000))","highest_n_order":5,"priority_hierarchical_complexity":6,"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":1000,"base":2},"right_expr":{"type":"numeric_atoms","value":2420,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2806,"base":2},"right_expr":{"type":"numeric_atoms","value":1634,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1013,"base":2},"right_expr":{"type":"numeric_atoms","value":5852,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3184,"base":2},"right_expr":{"type":"numeric_atoms","value":4000,"base":2}}}}},"used_operators":["eLxqMNBOBk","B5M0gjZbta","Qy55tPpLXF","2DDjHMKMc0","k8jYdgA6NY","9FxExcQeMw","KYD54nUTWz","mqXw5SEYmG"],"dependent_operators":["9HNa5Wba9A","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":4},{"info":"number node, value=2420","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=2420, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1000","layer":3},{"info":"number node, value=2806","layer":4},{"info":"number node, value=1634","layer":4},{"info":"compute binary expreesion, left_input=2806, right_input=1634, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1172","layer":3},{"info":"compute binary expreesion, left_input=1000, right_input=1172, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1377","layer":2},{"info":"number node, value=1013","layer":4},{"info":"number node, value=5852","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=5852, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3184","layer":4},{"info":"number node, value=4000","layer":4},{"info":"compute binary expreesion, left_input=3184, right_input=4000, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15875","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15875, 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=1377, 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 unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⫓⪴(≮⫘↔1111101000⋝⋈⪟≮⫘↔100101110100⋥≓≎(≮⫘↔101011110110%≮⫘↔11001100010))↬((≮⫘↔1111110101⫥∨⫟≮⫘↔1011011011100)⩷∴(≮⫘↔110001110000⫸⊐≮⫘↔111110100000))=NaN","reverse_text":"NaN=⫓⪴(≮⫘↔1111101000⋝⋈⪟≮⫘↔100101110100⋥≓≎(≮⫘↔101011110110%≮⫘↔11001100010))↬((≮⫘↔1111110101⫥∨⫟≮⫘↔1011011011100)⩷∴(≮⫘↔110001110000⫸⊐≮⫘↔111110100000))","cot":[{"info":"≮⫘↔1111101000⋝⋈⪟≮⫘↔100101110100=≮⫘↔1111101000","layer":3},{"info":"≮⫘↔101011110110%≮⫘↔11001100010=≮⫘↔10010010100","layer":3},{"info":"≮⫘↔1111101000⋥≓≎≮⫘↔10010010100=≮⫘↔10101100001","layer":2},{"info":"≮⫘↔1111110101⫥∨⫟≮⫘↔1011011011100=NaN","layer":3},{"info":"≮⫘↔110001110000⫸⊐≮⫘↔111110100000=≮⫘↔11111000000011","layer":3},{"info":"NaN⩷∴≮⫘↔11111000000011=NaN","layer":2},{"info":"≮⫘↔10101100001↬NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":697,"expression_no_base_symbol":"⪝⪂⫅(⫓⪴($3384$⨳⩥⨓$3144$⋷$2509$≭$4604$))","expression":"⪝⪂⫅(⫓⪴(≮⫘↔110100111000⨳⩥⨓≮⫘↔110001001000⋷≮⫘↔100111001101≭≮⫘↔1000111111100))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":636,"operation_count":5,"complexity_ratio":127.2,"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":3384,"base":2},"right_expr":{"type":"numeric_atoms","value":3144,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2509,"base":2},"right_expr":{"type":"numeric_atoms","value":4604,"base":2}}}}},"used_operators":["XTarYq4gQB","eLxqMNBOBk","23Mk6UjR3U","nCS4ZIUYfx","rxpJgHHUmx"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr"],"result":"≮⫘↔-10000001001100110000000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3384","layer":4},{"info":"number node, value=3144","layer":4},{"info":"compute binary expreesion, left_input=3384, right_input=3144, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-240","layer":3},{"info":"number node, value=2509","layer":4},{"info":"number node, value=4604","layer":4},{"info":"compute binary expreesion, left_input=2509, right_input=4604, 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=-240, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=480","layer":2},{"info":"compute unary expreesion, input=480, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=230400","layer":1},{"info":"compute unary expreesion, input=230400, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-33868800","layer":0}],"base":2,"result_base":2,"text":"⪝⪂⫅(⫓⪴(≮⫘↔110100111000⨳⩥⨓≮⫘↔110001001000⋷≮⫘↔100111001101≭≮⫘↔1000111111100))=≮⫘↔-10000001001100110000000000","reverse_text":"≮⫘↔-10000001001100110000000000=⪝⪂⫅(⫓⪴(≮⫘↔110100111000⨳⩥⨓≮⫘↔110001001000⋷≮⫘↔100111001101≭≮⫘↔1000111111100))","cot":[{"info":"≮⫘↔110100111000⨳⩥⨓≮⫘↔110001001000=≮⫘↔-11110000","layer":3},{"info":"≮⫘↔100111001101≭≮⫘↔1000111111100=NaN","layer":3},{"info":"≮⫘↔-11110000⋷NaN=≮⫘↔111100000","layer":2},{"info":"⫓⪴≮⫘↔111100000=≮⫘↔111000010000000000","layer":1},{"info":"⪝⪂⫅≮⫘↔111000010000000000=≮⫘↔-10000001001100110000000000","layer":0}]}
{"id":698,"expression_no_base_symbol":"($1015$↬$3718$⨳⩥⨓(≦∁$4064$)⨵⪆($2901$≭$3357$⊘))∀⇚≩(⨵≀≌((↯⪼$2656$)⩠))","expression":"(≮⫘↔1111110111↬≮⫘↔111010000110⨳⩥⨓(≦∁≮⫘↔111111100000)⨵⪆(≮⫘↔101101010101≭≮⫘↔110100011101⊘))∀⇚≩(⨵≀≌((↯⪼≮⫘↔101001100000)⩠))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1199,"operation_count":10,"complexity_ratio":119.9,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1015,"base":2},"right_expr":{"type":"numeric_atoms","value":3718,"base":2}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4064,"base":2}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2901,"base":2},"right_expr":{"type":"numeric_atoms","value":3357,"base":2}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2656,"base":2}}}}},"used_operators":["LRNGc0VcxI","2DQ55sFlQl","nCS4ZIUYfx","B5M0gjZbta","9ICcGScMcE","gu96TGCTMs","rxpJgHHUmx","srAu1WTS94","sJAwomhLZr","8jW3W4yZS5"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1015","layer":4},{"info":"number node, value=3718","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=3718, 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=4064","layer":4},{"info":"compute unary expreesion, input=4064, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4064","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4064, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=2901","layer":4},{"info":"number node, value=3357","layer":4},{"info":"compute binary expreesion, left_input=2901, right_input=3357, 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 = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2656","layer":4},{"info":"compute unary expreesion, input=2656, 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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=293","layer":2},{"info":"compute unary expreesion, input=293, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-879","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-879, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1111110111↬≮⫘↔111010000110⨳⩥⨓(≦∁≮⫘↔111111100000)⨵⪆(≮⫘↔101101010101≭≮⫘↔110100011101⊘))∀⇚≩(⨵≀≌((↯⪼≮⫘↔101001100000)⩠))=NaN","reverse_text":"NaN=(≮⫘↔1111110111↬≮⫘↔111010000110⨳⩥⨓(≦∁≮⫘↔111111100000)⨵⪆(≮⫘↔101101010101≭≮⫘↔110100011101⊘))∀⇚≩(⨵≀≌((↯⪼≮⫘↔101001100000)⩠))","cot":[{"info":"≮⫘↔1111110111↬≮⫘↔111010000110=NaN","layer":3},{"info":"≦∁≮⫘↔111111100000=≮⫘↔111111100000","layer":3},{"info":"NaN⨳⩥⨓≮⫘↔111111100000=NaN","layer":2},{"info":"≮⫘↔101101010101≭≮⫘↔110100011101=NaN","layer":3},{"info":"NaN⊘=NaN","layer":2},{"info":"NaN⨵⪆NaN=≮⫘↔10100000","layer":1},{"info":"↯⪼≮⫘↔101001100000=≮⫘↔-10101","layer":3},{"info":"≮⫘↔-10101⩠=≮⫘↔100100101","layer":2},{"info":"⨵≀≌≮⫘↔100100101=≮⫘↔-1101101111","layer":1},{"info":"≮⫘↔10100000∀⇚≩≮⫘↔-1101101111=NaN","layer":0}]}
{"id":699,"expression_no_base_symbol":"(↩($2691$∼$4361$)⨟⋌⩍($1216$∑⇟⊟$3317$))⋳⪒($9035$⨪↰⇹$5496$≎⊠⪸$3745$⨟⋌⩍$1221$⨐⩸⫘($1398$∧)≭($3616$↙$4060$))","expression":"(↩(≮⫘↔101010000011∼≮⫘↔1000100001001)⨟⋌⩍(≮⫘↔10011000000∑⇟⊟≮⫘↔110011110101))⋳⪒(≮⫘↔10001101001011⨪↰⇹≮⫘↔1010101111000≎⊠⪸≮⫘↔111010100001⨟⋌⩍≮⫘↔10011000101⨐⩸⫘(≮⫘↔10101110110∧)≭(≮⫘↔111000100000↙≮⫘↔111111011100))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13200,"operation_count":12,"complexity_ratio":1100.0,"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":2691,"base":2},"right_expr":{"type":"numeric_atoms","value":4361,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1216,"base":2},"right_expr":{"type":"numeric_atoms","value":3317,"base":2}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":9035,"base":2},"right_expr":{"type":"numeric_atoms","value":5496,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3745,"base":2},"right_expr":{"type":"numeric_atoms","value":1221,"base":2}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1398,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3616,"base":2},"right_expr":{"type":"numeric_atoms","value":4060,"base":2}}}}},"used_operators":["12rbrZMWeM","jLgFTUHLKL","rGHVDoGpnC","DyGG3AbaNP","U7g4x0WXJJ","fu6greOZ01","bJkvcejdHO","tmPS8pqC7x","rxpJgHHUmx","z63VuFQld9","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","Tcnh7f0tEr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rJVOvQCfKK","AHs5Up7iyr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2691","layer":4},{"info":"number node, value=4361","layer":4},{"info":"compute binary expreesion, left_input=2691, right_input=4361, 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=1216","layer":4},{"info":"number node, value=3317","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=3317, 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 = 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"number node, value=9035","layer":4},{"info":"number node, value=5496","layer":4},{"info":"compute binary expreesion, left_input=9035, right_input=5496, 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=9035","layer":3},{"info":"number node, value=3745","layer":4},{"info":"number node, value=1221","layer":4},{"info":"compute binary expreesion, left_input=3745, right_input=1221, 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=9035, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=1398","layer":4},{"info":"compute unary expreesion, input=1398, 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=3616","layer":4},{"info":"number node, value=4060","layer":4},{"info":"compute binary expreesion, left_input=3616, right_input=4060, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12180","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-12180, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↩(≮⫘↔101010000011∼≮⫘↔1000100001001)⨟⋌⩍(≮⫘↔10011000000∑⇟⊟≮⫘↔110011110101))⋳⪒(≮⫘↔10001101001011⨪↰⇹≮⫘↔1010101111000≎⊠⪸≮⫘↔111010100001⨟⋌⩍≮⫘↔10011000101⨐⩸⫘(≮⫘↔10101110110∧)≭(≮⫘↔111000100000↙≮⫘↔111111011100))=NaN","reverse_text":"NaN=(↩(≮⫘↔101010000011∼≮⫘↔1000100001001)⨟⋌⩍(≮⫘↔10011000000∑⇟⊟≮⫘↔110011110101))⋳⪒(≮⫘↔10001101001011⨪↰⇹≮⫘↔1010101111000≎⊠⪸≮⫘↔111010100001⨟⋌⩍≮⫘↔10011000101⨐⩸⫘(≮⫘↔10101110110∧)≭(≮⫘↔111000100000↙≮⫘↔111111011100))","cot":[{"info":"≮⫘↔101010000011∼≮⫘↔1000100001001=NaN","layer":3},{"info":"≮⫘↔10011000000∑⇟⊟≮⫘↔110011110101=NaN","layer":3},{"info":"NaN⨟⋌⩍NaN=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"≮⫘↔10001101001011⨪↰⇹≮⫘↔1010101111000=≮⫘↔10001101001011","layer":3},{"info":"≮⫘↔111010100001⨟⋌⩍≮⫘↔10011000101=NaN","layer":3},{"info":"≮⫘↔10001101001011≎⊠⪸NaN=≮⫘↔1000011","layer":2},{"info":"≮⫘↔10101110110∧=NaN","layer":3},{"info":"≮⫘↔111000100000↙≮⫘↔111111011100=≮⫘↔-10111110010100","layer":3},{"info":"NaN≭≮⫘↔-10111110010100=NaN","layer":2},{"info":"≮⫘↔1000011⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":700,"expression_no_base_symbol":"((⫓⪴$3338$)↙$2375$⨟⋌⩍$5354$)⨟⋌⩍($4857$⩤)⪮%⊝($4054$+$2824$)⩷∴(⫓⪴(⨑⩽⪐$1399$))⇷($4517$⨐⩸⫘$1228$+$1440$⊴$2866$)","expression":"((⫓⪴≮⫘↔110100001010)↙≮⫘↔100101000111⨟⋌⩍≮⫘↔1010011101010)⨟⋌⩍(≮⫘↔1001011111001⩤)⪮%⊝(≮⫘↔111111010110+≮⫘↔101100001000)⩷∴(⫓⪴(⨑⩽⪐≮⫘↔10101110111))⇷(≮⫘↔1000110100101⨐⩸⫘≮⫘↔10011001100+≮⫘↔10110100000⊴≮⫘↔101100110010)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7372,"operation_count":14,"complexity_ratio":526.5714285714286,"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":3338,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2375,"base":2},"right_expr":{"type":"numeric_atoms","value":5354,"base":2}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":4857,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4054,"base":2},"right_expr":{"type":"numeric_atoms","value":2824,"base":2}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1399,"base":2}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4517,"base":2},"right_expr":{"type":"numeric_atoms","value":1228,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1440,"base":2},"right_expr":{"type":"numeric_atoms","value":2866,"base":2}}}}},"used_operators":["9FxExcQeMw","rGHVDoGpnC","yyfyN0ffXY","eLxqMNBOBk","IWmyXbctLI","Z2TMIBDE3Q","W4YGzv6Whe","mp7IySMOzn","AF7qkfDlqP","fu6greOZ01","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","Tcnh7f0tEr","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3338","layer":4},{"info":"compute unary expreesion, input=3338, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=11142244","layer":3},{"info":"number node, value=2375","layer":4},{"info":"number node, value=5354","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=5354, 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=11142244, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=4857","layer":4},{"info":"compute unary expreesion, input=4857, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4857","layer":3},{"info":"number node, value=4054","layer":4},{"info":"number node, value=2824","layer":4},{"info":"compute binary expreesion, left_input=4054, right_input=2824, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6878","layer":3},{"info":"compute binary expreesion, left_input=-4857, right_input=6878, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-9398","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-9398, 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=1399","layer":4},{"info":"compute unary expreesion, input=1399, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1126","layer":3},{"info":"compute unary expreesion, input=-1126, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1267876","layer":2},{"info":"number node, value=4517","layer":4},{"info":"number node, value=1228","layer":4},{"info":"compute binary expreesion, left_input=4517, right_input=1228, 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=1440","layer":4},{"info":"number node, value=2866","layer":4},{"info":"compute binary expreesion, left_input=1440, right_input=2866, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1267876, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⫓⪴≮⫘↔110100001010)↙≮⫘↔100101000111⨟⋌⩍≮⫘↔1010011101010)⨟⋌⩍(≮⫘↔1001011111001⩤)⪮%⊝(≮⫘↔111111010110+≮⫘↔101100001000)⩷∴(⫓⪴(⨑⩽⪐≮⫘↔10101110111))⇷(≮⫘↔1000110100101⨐⩸⫘≮⫘↔10011001100+≮⫘↔10110100000⊴≮⫘↔101100110010)=NaN","reverse_text":"NaN=((⫓⪴≮⫘↔110100001010)↙≮⫘↔100101000111⨟⋌⩍≮⫘↔1010011101010)⨟⋌⩍(≮⫘↔1001011111001⩤)⪮%⊝(≮⫘↔111111010110+≮⫘↔101100001000)⩷∴(⫓⪴(⨑⩽⪐≮⫘↔10101110111))⇷(≮⫘↔1000110100101⨐⩸⫘≮⫘↔10011001100+≮⫘↔10110100000⊴≮⫘↔101100110010)","cot":[{"info":"⫓⪴≮⫘↔110100001010=≮⫘↔101010100000010001100100","layer":3},{"info":"≮⫘↔100101000111⨟⋌⩍≮⫘↔1010011101010=NaN","layer":3},{"info":"≮⫘↔101010100000010001100100↙NaN=NaN","layer":2},{"info":"≮⫘↔1001011111001⩤=≮⫘↔-1001011111001","layer":3},{"info":"≮⫘↔111111010110+≮⫘↔101100001000=≮⫘↔1101011011110","layer":3},{"info":"≮⫘↔-1001011111001⪮%⊝≮⫘↔1101011011110=≮⫘↔-10010010110110","layer":2},{"info":"NaN⨟⋌⩍≮⫘↔-10010010110110=NaN","layer":1},{"info":"⨑⩽⪐≮⫘↔10101110111=≮⫘↔-10001100110","layer":3},{"info":"⫓⪴≮⫘↔-10001100110=≮⫘↔100110101100010100100","layer":2},{"info":"≮⫘↔1000110100101⨐⩸⫘≮⫘↔10011001100=NaN","layer":3},{"info":"≮⫘↔10110100000⊴≮⫘↔101100110010=NaN","layer":3},{"info":"NaN+NaN=NaN","layer":2},{"info":"≮⫘↔100110101100010100100⇷NaN=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":701,"expression_no_base_symbol":"∥⊫($1299$≎⊠⪸$1924$↙($7165$↛⩡⫤))∼(⪲⇎($1650$⇼⇔∾$3417$))","expression":"∥⊫(≮⫘↔10100010011≎⊠⪸≮⫘↔11110000100↙(≮⫘↔1101111111101↛⩡⫤))∼(⪲⇎(≮⫘↔11001110010⇼⇔∾≮⫘↔110101011001))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":21913,"operation_count":7,"complexity_ratio":3130.4285714285716,"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":1299,"base":2},"right_expr":{"type":"numeric_atoms","value":1924,"base":2}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":7165,"base":2}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1650,"base":2},"right_expr":{"type":"numeric_atoms","value":3417,"base":2}}}}},"used_operators":["P8v4zCKN1o","DyGG3AbaNP","yyfyN0ffXY","bJkvcejdHO","FU0Cs4j7VP","XPYlsWDdGa","tifHPKVTfV"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1299","layer":4},{"info":"number node, value=1924","layer":4},{"info":"compute binary expreesion, left_input=1299, right_input=1924, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=335968","layer":3},{"info":"number node, value=7165","layer":4},{"info":"compute unary expreesion, input=7165, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1078004","layer":3},{"info":"compute binary expreesion, left_input=335968, right_input=-1078004, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=1650","layer":4},{"info":"number node, value=3417","layer":4},{"info":"compute binary expreesion, left_input=1650, right_input=3417, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1767","layer":3},{"info":"compute unary expreesion, input=1767, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3534","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3534, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"∥⊫(≮⫘↔10100010011≎⊠⪸≮⫘↔11110000100↙(≮⫘↔1101111111101↛⩡⫤))∼(⪲⇎(≮⫘↔11001110010⇼⇔∾≮⫘↔110101011001))=NaN","reverse_text":"NaN=∥⊫(≮⫘↔10100010011≎⊠⪸≮⫘↔11110000100↙(≮⫘↔1101111111101↛⩡⫤))∼(⪲⇎(≮⫘↔11001110010⇼⇔∾≮⫘↔110101011001))","cot":[{"info":"≮⫘↔10100010011≎⊠⪸≮⫘↔11110000100=≮⫘↔1010010000001100000","layer":3},{"info":"≮⫘↔1101111111101↛⩡⫤=≮⫘↔-100000111001011110100","layer":3},{"info":"≮⫘↔1010010000001100000↙≮⫘↔-100000111001011110100=NaN","layer":2},{"info":"≮⫘↔11001110010⇼⇔∾≮⫘↔110101011001=≮⫘↔11011100111","layer":3},{"info":"⪲⇎≮⫘↔11011100111=≮⫘↔110111001110","layer":2},{"info":"NaN∼≮⫘↔110111001110=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
{"id":702,"expression_no_base_symbol":"↣≠⋷(($1617$↺$4765$)⪮%⊝($4652$⪘⫢$1546$)⇷($1091$+⇶⊼$2843$/(⨈⫕$1121$)))","expression":"↣≠⋷((≮⫘↔11001010001↺≮⫘↔1001010011101)⪮%⊝(≮⫘↔1001000101100⪘⫢≮⫘↔11000001010)⇷(≮⫘↔10001000011+⇶⊼≮⫘↔101100011011/(⨈⫕≮⫘↔10001100001)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":138267,"operation_count":8,"complexity_ratio":17283.375,"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":1617,"base":2},"right_expr":{"type":"numeric_atoms","value":4765,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4652,"base":2},"right_expr":{"type":"numeric_atoms","value":1546,"base":2}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1091,"base":2},"right_expr":{"type":"numeric_atoms","value":2843,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1121,"base":2}}}}},"used_operators":["Asc51vEJeQ","mp7IySMOzn","IWmyXbctLI","7j4O788W3g","oacrs7FA3X","XhwjNDsVaA","TpPTUOHfaN","megm06wKyl"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1617","layer":4},{"info":"number node, value=4765","layer":4},{"info":"compute binary expreesion, left_input=1617, right_input=4765, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4765","layer":3},{"info":"number node, value=4652","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=4652, right_input=1546, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9180","layer":3},{"info":"compute binary expreesion, left_input=4765, right_input=9180, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9846","layer":2},{"info":"number node, value=1091","layer":4},{"info":"number node, value=2843","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=2843, 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=1121","layer":4},{"info":"compute unary expreesion, input=1121, 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=nan, right_input=-21, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9846, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↣≠⋷((≮⫘↔11001010001↺≮⫘↔1001010011101)⪮%⊝(≮⫘↔1001000101100⪘⫢≮⫘↔11000001010)⇷(≮⫘↔10001000011+⇶⊼≮⫘↔101100011011/(⨈⫕≮⫘↔10001100001)))=NaN","reverse_text":"NaN=↣≠⋷((≮⫘↔11001010001↺≮⫘↔1001010011101)⪮%⊝(≮⫘↔1001000101100⪘⫢≮⫘↔11000001010)⇷(≮⫘↔10001000011+⇶⊼≮⫘↔101100011011/(⨈⫕≮⫘↔10001100001)))","cot":[{"info":"≮⫘↔11001010001↺≮⫘↔1001010011101=≮⫘↔1001010011101","layer":3},{"info":"≮⫘↔1001000101100⪘⫢≮⫘↔11000001010=≮⫘↔10001111011100","layer":3},{"info":"≮⫘↔1001010011101⪮%⊝≮⫘↔10001111011100=≮⫘↔10011001110110","layer":2},{"info":"≮⫘↔10001000011+⇶⊼≮⫘↔101100011011=NaN","layer":3},{"info":"⨈⫕≮⫘↔10001100001=≮⫘↔-10101","layer":3},{"info":"NaN/≮⫘↔-10101=NaN","layer":2},{"info":"≮⫘↔10011001110110⇷NaN=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":703,"expression_no_base_symbol":"(($5290$≹⇙⪍$8156$⨎$3879$⩷∴$1252$)⩤)⩷∴(⨰⫟⨤(($5023$⨸⪁$2618$)⪄(+⊝⨔$2570$)))","expression":"((≮⫘↔1010010101010≹⇙⪍≮⫘↔1111111011100⨎≮⫘↔111100100111⩷∴≮⫘↔10011100100)⩤)⩷∴(⨰⫟⨤((≮⫘↔1001110011111⨸⪁≮⫘↔101000111010)⪄(+⊝⨔≮⫘↔101000001010)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4528873,"operation_count":9,"complexity_ratio":503208.1111111111,"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":5290,"base":2},"right_expr":{"type":"numeric_atoms","value":8156,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3879,"base":2},"right_expr":{"type":"numeric_atoms","value":1252,"base":2}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5023,"base":2},"right_expr":{"type":"numeric_atoms","value":2618,"base":2}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2570,"base":2}}}}},"used_operators":["9FxExcQeMw","Z2TMIBDE3Q","rJVOvQCfKK","AHs5Up7iyr","Tw270M8GLb","SUmda5xLS4","g55IO6H4Gj","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5290","layer":4},{"info":"number node, value=8156","layer":4},{"info":"compute binary expreesion, left_input=5290, right_input=8156, 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=3879","layer":4},{"info":"number node, value=1252","layer":4},{"info":"compute binary expreesion, left_input=3879, right_input=1252, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5222","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5222, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5222","layer":2},{"info":"compute unary expreesion, input=5222, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5222","layer":1},{"info":"number node, value=5023","layer":4},{"info":"number node, value=2618","layer":4},{"info":"compute binary expreesion, left_input=5023, right_input=2618, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15282","layer":3},{"info":"number node, value=2570","layer":4},{"info":"compute unary expreesion, input=2570, 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=15282, right_input=1522, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-2263913","layer":2},{"info":"compute unary expreesion, input=-2263913, 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=-5222, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010010101010≹⇙⪍≮⫘↔1111111011100⨎≮⫘↔111100100111⩷∴≮⫘↔10011100100)⩤)⩷∴(⨰⫟⨤((≮⫘↔1001110011111⨸⪁≮⫘↔101000111010)⪄(+⊝⨔≮⫘↔101000001010)))=NaN","reverse_text":"NaN=((≮⫘↔1010010101010≹⇙⪍≮⫘↔1111111011100⨎≮⫘↔111100100111⩷∴≮⫘↔10011100100)⩤)⩷∴(⨰⫟⨤((≮⫘↔1001110011111⨸⪁≮⫘↔101000111010)⪄(+⊝⨔≮⫘↔101000001010)))","cot":[{"info":"≮⫘↔1010010101010≹⇙⪍≮⫘↔1111111011100=NaN","layer":3},{"info":"≮⫘↔111100100111⩷∴≮⫘↔10011100100=≮⫘↔1010001100110","layer":3},{"info":"NaN⨎≮⫘↔1010001100110=≮⫘↔1010001100110","layer":2},{"info":"≮⫘↔1010001100110⩤=≮⫘↔-1010001100110","layer":1},{"info":"≮⫘↔1001110011111⨸⪁≮⫘↔101000111010=≮⫘↔11101110110010","layer":3},{"info":"+⊝⨔≮⫘↔101000001010=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔11101110110010⪄≮⫘↔10111110010=≮⫘↔-1000101000101101101001","layer":2},{"info":"⨰⫟⨤≮⫘↔-1000101000101101101001=NaN","layer":1},{"info":"≮⫘↔-1010001100110⩷∴NaN=NaN","layer":0}]}
{"id":704,"expression_no_base_symbol":"⩦⩻⨪((⊥$1158$)∸)⨽($3545$∀⇚≩$3207$⊘)","expression":"⩦⩻⨪((⊥≮⫘↔10010000110)∸)⨽(≮⫘↔110111011001∀⇚≩≮⫘↔110010000111⊘)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":25203,"operation_count":6,"complexity_ratio":4200.5,"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":1158,"base":2}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3545,"base":2},"right_expr":{"type":"numeric_atoms","value":3207,"base":2}}}}},"used_operators":["2td37pGCOC","8HhzD0ZcuI","o20kRiQErp","Q3PJZHRvZv","gu96TGCTMs","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","fu6greOZ01","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1158","layer":4},{"info":"compute unary expreesion, input=1158, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=3545","layer":4},{"info":"number node, value=3207","layer":4},{"info":"compute binary expreesion, left_input=3545, right_input=3207, 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 = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⩦⩻⨪((⊥≮⫘↔10010000110)∸)⨽(≮⫘↔110111011001∀⇚≩≮⫘↔110010000111⊘)=NaN","reverse_text":"NaN=⩦⩻⨪((⊥≮⫘↔10010000110)∸)⨽(≮⫘↔110111011001∀⇚≩≮⫘↔110010000111⊘)","cot":[{"info":"⊥≮⫘↔10010000110=NaN","layer":3},{"info":"NaN∸=≮⫘↔10110001","layer":2},{"info":"≮⫘↔110111011001∀⇚≩≮⫘↔110010000111=NaN","layer":3},{"info":"NaN⊘=NaN","layer":2},{"info":"≮⫘↔10110001⨽NaN=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":705,"expression_no_base_symbol":"((⇁⨣⪵$7685$)⊦⊿)⨓(↽≂$2487$↬$1867$)⪨≂(↽≂$2318$)≧⫂∧($5531$-$2506$)⨽($2712$⩷∴$6837$∲⫓$3956$⨎$4301$)","expression":"((⇁⨣⪵≮⫘↔1111000000101)⊦⊿)⨓(↽≂≮⫘↔100110110111↬≮⫘↔11101001011)⪨≂(↽≂≮⫘↔100100001110)≧⫂∧(≮⫘↔1010110011011-≮⫘↔100111001010)⨽(≮⫘↔101010011000⩷∴≮⫘↔1101010110101∲⫓≮⫘↔111101110100⨎≮⫘↔1000011001101)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2598,"operation_count":13,"complexity_ratio":199.84615384615384,"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":7685,"base":2}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2487,"base":2},"right_expr":{"type":"numeric_atoms","value":1867,"base":2}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2318,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5531,"base":2},"right_expr":{"type":"numeric_atoms","value":2506,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2712,"base":2},"right_expr":{"type":"numeric_atoms","value":6837,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3956,"base":2},"right_expr":{"type":"numeric_atoms","value":4301,"base":2}}}}},"used_operators":["sdazOOVcIp","3ViojmjbAp","14qkJME0vr","inkyxCbjAn","u6S6b8DprG","B5M0gjZbta","8HhzD0ZcuI","Ph9nP6C5qx","rysDP5nf3Z","i8ToyICDmI","9FxExcQeMw","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7685","layer":4},{"info":"compute unary expreesion, input=7685, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=2487","layer":4},{"info":"number node, value=1867","layer":4},{"info":"compute binary expreesion, left_input=2487, right_input=1867, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=2318","layer":4},{"info":"compute unary expreesion, input=2318, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4636","layer":3},{"info":"number node, value=5531","layer":4},{"info":"number node, value=2506","layer":4},{"info":"compute binary expreesion, left_input=5531, right_input=2506, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3025","layer":3},{"info":"compute binary expreesion, left_input=-4636, right_input=3025, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2552","layer":2},{"info":"number node, value=2712","layer":4},{"info":"number node, value=6837","layer":4},{"info":"compute binary expreesion, left_input=2712, right_input=6837, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-8282","layer":3},{"info":"number node, value=3956","layer":4},{"info":"number node, value=4301","layer":4},{"info":"compute binary expreesion, left_input=3956, right_input=4301, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4301","layer":3},{"info":"compute binary expreesion, left_input=-8282, right_input=4301, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2552, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-19536798","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-19536798, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⇁⨣⪵≮⫘↔1111000000101)⊦⊿)⨓(↽≂≮⫘↔100110110111↬≮⫘↔11101001011)⪨≂(↽≂≮⫘↔100100001110)≧⫂∧(≮⫘↔1010110011011-≮⫘↔100111001010)⨽(≮⫘↔101010011000⩷∴≮⫘↔1101010110101∲⫓≮⫘↔111101110100⨎≮⫘↔1000011001101)=NaN","reverse_text":"NaN=((⇁⨣⪵≮⫘↔1111000000101)⊦⊿)⨓(↽≂≮⫘↔100110110111↬≮⫘↔11101001011)⪨≂(↽≂≮⫘↔100100001110)≧⫂∧(≮⫘↔1010110011011-≮⫘↔100111001010)⨽(≮⫘↔101010011000⩷∴≮⫘↔1101010110101∲⫓≮⫘↔111101110100⨎≮⫘↔1000011001101)","cot":[{"info":"⇁⨣⪵≮⫘↔1111000000101=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"≮⫘↔100110110111↬≮⫘↔11101001011=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"↽≂≮⫘↔100100001110=≮⫘↔-1001000011100","layer":3},{"info":"≮⫘↔1010110011011-≮⫘↔100111001010=≮⫘↔101111010001","layer":3},{"info":"≮⫘↔-1001000011100≧⫂∧≮⫘↔101111010001=≮⫘↔100111111000","layer":2},{"info":"≮⫘↔101010011000⩷∴≮⫘↔1101010110101=≮⫘↔-10000001011010","layer":3},{"info":"≮⫘↔111101110100⨎≮⫘↔1000011001101=≮⫘↔1000011001101","layer":3},{"info":"≮⫘↔-10000001011010∲⫓≮⫘↔1000011001101=≮⫘↔0","layer":2},{"info":"≮⫘↔100111111000⨽≮⫘↔0=≮⫘↔-1001010100001101110011110","layer":1},{"info":"NaN⪨≂≮⫘↔-1001010100001101110011110=NaN","layer":0}]}
{"id":706,"expression_no_base_symbol":"(∥⊫$8115$⨟⋌⩍$2815$)⊴($4267$≧⫂∧$3715$↙($3095$∲⫓$2930$))⫸⊐(-(-(+⊝⨔$4124$)))","expression":"(∥⊫≮⫘↔1111110110011⨟⋌⩍≮⫘↔101011111111)⊴(≮⫘↔1000010101011≧⫂∧≮⫘↔111010000011↙(≮⫘↔110000010111∲⫓≮⫘↔101101110010))⫸⊐(-(-(+⊝⨔≮⫘↔1000000011100)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":64,"operation_count":10,"complexity_ratio":6.4,"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":8115,"base":2},"right_expr":{"type":"numeric_atoms","value":2815,"base":2}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4267,"base":2},"right_expr":{"type":"numeric_atoms","value":3715,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3095,"base":2},"right_expr":{"type":"numeric_atoms","value":2930,"base":2}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4124,"base":2}}}}},"used_operators":["mqXw5SEYmG","Nsiff2A1zJ","P8v4zCKN1o","rGHVDoGpnC","yyfyN0ffXY","Ph9nP6C5qx","i8ToyICDmI","t8gj7n24qd","DhbWaqg5eL"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"≮⫘↔110010101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8115","layer":4},{"info":"number node, value=2815","layer":4},{"info":"compute binary expreesion, left_input=8115, right_input=2815, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":2},{"info":"number node, value=4267","layer":4},{"info":"number node, value=3715","layer":4},{"info":"compute binary expreesion, left_input=4267, right_input=3715, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3242","layer":3},{"info":"number node, value=3095","layer":4},{"info":"number node, value=2930","layer":4},{"info":"compute binary expreesion, left_input=3095, right_input=2930, 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=3242, right_input=0, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":1},{"info":"number node, value=4124","layer":4},{"info":"compute unary expreesion, input=4124, 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 = t8gj7n24qd, unary_op_definition = 'None', output=-1522","layer":2},{"info":"compute unary expreesion, input=-1522, op_id = t8gj7n24qd, unary_op_definition = 'None', output=1522","layer":1},{"info":"compute binary expreesion, left_input=-79, right_input=1522, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=405","layer":0}],"base":2,"result_base":2,"text":"(∥⊫≮⫘↔1111110110011⨟⋌⩍≮⫘↔101011111111)⊴(≮⫘↔1000010101011≧⫂∧≮⫘↔111010000011↙(≮⫘↔110000010111∲⫓≮⫘↔101101110010))⫸⊐(-(-(+⊝⨔≮⫘↔1000000011100)))=≮⫘↔110010101","reverse_text":"≮⫘↔110010101=(∥⊫≮⫘↔1111110110011⨟⋌⩍≮⫘↔101011111111)⊴(≮⫘↔1000010101011≧⫂∧≮⫘↔111010000011↙(≮⫘↔110000010111∲⫓≮⫘↔101101110010))⫸⊐(-(-(+⊝⨔≮⫘↔1000000011100)))","cot":[{"info":"≮⫘↔1111110110011⨟⋌⩍≮⫘↔101011111111=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"≮⫘↔1000010101011≧⫂∧≮⫘↔111010000011=≮⫘↔110010101010","layer":3},{"info":"≮⫘↔110000010111∲⫓≮⫘↔101101110010=≮⫘↔0","layer":3},{"info":"≮⫘↔110010101010↙≮⫘↔0=≮⫘↔0","layer":2},{"info":"NaN⊴≮⫘↔0=≮⫘↔-1001111","layer":1},{"info":"+⊝⨔≮⫘↔1000000011100=≮⫘↔10111110010","layer":3},{"info":"-≮⫘↔10111110010=≮⫘↔-10111110010","layer":2},{"info":"-≮⫘↔-10111110010=≮⫘↔10111110010","layer":1},{"info":"≮⫘↔-1001111⫸⊐≮⫘↔10111110010=≮⫘↔110010101","layer":0}]}
{"id":707,"expression_no_base_symbol":"⩦⩻⨪($7075$⨓$1937$⨽(⩦⩻⨪$2491$)⊉≛↸(⊥($2040$∲⫓$1048$)))","expression":"⩦⩻⨪(≮⫘↔1101110100011⨓≮⫘↔11110010001⨽(⩦⩻⨪≮⫘↔100110111011)⊉≛↸(⊥(≮⫘↔11111111000∲⫓≮⫘↔10000011000)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3905,"operation_count":7,"complexity_ratio":557.8571428571429,"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":7075,"base":2},"right_expr":{"type":"numeric_atoms","value":1937,"base":2}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2491,"base":2}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2040,"base":2},"right_expr":{"type":"numeric_atoms","value":1048,"base":2}}}}},"used_operators":["2td37pGCOC","DZ8iAZOCBD","8HhzD0ZcuI","3ViojmjbAp","Q3PJZHRvZv","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7075","layer":4},{"info":"number node, value=1937","layer":4},{"info":"compute binary expreesion, left_input=7075, right_input=1937, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1940","layer":3},{"info":"number node, value=2491","layer":4},{"info":"compute unary expreesion, input=2491, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2491","layer":3},{"info":"compute binary expreesion, left_input=-1940, right_input=2491, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11296959","layer":2},{"info":"number node, value=2040","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=2040, right_input=1048, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-11296959, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":0}],"base":2,"result_base":2,"text":"⩦⩻⨪(≮⫘↔1101110100011⨓≮⫘↔11110010001⨽(⩦⩻⨪≮⫘↔100110111011)⊉≛↸(⊥(≮⫘↔11111111000∲⫓≮⫘↔10000011000)))=≮⫘↔0","reverse_text":"≮⫘↔0=⩦⩻⨪(≮⫘↔1101110100011⨓≮⫘↔11110010001⨽(⩦⩻⨪≮⫘↔100110111011)⊉≛↸(⊥(≮⫘↔11111111000∲⫓≮⫘↔10000011000)))","cot":[{"info":"≮⫘↔1101110100011⨓≮⫘↔11110010001=≮⫘↔-11110010100","layer":3},{"info":"⩦⩻⨪≮⫘↔100110111011=≮⫘↔100110111011","layer":3},{"info":"≮⫘↔-11110010100⨽≮⫘↔100110111011=≮⫘↔-101011000110000010111111","layer":2},{"info":"≮⫘↔11111111000∲⫓≮⫘↔10000011000=≮⫘↔0","layer":3},{"info":"⊥≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔-101011000110000010111111⊉≛↸≮⫘↔0=≮⫘↔0","layer":1},{"info":"⩦⩻⨪≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":708,"expression_no_base_symbol":"(($6144$⊪)⩷∴($2971$⨐⩸⫘$8409$)⨵⪆($3601$⨐⩸⫘$4131$⫡⨏($1027$⪐)))⩷∴(($3008$%$3198$)⨳⩥⨓(≤/$1353$))∼((⫓⪴$1499$)↬($1854$⩤))","expression":"((≮⫘↔1100000000000⊪)⩷∴(≮⫘↔101110011011⨐⩸⫘≮⫘↔10000011011001)⨵⪆(≮⫘↔111000010001⨐⩸⫘≮⫘↔1000000100011⫡⨏(≮⫘↔10000000011⪐)))⩷∴((≮⫘↔101111000000%≮⫘↔110001111110)⨳⩥⨓(≤/≮⫘↔10101001001))∼((⫓⪴≮⫘↔10111011011)↬(≮⫘↔11100111110⩤))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1641,"operation_count":15,"complexity_ratio":109.4,"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":6144,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2971,"base":2},"right_expr":{"type":"numeric_atoms","value":8409,"base":2}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3601,"base":2},"right_expr":{"type":"numeric_atoms","value":4131,"base":2}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1027,"base":2}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3008,"base":2},"right_expr":{"type":"numeric_atoms","value":3198,"base":2}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1353,"base":2}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1499,"base":2}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1854,"base":2}}}}},"used_operators":["9FxExcQeMw","2DQ55sFlQl","zVYPLywUTj","fu6greOZ01","QMFrweE19q","eH2TOUuTDT","DyGG3AbaNP","nCS4ZIUYfx","k8jYdgA6NY","eLAdDNolq6","B5M0gjZbta","eLxqMNBOBk","Z2TMIBDE3Q"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","rGHVDoGpnC","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6144","layer":4},{"info":"compute unary expreesion, input=6144, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=2971","layer":4},{"info":"number node, value=8409","layer":4},{"info":"compute binary expreesion, left_input=2971, right_input=8409, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=3601","layer":4},{"info":"number node, value=4131","layer":4},{"info":"compute binary expreesion, left_input=3601, right_input=4131, 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=1027","layer":4},{"info":"compute unary expreesion, input=1027, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2054","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2054, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=3008","layer":4},{"info":"number node, value=3198","layer":4},{"info":"compute binary expreesion, left_input=3008, right_input=3198, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3008","layer":3},{"info":"number node, value=1353","layer":4},{"info":"compute unary expreesion, input=1353, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-869","layer":3},{"info":"compute binary expreesion, left_input=3008, right_input=-869, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3877","layer":2},{"info":"number node, value=1499","layer":4},{"info":"compute unary expreesion, input=1499, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2247001","layer":3},{"info":"number node, value=1854","layer":4},{"info":"compute unary expreesion, input=1854, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1854","layer":3},{"info":"compute binary expreesion, left_input=2247001, right_input=-1854, 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=-3877, 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":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1100000000000⊪)⩷∴(≮⫘↔101110011011⨐⩸⫘≮⫘↔10000011011001)⨵⪆(≮⫘↔111000010001⨐⩸⫘≮⫘↔1000000100011⫡⨏(≮⫘↔10000000011⪐)))⩷∴((≮⫘↔101111000000%≮⫘↔110001111110)⨳⩥⨓(≤/≮⫘↔10101001001))∼((⫓⪴≮⫘↔10111011011)↬(≮⫘↔11100111110⩤))=NaN","reverse_text":"NaN=((≮⫘↔1100000000000⊪)⩷∴(≮⫘↔101110011011⨐⩸⫘≮⫘↔10000011011001)⨵⪆(≮⫘↔111000010001⨐⩸⫘≮⫘↔1000000100011⫡⨏(≮⫘↔10000000011⪐)))⩷∴((≮⫘↔101111000000%≮⫘↔110001111110)⨳⩥⨓(≤/≮⫘↔10101001001))∼((⫓⪴≮⫘↔10111011011)↬(≮⫘↔11100111110⩤))","cot":[{"info":"≮⫘↔1100000000000⊪=≮⫘↔0","layer":3},{"info":"≮⫘↔101110011011⨐⩸⫘≮⫘↔10000011011001=NaN","layer":3},{"info":"≮⫘↔0⩷∴NaN=NaN","layer":2},{"info":"≮⫘↔111000010001⨐⩸⫘≮⫘↔1000000100011=NaN","layer":3},{"info":"≮⫘↔10000000011⪐=≮⫘↔100000000110","layer":3},{"info":"NaN⫡⨏≮⫘↔100000000110=NaN","layer":2},{"info":"NaN⨵⪆NaN=≮⫘↔10100000","layer":1},{"info":"≮⫘↔101111000000%≮⫘↔110001111110=≮⫘↔101111000000","layer":3},{"info":"≤/≮⫘↔10101001001=≮⫘↔-1101100101","layer":3},{"info":"≮⫘↔101111000000⨳⩥⨓≮⫘↔-1101100101=≮⫘↔-111100100101","layer":2},{"info":"⫓⪴≮⫘↔10111011011=≮⫘↔1000100100100101011001","layer":3},{"info":"≮⫘↔11100111110⩤=≮⫘↔-11100111110","layer":3},{"info":"≮⫘↔1000100100100101011001↬≮⫘↔-11100111110=NaN","layer":2},{"info":"≮⫘↔-111100100101∼NaN=NaN","layer":1},{"info":"≮⫘↔10100000⩷∴NaN=NaN","layer":0}]}
{"id":709,"expression_no_base_symbol":"(($5285$⨐⩸⫘$2368$)⪘⫢($8539$⨸⪁$1909$))⪛($1632$∀⇚≩$2287$⋝⋈⪟($1023$⫥∨⫟$1071$))⊉≛↸(($4927$⊉≛↸$3543$)⨓($6585$⩨$4055$))↬($6372$≋⫹)⪛($3251$⨓$3857$)","expression":"((≮⫘↔1010010100101⨐⩸⫘≮⫘↔100101000000)⪘⫢(≮⫘↔10000101011011⨸⪁≮⫘↔11101110101))⪛(≮⫘↔11001100000∀⇚≩≮⫘↔100011101111⋝⋈⪟(≮⫘↔1111111111⫥∨⫟≮⫘↔10000101111))⊉≛↸((≮⫘↔1001100111111⊉≛↸≮⫘↔110111010111)⨓(≮⫘↔1100110111001⩨≮⫘↔111111010111))↬(≮⫘↔1100011100100≋⫹)⪛(≮⫘↔110010110011⨓≮⫘↔111100010001)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15486,"operation_count":15,"complexity_ratio":1032.4,"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":5285,"base":2},"right_expr":{"type":"numeric_atoms","value":2368,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":8539,"base":2},"right_expr":{"type":"numeric_atoms","value":1909,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1632,"base":2},"right_expr":{"type":"numeric_atoms","value":2287,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1023,"base":2},"right_expr":{"type":"numeric_atoms","value":1071,"base":2}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4927,"base":2},"right_expr":{"type":"numeric_atoms","value":3543,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6585,"base":2},"right_expr":{"type":"numeric_atoms","value":4055,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":6372,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3251,"base":2},"right_expr":{"type":"numeric_atoms","value":3857,"base":2}}}}},"used_operators":["DZ8iAZOCBD","uFcxV4UQCh","oacrs7FA3X","fu6greOZ01","g55IO6H4Gj","2DDjHMKMc0","LRNGc0VcxI","KYD54nUTWz","B5M0gjZbta","3ViojmjbAp","2DlMacCsIx","N41Kp7NANJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","3ViojmjbAp","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5285","layer":4},{"info":"number node, value=2368","layer":4},{"info":"compute binary expreesion, left_input=5285, right_input=2368, 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=8539","layer":4},{"info":"number node, value=1909","layer":4},{"info":"compute binary expreesion, left_input=8539, right_input=1909, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20896","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=20896, 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=1632","layer":4},{"info":"number node, value=2287","layer":4},{"info":"compute binary expreesion, left_input=1632, right_input=2287, 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=1023","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=1071, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=4927","layer":4},{"info":"number node, value=3543","layer":4},{"info":"compute binary expreesion, left_input=4927, right_input=3543, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9854","layer":3},{"info":"number node, value=6585","layer":4},{"info":"number node, value=4055","layer":4},{"info":"compute binary expreesion, left_input=6585, right_input=4055, 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=9854, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=6372","layer":4},{"info":"compute unary expreesion, input=6372, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-12744","layer":3},{"info":"number node, value=3251","layer":4},{"info":"number node, value=3857","layer":4},{"info":"compute binary expreesion, left_input=3251, right_input=3857, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3860","layer":3},{"info":"compute binary expreesion, left_input=-12744, right_input=-3860, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-1164","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1164, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010010100101⨐⩸⫘≮⫘↔100101000000)⪘⫢(≮⫘↔10000101011011⨸⪁≮⫘↔11101110101))⪛(≮⫘↔11001100000∀⇚≩≮⫘↔100011101111⋝⋈⪟(≮⫘↔1111111111⫥∨⫟≮⫘↔10000101111))⊉≛↸((≮⫘↔1001100111111⊉≛↸≮⫘↔110111010111)⨓(≮⫘↔1100110111001⩨≮⫘↔111111010111))↬(≮⫘↔1100011100100≋⫹)⪛(≮⫘↔110010110011⨓≮⫘↔111100010001)=NaN","reverse_text":"NaN=((≮⫘↔1010010100101⨐⩸⫘≮⫘↔100101000000)⪘⫢(≮⫘↔10000101011011⨸⪁≮⫘↔11101110101))⪛(≮⫘↔11001100000∀⇚≩≮⫘↔100011101111⋝⋈⪟(≮⫘↔1111111111⫥∨⫟≮⫘↔10000101111))⊉≛↸((≮⫘↔1001100111111⊉≛↸≮⫘↔110111010111)⨓(≮⫘↔1100110111001⩨≮⫘↔111111010111))↬(≮⫘↔1100011100100≋⫹)⪛(≮⫘↔110010110011⨓≮⫘↔111100010001)","cot":[{"info":"≮⫘↔1010010100101⨐⩸⫘≮⫘↔100101000000=NaN","layer":3},{"info":"≮⫘↔10000101011011⨸⪁≮⫘↔11101110101=≮⫘↔101000110100000","layer":3},{"info":"NaN⪘⫢≮⫘↔101000110100000=NaN","layer":2},{"info":"≮⫘↔11001100000∀⇚≩≮⫘↔100011101111=NaN","layer":3},{"info":"≮⫘↔1111111111⫥∨⫟≮⫘↔10000101111=NaN","layer":3},{"info":"NaN⋝⋈⪟NaN=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"≮⫘↔1001100111111⊉≛↸≮⫘↔110111010111=≮⫘↔10011001111110","layer":3},{"info":"≮⫘↔1100110111001⩨≮⫘↔111111010111=≮⫘↔0","layer":3},{"info":"≮⫘↔10011001111110⨓≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔1100011100100≋⫹=≮⫘↔-11000111001000","layer":3},{"info":"≮⫘↔110010110011⨓≮⫘↔111100010001=≮⫘↔-111100010100","layer":3},{"info":"≮⫘↔-11000111001000⪛≮⫘↔-111100010100=≮⫘↔-10010001100","layer":2},{"info":"NaN↬≮⫘↔-10010001100=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":710,"expression_no_base_symbol":"(($1885$⪨≂$6108$)⊴($5140$⩚⊴⇥$3098$))≹⇙⪍($6022$*$4785$⊭↱($2005$⊦⊿))⩨(($3469$%$7685$)∧)⨪↰⇹($4989$*$4615$*($1548$≦≮≮))","expression":"((≮⫘↔11101011101⪨≂≮⫘↔1011111011100)⊴(≮⫘↔1010000010100⩚⊴⇥≮⫘↔110000011010))≹⇙⪍(≮⫘↔1011110000110*≮⫘↔1001010110001⊭↱(≮⫘↔11111010101⊦⊿))⩨((≮⫘↔110110001101%≮⫘↔1111000000101)∧)⨪↰⇹(≮⫘↔1001101111101*≮⫘↔1001000000111*(≮⫘↔11000001100≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":22445,"operation_count":14,"complexity_ratio":1603.2142857142858,"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":1885,"base":2},"right_expr":{"type":"numeric_atoms","value":6108,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5140,"base":2},"right_expr":{"type":"numeric_atoms","value":3098,"base":2}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6022,"base":2},"right_expr":{"type":"numeric_atoms","value":4785,"base":2}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2005,"base":2}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3469,"base":2},"right_expr":{"type":"numeric_atoms","value":7685,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4989,"base":2},"right_expr":{"type":"numeric_atoms","value":4615,"base":2}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1548,"base":2}}}}},"used_operators":["2DlMacCsIx","AHs5Up7iyr","Nsiff2A1zJ","sdazOOVcIp","NTOWxs364D","COABgblf1C","9HNa5Wba9A","14qkJME0vr","tmPS8pqC7x","z63VuFQld9","k8jYdgA6NY","D4vGDi5EA2"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1885","layer":4},{"info":"number node, value=6108","layer":4},{"info":"compute binary expreesion, left_input=1885, right_input=6108, 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=-8344","layer":3},{"info":"number node, value=5140","layer":4},{"info":"number node, value=3098","layer":4},{"info":"compute binary expreesion, left_input=5140, right_input=3098, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8359","layer":3},{"info":"compute binary expreesion, left_input=-8344, right_input=-8359, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=6022","layer":4},{"info":"number node, value=4785","layer":4},{"info":"compute binary expreesion, left_input=6022, right_input=4785, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=28815270","layer":3},{"info":"number node, value=2005","layer":4},{"info":"compute unary expreesion, input=2005, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6094","layer":3},{"info":"compute binary expreesion, left_input=28815270, right_input=-6094, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-57642723","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-57642723, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=3469","layer":4},{"info":"number node, value=7685","layer":4},{"info":"compute binary expreesion, left_input=3469, right_input=7685, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3469","layer":3},{"info":"compute unary expreesion, input=3469, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":2},{"info":"number node, value=4989","layer":4},{"info":"number node, value=4615","layer":4},{"info":"compute binary expreesion, left_input=4989, right_input=4615, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=23024235","layer":3},{"info":"number node, value=1548","layer":4},{"info":"compute unary expreesion, input=1548, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4644","layer":3},{"info":"compute binary expreesion, left_input=23024235, right_input=-4644, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11101011101⪨≂≮⫘↔1011111011100)⊴(≮⫘↔1010000010100⩚⊴⇥≮⫘↔110000011010))≹⇙⪍(≮⫘↔1011110000110*≮⫘↔1001010110001⊭↱(≮⫘↔11111010101⊦⊿))⩨((≮⫘↔110110001101%≮⫘↔1111000000101)∧)⨪↰⇹(≮⫘↔1001101111101*≮⫘↔1001000000111*(≮⫘↔11000001100≦≮≮))=NaN","reverse_text":"NaN=((≮⫘↔11101011101⪨≂≮⫘↔1011111011100)⊴(≮⫘↔1010000010100⩚⊴⇥≮⫘↔110000011010))≹⇙⪍(≮⫘↔1011110000110*≮⫘↔1001010110001⊭↱(≮⫘↔11111010101⊦⊿))⩨((≮⫘↔110110001101%≮⫘↔1111000000101)∧)⨪↰⇹(≮⫘↔1001101111101*≮⫘↔1001000000111*(≮⫘↔11000001100≦≮≮))","cot":[{"info":"≮⫘↔11101011101⪨≂≮⫘↔1011111011100=≮⫘↔-10000010011000","layer":3},{"info":"≮⫘↔1010000010100⩚⊴⇥≮⫘↔110000011010=≮⫘↔-10000010100111","layer":3},{"info":"≮⫘↔-10000010011000⊴≮⫘↔-10000010100111=NaN","layer":2},{"info":"≮⫘↔1011110000110*≮⫘↔1001010110001=≮⫘↔1101101111010111110100110","layer":3},{"info":"≮⫘↔11111010101⊦⊿=≮⫘↔-1011111001110","layer":3},{"info":"≮⫘↔1101101111010111110100110⊭↱≮⫘↔-1011111001110=≮⫘↔-11011011111000111011100011","layer":2},{"info":"NaN≹⇙⪍≮⫘↔-11011011111000111011100011=NaN","layer":1},{"info":"≮⫘↔110110001101%≮⫘↔1111000000101=≮⫘↔110110001101","layer":3},{"info":"≮⫘↔110110001101∧=NaN","layer":2},{"info":"≮⫘↔1001101111101*≮⫘↔1001000000111=≮⫘↔1010111110101001001101011","layer":3},{"info":"≮⫘↔11000001100≦≮≮=≮⫘↔-1001000100100","layer":3},{"info":"≮⫘↔1010111110101001001101011*≮⫘↔-1001000100100=-Inf","layer":2},{"info":"NaN⨪↰⇹-Inf=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
{"id":711,"expression_no_base_symbol":"(((∂$6195$)⪒$6854$⪄$1444$)⩷∴(($1997$⨸⪁$1902$)⋝⋈⪟(⨵≀≌$4877$)))∧","expression":"(((∂≮⫘↔1100000110011)⪒≮⫘↔1101011000110⪄≮⫘↔10110100100)⩷∴((≮⫘↔11111001101⨸⪁≮⫘↔11101101110)⋝⋈⪟(⨵≀≌≮⫘↔1001100001101)))∧","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":122,"operation_count":8,"complexity_ratio":15.25,"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":6195,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6854,"base":2},"right_expr":{"type":"numeric_atoms","value":1444,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1997,"base":2},"right_expr":{"type":"numeric_atoms","value":1902,"base":2}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4877,"base":2}}}}},"used_operators":["z63VuFQld9","9FxExcQeMw","f6k1SAg4EE","Uaa54Peajs","SUmda5xLS4","2DDjHMKMc0","g55IO6H4Gj","srAu1WTS94"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6195","layer":4},{"info":"compute unary expreesion, input=6195, 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=6854","layer":4},{"info":"number node, value=1444","layer":4},{"info":"compute binary expreesion, left_input=6854, right_input=1444, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1016257","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1016257, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1997","layer":4},{"info":"number node, value=1902","layer":4},{"info":"compute binary expreesion, left_input=1997, right_input=1902, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7798","layer":3},{"info":"number node, value=4877","layer":4},{"info":"compute unary expreesion, input=4877, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-14631","layer":3},{"info":"compute binary expreesion, left_input=7798, right_input=-14631, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7798","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7798, 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 = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((∂≮⫘↔1100000110011)⪒≮⫘↔1101011000110⪄≮⫘↔10110100100)⩷∴((≮⫘↔11111001101⨸⪁≮⫘↔11101101110)⋝⋈⪟(⨵≀≌≮⫘↔1001100001101)))∧=NaN","reverse_text":"NaN=(((∂≮⫘↔1100000110011)⪒≮⫘↔1101011000110⪄≮⫘↔10110100100)⩷∴((≮⫘↔11111001101⨸⪁≮⫘↔11101101110)⋝⋈⪟(⨵≀≌≮⫘↔1001100001101)))∧","cot":[{"info":"∂≮⫘↔1100000110011=NaN","layer":3},{"info":"≮⫘↔1101011000110⪄≮⫘↔10110100100=≮⫘↔-11111000000111000001","layer":3},{"info":"NaN⪒≮⫘↔-11111000000111000001=NaN","layer":2},{"info":"≮⫘↔11111001101⨸⪁≮⫘↔11101101110=≮⫘↔1111001110110","layer":3},{"info":"⨵≀≌≮⫘↔1001100001101=≮⫘↔-11100100100111","layer":3},{"info":"≮⫘↔1111001110110⋝⋈⪟≮⫘↔-11100100100111=≮⫘↔1111001110110","layer":2},{"info":"NaN⩷∴≮⫘↔1111001110110=NaN","layer":1},{"info":"NaN∧=NaN","layer":0}]}
{"id":712,"expression_no_base_symbol":"(⊙↵-(⇁⨣⪵($1671$⊭↱$1402$)))∼(($1419$⩚⊴⇥$1913$)≧⫂∧(↩$4966$)≭(↩(⨈⫕$4851$)))","expression":"(⊙↵-(⇁⨣⪵(≮⫘↔11010000111⊭↱≮⫘↔10101111010)))∼((≮⫘↔10110001011⩚⊴⇥≮⫘↔11101111001)≧⫂∧(↩≮⫘↔1001101100110)≭(↩(⨈⫕≮⫘↔1001011110011)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":464,"operation_count":10,"complexity_ratio":46.4,"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":1671,"base":2},"right_expr":{"type":"numeric_atoms","value":1402,"base":2}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1419,"base":2},"right_expr":{"type":"numeric_atoms","value":1913,"base":2}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4966,"base":2}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4851,"base":2}}}}},"used_operators":["DyGG3AbaNP","oWn0xqSxBt","inkyxCbjAn","COABgblf1C","rxpJgHHUmx","Ph9nP6C5qx","NTOWxs364D","jLgFTUHLKL","megm06wKyl"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1671","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=1671, right_input=1402, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-533","layer":3},{"info":"compute unary expreesion, input=-533, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":1},{"info":"number node, value=1419","layer":4},{"info":"number node, value=1913","layer":4},{"info":"compute binary expreesion, left_input=1419, right_input=1913, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3453","layer":3},{"info":"number node, value=4966","layer":4},{"info":"compute unary expreesion, input=4966, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-36948","layer":3},{"info":"compute binary expreesion, left_input=-3453, right_input=-36948, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=33495","layer":2},{"info":"number node, value=4851","layer":4},{"info":"compute unary expreesion, input=4851, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=5096","layer":2},{"info":"compute binary expreesion, left_input=33495, right_input=5096, 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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊙↵-(⇁⨣⪵(≮⫘↔11010000111⊭↱≮⫘↔10101111010)))∼((≮⫘↔10110001011⩚⊴⇥≮⫘↔11101111001)≧⫂∧(↩≮⫘↔1001101100110)≭(↩(⨈⫕≮⫘↔1001011110011)))=NaN","reverse_text":"NaN=(⊙↵-(⇁⨣⪵(≮⫘↔11010000111⊭↱≮⫘↔10101111010)))∼((≮⫘↔10110001011⩚⊴⇥≮⫘↔11101111001)≧⫂∧(↩≮⫘↔1001101100110)≭(↩(⨈⫕≮⫘↔1001011110011)))","cot":[{"info":"≮⫘↔11010000111⊭↱≮⫘↔10101111010=≮⫘↔-1000010101","layer":3},{"info":"⇁⨣⪵≮⫘↔-1000010101=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"≮⫘↔10110001011⩚⊴⇥≮⫘↔11101111001=≮⫘↔-110101111101","layer":3},{"info":"↩≮⫘↔1001101100110=≮⫘↔-1001000001010100","layer":3},{"info":"≮⫘↔-110101111101≧⫂∧≮⫘↔-1001000001010100=≮⫘↔1000001011010111","layer":2},{"info":"⨈⫕≮⫘↔1001011110011=≮⫘↔-10101","layer":3},{"info":"↩≮⫘↔-10101=≮⫘↔1001111101000","layer":2},{"info":"≮⫘↔1000001011010111≭≮⫘↔1001111101000=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":713,"expression_no_base_symbol":"-($2167$⪄$1088$%$1418$⋓$6449$)-$2514$↬$4698$∲⫓($1060$⪨≂$3865$)","expression":"-(≮⫘↔100001110111⪄≮⫘↔10001000000%≮⫘↔10110001010⋓≮⫘↔1100100110001)-≮⫘↔100111010010↬≮⫘↔1001001011010∲⫓(≮⫘↔10000100100⪨≂≮⫘↔111100011001)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":118,"operation_count":8,"complexity_ratio":14.75,"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":2167,"base":2},"right_expr":{"type":"numeric_atoms","value":1088,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1418,"base":2},"right_expr":{"type":"numeric_atoms","value":6449,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2514,"base":2},"right_expr":{"type":"numeric_atoms","value":4698,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1060,"base":2},"right_expr":{"type":"numeric_atoms","value":3865,"base":2}}}}},"used_operators":["t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","SUmda5xLS4","T2fj7uvVaJ","i8ToyICDmI","B5M0gjZbta","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2167","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=2167, right_input=1088, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-321157","layer":3},{"info":"number node, value=1418","layer":4},{"info":"number node, value=6449","layer":4},{"info":"compute binary expreesion, left_input=1418, right_input=6449, 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=-321157, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2514","layer":4},{"info":"number node, value=4698","layer":4},{"info":"compute binary expreesion, left_input=2514, right_input=4698, 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=1060","layer":4},{"info":"number node, value=3865","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=3865, 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=-5508","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5508, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"-(≮⫘↔100001110111⪄≮⫘↔10001000000%≮⫘↔10110001010⋓≮⫘↔1100100110001)-≮⫘↔100111010010↬≮⫘↔1001001011010∲⫓(≮⫘↔10000100100⪨≂≮⫘↔111100011001)=NaN","reverse_text":"NaN=-(≮⫘↔100001110111⪄≮⫘↔10001000000%≮⫘↔10110001010⋓≮⫘↔1100100110001)-≮⫘↔100111010010↬≮⫘↔1001001011010∲⫓(≮⫘↔10000100100⪨≂≮⫘↔111100011001)","cot":[{"info":"≮⫘↔100001110111⪄≮⫘↔10001000000=≮⫘↔-1001110011010000101","layer":3},{"info":"≮⫘↔10110001010⋓≮⫘↔1100100110001=≮⫘↔0","layer":3},{"info":"≮⫘↔-1001110011010000101%≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔100111010010↬≮⫘↔1001001011010=NaN","layer":3},{"info":"≮⫘↔10000100100⪨≂≮⫘↔111100011001=≮⫘↔-1010110000100","layer":3},{"info":"NaN∲⫓≮⫘↔-1010110000100=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":714,"expression_no_base_symbol":"(($1349$⨰$2525$)⪢($1841$⨰$1394$)⊭∹↮)⫸⊐($6505$⨸⪁$1892$)⪮%⊝($2048$⪘⫢$4073$)⋥≓≎($1155$⩨$2161$-$2701$≎⊠⪸$2881$)","expression":"((≮⫘↔10101000101⨰≮⫘↔100111011101)⪢(≮⫘↔11100110001⨰≮⫘↔10101110010)⊭∹↮)⫸⊐(≮⫘↔1100101101001⨸⪁≮⫘↔11101100100)⪮%⊝(≮⫘↔100000000000⪘⫢≮⫘↔111111101001)⋥≓≎(≮⫘↔10010000011⩨≮⫘↔100001110001-≮⫘↔101010001101≎⊠⪸≮⫘↔101101000001)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1896,"operation_count":12,"complexity_ratio":158.0,"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":1349,"base":2},"right_expr":{"type":"numeric_atoms","value":2525,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1841,"base":2},"right_expr":{"type":"numeric_atoms","value":1394,"base":2}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6505,"base":2},"right_expr":{"type":"numeric_atoms","value":1892,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2048,"base":2},"right_expr":{"type":"numeric_atoms","value":4073,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1155,"base":2},"right_expr":{"type":"numeric_atoms","value":2161,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2701,"base":2},"right_expr":{"type":"numeric_atoms","value":2881,"base":2}}}}},"used_operators":["mqXw5SEYmG","xNBdhnnwKq","dWAJyo7jo9","eewbuw0ToL","Qy55tPpLXF","IWmyXbctLI","g55IO6H4Gj","oacrs7FA3X","rysDP5nf3Z","2DlMacCsIx","bJkvcejdHO"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1349","layer":4},{"info":"number node, value=2525","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=2525, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1166","layer":3},{"info":"number node, value=1841","layer":4},{"info":"number node, value=1394","layer":4},{"info":"compute binary expreesion, left_input=1841, right_input=1394, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=457","layer":3},{"info":"compute binary expreesion, left_input=-1166, right_input=457, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":1},{"info":"number node, value=6505","layer":4},{"info":"number node, value=1892","layer":4},{"info":"compute binary expreesion, left_input=6505, right_input=1892, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16794","layer":3},{"info":"number node, value=2048","layer":4},{"info":"number node, value=4073","layer":4},{"info":"compute binary expreesion, left_input=2048, right_input=4073, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3972","layer":3},{"info":"compute binary expreesion, left_input=16794, right_input=3972, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=33904","layer":2},{"info":"number node, value=1155","layer":4},{"info":"number node, value=2161","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=2161, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=2701","layer":4},{"info":"number node, value=2881","layer":4},{"info":"compute binary expreesion, left_input=2701, right_input=2881, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=699086","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=699086, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-699089","layer":2},{"info":"compute binary expreesion, left_input=33904, right_input=-699089, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1432049","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1432049, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10101000101⨰≮⫘↔100111011101)⪢(≮⫘↔11100110001⨰≮⫘↔10101110010)⊭∹↮)⫸⊐(≮⫘↔1100101101001⨸⪁≮⫘↔11101100100)⪮%⊝(≮⫘↔100000000000⪘⫢≮⫘↔111111101001)⋥≓≎(≮⫘↔10010000011⩨≮⫘↔100001110001-≮⫘↔101010001101≎⊠⪸≮⫘↔101101000001)=NaN","reverse_text":"NaN=((≮⫘↔10101000101⨰≮⫘↔100111011101)⪢(≮⫘↔11100110001⨰≮⫘↔10101110010)⊭∹↮)⫸⊐(≮⫘↔1100101101001⨸⪁≮⫘↔11101100100)⪮%⊝(≮⫘↔100000000000⪘⫢≮⫘↔111111101001)⋥≓≎(≮⫘↔10010000011⩨≮⫘↔100001110001-≮⫘↔101010001101≎⊠⪸≮⫘↔101101000001)","cot":[{"info":"≮⫘↔10101000101⨰≮⫘↔100111011101=≮⫘↔-10010001110","layer":3},{"info":"≮⫘↔11100110001⨰≮⫘↔10101110010=≮⫘↔111001001","layer":3},{"info":"≮⫘↔-10010001110⪢≮⫘↔111001001=NaN","layer":2},{"info":"NaN⊭∹↮=NaN","layer":1},{"info":"≮⫘↔1100101101001⨸⪁≮⫘↔11101100100=≮⫘↔100000110011010","layer":3},{"info":"≮⫘↔100000000000⪘⫢≮⫘↔111111101001=≮⫘↔111110000100","layer":3},{"info":"≮⫘↔100000110011010⪮%⊝≮⫘↔111110000100=≮⫘↔1000010001110000","layer":2},{"info":"≮⫘↔10010000011⩨≮⫘↔100001110001=≮⫘↔-11","layer":3},{"info":"≮⫘↔101010001101≎⊠⪸≮⫘↔101101000001=≮⫘↔10101010101011001110","layer":3},{"info":"≮⫘↔-11-≮⫘↔10101010101011001110=≮⫘↔-10101010101011010001","layer":2},{"info":"≮⫘↔1000010001110000⋥≓≎≮⫘↔-10101010101011010001=≮⫘↔-101011101100111110001","layer":1},{"info":"NaN⫸⊐≮⫘↔-101011101100111110001=NaN","layer":0}]}
{"id":715,"expression_no_base_symbol":"($1646$⊴$1588$∀⇚≩($6513$%$2649$)∸)⊠≄⫣","expression":"(≮⫘↔11001101110⊴≮⫘↔11000110100∀⇚≩(≮⫘↔1100101110001%≮⫘↔101001011001)∸)⊠≄⫣","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3266,"operation_count":5,"complexity_ratio":653.2,"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":1646,"base":2},"right_expr":{"type":"numeric_atoms","value":1588,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6513,"base":2},"right_expr":{"type":"numeric_atoms","value":2649,"base":2}}}}},"used_operators":["DIvbN7qnHd","o20kRiQErp","LRNGc0VcxI","Nsiff2A1zJ","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","X99M06cbEe","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1646","layer":4},{"info":"number node, value=1588","layer":4},{"info":"compute binary expreesion, left_input=1646, right_input=1588, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=6513","layer":4},{"info":"number node, value=2649","layer":4},{"info":"compute binary expreesion, left_input=6513, right_input=2649, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1215","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1215, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute unary expreesion, input=177, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11001101110⊴≮⫘↔11000110100∀⇚≩(≮⫘↔1100101110001%≮⫘↔101001011001)∸)⊠≄⫣=≮⫘↔0","reverse_text":"≮⫘↔0=(≮⫘↔11001101110⊴≮⫘↔11000110100∀⇚≩(≮⫘↔1100101110001%≮⫘↔101001011001)∸)⊠≄⫣","cot":[{"info":"≮⫘↔11001101110⊴≮⫘↔11000110100=NaN","layer":3},{"info":"≮⫘↔1100101110001%≮⫘↔101001011001=≮⫘↔10010111111","layer":3},{"info":"NaN∀⇚≩≮⫘↔10010111111=NaN","layer":2},{"info":"NaN∸=≮⫘↔10110001","layer":1},{"info":"≮⫘↔10110001⊠≄⫣=≮⫘↔0","layer":0}]}
{"id":716,"expression_no_base_symbol":"⨈⫕(($1712$⩤)-$1660$∼$3905$)⪢($5720$∀⇚≩$2076$)⪢$4048$⊴$1239$","expression":"⨈⫕((≮⫘↔11010110000⩤)-≮⫘↔11001111100∼≮⫘↔111101000001)⪢(≮⫘↔1011001011000∀⇚≩≮⫘↔100000011100)⪢≮⫘↔111111010000⊴≮⫘↔10011010111","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":42480,"operation_count":8,"complexity_ratio":5310.0,"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":1712,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1660,"base":2},"right_expr":{"type":"numeric_atoms","value":3905,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5720,"base":2},"right_expr":{"type":"numeric_atoms","value":2076,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4048,"base":2},"right_expr":{"type":"numeric_atoms","value":1239,"base":2}}}}},"used_operators":["megm06wKyl","dWAJyo7jo9","rysDP5nf3Z","Z2TMIBDE3Q","DyGG3AbaNP","LRNGc0VcxI","Nsiff2A1zJ"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","X99M06cbEe","dWAJyo7jo9","14qkJME0vr"],"result":"≮⫘↔-10101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1712","layer":4},{"info":"compute unary expreesion, input=1712, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1712","layer":3},{"info":"number node, value=1660","layer":4},{"info":"number node, value=3905","layer":4},{"info":"compute binary expreesion, left_input=1660, right_input=3905, 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=-1712, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=5720","layer":4},{"info":"number node, value=2076","layer":4},{"info":"compute binary expreesion, left_input=5720, right_input=2076, 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=4048","layer":4},{"info":"number node, value=1239","layer":4},{"info":"compute binary expreesion, left_input=4048, right_input=1239, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":2,"result_base":2,"text":"⨈⫕((≮⫘↔11010110000⩤)-≮⫘↔11001111100∼≮⫘↔111101000001)⪢(≮⫘↔1011001011000∀⇚≩≮⫘↔100000011100)⪢≮⫘↔111111010000⊴≮⫘↔10011010111=≮⫘↔-10101","reverse_text":"≮⫘↔-10101=⨈⫕((≮⫘↔11010110000⩤)-≮⫘↔11001111100∼≮⫘↔111101000001)⪢(≮⫘↔1011001011000∀⇚≩≮⫘↔100000011100)⪢≮⫘↔111111010000⊴≮⫘↔10011010111","cot":[{"info":"≮⫘↔11010110000⩤=≮⫘↔-11010110000","layer":3},{"info":"≮⫘↔11001111100∼≮⫘↔111101000001=NaN","layer":3},{"info":"≮⫘↔-11010110000-NaN=NaN","layer":2},{"info":"≮⫘↔1011001011000∀⇚≩≮⫘↔100000011100=NaN","layer":3},{"info":"≮⫘↔111111010000⊴≮⫘↔10011010111=NaN","layer":3},{"info":"NaN⪢NaN=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"⨈⫕NaN=≮⫘↔-10101","layer":0}]}
{"id":717,"expression_no_base_symbol":"((≉(≦∁$3594$))⨟⋌⩍(⩦⩻⨪($1158$∲⫓$1485$)))⪮%⊝($1045$⨟⋌⩍$1356$⫥∨⫟$2521$⨓$6251$-(($4164$+⇶⊼$6451$)⇋≉))","expression":"((≉(≦∁≮⫘↔111000001010))⨟⋌⩍(⩦⩻⨪(≮⫘↔10010000110∲⫓≮⫘↔10111001101)))⪮%⊝(≮⫘↔10000010101⨟⋌⩍≮⫘↔10101001100⫥∨⫟≮⫘↔100111011001⨓≮⫘↔1100001101011-((≮⫘↔1000001000100+⇶⊼≮⫘↔1100100110011)⇋≉))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6435,"operation_count":12,"complexity_ratio":536.25,"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":3594,"base":2}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1158,"base":2},"right_expr":{"type":"numeric_atoms","value":1485,"base":2}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1045,"base":2},"right_expr":{"type":"numeric_atoms","value":1356,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2521,"base":2},"right_expr":{"type":"numeric_atoms","value":6251,"base":2}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4164,"base":2},"right_expr":{"type":"numeric_atoms","value":6451,"base":2}}}}},"used_operators":["IWmyXbctLI","rGHVDoGpnC","e1ybzncUwg","9ICcGScMcE","2td37pGCOC","i8ToyICDmI","rysDP5nf3Z","KYD54nUTWz","3ViojmjbAp","XIabStNQrY","TpPTUOHfaN"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3594","layer":4},{"info":"compute unary expreesion, input=3594, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3594","layer":3},{"info":"compute unary expreesion, input=3594, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4125","layer":2},{"info":"number node, value=1158","layer":4},{"info":"number node, value=1485","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=1485, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=4125, 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=4125","layer":1},{"info":"number node, value=1045","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=1356, 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=2521","layer":4},{"info":"number node, value=6251","layer":4},{"info":"compute binary expreesion, left_input=2521, right_input=6251, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6254","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6254, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=4164","layer":4},{"info":"number node, value=6451","layer":4},{"info":"compute binary expreesion, left_input=4164, right_input=6451, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', 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=4125, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≉(≦∁≮⫘↔111000001010))⨟⋌⩍(⩦⩻⨪(≮⫘↔10010000110∲⫓≮⫘↔10111001101)))⪮%⊝(≮⫘↔10000010101⨟⋌⩍≮⫘↔10101001100⫥∨⫟≮⫘↔100111011001⨓≮⫘↔1100001101011-((≮⫘↔1000001000100+⇶⊼≮⫘↔1100100110011)⇋≉))=NaN","reverse_text":"NaN=((≉(≦∁≮⫘↔111000001010))⨟⋌⩍(⩦⩻⨪(≮⫘↔10010000110∲⫓≮⫘↔10111001101)))⪮%⊝(≮⫘↔10000010101⨟⋌⩍≮⫘↔10101001100⫥∨⫟≮⫘↔100111011001⨓≮⫘↔1100001101011-((≮⫘↔1000001000100+⇶⊼≮⫘↔1100100110011)⇋≉))","cot":[{"info":"≦∁≮⫘↔111000001010=≮⫘↔111000001010","layer":3},{"info":"≉≮⫘↔111000001010=≮⫘↔1000000011101","layer":2},{"info":"≮⫘↔10010000110∲⫓≮⫘↔10111001101=≮⫘↔0","layer":3},{"info":"⩦⩻⨪≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔1000000011101⨟⋌⩍≮⫘↔0=≮⫘↔1000000011101","layer":1},{"info":"≮⫘↔10000010101⨟⋌⩍≮⫘↔10101001100=NaN","layer":3},{"info":"≮⫘↔100111011001⨓≮⫘↔1100001101011=≮⫘↔-1100001101110","layer":3},{"info":"NaN⫥∨⫟≮⫘↔-1100001101110=NaN","layer":2},{"info":"≮⫘↔1000001000100+⇶⊼≮⫘↔1100100110011=NaN","layer":3},{"info":"NaN⇋≉=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"≮⫘↔1000000011101⪮%⊝NaN=NaN","layer":0}]}
{"id":718,"expression_no_base_symbol":"(($1335$⪢$7364$)⊴($6681$⪐)/($3084$⨰$1515$)⪛(∂$2388$))⪒(((⨵≀≌$1285$)⨐⩸⫘($1134$⨵⪆$1551$))⫌⩹⨱)","expression":"((≮⫘↔10100110111⪢≮⫘↔1110011000100)⊴(≮⫘↔1101000011001⪐)/(≮⫘↔110000001100⨰≮⫘↔10111101011)⪛(∂≮⫘↔100101010100))⪒(((⨵≀≌≮⫘↔10100000101)⨐⩸⫘(≮⫘↔10001101110⨵⪆≮⫘↔11000001111))⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":47320,"operation_count":12,"complexity_ratio":3943.3333333333335,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1335,"base":2},"right_expr":{"type":"numeric_atoms","value":7364,"base":2}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":6681,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3084,"base":2},"right_expr":{"type":"numeric_atoms","value":1515,"base":2}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2388,"base":2}}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1285,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1134,"base":2},"right_expr":{"type":"numeric_atoms","value":1551,"base":2}}}}},"used_operators":["f6k1SAg4EE","XhwjNDsVaA","Nsiff2A1zJ","dWAJyo7jo9","eH2TOUuTDT","uFcxV4UQCh","eewbuw0ToL","Uaa54Peajs","EBcxylXtPf","fu6greOZ01","srAu1WTS94","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1335","layer":4},{"info":"number node, value=7364","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=7364, 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=6681","layer":4},{"info":"compute unary expreesion, input=6681, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=13362","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13362, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=3084","layer":4},{"info":"number node, value=1515","layer":4},{"info":"compute binary expreesion, left_input=3084, right_input=1515, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1579","layer":3},{"info":"number node, value=2388","layer":4},{"info":"compute unary expreesion, input=2388, 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=1579, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1285","layer":4},{"info":"compute unary expreesion, input=1285, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3855","layer":3},{"info":"number node, value=1134","layer":4},{"info":"number node, value=1551","layer":4},{"info":"compute binary expreesion, left_input=1134, right_input=1551, 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=-3855, right_input=160, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-163","layer":2},{"info":"compute unary expreesion, input=-163, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1075","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1075, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10100110111⪢≮⫘↔1110011000100)⊴(≮⫘↔1101000011001⪐)/(≮⫘↔110000001100⨰≮⫘↔10111101011)⪛(∂≮⫘↔100101010100))⪒(((⨵≀≌≮⫘↔10100000101)⨐⩸⫘(≮⫘↔10001101110⨵⪆≮⫘↔11000001111))⫌⩹⨱)=NaN","reverse_text":"NaN=((≮⫘↔10100110111⪢≮⫘↔1110011000100)⊴(≮⫘↔1101000011001⪐)/(≮⫘↔110000001100⨰≮⫘↔10111101011)⪛(∂≮⫘↔100101010100))⪒(((⨵≀≌≮⫘↔10100000101)⨐⩸⫘(≮⫘↔10001101110⨵⪆≮⫘↔11000001111))⫌⩹⨱)","cot":[{"info":"≮⫘↔10100110111⪢≮⫘↔1110011000100=NaN","layer":3},{"info":"≮⫘↔1101000011001⪐=≮⫘↔11010000110010","layer":3},{"info":"NaN⊴≮⫘↔11010000110010=NaN","layer":2},{"info":"≮⫘↔110000001100⨰≮⫘↔10111101011=≮⫘↔11000101011","layer":3},{"info":"∂≮⫘↔100101010100=NaN","layer":3},{"info":"≮⫘↔11000101011⪛NaN=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"⨵≀≌≮⫘↔10100000101=≮⫘↔-111100001111","layer":3},{"info":"≮⫘↔10001101110⨵⪆≮⫘↔11000001111=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-111100001111⨐⩸⫘≮⫘↔10100000=≮⫘↔-10100011","layer":2},{"info":"≮⫘↔-10100011⫌⩹⨱=≮⫘↔10000110011","layer":1},{"info":"NaN⪒≮⫘↔10000110011=NaN","layer":0}]}
{"id":719,"expression_no_base_symbol":"($9005$⪮%⊝$6498$/($1409$≦≮≮)↪⪝)↬($4662$⫥∨⫟$1066$⩨$1355$≹⇙⪍$1388$/(↔($2745$≧⫂∧$1101$)))","expression":"(≮⫘↔10001100101101⪮%⊝≮⫘↔1100101100010/(≮⫘↔10110000001≦≮≮)↪⪝)↬(≮⫘↔1001000110110⫥∨⫟≮⫘↔10000101010⩨≮⫘↔10101001011≹⇙⪍≮⫘↔10101101100/(↔(≮⫘↔101010111001≧⫂∧≮⫘↔10001001101)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":296,"operation_count":11,"complexity_ratio":26.90909090909091,"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":9005,"base":2},"right_expr":{"type":"numeric_atoms","value":6498,"base":2}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1409,"base":2}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4662,"base":2},"right_expr":{"type":"numeric_atoms","value":1066,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1355,"base":2},"right_expr":{"type":"numeric_atoms","value":1388,"base":2}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2745,"base":2},"right_expr":{"type":"numeric_atoms","value":1101,"base":2}}}}},"used_operators":["B5M0gjZbta","l07mrZUIn9","XhwjNDsVaA","IWmyXbctLI","D4vGDi5EA2","2DlMacCsIx","KYD54nUTWz","AHs5Up7iyr","ruOEQAzv1W","Ph9nP6C5qx"],"dependent_operators":["rGHVDoGpnC","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=9005","layer":4},{"info":"number node, value=6498","layer":4},{"info":"compute binary expreesion, left_input=9005, right_input=6498, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=18326","layer":3},{"info":"number node, value=1409","layer":4},{"info":"compute unary expreesion, input=1409, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4227","layer":3},{"info":"compute binary expreesion, left_input=18326, right_input=-4227, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-5","layer":2},{"info":"compute unary expreesion, input=-5, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-305910","layer":1},{"info":"number node, value=4662","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=4662, right_input=1066, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1355","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=1388, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=2745","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=2745, right_input=1101, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=628","layer":3},{"info":"compute unary expreesion, input=628, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-355","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-355, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-305910, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10001100101101⪮%⊝≮⫘↔1100101100010/(≮⫘↔10110000001≦≮≮)↪⪝)↬(≮⫘↔1001000110110⫥∨⫟≮⫘↔10000101010⩨≮⫘↔10101001011≹⇙⪍≮⫘↔10101101100/(↔(≮⫘↔101010111001≧⫂∧≮⫘↔10001001101)))=NaN","reverse_text":"NaN=(≮⫘↔10001100101101⪮%⊝≮⫘↔1100101100010/(≮⫘↔10110000001≦≮≮)↪⪝)↬(≮⫘↔1001000110110⫥∨⫟≮⫘↔10000101010⩨≮⫘↔10101001011≹⇙⪍≮⫘↔10101101100/(↔(≮⫘↔101010111001≧⫂∧≮⫘↔10001001101)))","cot":[{"info":"≮⫘↔10001100101101⪮%⊝≮⫘↔1100101100010=≮⫘↔100011110010110","layer":3},{"info":"≮⫘↔10110000001≦≮≮=≮⫘↔-1000010000011","layer":3},{"info":"≮⫘↔100011110010110/≮⫘↔-1000010000011=≮⫘↔-101","layer":2},{"info":"≮⫘↔-101↪⪝=≮⫘↔-1001010101011110110","layer":1},{"info":"≮⫘↔1001000110110⫥∨⫟≮⫘↔10000101010=NaN","layer":3},{"info":"≮⫘↔10101001011≹⇙⪍≮⫘↔10101101100=NaN","layer":3},{"info":"NaN⩨NaN=NaN","layer":2},{"info":"≮⫘↔101010111001≧⫂∧≮⫘↔10001001101=≮⫘↔1001110100","layer":3},{"info":"↔≮⫘↔1001110100=≮⫘↔-101100011","layer":2},{"info":"NaN/≮⫘↔-101100011=NaN","layer":1},{"info":"≮⫘↔-1001010101011110110↬NaN=NaN","layer":0}]}
{"id":720,"expression_no_base_symbol":"↣≠⋷($1242$⪛$6012$⋷$3700$⪢$1061$↪⪝)","expression":"↣≠⋷(≮⫘↔10011011010⪛≮⫘↔1011101111100⋷≮⫘↔111001110100⪢≮⫘↔10000100101↪⪝)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1808,"operation_count":5,"complexity_ratio":361.6,"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":1242,"base":2},"right_expr":{"type":"numeric_atoms","value":6012,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3700,"base":2},"right_expr":{"type":"numeric_atoms","value":1061,"base":2}}}}},"used_operators":["Asc51vEJeQ","l07mrZUIn9","23Mk6UjR3U","uFcxV4UQCh","dWAJyo7jo9"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1242","layer":4},{"info":"number node, value=6012","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=6012, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1242","layer":3},{"info":"number node, value=3700","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=3700, right_input=1061, 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=1242, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↣≠⋷(≮⫘↔10011011010⪛≮⫘↔1011101111100⋷≮⫘↔111001110100⪢≮⫘↔10000100101↪⪝)=NaN","reverse_text":"NaN=↣≠⋷(≮⫘↔10011011010⪛≮⫘↔1011101111100⋷≮⫘↔111001110100⪢≮⫘↔10000100101↪⪝)","cot":[{"info":"≮⫘↔10011011010⪛≮⫘↔1011101111100=≮⫘↔10011011010","layer":3},{"info":"≮⫘↔111001110100⪢≮⫘↔10000100101=NaN","layer":3},{"info":"≮⫘↔10011011010⋷NaN=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":721,"expression_no_base_symbol":"↯⪼(($4466$⪠⩆⊳)⨪↰⇹($4435$⋫)-$3307$⪢$1661$⪛($3812$≫≃))","expression":"↯⪼((≮⫘↔1000101110010⪠⩆⊳)⨪↰⇹(≮⫘↔1000101010011⋫)-≮⫘↔110011101011⪢≮⫘↔11001111101⪛(≮⫘↔111011100100≫≃))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11244,"operation_count":8,"complexity_ratio":1405.5,"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":4466,"base":2}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":4435,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3307,"base":2},"right_expr":{"type":"numeric_atoms","value":1661,"base":2}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3812,"base":2}}}}},"used_operators":["8jW3W4yZS5","rysDP5nf3Z","tmPS8pqC7x","JLbD19bQDL","JL8yIekQnl","uFcxV4UQCh","dWAJyo7jo9","X99M06cbEe"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","k8jYdgA6NY","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"≮⫘↔-10101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4466","layer":4},{"info":"compute unary expreesion, input=4466, 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=4435","layer":4},{"info":"compute unary expreesion, input=4435, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4435","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4435, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":2},{"info":"number node, value=3307","layer":4},{"info":"number node, value=1661","layer":4},{"info":"compute binary expreesion, left_input=3307, right_input=1661, 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=3812","layer":4},{"info":"compute unary expreesion, input=3812, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=9025","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9025, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":2,"result_base":2,"text":"↯⪼((≮⫘↔1000101110010⪠⩆⊳)⨪↰⇹(≮⫘↔1000101010011⋫)-≮⫘↔110011101011⪢≮⫘↔11001111101⪛(≮⫘↔111011100100≫≃))=≮⫘↔-10101","reverse_text":"≮⫘↔-10101=↯⪼((≮⫘↔1000101110010⪠⩆⊳)⨪↰⇹(≮⫘↔1000101010011⋫)-≮⫘↔110011101011⪢≮⫘↔11001111101⪛(≮⫘↔111011100100≫≃))","cot":[{"info":"≮⫘↔1000101110010⪠⩆⊳=≮⫘↔0","layer":3},{"info":"≮⫘↔1000101010011⋫=≮⫘↔1000101010011","layer":3},{"info":"≮⫘↔0⨪↰⇹≮⫘↔1000101010011=≮⫘↔0","layer":2},{"info":"≮⫘↔110011101011⪢≮⫘↔11001111101=NaN","layer":3},{"info":"≮⫘↔111011100100≫≃=≮⫘↔10001101000001","layer":3},{"info":"NaN⪛≮⫘↔10001101000001=NaN","layer":2},{"info":"≮⫘↔0-NaN=NaN","layer":1},{"info":"↯⪼NaN=≮⫘↔-10101","layer":0}]}
{"id":722,"expression_no_base_symbol":"⋗⩬⋾(($7354$⩨$2104$⇼⇔∾($3698$⇋≉))↺($2750$∼$4581$↪⪝))","expression":"⋗⩬⋾((≮⫘↔1110010111010⩨≮⫘↔100000111000⇼⇔∾(≮⫘↔111001110010⇋≉))↺(≮⫘↔101010111110∼≮⫘↔1000111100101↪⪝))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":74,"operation_count":7,"complexity_ratio":10.571428571428571,"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":7354,"base":2},"right_expr":{"type":"numeric_atoms","value":2104,"base":2}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3698,"base":2}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2750,"base":2},"right_expr":{"type":"numeric_atoms","value":4581,"base":2}}}}},"used_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DlMacCsIx","XIabStNQrY","l07mrZUIn9","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7354","layer":4},{"info":"number node, value=2104","layer":4},{"info":"compute binary expreesion, left_input=7354, right_input=2104, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=3698","layer":4},{"info":"compute unary expreesion, input=3698, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=7298","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7298, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=7298","layer":2},{"info":"number node, value=2750","layer":4},{"info":"number node, value=4581","layer":4},{"info":"compute binary expreesion, left_input=2750, right_input=4581, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7298, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⋗⩬⋾((≮⫘↔1110010111010⩨≮⫘↔100000111000⇼⇔∾(≮⫘↔111001110010⇋≉))↺(≮⫘↔101010111110∼≮⫘↔1000111100101↪⪝))=NaN","reverse_text":"NaN=⋗⩬⋾((≮⫘↔1110010111010⩨≮⫘↔100000111000⇼⇔∾(≮⫘↔111001110010⇋≉))↺(≮⫘↔101010111110∼≮⫘↔1000111100101↪⪝))","cot":[{"info":"≮⫘↔1110010111010⩨≮⫘↔100000111000=≮⫘↔0","layer":3},{"info":"≮⫘↔111001110010⇋≉=≮⫘↔1110010000010","layer":3},{"info":"≮⫘↔0⇼⇔∾≮⫘↔1110010000010=≮⫘↔1110010000010","layer":2},{"info":"≮⫘↔101010111110∼≮⫘↔1000111100101=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"≮⫘↔1110010000010↺NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":723,"expression_no_base_symbol":"((($1193$⩤)⫡⨏($1119$⊠≄⫣))⨽(($4027$∧)⊉≛↸$1154$⋝⋈⪟$4691$))≫≃","expression":"(((≮⫘↔10010101001⩤)⫡⨏(≮⫘↔10001011111⊠≄⫣))⨽((≮⫘↔111110111011∧)⊉≛↸≮⫘↔10010000010⋝⋈⪟≮⫘↔1001001010011))≫≃","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5220,"operation_count":8,"complexity_ratio":652.5,"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":1193,"base":2}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1119,"base":2}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":4027,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1154,"base":2},"right_expr":{"type":"numeric_atoms","value":4691,"base":2}}}}},"used_operators":["X99M06cbEe","8HhzD0ZcuI","QMFrweE19q","Z2TMIBDE3Q","DIvbN7qnHd","DZ8iAZOCBD","z63VuFQld9","2DDjHMKMc0"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1193","layer":4},{"info":"compute unary expreesion, input=1193, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1193","layer":3},{"info":"number node, value=1119","layer":4},{"info":"compute unary expreesion, input=1119, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1193, 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=-5182","layer":2},{"info":"number node, value=4027","layer":4},{"info":"compute unary expreesion, input=4027, 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=1154","layer":4},{"info":"number node, value=4691","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=4691, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1154","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1154, 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=-5182, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10010101001⩤)⫡⨏(≮⫘↔10001011111⊠≄⫣))⨽((≮⫘↔111110111011∧)⊉≛↸≮⫘↔10010000010⋝⋈⪟≮⫘↔1001001010011))≫≃=NaN","reverse_text":"NaN=(((≮⫘↔10010101001⩤)⫡⨏(≮⫘↔10001011111⊠≄⫣))⨽((≮⫘↔111110111011∧)⊉≛↸≮⫘↔10010000010⋝⋈⪟≮⫘↔1001001010011))≫≃","cot":[{"info":"≮⫘↔10010101001⩤=≮⫘↔-10010101001","layer":3},{"info":"≮⫘↔10001011111⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔-10010101001⫡⨏≮⫘↔0=≮⫘↔-1010000111110","layer":2},{"info":"≮⫘↔111110111011∧=NaN","layer":3},{"info":"≮⫘↔10010000010⋝⋈⪟≮⫘↔1001001010011=≮⫘↔10010000010","layer":3},{"info":"NaN⊉≛↸≮⫘↔10010000010=NaN","layer":2},{"info":"≮⫘↔-1010000111110⨽NaN=NaN","layer":1},{"info":"NaN≫≃=NaN","layer":0}]}
{"id":724,"expression_no_base_symbol":"(↔(⨰⫟⨤($1269$⪨≂$3455$)))⇼⇔∾(⩦⩻⨪(($4283$/$3306$)⊉≛↸(⨵≀≌$3233$)))","expression":"(↔(⨰⫟⨤(≮⫘↔10011110101⪨≂≮⫘↔110101111111)))⇼⇔∾(⩦⩻⨪((≮⫘↔1000010111011/≮⫘↔110011101010)⊉≛↸(⨵≀≌≮⫘↔110010100001)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":18010,"operation_count":8,"complexity_ratio":2251.25,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1269,"base":2},"right_expr":{"type":"numeric_atoms","value":3455,"base":2}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4283,"base":2},"right_expr":{"type":"numeric_atoms","value":3306,"base":2}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3233,"base":2}}}}},"used_operators":["tifHPKVTfV","ruOEQAzv1W","Tw270M8GLb","sdazOOVcIp","2td37pGCOC","DZ8iAZOCBD","XhwjNDsVaA","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"≮⫘↔10001000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1269","layer":4},{"info":"number node, value=3455","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=3455, 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=-4270","layer":3},{"info":"compute unary expreesion, input=-4270, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒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":"number node, value=4283","layer":4},{"info":"number node, value=3306","layer":4},{"info":"compute binary expreesion, left_input=4283, right_input=3306, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=3233","layer":4},{"info":"compute unary expreesion, input=3233, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-9699","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=-9699, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2","layer":2},{"info":"compute unary expreesion, input=2, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=2, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=136","layer":0}],"base":2,"result_base":2,"text":"(↔(⨰⫟⨤(≮⫘↔10011110101⪨≂≮⫘↔110101111111)))⇼⇔∾(⩦⩻⨪((≮⫘↔1000010111011/≮⫘↔110011101010)⊉≛↸(⨵≀≌≮⫘↔110010100001)))=≮⫘↔10001000","reverse_text":"≮⫘↔10001000=(↔(⨰⫟⨤(≮⫘↔10011110101⪨≂≮⫘↔110101111111)))⇼⇔∾(⩦⩻⨪((≮⫘↔1000010111011/≮⫘↔110011101010)⊉≛↸(⨵≀≌≮⫘↔110010100001)))","cot":[{"info":"≮⫘↔10011110101⪨≂≮⫘↔110101111111=≮⫘↔-1000010101110","layer":3},{"info":"⨰⫟⨤≮⫘↔-1000010101110=NaN","layer":2},{"info":"↔NaN=≮⫘↔-10000110","layer":1},{"info":"≮⫘↔1000010111011/≮⫘↔110011101010=≮⫘↔1","layer":3},{"info":"⨵≀≌≮⫘↔110010100001=≮⫘↔-10010111100011","layer":3},{"info":"≮⫘↔1⊉≛↸≮⫘↔-10010111100011=≮⫘↔10","layer":2},{"info":"⩦⩻⨪≮⫘↔10=≮⫘↔10","layer":1},{"info":"≮⫘↔-10000110⇼⇔∾≮⫘↔10=≮⫘↔10001000","layer":0}]}
{"id":725,"expression_no_base_symbol":"⨑⩽⪐((⨈⫕$5334$⨐⩸⫘$7235$)⊭↱($2819$⫥∨⫟$2403$)∑⇟⊟($4709$⇼⇔∾$1946$))","expression":"⨑⩽⪐((⨈⫕≮⫘↔1010011010110⨐⩸⫘≮⫘↔1110001000011)⊭↱(≮⫘↔101100000011⫥∨⫟≮⫘↔100101100011)∑⇟⊟(≮⫘↔1001001100101⇼⇔∾≮⫘↔11110011010))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":557,"operation_count":7,"complexity_ratio":79.57142857142857,"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":5334,"base":2},"right_expr":{"type":"numeric_atoms","value":7235,"base":2}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2819,"base":2},"right_expr":{"type":"numeric_atoms","value":2403,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4709,"base":2},"right_expr":{"type":"numeric_atoms","value":1946,"base":2}}}}},"used_operators":["AF7qkfDlqP","COABgblf1C","megm06wKyl","fu6greOZ01","U7g4x0WXJJ","KYD54nUTWz","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=5334","layer":4},{"info":"number node, value=7235","layer":4},{"info":"compute binary expreesion, left_input=5334, right_input=7235, 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 = 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=2819","layer":4},{"info":"number node, value=2403","layer":4},{"info":"compute binary expreesion, left_input=2819, right_input=2403, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4709","layer":4},{"info":"number node, value=1946","layer":4},{"info":"compute binary expreesion, left_input=4709, right_input=1946, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2763","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2763, 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=-21, 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 = 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":2,"result_base":2,"text":"⨑⩽⪐((⨈⫕≮⫘↔1010011010110⨐⩸⫘≮⫘↔1110001000011)⊭↱(≮⫘↔101100000011⫥∨⫟≮⫘↔100101100011)∑⇟⊟(≮⫘↔1001001100101⇼⇔∾≮⫘↔11110011010))=NaN","reverse_text":"NaN=⨑⩽⪐((⨈⫕≮⫘↔1010011010110⨐⩸⫘≮⫘↔1110001000011)⊭↱(≮⫘↔101100000011⫥∨⫟≮⫘↔100101100011)∑⇟⊟(≮⫘↔1001001100101⇼⇔∾≮⫘↔11110011010))","cot":[{"info":"≮⫘↔1010011010110⨐⩸⫘≮⫘↔1110001000011=NaN","layer":3},{"info":"⨈⫕NaN=≮⫘↔-10101","layer":2},{"info":"≮⫘↔101100000011⫥∨⫟≮⫘↔100101100011=NaN","layer":3},{"info":"≮⫘↔1001001100101⇼⇔∾≮⫘↔11110011010=≮⫘↔-101011001011","layer":3},{"info":"NaN∑⇟⊟≮⫘↔-101011001011=NaN","layer":2},{"info":"≮⫘↔-10101⊭↱NaN=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":726,"expression_no_base_symbol":"((⊙↵-$1187$)↺($4073$↺$4552$))⨓(⇁⨣⪵(⨵≀≌$2041$))⩨($1495$⨰$7307$⨐⩸⫘$2317$≭$2160$)⨐⩸⫘($1509$⇼⇔∾$1792$)⨪↰⇹($4969$%$1150$)","expression":"((⊙↵-≮⫘↔10010100011)↺(≮⫘↔111111101001↺≮⫘↔1000111001000))⨓(⇁⨣⪵(⨵≀≌≮⫘↔11111111001))⩨(≮⫘↔10111010111⨰≮⫘↔1110010001011⨐⩸⫘≮⫘↔100100001101≭≮⫘↔100001110000)⨐⩸⫘(≮⫘↔10111100101⇼⇔∾≮⫘↔11100000000)⨪↰⇹(≮⫘↔1001101101001%≮⫘↔10001111110)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":83336,"operation_count":14,"complexity_ratio":5952.571428571428,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1187,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4073,"base":2},"right_expr":{"type":"numeric_atoms","value":4552,"base":2}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2041,"base":2}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1495,"base":2},"right_expr":{"type":"numeric_atoms","value":7307,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2317,"base":2},"right_expr":{"type":"numeric_atoms","value":2160,"base":2}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1509,"base":2},"right_expr":{"type":"numeric_atoms","value":1792,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4969,"base":2},"right_expr":{"type":"numeric_atoms","value":1150,"base":2}}}}},"used_operators":["2DlMacCsIx","3ViojmjbAp","7j4O788W3g","oWn0xqSxBt","inkyxCbjAn","srAu1WTS94","fu6greOZ01","eewbuw0ToL","rxpJgHHUmx","tmPS8pqC7x","tifHPKVTfV","k8jYdgA6NY"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","B5M0gjZbta","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1187","layer":4},{"info":"compute unary expreesion, input=1187, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=4073","layer":4},{"info":"number node, value=4552","layer":4},{"info":"compute binary expreesion, left_input=4073, right_input=4552, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4552","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=4552, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4552","layer":2},{"info":"number node, value=2041","layer":4},{"info":"compute unary expreesion, input=2041, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6123","layer":3},{"info":"compute unary expreesion, input=-6123, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4552, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=1495","layer":4},{"info":"number node, value=7307","layer":4},{"info":"compute binary expreesion, left_input=1495, right_input=7307, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5802","layer":3},{"info":"number node, value=2317","layer":4},{"info":"number node, value=2160","layer":4},{"info":"compute binary expreesion, left_input=2317, right_input=2160, 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=-5802, 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=1509","layer":4},{"info":"number node, value=1792","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=1792, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=283","layer":3},{"info":"number node, value=4969","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=4969, right_input=1150, op_id = k8jYdgA6NY binary_op_definition= 'None', output=369","layer":3},{"info":"compute binary expreesion, left_input=283, right_input=369, 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=283","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=283, 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=-286","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-286, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⊙↵-≮⫘↔10010100011)↺(≮⫘↔111111101001↺≮⫘↔1000111001000))⨓(⇁⨣⪵(⨵≀≌≮⫘↔11111111001))⩨(≮⫘↔10111010111⨰≮⫘↔1110010001011⨐⩸⫘≮⫘↔100100001101≭≮⫘↔100001110000)⨐⩸⫘(≮⫘↔10111100101⇼⇔∾≮⫘↔11100000000)⨪↰⇹(≮⫘↔1001101101001%≮⫘↔10001111110)=NaN","reverse_text":"NaN=((⊙↵-≮⫘↔10010100011)↺(≮⫘↔111111101001↺≮⫘↔1000111001000))⨓(⇁⨣⪵(⨵≀≌≮⫘↔11111111001))⩨(≮⫘↔10111010111⨰≮⫘↔1110010001011⨐⩸⫘≮⫘↔100100001101≭≮⫘↔100001110000)⨐⩸⫘(≮⫘↔10111100101⇼⇔∾≮⫘↔11100000000)⨪↰⇹(≮⫘↔1001101101001%≮⫘↔10001111110)","cot":[{"info":"⊙↵-≮⫘↔10010100011=≮⫘↔-1","layer":3},{"info":"≮⫘↔111111101001↺≮⫘↔1000111001000=≮⫘↔1000111001000","layer":3},{"info":"≮⫘↔-1↺≮⫘↔1000111001000=≮⫘↔1000111001000","layer":2},{"info":"⨵≀≌≮⫘↔11111111001=≮⫘↔-1011111101011","layer":3},{"info":"⇁⨣⪵≮⫘↔-1011111101011=NaN","layer":2},{"info":"≮⫘↔1000111001000⨓NaN=NaN","layer":1},{"info":"≮⫘↔10111010111⨰≮⫘↔1110010001011=≮⫘↔-1011010101010","layer":3},{"info":"≮⫘↔100100001101≭≮⫘↔100001110000=NaN","layer":3},{"info":"≮⫘↔-1011010101010⨐⩸⫘NaN=NaN","layer":2},{"info":"≮⫘↔10111100101⇼⇔∾≮⫘↔11100000000=≮⫘↔100011011","layer":3},{"info":"≮⫘↔1001101101001%≮⫘↔10001111110=≮⫘↔101110001","layer":3},{"info":"≮⫘↔100011011⨪↰⇹≮⫘↔101110001=≮⫘↔100011011","layer":2},{"info":"NaN⨐⩸⫘≮⫘↔100011011=≮⫘↔-100011110","layer":1},{"info":"NaN⩨≮⫘↔-100011110=NaN","layer":0}]}
{"id":727,"expression_no_base_symbol":"(($3422$∼$6319$⨽($9375$⊭∹↮))⊘)⩚⊴⇥(($3355$⨵⪆$1448$)↙$4829$⨰$1586$↺($2471$↙$1069$)∼($1924$↺$1558$))","expression":"((≮⫘↔110101011110∼≮⫘↔1100010101111⨽(≮⫘↔10010010011111⊭∹↮))⊘)⩚⊴⇥((≮⫘↔110100011011⨵⪆≮⫘↔10110101000)↙≮⫘↔1001011011101⨰≮⫘↔11000110010↺(≮⫘↔100110100111↙≮⫘↔10000101101)∼(≮⫘↔11110000100↺≮⫘↔11000010110))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4512,"operation_count":12,"complexity_ratio":376.0,"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":3422,"base":2},"right_expr":{"type":"numeric_atoms","value":6319,"base":2}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":9375,"base":2}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3355,"base":2},"right_expr":{"type":"numeric_atoms","value":1448,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4829,"base":2},"right_expr":{"type":"numeric_atoms","value":1586,"base":2}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2471,"base":2},"right_expr":{"type":"numeric_atoms","value":1069,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1924,"base":2},"right_expr":{"type":"numeric_atoms","value":1558,"base":2}}}}},"used_operators":["NTOWxs364D","gu96TGCTMs","8HhzD0ZcuI","DyGG3AbaNP","xNBdhnnwKq","7j4O788W3g","yyfyN0ffXY","2DQ55sFlQl","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3422","layer":4},{"info":"number node, value=6319","layer":4},{"info":"compute binary expreesion, left_input=3422, right_input=6319, 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=9375","layer":4},{"info":"compute unary expreesion, input=9375, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=18750","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=18750, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":1},{"info":"number node, value=3355","layer":4},{"info":"number node, value=1448","layer":4},{"info":"compute binary expreesion, left_input=3355, right_input=1448, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4829","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=4829, right_input=1586, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3253","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=3253, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9759","layer":2},{"info":"number node, value=2471","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=2471, right_input=1069, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3207","layer":3},{"info":"number node, value=1924","layer":4},{"info":"number node, value=1558","layer":4},{"info":"compute binary expreesion, left_input=1924, right_input=1558, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1558","layer":3},{"info":"compute binary expreesion, left_input=-3207, right_input=1558, 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=-9759, 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 binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110101011110∼≮⫘↔1100010101111⨽(≮⫘↔10010010011111⊭∹↮))⊘)⩚⊴⇥((≮⫘↔110100011011⨵⪆≮⫘↔10110101000)↙≮⫘↔1001011011101⨰≮⫘↔11000110010↺(≮⫘↔100110100111↙≮⫘↔10000101101)∼(≮⫘↔11110000100↺≮⫘↔11000010110))=NaN","reverse_text":"NaN=((≮⫘↔110101011110∼≮⫘↔1100010101111⨽(≮⫘↔10010010011111⊭∹↮))⊘)⩚⊴⇥((≮⫘↔110100011011⨵⪆≮⫘↔10110101000)↙≮⫘↔1001011011101⨰≮⫘↔11000110010↺(≮⫘↔100110100111↙≮⫘↔10000101101)∼(≮⫘↔11110000100↺≮⫘↔11000010110))","cot":[{"info":"≮⫘↔110101011110∼≮⫘↔1100010101111=NaN","layer":3},{"info":"≮⫘↔10010010011111⊭∹↮=≮⫘↔100100100111110","layer":3},{"info":"NaN⨽≮⫘↔100100100111110=NaN","layer":2},{"info":"NaN⊘=NaN","layer":1},{"info":"≮⫘↔110100011011⨵⪆≮⫘↔10110101000=≮⫘↔10100000","layer":3},{"info":"≮⫘↔1001011011101⨰≮⫘↔11000110010=≮⫘↔110010110101","layer":3},{"info":"≮⫘↔10100000↙≮⫘↔110010110101=≮⫘↔-10011000011111","layer":2},{"info":"≮⫘↔100110100111↙≮⫘↔10000101101=≮⫘↔-110010000111","layer":3},{"info":"≮⫘↔11110000100↺≮⫘↔11000010110=≮⫘↔11000010110","layer":3},{"info":"≮⫘↔-110010000111∼≮⫘↔11000010110=NaN","layer":2},{"info":"≮⫘↔-10011000011111↺NaN=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":728,"expression_no_base_symbol":"∥⊫(((+⊝⨔$4463$)≭$1308$⪛$3595$)≦≮≮)","expression":"∥⊫(((+⊝⨔≮⫘↔1000101101111)≭≮⫘↔10100011100⪛≮⫘↔111000001011)≦≮≮)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":51,"operation_count":5,"complexity_ratio":10.2,"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":4463,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1308,"base":2},"right_expr":{"type":"numeric_atoms","value":3595,"base":2}}}}},"used_operators":["P8v4zCKN1o","D4vGDi5EA2","rxpJgHHUmx","DhbWaqg5eL","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=4463","layer":4},{"info":"compute unary expreesion, input=4463, 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=1308","layer":4},{"info":"number node, value=3595","layer":4},{"info":"compute binary expreesion, left_input=1308, right_input=3595, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1308","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=1308, 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"∥⊫(((+⊝⨔≮⫘↔1000101101111)≭≮⫘↔10100011100⪛≮⫘↔111000001011)≦≮≮)=NaN","reverse_text":"NaN=∥⊫(((+⊝⨔≮⫘↔1000101101111)≭≮⫘↔10100011100⪛≮⫘↔111000001011)≦≮≮)","cot":[{"info":"+⊝⨔≮⫘↔1000101101111=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔10100011100⪛≮⫘↔111000001011=≮⫘↔10100011100","layer":3},{"info":"≮⫘↔10111110010≭≮⫘↔10100011100=NaN","layer":2},{"info":"NaN≦≮≮=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
{"id":729,"expression_no_base_symbol":"(($5200$⋳⪒$5719$)⨰$4854$⨪↰⇹$5339$/(⨰⫟⨤$2427$)⪒$2459$∀⇚≩$1821$)⨪↰⇹(⇁⨣⪵($5546$⋳⪒$3903$)⨰($3002$⩚⊴⇥$2220$))","expression":"((≮⫘↔1010001010000⋳⪒≮⫘↔1011001010111)⨰≮⫘↔1001011110110⨪↰⇹≮⫘↔1010011011011/(⨰⫟⨤≮⫘↔100101111011)⪒≮⫘↔100110011011∀⇚≩≮⫘↔11100011101)⨪↰⇹(⇁⨣⪵(≮⫘↔1010110101010⋳⪒≮⫘↔111100111111)⨰(≮⫘↔101110111010⩚⊴⇥≮⫘↔100010101100))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":30970,"operation_count":12,"complexity_ratio":2580.8333333333335,"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":5200,"base":2},"right_expr":{"type":"numeric_atoms","value":5719,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4854,"base":2},"right_expr":{"type":"numeric_atoms","value":5339,"base":2}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2427,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2459,"base":2},"right_expr":{"type":"numeric_atoms","value":1821,"base":2}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5546,"base":2},"right_expr":{"type":"numeric_atoms","value":3903,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3002,"base":2},"right_expr":{"type":"numeric_atoms","value":2220,"base":2}}}}},"used_operators":["tmPS8pqC7x","XhwjNDsVaA","eewbuw0ToL","12rbrZMWeM","f6k1SAg4EE","Tw270M8GLb","LRNGc0VcxI","inkyxCbjAn","NTOWxs364D"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","X99M06cbEe","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5200","layer":4},{"info":"number node, value=5719","layer":4},{"info":"compute binary expreesion, left_input=5200, right_input=5719, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4394","layer":3},{"info":"number node, value=4854","layer":4},{"info":"number node, value=5339","layer":4},{"info":"compute binary expreesion, left_input=4854, right_input=5339, 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=4854","layer":3},{"info":"compute binary expreesion, left_input=4394, right_input=4854, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-450","layer":2},{"info":"number node, value=2427","layer":4},{"info":"compute unary expreesion, input=2427, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=2459","layer":4},{"info":"number node, value=1821","layer":4},{"info":"compute binary expreesion, left_input=2459, right_input=1821, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-450, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5546","layer":4},{"info":"number node, value=3903","layer":4},{"info":"compute binary expreesion, left_input=5546, right_input=3903, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6902","layer":3},{"info":"number node, value=3002","layer":4},{"info":"number node, value=2220","layer":4},{"info":"compute binary expreesion, left_input=3002, right_input=2220, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5343","layer":3},{"info":"compute binary expreesion, left_input=6902, right_input=-5343, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=12255","layer":2},{"info":"compute unary expreesion, input=12255, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010001010000⋳⪒≮⫘↔1011001010111)⨰≮⫘↔1001011110110⨪↰⇹≮⫘↔1010011011011/(⨰⫟⨤≮⫘↔100101111011)⪒≮⫘↔100110011011∀⇚≩≮⫘↔11100011101)⨪↰⇹(⇁⨣⪵(≮⫘↔1010110101010⋳⪒≮⫘↔111100111111)⨰(≮⫘↔101110111010⩚⊴⇥≮⫘↔100010101100))=NaN","reverse_text":"NaN=((≮⫘↔1010001010000⋳⪒≮⫘↔1011001010111)⨰≮⫘↔1001011110110⨪↰⇹≮⫘↔1010011011011/(⨰⫟⨤≮⫘↔100101111011)⪒≮⫘↔100110011011∀⇚≩≮⫘↔11100011101)⨪↰⇹(⇁⨣⪵(≮⫘↔1010110101010⋳⪒≮⫘↔111100111111)⨰(≮⫘↔101110111010⩚⊴⇥≮⫘↔100010101100))","cot":[{"info":"≮⫘↔1010001010000⋳⪒≮⫘↔1011001010111=≮⫘↔1000100101010","layer":3},{"info":"≮⫘↔1001011110110⨪↰⇹≮⫘↔1010011011011=≮⫘↔1001011110110","layer":3},{"info":"≮⫘↔1000100101010⨰≮⫘↔1001011110110=≮⫘↔-111000010","layer":2},{"info":"⨰⫟⨤≮⫘↔100101111011=NaN","layer":3},{"info":"≮⫘↔100110011011∀⇚≩≮⫘↔11100011101=NaN","layer":3},{"info":"NaN⪒NaN=NaN","layer":2},{"info":"≮⫘↔-111000010/NaN=NaN","layer":1},{"info":"≮⫘↔1010110101010⋳⪒≮⫘↔111100111111=≮⫘↔1101011110110","layer":3},{"info":"≮⫘↔101110111010⩚⊴⇥≮⫘↔100010101100=≮⫘↔-1010011011111","layer":3},{"info":"≮⫘↔1101011110110⨰≮⫘↔-1010011011111=≮⫘↔10111111011111","layer":2},{"info":"⇁⨣⪵≮⫘↔10111111011111=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":730,"expression_no_base_symbol":"∂(($1922$⋓$1815$⋷($1294$⫡⨏$2887$))≋⫹)","expression":"∂((≮⫘↔11110000010⋓≮⫘↔11100010111⋷(≮⫘↔10100001110⫡⨏≮⫘↔101101000111))≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":442,"operation_count":5,"complexity_ratio":88.4,"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":1922,"base":2},"right_expr":{"type":"numeric_atoms","value":1815,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1294,"base":2},"right_expr":{"type":"numeric_atoms","value":2887,"base":2}}}}},"used_operators":["Uaa54Peajs","N41Kp7NANJ","23Mk6UjR3U","T2fj7uvVaJ","QMFrweE19q"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-100001000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1922","layer":4},{"info":"number node, value=1815","layer":4},{"info":"compute binary expreesion, left_input=1922, right_input=1815, 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=1294","layer":4},{"info":"number node, value=2887","layer":4},{"info":"compute binary expreesion, left_input=1294, right_input=2887, 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=13027","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=13027, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=0","layer":1},{"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":0}],"base":2,"result_base":2,"text":"∂((≮⫘↔11110000010⋓≮⫘↔11100010111⋷(≮⫘↔10100001110⫡⨏≮⫘↔101101000111))≋⫹)=≮⫘↔-100001000","reverse_text":"≮⫘↔-100001000=∂((≮⫘↔11110000010⋓≮⫘↔11100010111⋷(≮⫘↔10100001110⫡⨏≮⫘↔101101000111))≋⫹)","cot":[{"info":"≮⫘↔11110000010⋓≮⫘↔11100010111=≮⫘↔0","layer":3},{"info":"≮⫘↔10100001110⫡⨏≮⫘↔101101000111=≮⫘↔11001011100011","layer":3},{"info":"≮⫘↔0⋷≮⫘↔11001011100011=≮⫘↔0","layer":2},{"info":"≮⫘↔0≋⫹=≮⫘↔0","layer":1},{"info":"∂≮⫘↔0=≮⫘↔-100001000","layer":0}]}
{"id":731,"expression_no_base_symbol":"(($2667$∧)⪒$1028$↺$3070$)↬($4087$⊴$6490$)≹⇙⪍($2090$⋫)⊦⊿","expression":"((≮⫘↔101001101011∧)⪒≮⫘↔10000000100↺≮⫘↔101111111110)↬(≮⫘↔111111110111⊴≮⫘↔1100101011010)≹⇙⪍(≮⫘↔100000101010⋫)⊦⊿","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8605,"operation_count":8,"complexity_ratio":1075.625,"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":2667,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1028,"base":2},"right_expr":{"type":"numeric_atoms","value":3070,"base":2}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4087,"base":2},"right_expr":{"type":"numeric_atoms","value":6490,"base":2}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2090,"base":2}}}}},"used_operators":["14qkJME0vr","B5M0gjZbta","f6k1SAg4EE","z63VuFQld9","7j4O788W3g","AHs5Up7iyr","Nsiff2A1zJ","JL8yIekQnl"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=2667","layer":4},{"info":"compute unary expreesion, input=2667, 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=1028","layer":4},{"info":"number node, value=3070","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=3070, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3070","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3070, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=4087","layer":4},{"info":"number node, value=6490","layer":4},{"info":"compute binary expreesion, left_input=4087, right_input=6490, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2090","layer":4},{"info":"compute unary expreesion, input=2090, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2090","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2090, 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 = 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101001101011∧)⪒≮⫘↔10000000100↺≮⫘↔101111111110)↬(≮⫘↔111111110111⊴≮⫘↔1100101011010)≹⇙⪍(≮⫘↔100000101010⋫)⊦⊿=NaN","reverse_text":"NaN=((≮⫘↔101001101011∧)⪒≮⫘↔10000000100↺≮⫘↔101111111110)↬(≮⫘↔111111110111⊴≮⫘↔1100101011010)≹⇙⪍(≮⫘↔100000101010⋫)⊦⊿","cot":[{"info":"≮⫘↔101001101011∧=NaN","layer":3},{"info":"≮⫘↔10000000100↺≮⫘↔101111111110=≮⫘↔101111111110","layer":3},{"info":"NaN⪒≮⫘↔101111111110=NaN","layer":2},{"info":"≮⫘↔111111110111⊴≮⫘↔1100101011010=NaN","layer":3},{"info":"≮⫘↔100000101010⋫=≮⫘↔100000101010","layer":3},{"info":"NaN≹⇙⪍≮⫘↔100000101010=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":732,"expression_no_base_symbol":"⩦⩻⨪(⇁⨣⪵($5992$⋝⋈⪟$4607$)∀⇚≩($1359$≭$6249$))","expression":"⩦⩻⨪(⇁⨣⪵(≮⫘↔1011101101000⋝⋈⪟≮⫘↔1000111111111)∀⇚≩(≮⫘↔10101001111≭≮⫘↔1100001101001))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":41952,"operation_count":5,"complexity_ratio":8390.4,"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":5992,"base":2},"right_expr":{"type":"numeric_atoms","value":4607,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1359,"base":2},"right_expr":{"type":"numeric_atoms","value":6249,"base":2}}}}},"used_operators":["2td37pGCOC","inkyxCbjAn","LRNGc0VcxI","2DDjHMKMc0","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=5992","layer":4},{"info":"number node, value=4607","layer":4},{"info":"compute binary expreesion, left_input=5992, right_input=4607, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5992","layer":3},{"info":"number node, value=1359","layer":4},{"info":"number node, value=6249","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=6249, 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=5992, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⩦⩻⨪(⇁⨣⪵(≮⫘↔1011101101000⋝⋈⪟≮⫘↔1000111111111)∀⇚≩(≮⫘↔10101001111≭≮⫘↔1100001101001))=NaN","reverse_text":"NaN=⩦⩻⨪(⇁⨣⪵(≮⫘↔1011101101000⋝⋈⪟≮⫘↔1000111111111)∀⇚≩(≮⫘↔10101001111≭≮⫘↔1100001101001))","cot":[{"info":"≮⫘↔1011101101000⋝⋈⪟≮⫘↔1000111111111=≮⫘↔1011101101000","layer":3},{"info":"≮⫘↔10101001111≭≮⫘↔1100001101001=NaN","layer":3},{"info":"≮⫘↔1011101101000∀⇚≩NaN=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":733,"expression_no_base_symbol":"(↔(($1618$⪄$5948$)⨰(⨈⫕$6940$)))≎⊠⪸($5155$∑⇟⊟$3271$⨸⪁$1301$⪛$5569$*$1708$⫥∨⫟$1249$⫸⊐($1054$⫡⨏$1837$))","expression":"(↔((≮⫘↔11001010010⪄≮⫘↔1011100111100)⨰(⨈⫕≮⫘↔1101100011100)))≎⊠⪸(≮⫘↔1010000100011∑⇟⊟≮⫘↔110011000111⨸⪁≮⫘↔10100010101⪛≮⫘↔1010111000001*≮⫘↔11010101100⫥∨⫟≮⫘↔10011100001⫸⊐(≮⫘↔10000011110⫡⨏≮⫘↔11100101101))","highest_n_order":5,"priority_hierarchical_complexity":9,"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":1618,"base":2},"right_expr":{"type":"numeric_atoms","value":5948,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":6940,"base":2}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5155,"base":2},"right_expr":{"type":"numeric_atoms","value":3271,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1301,"base":2},"right_expr":{"type":"numeric_atoms","value":5569,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1708,"base":2},"right_expr":{"type":"numeric_atoms","value":1249,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1054,"base":2},"right_expr":{"type":"numeric_atoms","value":1837,"base":2}}}}},"used_operators":["bJkvcejdHO","ruOEQAzv1W","eewbuw0ToL","SUmda5xLS4","megm06wKyl","9HNa5Wba9A","g55IO6H4Gj","U7g4x0WXJJ","uFcxV4UQCh","mqXw5SEYmG","KYD54nUTWz","QMFrweE19q"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1618","layer":4},{"info":"number node, value=5948","layer":4},{"info":"compute binary expreesion, left_input=1618, right_input=5948, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-259345","layer":3},{"info":"number node, value=6940","layer":4},{"info":"compute unary expreesion, input=6940, 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=-259345, right_input=-21, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-259314","layer":2},{"info":"compute unary expreesion, input=-259314, 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=5155","layer":4},{"info":"number node, value=3271","layer":4},{"info":"compute binary expreesion, left_input=5155, right_input=3271, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1301","layer":4},{"info":"number node, value=5569","layer":4},{"info":"compute binary expreesion, left_input=1301, right_input=5569, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1301","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1301, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=1708","layer":4},{"info":"number node, value=1249","layer":4},{"info":"compute binary expreesion, left_input=1708, right_input=1249, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1054","layer":4},{"info":"number node, value=1837","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=1837, 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=9727","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9727, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-134, 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":2,"result_base":2,"text":"(↔((≮⫘↔11001010010⪄≮⫘↔1011100111100)⨰(⨈⫕≮⫘↔1101100011100)))≎⊠⪸(≮⫘↔1010000100011∑⇟⊟≮⫘↔110011000111⨸⪁≮⫘↔10100010101⪛≮⫘↔1010111000001*≮⫘↔11010101100⫥∨⫟≮⫘↔10011100001⫸⊐(≮⫘↔10000011110⫡⨏≮⫘↔11100101101))=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=(↔((≮⫘↔11001010010⪄≮⫘↔1011100111100)⨰(⨈⫕≮⫘↔1101100011100)))≎⊠⪸(≮⫘↔1010000100011∑⇟⊟≮⫘↔110011000111⨸⪁≮⫘↔10100010101⪛≮⫘↔1010111000001*≮⫘↔11010101100⫥∨⫟≮⫘↔10011100001⫸⊐(≮⫘↔10000011110⫡⨏≮⫘↔11100101101))","cot":[{"info":"≮⫘↔11001010010⪄≮⫘↔1011100111100=≮⫘↔-111111010100010001","layer":3},{"info":"⨈⫕≮⫘↔1101100011100=≮⫘↔-10101","layer":3},{"info":"≮⫘↔-111111010100010001⨰≮⫘↔-10101=≮⫘↔-111111010011110010","layer":2},{"info":"↔≮⫘↔-111111010011110010=≮⫘↔-10000110","layer":1},{"info":"≮⫘↔1010000100011∑⇟⊟≮⫘↔110011000111=NaN","layer":3},{"info":"≮⫘↔10100010101⪛≮⫘↔1010111000001=≮⫘↔10100010101","layer":3},{"info":"NaN⨸⪁≮⫘↔10100010101=NaN","layer":2},{"info":"≮⫘↔11010101100⫥∨⫟≮⫘↔10011100001=NaN","layer":3},{"info":"≮⫘↔10000011110⫡⨏≮⫘↔11100101101=≮⫘↔10010111111111","layer":3},{"info":"NaN⫸⊐≮⫘↔10010111111111=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"≮⫘↔-10000110≎⊠⪸NaN=≮⫘↔1000011","layer":0}]}
{"id":734,"expression_no_base_symbol":"≉(((⪲⇎$8085$)-(↣≠⋷$3662$))⨸⪁((+⊝⨔$3993$)-$5064$⨎$6995$))","expression":"≉(((⪲⇎≮⫘↔1111110010101)-(↣≠⋷≮⫘↔111001001110))⨸⪁((+⊝⨔≮⫘↔111110011001)-≮⫘↔1001111001000⨎≮⫘↔1101101010011))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":52,"operation_count":8,"complexity_ratio":6.5,"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":8085,"base":2}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3662,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3993,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5064,"base":2},"right_expr":{"type":"numeric_atoms","value":6995,"base":2}}}}},"used_operators":["e1ybzncUwg","g55IO6H4Gj","rysDP5nf3Z","XPYlsWDdGa","Asc51vEJeQ","DhbWaqg5eL","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8085","layer":4},{"info":"compute unary expreesion, input=8085, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=16170","layer":3},{"info":"number node, value=3662","layer":4},{"info":"compute unary expreesion, input=3662, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=16170, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3993","layer":4},{"info":"compute unary expreesion, input=3993, 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=5064","layer":4},{"info":"number node, value=6995","layer":4},{"info":"compute binary expreesion, left_input=5064, right_input=6995, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6995","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=6995, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5473","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5473, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≉(((⪲⇎≮⫘↔1111110010101)-(↣≠⋷≮⫘↔111001001110))⨸⪁((+⊝⨔≮⫘↔111110011001)-≮⫘↔1001111001000⨎≮⫘↔1101101010011))=NaN","reverse_text":"NaN=≉(((⪲⇎≮⫘↔1111110010101)-(↣≠⋷≮⫘↔111001001110))⨸⪁((+⊝⨔≮⫘↔111110011001)-≮⫘↔1001111001000⨎≮⫘↔1101101010011))","cot":[{"info":"⪲⇎≮⫘↔1111110010101=≮⫘↔11111100101010","layer":3},{"info":"↣≠⋷≮⫘↔111001001110=NaN","layer":3},{"info":"≮⫘↔11111100101010-NaN=NaN","layer":2},{"info":"+⊝⨔≮⫘↔111110011001=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔1001111001000⨎≮⫘↔1101101010011=≮⫘↔1101101010011","layer":3},{"info":"≮⫘↔10111110010-≮⫘↔1101101010011=≮⫘↔-1010101100001","layer":2},{"info":"NaN⨸⪁≮⫘↔-1010101100001=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":735,"expression_no_base_symbol":"($1212$⪘⫢$8328$⨳⩥⨓$6630$↬$7862$)⪘⫢($6321$≭$1943$⨎($2464$⪒$2633$))⇼⇔∾(⨰⫟⨤((↩$1650$)⩷∴(⊄⩳↩$2621$)))","expression":"(≮⫘↔10010111100⪘⫢≮⫘↔10000010001000⨳⩥⨓≮⫘↔1100111100110↬≮⫘↔1111010110110)⪘⫢(≮⫘↔1100010110001≭≮⫘↔11110010111⨎(≮⫘↔100110100000⪒≮⫘↔101001001001))⇼⇔∾(⨰⫟⨤((↩≮⫘↔11001110010)⩷∴(⊄⩳↩≮⫘↔101000111101)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":21536,"operation_count":12,"complexity_ratio":1794.6666666666667,"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":1212,"base":2},"right_expr":{"type":"numeric_atoms","value":8328,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6630,"base":2},"right_expr":{"type":"numeric_atoms","value":7862,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6321,"base":2},"right_expr":{"type":"numeric_atoms","value":1943,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2464,"base":2},"right_expr":{"type":"numeric_atoms","value":2633,"base":2}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1650,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2621,"base":2}}}}},"used_operators":["tifHPKVTfV","oacrs7FA3X","nCS4ZIUYfx","B5M0gjZbta","rJVOvQCfKK","rxpJgHHUmx","f6k1SAg4EE","Tw270M8GLb","9FxExcQeMw","jLgFTUHLKL","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1212","layer":4},{"info":"number node, value=8328","layer":4},{"info":"compute binary expreesion, left_input=1212, right_input=8328, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2300","layer":3},{"info":"number node, value=6630","layer":4},{"info":"number node, value=7862","layer":4},{"info":"compute binary expreesion, left_input=6630, right_input=7862, 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=2300, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=6321","layer":4},{"info":"number node, value=1943","layer":4},{"info":"compute binary expreesion, left_input=6321, right_input=1943, 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=2464","layer":4},{"info":"number node, value=2633","layer":4},{"info":"compute binary expreesion, left_input=2464, right_input=2633, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5097","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5097, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-5097","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5097, 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=1650","layer":4},{"info":"compute unary expreesion, input=1650, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-10420","layer":3},{"info":"number node, value=2621","layer":4},{"info":"compute unary expreesion, input=2621, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7863","layer":3},{"info":"compute binary expreesion, left_input=-10420, right_input=-7863, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5146","layer":2},{"info":"compute unary expreesion, input=-5146, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10010111100⪘⫢≮⫘↔10000010001000⨳⩥⨓≮⫘↔1100111100110↬≮⫘↔1111010110110)⪘⫢(≮⫘↔1100010110001≭≮⫘↔11110010111⨎(≮⫘↔100110100000⪒≮⫘↔101001001001))⇼⇔∾(⨰⫟⨤((↩≮⫘↔11001110010)⩷∴(⊄⩳↩≮⫘↔101000111101)))=NaN","reverse_text":"NaN=(≮⫘↔10010111100⪘⫢≮⫘↔10000010001000⨳⩥⨓≮⫘↔1100111100110↬≮⫘↔1111010110110)⪘⫢(≮⫘↔1100010110001≭≮⫘↔11110010111⨎(≮⫘↔100110100000⪒≮⫘↔101001001001))⇼⇔∾(⨰⫟⨤((↩≮⫘↔11001110010)⩷∴(⊄⩳↩≮⫘↔101000111101)))","cot":[{"info":"≮⫘↔10010111100⪘⫢≮⫘↔10000010001000=≮⫘↔100011111100","layer":3},{"info":"≮⫘↔1100111100110↬≮⫘↔1111010110110=NaN","layer":3},{"info":"≮⫘↔100011111100⨳⩥⨓NaN=NaN","layer":2},{"info":"≮⫘↔1100010110001≭≮⫘↔11110010111=NaN","layer":3},{"info":"≮⫘↔100110100000⪒≮⫘↔101001001001=≮⫘↔-1001111101001","layer":3},{"info":"NaN⨎≮⫘↔-1001111101001=≮⫘↔-1001111101001","layer":2},{"info":"NaN⪘⫢≮⫘↔-1001111101001=NaN","layer":1},{"info":"↩≮⫘↔11001110010=≮⫘↔-10100010110100","layer":3},{"info":"⊄⩳↩≮⫘↔101000111101=≮⫘↔-1111010110111","layer":3},{"info":"≮⫘↔-10100010110100⩷∴≮⫘↔-1111010110111=≮⫘↔-1010000011010","layer":2},{"info":"⨰⫟⨤≮⫘↔-1010000011010=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":736,"expression_no_base_symbol":"(↔($3495$⪢$2991$))⩨($2419$∑⇟⊟$9296$∲⫓($2146$⨁⊸⫻))⨵⪆(($4638$-$7377$)↺($3251$⋷$4239$))⋓($1958$*$4257$)⇷($1742$⨳⩥⨓$1643$)","expression":"(↔(≮⫘↔110110100111⪢≮⫘↔101110101111))⩨(≮⫘↔100101110011∑⇟⊟≮⫘↔10010001010000∲⫓(≮⫘↔100001100010⨁⊸⫻))⨵⪆((≮⫘↔1001000011110-≮⫘↔1110011010001)↺(≮⫘↔110010110011⋷≮⫘↔1000010001111))⋓(≮⫘↔11110100110*≮⫘↔1000010100001)⇷(≮⫘↔11011001110⨳⩥⨓≮⫘↔11001101011)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6518,"operation_count":14,"complexity_ratio":465.57142857142856,"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":3495,"base":2},"right_expr":{"type":"numeric_atoms","value":2991,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2419,"base":2},"right_expr":{"type":"numeric_atoms","value":9296,"base":2}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2146,"base":2}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4638,"base":2},"right_expr":{"type":"numeric_atoms","value":7377,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3251,"base":2},"right_expr":{"type":"numeric_atoms","value":4239,"base":2}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1958,"base":2},"right_expr":{"type":"numeric_atoms","value":4257,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1742,"base":2},"right_expr":{"type":"numeric_atoms","value":1643,"base":2}}}}},"used_operators":["2DQ55sFlQl","2DlMacCsIx","ruOEQAzv1W","dWAJyo7jo9","i8ToyICDmI","U7g4x0WXJJ","glklzrTFfD","T2fj7uvVaJ","7j4O788W3g","rysDP5nf3Z","23Mk6UjR3U","mp7IySMOzn","9HNa5Wba9A","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3495","layer":4},{"info":"number node, value=2991","layer":4},{"info":"compute binary expreesion, left_input=3495, right_input=2991, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=2419","layer":4},{"info":"number node, value=9296","layer":4},{"info":"compute binary expreesion, left_input=2419, right_input=9296, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2146","layer":4},{"info":"compute unary expreesion, input=2146, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2146","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2146, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=4638","layer":4},{"info":"number node, value=7377","layer":4},{"info":"compute binary expreesion, left_input=4638, right_input=7377, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2739","layer":3},{"info":"number node, value=3251","layer":4},{"info":"number node, value=4239","layer":4},{"info":"compute binary expreesion, left_input=3251, right_input=4239, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5227","layer":3},{"info":"compute binary expreesion, left_input=-2739, right_input=5227, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5227","layer":2},{"info":"number node, value=1958","layer":4},{"info":"number node, value=4257","layer":4},{"info":"compute binary expreesion, left_input=1958, right_input=4257, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8335206","layer":3},{"info":"number node, value=1742","layer":4},{"info":"number node, value=1643","layer":4},{"info":"compute binary expreesion, left_input=1742, right_input=1643, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-99","layer":3},{"info":"compute binary expreesion, left_input=8335206, right_input=-99, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5227, 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":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(↔(≮⫘↔110110100111⪢≮⫘↔101110101111))⩨(≮⫘↔100101110011∑⇟⊟≮⫘↔10010001010000∲⫓(≮⫘↔100001100010⨁⊸⫻))⨵⪆((≮⫘↔1001000011110-≮⫘↔1110011010001)↺(≮⫘↔110010110011⋷≮⫘↔1000010001111))⋓(≮⫘↔11110100110*≮⫘↔1000010100001)⇷(≮⫘↔11011001110⨳⩥⨓≮⫘↔11001101011)=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(↔(≮⫘↔110110100111⪢≮⫘↔101110101111))⩨(≮⫘↔100101110011∑⇟⊟≮⫘↔10010001010000∲⫓(≮⫘↔100001100010⨁⊸⫻))⨵⪆((≮⫘↔1001000011110-≮⫘↔1110011010001)↺(≮⫘↔110010110011⋷≮⫘↔1000010001111))⋓(≮⫘↔11110100110*≮⫘↔1000010100001)⇷(≮⫘↔11011001110⨳⩥⨓≮⫘↔11001101011)","cot":[{"info":"≮⫘↔110110100111⪢≮⫘↔101110101111=NaN","layer":3},{"info":"↔NaN=≮⫘↔-10000110","layer":2},{"info":"≮⫘↔100101110011∑⇟⊟≮⫘↔10010001010000=NaN","layer":3},{"info":"≮⫘↔100001100010⨁⊸⫻=≮⫘↔100001100010","layer":3},{"info":"NaN∲⫓≮⫘↔100001100010=≮⫘↔0","layer":2},{"info":"≮⫘↔-10000110⩨≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔1001000011110-≮⫘↔1110011010001=≮⫘↔-101010110011","layer":3},{"info":"≮⫘↔110010110011⋷≮⫘↔1000010001111=≮⫘↔1010001101011","layer":3},{"info":"≮⫘↔-101010110011↺≮⫘↔1010001101011=≮⫘↔1010001101011","layer":2},{"info":"≮⫘↔11110100110*≮⫘↔1000010100001=≮⫘↔11111110010111101100110","layer":3},{"info":"≮⫘↔11011001110⨳⩥⨓≮⫘↔11001101011=≮⫘↔-1100011","layer":3},{"info":"≮⫘↔11111110010111101100110⇷≮⫘↔-1100011=NaN","layer":2},{"info":"≮⫘↔1010001101011⋓NaN=NaN","layer":1},{"info":"≮⫘↔0⨵⪆NaN=≮⫘↔10100000","layer":0}]}
{"id":737,"expression_no_base_symbol":"⊄⩳↩(($2497$↪⪝)⩚⊴⇥($1185$≎⊠⪸$1880$)⋳⪒(⊙↵-$1491$)∀⇚≩$2524$∀⇚≩$2460$)","expression":"⊄⩳↩((≮⫘↔100111000001↪⪝)⩚⊴⇥(≮⫘↔10010100001≎⊠⪸≮⫘↔11101011000)⋳⪒(⊙↵-≮⫘↔10111010011)∀⇚≩≮⫘↔100111011100∀⇚≩≮⫘↔100110011100)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":20195,"operation_count":8,"complexity_ratio":2524.375,"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":2497,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1185,"base":2},"right_expr":{"type":"numeric_atoms","value":1880,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1491,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2524,"base":2},"right_expr":{"type":"numeric_atoms","value":2460,"base":2}}}}},"used_operators":["8w2t5hMYqp","12rbrZMWeM","NTOWxs364D","l07mrZUIn9","bJkvcejdHO","LRNGc0VcxI","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","X99M06cbEe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2497","layer":4},{"info":"compute unary expreesion, input=2497, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=152771454","layer":3},{"info":"number node, value=1185","layer":4},{"info":"number node, value=1880","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=1880, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=306442","layer":3},{"info":"compute binary expreesion, left_input=152771454, right_input=306442, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-153078017","layer":2},{"info":"number node, value=1491","layer":4},{"info":"compute unary expreesion, input=1491, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=2524","layer":4},{"info":"number node, value=2460","layer":4},{"info":"compute binary expreesion, left_input=2524, right_input=2460, 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=-1, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-153078017, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⊄⩳↩((≮⫘↔100111000001↪⪝)⩚⊴⇥(≮⫘↔10010100001≎⊠⪸≮⫘↔11101011000)⋳⪒(⊙↵-≮⫘↔10111010011)∀⇚≩≮⫘↔100111011100∀⇚≩≮⫘↔100110011100)=NaN","reverse_text":"NaN=⊄⩳↩((≮⫘↔100111000001↪⪝)⩚⊴⇥(≮⫘↔10010100001≎⊠⪸≮⫘↔11101011000)⋳⪒(⊙↵-≮⫘↔10111010011)∀⇚≩≮⫘↔100111011100∀⇚≩≮⫘↔100110011100)","cot":[{"info":"≮⫘↔100111000001↪⪝=≮⫘↔1001000110110001101101111110","layer":3},{"info":"≮⫘↔10010100001≎⊠⪸≮⫘↔11101011000=≮⫘↔1001010110100001010","layer":3},{"info":"≮⫘↔1001000110110001101101111110⩚⊴⇥≮⫘↔1001010110100001010=≮⫘↔-1001000111111100100100000001","layer":2},{"info":"⊙↵-≮⫘↔10111010011=≮⫘↔-1","layer":3},{"info":"≮⫘↔100111011100∀⇚≩≮⫘↔100110011100=NaN","layer":3},{"info":"≮⫘↔-1∀⇚≩NaN=NaN","layer":2},{"info":"≮⫘↔-1001000111111100100100000001⋳⪒NaN=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":738,"expression_no_base_symbol":"(($1038$≋⫹)⇼⇔∾(↔$1086$)/(($1060$↛⩡⫤)⊠≄⫣))+⇶⊼(($2614$⋥≓≎$2637$)⪢(⊙↵-$2174$)+($4902$⊭∹↮)↬($6155$≣⋋))","expression":"((≮⫘↔10000001110≋⫹)⇼⇔∾(↔≮⫘↔10000111110)/((≮⫘↔10000100100↛⩡⫤)⊠≄⫣))+⇶⊼((≮⫘↔101000110110⋥≓≎≮⫘↔101001001101)⪢(⊙↵-≮⫘↔100001111110)+(≮⫘↔1001100100110⊭∹↮)↬(≮⫘↔1100000001011≣⋋))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8770,"operation_count":14,"complexity_ratio":626.4285714285714,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1038,"base":2}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1086,"base":2}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1060,"base":2}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2614,"base":2},"right_expr":{"type":"numeric_atoms","value":2637,"base":2}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2174,"base":2}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4902,"base":2}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":6155,"base":2}}}}},"used_operators":["TpPTUOHfaN","XhwjNDsVaA","tifHPKVTfV","N41Kp7NANJ","ruOEQAzv1W","DIvbN7qnHd","FU0Cs4j7VP","W4YGzv6Whe","dWAJyo7jo9","Qy55tPpLXF","oWn0xqSxBt","B5M0gjZbta","xNBdhnnwKq","Tcnh7f0tEr"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rGHVDoGpnC","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1038","layer":4},{"info":"compute unary expreesion, input=1038, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2076","layer":3},{"info":"number node, value=1086","layer":4},{"info":"compute unary expreesion, input=1086, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-813","layer":3},{"info":"compute binary expreesion, left_input=-2076, right_input=-813, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1263","layer":2},{"info":"number node, value=1060","layer":4},{"info":"compute unary expreesion, input=1060, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-156149","layer":3},{"info":"compute unary expreesion, input=-156149, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1263, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2614","layer":4},{"info":"number node, value=2637","layer":4},{"info":"compute binary expreesion, left_input=2614, right_input=2637, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2693","layer":3},{"info":"number node, value=2174","layer":4},{"info":"compute unary expreesion, input=2174, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=2693, right_input=-1, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"number node, value=4902","layer":4},{"info":"compute unary expreesion, input=4902, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9804","layer":3},{"info":"number node, value=6155","layer":4},{"info":"compute unary expreesion, input=6155, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9804, right_input=0, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', 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":2,"result_base":2,"text":"((≮⫘↔10000001110≋⫹)⇼⇔∾(↔≮⫘↔10000111110)/((≮⫘↔10000100100↛⩡⫤)⊠≄⫣))+⇶⊼((≮⫘↔101000110110⋥≓≎≮⫘↔101001001101)⪢(⊙↵-≮⫘↔100001111110)+(≮⫘↔1001100100110⊭∹↮)↬(≮⫘↔1100000001011≣⋋))=NaN","reverse_text":"NaN=((≮⫘↔10000001110≋⫹)⇼⇔∾(↔≮⫘↔10000111110)/((≮⫘↔10000100100↛⩡⫤)⊠≄⫣))+⇶⊼((≮⫘↔101000110110⋥≓≎≮⫘↔101001001101)⪢(⊙↵-≮⫘↔100001111110)+(≮⫘↔1001100100110⊭∹↮)↬(≮⫘↔1100000001011≣⋋))","cot":[{"info":"≮⫘↔10000001110≋⫹=≮⫘↔-100000011100","layer":3},{"info":"↔≮⫘↔10000111110=≮⫘↔-1100101101","layer":3},{"info":"≮⫘↔-100000011100⇼⇔∾≮⫘↔-1100101101=≮⫘↔10011101111","layer":2},{"info":"≮⫘↔10000100100↛⩡⫤=≮⫘↔-100110000111110101","layer":3},{"info":"≮⫘↔-100110000111110101⊠≄⫣=≮⫘↔0","layer":2},{"info":"≮⫘↔10011101111/≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔101000110110⋥≓≎≮⫘↔101001001101=≮⫘↔101010000101","layer":3},{"info":"⊙↵-≮⫘↔100001111110=≮⫘↔-1","layer":3},{"info":"≮⫘↔101010000101⪢≮⫘↔-1=≮⫘↔0","layer":2},{"info":"≮⫘↔1001100100110⊭∹↮=≮⫘↔10011001001100","layer":3},{"info":"≮⫘↔1100000001011≣⋋=≮⫘↔0","layer":3},{"info":"≮⫘↔10011001001100↬≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔0+NaN=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":739,"expression_no_base_symbol":"(($1171$≹⇙⪍$2899$↙(⨑⩽⪐$2504$))⋥≓≎(⨵≀≌($1934$≣⋋)))⨐⩸⫘(↽≂($3468$⇷$2237$)⨟⋌⩍($3236$%$1820$))","expression":"((≮⫘↔10010010011≹⇙⪍≮⫘↔101101010011↙(⨑⩽⪐≮⫘↔100111001000))⋥≓≎(⨵≀≌(≮⫘↔11110001110≣⋋)))⨐⩸⫘(↽≂(≮⫘↔110110001100⇷≮⫘↔100010111101)⨟⋌⩍(≮⫘↔110010100100%≮⫘↔11100011100))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":49092,"operation_count":11,"complexity_ratio":4462.909090909091,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1171,"base":2},"right_expr":{"type":"numeric_atoms","value":2899,"base":2}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2504,"base":2}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1934,"base":2}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3468,"base":2},"right_expr":{"type":"numeric_atoms","value":2237,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3236,"base":2},"right_expr":{"type":"numeric_atoms","value":1820,"base":2}}}}},"used_operators":["fu6greOZ01","Qy55tPpLXF","yyfyN0ffXY","AHs5Up7iyr","AF7qkfDlqP","srAu1WTS94","Tcnh7f0tEr","u6S6b8DprG","rGHVDoGpnC","mp7IySMOzn","k8jYdgA6NY"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1171","layer":4},{"info":"number node, value=2899","layer":4},{"info":"compute binary expreesion, left_input=1171, right_input=2899, 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=2504","layer":4},{"info":"compute unary expreesion, input=2504, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2231","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2231, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=1934","layer":4},{"info":"compute unary expreesion, input=1934, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"number node, value=3468","layer":4},{"info":"number node, value=2237","layer":4},{"info":"compute binary expreesion, left_input=3468, right_input=2237, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4474","layer":3},{"info":"number node, value=3236","layer":4},{"info":"number node, value=1820","layer":4},{"info":"compute binary expreesion, left_input=3236, right_input=1820, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1416","layer":3},{"info":"compute binary expreesion, left_input=4474, right_input=1416, 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 = 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":"compute binary expreesion, left_input=67, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10010010011≹⇙⪍≮⫘↔101101010011↙(⨑⩽⪐≮⫘↔100111001000))⋥≓≎(⨵≀≌(≮⫘↔11110001110≣⋋)))⨐⩸⫘(↽≂(≮⫘↔110110001100⇷≮⫘↔100010111101)⨟⋌⩍(≮⫘↔110010100100%≮⫘↔11100011100))=NaN","reverse_text":"NaN=((≮⫘↔10010010011≹⇙⪍≮⫘↔101101010011↙(⨑⩽⪐≮⫘↔100111001000))⋥≓≎(⨵≀≌(≮⫘↔11110001110≣⋋)))⨐⩸⫘(↽≂(≮⫘↔110110001100⇷≮⫘↔100010111101)⨟⋌⩍(≮⫘↔110010100100%≮⫘↔11100011100))","cot":[{"info":"≮⫘↔10010010011≹⇙⪍≮⫘↔101101010011=NaN","layer":3},{"info":"⨑⩽⪐≮⫘↔100111001000=≮⫘↔-100010110111","layer":3},{"info":"NaN↙≮⫘↔-100010110111=NaN","layer":2},{"info":"≮⫘↔11110001110≣⋋=≮⫘↔0","layer":3},{"info":"⨵≀≌≮⫘↔0=≮⫘↔0","layer":2},{"info":"NaN⋥≓≎≮⫘↔0=≮⫘↔1000011","layer":1},{"info":"≮⫘↔110110001100⇷≮⫘↔100010111101=≮⫘↔1000101111010","layer":3},{"info":"≮⫘↔110010100100%≮⫘↔11100011100=≮⫘↔10110001000","layer":3},{"info":"≮⫘↔1000101111010⨟⋌⩍≮⫘↔10110001000=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"≮⫘↔1000011⨐⩸⫘NaN=NaN","layer":0}]}
{"id":740,"expression_no_base_symbol":"(⊙↵-(≉$3049$))⋝⋈⪟($6772$⨸⪁$3626$%$2558$⪒$4913$)⨳⩥⨓(($3422$+$3335$)⩨(⨰⫟⨤$4101$))∑⇟⊟($1159$⩚⊴⇥$1514$⩤)","expression":"(⊙↵-(≉≮⫘↔101111101001))⋝⋈⪟(≮⫘↔1101001110100⨸⪁≮⫘↔111000101010%≮⫘↔100111111110⪒≮⫘↔1001100110001)⨳⩥⨓((≮⫘↔110101011110+≮⫘↔110100000111)⩨(⨰⫟⨤≮⫘↔1000000000101))∑⇟⊟(≮⫘↔10010000111⩚⊴⇥≮⫘↔10111101010⩤)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19216,"operation_count":13,"complexity_ratio":1478.1538461538462,"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":3049,"base":2}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6772,"base":2},"right_expr":{"type":"numeric_atoms","value":3626,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2558,"base":2},"right_expr":{"type":"numeric_atoms","value":4913,"base":2}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3422,"base":2},"right_expr":{"type":"numeric_atoms","value":3335,"base":2}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":4101,"base":2}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1159,"base":2},"right_expr":{"type":"numeric_atoms","value":1514,"base":2}}}}},"used_operators":["nCS4ZIUYfx","2DDjHMKMc0","oWn0xqSxBt","e1ybzncUwg","k8jYdgA6NY","g55IO6H4Gj","f6k1SAg4EE","U7g4x0WXJJ","2DlMacCsIx","W4YGzv6Whe","Tw270M8GLb","Z2TMIBDE3Q","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3049","layer":4},{"info":"compute unary expreesion, input=3049, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3580","layer":3},{"info":"compute unary expreesion, input=3580, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=6772","layer":4},{"info":"number node, value=3626","layer":4},{"info":"compute binary expreesion, left_input=6772, right_input=3626, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20796","layer":3},{"info":"number node, value=2558","layer":4},{"info":"number node, value=4913","layer":4},{"info":"compute binary expreesion, left_input=2558, right_input=4913, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7471","layer":3},{"info":"compute binary expreesion, left_input=20796, right_input=-7471, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-1617","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=-1617, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-1","layer":1},{"info":"number node, value=3422","layer":4},{"info":"number node, value=3335","layer":4},{"info":"compute binary expreesion, left_input=3422, right_input=3335, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6757","layer":3},{"info":"number node, value=4101","layer":4},{"info":"compute unary expreesion, input=4101, 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=6757, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=1159","layer":4},{"info":"number node, value=1514","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=1514, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2794","layer":3},{"info":"compute unary expreesion, input=-2794, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=2794","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2794, 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=-1, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊙↵-(≉≮⫘↔101111101001))⋝⋈⪟(≮⫘↔1101001110100⨸⪁≮⫘↔111000101010%≮⫘↔100111111110⪒≮⫘↔1001100110001)⨳⩥⨓((≮⫘↔110101011110+≮⫘↔110100000111)⩨(⨰⫟⨤≮⫘↔1000000000101))∑⇟⊟(≮⫘↔10010000111⩚⊴⇥≮⫘↔10111101010⩤)=NaN","reverse_text":"NaN=(⊙↵-(≉≮⫘↔101111101001))⋝⋈⪟(≮⫘↔1101001110100⨸⪁≮⫘↔111000101010%≮⫘↔100111111110⪒≮⫘↔1001100110001)⨳⩥⨓((≮⫘↔110101011110+≮⫘↔110100000111)⩨(⨰⫟⨤≮⫘↔1000000000101))∑⇟⊟(≮⫘↔10010000111⩚⊴⇥≮⫘↔10111101010⩤)","cot":[{"info":"≉≮⫘↔101111101001=≮⫘↔110111111100","layer":3},{"info":"⊙↵-≮⫘↔110111111100=≮⫘↔-1","layer":2},{"info":"≮⫘↔1101001110100⨸⪁≮⫘↔111000101010=≮⫘↔101000100111100","layer":3},{"info":"≮⫘↔100111111110⪒≮⫘↔1001100110001=≮⫘↔-1110100101111","layer":3},{"info":"≮⫘↔101000100111100%≮⫘↔-1110100101111=≮⫘↔-11001010001","layer":2},{"info":"≮⫘↔-1⋝⋈⪟≮⫘↔-11001010001=≮⫘↔-1","layer":1},{"info":"≮⫘↔110101011110+≮⫘↔110100000111=≮⫘↔1101001100101","layer":3},{"info":"⨰⫟⨤≮⫘↔1000000000101=NaN","layer":3},{"info":"≮⫘↔1101001100101⩨NaN=NaN","layer":2},{"info":"≮⫘↔10010000111⩚⊴⇥≮⫘↔10111101010=≮⫘↔-101011101010","layer":3},{"info":"≮⫘↔-101011101010⩤=≮⫘↔101011101010","layer":2},{"info":"NaN∑⇟⊟≮⫘↔101011101010=NaN","layer":1},{"info":"≮⫘↔-1⨳⩥⨓NaN=NaN","layer":0}]}
{"id":741,"expression_no_base_symbol":"↥(($4209$⋳⪒$8221$)∀⇚≩$5548$⪮%⊝$5293$)⊴(($7466$⨰$3983$)∑⇟⊟(⨰⫟⨤$3235$))","expression":"↥((≮⫘↔1000001110001⋳⪒≮⫘↔10000000011101)∀⇚≩≮⫘↔1010110101100⪮%⊝≮⫘↔1010010101101)⊴((≮⫘↔1110100101010⨰≮⫘↔111110001111)∑⇟⊟(⨰⫟⨤≮⫘↔110010100011))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12761,"operation_count":8,"complexity_ratio":1595.125,"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":4209,"base":2},"right_expr":{"type":"numeric_atoms","value":8221,"base":2}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5548,"base":2},"right_expr":{"type":"numeric_atoms","value":5293,"base":2}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":7466,"base":2},"right_expr":{"type":"numeric_atoms","value":3983,"base":2}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3235,"base":2}}}}},"used_operators":["A8NUZmVepG","Nsiff2A1zJ","LRNGc0VcxI","12rbrZMWeM","IWmyXbctLI","U7g4x0WXJJ","eewbuw0ToL","Tw270M8GLb"],"dependent_operators":["k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4209","layer":4},{"info":"number node, value=8221","layer":4},{"info":"compute binary expreesion, left_input=4209, right_input=8221, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-90","layer":3},{"info":"number node, value=5548","layer":4},{"info":"number node, value=5293","layer":4},{"info":"compute binary expreesion, left_input=5548, right_input=5293, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11412","layer":3},{"info":"compute binary expreesion, left_input=-90, right_input=11412, 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=7466","layer":4},{"info":"number node, value=3983","layer":4},{"info":"compute binary expreesion, left_input=7466, right_input=3983, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3493","layer":3},{"info":"number node, value=3235","layer":4},{"info":"compute unary expreesion, input=3235, 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=3493, right_input=nan, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↥((≮⫘↔1000001110001⋳⪒≮⫘↔10000000011101)∀⇚≩≮⫘↔1010110101100⪮%⊝≮⫘↔1010010101101)⊴((≮⫘↔1110100101010⨰≮⫘↔111110001111)∑⇟⊟(⨰⫟⨤≮⫘↔110010100011))=NaN","reverse_text":"NaN=↥((≮⫘↔1000001110001⋳⪒≮⫘↔10000000011101)∀⇚≩≮⫘↔1010110101100⪮%⊝≮⫘↔1010010101101)⊴((≮⫘↔1110100101010⨰≮⫘↔111110001111)∑⇟⊟(⨰⫟⨤≮⫘↔110010100011))","cot":[{"info":"≮⫘↔1000001110001⋳⪒≮⫘↔10000000011101=≮⫘↔-1011010","layer":3},{"info":"≮⫘↔1010110101100⪮%⊝≮⫘↔1010010101101=≮⫘↔10110010010100","layer":3},{"info":"≮⫘↔-1011010∀⇚≩≮⫘↔10110010010100=NaN","layer":2},{"info":"≮⫘↔1110100101010⨰≮⫘↔111110001111=≮⫘↔110110100101","layer":3},{"info":"⨰⫟⨤≮⫘↔110010100011=NaN","layer":3},{"info":"≮⫘↔110110100101∑⇟⊟NaN=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":742,"expression_no_base_symbol":"((⪲⇎$5046$)+⇶⊼$2434$∀⇚≩$1455$)≹⇙⪍(($5730$⩠)⪢(↽≂$1704$))≹⇙⪍(((⩦⩻⨪$4476$)↺(↥$4075$))≧⫂∧($4877$⪒$2671$)∀⇚≩$6591$∼$1545$)","expression":"((⪲⇎≮⫘↔1001110110110)+⇶⊼≮⫘↔100110000010∀⇚≩≮⫘↔10110101111)≹⇙⪍((≮⫘↔1011001100010⩠)⪢(↽≂≮⫘↔11010101000))≹⇙⪍(((⩦⩻⨪≮⫘↔1000101111100)↺(↥≮⫘↔111111101011))≧⫂∧(≮⫘↔1001100001101⪒≮⫘↔101001101111)∀⇚≩≮⫘↔1100110111111∼≮⫘↔11000001001)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":73527,"operation_count":15,"complexity_ratio":4901.8,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5046,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2434,"base":2},"right_expr":{"type":"numeric_atoms","value":1455,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":5730,"base":2}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1704,"base":2}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4476,"base":2}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4075,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4877,"base":2},"right_expr":{"type":"numeric_atoms","value":2671,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6591,"base":2},"right_expr":{"type":"numeric_atoms","value":1545,"base":2}}}}},"used_operators":["AHs5Up7iyr","TpPTUOHfaN","XPYlsWDdGa","LRNGc0VcxI","dWAJyo7jo9","sJAwomhLZr","u6S6b8DprG","Ph9nP6C5qx","7j4O788W3g","2td37pGCOC","A8NUZmVepG","f6k1SAg4EE","DyGG3AbaNP"],"dependent_operators":["dWAJyo7jo9","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5046","layer":4},{"info":"compute unary expreesion, input=5046, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10092","layer":3},{"info":"number node, value=2434","layer":4},{"info":"number node, value=1455","layer":4},{"info":"compute binary expreesion, left_input=2434, right_input=1455, 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=10092, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=5730","layer":4},{"info":"compute unary expreesion, input=5730, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1704","layer":4},{"info":"compute unary expreesion, input=1704, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3408","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3408, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=4476","layer":4},{"info":"compute unary expreesion, input=4476, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4476","layer":3},{"info":"number node, value=4075","layer":4},{"info":"compute unary expreesion, input=4075, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=46","layer":3},{"info":"compute binary expreesion, left_input=4476, right_input=46, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=46","layer":2},{"info":"number node, value=4877","layer":4},{"info":"number node, value=2671","layer":4},{"info":"compute binary expreesion, left_input=4877, right_input=2671, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7548","layer":3},{"info":"number node, value=6591","layer":4},{"info":"number node, value=1545","layer":4},{"info":"compute binary expreesion, left_input=6591, right_input=1545, 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=-7548, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=46, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⪲⇎≮⫘↔1001110110110)+⇶⊼≮⫘↔100110000010∀⇚≩≮⫘↔10110101111)≹⇙⪍((≮⫘↔1011001100010⩠)⪢(↽≂≮⫘↔11010101000))≹⇙⪍(((⩦⩻⨪≮⫘↔1000101111100)↺(↥≮⫘↔111111101011))≧⫂∧(≮⫘↔1001100001101⪒≮⫘↔101001101111)∀⇚≩≮⫘↔1100110111111∼≮⫘↔11000001001)=NaN","reverse_text":"NaN=((⪲⇎≮⫘↔1001110110110)+⇶⊼≮⫘↔100110000010∀⇚≩≮⫘↔10110101111)≹⇙⪍((≮⫘↔1011001100010⩠)⪢(↽≂≮⫘↔11010101000))≹⇙⪍(((⩦⩻⨪≮⫘↔1000101111100)↺(↥≮⫘↔111111101011))≧⫂∧(≮⫘↔1001100001101⪒≮⫘↔101001101111)∀⇚≩≮⫘↔1100110111111∼≮⫘↔11000001001)","cot":[{"info":"⪲⇎≮⫘↔1001110110110=≮⫘↔10011101101100","layer":3},{"info":"≮⫘↔100110000010∀⇚≩≮⫘↔10110101111=NaN","layer":3},{"info":"≮⫘↔10011101101100+⇶⊼NaN=NaN","layer":2},{"info":"≮⫘↔1011001100010⩠=≮⫘↔0","layer":3},{"info":"↽≂≮⫘↔11010101000=≮⫘↔-110101010000","layer":3},{"info":"≮⫘↔0⪢≮⫘↔-110101010000=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"⩦⩻⨪≮⫘↔1000101111100=≮⫘↔1000101111100","layer":3},{"info":"↥≮⫘↔111111101011=≮⫘↔101110","layer":3},{"info":"≮⫘↔1000101111100↺≮⫘↔101110=≮⫘↔101110","layer":2},{"info":"≮⫘↔1001100001101⪒≮⫘↔101001101111=≮⫘↔-1110101111100","layer":3},{"info":"≮⫘↔1100110111111∼≮⫘↔11000001001=NaN","layer":3},{"info":"≮⫘↔-1110101111100∀⇚≩NaN=NaN","layer":2},{"info":"≮⫘↔101110≧⫂∧NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":743,"expression_no_base_symbol":"((⋗⩬⋾($2665$∧))⨸⪁($3096$⩷∴$1805$⊉≛↸(⨵≀≌$2452$)))⨎(($1130$⊭↱$7541$)↙(↯⪼$5329$)⪐)","expression":"((⋗⩬⋾(≮⫘↔101001101001∧))⨸⪁(≮⫘↔110000011000⩷∴≮⫘↔11100001101⊉≛↸(⨵≀≌≮⫘↔100110010100)))⨎((≮⫘↔10001101010⊭↱≮⫘↔1110101110101)↙(↯⪼≮⫘↔1010011010001)⪐)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":87,"operation_count":11,"complexity_ratio":7.909090909090909,"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":2665,"base":2}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3096,"base":2},"right_expr":{"type":"numeric_atoms","value":1805,"base":2}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2452,"base":2}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1130,"base":2},"right_expr":{"type":"numeric_atoms","value":7541,"base":2}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5329,"base":2}}}}},"used_operators":["rJVOvQCfKK","g55IO6H4Gj","DpFCA1CohY","z63VuFQld9","DZ8iAZOCBD","9FxExcQeMw","srAu1WTS94","eH2TOUuTDT","yyfyN0ffXY","COABgblf1C","8jW3W4yZS5"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"≮⫘↔-1111110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2665","layer":4},{"info":"compute unary expreesion, input=2665, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=3096","layer":4},{"info":"number node, value=1805","layer":4},{"info":"compute binary expreesion, left_input=3096, right_input=1805, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2550","layer":3},{"info":"number node, value=2452","layer":4},{"info":"compute unary expreesion, input=2452, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-7356","layer":3},{"info":"compute binary expreesion, left_input=2550, right_input=-7356, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5100","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5100, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1130","layer":4},{"info":"number node, value=7541","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=7541, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=12827","layer":3},{"info":"number node, value=5329","layer":4},{"info":"compute unary expreesion, input=5329, 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=12827, right_input=-21, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-63","layer":2},{"info":"compute unary expreesion, input=-63, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-126","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-126, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-126","layer":0}],"base":2,"result_base":2,"text":"((⋗⩬⋾(≮⫘↔101001101001∧))⨸⪁(≮⫘↔110000011000⩷∴≮⫘↔11100001101⊉≛↸(⨵≀≌≮⫘↔100110010100)))⨎((≮⫘↔10001101010⊭↱≮⫘↔1110101110101)↙(↯⪼≮⫘↔1010011010001)⪐)=≮⫘↔-1111110","reverse_text":"≮⫘↔-1111110=((⋗⩬⋾(≮⫘↔101001101001∧))⨸⪁(≮⫘↔110000011000⩷∴≮⫘↔11100001101⊉≛↸(⨵≀≌≮⫘↔100110010100)))⨎((≮⫘↔10001101010⊭↱≮⫘↔1110101110101)↙(↯⪼≮⫘↔1010011010001)⪐)","cot":[{"info":"≮⫘↔101001101001∧=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"≮⫘↔110000011000⩷∴≮⫘↔11100001101=≮⫘↔100111110110","layer":3},{"info":"⨵≀≌≮⫘↔100110010100=≮⫘↔-1110010111100","layer":3},{"info":"≮⫘↔100111110110⊉≛↸≮⫘↔-1110010111100=≮⫘↔1001111101100","layer":2},{"info":"NaN⨸⪁≮⫘↔1001111101100=NaN","layer":1},{"info":"≮⫘↔10001101010⊭↱≮⫘↔1110101110101=≮⫘↔11001000011011","layer":3},{"info":"↯⪼≮⫘↔1010011010001=≮⫘↔-10101","layer":3},{"info":"≮⫘↔11001000011011↙≮⫘↔-10101=≮⫘↔-111111","layer":2},{"info":"≮⫘↔-111111⪐=≮⫘↔-1111110","layer":1},{"info":"NaN⨎≮⫘↔-1111110=≮⫘↔-1111110","layer":0}]}
{"id":744,"expression_no_base_symbol":"($4123$↙$2681$⊭↱$4283$⩚⊴⇥$3916$)⩚⊴⇥($1306$⋳⪒$2738$)⇷($1757$⫸⊐$1237$)%($5885$⪮%⊝$6741$⨵⪆(↥$2495$))⋥≓≎(⪲⇎($3271$⪒$1166$))","expression":"(≮⫘↔1000000011011↙≮⫘↔101001111001⊭↱≮⫘↔1000010111011⩚⊴⇥≮⫘↔111101001100)⩚⊴⇥(≮⫘↔10100011010⋳⪒≮⫘↔101010110010)⇷(≮⫘↔11011011101⫸⊐≮⫘↔10011010101)%(≮⫘↔1011011111101⪮%⊝≮⫘↔1101001010101⨵⪆(↥≮⫘↔100110111111))⋥≓≎(⪲⇎(≮⫘↔110011000111⪒≮⫘↔10010001110))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8583,"operation_count":14,"complexity_ratio":613.0714285714286,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4123,"base":2},"right_expr":{"type":"numeric_atoms","value":2681,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4283,"base":2},"right_expr":{"type":"numeric_atoms","value":3916,"base":2}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1306,"base":2},"right_expr":{"type":"numeric_atoms","value":2738,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1757,"base":2},"right_expr":{"type":"numeric_atoms","value":1237,"base":2}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5885,"base":2},"right_expr":{"type":"numeric_atoms","value":6741,"base":2}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2495,"base":2}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3271,"base":2},"right_expr":{"type":"numeric_atoms","value":1166,"base":2}}}}},"used_operators":["k8jYdgA6NY","NTOWxs364D","COABgblf1C","yyfyN0ffXY","mp7IySMOzn","12rbrZMWeM","mqXw5SEYmG","Qy55tPpLXF","2DQ55sFlQl","IWmyXbctLI","A8NUZmVepG","XPYlsWDdGa","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-10010000000010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4123","layer":4},{"info":"number node, value=2681","layer":4},{"info":"compute binary expreesion, left_input=4123, right_input=2681, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8043","layer":3},{"info":"number node, value=4283","layer":4},{"info":"number node, value=3916","layer":4},{"info":"compute binary expreesion, left_input=4283, right_input=3916, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8320","layer":3},{"info":"compute binary expreesion, left_input=-8043, right_input=-8320, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-549","layer":2},{"info":"number node, value=1306","layer":4},{"info":"number node, value=2738","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=2738, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-413","layer":3},{"info":"number node, value=1757","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=1757, right_input=1237, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4823","layer":3},{"info":"compute binary expreesion, left_input=-413, right_input=4823, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9646","layer":2},{"info":"compute binary expreesion, left_input=-549, right_input=9646, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9218","layer":1},{"info":"number node, value=5885","layer":4},{"info":"number node, value=6741","layer":4},{"info":"compute binary expreesion, left_input=5885, right_input=6741, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12086","layer":3},{"info":"number node, value=2495","layer":4},{"info":"compute unary expreesion, input=2495, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=47","layer":3},{"info":"compute binary expreesion, left_input=12086, right_input=47, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=3271","layer":4},{"info":"number node, value=1166","layer":4},{"info":"compute binary expreesion, left_input=3271, right_input=1166, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4437","layer":3},{"info":"compute unary expreesion, input=-4437, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-8874","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-8874, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-17875","layer":1},{"info":"compute binary expreesion, left_input=-9218, right_input=-17875, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-9218","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1000000011011↙≮⫘↔101001111001⊭↱≮⫘↔1000010111011⩚⊴⇥≮⫘↔111101001100)⩚⊴⇥(≮⫘↔10100011010⋳⪒≮⫘↔101010110010)⇷(≮⫘↔11011011101⫸⊐≮⫘↔10011010101)%(≮⫘↔1011011111101⪮%⊝≮⫘↔1101001010101⨵⪆(↥≮⫘↔100110111111))⋥≓≎(⪲⇎(≮⫘↔110011000111⪒≮⫘↔10010001110))=≮⫘↔-10010000000010","reverse_text":"≮⫘↔-10010000000010=(≮⫘↔1000000011011↙≮⫘↔101001111001⊭↱≮⫘↔1000010111011⩚⊴⇥≮⫘↔111101001100)⩚⊴⇥(≮⫘↔10100011010⋳⪒≮⫘↔101010110010)⇷(≮⫘↔11011011101⫸⊐≮⫘↔10011010101)%(≮⫘↔1011011111101⪮%⊝≮⫘↔1101001010101⨵⪆(↥≮⫘↔100110111111))⋥≓≎(⪲⇎(≮⫘↔110011000111⪒≮⫘↔10010001110))","cot":[{"info":"≮⫘↔1000000011011↙≮⫘↔101001111001=≮⫘↔-1111101101011","layer":3},{"info":"≮⫘↔1000010111011⩚⊴⇥≮⫘↔111101001100=≮⫘↔-10000010000000","layer":3},{"info":"≮⫘↔-1111101101011⊭↱≮⫘↔-10000010000000=≮⫘↔-1000100101","layer":2},{"info":"≮⫘↔10100011010⋳⪒≮⫘↔101010110010=≮⫘↔-110011101","layer":3},{"info":"≮⫘↔11011011101⫸⊐≮⫘↔10011010101=≮⫘↔1001011010111","layer":3},{"info":"≮⫘↔-110011101⇷≮⫘↔1001011010111=≮⫘↔10010110101110","layer":2},{"info":"≮⫘↔-1000100101⩚⊴⇥≮⫘↔10010110101110=≮⫘↔-10010000000010","layer":1},{"info":"≮⫘↔1011011111101⪮%⊝≮⫘↔1101001010101=≮⫘↔10111100110110","layer":3},{"info":"↥≮⫘↔100110111111=≮⫘↔101111","layer":3},{"info":"≮⫘↔10111100110110⨵⪆≮⫘↔101111=≮⫘↔10100000","layer":2},{"info":"≮⫘↔110011000111⪒≮⫘↔10010001110=≮⫘↔-1000101010101","layer":3},{"info":"⪲⇎≮⫘↔-1000101010101=≮⫘↔-10001010101010","layer":2},{"info":"≮⫘↔10100000⋥≓≎≮⫘↔-10001010101010=≮⫘↔-100010111010011","layer":1},{"info":"≮⫘↔-10010000000010%≮⫘↔-100010111010011=≮⫘↔-10010000000010","layer":0}]}
{"id":745,"expression_no_base_symbol":"(↯⪼$4452$⪢$1488$)≧⫂∧(≤/$3634$)↬$1145$∀⇚≩$2757$⇼⇔∾(($1688$⋥≓≎$1767$)⊘)⨰($2190$⨽$1076$)∀⇚≩$2159$⪮%⊝$2335$","expression":"(↯⪼≮⫘↔1000101100100⪢≮⫘↔10111010000)≧⫂∧(≤/≮⫘↔111000110010)↬≮⫘↔10001111001∀⇚≩≮⫘↔101011000101⇼⇔∾((≮⫘↔11010011000⋥≓≎≮⫘↔11011100111)⊘)⨰(≮⫘↔100010001110⨽≮⫘↔10000110100)∀⇚≩≮⫘↔100001101111⪮%⊝≮⫘↔100100011111","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12334,"operation_count":13,"complexity_ratio":948.7692307692307,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4452,"base":2},"right_expr":{"type":"numeric_atoms","value":1488,"base":2}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3634,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1145,"base":2},"right_expr":{"type":"numeric_atoms","value":2757,"base":2}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1688,"base":2},"right_expr":{"type":"numeric_atoms","value":1767,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2190,"base":2},"right_expr":{"type":"numeric_atoms","value":1076,"base":2}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2159,"base":2},"right_expr":{"type":"numeric_atoms","value":2335,"base":2}}}}},"used_operators":["tifHPKVTfV","Ph9nP6C5qx","8jW3W4yZS5","dWAJyo7jo9","B5M0gjZbta","eLAdDNolq6","LRNGc0VcxI","eewbuw0ToL","gu96TGCTMs","Qy55tPpLXF","8HhzD0ZcuI","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","k8jYdgA6NY","rGHVDoGpnC","rysDP5nf3Z","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4452","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=4452, right_input=1488, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=3634","layer":4},{"info":"compute unary expreesion, input=3634, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3150","layer":3},{"info":"number node, value=1145","layer":4},{"info":"number node, value=2757","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=2757, 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=-3150, 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":2},{"info":"compute binary expreesion, left_input=-21, 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=1688","layer":4},{"info":"number node, value=1767","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=1767, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1879","layer":3},{"info":"compute unary expreesion, input=1879, 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":2},{"info":"number node, value=2190","layer":4},{"info":"number node, value=1076","layer":4},{"info":"compute binary expreesion, left_input=2190, right_input=1076, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-14390214","layer":3},{"info":"number node, value=2159","layer":4},{"info":"number node, value=2335","layer":4},{"info":"compute binary expreesion, left_input=2159, right_input=2335, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4634","layer":3},{"info":"compute binary expreesion, left_input=-14390214, right_input=4634, 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=0, 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=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↯⪼≮⫘↔1000101100100⪢≮⫘↔10111010000)≧⫂∧(≤/≮⫘↔111000110010)↬≮⫘↔10001111001∀⇚≩≮⫘↔101011000101⇼⇔∾((≮⫘↔11010011000⋥≓≎≮⫘↔11011100111)⊘)⨰(≮⫘↔100010001110⨽≮⫘↔10000110100)∀⇚≩≮⫘↔100001101111⪮%⊝≮⫘↔100100011111=NaN","reverse_text":"NaN=(↯⪼≮⫘↔1000101100100⪢≮⫘↔10111010000)≧⫂∧(≤/≮⫘↔111000110010)↬≮⫘↔10001111001∀⇚≩≮⫘↔101011000101⇼⇔∾((≮⫘↔11010011000⋥≓≎≮⫘↔11011100111)⊘)⨰(≮⫘↔100010001110⨽≮⫘↔10000110100)∀⇚≩≮⫘↔100001101111⪮%⊝≮⫘↔100100011111","cot":[{"info":"≮⫘↔1000101100100⪢≮⫘↔10111010000=NaN","layer":3},{"info":"↯⪼NaN=≮⫘↔-10101","layer":2},{"info":"≤/≮⫘↔111000110010=≮⫘↔-110001001110","layer":3},{"info":"≮⫘↔10001111001∀⇚≩≮⫘↔101011000101=NaN","layer":3},{"info":"≮⫘↔-110001001110↬NaN=NaN","layer":2},{"info":"≮⫘↔-10101≧⫂∧NaN=NaN","layer":1},{"info":"≮⫘↔11010011000⋥≓≎≮⫘↔11011100111=≮⫘↔11101010111","layer":3},{"info":"≮⫘↔11101010111⊘=≮⫘↔0","layer":2},{"info":"≮⫘↔100010001110⨽≮⫘↔10000110100=≮⫘↔-110110111001001111000110","layer":3},{"info":"≮⫘↔100001101111⪮%⊝≮⫘↔100100011111=≮⫘↔1001000011010","layer":3},{"info":"≮⫘↔-110110111001001111000110∀⇚≩≮⫘↔1001000011010=NaN","layer":2},{"info":"≮⫘↔0⨰NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":746,"expression_no_base_symbol":"(⪝⪂⫅$2426$∀⇚≩$4998$)⪛($1861$⨟⋌⩍$3417$↬(⊄⩳↩$2222$))⨓($4366$≹⇙⪍$1264$⨪↰⇹$1593$∼$1108$⋝⋈⪟($2681$⊴$3803$⇼⇔∾(⪲⇎$1752$)))","expression":"(⪝⪂⫅≮⫘↔100101111010∀⇚≩≮⫘↔1001110000110)⪛(≮⫘↔11101000101⨟⋌⩍≮⫘↔110101011001↬(⊄⩳↩≮⫘↔100010101110))⨓(≮⫘↔1000100001110≹⇙⪍≮⫘↔10011110000⨪↰⇹≮⫘↔11000111001∼≮⫘↔10001010100⋝⋈⪟(≮⫘↔101001111001⊴≮⫘↔111011011011⇼⇔∾(⪲⇎≮⫘↔11011011000)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20853,"operation_count":14,"complexity_ratio":1489.5,"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":2426,"base":2},"right_expr":{"type":"numeric_atoms","value":4998,"base":2}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1861,"base":2},"right_expr":{"type":"numeric_atoms","value":3417,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2222,"base":2}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4366,"base":2},"right_expr":{"type":"numeric_atoms","value":1264,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1593,"base":2},"right_expr":{"type":"numeric_atoms","value":1108,"base":2}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2681,"base":2},"right_expr":{"type":"numeric_atoms","value":3803,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1752,"base":2}}}}},"used_operators":["3ViojmjbAp","uFcxV4UQCh","XTarYq4gQB","LRNGc0VcxI","B5M0gjZbta","rGHVDoGpnC","8w2t5hMYqp","2DDjHMKMc0","tmPS8pqC7x","AHs5Up7iyr","DyGG3AbaNP","tifHPKVTfV","Nsiff2A1zJ","XPYlsWDdGa"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9HNa5Wba9A","8w2t5hMYqp","X99M06cbEe","rGHVDoGpnC","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","dWAJyo7jo9","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2426","layer":4},{"info":"number node, value=4998","layer":4},{"info":"compute binary expreesion, left_input=2426, right_input=4998, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"number node, value=1861","layer":4},{"info":"number node, value=3417","layer":4},{"info":"compute binary expreesion, left_input=1861, right_input=3417, 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=2222","layer":4},{"info":"compute unary expreesion, input=2222, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6666","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6666, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=4366","layer":4},{"info":"number node, value=1264","layer":4},{"info":"compute binary expreesion, left_input=4366, right_input=1264, 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=1593","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=1593, right_input=1108, 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 = 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=2681","layer":4},{"info":"number node, value=3803","layer":4},{"info":"compute binary expreesion, left_input=2681, right_input=3803, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1752","layer":4},{"info":"compute unary expreesion, input=1752, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3504","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3504, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-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":2,"result_base":2,"text":"(⪝⪂⫅≮⫘↔100101111010∀⇚≩≮⫘↔1001110000110)⪛(≮⫘↔11101000101⨟⋌⩍≮⫘↔110101011001↬(⊄⩳↩≮⫘↔100010101110))⨓(≮⫘↔1000100001110≹⇙⪍≮⫘↔10011110000⨪↰⇹≮⫘↔11000111001∼≮⫘↔10001010100⋝⋈⪟(≮⫘↔101001111001⊴≮⫘↔111011011011⇼⇔∾(⪲⇎≮⫘↔11011011000)))=NaN","reverse_text":"NaN=(⪝⪂⫅≮⫘↔100101111010∀⇚≩≮⫘↔1001110000110)⪛(≮⫘↔11101000101⨟⋌⩍≮⫘↔110101011001↬(⊄⩳↩≮⫘↔100010101110))⨓(≮⫘↔1000100001110≹⇙⪍≮⫘↔10011110000⨪↰⇹≮⫘↔11000111001∼≮⫘↔10001010100⋝⋈⪟(≮⫘↔101001111001⊴≮⫘↔111011011011⇼⇔∾(⪲⇎≮⫘↔11011011000)))","cot":[{"info":"≮⫘↔100101111010∀⇚≩≮⫘↔1001110000110=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"≮⫘↔11101000101⨟⋌⩍≮⫘↔110101011001=NaN","layer":3},{"info":"⊄⩳↩≮⫘↔100010101110=≮⫘↔-1101000001010","layer":3},{"info":"NaN↬≮⫘↔-1101000001010=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"≮⫘↔1000100001110≹⇙⪍≮⫘↔10011110000=NaN","layer":3},{"info":"≮⫘↔11000111001∼≮⫘↔10001010100=NaN","layer":3},{"info":"NaN⨪↰⇹NaN=NaN","layer":2},{"info":"≮⫘↔101001111001⊴≮⫘↔111011011011=NaN","layer":3},{"info":"⪲⇎≮⫘↔11011011000=≮⫘↔110110110000","layer":3},{"info":"NaN⇼⇔∾≮⫘↔110110110000=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":747,"expression_no_base_symbol":"((⊄⩳↩(∥⊫$4011$))%($5234$⪨≂$1059$)⨐⩸⫘($8726$⩠))⩨($1454$≹⇙⪍$5942$∲⫓($1266$⫡⨏$1249$))+⇶⊼($3294$⪄$4722$)⪛($1706$+$1146$)","expression":"((⊄⩳↩(∥⊫≮⫘↔111110101011))%(≮⫘↔1010001110010⪨≂≮⫘↔10000100011)⨐⩸⫘(≮⫘↔10001000010110⩠))⩨(≮⫘↔10110101110≹⇙⪍≮⫘↔1011100110110∲⫓(≮⫘↔10011110010⫡⨏≮⫘↔10011100001))+⇶⊼(≮⫘↔110011011110⪄≮⫘↔1001001110010)⪛(≮⫘↔11010101010+≮⫘↔10001111010)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":322,"operation_count":14,"complexity_ratio":23.0,"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":4011,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5234,"base":2},"right_expr":{"type":"numeric_atoms","value":1059,"base":2}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":8726,"base":2}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1454,"base":2},"right_expr":{"type":"numeric_atoms","value":5942,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1266,"base":2},"right_expr":{"type":"numeric_atoms","value":1249,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3294,"base":2},"right_expr":{"type":"numeric_atoms","value":4722,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1706,"base":2},"right_expr":{"type":"numeric_atoms","value":1146,"base":2}}}}},"used_operators":["2DlMacCsIx","k8jYdgA6NY","8w2t5hMYqp","P8v4zCKN1o","fu6greOZ01","sdazOOVcIp","sJAwomhLZr","TpPTUOHfaN","i8ToyICDmI","AHs5Up7iyr","QMFrweE19q","uFcxV4UQCh","SUmda5xLS4","W4YGzv6Whe"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4011","layer":4},{"info":"compute unary expreesion, input=4011, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4879","layer":3},{"info":"compute unary expreesion, input=4879, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-14637","layer":2},{"info":"number node, value=5234","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=5234, right_input=1059, 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=8452","layer":3},{"info":"number node, value=8726","layer":4},{"info":"compute unary expreesion, input=8726, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=8452, 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=8452","layer":2},{"info":"compute binary expreesion, left_input=-14637, right_input=8452, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2267","layer":1},{"info":"number node, value=1454","layer":4},{"info":"number node, value=5942","layer":4},{"info":"compute binary expreesion, left_input=1454, right_input=5942, 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=1266","layer":4},{"info":"number node, value=1249","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=1249, 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=9611","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9611, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=3294","layer":4},{"info":"number node, value=4722","layer":4},{"info":"compute binary expreesion, left_input=3294, right_input=4722, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-502489","layer":3},{"info":"number node, value=1706","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=1706, right_input=1146, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2852","layer":3},{"info":"compute binary expreesion, left_input=-502489, right_input=2852, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2315","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2315, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2267, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⊄⩳↩(∥⊫≮⫘↔111110101011))%(≮⫘↔1010001110010⪨≂≮⫘↔10000100011)⨐⩸⫘(≮⫘↔10001000010110⩠))⩨(≮⫘↔10110101110≹⇙⪍≮⫘↔1011100110110∲⫓(≮⫘↔10011110010⫡⨏≮⫘↔10011100001))+⇶⊼(≮⫘↔110011011110⪄≮⫘↔1001001110010)⪛(≮⫘↔11010101010+≮⫘↔10001111010)=NaN","reverse_text":"NaN=((⊄⩳↩(∥⊫≮⫘↔111110101011))%(≮⫘↔1010001110010⪨≂≮⫘↔10000100011)⨐⩸⫘(≮⫘↔10001000010110⩠))⩨(≮⫘↔10110101110≹⇙⪍≮⫘↔1011100110110∲⫓(≮⫘↔10011110010⫡⨏≮⫘↔10011100001))+⇶⊼(≮⫘↔110011011110⪄≮⫘↔1001001110010)⪛(≮⫘↔11010101010+≮⫘↔10001111010)","cot":[{"info":"∥⊫≮⫘↔111110101011=≮⫘↔1001100001111","layer":3},{"info":"⊄⩳↩≮⫘↔1001100001111=≮⫘↔-11100100101101","layer":2},{"info":"≮⫘↔1010001110010⪨≂≮⫘↔10000100011=≮⫘↔10000100000100","layer":3},{"info":"≮⫘↔10001000010110⩠=≮⫘↔0","layer":3},{"info":"≮⫘↔10000100000100⨐⩸⫘≮⫘↔0=≮⫘↔10000100000100","layer":2},{"info":"≮⫘↔-11100100101101%≮⫘↔10000100000100=≮⫘↔100011011011","layer":1},{"info":"≮⫘↔10110101110≹⇙⪍≮⫘↔1011100110110=NaN","layer":3},{"info":"≮⫘↔10011110010⫡⨏≮⫘↔10011100001=≮⫘↔10010110001011","layer":3},{"info":"NaN∲⫓≮⫘↔10010110001011=≮⫘↔0","layer":2},{"info":"≮⫘↔110011011110⪄≮⫘↔1001001110010=≮⫘↔-1111010101011011001","layer":3},{"info":"≮⫘↔11010101010+≮⫘↔10001111010=≮⫘↔101100100100","layer":3},{"info":"≮⫘↔-1111010101011011001⪛≮⫘↔101100100100=≮⫘↔100100001011","layer":2},{"info":"≮⫘↔0+⇶⊼≮⫘↔100100001011=NaN","layer":1},{"info":"≮⫘↔100011011011⩨NaN=NaN","layer":0}]}
{"id":748,"expression_no_base_symbol":"(($1774$⊉≛↸$4554$)⋝⋈⪟(⫛⫱⨽$2398$)⊭↱($1220$+⇶⊼$1622$)⋓($1185$⫸⊐$2403$))⨟⋌⩍(($1501$⋷$3234$+$3389$⨪↰⇹$2976$)-(∥⊫$2236$)⪢($3647$⨸⪁$4926$))","expression":"((≮⫘↔11011101110⊉≛↸≮⫘↔1000111001010)⋝⋈⪟(⫛⫱⨽≮⫘↔100101011110)⊭↱(≮⫘↔10011000100+⇶⊼≮⫘↔11001010110)⋓(≮⫘↔10010100001⫸⊐≮⫘↔100101100011))⨟⋌⩍((≮⫘↔10111011101⋷≮⫘↔110010100010+≮⫘↔110100111101⨪↰⇹≮⫘↔101110100000)-(∥⊫≮⫘↔100010111100)⪢(≮⫘↔111000111111⨸⪁≮⫘↔1001100111110))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":22019,"operation_count":15,"complexity_ratio":1467.9333333333334,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1774,"base":2},"right_expr":{"type":"numeric_atoms","value":4554,"base":2}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2398,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1220,"base":2},"right_expr":{"type":"numeric_atoms","value":1622,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1185,"base":2},"right_expr":{"type":"numeric_atoms","value":2403,"base":2}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1501,"base":2},"right_expr":{"type":"numeric_atoms","value":3234,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3389,"base":2},"right_expr":{"type":"numeric_atoms","value":2976,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2236,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3647,"base":2},"right_expr":{"type":"numeric_atoms","value":4926,"base":2}}}}},"used_operators":["rGHVDoGpnC","COABgblf1C","2DDjHMKMc0","DZ8iAZOCBD","DlLNRPXxWL","T2fj7uvVaJ","TpPTUOHfaN","mqXw5SEYmG","rysDP5nf3Z","W4YGzv6Whe","23Mk6UjR3U","tmPS8pqC7x","dWAJyo7jo9","P8v4zCKN1o","g55IO6H4Gj"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1774","layer":4},{"info":"number node, value=4554","layer":4},{"info":"compute binary expreesion, left_input=1774, right_input=4554, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3548","layer":3},{"info":"number node, value=2398","layer":4},{"info":"compute unary expreesion, input=2398, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3548, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3548","layer":2},{"info":"number node, value=1220","layer":4},{"info":"number node, value=1622","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=1622, 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=1185","layer":4},{"info":"number node, value=2403","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=2403, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9487","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9487, 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=3548, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7091","layer":1},{"info":"number node, value=1501","layer":4},{"info":"number node, value=3234","layer":4},{"info":"compute binary expreesion, left_input=1501, right_input=3234, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4967","layer":3},{"info":"number node, value=3389","layer":4},{"info":"number node, value=2976","layer":4},{"info":"compute binary expreesion, left_input=3389, right_input=2976, 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=3389","layer":3},{"info":"compute binary expreesion, left_input=4967, right_input=3389, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8356","layer":2},{"info":"number node, value=2236","layer":4},{"info":"compute unary expreesion, input=2236, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3104","layer":3},{"info":"number node, value=3647","layer":4},{"info":"number node, value=4926","layer":4},{"info":"compute binary expreesion, left_input=3647, right_input=4926, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17146","layer":3},{"info":"compute binary expreesion, left_input=3104, right_input=17146, 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=8356, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-7091, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11011101110⊉≛↸≮⫘↔1000111001010)⋝⋈⪟(⫛⫱⨽≮⫘↔100101011110)⊭↱(≮⫘↔10011000100+⇶⊼≮⫘↔11001010110)⋓(≮⫘↔10010100001⫸⊐≮⫘↔100101100011))⨟⋌⩍((≮⫘↔10111011101⋷≮⫘↔110010100010+≮⫘↔110100111101⨪↰⇹≮⫘↔101110100000)-(∥⊫≮⫘↔100010111100)⪢(≮⫘↔111000111111⨸⪁≮⫘↔1001100111110))=NaN","reverse_text":"NaN=((≮⫘↔11011101110⊉≛↸≮⫘↔1000111001010)⋝⋈⪟(⫛⫱⨽≮⫘↔100101011110)⊭↱(≮⫘↔10011000100+⇶⊼≮⫘↔11001010110)⋓(≮⫘↔10010100001⫸⊐≮⫘↔100101100011))⨟⋌⩍((≮⫘↔10111011101⋷≮⫘↔110010100010+≮⫘↔110100111101⨪↰⇹≮⫘↔101110100000)-(∥⊫≮⫘↔100010111100)⪢(≮⫘↔111000111111⨸⪁≮⫘↔1001100111110))","cot":[{"info":"≮⫘↔11011101110⊉≛↸≮⫘↔1000111001010=≮⫘↔110111011100","layer":3},{"info":"⫛⫱⨽≮⫘↔100101011110=≮⫘↔0","layer":3},{"info":"≮⫘↔110111011100⋝⋈⪟≮⫘↔0=≮⫘↔110111011100","layer":2},{"info":"≮⫘↔10011000100+⇶⊼≮⫘↔11001010110=NaN","layer":3},{"info":"≮⫘↔10010100001⫸⊐≮⫘↔100101100011=≮⫘↔10010100001111","layer":3},{"info":"NaN⋓≮⫘↔10010100001111=≮⫘↔0","layer":2},{"info":"≮⫘↔110111011100⊭↱≮⫘↔0=≮⫘↔-1101110110011","layer":1},{"info":"≮⫘↔10111011101⋷≮⫘↔110010100010=≮⫘↔1001101100111","layer":3},{"info":"≮⫘↔110100111101⨪↰⇹≮⫘↔101110100000=≮⫘↔110100111101","layer":3},{"info":"≮⫘↔1001101100111+≮⫘↔110100111101=≮⫘↔10000010100100","layer":2},{"info":"∥⊫≮⫘↔100010111100=≮⫘↔110000100000","layer":3},{"info":"≮⫘↔111000111111⨸⪁≮⫘↔1001100111110=≮⫘↔100001011111010","layer":3},{"info":"≮⫘↔110000100000⪢≮⫘↔100001011111010=NaN","layer":2},{"info":"≮⫘↔10000010100100-NaN=NaN","layer":1},{"info":"≮⫘↔-1101110110011⨟⋌⩍NaN=NaN","layer":0}]}
{"id":749,"expression_no_base_symbol":"(($4588$⪄$1143$)⋓(⨞⊢$1582$)⨸⪁(↯⪼$1028$)↺(⇁⨣⪵$1465$))≧⫂∧(($8204$⨐⩸⫘$1222$)∑⇟⊟(↽≂$5058$)⋫)","expression":"((≮⫘↔1000111101100⪄≮⫘↔10001110111)⋓(⨞⊢≮⫘↔11000101110)⨸⪁(↯⪼≮⫘↔10000000100)↺(⇁⨣⪵≮⫘↔10110111001))≧⫂∧((≮⫘↔10000000001100⨐⩸⫘≮⫘↔10011000110)∑⇟⊟(↽≂≮⫘↔1001111000010)⋫)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":154,"operation_count":12,"complexity_ratio":12.833333333333334,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4588,"base":2},"right_expr":{"type":"numeric_atoms","value":1143,"base":2}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1582,"base":2}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1028,"base":2}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1465,"base":2}}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":8204,"base":2},"right_expr":{"type":"numeric_atoms","value":1222,"base":2}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5058,"base":2}}}}},"used_operators":["Ph9nP6C5qx","g55IO6H4Gj","T2fj7uvVaJ","SUmda5xLS4","xUOZtlo3hN","7j4O788W3g","8jW3W4yZS5","inkyxCbjAn","JL8yIekQnl","U7g4x0WXJJ","fu6greOZ01","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","B5M0gjZbta","tmPS8pqC7x","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4588","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=4588, right_input=1143, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-679685","layer":3},{"info":"number node, value=1582","layer":4},{"info":"compute unary expreesion, input=1582, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1756","layer":3},{"info":"compute binary expreesion, left_input=-679685, right_input=-1756, 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=1028","layer":4},{"info":"compute unary expreesion, input=1028, 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=1465","layer":4},{"info":"compute unary expreesion, input=1465, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=8204","layer":4},{"info":"number node, value=1222","layer":4},{"info":"compute binary expreesion, left_input=8204, right_input=1222, 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=5058","layer":4},{"info":"compute unary expreesion, input=5058, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-10116","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10116, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1000111101100⪄≮⫘↔10001110111)⋓(⨞⊢≮⫘↔11000101110)⨸⪁(↯⪼≮⫘↔10000000100)↺(⇁⨣⪵≮⫘↔10110111001))≧⫂∧((≮⫘↔10000000001100⨐⩸⫘≮⫘↔10011000110)∑⇟⊟(↽≂≮⫘↔1001111000010)⋫)=NaN","reverse_text":"NaN=((≮⫘↔1000111101100⪄≮⫘↔10001110111)⋓(⨞⊢≮⫘↔11000101110)⨸⪁(↯⪼≮⫘↔10000000100)↺(⇁⨣⪵≮⫘↔10110111001))≧⫂∧((≮⫘↔10000000001100⨐⩸⫘≮⫘↔10011000110)∑⇟⊟(↽≂≮⫘↔1001111000010)⋫)","cot":[{"info":"≮⫘↔1000111101100⪄≮⫘↔10001110111=≮⫘↔-10100101111100000101","layer":3},{"info":"⨞⊢≮⫘↔11000101110=≮⫘↔-11011011100","layer":3},{"info":"≮⫘↔-10100101111100000101⋓≮⫘↔-11011011100=≮⫘↔0","layer":2},{"info":"↯⪼≮⫘↔10000000100=≮⫘↔-10101","layer":3},{"info":"⇁⨣⪵≮⫘↔10110111001=NaN","layer":3},{"info":"≮⫘↔-10101↺NaN=NaN","layer":2},{"info":"≮⫘↔0⨸⪁NaN=NaN","layer":1},{"info":"≮⫘↔10000000001100⨐⩸⫘≮⫘↔10011000110=NaN","layer":3},{"info":"↽≂≮⫘↔1001111000010=≮⫘↔-10011110000100","layer":3},{"info":"NaN∑⇟⊟≮⫘↔-10011110000100=NaN","layer":2},{"info":"NaN⋫=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":750,"expression_no_base_symbol":"(⇁⨣⪵$1249$⪛$1279$)⊉≛↸((⨰⫟⨤$1208$)+($1026$≣⋋))⊭↱($1315$⨽$1964$)⊴(⊥$2393$)↬(($1269$/$3544$)⨸⪁$1672$⋥≓≎$1151$)","expression":"(⇁⨣⪵≮⫘↔10011100001⪛≮⫘↔10011111111)⊉≛↸((⨰⫟⨤≮⫘↔10010111000)+(≮⫘↔10000000010≣⋋))⊭↱(≮⫘↔10100100011⨽≮⫘↔11110101100)⊴(⊥≮⫘↔100101011001)↬((≮⫘↔10011110101/≮⫘↔110111011000)⨸⪁≮⫘↔11010001000⋥≓≎≮⫘↔10001111111)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5861,"operation_count":14,"complexity_ratio":418.64285714285717,"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":1249,"base":2},"right_expr":{"type":"numeric_atoms","value":1279,"base":2}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1208,"base":2}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1026,"base":2}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1315,"base":2},"right_expr":{"type":"numeric_atoms","value":1964,"base":2}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2393,"base":2}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1269,"base":2},"right_expr":{"type":"numeric_atoms","value":3544,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1672,"base":2},"right_expr":{"type":"numeric_atoms","value":1151,"base":2}}}}},"used_operators":["COABgblf1C","DZ8iAZOCBD","inkyxCbjAn","uFcxV4UQCh","W4YGzv6Whe","Tw270M8GLb","Tcnh7f0tEr","B5M0gjZbta","Nsiff2A1zJ","8HhzD0ZcuI","Q3PJZHRvZv","g55IO6H4Gj","XhwjNDsVaA","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1249","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=1279, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1249","layer":3},{"info":"compute unary expreesion, input=1249, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1208","layer":4},{"info":"compute unary expreesion, input=1208, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1026","layer":4},{"info":"compute unary expreesion, input=1026, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"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":1},{"info":"number node, value=1315","layer":4},{"info":"number node, value=1964","layer":4},{"info":"compute binary expreesion, left_input=1315, right_input=1964, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5192253","layer":3},{"info":"number node, value=2393","layer":4},{"info":"compute unary expreesion, input=2393, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5192253, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1269","layer":4},{"info":"number node, value=3544","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=3544, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1672","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=1672, right_input=1151, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=663","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=663, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=1326","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1326, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⇁⨣⪵≮⫘↔10011100001⪛≮⫘↔10011111111)⊉≛↸((⨰⫟⨤≮⫘↔10010111000)+(≮⫘↔10000000010≣⋋))⊭↱(≮⫘↔10100100011⨽≮⫘↔11110101100)⊴(⊥≮⫘↔100101011001)↬((≮⫘↔10011110101/≮⫘↔110111011000)⨸⪁≮⫘↔11010001000⋥≓≎≮⫘↔10001111111)=NaN","reverse_text":"NaN=(⇁⨣⪵≮⫘↔10011100001⪛≮⫘↔10011111111)⊉≛↸((⨰⫟⨤≮⫘↔10010111000)+(≮⫘↔10000000010≣⋋))⊭↱(≮⫘↔10100100011⨽≮⫘↔11110101100)⊴(⊥≮⫘↔100101011001)↬((≮⫘↔10011110101/≮⫘↔110111011000)⨸⪁≮⫘↔11010001000⋥≓≎≮⫘↔10001111111)","cot":[{"info":"≮⫘↔10011100001⪛≮⫘↔10011111111=≮⫘↔10011100001","layer":3},{"info":"⇁⨣⪵≮⫘↔10011100001=NaN","layer":2},{"info":"⨰⫟⨤≮⫘↔10010111000=NaN","layer":3},{"info":"≮⫘↔10000000010≣⋋=≮⫘↔0","layer":3},{"info":"NaN+≮⫘↔0=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"≮⫘↔10100100011⨽≮⫘↔11110101100=≮⫘↔-10011110011101000111101","layer":3},{"info":"⊥≮⫘↔100101011001=NaN","layer":3},{"info":"≮⫘↔-10011110011101000111101⊴NaN=NaN","layer":2},{"info":"≮⫘↔10011110101/≮⫘↔110111011000=≮⫘↔0","layer":3},{"info":"≮⫘↔11010001000⋥≓≎≮⫘↔10001111111=≮⫘↔1010010111","layer":3},{"info":"≮⫘↔0⨸⪁≮⫘↔1010010111=≮⫘↔10100101110","layer":2},{"info":"NaN↬≮⫘↔10100101110=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":751,"expression_no_base_symbol":"($2501$-$1858$⋷(⊄⩳↩$1333$))↙(($2159$≦≮≮)⇼⇔∾(⊙↵-$5021$))↺(($1490$⪐)≎⊠⪸$1334$≹⇙⪍$5181$)⨓(⊄⩳↩($2986$⨎$3237$))","expression":"(≮⫘↔100111000101-≮⫘↔11101000010⋷(⊄⩳↩≮⫘↔10100110101))↙((≮⫘↔100001101111≦≮≮)⇼⇔∾(⊙↵-≮⫘↔1001110011101))↺((≮⫘↔10111010010⪐)≎⊠⪸≮⫘↔10100110110≹⇙⪍≮⫘↔1010000111101)⨓(⊄⩳↩(≮⫘↔101110101010⨎≮⫘↔110010100101))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14817,"operation_count":14,"complexity_ratio":1058.357142857143,"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":2501,"base":2},"right_expr":{"type":"numeric_atoms","value":1858,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1333,"base":2}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2159,"base":2}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":5021,"base":2}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1490,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1334,"base":2},"right_expr":{"type":"numeric_atoms","value":5181,"base":2}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2986,"base":2},"right_expr":{"type":"numeric_atoms","value":3237,"base":2}}}}},"used_operators":["7j4O788W3g","yyfyN0ffXY","23Mk6UjR3U","rysDP5nf3Z","8w2t5hMYqp","tifHPKVTfV","D4vGDi5EA2","oWn0xqSxBt","3ViojmjbAp","bJkvcejdHO","eH2TOUuTDT","AHs5Up7iyr","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"≮⫘↔-10010111110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2501","layer":4},{"info":"number node, value=1858","layer":4},{"info":"compute binary expreesion, left_input=2501, right_input=1858, op_id = rysDP5nf3Z binary_op_definition= 'None', output=643","layer":3},{"info":"number node, value=1333","layer":4},{"info":"compute unary expreesion, input=1333, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3999","layer":3},{"info":"compute binary expreesion, left_input=643, right_input=-3999, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-8641","layer":2},{"info":"number node, value=2159","layer":4},{"info":"compute unary expreesion, input=2159, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6477","layer":3},{"info":"number node, value=5021","layer":4},{"info":"compute unary expreesion, input=5021, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-6477, right_input=-1, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=6476","layer":2},{"info":"compute binary expreesion, left_input=-8641, right_input=6476, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8641","layer":1},{"info":"number node, value=1490","layer":4},{"info":"compute unary expreesion, input=1490, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2980","layer":3},{"info":"number node, value=1334","layer":4},{"info":"number node, value=5181","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=5181, 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=2980, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=2986","layer":4},{"info":"number node, value=3237","layer":4},{"info":"compute binary expreesion, left_input=2986, right_input=3237, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3237","layer":3},{"info":"compute unary expreesion, input=3237, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9711","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-9711, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-9714","layer":1},{"info":"compute binary expreesion, left_input=-8641, right_input=-9714, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-9714","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100111000101-≮⫘↔11101000010⋷(⊄⩳↩≮⫘↔10100110101))↙((≮⫘↔100001101111≦≮≮)⇼⇔∾(⊙↵-≮⫘↔1001110011101))↺((≮⫘↔10111010010⪐)≎⊠⪸≮⫘↔10100110110≹⇙⪍≮⫘↔1010000111101)⨓(⊄⩳↩(≮⫘↔101110101010⨎≮⫘↔110010100101))=≮⫘↔-10010111110010","reverse_text":"≮⫘↔-10010111110010=(≮⫘↔100111000101-≮⫘↔11101000010⋷(⊄⩳↩≮⫘↔10100110101))↙((≮⫘↔100001101111≦≮≮)⇼⇔∾(⊙↵-≮⫘↔1001110011101))↺((≮⫘↔10111010010⪐)≎⊠⪸≮⫘↔10100110110≹⇙⪍≮⫘↔1010000111101)⨓(⊄⩳↩(≮⫘↔101110101010⨎≮⫘↔110010100101))","cot":[{"info":"≮⫘↔100111000101-≮⫘↔11101000010=≮⫘↔1010000011","layer":3},{"info":"⊄⩳↩≮⫘↔10100110101=≮⫘↔-111110011111","layer":3},{"info":"≮⫘↔1010000011⋷≮⫘↔-111110011111=≮⫘↔-10000111000001","layer":2},{"info":"≮⫘↔100001101111≦≮≮=≮⫘↔-1100101001101","layer":3},{"info":"⊙↵-≮⫘↔1001110011101=≮⫘↔-1","layer":3},{"info":"≮⫘↔-1100101001101⇼⇔∾≮⫘↔-1=≮⫘↔1100101001100","layer":2},{"info":"≮⫘↔-10000111000001↙≮⫘↔1100101001100=≮⫘↔-10000111000001","layer":1},{"info":"≮⫘↔10111010010⪐=≮⫘↔101110100100","layer":3},{"info":"≮⫘↔10100110110≹⇙⪍≮⫘↔1010000111101=NaN","layer":3},{"info":"≮⫘↔101110100100≎⊠⪸NaN=≮⫘↔1000011","layer":2},{"info":"≮⫘↔101110101010⨎≮⫘↔110010100101=≮⫘↔110010100101","layer":3},{"info":"⊄⩳↩≮⫘↔110010100101=≮⫘↔-10010111101111","layer":2},{"info":"≮⫘↔1000011⨓≮⫘↔-10010111101111=≮⫘↔-10010111110010","layer":1},{"info":"≮⫘↔-10000111000001↺≮⫘↔-10010111110010=≮⫘↔-10010111110010","layer":0}]}
{"id":752,"expression_no_base_symbol":"($1003$≧⫂∧$9199$)↬($3143$⇋≉)⪄((↩$1103$)⇼⇔∾$1690$≎⊠⪸$7203$)⨵⪆(⨈⫕($2020$≭$2852$-$3761$↬$3273$))","expression":"(≮⫘↔1111101011≧⫂∧≮⫘↔10001111101111)↬(≮⫘↔110001000111⇋≉)⪄((↩≮⫘↔10001001111)⇼⇔∾≮⫘↔11010011010≎⊠⪸≮⫘↔1110000100011)⨵⪆(⨈⫕(≮⫘↔11111100100≭≮⫘↔101100100100-≮⫘↔111010110001↬≮⫘↔110011001001))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":705,"operation_count":12,"complexity_ratio":58.75,"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":1003,"base":2},"right_expr":{"type":"numeric_atoms","value":9199,"base":2}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3143,"base":2}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1103,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1690,"base":2},"right_expr":{"type":"numeric_atoms","value":7203,"base":2}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2020,"base":2},"right_expr":{"type":"numeric_atoms","value":2852,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3761,"base":2},"right_expr":{"type":"numeric_atoms","value":3273,"base":2}}}}},"used_operators":["2DQ55sFlQl","SUmda5xLS4","B5M0gjZbta","Ph9nP6C5qx","XIabStNQrY","tifHPKVTfV","jLgFTUHLKL","bJkvcejdHO","megm06wKyl","rysDP5nf3Z","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1003","layer":4},{"info":"number node, value=9199","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=9199, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8726","layer":3},{"info":"number node, value=3143","layer":4},{"info":"compute unary expreesion, input=3143, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=6188","layer":3},{"info":"compute binary expreesion, left_input=8726, right_input=6188, 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=1103","layer":4},{"info":"compute unary expreesion, input=1103, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6044","layer":3},{"info":"number node, value=1690","layer":4},{"info":"number node, value=7203","layer":4},{"info":"compute binary expreesion, left_input=1690, right_input=7203, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=437237","layer":3},{"info":"compute binary expreesion, left_input=-6044, right_input=437237, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=443281","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=443281, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=2020","layer":4},{"info":"number node, value=2852","layer":4},{"info":"compute binary expreesion, left_input=2020, right_input=2852, 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=3761","layer":4},{"info":"number node, value=3273","layer":4},{"info":"compute binary expreesion, left_input=3761, right_input=3273, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=3979, right_input=-21, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1111101011≧⫂∧≮⫘↔10001111101111)↬(≮⫘↔110001000111⇋≉)⪄((↩≮⫘↔10001001111)⇼⇔∾≮⫘↔11010011010≎⊠⪸≮⫘↔1110000100011)⨵⪆(⨈⫕(≮⫘↔11111100100≭≮⫘↔101100100100-≮⫘↔111010110001↬≮⫘↔110011001001))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(≮⫘↔1111101011≧⫂∧≮⫘↔10001111101111)↬(≮⫘↔110001000111⇋≉)⪄((↩≮⫘↔10001001111)⇼⇔∾≮⫘↔11010011010≎⊠⪸≮⫘↔1110000100011)⨵⪆(⨈⫕(≮⫘↔11111100100≭≮⫘↔101100100100-≮⫘↔111010110001↬≮⫘↔110011001001))","cot":[{"info":"≮⫘↔1111101011≧⫂∧≮⫘↔10001111101111=≮⫘↔10001000010110","layer":3},{"info":"≮⫘↔110001000111⇋≉=≮⫘↔1100000101100","layer":3},{"info":"≮⫘↔10001000010110↬≮⫘↔1100000101100=NaN","layer":2},{"info":"↩≮⫘↔10001001111=≮⫘↔-1011110011100","layer":3},{"info":"≮⫘↔11010011010≎⊠⪸≮⫘↔1110000100011=≮⫘↔1101010101111110101","layer":3},{"info":"≮⫘↔-1011110011100⇼⇔∾≮⫘↔1101010101111110101=≮⫘↔1101100001110010001","layer":2},{"info":"NaN⪄≮⫘↔1101100001110010001=≮⫘↔111110001011","layer":1},{"info":"≮⫘↔11111100100≭≮⫘↔101100100100=NaN","layer":3},{"info":"≮⫘↔111010110001↬≮⫘↔110011001001=NaN","layer":3},{"info":"NaN-NaN=NaN","layer":2},{"info":"⨈⫕NaN=≮⫘↔-10101","layer":1},{"info":"≮⫘↔111110001011⨵⪆≮⫘↔-10101=≮⫘↔10100000","layer":0}]}
{"id":753,"expression_no_base_symbol":"(((∥⊫$2668$)⨪↰⇹($1702$⫥∨⫟$3082$))∀⇚≩((↩$1144$)⨎($1049$≋⫹)))≹⇙⪍((⨰⫟⨤$2813$)⋥≓≎($6151$⪄$2130$)⇼⇔∾($1170$+$1714$)⩷∴($5270$⫩⊇))","expression":"(((∥⊫≮⫘↔101001101100)⨪↰⇹(≮⫘↔11010100110⫥∨⫟≮⫘↔110000001010))∀⇚≩((↩≮⫘↔10001111000)⨎(≮⫘↔10000011001≋⫹)))≹⇙⪍((⨰⫟⨤≮⫘↔101011111101)⋥≓≎(≮⫘↔1100000000111⪄≮⫘↔100001010010)⇼⇔∾(≮⫘↔10010010010+≮⫘↔11010110010)⩷∴(≮⫘↔1010010010110⫩⊇))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":38987,"operation_count":15,"complexity_ratio":2599.133333333333,"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":2668,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1702,"base":2},"right_expr":{"type":"numeric_atoms","value":3082,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1144,"base":2}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1049,"base":2}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2813,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6151,"base":2},"right_expr":{"type":"numeric_atoms","value":2130,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1170,"base":2},"right_expr":{"type":"numeric_atoms","value":1714,"base":2}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":5270,"base":2}}}}},"used_operators":["AHs5Up7iyr","LRNGc0VcxI","tmPS8pqC7x","P8v4zCKN1o","KYD54nUTWz","rJVOvQCfKK","jLgFTUHLKL","N41Kp7NANJ","tifHPKVTfV","Qy55tPpLXF","Tw270M8GLb","SUmda5xLS4","9FxExcQeMw","W4YGzv6Whe","BjRHVeLaeN"],"dependent_operators":["dWAJyo7jo9","X99M06cbEe","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2668","layer":4},{"info":"compute unary expreesion, input=2668, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3536","layer":3},{"info":"number node, value=1702","layer":4},{"info":"number node, value=3082","layer":4},{"info":"compute binary expreesion, left_input=1702, right_input=3082, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3536, 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=3536","layer":2},{"info":"number node, value=1144","layer":4},{"info":"compute unary expreesion, input=1144, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6372","layer":3},{"info":"number node, value=1049","layer":4},{"info":"compute unary expreesion, input=1049, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2098","layer":3},{"info":"compute binary expreesion, left_input=-6372, right_input=-2098, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-2098","layer":2},{"info":"compute binary expreesion, left_input=3536, right_input=-2098, 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=2813","layer":4},{"info":"compute unary expreesion, input=2813, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=6151","layer":4},{"info":"number node, value=2130","layer":4},{"info":"compute binary expreesion, left_input=6151, right_input=2130, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-914957","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-914957, 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=1170","layer":4},{"info":"number node, value=1714","layer":4},{"info":"compute binary expreesion, left_input=1170, right_input=1714, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2884","layer":3},{"info":"number node, value=5270","layer":4},{"info":"compute unary expreesion, input=5270, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5228","layer":3},{"info":"compute binary expreesion, left_input=2884, right_input=-5228, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=16192","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=16192, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=16125","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=16125, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((∥⊫≮⫘↔101001101100)⨪↰⇹(≮⫘↔11010100110⫥∨⫟≮⫘↔110000001010))∀⇚≩((↩≮⫘↔10001111000)⨎(≮⫘↔10000011001≋⫹)))≹⇙⪍((⨰⫟⨤≮⫘↔101011111101)⋥≓≎(≮⫘↔1100000000111⪄≮⫘↔100001010010)⇼⇔∾(≮⫘↔10010010010+≮⫘↔11010110010)⩷∴(≮⫘↔1010010010110⫩⊇))=NaN","reverse_text":"NaN=(((∥⊫≮⫘↔101001101100)⨪↰⇹(≮⫘↔11010100110⫥∨⫟≮⫘↔110000001010))∀⇚≩((↩≮⫘↔10001111000)⨎(≮⫘↔10000011001≋⫹)))≹⇙⪍((⨰⫟⨤≮⫘↔101011111101)⋥≓≎(≮⫘↔1100000000111⪄≮⫘↔100001010010)⇼⇔∾(≮⫘↔10010010010+≮⫘↔11010110010)⩷∴(≮⫘↔1010010010110⫩⊇))","cot":[{"info":"∥⊫≮⫘↔101001101100=≮⫘↔110111010000","layer":3},{"info":"≮⫘↔11010100110⫥∨⫟≮⫘↔110000001010=NaN","layer":3},{"info":"≮⫘↔110111010000⨪↰⇹NaN=≮⫘↔110111010000","layer":2},{"info":"↩≮⫘↔10001111000=≮⫘↔-1100011100100","layer":3},{"info":"≮⫘↔10000011001≋⫹=≮⫘↔-100000110010","layer":3},{"info":"≮⫘↔-1100011100100⨎≮⫘↔-100000110010=≮⫘↔-100000110010","layer":2},{"info":"≮⫘↔110111010000∀⇚≩≮⫘↔-100000110010=NaN","layer":1},{"info":"⨰⫟⨤≮⫘↔101011111101=NaN","layer":3},{"info":"≮⫘↔1100000000111⪄≮⫘↔100001010010=≮⫘↔-11011111011000001101","layer":3},{"info":"NaN⋥≓≎≮⫘↔-11011111011000001101=≮⫘↔1000011","layer":2},{"info":"≮⫘↔10010010010+≮⫘↔11010110010=≮⫘↔101101000100","layer":3},{"info":"≮⫘↔1010010010110⫩⊇=≮⫘↔-1010001101100","layer":3},{"info":"≮⫘↔101101000100⩷∴≮⫘↔-1010001101100=≮⫘↔11111101000000","layer":2},{"info":"≮⫘↔1000011⇼⇔∾≮⫘↔11111101000000=≮⫘↔11111011111101","layer":1},{"info":"NaN≹⇙⪍≮⫘↔11111011111101=NaN","layer":0}]}
{"id":754,"expression_no_base_symbol":"⨞⊢($1229$⨳⩥⨓$1389$⨵⪆$1958$⨎$1386$)↬(↥(⩦⩻⨪$2391$))","expression":"⨞⊢(≮⫘↔10011001101⨳⩥⨓≮⫘↔10101101101⨵⪆≮⫘↔11110100110⨎≮⫘↔10101101010)↬(↥(⩦⩻⨪≮⫘↔100101010111))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":57,"operation_count":7,"complexity_ratio":8.142857142857142,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1229,"base":2},"right_expr":{"type":"numeric_atoms","value":1389,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1958,"base":2},"right_expr":{"type":"numeric_atoms","value":1386,"base":2}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2391,"base":2}}}}},"used_operators":["xUOZtlo3hN","B5M0gjZbta","2DQ55sFlQl","nCS4ZIUYfx","rJVOvQCfKK","A8NUZmVepG","2td37pGCOC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1229","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=1229, right_input=1389, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=160","layer":3},{"info":"number node, value=1958","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=1958, right_input=1386, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1386","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1386, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2391","layer":4},{"info":"compute unary expreesion, input=2391, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2391","layer":3},{"info":"compute unary expreesion, input=2391, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=45","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=45, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⨞⊢(≮⫘↔10011001101⨳⩥⨓≮⫘↔10101101101⨵⪆≮⫘↔11110100110⨎≮⫘↔10101101010)↬(↥(⩦⩻⨪≮⫘↔100101010111))=NaN","reverse_text":"NaN=⨞⊢(≮⫘↔10011001101⨳⩥⨓≮⫘↔10101101101⨵⪆≮⫘↔11110100110⨎≮⫘↔10101101010)↬(↥(⩦⩻⨪≮⫘↔100101010111))","cot":[{"info":"≮⫘↔10011001101⨳⩥⨓≮⫘↔10101101101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔11110100110⨎≮⫘↔10101101010=≮⫘↔10101101010","layer":3},{"info":"≮⫘↔10100000⨵⪆≮⫘↔10101101010=≮⫘↔10100000","layer":2},{"info":"⩦⩻⨪≮⫘↔100101010111=≮⫘↔100101010111","layer":3},{"info":"↥≮⫘↔100101010111=≮⫘↔101101","layer":2},{"info":"≮⫘↔10100000↬≮⫘↔101101=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":755,"expression_no_base_symbol":"(($2500$⨰$2848$⨵⪆$4966$↬$1139$)⋥≓≎(⨵≀≌(↥$3409$)))⇷(↣≠⋷(+⊝⨔($2143$≎⊠⪸$4024$)))","expression":"((≮⫘↔100111000100⨰≮⫘↔101100100000⨵⪆≮⫘↔1001101100110↬≮⫘↔10001110011)⋥≓≎(⨵≀≌(↥≮⫘↔110101010001)))⇷(↣≠⋷(+⊝⨔(≮⫘↔100001011111≎⊠⪸≮⫘↔111110111000)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":50437,"operation_count":10,"complexity_ratio":5043.7,"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":2500,"base":2},"right_expr":{"type":"numeric_atoms","value":2848,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4966,"base":2},"right_expr":{"type":"numeric_atoms","value":1139,"base":2}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3409,"base":2}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2143,"base":2},"right_expr":{"type":"numeric_atoms","value":4024,"base":2}}}}},"used_operators":["mp7IySMOzn","Qy55tPpLXF","2DQ55sFlQl","eewbuw0ToL","B5M0gjZbta","srAu1WTS94","A8NUZmVepG","Asc51vEJeQ","DhbWaqg5eL","bJkvcejdHO"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2500","layer":4},{"info":"number node, value=2848","layer":4},{"info":"compute binary expreesion, left_input=2500, right_input=2848, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-338","layer":3},{"info":"number node, value=4966","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=4966, right_input=1139, 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=-338, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=3409","layer":4},{"info":"compute unary expreesion, input=3409, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=43","layer":3},{"info":"compute unary expreesion, input=43, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=1849","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=1849, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3571","layer":1},{"info":"number node, value=2143","layer":4},{"info":"number node, value=4024","layer":4},{"info":"compute binary expreesion, left_input=2143, right_input=4024, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=554564","layer":3},{"info":"compute unary expreesion, input=554564, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3571, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100111000100⨰≮⫘↔101100100000⨵⪆≮⫘↔1001101100110↬≮⫘↔10001110011)⋥≓≎(⨵≀≌(↥≮⫘↔110101010001)))⇷(↣≠⋷(+⊝⨔(≮⫘↔100001011111≎⊠⪸≮⫘↔111110111000)))=NaN","reverse_text":"NaN=((≮⫘↔100111000100⨰≮⫘↔101100100000⨵⪆≮⫘↔1001101100110↬≮⫘↔10001110011)⋥≓≎(⨵≀≌(↥≮⫘↔110101010001)))⇷(↣≠⋷(+⊝⨔(≮⫘↔100001011111≎⊠⪸≮⫘↔111110111000)))","cot":[{"info":"≮⫘↔100111000100⨰≮⫘↔101100100000=≮⫘↔-101010010","layer":3},{"info":"≮⫘↔1001101100110↬≮⫘↔10001110011=NaN","layer":3},{"info":"≮⫘↔-101010010⨵⪆NaN=≮⫘↔10100000","layer":2},{"info":"↥≮⫘↔110101010001=≮⫘↔101011","layer":3},{"info":"⨵≀≌≮⫘↔101011=≮⫘↔11100111001","layer":2},{"info":"≮⫘↔10100000⋥≓≎≮⫘↔11100111001=≮⫘↔110111110011","layer":1},{"info":"≮⫘↔100001011111≎⊠⪸≮⫘↔111110111000=≮⫘↔10000111011001000100","layer":3},{"info":"+⊝⨔≮⫘↔10000111011001000100=≮⫘↔10111110010","layer":2},{"info":"↣≠⋷≮⫘↔10111110010=NaN","layer":1},{"info":"≮⫘↔110111110011⇷NaN=NaN","layer":0}]}
{"id":756,"expression_no_base_symbol":"((⨰⫟⨤$1212$)⋷$1458$⪄$4718$)⩚⊴⇥($2559$⪛$1554$⩨(⨈⫕$5335$))⊭↱((∂$1021$)⊭↱($6137$⪨≂$1066$))⋓($2409$⩨$5270$⊭↱(⪲⇎$1105$))","expression":"((⨰⫟⨤≮⫘↔10010111100)⋷≮⫘↔10110110010⪄≮⫘↔1001001101110)⩚⊴⇥(≮⫘↔100111111111⪛≮⫘↔11000010010⩨(⨈⫕≮⫘↔1010011010111))⊭↱((∂≮⫘↔1111111101)⊭↱(≮⫘↔1011111111001⪨≂≮⫘↔10000101010))⋓(≮⫘↔100101101001⩨≮⫘↔1010010010110⊭↱(⪲⇎≮⫘↔10001010001))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4546,"operation_count":15,"complexity_ratio":303.06666666666666,"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":1212,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1458,"base":2},"right_expr":{"type":"numeric_atoms","value":4718,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2559,"base":2},"right_expr":{"type":"numeric_atoms","value":1554,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5335,"base":2}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1021,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6137,"base":2},"right_expr":{"type":"numeric_atoms","value":1066,"base":2}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2409,"base":2},"right_expr":{"type":"numeric_atoms","value":5270,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1105,"base":2}}}}},"used_operators":["COABgblf1C","NTOWxs364D","23Mk6UjR3U","Tw270M8GLb","SUmda5xLS4","2DlMacCsIx","uFcxV4UQCh","megm06wKyl","T2fj7uvVaJ","Uaa54Peajs","sdazOOVcIp","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1212","layer":4},{"info":"compute unary expreesion, input=1212, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1458","layer":4},{"info":"number node, value=4718","layer":4},{"info":"compute binary expreesion, left_input=1458, right_input=4718, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-230745","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-230745, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=2559","layer":4},{"info":"number node, value=1554","layer":4},{"info":"compute binary expreesion, left_input=2559, right_input=1554, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1005","layer":3},{"info":"number node, value=5335","layer":4},{"info":"compute unary expreesion, input=5335, 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=1005, right_input=-21, 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=nan, right_input=3, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=1021","layer":4},{"info":"compute unary expreesion, input=1021, 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=6137","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=6137, right_input=1066, 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=10244","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10244, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=2409","layer":4},{"info":"number node, value=5270","layer":4},{"info":"compute binary expreesion, left_input=2409, right_input=5270, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=1105","layer":4},{"info":"compute unary expreesion, input=1105, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2210","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=2210, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4437","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4437, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨰⫟⨤≮⫘↔10010111100)⋷≮⫘↔10110110010⪄≮⫘↔1001001101110)⩚⊴⇥(≮⫘↔100111111111⪛≮⫘↔11000010010⩨(⨈⫕≮⫘↔1010011010111))⊭↱((∂≮⫘↔1111111101)⊭↱(≮⫘↔1011111111001⪨≂≮⫘↔10000101010))⋓(≮⫘↔100101101001⩨≮⫘↔1010010010110⊭↱(⪲⇎≮⫘↔10001010001))=NaN","reverse_text":"NaN=((⨰⫟⨤≮⫘↔10010111100)⋷≮⫘↔10110110010⪄≮⫘↔1001001101110)⩚⊴⇥(≮⫘↔100111111111⪛≮⫘↔11000010010⩨(⨈⫕≮⫘↔1010011010111))⊭↱((∂≮⫘↔1111111101)⊭↱(≮⫘↔1011111111001⪨≂≮⫘↔10000101010))⋓(≮⫘↔100101101001⩨≮⫘↔1010010010110⊭↱(⪲⇎≮⫘↔10001010001))","cot":[{"info":"⨰⫟⨤≮⫘↔10010111100=NaN","layer":3},{"info":"≮⫘↔10110110010⪄≮⫘↔1001001101110=≮⫘↔-111000010101011001","layer":3},{"info":"NaN⋷≮⫘↔-111000010101011001=NaN","layer":2},{"info":"≮⫘↔100111111111⪛≮⫘↔11000010010=≮⫘↔1111101101","layer":3},{"info":"⨈⫕≮⫘↔1010011010111=≮⫘↔-10101","layer":3},{"info":"≮⫘↔1111101101⩨≮⫘↔-10101=≮⫘↔11","layer":2},{"info":"NaN⩚⊴⇥≮⫘↔11=NaN","layer":1},{"info":"∂≮⫘↔1111111101=NaN","layer":3},{"info":"≮⫘↔1011111111001⪨≂≮⫘↔10000101010=≮⫘↔10100000000100","layer":3},{"info":"NaN⊭↱≮⫘↔10100000000100=NaN","layer":2},{"info":"≮⫘↔100101101001⩨≮⫘↔1010010010110=≮⫘↔-110","layer":3},{"info":"⪲⇎≮⫘↔10001010001=≮⫘↔100010100010","layer":3},{"info":"≮⫘↔-110⊭↱≮⫘↔100010100010=≮⫘↔1000101010101","layer":2},{"info":"NaN⋓≮⫘↔1000101010101=≮⫘↔0","layer":1},{"info":"NaN⊭↱≮⫘↔0=NaN","layer":0}]}
{"id":757,"expression_no_base_symbol":"(($1315$/$2957$)⊘)⪄(↽≂$2293$)⋓($2501$⪄$2455$)⫡⨏(((+⊝⨔$3277$)⊘)⪨≂$5243$⋝⋈⪟$3146$%($2840$⩤))","expression":"((≮⫘↔10100100011/≮⫘↔101110001101)⊘)⪄(↽≂≮⫘↔100011110101)⋓(≮⫘↔100111000101⪄≮⫘↔100110010111)⫡⨏(((+⊝⨔≮⫘↔110011001101)⊘)⪨≂≮⫘↔1010001111011⋝⋈⪟≮⫘↔110001001010%(≮⫘↔101100011000⩤))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":234,"operation_count":13,"complexity_ratio":18.0,"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":1315,"base":2},"right_expr":{"type":"numeric_atoms","value":2957,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2293,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2501,"base":2},"right_expr":{"type":"numeric_atoms","value":2455,"base":2}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3277,"base":2}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5243,"base":2},"right_expr":{"type":"numeric_atoms","value":3146,"base":2}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2840,"base":2}}}}},"used_operators":["QMFrweE19q","SUmda5xLS4","gu96TGCTMs","XhwjNDsVaA","T2fj7uvVaJ","u6S6b8DprG","sdazOOVcIp","DhbWaqg5eL","k8jYdgA6NY","2DDjHMKMc0","Z2TMIBDE3Q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔101011100010010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1315","layer":4},{"info":"number node, value=2957","layer":4},{"info":"compute binary expreesion, left_input=1315, right_input=2957, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, 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":2},{"info":"number node, value=2293","layer":4},{"info":"compute unary expreesion, input=2293, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4586","layer":3},{"info":"number node, value=2501","layer":4},{"info":"number node, value=2455","layer":4},{"info":"compute binary expreesion, left_input=2501, right_input=2455, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-376057","layer":3},{"info":"compute binary expreesion, left_input=-4586, right_input=-376057, 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3911","layer":1},{"info":"number node, value=3277","layer":4},{"info":"compute unary expreesion, input=3277, 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 = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"number node, value=5243","layer":4},{"info":"number node, value=3146","layer":4},{"info":"compute binary expreesion, left_input=5243, right_input=3146, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5243","layer":3},{"info":"number node, value=2840","layer":4},{"info":"compute unary expreesion, input=2840, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2840","layer":3},{"info":"compute binary expreesion, left_input=5243, right_input=-2840, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-437","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-437, 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=976","layer":1},{"info":"compute binary expreesion, left_input=3911, right_input=976, 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=22290","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10100100011/≮⫘↔101110001101)⊘)⪄(↽≂≮⫘↔100011110101)⋓(≮⫘↔100111000101⪄≮⫘↔100110010111)⫡⨏(((+⊝⨔≮⫘↔110011001101)⊘)⪨≂≮⫘↔1010001111011⋝⋈⪟≮⫘↔110001001010%(≮⫘↔101100011000⩤))=≮⫘↔101011100010010","reverse_text":"≮⫘↔101011100010010=((≮⫘↔10100100011/≮⫘↔101110001101)⊘)⪄(↽≂≮⫘↔100011110101)⋓(≮⫘↔100111000101⪄≮⫘↔100110010111)⫡⨏(((+⊝⨔≮⫘↔110011001101)⊘)⪨≂≮⫘↔1010001111011⋝⋈⪟≮⫘↔110001001010%(≮⫘↔101100011000⩤))","cot":[{"info":"≮⫘↔10100100011/≮⫘↔101110001101=≮⫘↔0","layer":3},{"info":"≮⫘↔0⊘=≮⫘↔0","layer":2},{"info":"↽≂≮⫘↔100011110101=≮⫘↔-1000111101010","layer":3},{"info":"≮⫘↔100111000101⪄≮⫘↔100110010111=≮⫘↔-1011011110011111001","layer":3},{"info":"≮⫘↔-1000111101010⋓≮⫘↔-1011011110011111001=≮⫘↔0","layer":2},{"info":"≮⫘↔0⪄≮⫘↔0=≮⫘↔111101000111","layer":1},{"info":"+⊝⨔≮⫘↔110011001101=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔10111110010⊘=≮⫘↔0","layer":2},{"info":"≮⫘↔1010001111011⋝⋈⪟≮⫘↔110001001010=≮⫘↔1010001111011","layer":3},{"info":"≮⫘↔101100011000⩤=≮⫘↔-101100011000","layer":3},{"info":"≮⫘↔1010001111011%≮⫘↔-101100011000=≮⫘↔-110110101","layer":2},{"info":"≮⫘↔0⪨≂≮⫘↔-110110101=≮⫘↔1111010000","layer":1},{"info":"≮⫘↔111101000111⫡⨏≮⫘↔1111010000=≮⫘↔101011100010010","layer":0}]}
{"id":758,"expression_no_base_symbol":"(($4340$⋝⋈⪟$3249$)⪢($2037$⫸⊐$1591$)⇼⇔∾($2711$⩨$6441$⩨($2706$⇼⇔∾$3744$)))⇷((($6041$⪒$1486$)⇋≉)↪⪝)","expression":"((≮⫘↔1000011110100⋝⋈⪟≮⫘↔110010110001)⪢(≮⫘↔11111110101⫸⊐≮⫘↔11000110111)⇼⇔∾(≮⫘↔101010010111⩨≮⫘↔1100100101001⩨(≮⫘↔101010010010⇼⇔∾≮⫘↔111010100000)))⇷(((≮⫘↔1011110011001⪒≮⫘↔10111001110)⇋≉)↪⪝)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7166,"operation_count":11,"complexity_ratio":651.4545454545455,"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":4340,"base":2},"right_expr":{"type":"numeric_atoms","value":3249,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2037,"base":2},"right_expr":{"type":"numeric_atoms","value":1591,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2711,"base":2},"right_expr":{"type":"numeric_atoms","value":6441,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2706,"base":2},"right_expr":{"type":"numeric_atoms","value":3744,"base":2}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6041,"base":2},"right_expr":{"type":"numeric_atoms","value":1486,"base":2}}}}},"used_operators":["mp7IySMOzn","tifHPKVTfV","dWAJyo7jo9","2DDjHMKMc0","mqXw5SEYmG","2DlMacCsIx","l07mrZUIn9","XIabStNQrY","f6k1SAg4EE"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4340","layer":4},{"info":"number node, value=3249","layer":4},{"info":"compute binary expreesion, left_input=4340, right_input=3249, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4340","layer":3},{"info":"number node, value=2037","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=2037, right_input=1591, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6239","layer":3},{"info":"compute binary expreesion, left_input=4340, right_input=6239, 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=2711","layer":4},{"info":"number node, value=6441","layer":4},{"info":"compute binary expreesion, left_input=2711, right_input=6441, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=2706","layer":4},{"info":"number node, value=3744","layer":4},{"info":"compute binary expreesion, left_input=2706, right_input=3744, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1038","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=1038, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=519","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=519, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=6041","layer":4},{"info":"number node, value=1486","layer":4},{"info":"compute binary expreesion, left_input=6041, right_input=1486, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7527","layer":3},{"info":"compute unary expreesion, input=-7527, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-15152","layer":2},{"info":"compute unary expreesion, input=-15152, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-927029664","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-927029664, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1000011110100⋝⋈⪟≮⫘↔110010110001)⪢(≮⫘↔11111110101⫸⊐≮⫘↔11000110111)⇼⇔∾(≮⫘↔101010010111⩨≮⫘↔1100100101001⩨(≮⫘↔101010010010⇼⇔∾≮⫘↔111010100000)))⇷(((≮⫘↔1011110011001⪒≮⫘↔10111001110)⇋≉)↪⪝)=NaN","reverse_text":"NaN=((≮⫘↔1000011110100⋝⋈⪟≮⫘↔110010110001)⪢(≮⫘↔11111110101⫸⊐≮⫘↔11000110111)⇼⇔∾(≮⫘↔101010010111⩨≮⫘↔1100100101001⩨(≮⫘↔101010010010⇼⇔∾≮⫘↔111010100000)))⇷(((≮⫘↔1011110011001⪒≮⫘↔10111001110)⇋≉)↪⪝)","cot":[{"info":"≮⫘↔1000011110100⋝⋈⪟≮⫘↔110010110001=≮⫘↔1000011110100","layer":3},{"info":"≮⫘↔11111110101⫸⊐≮⫘↔11000110111=≮⫘↔1100001011111","layer":3},{"info":"≮⫘↔1000011110100⪢≮⫘↔1100001011111=NaN","layer":2},{"info":"≮⫘↔101010010111⩨≮⫘↔1100100101001=≮⫘↔-110","layer":3},{"info":"≮⫘↔101010010010⇼⇔∾≮⫘↔111010100000=≮⫘↔10000001110","layer":3},{"info":"≮⫘↔-110⩨≮⫘↔10000001110=≮⫘↔1000000111","layer":2},{"info":"NaN⇼⇔∾≮⫘↔1000000111=NaN","layer":1},{"info":"≮⫘↔1011110011001⪒≮⫘↔10111001110=≮⫘↔-1110101100111","layer":3},{"info":"≮⫘↔-1110101100111⇋≉=≮⫘↔-11101100110000","layer":2},{"info":"≮⫘↔-11101100110000↪⪝=≮⫘↔-110111010000010101100110100000","layer":1},{"info":"NaN⇷≮⫘↔-110111010000010101100110100000=NaN","layer":0}]}
{"id":759,"expression_no_base_symbol":"($4823$⪮%⊝$1070$)⪢($2702$⇷$1013$)⪛((⨞⊢$2041$)≭($8117$⪐))⨰((⨞⊢($2277$⫸⊐$5049$))⨽(⫛⫱⨽$1369$)⋓($1928$⊭↱$7057$))","expression":"(≮⫘↔1001011010111⪮%⊝≮⫘↔10000101110)⪢(≮⫘↔101010001110⇷≮⫘↔1111110101)⪛((⨞⊢≮⫘↔11111111001)≭(≮⫘↔1111110110101⪐))⨰((⨞⊢(≮⫘↔100011100101⫸⊐≮⫘↔1001110111001))⨽(⫛⫱⨽≮⫘↔10101011001)⋓(≮⫘↔11110001000⊭↱≮⫘↔1101110010001))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":62248,"operation_count":14,"complexity_ratio":4446.285714285715,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4823,"base":2},"right_expr":{"type":"numeric_atoms","value":1070,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2702,"base":2},"right_expr":{"type":"numeric_atoms","value":1013,"base":2}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2041,"base":2}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":8117,"base":2}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2277,"base":2},"right_expr":{"type":"numeric_atoms","value":5049,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1369,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1928,"base":2},"right_expr":{"type":"numeric_atoms","value":7057,"base":2}}}}},"used_operators":["eewbuw0ToL","uFcxV4UQCh","dWAJyo7jo9","IWmyXbctLI","mp7IySMOzn","rxpJgHHUmx","xUOZtlo3hN","eH2TOUuTDT","8HhzD0ZcuI","mqXw5SEYmG","T2fj7uvVaJ","DlLNRPXxWL","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4823","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=4823, right_input=1070, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9962","layer":3},{"info":"number node, value=2702","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=2702, right_input=1013, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2026","layer":3},{"info":"compute binary expreesion, left_input=9962, right_input=2026, 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=2041","layer":4},{"info":"compute unary expreesion, input=2041, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2215","layer":3},{"info":"number node, value=8117","layer":4},{"info":"compute unary expreesion, input=8117, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=16234","layer":3},{"info":"compute binary expreesion, left_input=-2215, right_input=16234, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=2277","layer":4},{"info":"number node, value=5049","layer":4},{"info":"compute binary expreesion, left_input=2277, right_input=5049, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=20071","layer":3},{"info":"compute unary expreesion, input=20071, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-20245","layer":2},{"info":"number node, value=1369","layer":4},{"info":"compute unary expreesion, input=1369, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1928","layer":4},{"info":"number node, value=7057","layer":4},{"info":"compute binary expreesion, left_input=1928, right_input=7057, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=10263","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=10263, 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=-20245, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-1229578761","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1229578761, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1001011010111⪮%⊝≮⫘↔10000101110)⪢(≮⫘↔101010001110⇷≮⫘↔1111110101)⪛((⨞⊢≮⫘↔11111111001)≭(≮⫘↔1111110110101⪐))⨰((⨞⊢(≮⫘↔100011100101⫸⊐≮⫘↔1001110111001))⨽(⫛⫱⨽≮⫘↔10101011001)⋓(≮⫘↔11110001000⊭↱≮⫘↔1101110010001))=NaN","reverse_text":"NaN=(≮⫘↔1001011010111⪮%⊝≮⫘↔10000101110)⪢(≮⫘↔101010001110⇷≮⫘↔1111110101)⪛((⨞⊢≮⫘↔11111111001)≭(≮⫘↔1111110110101⪐))⨰((⨞⊢(≮⫘↔100011100101⫸⊐≮⫘↔1001110111001))⨽(⫛⫱⨽≮⫘↔10101011001)⋓(≮⫘↔11110001000⊭↱≮⫘↔1101110010001))","cot":[{"info":"≮⫘↔1001011010111⪮%⊝≮⫘↔10000101110=≮⫘↔10011011101010","layer":3},{"info":"≮⫘↔101010001110⇷≮⫘↔1111110101=≮⫘↔11111101010","layer":3},{"info":"≮⫘↔10011011101010⪢≮⫘↔11111101010=NaN","layer":2},{"info":"⨞⊢≮⫘↔11111111001=≮⫘↔-100010100111","layer":3},{"info":"≮⫘↔1111110110101⪐=≮⫘↔11111101101010","layer":3},{"info":"≮⫘↔-100010100111≭≮⫘↔11111101101010=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"≮⫘↔100011100101⫸⊐≮⫘↔1001110111001=≮⫘↔100111001100111","layer":3},{"info":"⨞⊢≮⫘↔100111001100111=≮⫘↔-100111100010101","layer":2},{"info":"⫛⫱⨽≮⫘↔10101011001=≮⫘↔0","layer":3},{"info":"≮⫘↔11110001000⊭↱≮⫘↔1101110010001=≮⫘↔10100000010111","layer":3},{"info":"≮⫘↔0⋓≮⫘↔10100000010111=≮⫘↔0","layer":2},{"info":"≮⫘↔-100111100010101⨽≮⫘↔0=≮⫘↔-1001001010010011110001000001001","layer":1},{"info":"NaN⨰≮⫘↔-1001001010010011110001000001001=NaN","layer":0}]}
{"id":760,"expression_no_base_symbol":"⫛⫱⨽((⊙↵-($1021$⊘))⨎($5486$⊴$1674$⩨$3131$⪢$2788$))","expression":"⫛⫱⨽((⊙↵-(≮⫘↔1111111101⊘))⨎(≮⫘↔1010101101110⊴≮⫘↔11010001010⩨≮⫘↔110000111011⪢≮⫘↔101011100100))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":11042,"operation_count":7,"complexity_ratio":1577.4285714285713,"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":1021,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5486,"base":2},"right_expr":{"type":"numeric_atoms","value":1674,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3131,"base":2},"right_expr":{"type":"numeric_atoms","value":2788,"base":2}}}}},"used_operators":["DlLNRPXxWL","rJVOvQCfKK","oWn0xqSxBt","gu96TGCTMs","2DlMacCsIx","Nsiff2A1zJ","dWAJyo7jo9"],"dependent_operators":["rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","14qkJME0vr","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1021","layer":4},{"info":"compute unary expreesion, input=1021, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"number node, value=5486","layer":4},{"info":"number node, value=1674","layer":4},{"info":"compute binary expreesion, left_input=5486, right_input=1674, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3131","layer":4},{"info":"number node, value=2788","layer":4},{"info":"compute binary expreesion, left_input=3131, right_input=2788, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⫛⫱⨽((⊙↵-(≮⫘↔1111111101⊘))⨎(≮⫘↔1010101101110⊴≮⫘↔11010001010⩨≮⫘↔110000111011⪢≮⫘↔101011100100))=NaN","reverse_text":"NaN=⫛⫱⨽((⊙↵-(≮⫘↔1111111101⊘))⨎(≮⫘↔1010101101110⊴≮⫘↔11010001010⩨≮⫘↔110000111011⪢≮⫘↔101011100100))","cot":[{"info":"≮⫘↔1111111101⊘=≮⫘↔0","layer":3},{"info":"⊙↵-≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔1010101101110⊴≮⫘↔11010001010=NaN","layer":3},{"info":"≮⫘↔110000111011⪢≮⫘↔101011100100=NaN","layer":3},{"info":"NaN⩨NaN=NaN","layer":2},{"info":"≮⫘↔0⨎NaN=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":761,"expression_no_base_symbol":"(($3210$⩠)⨪↰⇹(⫛⫱⨽$6944$)⨓($1723$⋳⪒$4798$⨽$1565$⪢$5195$))↬((≤/$1032$)⫸⊐$1836$⊴$3570$)↬($3876$⫸⊐$3106$⪨≂$4897$⨐⩸⫘$5912$)","expression":"((≮⫘↔110010001010⩠)⨪↰⇹(⫛⫱⨽≮⫘↔1101100100000)⨓(≮⫘↔11010111011⋳⪒≮⫘↔1001010111110⨽≮⫘↔11000011101⪢≮⫘↔1010001001011))↬((≤/≮⫘↔10000001000)⫸⊐≮⫘↔11100101100⊴≮⫘↔110111110010)↬(≮⫘↔111100100100⫸⊐≮⫘↔110000100010⪨≂≮⫘↔1001100100001⨐⩸⫘≮⫘↔1011100011000)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11911,"operation_count":15,"complexity_ratio":794.0666666666667,"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":3210,"base":2}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":6944,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1723,"base":2},"right_expr":{"type":"numeric_atoms","value":4798,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1565,"base":2},"right_expr":{"type":"numeric_atoms","value":5195,"base":2}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1032,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1836,"base":2},"right_expr":{"type":"numeric_atoms","value":3570,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3876,"base":2},"right_expr":{"type":"numeric_atoms","value":3106,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4897,"base":2},"right_expr":{"type":"numeric_atoms","value":5912,"base":2}}}}},"used_operators":["B5M0gjZbta","3ViojmjbAp","tmPS8pqC7x","sJAwomhLZr","DlLNRPXxWL","8HhzD0ZcuI","12rbrZMWeM","dWAJyo7jo9","mqXw5SEYmG","eLAdDNolq6","Nsiff2A1zJ","sdazOOVcIp","fu6greOZ01"],"dependent_operators":["rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3210","layer":4},{"info":"compute unary expreesion, input=3210, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=6944","layer":4},{"info":"compute unary expreesion, input=6944, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, 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=0","layer":2},{"info":"number node, value=1723","layer":4},{"info":"number node, value=4798","layer":4},{"info":"compute binary expreesion, left_input=1723, right_input=4798, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1639","layer":3},{"info":"number node, value=1565","layer":4},{"info":"number node, value=5195","layer":4},{"info":"compute binary expreesion, left_input=1565, right_input=5195, 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=-1639, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=1032","layer":4},{"info":"compute unary expreesion, input=1032, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-548","layer":3},{"info":"number node, value=1836","layer":4},{"info":"number node, value=3570","layer":4},{"info":"compute binary expreesion, left_input=1836, right_input=3570, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-548, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"number node, value=3876","layer":4},{"info":"number node, value=3106","layer":4},{"info":"compute binary expreesion, left_input=3876, right_input=3106, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12299","layer":3},{"info":"number node, value=4897","layer":4},{"info":"number node, value=5912","layer":4},{"info":"compute binary expreesion, left_input=4897, right_input=5912, 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=12299, 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":2},{"info":"compute binary expreesion, left_input=968, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110010001010⩠)⨪↰⇹(⫛⫱⨽≮⫘↔1101100100000)⨓(≮⫘↔11010111011⋳⪒≮⫘↔1001010111110⨽≮⫘↔11000011101⪢≮⫘↔1010001001011))↬((≤/≮⫘↔10000001000)⫸⊐≮⫘↔11100101100⊴≮⫘↔110111110010)↬(≮⫘↔111100100100⫸⊐≮⫘↔110000100010⪨≂≮⫘↔1001100100001⨐⩸⫘≮⫘↔1011100011000)=NaN","reverse_text":"NaN=((≮⫘↔110010001010⩠)⨪↰⇹(⫛⫱⨽≮⫘↔1101100100000)⨓(≮⫘↔11010111011⋳⪒≮⫘↔1001010111110⨽≮⫘↔11000011101⪢≮⫘↔1010001001011))↬((≤/≮⫘↔10000001000)⫸⊐≮⫘↔11100101100⊴≮⫘↔110111110010)↬(≮⫘↔111100100100⫸⊐≮⫘↔110000100010⪨≂≮⫘↔1001100100001⨐⩸⫘≮⫘↔1011100011000)","cot":[{"info":"≮⫘↔110010001010⩠=≮⫘↔0","layer":3},{"info":"⫛⫱⨽≮⫘↔1101100100000=≮⫘↔0","layer":3},{"info":"≮⫘↔0⨪↰⇹≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔11010111011⋳⪒≮⫘↔1001010111110=≮⫘↔-11001100111","layer":3},{"info":"≮⫘↔11000011101⪢≮⫘↔1010001001011=NaN","layer":3},{"info":"≮⫘↔-11001100111⨽NaN=NaN","layer":2},{"info":"≮⫘↔0⨓NaN=NaN","layer":1},{"info":"≤/≮⫘↔10000001000=≮⫘↔-1000100100","layer":3},{"info":"≮⫘↔11100101100⊴≮⫘↔110111110010=NaN","layer":3},{"info":"≮⫘↔-1000100100⫸⊐NaN=≮⫘↔1111001000","layer":2},{"info":"≮⫘↔111100100100⫸⊐≮⫘↔110000100010=≮⫘↔11000000001011","layer":3},{"info":"≮⫘↔1001100100001⨐⩸⫘≮⫘↔1011100011000=NaN","layer":3},{"info":"≮⫘↔11000000001011⪨≂NaN=NaN","layer":2},{"info":"≮⫘↔1111001000↬NaN=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":762,"expression_no_base_symbol":"((≉$9240$)⨟⋌⩍$1736$⊴$1386$⫥∨⫟((∥⊫$2364$)%$4339$⇷$5111$))≭((≦∁($2279$⪨≂$1644$))/$1811$⊴$1406$⨽($1107$↙$1153$))","expression":"((≉≮⫘↔10010000011000)⨟⋌⩍≮⫘↔11011001000⊴≮⫘↔10101101010⫥∨⫟((∥⊫≮⫘↔100100111100)%≮⫘↔1000011110011⇷≮⫘↔1001111110111))≭((≦∁(≮⫘↔100011100111⪨≂≮⫘↔11001101100))/≮⫘↔11100010011⊴≮⫘↔10101111110⨽(≮⫘↔10001010011↙≮⫘↔10010000001))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":67684,"operation_count":14,"complexity_ratio":4834.571428571428,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":9240,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1736,"base":2},"right_expr":{"type":"numeric_atoms","value":1386,"base":2}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2364,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4339,"base":2},"right_expr":{"type":"numeric_atoms","value":5111,"base":2}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2279,"base":2},"right_expr":{"type":"numeric_atoms","value":1644,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1811,"base":2},"right_expr":{"type":"numeric_atoms","value":1406,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1107,"base":2},"right_expr":{"type":"numeric_atoms","value":1153,"base":2}}}}},"used_operators":["rxpJgHHUmx","KYD54nUTWz","rGHVDoGpnC","e1ybzncUwg","Nsiff2A1zJ","k8jYdgA6NY","P8v4zCKN1o","mp7IySMOzn","XhwjNDsVaA","9ICcGScMcE","sdazOOVcIp","8HhzD0ZcuI","yyfyN0ffXY"],"dependent_operators":["AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=9240","layer":4},{"info":"compute unary expreesion, input=9240, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=9771","layer":3},{"info":"number node, value=1736","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=1736, right_input=1386, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9771, 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":"number node, value=2364","layer":4},{"info":"compute unary expreesion, input=2364, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3232","layer":3},{"info":"number node, value=4339","layer":4},{"info":"number node, value=5111","layer":4},{"info":"compute binary expreesion, left_input=4339, right_input=5111, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10222","layer":3},{"info":"compute binary expreesion, left_input=3232, right_input=10222, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3232","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3232, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=2279","layer":4},{"info":"number node, value=1644","layer":4},{"info":"compute binary expreesion, left_input=2279, right_input=1644, 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=1372","layer":3},{"info":"compute unary expreesion, input=1372, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1372","layer":2},{"info":"number node, value=1811","layer":4},{"info":"number node, value=1406","layer":4},{"info":"compute binary expreesion, left_input=1811, right_input=1406, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1107","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=1153, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3459","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3459, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1372, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≉≮⫘↔10010000011000)⨟⋌⩍≮⫘↔11011001000⊴≮⫘↔10101101010⫥∨⫟((∥⊫≮⫘↔100100111100)%≮⫘↔1000011110011⇷≮⫘↔1001111110111))≭((≦∁(≮⫘↔100011100111⪨≂≮⫘↔11001101100))/≮⫘↔11100010011⊴≮⫘↔10101111110⨽(≮⫘↔10001010011↙≮⫘↔10010000001))=NaN","reverse_text":"NaN=((≉≮⫘↔10010000011000)⨟⋌⩍≮⫘↔11011001000⊴≮⫘↔10101101010⫥∨⫟((∥⊫≮⫘↔100100111100)%≮⫘↔1000011110011⇷≮⫘↔1001111110111))≭((≦∁(≮⫘↔100011100111⪨≂≮⫘↔11001101100))/≮⫘↔11100010011⊴≮⫘↔10101111110⨽(≮⫘↔10001010011↙≮⫘↔10010000001))","cot":[{"info":"≉≮⫘↔10010000011000=≮⫘↔10011000101011","layer":3},{"info":"≮⫘↔11011001000⊴≮⫘↔10101101010=NaN","layer":3},{"info":"≮⫘↔10011000101011⨟⋌⩍NaN=NaN","layer":2},{"info":"∥⊫≮⫘↔100100111100=≮⫘↔110010100000","layer":3},{"info":"≮⫘↔1000011110011⇷≮⫘↔1001111110111=≮⫘↔10011111101110","layer":3},{"info":"≮⫘↔110010100000%≮⫘↔10011111101110=≮⫘↔110010100000","layer":2},{"info":"NaN⫥∨⫟≮⫘↔110010100000=NaN","layer":1},{"info":"≮⫘↔100011100111⪨≂≮⫘↔11001101100=≮⫘↔10101011100","layer":3},{"info":"≦∁≮⫘↔10101011100=≮⫘↔10101011100","layer":2},{"info":"≮⫘↔11100010011⊴≮⫘↔10101111110=NaN","layer":3},{"info":"≮⫘↔10001010011↙≮⫘↔10010000001=≮⫘↔-110110000011","layer":3},{"info":"NaN⨽≮⫘↔-110110000011=NaN","layer":2},{"info":"≮⫘↔10101011100/NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":763,"expression_no_base_symbol":"((≉$1305$)⪛($4997$↬$1255$))⪢(↥($2408$⪐))≧⫂∧(+⊝⨔(($1220$↺$2386$)⪢($1669$⨎$6370$)))","expression":"((≉≮⫘↔10100011001)⪛(≮⫘↔1001110000101↬≮⫘↔10011100111))⪢(↥(≮⫘↔100101101000⪐))≧⫂∧(+⊝⨔((≮⫘↔10011000100↺≮⫘↔100101010010)⪢(≮⫘↔11010000101⨎≮⫘↔1100011100010)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6519,"operation_count":11,"complexity_ratio":592.6363636363636,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1305,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4997,"base":2},"right_expr":{"type":"numeric_atoms","value":1255,"base":2}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2408,"base":2}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1220,"base":2},"right_expr":{"type":"numeric_atoms","value":2386,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1669,"base":2},"right_expr":{"type":"numeric_atoms","value":6370,"base":2}}}}},"used_operators":["Ph9nP6C5qx","dWAJyo7jo9","uFcxV4UQCh","e1ybzncUwg","B5M0gjZbta","A8NUZmVepG","eH2TOUuTDT","DhbWaqg5eL","7j4O788W3g","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"≮⫘↔10000011001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1305","layer":4},{"info":"compute unary expreesion, input=1305, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1836","layer":3},{"info":"number node, value=4997","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=4997, right_input=1255, 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=1836, 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=2408","layer":4},{"info":"compute unary expreesion, input=2408, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4816","layer":3},{"info":"compute unary expreesion, input=4816, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=22","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=22, 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=1220","layer":4},{"info":"number node, value=2386","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=2386, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2386","layer":3},{"info":"number node, value=1669","layer":4},{"info":"number node, value=6370","layer":4},{"info":"compute binary expreesion, left_input=1669, right_input=6370, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6370","layer":3},{"info":"compute binary expreesion, left_input=2386, right_input=6370, 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 = 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1049","layer":0}],"base":2,"result_base":2,"text":"((≉≮⫘↔10100011001)⪛(≮⫘↔1001110000101↬≮⫘↔10011100111))⪢(↥(≮⫘↔100101101000⪐))≧⫂∧(+⊝⨔((≮⫘↔10011000100↺≮⫘↔100101010010)⪢(≮⫘↔11010000101⨎≮⫘↔1100011100010)))=≮⫘↔10000011001","reverse_text":"≮⫘↔10000011001=((≉≮⫘↔10100011001)⪛(≮⫘↔1001110000101↬≮⫘↔10011100111))⪢(↥(≮⫘↔100101101000⪐))≧⫂∧(+⊝⨔((≮⫘↔10011000100↺≮⫘↔100101010010)⪢(≮⫘↔11010000101⨎≮⫘↔1100011100010)))","cot":[{"info":"≉≮⫘↔10100011001=≮⫘↔11100101100","layer":3},{"info":"≮⫘↔1001110000101↬≮⫘↔10011100111=NaN","layer":3},{"info":"≮⫘↔11100101100⪛NaN=NaN","layer":2},{"info":"≮⫘↔100101101000⪐=≮⫘↔1001011010000","layer":3},{"info":"↥≮⫘↔1001011010000=≮⫘↔10110","layer":2},{"info":"NaN⪢≮⫘↔10110=NaN","layer":1},{"info":"≮⫘↔10011000100↺≮⫘↔100101010010=≮⫘↔100101010010","layer":3},{"info":"≮⫘↔11010000101⨎≮⫘↔1100011100010=≮⫘↔1100011100010","layer":3},{"info":"≮⫘↔100101010010⪢≮⫘↔1100011100010=NaN","layer":2},{"info":"+⊝⨔NaN=≮⫘↔10111110010","layer":1},{"info":"NaN≧⫂∧≮⫘↔10111110010=≮⫘↔10000011001","layer":0}]}
{"id":764,"expression_no_base_symbol":"(($7169$∧)⪄$7245$⋥≓≎$1823$⫡⨏(($2302$⪒$2138$)⋫))∑⇟⊟(($4562$⋥≓≎$2428$⇼⇔∾($1301$≫≃))≦≮≮)","expression":"((≮⫘↔1110000000001∧)⪄≮⫘↔1110001001101⋥≓≎≮⫘↔11100011111⫡⨏((≮⫘↔100011111110⪒≮⫘↔100001011010)⋫))∑⇟⊟((≮⫘↔1000111010010⋥≓≎≮⫘↔100101111100⇼⇔∾(≮⫘↔10100010101≫≃))≦≮≮)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4498,"operation_count":11,"complexity_ratio":408.90909090909093,"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":7169,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7245,"base":2},"right_expr":{"type":"numeric_atoms","value":1823,"base":2}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2302,"base":2},"right_expr":{"type":"numeric_atoms","value":2138,"base":2}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4562,"base":2},"right_expr":{"type":"numeric_atoms","value":2428,"base":2}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1301,"base":2}}}}},"used_operators":["U7g4x0WXJJ","QMFrweE19q","SUmda5xLS4","z63VuFQld9","Qy55tPpLXF","JL8yIekQnl","f6k1SAg4EE","D4vGDi5EA2","tifHPKVTfV","X99M06cbEe"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7169","layer":4},{"info":"compute unary expreesion, input=7169, 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=7245","layer":4},{"info":"number node, value=1823","layer":4},{"info":"compute binary expreesion, left_input=7245, right_input=1823, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3566","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3566, 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=2302","layer":4},{"info":"number node, value=2138","layer":4},{"info":"compute binary expreesion, left_input=2302, right_input=2138, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4440","layer":3},{"info":"compute unary expreesion, input=-4440, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-4440","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=-4440, 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=11798","layer":1},{"info":"number node, value=4562","layer":4},{"info":"number node, value=2428","layer":4},{"info":"compute binary expreesion, left_input=4562, right_input=2428, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=327","layer":3},{"info":"number node, value=1301","layer":4},{"info":"compute unary expreesion, input=1301, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4003","layer":3},{"info":"compute binary expreesion, left_input=327, right_input=4003, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3676","layer":2},{"info":"compute unary expreesion, input=3676, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-11028","layer":1},{"info":"compute binary expreesion, left_input=11798, right_input=-11028, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1110000000001∧)⪄≮⫘↔1110001001101⋥≓≎≮⫘↔11100011111⫡⨏((≮⫘↔100011111110⪒≮⫘↔100001011010)⋫))∑⇟⊟((≮⫘↔1000111010010⋥≓≎≮⫘↔100101111100⇼⇔∾(≮⫘↔10100010101≫≃))≦≮≮)=NaN","reverse_text":"NaN=((≮⫘↔1110000000001∧)⪄≮⫘↔1110001001101⋥≓≎≮⫘↔11100011111⫡⨏((≮⫘↔100011111110⪒≮⫘↔100001011010)⋫))∑⇟⊟((≮⫘↔1000111010010⋥≓≎≮⫘↔100101111100⇼⇔∾(≮⫘↔10100010101≫≃))≦≮≮)","cot":[{"info":"≮⫘↔1110000000001∧=NaN","layer":3},{"info":"≮⫘↔1110001001101⋥≓≎≮⫘↔11100011111=≮⫘↔-110111101110","layer":3},{"info":"NaN⪄≮⫘↔-110111101110=≮⫘↔111110001011","layer":2},{"info":"≮⫘↔100011111110⪒≮⫘↔100001011010=≮⫘↔-1000101011000","layer":3},{"info":"≮⫘↔-1000101011000⋫=≮⫘↔-1000101011000","layer":2},{"info":"≮⫘↔111110001011⫡⨏≮⫘↔-1000101011000=≮⫘↔10111000010110","layer":1},{"info":"≮⫘↔1000111010010⋥≓≎≮⫘↔100101111100=≮⫘↔101000111","layer":3},{"info":"≮⫘↔10100010101≫≃=≮⫘↔111110100011","layer":3},{"info":"≮⫘↔101000111⇼⇔∾≮⫘↔111110100011=≮⫘↔111001011100","layer":2},{"info":"≮⫘↔111001011100≦≮≮=≮⫘↔-10101100010100","layer":1},{"info":"≮⫘↔10111000010110∑⇟⊟≮⫘↔-10101100010100=NaN","layer":0}]}
{"id":765,"expression_no_base_symbol":"⨈⫕((⨰⫟⨤($1838$+$6862$))⇼⇔∾$1737$⪮%⊝$1005$⨓($6287$⨳⩥⨓$3080$))","expression":"⨈⫕((⨰⫟⨤(≮⫘↔11100101110+≮⫘↔1101011001110))⇼⇔∾≮⫘↔11011001001⪮%⊝≮⫘↔1111101101⨓(≮⫘↔1100010001111⨳⩥⨓≮⫘↔110000001000))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":37574,"operation_count":7,"complexity_ratio":5367.714285714285,"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":1838,"base":2},"right_expr":{"type":"numeric_atoms","value":6862,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1737,"base":2},"right_expr":{"type":"numeric_atoms","value":1005,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6287,"base":2},"right_expr":{"type":"numeric_atoms","value":3080,"base":2}}}}},"used_operators":["megm06wKyl","tifHPKVTfV","Tw270M8GLb","W4YGzv6Whe","3ViojmjbAp","IWmyXbctLI","nCS4ZIUYfx"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z"],"result":"≮⫘↔-10101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1838","layer":4},{"info":"number node, value=6862","layer":4},{"info":"compute binary expreesion, left_input=1838, right_input=6862, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8700","layer":3},{"info":"compute unary expreesion, input=8700, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1737","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=1737, right_input=1005, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3790","layer":3},{"info":"number node, value=6287","layer":4},{"info":"number node, value=3080","layer":4},{"info":"compute binary expreesion, left_input=6287, right_input=3080, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3207","layer":3},{"info":"compute binary expreesion, left_input=3790, right_input=-3207, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3210","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3210, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":2,"result_base":2,"text":"⨈⫕((⨰⫟⨤(≮⫘↔11100101110+≮⫘↔1101011001110))⇼⇔∾≮⫘↔11011001001⪮%⊝≮⫘↔1111101101⨓(≮⫘↔1100010001111⨳⩥⨓≮⫘↔110000001000))=≮⫘↔-10101","reverse_text":"≮⫘↔-10101=⨈⫕((⨰⫟⨤(≮⫘↔11100101110+≮⫘↔1101011001110))⇼⇔∾≮⫘↔11011001001⪮%⊝≮⫘↔1111101101⨓(≮⫘↔1100010001111⨳⩥⨓≮⫘↔110000001000))","cot":[{"info":"≮⫘↔11100101110+≮⫘↔1101011001110=≮⫘↔10000111111100","layer":3},{"info":"⨰⫟⨤≮⫘↔10000111111100=NaN","layer":2},{"info":"≮⫘↔11011001001⪮%⊝≮⫘↔1111101101=≮⫘↔111011001110","layer":3},{"info":"≮⫘↔1100010001111⨳⩥⨓≮⫘↔110000001000=≮⫘↔-110010000111","layer":3},{"info":"≮⫘↔111011001110⨓≮⫘↔-110010000111=≮⫘↔-110010001010","layer":2},{"info":"NaN⇼⇔∾≮⫘↔-110010001010=NaN","layer":1},{"info":"⨈⫕NaN=≮⫘↔-10101","layer":0}]}
{"id":766,"expression_no_base_symbol":"(($1319$∧)∲⫓$6380$⩚⊴⇥$4124$)∑⇟⊟((↽≂$1745$)⨐⩸⫘$1957$≹⇙⪍$2367$)⫡⨏$1506$⨓$2036$⫥∨⫟($3261$+$5842$)⋥≓≎$4362$⋓$1602$⨰($1424$∲⫓$1073$)","expression":"((≮⫘↔10100100111∧)∲⫓≮⫘↔1100011101100⩚⊴⇥≮⫘↔1000000011100)∑⇟⊟((↽≂≮⫘↔11011010001)⨐⩸⫘≮⫘↔11110100101≹⇙⪍≮⫘↔100100111111)⫡⨏≮⫘↔10111100010⨓≮⫘↔11111110100⫥∨⫟(≮⫘↔110010111101+≮⫘↔1011011010010)⋥≓≎≮⫘↔1000100001010⋓≮⫘↔11001000010⨰(≮⫘↔10110010000∲⫓≮⫘↔10000110001)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2243,"operation_count":15,"complexity_ratio":149.53333333333333,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1319,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6380,"base":2},"right_expr":{"type":"numeric_atoms","value":4124,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1745,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1957,"base":2},"right_expr":{"type":"numeric_atoms","value":2367,"base":2}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1506,"base":2},"right_expr":{"type":"numeric_atoms","value":2036,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3261,"base":2},"right_expr":{"type":"numeric_atoms","value":5842,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4362,"base":2},"right_expr":{"type":"numeric_atoms","value":1602,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1424,"base":2},"right_expr":{"type":"numeric_atoms","value":1073,"base":2}}}}},"used_operators":["QMFrweE19q","U7g4x0WXJJ","i8ToyICDmI","z63VuFQld9","NTOWxs364D","fu6greOZ01","u6S6b8DprG","AHs5Up7iyr","Qy55tPpLXF","KYD54nUTWz","3ViojmjbAp","W4YGzv6Whe","eewbuw0ToL","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1319","layer":4},{"info":"compute unary expreesion, input=1319, op_id = 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=6380","layer":4},{"info":"number node, value=4124","layer":4},{"info":"compute binary expreesion, left_input=6380, right_input=4124, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10625","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10625, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=1745","layer":4},{"info":"compute unary expreesion, input=1745, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3490","layer":3},{"info":"number node, value=1957","layer":4},{"info":"number node, value=2367","layer":4},{"info":"compute binary expreesion, left_input=1957, right_input=2367, 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=-3490, 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=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1506","layer":4},{"info":"number node, value=2036","layer":4},{"info":"compute binary expreesion, left_input=1506, right_input=2036, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2039","layer":3},{"info":"number node, value=3261","layer":4},{"info":"number node, value=5842","layer":4},{"info":"compute binary expreesion, left_input=3261, right_input=5842, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9103","layer":3},{"info":"compute binary expreesion, left_input=-2039, right_input=9103, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=4362","layer":4},{"info":"number node, value=1602","layer":4},{"info":"compute binary expreesion, left_input=4362, right_input=1602, 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=1424","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=1424, right_input=1073, 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=0, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=10","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10100100111∧)∲⫓≮⫘↔1100011101100⩚⊴⇥≮⫘↔1000000011100)∑⇟⊟((↽≂≮⫘↔11011010001)⨐⩸⫘≮⫘↔11110100101≹⇙⪍≮⫘↔100100111111)⫡⨏≮⫘↔10111100010⨓≮⫘↔11111110100⫥∨⫟(≮⫘↔110010111101+≮⫘↔1011011010010)⋥≓≎≮⫘↔1000100001010⋓≮⫘↔11001000010⨰(≮⫘↔10110010000∲⫓≮⫘↔10000110001)=NaN","reverse_text":"NaN=((≮⫘↔10100100111∧)∲⫓≮⫘↔1100011101100⩚⊴⇥≮⫘↔1000000011100)∑⇟⊟((↽≂≮⫘↔11011010001)⨐⩸⫘≮⫘↔11110100101≹⇙⪍≮⫘↔100100111111)⫡⨏≮⫘↔10111100010⨓≮⫘↔11111110100⫥∨⫟(≮⫘↔110010111101+≮⫘↔1011011010010)⋥≓≎≮⫘↔1000100001010⋓≮⫘↔11001000010⨰(≮⫘↔10110010000∲⫓≮⫘↔10000110001)","cot":[{"info":"≮⫘↔10100100111∧=NaN","layer":3},{"info":"≮⫘↔1100011101100⩚⊴⇥≮⫘↔1000000011100=≮⫘↔-10100110000001","layer":3},{"info":"NaN∲⫓≮⫘↔-10100110000001=NaN","layer":2},{"info":"↽≂≮⫘↔11011010001=≮⫘↔-110110100010","layer":3},{"info":"≮⫘↔11110100101≹⇙⪍≮⫘↔100100111111=NaN","layer":3},{"info":"≮⫘↔-110110100010⨐⩸⫘NaN=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"≮⫘↔10111100010⨓≮⫘↔11111110100=≮⫘↔-11111110111","layer":3},{"info":"≮⫘↔110010111101+≮⫘↔1011011010010=≮⫘↔10001110001111","layer":3},{"info":"≮⫘↔-11111110111⫥∨⫟≮⫘↔10001110001111=NaN","layer":2},{"info":"≮⫘↔1000100001010⋓≮⫘↔11001000010=≮⫘↔0","layer":3},{"info":"≮⫘↔10110010000∲⫓≮⫘↔10000110001=≮⫘↔0","layer":3},{"info":"≮⫘↔0⨰≮⫘↔0=≮⫘↔1010","layer":2},{"info":"NaN⋥≓≎≮⫘↔1010=≮⫘↔1000011","layer":1},{"info":"NaN⫡⨏≮⫘↔1000011=NaN","layer":0}]}
{"id":767,"expression_no_base_symbol":"⫛⫱⨽(($1187$⋝⋈⪟$5233$⨳⩥⨓$3073$⊴$1104$)≧⫂∧($5361$⋓$3994$)⪢$7069$≹⇙⪍$8109$)","expression":"⫛⫱⨽((≮⫘↔10010100011⋝⋈⪟≮⫘↔1010001110001⨳⩥⨓≮⫘↔110000000001⊴≮⫘↔10001010000)≧⫂∧(≮⫘↔1010011110001⋓≮⫘↔111110011010)⪢≮⫘↔1101110011101≹⇙⪍≮⫘↔1111110101101)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2770,"operation_count":8,"complexity_ratio":346.25,"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":1187,"base":2},"right_expr":{"type":"numeric_atoms","value":5233,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3073,"base":2},"right_expr":{"type":"numeric_atoms","value":1104,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5361,"base":2},"right_expr":{"type":"numeric_atoms","value":3994,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7069,"base":2},"right_expr":{"type":"numeric_atoms","value":8109,"base":2}}}}},"used_operators":["DlLNRPXxWL","Ph9nP6C5qx","nCS4ZIUYfx","2DDjHMKMc0","Nsiff2A1zJ","dWAJyo7jo9","T2fj7uvVaJ","AHs5Up7iyr"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1187","layer":4},{"info":"number node, value=5233","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=5233, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1187","layer":3},{"info":"number node, value=3073","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=3073, right_input=1104, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1187, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=5361","layer":4},{"info":"number node, value=3994","layer":4},{"info":"compute binary expreesion, left_input=5361, right_input=3994, 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=7069","layer":4},{"info":"number node, value=8109","layer":4},{"info":"compute binary expreesion, left_input=7069, right_input=8109, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⫛⫱⨽((≮⫘↔10010100011⋝⋈⪟≮⫘↔1010001110001⨳⩥⨓≮⫘↔110000000001⊴≮⫘↔10001010000)≧⫂∧(≮⫘↔1010011110001⋓≮⫘↔111110011010)⪢≮⫘↔1101110011101≹⇙⪍≮⫘↔1111110101101)=NaN","reverse_text":"NaN=⫛⫱⨽((≮⫘↔10010100011⋝⋈⪟≮⫘↔1010001110001⨳⩥⨓≮⫘↔110000000001⊴≮⫘↔10001010000)≧⫂∧(≮⫘↔1010011110001⋓≮⫘↔111110011010)⪢≮⫘↔1101110011101≹⇙⪍≮⫘↔1111110101101)","cot":[{"info":"≮⫘↔10010100011⋝⋈⪟≮⫘↔1010001110001=≮⫘↔10010100011","layer":3},{"info":"≮⫘↔110000000001⊴≮⫘↔10001010000=NaN","layer":3},{"info":"≮⫘↔10010100011⨳⩥⨓NaN=NaN","layer":2},{"info":"≮⫘↔1010011110001⋓≮⫘↔111110011010=≮⫘↔0","layer":3},{"info":"≮⫘↔1101110011101≹⇙⪍≮⫘↔1111110101101=NaN","layer":3},{"info":"≮⫘↔0⪢NaN=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":768,"expression_no_base_symbol":"(($4391$⪐)⋓($3018$⨸⪁$1053$)⫩⊇)⫸⊐(($5849$↙$2399$)⨪↰⇹(↔$2246$))⪢($1030$⨽$2490$↺($2436$↙$3025$))","expression":"((≮⫘↔1000100100111⪐)⋓(≮⫘↔101111001010⨸⪁≮⫘↔10000011101)⫩⊇)⫸⊐((≮⫘↔1011011011001↙≮⫘↔100101011111)⨪↰⇹(↔≮⫘↔100011000110))⪢(≮⫘↔10000000110⨽≮⫘↔100110111010↺(≮⫘↔100110000100↙≮⫘↔101111010001))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":26061,"operation_count":12,"complexity_ratio":2171.75,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":4391,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3018,"base":2},"right_expr":{"type":"numeric_atoms","value":1053,"base":2}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5849,"base":2},"right_expr":{"type":"numeric_atoms","value":2399,"base":2}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2246,"base":2}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1030,"base":2},"right_expr":{"type":"numeric_atoms","value":2490,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2436,"base":2},"right_expr":{"type":"numeric_atoms","value":3025,"base":2}}}}},"used_operators":["mqXw5SEYmG","BjRHVeLaeN","T2fj7uvVaJ","eH2TOUuTDT","g55IO6H4Gj","dWAJyo7jo9","tmPS8pqC7x","yyfyN0ffXY","ruOEQAzv1W","7j4O788W3g","8HhzD0ZcuI"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","k8jYdgA6NY","rJVOvQCfKK","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"≮⫘↔1010100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4391","layer":4},{"info":"compute unary expreesion, input=4391, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=8782","layer":3},{"info":"number node, value=3018","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=3018, right_input=1053, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8142","layer":3},{"info":"compute binary expreesion, left_input=8782, right_input=8142, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=42","layer":1},{"info":"number node, value=5849","layer":4},{"info":"number node, value=2399","layer":4},{"info":"compute binary expreesion, left_input=5849, right_input=2399, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7197","layer":3},{"info":"number node, value=2246","layer":4},{"info":"compute unary expreesion, input=2246, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1973","layer":3},{"info":"compute binary expreesion, left_input=-7197, right_input=-1973, 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=7197","layer":2},{"info":"number node, value=1030","layer":4},{"info":"number node, value=2490","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=2490, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3188856","layer":3},{"info":"number node, value=2436","layer":4},{"info":"number node, value=3025","layer":4},{"info":"compute binary expreesion, left_input=2436, right_input=3025, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9075","layer":3},{"info":"compute binary expreesion, left_input=-3188856, right_input=-9075, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-9075","layer":2},{"info":"compute binary expreesion, left_input=7197, right_input=-9075, 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=42, 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=84","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1000100100111⪐)⋓(≮⫘↔101111001010⨸⪁≮⫘↔10000011101)⫩⊇)⫸⊐((≮⫘↔1011011011001↙≮⫘↔100101011111)⨪↰⇹(↔≮⫘↔100011000110))⪢(≮⫘↔10000000110⨽≮⫘↔100110111010↺(≮⫘↔100110000100↙≮⫘↔101111010001))=≮⫘↔1010100","reverse_text":"≮⫘↔1010100=((≮⫘↔1000100100111⪐)⋓(≮⫘↔101111001010⨸⪁≮⫘↔10000011101)⫩⊇)⫸⊐((≮⫘↔1011011011001↙≮⫘↔100101011111)⨪↰⇹(↔≮⫘↔100011000110))⪢(≮⫘↔10000000110⨽≮⫘↔100110111010↺(≮⫘↔100110000100↙≮⫘↔101111010001))","cot":[{"info":"≮⫘↔1000100100111⪐=≮⫘↔10001001001110","layer":3},{"info":"≮⫘↔101111001010⨸⪁≮⫘↔10000011101=≮⫘↔1111111001110","layer":3},{"info":"≮⫘↔10001001001110⋓≮⫘↔1111111001110=≮⫘↔0","layer":2},{"info":"≮⫘↔0⫩⊇=≮⫘↔101010","layer":1},{"info":"≮⫘↔1011011011001↙≮⫘↔100101011111=≮⫘↔-1110000011101","layer":3},{"info":"↔≮⫘↔100011000110=≮⫘↔-11110110101","layer":3},{"info":"≮⫘↔-1110000011101⨪↰⇹≮⫘↔-11110110101=≮⫘↔1110000011101","layer":2},{"info":"≮⫘↔10000000110⨽≮⫘↔100110111010=≮⫘↔-1100001010100001111000","layer":3},{"info":"≮⫘↔100110000100↙≮⫘↔101111010001=≮⫘↔-10001101110011","layer":3},{"info":"≮⫘↔-1100001010100001111000↺≮⫘↔-10001101110011=≮⫘↔-10001101110011","layer":2},{"info":"≮⫘↔1110000011101⪢≮⫘↔-10001101110011=NaN","layer":1},{"info":"≮⫘↔101010⫸⊐NaN=≮⫘↔1010100","layer":0}]}
{"id":769,"expression_no_base_symbol":"(∥⊫($1445$-$2832$))⨓(($3350$⨁⊸⫻)∲⫓(⋗⩬⋾$6518$))∑⇟⊟((⊙↵-$1204$)⨐⩸⫘($2173$⫌⩹⨱))⪛(⩦⩻⨪(⇁⨣⪵$6605$))","expression":"(∥⊫(≮⫘↔10110100101-≮⫘↔101100010000))⨓((≮⫘↔110100010110⨁⊸⫻)∲⫓(⋗⩬⋾≮⫘↔1100101110110))∑⇟⊟((⊙↵-≮⫘↔10010110100)⨐⩸⫘(≮⫘↔100001111101⫌⩹⨱))⪛(⩦⩻⨪(⇁⨣⪵≮⫘↔1100111001101))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4632,"operation_count":13,"complexity_ratio":356.3076923076923,"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":1445,"base":2},"right_expr":{"type":"numeric_atoms","value":2832,"base":2}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":3350,"base":2}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":6518,"base":2}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1204,"base":2}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2173,"base":2}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6605,"base":2}}}}},"used_operators":["U7g4x0WXJJ","3ViojmjbAp","P8v4zCKN1o","rysDP5nf3Z","i8ToyICDmI","glklzrTFfD","DpFCA1CohY","uFcxV4UQCh","fu6greOZ01","oWn0xqSxBt","EBcxylXtPf","2td37pGCOC","inkyxCbjAn"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3ViojmjbAp","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1445","layer":4},{"info":"number node, value=2832","layer":4},{"info":"compute binary expreesion, left_input=1445, right_input=2832, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1387","layer":3},{"info":"compute unary expreesion, input=-1387, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"number node, value=3350","layer":4},{"info":"compute unary expreesion, input=3350, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3350","layer":3},{"info":"number node, value=6518","layer":4},{"info":"compute unary expreesion, input=6518, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-19554","layer":3},{"info":"compute binary expreesion, left_input=3350, right_input=-19554, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=3350","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=3350, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3353","layer":1},{"info":"number node, value=1204","layer":4},{"info":"compute unary expreesion, input=1204, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=2173","layer":4},{"info":"compute unary expreesion, input=2173, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=5747","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=5747, 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=6605","layer":4},{"info":"compute unary expreesion, input=6605, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((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 binary expreesion, left_input=-3353, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(∥⊫(≮⫘↔10110100101-≮⫘↔101100010000))⨓((≮⫘↔110100010110⨁⊸⫻)∲⫓(⋗⩬⋾≮⫘↔1100101110110))∑⇟⊟((⊙↵-≮⫘↔10010110100)⨐⩸⫘(≮⫘↔100001111101⫌⩹⨱))⪛(⩦⩻⨪(⇁⨣⪵≮⫘↔1100111001101))=NaN","reverse_text":"NaN=(∥⊫(≮⫘↔10110100101-≮⫘↔101100010000))⨓((≮⫘↔110100010110⨁⊸⫻)∲⫓(⋗⩬⋾≮⫘↔1100101110110))∑⇟⊟((⊙↵-≮⫘↔10010110100)⨐⩸⫘(≮⫘↔100001111101⫌⩹⨱))⪛(⩦⩻⨪(⇁⨣⪵≮⫘↔1100111001101))","cot":[{"info":"≮⫘↔10110100101-≮⫘↔101100010000=≮⫘↔-10101101011","layer":3},{"info":"∥⊫≮⫘↔-10101101011=≮⫘↔-110111","layer":2},{"info":"≮⫘↔110100010110⨁⊸⫻=≮⫘↔110100010110","layer":3},{"info":"⋗⩬⋾≮⫘↔1100101110110=≮⫘↔-100110001100010","layer":3},{"info":"≮⫘↔110100010110∲⫓≮⫘↔-100110001100010=≮⫘↔110100010110","layer":2},{"info":"≮⫘↔-110111⨓≮⫘↔110100010110=≮⫘↔-110100011001","layer":1},{"info":"⊙↵-≮⫘↔10010110100=≮⫘↔-1","layer":3},{"info":"≮⫘↔100001111101⫌⩹⨱=≮⫘↔1011001110011","layer":3},{"info":"≮⫘↔-1⨐⩸⫘≮⫘↔1011001110011=NaN","layer":2},{"info":"⇁⨣⪵≮⫘↔1100111001101=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"≮⫘↔-110100011001∑⇟⊟NaN=NaN","layer":0}]}
{"id":770,"expression_no_base_symbol":"(($5049$⨓$3256$∲⫓$1542$⪘⫢$4258$)⊉≛↸(+⊝⨔($3166$⫸⊐$1005$)))⪢(($2997$⨰$4369$⋝⋈⪟($1070$⨐⩸⫘$6409$))⇷(⨞⊢(∥⊫$3603$)))","expression":"((≮⫘↔1001110111001⨓≮⫘↔110010111000∲⫓≮⫘↔11000000110⪘⫢≮⫘↔1000010100010)⊉≛↸(+⊝⨔(≮⫘↔110001011110⫸⊐≮⫘↔1111101101)))⪢((≮⫘↔101110110101⨰≮⫘↔1000100010001⋝⋈⪟(≮⫘↔10000101110⨐⩸⫘≮⫘↔1100100001001))⇷(⨞⊢(∥⊫≮⫘↔111000010011)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3371,"operation_count":13,"complexity_ratio":259.3076923076923,"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":5049,"base":2},"right_expr":{"type":"numeric_atoms","value":3256,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1542,"base":2},"right_expr":{"type":"numeric_atoms","value":4258,"base":2}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3166,"base":2},"right_expr":{"type":"numeric_atoms","value":1005,"base":2}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2997,"base":2},"right_expr":{"type":"numeric_atoms","value":4369,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1070,"base":2},"right_expr":{"type":"numeric_atoms","value":6409,"base":2}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3603,"base":2}}}}},"used_operators":["dWAJyo7jo9","DZ8iAZOCBD","i8ToyICDmI","3ViojmjbAp","oacrs7FA3X","DhbWaqg5eL","mqXw5SEYmG","mp7IySMOzn","2DDjHMKMc0","eewbuw0ToL","fu6greOZ01","xUOZtlo3hN","P8v4zCKN1o"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5049","layer":4},{"info":"number node, value=3256","layer":4},{"info":"compute binary expreesion, left_input=5049, right_input=3256, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3259","layer":3},{"info":"number node, value=1542","layer":4},{"info":"number node, value=4258","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=4258, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2960","layer":3},{"info":"compute binary expreesion, left_input=-3259, right_input=2960, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=3166","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=3166, right_input=1005, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=3895","layer":3},{"info":"compute unary expreesion, input=3895, 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=0, right_input=1522, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":1},{"info":"number node, value=2997","layer":4},{"info":"number node, value=4369","layer":4},{"info":"compute binary expreesion, left_input=2997, right_input=4369, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1362","layer":3},{"info":"number node, value=1070","layer":4},{"info":"number node, value=6409","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=6409, 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=-1362, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=3603","layer":4},{"info":"compute unary expreesion, input=3603, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4471","layer":3},{"info":"compute unary expreesion, input=4471, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4645","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4645, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001110111001⨓≮⫘↔110010111000∲⫓≮⫘↔11000000110⪘⫢≮⫘↔1000010100010)⊉≛↸(+⊝⨔(≮⫘↔110001011110⫸⊐≮⫘↔1111101101)))⪢((≮⫘↔101110110101⨰≮⫘↔1000100010001⋝⋈⪟(≮⫘↔10000101110⨐⩸⫘≮⫘↔1100100001001))⇷(⨞⊢(∥⊫≮⫘↔111000010011)))=NaN","reverse_text":"NaN=((≮⫘↔1001110111001⨓≮⫘↔110010111000∲⫓≮⫘↔11000000110⪘⫢≮⫘↔1000010100010)⊉≛↸(+⊝⨔(≮⫘↔110001011110⫸⊐≮⫘↔1111101101)))⪢((≮⫘↔101110110101⨰≮⫘↔1000100010001⋝⋈⪟(≮⫘↔10000101110⨐⩸⫘≮⫘↔1100100001001))⇷(⨞⊢(∥⊫≮⫘↔111000010011)))","cot":[{"info":"≮⫘↔1001110111001⨓≮⫘↔110010111000=≮⫘↔-110010111011","layer":3},{"info":"≮⫘↔11000000110⪘⫢≮⫘↔1000010100010=≮⫘↔101110010000","layer":3},{"info":"≮⫘↔-110010111011∲⫓≮⫘↔101110010000=≮⫘↔0","layer":2},{"info":"≮⫘↔110001011110⫸⊐≮⫘↔1111101101=≮⫘↔111100110111","layer":3},{"info":"+⊝⨔≮⫘↔111100110111=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔0⊉≛↸≮⫘↔10111110010=≮⫘↔0","layer":1},{"info":"≮⫘↔101110110101⨰≮⫘↔1000100010001=≮⫘↔-10101010010","layer":3},{"info":"≮⫘↔10000101110⨐⩸⫘≮⫘↔1100100001001=NaN","layer":3},{"info":"≮⫘↔-10101010010⋝⋈⪟NaN=NaN","layer":2},{"info":"∥⊫≮⫘↔111000010011=≮⫘↔1000101110111","layer":3},{"info":"⨞⊢≮⫘↔1000101110111=≮⫘↔-1001000100101","layer":2},{"info":"NaN⇷≮⫘↔-1001000100101=NaN","layer":1},{"info":"≮⫘↔0⪢NaN=NaN","layer":0}]}
{"id":771,"expression_no_base_symbol":"(($1094$⊴$1022$↛⩡⫤)∲⫓(($4526$-$1567$)⊦⊿))⩨($1262$+⇶⊼$6272$⨐⩸⫘($2976$⪄$6252$)+(↯⪼($4431$⋳⪒$7709$)))","expression":"((≮⫘↔10001000110⊴≮⫘↔1111111110↛⩡⫤)∲⫓((≮⫘↔1000110101110-≮⫘↔11000011111)⊦⊿))⩨(≮⫘↔10011101110+⇶⊼≮⫘↔1100010000000⨐⩸⫘(≮⫘↔101110100000⪄≮⫘↔1100001101100)+(↯⪼(≮⫘↔1000101001111⋳⪒≮⫘↔1111000011101)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1876,"operation_count":12,"complexity_ratio":156.33333333333334,"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":1094,"base":2},"right_expr":{"type":"numeric_atoms","value":1022,"base":2}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4526,"base":2},"right_expr":{"type":"numeric_atoms","value":1567,"base":2}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1262,"base":2},"right_expr":{"type":"numeric_atoms","value":6272,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2976,"base":2},"right_expr":{"type":"numeric_atoms","value":6252,"base":2}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4431,"base":2},"right_expr":{"type":"numeric_atoms","value":7709,"base":2}}}}},"used_operators":["2DlMacCsIx","i8ToyICDmI","FU0Cs4j7VP","Nsiff2A1zJ","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","fu6greOZ01","TpPTUOHfaN","SUmda5xLS4","8jW3W4yZS5","12rbrZMWeM"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1094","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=1022, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"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":2},{"info":"number node, value=4526","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=4526, right_input=1567, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2959","layer":3},{"info":"compute unary expreesion, input=2959, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-8956","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8956, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=1262","layer":4},{"info":"number node, value=6272","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=6272, 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=2976","layer":4},{"info":"number node, value=6252","layer":4},{"info":"compute binary expreesion, left_input=2976, right_input=6252, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-461545","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-461545, 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=4431","layer":4},{"info":"number node, value=7709","layer":4},{"info":"compute binary expreesion, left_input=4431, right_input=7709, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=866","layer":3},{"info":"compute unary expreesion, input=866, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10001000110⊴≮⫘↔1111111110↛⩡⫤)∲⫓((≮⫘↔1000110101110-≮⫘↔11000011111)⊦⊿))⩨(≮⫘↔10011101110+⇶⊼≮⫘↔1100010000000⨐⩸⫘(≮⫘↔101110100000⪄≮⫘↔1100001101100)+(↯⪼(≮⫘↔1000101001111⋳⪒≮⫘↔1111000011101)))=NaN","reverse_text":"NaN=((≮⫘↔10001000110⊴≮⫘↔1111111110↛⩡⫤)∲⫓((≮⫘↔1000110101110-≮⫘↔11000011111)⊦⊿))⩨(≮⫘↔10011101110+⇶⊼≮⫘↔1100010000000⨐⩸⫘(≮⫘↔101110100000⪄≮⫘↔1100001101100)+(↯⪼(≮⫘↔1000101001111⋳⪒≮⫘↔1111000011101)))","cot":[{"info":"≮⫘↔10001000110⊴≮⫘↔1111111110=NaN","layer":3},{"info":"NaN↛⩡⫤=NaN","layer":2},{"info":"≮⫘↔1000110101110-≮⫘↔11000011111=≮⫘↔101110001111","layer":3},{"info":"≮⫘↔101110001111⊦⊿=≮⫘↔-10001011111100","layer":2},{"info":"NaN∲⫓≮⫘↔-10001011111100=NaN","layer":1},{"info":"≮⫘↔10011101110+⇶⊼≮⫘↔1100010000000=NaN","layer":3},{"info":"≮⫘↔101110100000⪄≮⫘↔1100001101100=≮⫘↔-1110000101011101001","layer":3},{"info":"NaN⨐⩸⫘≮⫘↔-1110000101011101001=NaN","layer":2},{"info":"≮⫘↔1000101001111⋳⪒≮⫘↔1111000011101=≮⫘↔1101100010","layer":3},{"info":"↯⪼≮⫘↔1101100010=≮⫘↔-10101","layer":2},{"info":"NaN+≮⫘↔-10101=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
{"id":772,"expression_no_base_symbol":"((⇁⨣⪵$2199$⋥≓≎$2130$)⫥∨⫟((⫛⫱⨽$2431$)⊉≛↸$2119$⨟⋌⩍$2069$))⨓((⨵≀≌$2557$)/(↥$1009$)/(↔$3825$≹⇙⪍$4393$))","expression":"((⇁⨣⪵≮⫘↔100010010111⋥≓≎≮⫘↔100001010010)⫥∨⫟((⫛⫱⨽≮⫘↔100101111111)⊉≛↸≮⫘↔100001000111⨟⋌⩍≮⫘↔100000010101))⨓((⨵≀≌≮⫘↔100111111101)/(↥≮⫘↔1111110001)/(↔≮⫘↔111011110001≹⇙⪍≮⫘↔1000100101001))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1828,"operation_count":13,"complexity_ratio":140.6153846153846,"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":2199,"base":2},"right_expr":{"type":"numeric_atoms","value":2130,"base":2}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2431,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2119,"base":2},"right_expr":{"type":"numeric_atoms","value":2069,"base":2}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2557,"base":2}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1009,"base":2}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3825,"base":2},"right_expr":{"type":"numeric_atoms","value":4393,"base":2}}}}},"used_operators":["3ViojmjbAp","KYD54nUTWz","inkyxCbjAn","Qy55tPpLXF","DZ8iAZOCBD","DlLNRPXxWL","rGHVDoGpnC","XhwjNDsVaA","srAu1WTS94","A8NUZmVepG","ruOEQAzv1W","AHs5Up7iyr"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","Tcnh7f0tEr","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9"],"result":"≮⫘↔-100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2199","layer":4},{"info":"number node, value=2130","layer":4},{"info":"compute binary expreesion, left_input=2199, right_input=2130, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2094","layer":3},{"info":"compute unary expreesion, input=2094, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=2431","layer":4},{"info":"compute unary expreesion, input=2431, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2119","layer":4},{"info":"number node, value=2069","layer":4},{"info":"compute binary expreesion, left_input=2119, right_input=2069, 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=0, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=2557","layer":4},{"info":"compute unary expreesion, input=2557, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-7671","layer":3},{"info":"number node, value=1009","layer":4},{"info":"compute unary expreesion, input=1009, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=40","layer":3},{"info":"compute binary expreesion, left_input=-7671, right_input=40, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-192","layer":2},{"info":"number node, value=3825","layer":4},{"info":"number node, value=4393","layer":4},{"info":"compute binary expreesion, left_input=3825, right_input=4393, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 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=-192, right_input=-134, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4","layer":0}],"base":2,"result_base":2,"text":"((⇁⨣⪵≮⫘↔100010010111⋥≓≎≮⫘↔100001010010)⫥∨⫟((⫛⫱⨽≮⫘↔100101111111)⊉≛↸≮⫘↔100001000111⨟⋌⩍≮⫘↔100000010101))⨓((⨵≀≌≮⫘↔100111111101)/(↥≮⫘↔1111110001)/(↔≮⫘↔111011110001≹⇙⪍≮⫘↔1000100101001))=≮⫘↔-100","reverse_text":"≮⫘↔-100=((⇁⨣⪵≮⫘↔100010010111⋥≓≎≮⫘↔100001010010)⫥∨⫟((⫛⫱⨽≮⫘↔100101111111)⊉≛↸≮⫘↔100001000111⨟⋌⩍≮⫘↔100000010101))⨓((⨵≀≌≮⫘↔100111111101)/(↥≮⫘↔1111110001)/(↔≮⫘↔111011110001≹⇙⪍≮⫘↔1000100101001))","cot":[{"info":"≮⫘↔100010010111⋥≓≎≮⫘↔100001010010=≮⫘↔100000101110","layer":3},{"info":"⇁⨣⪵≮⫘↔100000101110=NaN","layer":2},{"info":"⫛⫱⨽≮⫘↔100101111111=≮⫘↔0","layer":3},{"info":"≮⫘↔100001000111⨟⋌⩍≮⫘↔100000010101=NaN","layer":3},{"info":"≮⫘↔0⊉≛↸NaN=≮⫘↔0","layer":2},{"info":"NaN⫥∨⫟≮⫘↔0=NaN","layer":1},{"info":"⨵≀≌≮⫘↔100111111101=≮⫘↔-1110111110111","layer":3},{"info":"↥≮⫘↔1111110001=≮⫘↔101000","layer":3},{"info":"≮⫘↔-1110111110111/≮⫘↔101000=≮⫘↔-11000000","layer":2},{"info":"≮⫘↔111011110001≹⇙⪍≮⫘↔1000100101001=NaN","layer":3},{"info":"↔NaN=≮⫘↔-10000110","layer":2},{"info":"≮⫘↔-11000000/≮⫘↔-10000110=≮⫘↔1","layer":1},{"info":"NaN⨓≮⫘↔1=≮⫘↔-100","layer":0}]}
{"id":773,"expression_no_base_symbol":"(↩(↩$1183$)⨓$3680$∼$6962$)∑⇟⊟((+⊝⨔($1540$-$3579$))⋝⋈⪟((+⊝⨔$1309$)⇋≉))","expression":"(↩(↩≮⫘↔10010011111)⨓≮⫘↔111001100000∼≮⫘↔1101100110010)∑⇟⊟((+⊝⨔(≮⫘↔11000000100-≮⫘↔110111111011))⋝⋈⪟((+⊝⨔≮⫘↔10100011101)⇋≉))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":184,"operation_count":10,"complexity_ratio":18.4,"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":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3680,"base":2},"right_expr":{"type":"numeric_atoms","value":6962,"base":2}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1540,"base":2},"right_expr":{"type":"numeric_atoms","value":3579,"base":2}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1309,"base":2}}}}},"used_operators":["U7g4x0WXJJ","jLgFTUHLKL","3ViojmjbAp","DyGG3AbaNP","2DDjHMKMc0","DhbWaqg5eL","rysDP5nf3Z","XIabStNQrY"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1183","layer":4},{"info":"compute unary expreesion, input=1183, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6684","layer":3},{"info":"number node, value=3680","layer":4},{"info":"number node, value=6962","layer":4},{"info":"compute binary expreesion, left_input=3680, right_input=6962, 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=-6684, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', 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":"number node, value=1540","layer":4},{"info":"number node, value=3579","layer":4},{"info":"compute binary expreesion, left_input=1540, right_input=3579, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2039","layer":3},{"info":"compute unary expreesion, input=-2039, 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=1309","layer":4},{"info":"compute unary expreesion, input=1309, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2946","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=2946, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1522","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↩(↩≮⫘↔10010011111)⨓≮⫘↔111001100000∼≮⫘↔1101100110010)∑⇟⊟((+⊝⨔(≮⫘↔11000000100-≮⫘↔110111111011))⋝⋈⪟((+⊝⨔≮⫘↔10100011101)⇋≉))=NaN","reverse_text":"NaN=(↩(↩≮⫘↔10010011111)⨓≮⫘↔111001100000∼≮⫘↔1101100110010)∑⇟⊟((+⊝⨔(≮⫘↔11000000100-≮⫘↔110111111011))⋝⋈⪟((+⊝⨔≮⫘↔10100011101)⇋≉))","cot":[{"info":"↩≮⫘↔10010011111=≮⫘↔-1101000011100","layer":3},{"info":"≮⫘↔111001100000∼≮⫘↔1101100110010=NaN","layer":3},{"info":"≮⫘↔-1101000011100⨓NaN=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"≮⫘↔11000000100-≮⫘↔110111111011=≮⫘↔-11111110111","layer":3},{"info":"+⊝⨔≮⫘↔-11111110111=≮⫘↔10111110010","layer":2},{"info":"+⊝⨔≮⫘↔10100011101=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔10111110010⇋≉=≮⫘↔101110000010","layer":2},{"info":"≮⫘↔10111110010⋝⋈⪟≮⫘↔101110000010=≮⫘↔10111110010","layer":1},{"info":"NaN∑⇟⊟≮⫘↔10111110010=NaN","layer":0}]}
{"id":774,"expression_no_base_symbol":"($4133$⪨≂$1186$)⋝⋈⪟($5355$≧⫂∧$4820$)≭($3060$↙$1993$)⪮%⊝($1516$⋳⪒$2805$)⨐⩸⫘((($1647$≫≃)+($4352$⪠⩆⊳))↺(-$1171$*$6645$))","expression":"(≮⫘↔1000000100101⪨≂≮⫘↔10010100010)⋝⋈⪟(≮⫘↔1010011101011≧⫂∧≮⫘↔1001011010100)≭(≮⫘↔101111110100↙≮⫘↔11111001001)⪮%⊝(≮⫘↔10111101100⋳⪒≮⫘↔101011110101)⨐⩸⫘(((≮⫘↔11001101111≫≃)+(≮⫘↔1000100000000⪠⩆⊳))↺(-≮⫘↔10010010011*≮⫘↔1100111110101))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3211,"operation_count":14,"complexity_ratio":229.35714285714286,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4133,"base":2},"right_expr":{"type":"numeric_atoms","value":1186,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5355,"base":2},"right_expr":{"type":"numeric_atoms","value":4820,"base":2}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3060,"base":2},"right_expr":{"type":"numeric_atoms","value":1993,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1516,"base":2},"right_expr":{"type":"numeric_atoms","value":2805,"base":2}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1647,"base":2}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4352,"base":2}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1171,"base":2},"right_expr":{"type":"numeric_atoms","value":6645,"base":2}}}}},"used_operators":["fu6greOZ01","rxpJgHHUmx","2DDjHMKMc0","sdazOOVcIp","Ph9nP6C5qx","IWmyXbctLI","yyfyN0ffXY","12rbrZMWeM","7j4O788W3g","W4YGzv6Whe","X99M06cbEe","JLbD19bQDL","t8gj7n24qd","9HNa5Wba9A"],"dependent_operators":["3ViojmjbAp","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4133","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=4133, right_input=1186, 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=5996","layer":3},{"info":"number node, value=5355","layer":4},{"info":"number node, value=4820","layer":4},{"info":"compute binary expreesion, left_input=5355, right_input=4820, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4347","layer":3},{"info":"compute binary expreesion, left_input=5996, right_input=4347, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5996","layer":2},{"info":"number node, value=3060","layer":4},{"info":"number node, value=1993","layer":4},{"info":"compute binary expreesion, left_input=3060, right_input=1993, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5979","layer":3},{"info":"number node, value=1516","layer":4},{"info":"number node, value=2805","layer":4},{"info":"compute binary expreesion, left_input=1516, right_input=2805, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-60","layer":3},{"info":"compute binary expreesion, left_input=-5979, right_input=-60, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-11642","layer":2},{"info":"compute binary expreesion, left_input=5996, right_input=-11642, 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=1647","layer":4},{"info":"compute unary expreesion, input=1647, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4695","layer":3},{"info":"number node, value=4352","layer":4},{"info":"compute unary expreesion, input=4352, 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=4695, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4695","layer":2},{"info":"number node, value=1171","layer":4},{"info":"number node, value=6645","layer":4},{"info":"compute binary expreesion, left_input=1171, right_input=6645, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7781295","layer":3},{"info":"compute unary expreesion, input=7781295, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-7781295","layer":2},{"info":"compute binary expreesion, left_input=4695, right_input=-7781295, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-7781295","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-7781295, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1000000100101⪨≂≮⫘↔10010100010)⋝⋈⪟(≮⫘↔1010011101011≧⫂∧≮⫘↔1001011010100)≭(≮⫘↔101111110100↙≮⫘↔11111001001)⪮%⊝(≮⫘↔10111101100⋳⪒≮⫘↔101011110101)⨐⩸⫘(((≮⫘↔11001101111≫≃)+(≮⫘↔1000100000000⪠⩆⊳))↺(-≮⫘↔10010010011*≮⫘↔1100111110101))=NaN","reverse_text":"NaN=(≮⫘↔1000000100101⪨≂≮⫘↔10010100010)⋝⋈⪟(≮⫘↔1010011101011≧⫂∧≮⫘↔1001011010100)≭(≮⫘↔101111110100↙≮⫘↔11111001001)⪮%⊝(≮⫘↔10111101100⋳⪒≮⫘↔101011110101)⨐⩸⫘(((≮⫘↔11001101111≫≃)+(≮⫘↔1000100000000⪠⩆⊳))↺(-≮⫘↔10010010011*≮⫘↔1100111110101))","cot":[{"info":"≮⫘↔1000000100101⪨≂≮⫘↔10010100010=≮⫘↔1011101101100","layer":3},{"info":"≮⫘↔1010011101011≧⫂∧≮⫘↔1001011010100=≮⫘↔1000011111011","layer":3},{"info":"≮⫘↔1011101101100⋝⋈⪟≮⫘↔1000011111011=≮⫘↔1011101101100","layer":2},{"info":"≮⫘↔101111110100↙≮⫘↔11111001001=≮⫘↔-1011101011011","layer":3},{"info":"≮⫘↔10111101100⋳⪒≮⫘↔101011110101=≮⫘↔-111100","layer":3},{"info":"≮⫘↔-1011101011011⪮%⊝≮⫘↔-111100=≮⫘↔-10110101111010","layer":2},{"info":"≮⫘↔1011101101100≭≮⫘↔-10110101111010=NaN","layer":1},{"info":"≮⫘↔11001101111≫≃=≮⫘↔1001001010111","layer":3},{"info":"≮⫘↔1000100000000⪠⩆⊳=≮⫘↔0","layer":3},{"info":"≮⫘↔1001001010111+≮⫘↔0=≮⫘↔1001001010111","layer":2},{"info":"≮⫘↔10010010011*≮⫘↔1100111110101=≮⫘↔11101101011101110101111","layer":3},{"info":"-≮⫘↔11101101011101110101111=≮⫘↔-11101101011101110101111","layer":2},{"info":"≮⫘↔1001001010111↺≮⫘↔-11101101011101110101111=≮⫘↔-11101101011101110101111","layer":1},{"info":"NaN⨐⩸⫘≮⫘↔-11101101011101110101111=NaN","layer":0}]}
{"id":775,"expression_no_base_symbol":"((⫓⪴$7376$)⋓($1621$⋷$1432$))∼($1301$⋓$1405$⪨≂$4533$⨪↰⇹$1644$)⩷∴(($1604$⊦⊿)⇷$2712$⪢$2738$⪨≂(⋗⩬⋾$7890$∀⇚≩$6316$))","expression":"((⫓⪴≮⫘↔1110011010000)⋓(≮⫘↔11001010101⋷≮⫘↔10110011000))∼(≮⫘↔10100010101⋓≮⫘↔10101111101⪨≂≮⫘↔1000110110101⨪↰⇹≮⫘↔11001101100)⩷∴((≮⫘↔11001000100⊦⊿)⇷≮⫘↔101010011000⪢≮⫘↔101010110010⪨≂(⋗⩬⋾≮⫘↔1111011010010∀⇚≩≮⫘↔1100010101100))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":138414,"operation_count":14,"complexity_ratio":9886.714285714286,"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":7376,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1621,"base":2},"right_expr":{"type":"numeric_atoms","value":1432,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1301,"base":2},"right_expr":{"type":"numeric_atoms","value":1405,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4533,"base":2},"right_expr":{"type":"numeric_atoms","value":1644,"base":2}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1604,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2712,"base":2},"right_expr":{"type":"numeric_atoms","value":2738,"base":2}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":7890,"base":2},"right_expr":{"type":"numeric_atoms","value":6316,"base":2}}}}},"used_operators":["9FxExcQeMw","DyGG3AbaNP","T2fj7uvVaJ","eLxqMNBOBk","23Mk6UjR3U","sdazOOVcIp","tmPS8pqC7x","mp7IySMOzn","14qkJME0vr","dWAJyo7jo9","DpFCA1CohY","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7376","layer":4},{"info":"compute unary expreesion, input=7376, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=54405376","layer":3},{"info":"number node, value=1621","layer":4},{"info":"number node, value=1432","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=1432, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1243","layer":3},{"info":"compute binary expreesion, left_input=54405376, right_input=1243, 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=1301","layer":4},{"info":"number node, value=1405","layer":4},{"info":"compute binary expreesion, left_input=1301, right_input=1405, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=4533","layer":4},{"info":"number node, value=1644","layer":4},{"info":"compute binary expreesion, left_input=4533, right_input=1644, 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=4533","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4533, 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=-8964","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-8964, 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=1604","layer":4},{"info":"compute unary expreesion, input=1604, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4891","layer":3},{"info":"number node, value=2712","layer":4},{"info":"number node, value=2738","layer":4},{"info":"compute binary expreesion, left_input=2712, right_input=2738, 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=-4891, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=7890","layer":4},{"info":"number node, value=6316","layer":4},{"info":"compute binary expreesion, left_input=7890, right_input=6316, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', 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=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⫓⪴≮⫘↔1110011010000)⋓(≮⫘↔11001010101⋷≮⫘↔10110011000))∼(≮⫘↔10100010101⋓≮⫘↔10101111101⪨≂≮⫘↔1000110110101⨪↰⇹≮⫘↔11001101100)⩷∴((≮⫘↔11001000100⊦⊿)⇷≮⫘↔101010011000⪢≮⫘↔101010110010⪨≂(⋗⩬⋾≮⫘↔1111011010010∀⇚≩≮⫘↔1100010101100))=NaN","reverse_text":"NaN=((⫓⪴≮⫘↔1110011010000)⋓(≮⫘↔11001010101⋷≮⫘↔10110011000))∼(≮⫘↔10100010101⋓≮⫘↔10101111101⪨≂≮⫘↔1000110110101⨪↰⇹≮⫘↔11001101100)⩷∴((≮⫘↔11001000100⊦⊿)⇷≮⫘↔101010011000⪢≮⫘↔101010110010⪨≂(⋗⩬⋾≮⫘↔1111011010010∀⇚≩≮⫘↔1100010101100))","cot":[{"info":"⫓⪴≮⫘↔1110011010000=≮⫘↔11001111100010100100000000","layer":3},{"info":"≮⫘↔11001010101⋷≮⫘↔10110011000=≮⫘↔10011011011","layer":3},{"info":"≮⫘↔11001111100010100100000000⋓≮⫘↔10011011011=≮⫘↔0","layer":2},{"info":"≮⫘↔10100010101⋓≮⫘↔10101111101=≮⫘↔0","layer":3},{"info":"≮⫘↔1000110110101⨪↰⇹≮⫘↔11001101100=≮⫘↔1000110110101","layer":3},{"info":"≮⫘↔0⪨≂≮⫘↔1000110110101=≮⫘↔-10001100000100","layer":2},{"info":"≮⫘↔0∼≮⫘↔-10001100000100=NaN","layer":1},{"info":"≮⫘↔11001000100⊦⊿=≮⫘↔-1001100011011","layer":3},{"info":"≮⫘↔101010011000⪢≮⫘↔101010110010=NaN","layer":3},{"info":"≮⫘↔-1001100011011⇷NaN=NaN","layer":2},{"info":"≮⫘↔1111011010010∀⇚≩≮⫘↔1100010101100=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":776,"expression_no_base_symbol":"↔(($2887$⋓$2803$)⨟⋌⩍($4002$+⇶⊼$4571$)⨵⪆(($1883$⋷$2322$)↛⩡⫤))","expression":"↔((≮⫘↔101101000111⋓≮⫘↔101011110011)⨟⋌⩍(≮⫘↔111110100010+⇶⊼≮⫘↔1000111011011)⨵⪆((≮⫘↔11101011011⋷≮⫘↔100100010010)↛⩡⫤))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8443,"operation_count":7,"complexity_ratio":1206.142857142857,"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":2887,"base":2},"right_expr":{"type":"numeric_atoms","value":2803,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4002,"base":2},"right_expr":{"type":"numeric_atoms","value":4571,"base":2}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1883,"base":2},"right_expr":{"type":"numeric_atoms","value":2322,"base":2}}}}},"used_operators":["ruOEQAzv1W","2DQ55sFlQl","rGHVDoGpnC","T2fj7uvVaJ","TpPTUOHfaN","FU0Cs4j7VP","23Mk6UjR3U"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔1110001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2887","layer":4},{"info":"number node, value=2803","layer":4},{"info":"compute binary expreesion, left_input=2887, right_input=2803, 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=4002","layer":4},{"info":"number node, value=4571","layer":4},{"info":"compute binary expreesion, left_input=4002, right_input=4571, 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=0, 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":"number node, value=1883","layer":4},{"info":"number node, value=2322","layer":4},{"info":"compute binary expreesion, left_input=1883, right_input=2322, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2761","layer":3},{"info":"compute unary expreesion, input=2761, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-413000","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-413000, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=113","layer":0}],"base":2,"result_base":2,"text":"↔((≮⫘↔101101000111⋓≮⫘↔101011110011)⨟⋌⩍(≮⫘↔111110100010+⇶⊼≮⫘↔1000111011011)⨵⪆((≮⫘↔11101011011⋷≮⫘↔100100010010)↛⩡⫤))=≮⫘↔1110001","reverse_text":"≮⫘↔1110001=↔((≮⫘↔101101000111⋓≮⫘↔101011110011)⨟⋌⩍(≮⫘↔111110100010+⇶⊼≮⫘↔1000111011011)⨵⪆((≮⫘↔11101011011⋷≮⫘↔100100010010)↛⩡⫤))","cot":[{"info":"≮⫘↔101101000111⋓≮⫘↔101011110011=≮⫘↔0","layer":3},{"info":"≮⫘↔111110100010+⇶⊼≮⫘↔1000111011011=NaN","layer":3},{"info":"≮⫘↔0⨟⋌⩍NaN=NaN","layer":2},{"info":"≮⫘↔11101011011⋷≮⫘↔100100010010=≮⫘↔101011001001","layer":3},{"info":"≮⫘↔101011001001↛⩡⫤=≮⫘↔-1100100110101001000","layer":2},{"info":"NaN⨵⪆≮⫘↔-1100100110101001000=≮⫘↔10100000","layer":1},{"info":"↔≮⫘↔10100000=≮⫘↔1110001","layer":0}]}
{"id":777,"expression_no_base_symbol":"(($3555$⊭↱$1096$)⪠⩆⊳)⇷($1617$⨸⪁$1668$⫡⨏(⨵≀≌$9401$))⇼⇔∾($1442$⨐⩸⫘$7437$/(⨵≀≌$4229$))⋳⪒(($2768$%$2631$)≦≮≮)","expression":"((≮⫘↔110111100011⊭↱≮⫘↔10001001000)⪠⩆⊳)⇷(≮⫘↔11001010001⨸⪁≮⫘↔11010000100⫡⨏(⨵≀≌≮⫘↔10010010111001))⇼⇔∾(≮⫘↔10110100010⨐⩸⫘≮⫘↔1110100001101/(⨵≀≌≮⫘↔1000010000101))⋳⪒((≮⫘↔101011010000%≮⫘↔101001000111)≦≮≮)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":52,"operation_count":13,"complexity_ratio":4.0,"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":3555,"base":2},"right_expr":{"type":"numeric_atoms","value":1096,"base":2}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1617,"base":2},"right_expr":{"type":"numeric_atoms","value":1668,"base":2}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":9401,"base":2}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1442,"base":2},"right_expr":{"type":"numeric_atoms","value":7437,"base":2}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4229,"base":2}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2768,"base":2},"right_expr":{"type":"numeric_atoms","value":2631,"base":2}}}}},"used_operators":["tifHPKVTfV","mp7IySMOzn","JLbD19bQDL","COABgblf1C","QMFrweE19q","g55IO6H4Gj","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","fu6greOZ01","D4vGDi5EA2","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3555","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=3555, right_input=1096, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4913","layer":3},{"info":"compute unary expreesion, input=-4913, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"number node, value=1617","layer":4},{"info":"number node, value=1668","layer":4},{"info":"compute binary expreesion, left_input=1617, right_input=1668, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6570","layer":3},{"info":"number node, value=9401","layer":4},{"info":"compute unary expreesion, input=9401, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-28203","layer":3},{"info":"compute binary expreesion, left_input=6570, right_input=-28203, 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=-22773","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-22773, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":1},{"info":"number node, value=1442","layer":4},{"info":"number node, value=7437","layer":4},{"info":"compute binary expreesion, left_input=1442, right_input=7437, 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=4229","layer":4},{"info":"compute unary expreesion, input=4229, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-12687","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-12687, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2768","layer":4},{"info":"number node, value=2631","layer":4},{"info":"compute binary expreesion, left_input=2768, right_input=2631, op_id = k8jYdgA6NY binary_op_definition= 'None', output=137","layer":3},{"info":"compute unary expreesion, input=137, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-411","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-411, 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=0, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110111100011⊭↱≮⫘↔10001001000)⪠⩆⊳)⇷(≮⫘↔11001010001⨸⪁≮⫘↔11010000100⫡⨏(⨵≀≌≮⫘↔10010010111001))⇼⇔∾(≮⫘↔10110100010⨐⩸⫘≮⫘↔1110100001101/(⨵≀≌≮⫘↔1000010000101))⋳⪒((≮⫘↔101011010000%≮⫘↔101001000111)≦≮≮)=NaN","reverse_text":"NaN=((≮⫘↔110111100011⊭↱≮⫘↔10001001000)⪠⩆⊳)⇷(≮⫘↔11001010001⨸⪁≮⫘↔11010000100⫡⨏(⨵≀≌≮⫘↔10010010111001))⇼⇔∾(≮⫘↔10110100010⨐⩸⫘≮⫘↔1110100001101/(⨵≀≌≮⫘↔1000010000101))⋳⪒((≮⫘↔101011010000%≮⫘↔101001000111)≦≮≮)","cot":[{"info":"≮⫘↔110111100011⊭↱≮⫘↔10001001000=≮⫘↔-1001100110001","layer":3},{"info":"≮⫘↔-1001100110001⪠⩆⊳=≮⫘↔0","layer":2},{"info":"≮⫘↔11001010001⨸⪁≮⫘↔11010000100=≮⫘↔1100110101010","layer":3},{"info":"⨵≀≌≮⫘↔10010010111001=≮⫘↔-110111000101011","layer":3},{"info":"≮⫘↔1100110101010⫡⨏≮⫘↔-110111000101011=≮⫘↔-101100011110101","layer":2},{"info":"≮⫘↔0⇷≮⫘↔-101100011110101=≮⫘↔0","layer":1},{"info":"≮⫘↔10110100010⨐⩸⫘≮⫘↔1110100001101=NaN","layer":3},{"info":"⨵≀≌≮⫘↔1000010000101=≮⫘↔-11000110001111","layer":3},{"info":"NaN/≮⫘↔-11000110001111=NaN","layer":2},{"info":"≮⫘↔101011010000%≮⫘↔101001000111=≮⫘↔10001001","layer":3},{"info":"≮⫘↔10001001≦≮≮=≮⫘↔-110011011","layer":2},{"info":"NaN⋳⪒≮⫘↔-110011011=NaN","layer":1},{"info":"≮⫘↔0⇼⇔∾NaN=NaN","layer":0}]}
{"id":778,"expression_no_base_symbol":"(((⪲⇎$7455$)-$1963$∼$2947$)≋⫹)⪨≂$2701$⪢$1861$⨐⩸⫘$3846$⩚⊴⇥$1742$-(⩦⩻⨪$2969$)-($1245$⨵⪆$1888$)","expression":"(((⪲⇎≮⫘↔1110100011111)-≮⫘↔11110101011∼≮⫘↔101110000011)≋⫹)⪨≂≮⫘↔101010001101⪢≮⫘↔11101000101⨐⩸⫘≮⫘↔111100000110⩚⊴⇥≮⫘↔11011001110-(⩦⩻⨪≮⫘↔101110011001)-(≮⫘↔10011011101⨵⪆≮⫘↔11101100000)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5418,"operation_count":12,"complexity_ratio":451.5,"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":7455,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1963,"base":2},"right_expr":{"type":"numeric_atoms","value":2947,"base":2}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2701,"base":2},"right_expr":{"type":"numeric_atoms","value":1861,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3846,"base":2},"right_expr":{"type":"numeric_atoms","value":1742,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2969,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1245,"base":2},"right_expr":{"type":"numeric_atoms","value":1888,"base":2}}}}},"used_operators":["sdazOOVcIp","N41Kp7NANJ","rysDP5nf3Z","XPYlsWDdGa","DyGG3AbaNP","fu6greOZ01","dWAJyo7jo9","NTOWxs364D","2td37pGCOC","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","3ViojmjbAp","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7455","layer":4},{"info":"compute unary expreesion, input=7455, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=14910","layer":3},{"info":"number node, value=1963","layer":4},{"info":"number node, value=2947","layer":4},{"info":"compute binary expreesion, left_input=1963, right_input=2947, 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=14910, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":1},{"info":"number node, value=2701","layer":4},{"info":"number node, value=1861","layer":4},{"info":"compute binary expreesion, left_input=2701, right_input=1861, 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=3846","layer":4},{"info":"number node, value=1742","layer":4},{"info":"compute binary expreesion, left_input=3846, right_input=1742, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5709","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5709, 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=2969","layer":4},{"info":"compute unary expreesion, input=2969, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2969","layer":3},{"info":"number node, value=1245","layer":4},{"info":"number node, value=1888","layer":4},{"info":"compute binary expreesion, left_input=1245, right_input=1888, 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=2969, right_input=160, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2809","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2809, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((⪲⇎≮⫘↔1110100011111)-≮⫘↔11110101011∼≮⫘↔101110000011)≋⫹)⪨≂≮⫘↔101010001101⪢≮⫘↔11101000101⨐⩸⫘≮⫘↔111100000110⩚⊴⇥≮⫘↔11011001110-(⩦⩻⨪≮⫘↔101110011001)-(≮⫘↔10011011101⨵⪆≮⫘↔11101100000)=NaN","reverse_text":"NaN=(((⪲⇎≮⫘↔1110100011111)-≮⫘↔11110101011∼≮⫘↔101110000011)≋⫹)⪨≂≮⫘↔101010001101⪢≮⫘↔11101000101⨐⩸⫘≮⫘↔111100000110⩚⊴⇥≮⫘↔11011001110-(⩦⩻⨪≮⫘↔101110011001)-(≮⫘↔10011011101⨵⪆≮⫘↔11101100000)","cot":[{"info":"⪲⇎≮⫘↔1110100011111=≮⫘↔11101000111110","layer":3},{"info":"≮⫘↔11110101011∼≮⫘↔101110000011=NaN","layer":3},{"info":"≮⫘↔11101000111110-NaN=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"≮⫘↔101010001101⪢≮⫘↔11101000101=NaN","layer":3},{"info":"≮⫘↔111100000110⩚⊴⇥≮⫘↔11011001110=≮⫘↔-1011001001101","layer":3},{"info":"NaN⨐⩸⫘≮⫘↔-1011001001101=NaN","layer":2},{"info":"⩦⩻⨪≮⫘↔101110011001=≮⫘↔101110011001","layer":3},{"info":"≮⫘↔10011011101⨵⪆≮⫘↔11101100000=≮⫘↔10100000","layer":3},{"info":"≮⫘↔101110011001-≮⫘↔10100000=≮⫘↔101011111001","layer":2},{"info":"NaN-≮⫘↔101011111001=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":779,"expression_no_base_symbol":"(+⊝⨔$1918$)∀⇚≩($8499$↺$1410$)⨐⩸⫘(($5823$*$2092$)⫸⊐($1516$⊠≄⫣))⨳⩥⨓$1367$⪮%⊝$2316$≭($1571$%$5525$)≎⊠⪸(⨰⫟⨤($5642$⋳⪒$2949$))","expression":"(+⊝⨔≮⫘↔11101111110)∀⇚≩(≮⫘↔10000100110011↺≮⫘↔10110000010)⨐⩸⫘((≮⫘↔1011010111111*≮⫘↔100000101100)⫸⊐(≮⫘↔10111101100⊠≄⫣))⨳⩥⨓≮⫘↔10101010111⪮%⊝≮⫘↔100100001100≭(≮⫘↔11000100011%≮⫘↔1010110010101)≎⊠⪸(⨰⫟⨤(≮⫘↔1011000001010⋳⪒≮⫘↔101110000101))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":60574,"operation_count":14,"complexity_ratio":4326.714285714285,"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":1918,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":8499,"base":2},"right_expr":{"type":"numeric_atoms","value":1410,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5823,"base":2},"right_expr":{"type":"numeric_atoms","value":2092,"base":2}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1516,"base":2}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1367,"base":2},"right_expr":{"type":"numeric_atoms","value":2316,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1571,"base":2},"right_expr":{"type":"numeric_atoms","value":5525,"base":2}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5642,"base":2},"right_expr":{"type":"numeric_atoms","value":2949,"base":2}}}}},"used_operators":["nCS4ZIUYfx","fu6greOZ01","LRNGc0VcxI","DhbWaqg5eL","7j4O788W3g","mqXw5SEYmG","9HNa5Wba9A","DIvbN7qnHd","bJkvcejdHO","rxpJgHHUmx","IWmyXbctLI","k8jYdgA6NY","Tw270M8GLb","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","X99M06cbEe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-111101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1918","layer":4},{"info":"compute unary expreesion, input=1918, 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=8499","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=8499, right_input=1410, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1410","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=1410, 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=5823","layer":4},{"info":"number node, value=2092","layer":4},{"info":"compute binary expreesion, left_input=5823, right_input=2092, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12181716","layer":3},{"info":"number node, value=1516","layer":4},{"info":"compute unary expreesion, input=1516, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=12181716, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-125","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-125, op_id = 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=128","layer":1},{"info":"number node, value=1367","layer":4},{"info":"number node, value=2316","layer":4},{"info":"compute binary expreesion, left_input=1367, right_input=2316, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3050","layer":3},{"info":"number node, value=1571","layer":4},{"info":"number node, value=5525","layer":4},{"info":"compute binary expreesion, left_input=1571, right_input=5525, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1571","layer":3},{"info":"compute binary expreesion, left_input=3050, right_input=1571, 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=5642","layer":4},{"info":"number node, value=2949","layer":4},{"info":"compute binary expreesion, left_input=5642, right_input=2949, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8048","layer":3},{"info":"compute unary expreesion, input=8048, 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=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":"compute binary expreesion, left_input=128, right_input=67, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-61","layer":0}],"base":2,"result_base":2,"text":"(+⊝⨔≮⫘↔11101111110)∀⇚≩(≮⫘↔10000100110011↺≮⫘↔10110000010)⨐⩸⫘((≮⫘↔1011010111111*≮⫘↔100000101100)⫸⊐(≮⫘↔10111101100⊠≄⫣))⨳⩥⨓≮⫘↔10101010111⪮%⊝≮⫘↔100100001100≭(≮⫘↔11000100011%≮⫘↔1010110010101)≎⊠⪸(⨰⫟⨤(≮⫘↔1011000001010⋳⪒≮⫘↔101110000101))=≮⫘↔-111101","reverse_text":"≮⫘↔-111101=(+⊝⨔≮⫘↔11101111110)∀⇚≩(≮⫘↔10000100110011↺≮⫘↔10110000010)⨐⩸⫘((≮⫘↔1011010111111*≮⫘↔100000101100)⫸⊐(≮⫘↔10111101100⊠≄⫣))⨳⩥⨓≮⫘↔10101010111⪮%⊝≮⫘↔100100001100≭(≮⫘↔11000100011%≮⫘↔1010110010101)≎⊠⪸(⨰⫟⨤(≮⫘↔1011000001010⋳⪒≮⫘↔101110000101))","cot":[{"info":"+⊝⨔≮⫘↔11101111110=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔10000100110011↺≮⫘↔10110000010=≮⫘↔10110000010","layer":3},{"info":"≮⫘↔10111110010∀⇚≩≮⫘↔10110000010=NaN","layer":2},{"info":"≮⫘↔1011010111111*≮⫘↔100000101100=≮⫘↔101110011110000011010100","layer":3},{"info":"≮⫘↔10111101100⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔101110011110000011010100⫸⊐≮⫘↔0=≮⫘↔-1111101","layer":2},{"info":"NaN⨐⩸⫘≮⫘↔-1111101=≮⫘↔10000000","layer":1},{"info":"≮⫘↔10101010111⪮%⊝≮⫘↔100100001100=≮⫘↔101111101010","layer":3},{"info":"≮⫘↔11000100011%≮⫘↔1010110010101=≮⫘↔11000100011","layer":3},{"info":"≮⫘↔101111101010≭≮⫘↔11000100011=NaN","layer":2},{"info":"≮⫘↔1011000001010⋳⪒≮⫘↔101110000101=≮⫘↔1111101110000","layer":3},{"info":"⨰⫟⨤≮⫘↔1111101110000=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=≮⫘↔1000011","layer":1},{"info":"≮⫘↔10000000⨳⩥⨓≮⫘↔1000011=≮⫘↔-111101","layer":0}]}
{"id":780,"expression_no_base_symbol":"(($4880$+⇶⊼$4063$)⪮%⊝($1626$⪐)⪒($1180$↪⪝)⋳⪒$7723$∼$2534$)⨰(($2643$⋳⪒$1010$⨁⊸⫻)⊉≛↸((⨰⫟⨤$1711$)*(↽≂$5408$)))","expression":"((≮⫘↔1001100010000+⇶⊼≮⫘↔111111011111)⪮%⊝(≮⫘↔11001011010⪐)⪒(≮⫘↔10010011100↪⪝)⋳⪒≮⫘↔1111000101011∼≮⫘↔100111100110)⨰((≮⫘↔101001010011⋳⪒≮⫘↔1111110010⨁⊸⫻)⊉≛↸((⨰⫟⨤≮⫘↔11010101111)*(↽≂≮⫘↔1010100100000)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6899,"operation_count":14,"complexity_ratio":492.7857142857143,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4880,"base":2},"right_expr":{"type":"numeric_atoms","value":4063,"base":2}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1626,"base":2}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1180,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7723,"base":2},"right_expr":{"type":"numeric_atoms","value":2534,"base":2}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2643,"base":2},"right_expr":{"type":"numeric_atoms","value":1010,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1711,"base":2}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5408,"base":2}}}}},"used_operators":["eewbuw0ToL","f6k1SAg4EE","IWmyXbctLI","TpPTUOHfaN","eH2TOUuTDT","12rbrZMWeM","l07mrZUIn9","DyGG3AbaNP","DZ8iAZOCBD","glklzrTFfD","9HNa5Wba9A","Tw270M8GLb","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4880","layer":4},{"info":"number node, value=4063","layer":4},{"info":"compute binary expreesion, left_input=4880, right_input=4063, 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=1626","layer":4},{"info":"compute unary expreesion, input=1626, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3252","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3252, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1180","layer":4},{"info":"compute unary expreesion, input=1180, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=72194760","layer":3},{"info":"number node, value=7723","layer":4},{"info":"number node, value=2534","layer":4},{"info":"compute binary expreesion, left_input=7723, right_input=2534, 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=72194760, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=2643","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=2643, right_input=1010, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3989","layer":3},{"info":"compute unary expreesion, input=3989, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3989","layer":2},{"info":"number node, value=1711","layer":4},{"info":"compute unary expreesion, input=1711, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=5408","layer":4},{"info":"compute unary expreesion, input=5408, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-10816","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10816, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3989, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7978","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7978, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1001100010000+⇶⊼≮⫘↔111111011111)⪮%⊝(≮⫘↔11001011010⪐)⪒(≮⫘↔10010011100↪⪝)⋳⪒≮⫘↔1111000101011∼≮⫘↔100111100110)⨰((≮⫘↔101001010011⋳⪒≮⫘↔1111110010⨁⊸⫻)⊉≛↸((⨰⫟⨤≮⫘↔11010101111)*(↽≂≮⫘↔1010100100000)))=NaN","reverse_text":"NaN=((≮⫘↔1001100010000+⇶⊼≮⫘↔111111011111)⪮%⊝(≮⫘↔11001011010⪐)⪒(≮⫘↔10010011100↪⪝)⋳⪒≮⫘↔1111000101011∼≮⫘↔100111100110)⨰((≮⫘↔101001010011⋳⪒≮⫘↔1111110010⨁⊸⫻)⊉≛↸((⨰⫟⨤≮⫘↔11010101111)*(↽≂≮⫘↔1010100100000)))","cot":[{"info":"≮⫘↔1001100010000+⇶⊼≮⫘↔111111011111=NaN","layer":3},{"info":"≮⫘↔11001011010⪐=≮⫘↔110010110100","layer":3},{"info":"NaN⪮%⊝≮⫘↔110010110100=NaN","layer":2},{"info":"≮⫘↔10010011100↪⪝=≮⫘↔100010011011001101011001000","layer":3},{"info":"≮⫘↔1111000101011∼≮⫘↔100111100110=NaN","layer":3},{"info":"≮⫘↔100010011011001101011001000⋳⪒NaN=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"≮⫘↔101001010011⋳⪒≮⫘↔1111110010=≮⫘↔111110010101","layer":3},{"info":"≮⫘↔111110010101⨁⊸⫻=≮⫘↔111110010101","layer":2},{"info":"⨰⫟⨤≮⫘↔11010101111=NaN","layer":3},{"info":"↽≂≮⫘↔1010100100000=≮⫘↔-10101001000000","layer":3},{"info":"NaN*≮⫘↔-10101001000000=NaN","layer":2},{"info":"≮⫘↔111110010101⊉≛↸NaN=≮⫘↔1111100101010","layer":1},{"info":"NaN⨰≮⫘↔1111100101010=NaN","layer":0}]}
{"id":781,"expression_no_base_symbol":"((($1352$-$4755$)⨁⊸⫻)⋷(⪲⇎($5363$*$2461$)))⪐","expression":"(((≮⫘↔10101001000-≮⫘↔1001010010011)⨁⊸⫻)⋷(⪲⇎(≮⫘↔1010011110011*≮⫘↔100110011101)))⪐","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2471,"operation_count":6,"complexity_ratio":411.8333333333333,"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":1352,"base":2},"right_expr":{"type":"numeric_atoms","value":4755,"base":2}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5363,"base":2},"right_expr":{"type":"numeric_atoms","value":2461,"base":2}}}}},"used_operators":["eH2TOUuTDT","23Mk6UjR3U","glklzrTFfD","rysDP5nf3Z","XPYlsWDdGa","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"≮⫘↔110101001011000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1352","layer":4},{"info":"number node, value=4755","layer":4},{"info":"compute binary expreesion, left_input=1352, right_input=4755, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3403","layer":3},{"info":"compute unary expreesion, input=-3403, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-6806","layer":2},{"info":"number node, value=5363","layer":4},{"info":"number node, value=2461","layer":4},{"info":"compute binary expreesion, left_input=5363, right_input=2461, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13198343","layer":3},{"info":"compute unary expreesion, input=13198343, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=26396686","layer":2},{"info":"compute binary expreesion, left_input=-6806, right_input=26396686, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=13612","layer":1},{"info":"compute unary expreesion, input=13612, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=27224","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10101001000-≮⫘↔1001010010011)⨁⊸⫻)⋷(⪲⇎(≮⫘↔1010011110011*≮⫘↔100110011101)))⪐=≮⫘↔110101001011000","reverse_text":"≮⫘↔110101001011000=(((≮⫘↔10101001000-≮⫘↔1001010010011)⨁⊸⫻)⋷(⪲⇎(≮⫘↔1010011110011*≮⫘↔100110011101)))⪐","cot":[{"info":"≮⫘↔10101001000-≮⫘↔1001010010011=≮⫘↔-110101001011","layer":3},{"info":"≮⫘↔-110101001011⨁⊸⫻=≮⫘↔-1101010010110","layer":2},{"info":"≮⫘↔1010011110011*≮⫘↔100110011101=≮⫘↔110010010110010000000111","layer":3},{"info":"⪲⇎≮⫘↔110010010110010000000111=≮⫘↔1100100101100100000001110","layer":2},{"info":"≮⫘↔-1101010010110⋷≮⫘↔1100100101100100000001110=≮⫘↔11010100101100","layer":1},{"info":"≮⫘↔11010100101100⪐=≮⫘↔110101001011000","layer":0}]}
{"id":782,"expression_no_base_symbol":"((($1101$∸)⋫)⇷(($9356$∲⫓$5266$)⋫))⪛((($1818$⋝⋈⪟$5259$)⩠)⫩⊇)","expression":"(((≮⫘↔10001001101∸)⋫)⇷((≮⫘↔10010010001100∲⫓≮⫘↔1010010010010)⋫))⪛(((≮⫘↔11100011010⋝⋈⪟≮⫘↔1010010001011)⩠)⫩⊇)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2868,"operation_count":9,"complexity_ratio":318.6666666666667,"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":1101,"base":2}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":9356,"base":2},"right_expr":{"type":"numeric_atoms","value":5266,"base":2}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1818,"base":2},"right_expr":{"type":"numeric_atoms","value":5259,"base":2}}}}},"used_operators":["uFcxV4UQCh","mp7IySMOzn","JL8yIekQnl","o20kRiQErp","i8ToyICDmI","BjRHVeLaeN","sJAwomhLZr","2DDjHMKMc0"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1101","layer":4},{"info":"compute unary expreesion, input=1101, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=9356","layer":4},{"info":"number node, value=5266","layer":4},{"info":"compute binary expreesion, left_input=9356, right_input=5266, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":1},{"info":"number node, value=1818","layer":4},{"info":"number node, value=5259","layer":4},{"info":"compute binary expreesion, left_input=1818, right_input=5259, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1818","layer":3},{"info":"compute unary expreesion, input=1818, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=42","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=42, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10001001101∸)⋫)⇷((≮⫘↔10010010001100∲⫓≮⫘↔1010010010010)⋫))⪛(((≮⫘↔11100011010⋝⋈⪟≮⫘↔1010010001011)⩠)⫩⊇)=≮⫘↔0","reverse_text":"≮⫘↔0=(((≮⫘↔10001001101∸)⋫)⇷((≮⫘↔10010010001100∲⫓≮⫘↔1010010010010)⋫))⪛(((≮⫘↔11100011010⋝⋈⪟≮⫘↔1010010001011)⩠)⫩⊇)","cot":[{"info":"≮⫘↔10001001101∸=≮⫘↔10110001","layer":3},{"info":"≮⫘↔10110001⋫=≮⫘↔10110001","layer":2},{"info":"≮⫘↔10010010001100∲⫓≮⫘↔1010010010010=≮⫘↔0","layer":3},{"info":"≮⫘↔0⋫=≮⫘↔0","layer":2},{"info":"≮⫘↔10110001⇷≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔11100011010⋝⋈⪟≮⫘↔1010010001011=≮⫘↔11100011010","layer":3},{"info":"≮⫘↔11100011010⩠=≮⫘↔0","layer":2},{"info":"≮⫘↔0⫩⊇=≮⫘↔101010","layer":1},{"info":"≮⫘↔0⪛≮⫘↔101010=≮⫘↔0","layer":0}]}
{"id":783,"expression_no_base_symbol":"(∂($6178$⩤))∑⇟⊟((≉$3406$)↙$2202$⨰$1195$)-(⋗⩬⋾(⊄⩳↩$2107$))⋳⪒(⋗⩬⋾$2141$⪘⫢$1568$)","expression":"(∂(≮⫘↔1100000100010⩤))∑⇟⊟((≉≮⫘↔110101001110)↙≮⫘↔100010011010⨰≮⫘↔10010101011)-(⋗⩬⋾(⊄⩳↩≮⫘↔100000111011))⋳⪒(⋗⩬⋾≮⫘↔100001011101⪘⫢≮⫘↔11000100000)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1479,"operation_count":12,"complexity_ratio":123.25,"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":6178,"base":2}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3406,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2202,"base":2},"right_expr":{"type":"numeric_atoms","value":1195,"base":2}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2107,"base":2}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2141,"base":2},"right_expr":{"type":"numeric_atoms","value":1568,"base":2}}}}},"used_operators":["rysDP5nf3Z","U7g4x0WXJJ","Uaa54Peajs","Z2TMIBDE3Q","yyfyN0ffXY","e1ybzncUwg","eewbuw0ToL","12rbrZMWeM","DpFCA1CohY","8w2t5hMYqp","oacrs7FA3X"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6178","layer":4},{"info":"compute unary expreesion, input=6178, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-6178","layer":3},{"info":"compute unary expreesion, input=-6178, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=5914","layer":2},{"info":"number node, value=3406","layer":4},{"info":"compute unary expreesion, input=3406, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3937","layer":3},{"info":"number node, value=2202","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=2202, right_input=1195, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1017","layer":3},{"info":"compute binary expreesion, left_input=3937, right_input=1017, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3051","layer":2},{"info":"compute binary expreesion, left_input=5914, right_input=-3051, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2107","layer":4},{"info":"compute unary expreesion, input=2107, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6321","layer":3},{"info":"compute unary expreesion, input=-6321, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=18963","layer":2},{"info":"number node, value=2141","layer":4},{"info":"number node, value=1568","layer":4},{"info":"compute binary expreesion, left_input=2141, right_input=1568, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4158","layer":3},{"info":"compute unary expreesion, input=4158, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-12474","layer":2},{"info":"compute binary expreesion, left_input=18963, right_input=-12474, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=50113","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=50113, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(∂(≮⫘↔1100000100010⩤))∑⇟⊟((≉≮⫘↔110101001110)↙≮⫘↔100010011010⨰≮⫘↔10010101011)-(⋗⩬⋾(⊄⩳↩≮⫘↔100000111011))⋳⪒(⋗⩬⋾≮⫘↔100001011101⪘⫢≮⫘↔11000100000)=NaN","reverse_text":"NaN=(∂(≮⫘↔1100000100010⩤))∑⇟⊟((≉≮⫘↔110101001110)↙≮⫘↔100010011010⨰≮⫘↔10010101011)-(⋗⩬⋾(⊄⩳↩≮⫘↔100000111011))⋳⪒(⋗⩬⋾≮⫘↔100001011101⪘⫢≮⫘↔11000100000)","cot":[{"info":"≮⫘↔1100000100010⩤=≮⫘↔-1100000100010","layer":3},{"info":"∂≮⫘↔-1100000100010=≮⫘↔1011100011010","layer":2},{"info":"≉≮⫘↔110101001110=≮⫘↔111101100001","layer":3},{"info":"≮⫘↔100010011010⨰≮⫘↔10010101011=≮⫘↔1111111001","layer":3},{"info":"≮⫘↔111101100001↙≮⫘↔1111111001=≮⫘↔-101111101011","layer":2},{"info":"≮⫘↔1011100011010∑⇟⊟≮⫘↔-101111101011=NaN","layer":1},{"info":"⊄⩳↩≮⫘↔100000111011=≮⫘↔-1100010110001","layer":3},{"info":"⋗⩬⋾≮⫘↔-1100010110001=≮⫘↔100101000010011","layer":2},{"info":"≮⫘↔100001011101⪘⫢≮⫘↔11000100000=≮⫘↔1000000111110","layer":3},{"info":"⋗⩬⋾≮⫘↔1000000111110=≮⫘↔-11000010111010","layer":2},{"info":"≮⫘↔100101000010011⋳⪒≮⫘↔-11000010111010=≮⫘↔1100001111000001","layer":1},{"info":"NaN-≮⫘↔1100001111000001=NaN","layer":0}]}
{"id":784,"expression_no_base_symbol":"≦∁(↯⪼$3164$)⨽(↥$7808$)*(-$2721$⇷$2546$)","expression":"≦∁(↯⪼≮⫘↔110001011100)⨽(↥≮⫘↔1111010000000)*(-≮⫘↔101010100001⇷≮⫘↔100111110010)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":38340,"operation_count":7,"complexity_ratio":5477.142857142857,"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":3164,"base":2}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":7808,"base":2}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2721,"base":2},"right_expr":{"type":"numeric_atoms","value":2546,"base":2}}}}},"used_operators":["9ICcGScMcE","9HNa5Wba9A","8HhzD0ZcuI","8jW3W4yZS5","A8NUZmVepG","t8gj7n24qd","mp7IySMOzn"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"≮⫘↔11101110101100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3164","layer":4},{"info":"compute unary expreesion, input=3164, 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=7808","layer":4},{"info":"compute unary expreesion, input=7808, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=5","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=5, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-24","layer":2},{"info":"number node, value=2721","layer":4},{"info":"number node, value=2546","layer":4},{"info":"compute binary expreesion, left_input=2721, right_input=2546, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5092","layer":3},{"info":"compute unary expreesion, input=5092, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5092","layer":2},{"info":"compute binary expreesion, left_input=-24, right_input=-5092, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=122208","layer":1},{"info":"compute unary expreesion, input=122208, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=122208","layer":0}],"base":2,"result_base":2,"text":"≦∁(↯⪼≮⫘↔110001011100)⨽(↥≮⫘↔1111010000000)*(-≮⫘↔101010100001⇷≮⫘↔100111110010)=≮⫘↔11101110101100000","reverse_text":"≮⫘↔11101110101100000=≦∁(↯⪼≮⫘↔110001011100)⨽(↥≮⫘↔1111010000000)*(-≮⫘↔101010100001⇷≮⫘↔100111110010)","cot":[{"info":"↯⪼≮⫘↔110001011100=≮⫘↔-10101","layer":3},{"info":"↥≮⫘↔1111010000000=≮⫘↔101","layer":3},{"info":"≮⫘↔-10101⨽≮⫘↔101=≮⫘↔-11000","layer":2},{"info":"≮⫘↔101010100001⇷≮⫘↔100111110010=≮⫘↔1001111100100","layer":3},{"info":"-≮⫘↔1001111100100=≮⫘↔-1001111100100","layer":2},{"info":"≮⫘↔-11000*≮⫘↔-1001111100100=≮⫘↔11101110101100000","layer":1},{"info":"≦∁≮⫘↔11101110101100000=≮⫘↔11101110101100000","layer":0}]}
{"id":785,"expression_no_base_symbol":"(⨑⩽⪐$4661$≹⇙⪍$4669$⇷($1595$⪠⩆⊳))↙((⫛⫱⨽($1580$⨸⪁$1051$))⪄(↔($1649$⨪↰⇹$2307$)))","expression":"(⨑⩽⪐≮⫘↔1001000110101≹⇙⪍≮⫘↔1001000111101⇷(≮⫘↔11000111011⪠⩆⊳))↙((⫛⫱⨽(≮⫘↔11000101100⨸⪁≮⫘↔10000011011))⪄(↔(≮⫘↔11001110001⨪↰⇹≮⫘↔100100000011)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12543,"operation_count":10,"complexity_ratio":1254.3,"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":4661,"base":2},"right_expr":{"type":"numeric_atoms","value":4669,"base":2}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1595,"base":2}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1580,"base":2},"right_expr":{"type":"numeric_atoms","value":1051,"base":2}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1649,"base":2},"right_expr":{"type":"numeric_atoms","value":2307,"base":2}}}}},"used_operators":["yyfyN0ffXY","AF7qkfDlqP","mp7IySMOzn","AHs5Up7iyr","JLbD19bQDL","SUmda5xLS4","DlLNRPXxWL","g55IO6H4Gj","ruOEQAzv1W","tmPS8pqC7x"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rJVOvQCfKK"],"result":"≮⫘↔-110111001010101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4661","layer":4},{"info":"number node, value=4669","layer":4},{"info":"compute binary expreesion, left_input=4661, right_input=4669, 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=1595","layer":4},{"info":"compute unary expreesion, input=1595, 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=nan, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":1},{"info":"number node, value=1580","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=1580, right_input=1051, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5262","layer":3},{"info":"compute unary expreesion, input=5262, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1649","layer":4},{"info":"number node, value=2307","layer":4},{"info":"compute binary expreesion, left_input=1649, right_input=2307, 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=1649","layer":3},{"info":"compute unary expreesion, input=1649, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1376","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1376, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=9415","layer":1},{"info":"compute binary expreesion, left_input=789, right_input=9415, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-28245","layer":0}],"base":2,"result_base":2,"text":"(⨑⩽⪐≮⫘↔1001000110101≹⇙⪍≮⫘↔1001000111101⇷(≮⫘↔11000111011⪠⩆⊳))↙((⫛⫱⨽(≮⫘↔11000101100⨸⪁≮⫘↔10000011011))⪄(↔(≮⫘↔11001110001⨪↰⇹≮⫘↔100100000011)))=≮⫘↔-110111001010101","reverse_text":"≮⫘↔-110111001010101=(⨑⩽⪐≮⫘↔1001000110101≹⇙⪍≮⫘↔1001000111101⇷(≮⫘↔11000111011⪠⩆⊳))↙((⫛⫱⨽(≮⫘↔11000101100⨸⪁≮⫘↔10000011011))⪄(↔(≮⫘↔11001110001⨪↰⇹≮⫘↔100100000011)))","cot":[{"info":"≮⫘↔1001000110101≹⇙⪍≮⫘↔1001000111101=NaN","layer":3},{"info":"≮⫘↔11000111011⪠⩆⊳=≮⫘↔0","layer":3},{"info":"NaN⇷≮⫘↔0=≮⫘↔0","layer":2},{"info":"⨑⩽⪐≮⫘↔0=≮⫘↔1100010101","layer":1},{"info":"≮⫘↔11000101100⨸⪁≮⫘↔10000011011=≮⫘↔1010010001110","layer":3},{"info":"⫛⫱⨽≮⫘↔1010010001110=≮⫘↔0","layer":2},{"info":"≮⫘↔11001110001⨪↰⇹≮⫘↔100100000011=≮⫘↔11001110001","layer":3},{"info":"↔≮⫘↔11001110001=≮⫘↔-10101100000","layer":2},{"info":"≮⫘↔0⪄≮⫘↔-10101100000=≮⫘↔10010011000111","layer":1},{"info":"≮⫘↔1100010101↙≮⫘↔10010011000111=≮⫘↔-110111001010101","layer":0}]}
{"id":786,"expression_no_base_symbol":"(⪲⇎(↥$3824$)⋓($3967$≧⫂∧$1775$))⊉≛↸((+⊝⨔$1286$)⫡⨏$6917$⊭↱$6706$)⨐⩸⫘($4176$⫡⨏$4034$)⪢(⨈⫕$2317$)","expression":"(⪲⇎(↥≮⫘↔111011110000)⋓(≮⫘↔111101111111≧⫂∧≮⫘↔11011101111))⊉≛↸((+⊝⨔≮⫘↔10100000110)⫡⨏≮⫘↔1101100000101⊭↱≮⫘↔1101000110010)⨐⩸⫘(≮⫘↔1000001010000⫡⨏≮⫘↔111111000010)⪢(⨈⫕≮⫘↔100100001101)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":37649,"operation_count":12,"complexity_ratio":3137.4166666666665,"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":3824,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3967,"base":2},"right_expr":{"type":"numeric_atoms","value":1775,"base":2}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1286,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6917,"base":2},"right_expr":{"type":"numeric_atoms","value":6706,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4176,"base":2},"right_expr":{"type":"numeric_atoms","value":4034,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2317,"base":2}}}}},"used_operators":["DZ8iAZOCBD","XPYlsWDdGa","T2fj7uvVaJ","A8NUZmVepG","Ph9nP6C5qx","fu6greOZ01","QMFrweE19q","DhbWaqg5eL","COABgblf1C","dWAJyo7jo9","megm06wKyl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3824","layer":4},{"info":"compute unary expreesion, input=3824, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=50","layer":3},{"info":"number node, value=3967","layer":4},{"info":"number node, value=1775","layer":4},{"info":"compute binary expreesion, left_input=3967, right_input=1775, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1302","layer":3},{"info":"compute binary expreesion, left_input=50, right_input=1302, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=0","layer":1},{"info":"number node, value=1286","layer":4},{"info":"compute unary expreesion, input=1286, 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=6917","layer":4},{"info":"number node, value=6706","layer":4},{"info":"compute binary expreesion, left_input=6917, right_input=6706, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-417","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-417, 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=7559","layer":2},{"info":"number node, value=4176","layer":4},{"info":"number node, value=4034","layer":4},{"info":"compute binary expreesion, left_input=4176, right_input=4034, 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=29731","layer":3},{"info":"number node, value=2317","layer":4},{"info":"compute unary expreesion, input=2317, 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=29731, right_input=-21, 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=7559, 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=0, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(⪲⇎(↥≮⫘↔111011110000)⋓(≮⫘↔111101111111≧⫂∧≮⫘↔11011101111))⊉≛↸((+⊝⨔≮⫘↔10100000110)⫡⨏≮⫘↔1101100000101⊭↱≮⫘↔1101000110010)⨐⩸⫘(≮⫘↔1000001010000⫡⨏≮⫘↔111111000010)⪢(⨈⫕≮⫘↔100100001101)=≮⫘↔0","reverse_text":"≮⫘↔0=(⪲⇎(↥≮⫘↔111011110000)⋓(≮⫘↔111101111111≧⫂∧≮⫘↔11011101111))⊉≛↸((+⊝⨔≮⫘↔10100000110)⫡⨏≮⫘↔1101100000101⊭↱≮⫘↔1101000110010)⨐⩸⫘(≮⫘↔1000001010000⫡⨏≮⫘↔111111000010)⪢(⨈⫕≮⫘↔100100001101)","cot":[{"info":"↥≮⫘↔111011110000=≮⫘↔110010","layer":3},{"info":"≮⫘↔111101111111≧⫂∧≮⫘↔11011101111=≮⫘↔10100010110","layer":3},{"info":"≮⫘↔110010⋓≮⫘↔10100010110=≮⫘↔0","layer":2},{"info":"⪲⇎≮⫘↔0=≮⫘↔0","layer":1},{"info":"+⊝⨔≮⫘↔10100000110=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔1101100000101⊭↱≮⫘↔1101000110010=≮⫘↔-110100001","layer":3},{"info":"≮⫘↔10111110010⫡⨏≮⫘↔-110100001=≮⫘↔1110110000111","layer":2},{"info":"≮⫘↔1000001010000⫡⨏≮⫘↔111111000010=≮⫘↔111010000100011","layer":3},{"info":"⨈⫕≮⫘↔100100001101=≮⫘↔-10101","layer":3},{"info":"≮⫘↔111010000100011⪢≮⫘↔-10101=NaN","layer":2},{"info":"≮⫘↔1110110000111⨐⩸⫘NaN=NaN","layer":1},{"info":"≮⫘↔0⊉≛↸NaN=≮⫘↔0","layer":0}]}
{"id":787,"expression_no_base_symbol":"(↯⪼($4250$⇷$4306$)⪮%⊝($1652$∲⫓$4333$))⨟⋌⩍((↥$3382$)∀⇚≩$1377$⪘⫢$2841$)⊴(⫓⪴($1139$⨳⩥⨓$1210$))","expression":"(↯⪼(≮⫘↔1000010011010⇷≮⫘↔1000011010010)⪮%⊝(≮⫘↔11001110100∲⫓≮⫘↔1000011101101))⨟⋌⩍((↥≮⫘↔110100110110)∀⇚≩≮⫘↔10101100001⪘⫢≮⫘↔101100011001)⊴(⫓⪴(≮⫘↔10001110011⨳⩥⨓≮⫘↔10010111010))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":96739439,"operation_count":11,"complexity_ratio":8794494.454545455,"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":4250,"base":2},"right_expr":{"type":"numeric_atoms","value":4306,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1652,"base":2},"right_expr":{"type":"numeric_atoms","value":4333,"base":2}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3382,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1377,"base":2},"right_expr":{"type":"numeric_atoms","value":2841,"base":2}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1139,"base":2},"right_expr":{"type":"numeric_atoms","value":1210,"base":2}}}}},"used_operators":["rGHVDoGpnC","8jW3W4yZS5","IWmyXbctLI","mp7IySMOzn","i8ToyICDmI","Nsiff2A1zJ","LRNGc0VcxI","A8NUZmVepG","oacrs7FA3X","eLxqMNBOBk","nCS4ZIUYfx"],"dependent_operators":["Tcnh7f0tEr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","X99M06cbEe","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4250","layer":4},{"info":"number node, value=4306","layer":4},{"info":"compute binary expreesion, left_input=4250, right_input=4306, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8612","layer":3},{"info":"number node, value=1652","layer":4},{"info":"number node, value=4333","layer":4},{"info":"compute binary expreesion, left_input=1652, right_input=4333, 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=8612, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=3382","layer":4},{"info":"compute unary expreesion, input=3382, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=16","layer":3},{"info":"number node, value=1377","layer":4},{"info":"number node, value=2841","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=2841, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2630","layer":3},{"info":"compute binary expreesion, left_input=16, right_input=2630, 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=264174215","layer":2},{"info":"number node, value=1139","layer":4},{"info":"number node, value=1210","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=1210, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=71","layer":3},{"info":"compute unary expreesion, input=71, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=5041","layer":2},{"info":"compute binary expreesion, left_input=264174215, right_input=5041, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↯⪼(≮⫘↔1000010011010⇷≮⫘↔1000011010010)⪮%⊝(≮⫘↔11001110100∲⫓≮⫘↔1000011101101))⨟⋌⩍((↥≮⫘↔110100110110)∀⇚≩≮⫘↔10101100001⪘⫢≮⫘↔101100011001)⊴(⫓⪴(≮⫘↔10001110011⨳⩥⨓≮⫘↔10010111010))=NaN","reverse_text":"NaN=(↯⪼(≮⫘↔1000010011010⇷≮⫘↔1000011010010)⪮%⊝(≮⫘↔11001110100∲⫓≮⫘↔1000011101101))⨟⋌⩍((↥≮⫘↔110100110110)∀⇚≩≮⫘↔10101100001⪘⫢≮⫘↔101100011001)⊴(⫓⪴(≮⫘↔10001110011⨳⩥⨓≮⫘↔10010111010))","cot":[{"info":"≮⫘↔1000010011010⇷≮⫘↔1000011010010=≮⫘↔10000110100100","layer":3},{"info":"≮⫘↔11001110100∲⫓≮⫘↔1000011101101=≮⫘↔0","layer":3},{"info":"≮⫘↔10000110100100⪮%⊝≮⫘↔0=NaN","layer":2},{"info":"↯⪼NaN=≮⫘↔-10101","layer":1},{"info":"↥≮⫘↔110100110110=≮⫘↔10000","layer":3},{"info":"≮⫘↔10101100001⪘⫢≮⫘↔101100011001=≮⫘↔101001000110","layer":3},{"info":"≮⫘↔10000∀⇚≩≮⫘↔101001000110=≮⫘↔1111101111101111101010000111","layer":2},{"info":"≮⫘↔10001110011⨳⩥⨓≮⫘↔10010111010=≮⫘↔1000111","layer":3},{"info":"⫓⪴≮⫘↔1000111=≮⫘↔1001110110001","layer":2},{"info":"≮⫘↔1111101111101111101010000111⊴≮⫘↔1001110110001=NaN","layer":1},{"info":"≮⫘↔-10101⨟⋌⩍NaN=NaN","layer":0}]}
{"id":788,"expression_no_base_symbol":"((≤/$1638$)⩷∴$5595$↬$1274$⫥∨⫟($1183$+⇶⊼$2923$↺(⨰⫟⨤$2713$)))⪛((+⊝⨔($1613$⇷$2890$))⩠)","expression":"((≤/≮⫘↔11001100110)⩷∴≮⫘↔1010111011011↬≮⫘↔10011111010⫥∨⫟(≮⫘↔10010011111+⇶⊼≮⫘↔101101101011↺(⨰⫟⨤≮⫘↔101010011001)))⪛((+⊝⨔(≮⫘↔11001001101⇷≮⫘↔101101001010))⩠)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":32827,"operation_count":11,"complexity_ratio":2984.2727272727275,"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":1638,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5595,"base":2},"right_expr":{"type":"numeric_atoms","value":1274,"base":2}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1183,"base":2},"right_expr":{"type":"numeric_atoms","value":2923,"base":2}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2713,"base":2}}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1613,"base":2},"right_expr":{"type":"numeric_atoms","value":2890,"base":2}}}}},"used_operators":["uFcxV4UQCh","KYD54nUTWz","9FxExcQeMw","eLAdDNolq6","B5M0gjZbta","7j4O788W3g","TpPTUOHfaN","Tw270M8GLb","sJAwomhLZr","DhbWaqg5eL","mp7IySMOzn"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1638","layer":4},{"info":"compute unary expreesion, input=1638, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1154","layer":3},{"info":"number node, value=5595","layer":4},{"info":"number node, value=1274","layer":4},{"info":"compute binary expreesion, left_input=5595, right_input=1274, 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=-1154, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=1183","layer":4},{"info":"number node, value=2923","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=2923, 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=2713","layer":4},{"info":"compute unary expreesion, input=2713, 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=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1613","layer":4},{"info":"number node, value=2890","layer":4},{"info":"compute binary expreesion, left_input=1613, right_input=2890, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5780","layer":3},{"info":"compute unary expreesion, input=5780, 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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≤/≮⫘↔11001100110)⩷∴≮⫘↔1010111011011↬≮⫘↔10011111010⫥∨⫟(≮⫘↔10010011111+⇶⊼≮⫘↔101101101011↺(⨰⫟⨤≮⫘↔101010011001)))⪛((+⊝⨔(≮⫘↔11001001101⇷≮⫘↔101101001010))⩠)=NaN","reverse_text":"NaN=((≤/≮⫘↔11001100110)⩷∴≮⫘↔1010111011011↬≮⫘↔10011111010⫥∨⫟(≮⫘↔10010011111+⇶⊼≮⫘↔101101101011↺(⨰⫟⨤≮⫘↔101010011001)))⪛((+⊝⨔(≮⫘↔11001001101⇷≮⫘↔101101001010))⩠)","cot":[{"info":"≤/≮⫘↔11001100110=≮⫘↔-10010000010","layer":3},{"info":"≮⫘↔1010111011011↬≮⫘↔10011111010=NaN","layer":3},{"info":"≮⫘↔-10010000010⩷∴NaN=NaN","layer":2},{"info":"≮⫘↔10010011111+⇶⊼≮⫘↔101101101011=NaN","layer":3},{"info":"⨰⫟⨤≮⫘↔101010011001=NaN","layer":3},{"info":"NaN↺NaN=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"≮⫘↔11001001101⇷≮⫘↔101101001010=≮⫘↔1011010010100","layer":3},{"info":"+⊝⨔≮⫘↔1011010010100=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔10111110010⩠=≮⫘↔0","layer":1},{"info":"NaN⪛≮⫘↔0=NaN","layer":0}]}
{"id":789,"expression_no_base_symbol":"((⊙↵-($1206$↺$3120$))≣⋋)/($1539$≭$1010$-(⊄⩳↩$2536$))∀⇚≩($5011$-$1924$)∀⇚≩($2129$⫥∨⫟$1727$)","expression":"((⊙↵-(≮⫘↔10010110110↺≮⫘↔110000110000))≣⋋)/(≮⫘↔11000000011≭≮⫘↔1111110010-(⊄⩳↩≮⫘↔100111101000))∀⇚≩(≮⫘↔1001110010011-≮⫘↔11110000100)∀⇚≩(≮⫘↔100001010001⫥∨⫟≮⫘↔11010111111)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":25093,"operation_count":11,"complexity_ratio":2281.181818181818,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1206,"base":2},"right_expr":{"type":"numeric_atoms","value":3120,"base":2}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1539,"base":2},"right_expr":{"type":"numeric_atoms","value":1010,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2536,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5011,"base":2},"right_expr":{"type":"numeric_atoms","value":1924,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2129,"base":2},"right_expr":{"type":"numeric_atoms","value":1727,"base":2}}}}},"used_operators":["XhwjNDsVaA","Tcnh7f0tEr","oWn0xqSxBt","7j4O788W3g","LRNGc0VcxI","rysDP5nf3Z","rxpJgHHUmx","8w2t5hMYqp","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1206","layer":4},{"info":"number node, value=3120","layer":4},{"info":"compute binary expreesion, left_input=1206, right_input=3120, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3120","layer":3},{"info":"compute unary expreesion, input=3120, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=34","layer":1},{"info":"number node, value=1539","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=1539, right_input=1010, 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=2536","layer":4},{"info":"compute unary expreesion, input=2536, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7608","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7608, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=5011","layer":4},{"info":"number node, value=1924","layer":4},{"info":"compute binary expreesion, left_input=5011, right_input=1924, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3087","layer":3},{"info":"number node, value=2129","layer":4},{"info":"number node, value=1727","layer":4},{"info":"compute binary expreesion, left_input=2129, right_input=1727, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3087, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=34, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⊙↵-(≮⫘↔10010110110↺≮⫘↔110000110000))≣⋋)/(≮⫘↔11000000011≭≮⫘↔1111110010-(⊄⩳↩≮⫘↔100111101000))∀⇚≩(≮⫘↔1001110010011-≮⫘↔11110000100)∀⇚≩(≮⫘↔100001010001⫥∨⫟≮⫘↔11010111111)=NaN","reverse_text":"NaN=((⊙↵-(≮⫘↔10010110110↺≮⫘↔110000110000))≣⋋)/(≮⫘↔11000000011≭≮⫘↔1111110010-(⊄⩳↩≮⫘↔100111101000))∀⇚≩(≮⫘↔1001110010011-≮⫘↔11110000100)∀⇚≩(≮⫘↔100001010001⫥∨⫟≮⫘↔11010111111)","cot":[{"info":"≮⫘↔10010110110↺≮⫘↔110000110000=≮⫘↔110000110000","layer":3},{"info":"⊙↵-≮⫘↔110000110000=≮⫘↔-1","layer":2},{"info":"≮⫘↔-1≣⋋=≮⫘↔100010","layer":1},{"info":"≮⫘↔11000000011≭≮⫘↔1111110010=NaN","layer":3},{"info":"⊄⩳↩≮⫘↔100111101000=≮⫘↔-1110110111000","layer":3},{"info":"NaN-≮⫘↔-1110110111000=NaN","layer":2},{"info":"≮⫘↔1001110010011-≮⫘↔11110000100=≮⫘↔110000001111","layer":3},{"info":"≮⫘↔100001010001⫥∨⫟≮⫘↔11010111111=NaN","layer":3},{"info":"≮⫘↔110000001111∀⇚≩NaN=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"≮⫘↔100010/NaN=NaN","layer":0}]}
{"id":790,"expression_no_base_symbol":"↔(((↯⪼$1432$)+$1134$⪒$7039$)⨎(∂($2492$+⇶⊼$6992$)))","expression":"↔(((↯⪼≮⫘↔10110011000)+≮⫘↔10001101110⪒≮⫘↔1101101111111)⨎(∂(≮⫘↔100110111100+⇶⊼≮⫘↔1101101010000)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":60,"operation_count":7,"complexity_ratio":8.571428571428571,"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":1432,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1134,"base":2},"right_expr":{"type":"numeric_atoms","value":7039,"base":2}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2492,"base":2},"right_expr":{"type":"numeric_atoms","value":6992,"base":2}}}}},"used_operators":["ruOEQAzv1W","rJVOvQCfKK","W4YGzv6Whe","8jW3W4yZS5","f6k1SAg4EE","Uaa54Peajs","TpPTUOHfaN"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr"],"result":"≮⫘↔-10000110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1432","layer":4},{"info":"compute unary expreesion, input=1432, 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=1134","layer":4},{"info":"number node, value=7039","layer":4},{"info":"compute binary expreesion, left_input=1134, right_input=7039, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8173","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-8173, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-8194","layer":2},{"info":"number node, value=2492","layer":4},{"info":"number node, value=6992","layer":4},{"info":"compute binary expreesion, left_input=2492, right_input=6992, 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 = 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=-8194, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":2,"result_base":2,"text":"↔(((↯⪼≮⫘↔10110011000)+≮⫘↔10001101110⪒≮⫘↔1101101111111)⨎(∂(≮⫘↔100110111100+⇶⊼≮⫘↔1101101010000)))=≮⫘↔-10000110","reverse_text":"≮⫘↔-10000110=↔(((↯⪼≮⫘↔10110011000)+≮⫘↔10001101110⪒≮⫘↔1101101111111)⨎(∂(≮⫘↔100110111100+⇶⊼≮⫘↔1101101010000)))","cot":[{"info":"↯⪼≮⫘↔10110011000=≮⫘↔-10101","layer":3},{"info":"≮⫘↔10001101110⪒≮⫘↔1101101111111=≮⫘↔-1111111101101","layer":3},{"info":"≮⫘↔-10101+≮⫘↔-1111111101101=≮⫘↔-10000000000010","layer":2},{"info":"≮⫘↔100110111100+⇶⊼≮⫘↔1101101010000=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"≮⫘↔-10000000000010⨎NaN=NaN","layer":1},{"info":"↔NaN=≮⫘↔-10000110","layer":0}]}
{"id":791,"expression_no_base_symbol":"≉(⊥$1132$)≎⊠⪸($2457$+⇶⊼$1347$)⨽($1581$⊭↱$5430$)≧⫂∧($1399$⨸⪁$1998$)","expression":"≉(⊥≮⫘↔10001101100)≎⊠⪸(≮⫘↔100110011001+⇶⊼≮⫘↔10101000011)⨽(≮⫘↔11000101101⊭↱≮⫘↔1010100110110)≧⫂∧(≮⫘↔10101110111⨸⪁≮⫘↔11111001110)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":100,"operation_count":8,"complexity_ratio":12.5,"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":1132,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2457,"base":2},"right_expr":{"type":"numeric_atoms","value":1347,"base":2}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1581,"base":2},"right_expr":{"type":"numeric_atoms","value":5430,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1399,"base":2},"right_expr":{"type":"numeric_atoms","value":1998,"base":2}}}}},"used_operators":["e1ybzncUwg","8HhzD0ZcuI","bJkvcejdHO","Q3PJZHRvZv","TpPTUOHfaN","Ph9nP6C5qx","COABgblf1C","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","fu6greOZ01","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"≮⫘↔-111100110001100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1132","layer":4},{"info":"compute unary expreesion, input=1132, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2457","layer":4},{"info":"number node, value=1347","layer":4},{"info":"compute binary expreesion, left_input=2457, right_input=1347, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=1581","layer":4},{"info":"number node, value=5430","layer":4},{"info":"compute binary expreesion, left_input=1581, right_input=5430, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7703","layer":3},{"info":"number node, value=1399","layer":4},{"info":"number node, value=1998","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=1998, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6794","layer":3},{"info":"compute binary expreesion, left_input=7703, right_input=6794, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6321","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=6321, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-31116","layer":1},{"info":"compute unary expreesion, input=-31116, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-31116","layer":0}],"base":2,"result_base":2,"text":"≉(⊥≮⫘↔10001101100)≎⊠⪸(≮⫘↔100110011001+⇶⊼≮⫘↔10101000011)⨽(≮⫘↔11000101101⊭↱≮⫘↔1010100110110)≧⫂∧(≮⫘↔10101110111⨸⪁≮⫘↔11111001110)=≮⫘↔-111100110001100","reverse_text":"≮⫘↔-111100110001100=≉(⊥≮⫘↔10001101100)≎⊠⪸(≮⫘↔100110011001+⇶⊼≮⫘↔10101000011)⨽(≮⫘↔11000101101⊭↱≮⫘↔1010100110110)≧⫂∧(≮⫘↔10101110111⨸⪁≮⫘↔11111001110)","cot":[{"info":"⊥≮⫘↔10001101100=NaN","layer":3},{"info":"≮⫘↔100110011001+⇶⊼≮⫘↔10101000011=NaN","layer":3},{"info":"NaN≎⊠⪸NaN=≮⫘↔1000011","layer":2},{"info":"≮⫘↔11000101101⊭↱≮⫘↔1010100110110=≮⫘↔1111000010111","layer":3},{"info":"≮⫘↔10101110111⨸⪁≮⫘↔11111001110=≮⫘↔1101010001010","layer":3},{"info":"≮⫘↔1111000010111≧⫂∧≮⫘↔1101010001010=≮⫘↔1100010110001","layer":2},{"info":"≮⫘↔1000011⨽≮⫘↔1100010110001=≮⫘↔-111100110001100","layer":1},{"info":"≉≮⫘↔-111100110001100=≮⫘↔-111100110001100","layer":0}]}
{"id":792,"expression_no_base_symbol":"(($1202$+$2647$)∀⇚≩($1372$⫩⊇)⨓(($1057$≦≮≮)⨸⪁$3733$≭$1857$))⪘⫢(⩦⩻⨪$1074$∑⇟⊟$8035$⫥∨⫟($7556$⫸⊐$3355$))","expression":"((≮⫘↔10010110010+≮⫘↔101001010111)∀⇚≩(≮⫘↔10101011100⫩⊇)⨓((≮⫘↔10000100001≦≮≮)⨸⪁≮⫘↔111010010101≭≮⫘↔11101000001))⪘⫢(⩦⩻⨪≮⫘↔10000110010∑⇟⊟≮⫘↔1111101100011⫥∨⫟(≮⫘↔1110110000100⫸⊐≮⫘↔110100011011))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":27151,"operation_count":12,"complexity_ratio":2262.5833333333335,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1202,"base":2},"right_expr":{"type":"numeric_atoms","value":2647,"base":2}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1372,"base":2}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1057,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3733,"base":2},"right_expr":{"type":"numeric_atoms","value":1857,"base":2}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1074,"base":2},"right_expr":{"type":"numeric_atoms","value":8035,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7556,"base":2},"right_expr":{"type":"numeric_atoms","value":3355,"base":2}}}}},"used_operators":["oacrs7FA3X","3ViojmjbAp","LRNGc0VcxI","W4YGzv6Whe","BjRHVeLaeN","g55IO6H4Gj","D4vGDi5EA2","rxpJgHHUmx","2td37pGCOC","KYD54nUTWz","U7g4x0WXJJ","mqXw5SEYmG"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1202","layer":4},{"info":"number node, value=2647","layer":4},{"info":"compute binary expreesion, left_input=1202, right_input=2647, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3849","layer":3},{"info":"number node, value=1372","layer":4},{"info":"compute unary expreesion, input=1372, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1330","layer":3},{"info":"compute binary expreesion, left_input=3849, right_input=-1330, 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=1057","layer":4},{"info":"compute unary expreesion, input=1057, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3171","layer":3},{"info":"number node, value=3733","layer":4},{"info":"number node, value=1857","layer":4},{"info":"compute binary expreesion, left_input=3733, right_input=1857, 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=-3171, 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=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=1074","layer":4},{"info":"number node, value=8035","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=8035, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=7556","layer":4},{"info":"number node, value=3355","layer":4},{"info":"compute binary expreesion, left_input=7556, right_input=3355, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13295","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13295, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10010110010+≮⫘↔101001010111)∀⇚≩(≮⫘↔10101011100⫩⊇)⨓((≮⫘↔10000100001≦≮≮)⨸⪁≮⫘↔111010010101≭≮⫘↔11101000001))⪘⫢(⩦⩻⨪≮⫘↔10000110010∑⇟⊟≮⫘↔1111101100011⫥∨⫟(≮⫘↔1110110000100⫸⊐≮⫘↔110100011011))=NaN","reverse_text":"NaN=((≮⫘↔10010110010+≮⫘↔101001010111)∀⇚≩(≮⫘↔10101011100⫩⊇)⨓((≮⫘↔10000100001≦≮≮)⨸⪁≮⫘↔111010010101≭≮⫘↔11101000001))⪘⫢(⩦⩻⨪≮⫘↔10000110010∑⇟⊟≮⫘↔1111101100011⫥∨⫟(≮⫘↔1110110000100⫸⊐≮⫘↔110100011011))","cot":[{"info":"≮⫘↔10010110010+≮⫘↔101001010111=≮⫘↔111100001001","layer":3},{"info":"≮⫘↔10101011100⫩⊇=≮⫘↔-10100110010","layer":3},{"info":"≮⫘↔111100001001∀⇚≩≮⫘↔-10100110010=NaN","layer":2},{"info":"≮⫘↔10000100001≦≮≮=≮⫘↔-110001100011","layer":3},{"info":"≮⫘↔111010010101≭≮⫘↔11101000001=NaN","layer":3},{"info":"≮⫘↔-110001100011⨸⪁NaN=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"≮⫘↔10000110010∑⇟⊟≮⫘↔1111101100011=NaN","layer":3},{"info":"≮⫘↔1110110000100⫸⊐≮⫘↔110100011011=≮⫘↔11001111101111","layer":3},{"info":"NaN⫥∨⫟≮⫘↔11001111101111=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":793,"expression_no_base_symbol":"(((∂$2240$)⊭↱$1342$⫸⊐$3935$)⋳⪒(-$3519$)⨰(↽≂$3543$))≫≃","expression":"(((∂≮⫘↔100011000000)⊭↱≮⫘↔10100111110⫸⊐≮⫘↔111101011111)⋳⪒(-≮⫘↔110110111111)⨰(↽≂≮⫘↔110111010111))≫≃","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":55,"operation_count":8,"complexity_ratio":6.875,"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":2240,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1342,"base":2},"right_expr":{"type":"numeric_atoms","value":3935,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3519,"base":2}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3543,"base":2}}}}},"used_operators":["X99M06cbEe","12rbrZMWeM","COABgblf1C","Uaa54Peajs","mqXw5SEYmG","eewbuw0ToL","t8gj7n24qd","u6S6b8DprG"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2240","layer":4},{"info":"compute unary expreesion, input=2240, 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=1342","layer":4},{"info":"number node, value=3935","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=3935, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15615","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15615, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=3519","layer":4},{"info":"compute unary expreesion, input=3519, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3519","layer":3},{"info":"number node, value=3543","layer":4},{"info":"compute unary expreesion, input=3543, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7086","layer":3},{"info":"compute binary expreesion, left_input=-3519, right_input=-7086, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3577","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3577, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((∂≮⫘↔100011000000)⊭↱≮⫘↔10100111110⫸⊐≮⫘↔111101011111)⋳⪒(-≮⫘↔110110111111)⨰(↽≂≮⫘↔110111010111))≫≃=NaN","reverse_text":"NaN=(((∂≮⫘↔100011000000)⊭↱≮⫘↔10100111110⫸⊐≮⫘↔111101011111)⋳⪒(-≮⫘↔110110111111)⨰(↽≂≮⫘↔110111010111))≫≃","cot":[{"info":"∂≮⫘↔100011000000=NaN","layer":3},{"info":"≮⫘↔10100111110⫸⊐≮⫘↔111101011111=≮⫘↔11110011111111","layer":3},{"info":"NaN⊭↱≮⫘↔11110011111111=NaN","layer":2},{"info":"-≮⫘↔110110111111=≮⫘↔-110110111111","layer":3},{"info":"↽≂≮⫘↔110111010111=≮⫘↔-1101110101110","layer":3},{"info":"≮⫘↔-110110111111⨰≮⫘↔-1101110101110=≮⫘↔110111111001","layer":2},{"info":"NaN⋳⪒≮⫘↔110111111001=NaN","layer":1},{"info":"NaN≫≃=NaN","layer":0}]}
{"id":794,"expression_no_base_symbol":"(((↣≠⋷$1488$)⪐)⨵⪆(↩($3868$⩨$1137$)))⫩⊇","expression":"(((↣≠⋷≮⫘↔10111010000)⪐)⨵⪆(↩(≮⫘↔111100011100⩨≮⫘↔10001110001)))⫩⊇","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":31,"operation_count":6,"complexity_ratio":5.166666666666667,"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":1488,"base":2}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3868,"base":2},"right_expr":{"type":"numeric_atoms","value":1137,"base":2}}}}},"used_operators":["BjRHVeLaeN","2DQ55sFlQl","eH2TOUuTDT","Asc51vEJeQ","jLgFTUHLKL","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"≮⫘↔-1110110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1488","layer":4},{"info":"compute unary expreesion, input=1488, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":2},{"info":"number node, value=3868","layer":4},{"info":"number node, value=1137","layer":4},{"info":"compute binary expreesion, left_input=3868, right_input=1137, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4844, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-118","layer":0}],"base":2,"result_base":2,"text":"(((↣≠⋷≮⫘↔10111010000)⪐)⨵⪆(↩(≮⫘↔111100011100⩨≮⫘↔10001110001)))⫩⊇=≮⫘↔-1110110","reverse_text":"≮⫘↔-1110110=(((↣≠⋷≮⫘↔10111010000)⪐)⨵⪆(↩(≮⫘↔111100011100⩨≮⫘↔10001110001)))⫩⊇","cot":[{"info":"↣≠⋷≮⫘↔10111010000=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"≮⫘↔111100011100⩨≮⫘↔10001110001=≮⫘↔0","layer":3},{"info":"↩≮⫘↔0=≮⫘↔1001011101100","layer":2},{"info":"NaN⨵⪆≮⫘↔1001011101100=≮⫘↔10100000","layer":1},{"info":"≮⫘↔10100000⫩⊇=≮⫘↔-1110110","layer":0}]}
{"id":795,"expression_no_base_symbol":"(($1036$⊠≄⫣)⫡⨏$5960$-$1172$)⪛($1364$⫸⊐$5383$⫡⨏($6145$⊭∹↮))↬(⊙↵-(∥⊫$3570$↺$5806$))","expression":"((≮⫘↔10000001100⊠≄⫣)⫡⨏≮⫘↔1011101001000-≮⫘↔10010010100)⪛(≮⫘↔10101010100⫸⊐≮⫘↔1010100000111⫡⨏(≮⫘↔1100000000001⊭∹↮))↬(⊙↵-(∥⊫≮⫘↔110111110010↺≮⫘↔1011010101110))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6779,"operation_count":11,"complexity_ratio":616.2727272727273,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1036,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5960,"base":2},"right_expr":{"type":"numeric_atoms","value":1172,"base":2}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1364,"base":2},"right_expr":{"type":"numeric_atoms","value":5383,"base":2}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":6145,"base":2}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3570,"base":2},"right_expr":{"type":"numeric_atoms","value":5806,"base":2}}}}},"used_operators":["B5M0gjZbta","uFcxV4UQCh","QMFrweE19q","DIvbN7qnHd","rysDP5nf3Z","mqXw5SEYmG","xNBdhnnwKq","oWn0xqSxBt","P8v4zCKN1o","7j4O788W3g"],"dependent_operators":["rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1036","layer":4},{"info":"compute unary expreesion, input=1036, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=5960","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=5960, right_input=1172, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4788","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4788, 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=10359","layer":2},{"info":"number node, value=1364","layer":4},{"info":"number node, value=5383","layer":4},{"info":"compute binary expreesion, left_input=1364, right_input=5383, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=21407","layer":3},{"info":"number node, value=6145","layer":4},{"info":"compute unary expreesion, input=6145, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=12290","layer":3},{"info":"compute binary expreesion, left_input=21407, right_input=12290, 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=132398","layer":2},{"info":"compute binary expreesion, left_input=10359, right_input=132398, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=10359","layer":1},{"info":"number node, value=3570","layer":4},{"info":"number node, value=5806","layer":4},{"info":"compute binary expreesion, left_input=3570, right_input=5806, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5806","layer":3},{"info":"compute unary expreesion, input=5806, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6674","layer":2},{"info":"compute unary expreesion, input=6674, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=10359, right_input=-1, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10000001100⊠≄⫣)⫡⨏≮⫘↔1011101001000-≮⫘↔10010010100)⪛(≮⫘↔10101010100⫸⊐≮⫘↔1010100000111⫡⨏(≮⫘↔1100000000001⊭∹↮))↬(⊙↵-(∥⊫≮⫘↔110111110010↺≮⫘↔1011010101110))=NaN","reverse_text":"NaN=((≮⫘↔10000001100⊠≄⫣)⫡⨏≮⫘↔1011101001000-≮⫘↔10010010100)⪛(≮⫘↔10101010100⫸⊐≮⫘↔1010100000111⫡⨏(≮⫘↔1100000000001⊭∹↮))↬(⊙↵-(∥⊫≮⫘↔110111110010↺≮⫘↔1011010101110))","cot":[{"info":"≮⫘↔10000001100⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔1011101001000-≮⫘↔10010010100=≮⫘↔1001010110100","layer":3},{"info":"≮⫘↔0⫡⨏≮⫘↔1001010110100=≮⫘↔10100001110111","layer":2},{"info":"≮⫘↔10101010100⫸⊐≮⫘↔1010100000111=≮⫘↔101001110011111","layer":3},{"info":"≮⫘↔1100000000001⊭∹↮=≮⫘↔11000000000010","layer":3},{"info":"≮⫘↔101001110011111⫡⨏≮⫘↔11000000000010=≮⫘↔100000010100101110","layer":2},{"info":"≮⫘↔10100001110111⪛≮⫘↔100000010100101110=≮⫘↔10100001110111","layer":1},{"info":"≮⫘↔110111110010↺≮⫘↔1011010101110=≮⫘↔1011010101110","layer":3},{"info":"∥⊫≮⫘↔1011010101110=≮⫘↔1101000010010","layer":2},{"info":"⊙↵-≮⫘↔1101000010010=≮⫘↔-1","layer":1},{"info":"≮⫘↔10100001110111↬≮⫘↔-1=NaN","layer":0}]}
{"id":796,"expression_no_base_symbol":"((⨵≀≌(-$1383$))⨸⪁($1241$⫥∨⫟$1218$+($1990$⪨≂$2404$)))↙(⇁⨣⪵($3821$≫≃)≧⫂∧($3292$⨐⩸⫘$3084$))","expression":"((⨵≀≌(-≮⫘↔10101100111))⨸⪁(≮⫘↔10011011001⫥∨⫟≮⫘↔10011000010+(≮⫘↔11111000110⪨≂≮⫘↔100101100100)))↙(⇁⨣⪵(≮⫘↔111011101101≫≃)≧⫂∧(≮⫘↔110011011100⨐⩸⫘≮⫘↔110000001100))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1563,"operation_count":11,"complexity_ratio":142.0909090909091,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1383,"base":2}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1241,"base":2},"right_expr":{"type":"numeric_atoms","value":1218,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1990,"base":2},"right_expr":{"type":"numeric_atoms","value":2404,"base":2}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3821,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3292,"base":2},"right_expr":{"type":"numeric_atoms","value":3084,"base":2}}}}},"used_operators":["yyfyN0ffXY","g55IO6H4Gj","srAu1WTS94","t8gj7n24qd","W4YGzv6Whe","KYD54nUTWz","sdazOOVcIp","inkyxCbjAn","Ph9nP6C5qx","X99M06cbEe","fu6greOZ01"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1383","layer":4},{"info":"compute unary expreesion, input=1383, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1383","layer":3},{"info":"compute unary expreesion, input=-1383, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=1912689","layer":2},{"info":"number node, value=1241","layer":4},{"info":"number node, value=1218","layer":4},{"info":"compute binary expreesion, left_input=1241, right_input=1218, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1990","layer":4},{"info":"number node, value=2404","layer":4},{"info":"compute binary expreesion, left_input=1990, right_input=2404, 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=-726","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-726, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1912689, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=3821","layer":4},{"info":"compute unary expreesion, input=3821, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=9043","layer":3},{"info":"number node, value=3292","layer":4},{"info":"number node, value=3084","layer":4},{"info":"compute binary expreesion, left_input=3292, right_input=3084, 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=9043, 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 unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨵≀≌(-≮⫘↔10101100111))⨸⪁(≮⫘↔10011011001⫥∨⫟≮⫘↔10011000010+(≮⫘↔11111000110⪨≂≮⫘↔100101100100)))↙(⇁⨣⪵(≮⫘↔111011101101≫≃)≧⫂∧(≮⫘↔110011011100⨐⩸⫘≮⫘↔110000001100))=NaN","reverse_text":"NaN=((⨵≀≌(-≮⫘↔10101100111))⨸⪁(≮⫘↔10011011001⫥∨⫟≮⫘↔10011000010+(≮⫘↔11111000110⪨≂≮⫘↔100101100100)))↙(⇁⨣⪵(≮⫘↔111011101101≫≃)≧⫂∧(≮⫘↔110011011100⨐⩸⫘≮⫘↔110000001100))","cot":[{"info":"-≮⫘↔10101100111=≮⫘↔-10101100111","layer":3},{"info":"⨵≀≌≮⫘↔-10101100111=≮⫘↔111010010111101110001","layer":2},{"info":"≮⫘↔10011011001⫥∨⫟≮⫘↔10011000010=NaN","layer":3},{"info":"≮⫘↔11111000110⪨≂≮⫘↔100101100100=≮⫘↔-1011010110","layer":3},{"info":"NaN+≮⫘↔-1011010110=NaN","layer":2},{"info":"≮⫘↔111010010111101110001⨸⪁NaN=NaN","layer":1},{"info":"≮⫘↔111011101101≫≃=≮⫘↔10001101010011","layer":3},{"info":"≮⫘↔110011011100⨐⩸⫘≮⫘↔110000001100=NaN","layer":3},{"info":"≮⫘↔10001101010011≧⫂∧NaN=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":797,"expression_no_base_symbol":"(((⨞⊢$1013$)+$3517$≎⊠⪸$4914$)∧)⨁⊸⫻","expression":"(((⨞⊢≮⫘↔1111110101)+≮⫘↔110110111101≎⊠⪸≮⫘↔1001100110010)∧)⨁⊸⫻","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":280,"operation_count":5,"complexity_ratio":56.0,"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":1013,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3517,"base":2},"right_expr":{"type":"numeric_atoms","value":4914,"base":2}}}}},"used_operators":["glklzrTFfD","z63VuFQld9","W4YGzv6Whe","xUOZtlo3hN","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1013","layer":4},{"info":"compute unary expreesion, input=1013, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1187","layer":3},{"info":"number node, value=3517","layer":4},{"info":"number node, value=4914","layer":4},{"info":"compute binary expreesion, left_input=3517, right_input=4914, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=910430","layer":3},{"info":"compute binary expreesion, left_input=-1187, right_input=910430, op_id = W4YGzv6Whe binary_op_definition= 'None', output=909243","layer":2},{"info":"compute unary expreesion, input=909243, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((⨞⊢≮⫘↔1111110101)+≮⫘↔110110111101≎⊠⪸≮⫘↔1001100110010)∧)⨁⊸⫻=NaN","reverse_text":"NaN=(((⨞⊢≮⫘↔1111110101)+≮⫘↔110110111101≎⊠⪸≮⫘↔1001100110010)∧)⨁⊸⫻","cot":[{"info":"⨞⊢≮⫘↔1111110101=≮⫘↔-10010100011","layer":3},{"info":"≮⫘↔110110111101≎⊠⪸≮⫘↔1001100110010=≮⫘↔11011110010001011110","layer":3},{"info":"≮⫘↔-10010100011+≮⫘↔11011110010001011110=≮⫘↔11011101111110111011","layer":2},{"info":"≮⫘↔11011101111110111011∧=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":798,"expression_no_base_symbol":"((+⊝⨔$1550$)⨓$2954$⨟⋌⩍$2799$↪⪝)⨽((⪝⪂⫅($4267$*$1907$))∲⫓(⫓⪴($1765$⩨$2967$)))","expression":"((+⊝⨔≮⫘↔11000001110)⨓≮⫘↔101110001010⨟⋌⩍≮⫘↔101011101111↪⪝)⨽((⪝⪂⫅(≮⫘↔1000010101011*≮⫘↔11101110011))∲⫓(⫓⪴(≮⫘↔11011100101⩨≮⫘↔101110010111)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2128,"operation_count":10,"complexity_ratio":212.8,"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":1550,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2954,"base":2},"right_expr":{"type":"numeric_atoms","value":2799,"base":2}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4267,"base":2},"right_expr":{"type":"numeric_atoms","value":1907,"base":2}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1765,"base":2},"right_expr":{"type":"numeric_atoms","value":2967,"base":2}}}}},"used_operators":["8HhzD0ZcuI","l07mrZUIn9","3ViojmjbAp","DhbWaqg5eL","rGHVDoGpnC","i8ToyICDmI","XTarYq4gQB","9HNa5Wba9A","eLxqMNBOBk","2DlMacCsIx"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","2DDjHMKMc0","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1550","layer":4},{"info":"compute unary expreesion, input=1550, 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=2954","layer":4},{"info":"number node, value=2799","layer":4},{"info":"compute binary expreesion, left_input=2954, right_input=2799, 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=1522, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":1},{"info":"number node, value=4267","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=4267, right_input=1907, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8137169","layer":3},{"info":"compute unary expreesion, input=8137169, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1196163843","layer":2},{"info":"number node, value=1765","layer":4},{"info":"number node, value=2967","layer":4},{"info":"compute binary expreesion, left_input=1765, right_input=2967, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=9","layer":2},{"info":"compute binary expreesion, left_input=-1196163843, right_input=9, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-1196163843","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1196163843, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((+⊝⨔≮⫘↔11000001110)⨓≮⫘↔101110001010⨟⋌⩍≮⫘↔101011101111↪⪝)⨽((⪝⪂⫅(≮⫘↔1000010101011*≮⫘↔11101110011))∲⫓(⫓⪴(≮⫘↔11011100101⩨≮⫘↔101110010111)))=NaN","reverse_text":"NaN=((+⊝⨔≮⫘↔11000001110)⨓≮⫘↔101110001010⨟⋌⩍≮⫘↔101011101111↪⪝)⨽((⪝⪂⫅(≮⫘↔1000010101011*≮⫘↔11101110011))∲⫓(⫓⪴(≮⫘↔11011100101⩨≮⫘↔101110010111)))","cot":[{"info":"+⊝⨔≮⫘↔11000001110=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔101110001010⨟⋌⩍≮⫘↔101011101111=NaN","layer":3},{"info":"≮⫘↔10111110010⨓NaN=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"≮⫘↔1000010101011*≮⫘↔11101110011=≮⫘↔11111000010100111010001","layer":3},{"info":"⪝⪂⫅≮⫘↔11111000010100111010001=≮⫘↔-1000111010011000000001100000011","layer":2},{"info":"≮⫘↔11011100101⩨≮⫘↔101110010111=≮⫘↔-11","layer":3},{"info":"⫓⪴≮⫘↔-11=≮⫘↔1001","layer":2},{"info":"≮⫘↔-1000111010011000000001100000011∲⫓≮⫘↔1001=≮⫘↔-1000111010011000000001100000011","layer":1},{"info":"NaN⨽≮⫘↔-1000111010011000000001100000011=NaN","layer":0}]}
{"id":799,"expression_no_base_symbol":"⨞⊢($1217$⪘⫢$2687$↙$2613$⪘⫢$7659$⨵⪆(⫛⫱⨽($6922$⪄$4829$)))","expression":"⨞⊢(≮⫘↔10011000001⪘⫢≮⫘↔101001111111↙≮⫘↔101000110101⪘⫢≮⫘↔1110111101011⨵⪆(⫛⫱⨽(≮⫘↔1101100001010⪄≮⫘↔1001011011101)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6655,"operation_count":7,"complexity_ratio":950.7142857142857,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1217,"base":2},"right_expr":{"type":"numeric_atoms","value":2687,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2613,"base":2},"right_expr":{"type":"numeric_atoms","value":7659,"base":2}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6922,"base":2},"right_expr":{"type":"numeric_atoms","value":4829,"base":2}}}}},"used_operators":["xUOZtlo3hN","2DQ55sFlQl","yyfyN0ffXY","oacrs7FA3X","DlLNRPXxWL","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"≮⫘↔-101001110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1217","layer":4},{"info":"number node, value=2687","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=2687, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2310","layer":3},{"info":"number node, value=2613","layer":4},{"info":"number node, value=7659","layer":4},{"info":"compute binary expreesion, left_input=2613, right_input=7659, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5102","layer":3},{"info":"compute binary expreesion, left_input=2310, right_input=5102, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15306","layer":2},{"info":"number node, value=6922","layer":4},{"info":"number node, value=4829","layer":4},{"info":"compute binary expreesion, left_input=6922, right_input=4829, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1039861","layer":3},{"info":"compute unary expreesion, input=-1039861, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-15306, right_input=0, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-334","layer":0}],"base":2,"result_base":2,"text":"⨞⊢(≮⫘↔10011000001⪘⫢≮⫘↔101001111111↙≮⫘↔101000110101⪘⫢≮⫘↔1110111101011⨵⪆(⫛⫱⨽(≮⫘↔1101100001010⪄≮⫘↔1001011011101)))=≮⫘↔-101001110","reverse_text":"≮⫘↔-101001110=⨞⊢(≮⫘↔10011000001⪘⫢≮⫘↔101001111111↙≮⫘↔101000110101⪘⫢≮⫘↔1110111101011⨵⪆(⫛⫱⨽(≮⫘↔1101100001010⪄≮⫘↔1001011011101)))","cot":[{"info":"≮⫘↔10011000001⪘⫢≮⫘↔101001111111=≮⫘↔100100000110","layer":3},{"info":"≮⫘↔101000110101⪘⫢≮⫘↔1110111101011=≮⫘↔1001111101110","layer":3},{"info":"≮⫘↔100100000110↙≮⫘↔1001111101110=≮⫘↔-11101111001010","layer":2},{"info":"≮⫘↔1101100001010⪄≮⫘↔1001011011101=≮⫘↔-11111101110111110101","layer":3},{"info":"⫛⫱⨽≮⫘↔-11111101110111110101=≮⫘↔0","layer":2},{"info":"≮⫘↔-11101111001010⨵⪆≮⫘↔0=≮⫘↔10100000","layer":1},{"info":"⨞⊢≮⫘↔10100000=≮⫘↔-101001110","layer":0}]}
{"id":800,"expression_no_base_symbol":"(⊙↵-($2491$⨐⩸⫘$5224$)⨟⋌⩍(⪲⇎$1352$))⫸⊐(⨑⩽⪐$5169$)⋥≓≎($1189$-$2849$)⫸⊐((⩦⩻⨪$2740$)⇼⇔∾(⪲⇎$1309$))","expression":"(⊙↵-(≮⫘↔100110111011⨐⩸⫘≮⫘↔1010001101000)⨟⋌⩍(⪲⇎≮⫘↔10101001000))⫸⊐(⨑⩽⪐≮⫘↔1010000110001)⋥≓≎(≮⫘↔10010100101-≮⫘↔101100100001)⫸⊐((⩦⩻⨪≮⫘↔101010110100)⇼⇔∾(⪲⇎≮⫘↔10100011101))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":53,"operation_count":12,"complexity_ratio":4.416666666666667,"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":2491,"base":2},"right_expr":{"type":"numeric_atoms","value":5224,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1352,"base":2}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5169,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1189,"base":2},"right_expr":{"type":"numeric_atoms","value":2849,"base":2}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2740,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1309,"base":2}}}}},"used_operators":["mqXw5SEYmG","oWn0xqSxBt","rGHVDoGpnC","fu6greOZ01","XPYlsWDdGa","Qy55tPpLXF","AF7qkfDlqP","rysDP5nf3Z","tifHPKVTfV","2td37pGCOC"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Tcnh7f0tEr","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2491","layer":4},{"info":"number node, value=5224","layer":4},{"info":"compute binary expreesion, left_input=2491, right_input=5224, 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=1352","layer":4},{"info":"compute unary expreesion, input=1352, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2704","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2704, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":1},{"info":"number node, value=5169","layer":4},{"info":"compute unary expreesion, input=5169, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4896","layer":3},{"info":"number node, value=1189","layer":4},{"info":"number node, value=2849","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=2849, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1660","layer":3},{"info":"compute binary expreesion, left_input=-4896, right_input=-1660, 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=2740","layer":4},{"info":"compute unary expreesion, input=2740, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2740","layer":3},{"info":"number node, value=1309","layer":4},{"info":"compute unary expreesion, input=1309, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2618","layer":3},{"info":"compute binary expreesion, left_input=2740, right_input=2618, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-122","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-122, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=134, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊙↵-(≮⫘↔100110111011⨐⩸⫘≮⫘↔1010001101000)⨟⋌⩍(⪲⇎≮⫘↔10101001000))⫸⊐(⨑⩽⪐≮⫘↔1010000110001)⋥≓≎(≮⫘↔10010100101-≮⫘↔101100100001)⫸⊐((⩦⩻⨪≮⫘↔101010110100)⇼⇔∾(⪲⇎≮⫘↔10100011101))=NaN","reverse_text":"NaN=(⊙↵-(≮⫘↔100110111011⨐⩸⫘≮⫘↔1010001101000)⨟⋌⩍(⪲⇎≮⫘↔10101001000))⫸⊐(⨑⩽⪐≮⫘↔1010000110001)⋥≓≎(≮⫘↔10010100101-≮⫘↔101100100001)⫸⊐((⩦⩻⨪≮⫘↔101010110100)⇼⇔∾(⪲⇎≮⫘↔10100011101))","cot":[{"info":"≮⫘↔100110111011⨐⩸⫘≮⫘↔1010001101000=NaN","layer":3},{"info":"⪲⇎≮⫘↔10101001000=≮⫘↔101010010000","layer":3},{"info":"NaN⨟⋌⩍≮⫘↔101010010000=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"⨑⩽⪐≮⫘↔1010000110001=≮⫘↔-1001100100000","layer":3},{"info":"≮⫘↔10010100101-≮⫘↔101100100001=≮⫘↔-11001111100","layer":3},{"info":"≮⫘↔-1001100100000⋥≓≎≮⫘↔-11001111100=≮⫘↔1000011","layer":2},{"info":"⩦⩻⨪≮⫘↔101010110100=≮⫘↔101010110100","layer":3},{"info":"⪲⇎≮⫘↔10100011101=≮⫘↔101000111010","layer":3},{"info":"≮⫘↔101010110100⇼⇔∾≮⫘↔101000111010=≮⫘↔-1111010","layer":2},{"info":"≮⫘↔1000011⫸⊐≮⫘↔-1111010=≮⫘↔10000110","layer":1},{"info":"NaN⫸⊐≮⫘↔10000110=NaN","layer":0}]}
{"id":801,"expression_no_base_symbol":"(⨞⊢(⫛⫱⨽$7485$))⋥≓≎($2962$⊉≛↸$1534$⇼⇔∾$1807$∑⇟⊟$3463$)⇼⇔∾(+⊝⨔(⪝⪂⫅$3503$))≧⫂∧(⪝⪂⫅($1185$%$2544$))","expression":"(⨞⊢(⫛⫱⨽≮⫘↔1110100111101))⋥≓≎(≮⫘↔101110010010⊉≛↸≮⫘↔10111111110⇼⇔∾≮⫘↔11100001111∑⇟⊟≮⫘↔110110000111)⇼⇔∾(+⊝⨔(⪝⪂⫅≮⫘↔110110101111))≧⫂∧(⪝⪂⫅(≮⫘↔10010100001%≮⫘↔100111110000))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1758,"operation_count":12,"complexity_ratio":146.5,"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":7485,"base":2}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2962,"base":2},"right_expr":{"type":"numeric_atoms","value":1534,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1807,"base":2},"right_expr":{"type":"numeric_atoms","value":3463,"base":2}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3503,"base":2}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1185,"base":2},"right_expr":{"type":"numeric_atoms","value":2544,"base":2}}}}},"used_operators":["tifHPKVTfV","Qy55tPpLXF","xUOZtlo3hN","DlLNRPXxWL","DZ8iAZOCBD","U7g4x0WXJJ","Ph9nP6C5qx","DhbWaqg5eL","XTarYq4gQB","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7485","layer":4},{"info":"compute unary expreesion, input=7485, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":2},{"info":"number node, value=2962","layer":4},{"info":"number node, value=1534","layer":4},{"info":"compute binary expreesion, left_input=2962, right_input=1534, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5924","layer":3},{"info":"number node, value=1807","layer":4},{"info":"number node, value=3463","layer":4},{"info":"compute binary expreesion, left_input=1807, right_input=3463, 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=5924, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-174, 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=3503","layer":4},{"info":"compute unary expreesion, input=3503, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-514941","layer":3},{"info":"compute unary expreesion, input=-514941, 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=1185","layer":4},{"info":"number node, value=2544","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=2544, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1185","layer":3},{"info":"compute unary expreesion, input=1185, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-174195","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=-174195, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=175717","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=175717, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨞⊢(⫛⫱⨽≮⫘↔1110100111101))⋥≓≎(≮⫘↔101110010010⊉≛↸≮⫘↔10111111110⇼⇔∾≮⫘↔11100001111∑⇟⊟≮⫘↔110110000111)⇼⇔∾(+⊝⨔(⪝⪂⫅≮⫘↔110110101111))≧⫂∧(⪝⪂⫅(≮⫘↔10010100001%≮⫘↔100111110000))=NaN","reverse_text":"NaN=(⨞⊢(⫛⫱⨽≮⫘↔1110100111101))⋥≓≎(≮⫘↔101110010010⊉≛↸≮⫘↔10111111110⇼⇔∾≮⫘↔11100001111∑⇟⊟≮⫘↔110110000111)⇼⇔∾(+⊝⨔(⪝⪂⫅≮⫘↔110110101111))≧⫂∧(⪝⪂⫅(≮⫘↔10010100001%≮⫘↔100111110000))","cot":[{"info":"⫛⫱⨽≮⫘↔1110100111101=≮⫘↔0","layer":3},{"info":"⨞⊢≮⫘↔0=≮⫘↔-10101110","layer":2},{"info":"≮⫘↔101110010010⊉≛↸≮⫘↔10111111110=≮⫘↔1011100100100","layer":3},{"info":"≮⫘↔11100001111∑⇟⊟≮⫘↔110110000111=NaN","layer":3},{"info":"≮⫘↔1011100100100⇼⇔∾NaN=NaN","layer":2},{"info":"≮⫘↔-10101110⋥≓≎NaN=NaN","layer":1},{"info":"⪝⪂⫅≮⫘↔110110101111=≮⫘↔-1111101101101111101","layer":3},{"info":"+⊝⨔≮⫘↔-1111101101101111101=≮⫘↔10111110010","layer":2},{"info":"≮⫘↔10010100001%≮⫘↔100111110000=≮⫘↔10010100001","layer":3},{"info":"⪝⪂⫅≮⫘↔10010100001=≮⫘↔-101010100001110011","layer":2},{"info":"≮⫘↔10111110010≧⫂∧≮⫘↔-101010100001110011=≮⫘↔101010111001100101","layer":1},{"info":"NaN⇼⇔∾≮⫘↔101010111001100101=NaN","layer":0}]}
{"id":802,"expression_no_base_symbol":"(($1149$↙$2047$)⇷(⊄⩳↩$1444$)⇼⇔∾(⇁⨣⪵$3520$⨎$1182$))∀⇚≩($1020$⋝⋈⪟$3694$⊭↱$2386$⋓$1269$-($1291$≹⇙⪍$4285$⨵⪆(≉$1328$)))","expression":"((≮⫘↔10001111101↙≮⫘↔11111111111)⇷(⊄⩳↩≮⫘↔10110100100)⇼⇔∾(⇁⨣⪵≮⫘↔110111000000⨎≮⫘↔10010011110))∀⇚≩(≮⫘↔1111111100⋝⋈⪟≮⫘↔111001101110⊭↱≮⫘↔100101010010⋓≮⫘↔10011110101-(≮⫘↔10100001011≹⇙⪍≮⫘↔1000010111101⨵⪆(≉≮⫘↔10100110000)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":88067,"operation_count":14,"complexity_ratio":6290.5,"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":1149,"base":2},"right_expr":{"type":"numeric_atoms","value":2047,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1444,"base":2}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3520,"base":2},"right_expr":{"type":"numeric_atoms","value":1182,"base":2}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1020,"base":2},"right_expr":{"type":"numeric_atoms","value":3694,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2386,"base":2},"right_expr":{"type":"numeric_atoms","value":1269,"base":2}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1291,"base":2},"right_expr":{"type":"numeric_atoms","value":4285,"base":2}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1328,"base":2}}}}},"used_operators":["LRNGc0VcxI","tifHPKVTfV","mp7IySMOzn","yyfyN0ffXY","8w2t5hMYqp","inkyxCbjAn","rJVOvQCfKK","rysDP5nf3Z","COABgblf1C","2DDjHMKMc0","T2fj7uvVaJ","2DQ55sFlQl","AHs5Up7iyr","e1ybzncUwg"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1149","layer":4},{"info":"number node, value=2047","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=2047, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6141","layer":3},{"info":"number node, value=1444","layer":4},{"info":"compute unary expreesion, input=1444, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4332","layer":3},{"info":"compute binary expreesion, left_input=-6141, right_input=-4332, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=3520","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=3520, right_input=1182, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1182","layer":3},{"info":"compute unary expreesion, input=1182, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1020","layer":4},{"info":"number node, value=3694","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=3694, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1020","layer":3},{"info":"number node, value=2386","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=2386, right_input=1269, 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=1020, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2035","layer":2},{"info":"number node, value=1291","layer":4},{"info":"number node, value=4285","layer":4},{"info":"compute binary expreesion, left_input=1291, right_input=4285, 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=1328","layer":4},{"info":"compute unary expreesion, input=1328, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1859","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1859, 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=-2035, right_input=160, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2195","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2195, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10001111101↙≮⫘↔11111111111)⇷(⊄⩳↩≮⫘↔10110100100)⇼⇔∾(⇁⨣⪵≮⫘↔110111000000⨎≮⫘↔10010011110))∀⇚≩(≮⫘↔1111111100⋝⋈⪟≮⫘↔111001101110⊭↱≮⫘↔100101010010⋓≮⫘↔10011110101-(≮⫘↔10100001011≹⇙⪍≮⫘↔1000010111101⨵⪆(≉≮⫘↔10100110000)))=NaN","reverse_text":"NaN=((≮⫘↔10001111101↙≮⫘↔11111111111)⇷(⊄⩳↩≮⫘↔10110100100)⇼⇔∾(⇁⨣⪵≮⫘↔110111000000⨎≮⫘↔10010011110))∀⇚≩(≮⫘↔1111111100⋝⋈⪟≮⫘↔111001101110⊭↱≮⫘↔100101010010⋓≮⫘↔10011110101-(≮⫘↔10100001011≹⇙⪍≮⫘↔1000010111101⨵⪆(≉≮⫘↔10100110000)))","cot":[{"info":"≮⫘↔10001111101↙≮⫘↔11111111111=≮⫘↔-1011111111101","layer":3},{"info":"⊄⩳↩≮⫘↔10110100100=≮⫘↔-1000011101100","layer":3},{"info":"≮⫘↔-1011111111101⇷≮⫘↔-1000011101100=NaN","layer":2},{"info":"≮⫘↔110111000000⨎≮⫘↔10010011110=≮⫘↔10010011110","layer":3},{"info":"⇁⨣⪵≮⫘↔10010011110=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"≮⫘↔1111111100⋝⋈⪟≮⫘↔111001101110=≮⫘↔1111111100","layer":3},{"info":"≮⫘↔100101010010⋓≮⫘↔10011110101=≮⫘↔0","layer":3},{"info":"≮⫘↔1111111100⊭↱≮⫘↔0=≮⫘↔-11111110011","layer":2},{"info":"≮⫘↔10100001011≹⇙⪍≮⫘↔1000010111101=NaN","layer":3},{"info":"≉≮⫘↔10100110000=≮⫘↔11101000011","layer":3},{"info":"NaN⨵⪆≮⫘↔11101000011=≮⫘↔10100000","layer":2},{"info":"≮⫘↔-11111110011-≮⫘↔10100000=≮⫘↔-100010010011","layer":1},{"info":"NaN∀⇚≩≮⫘↔-100010010011=NaN","layer":0}]}
{"id":803,"expression_no_base_symbol":"(↽≂(($3052$⫩⊇)⊭↱($1047$⇼⇔∾$5012$)))⋷((↯⪼$1656$)⪒$1524$⋳⪒$7207$)∲⫓($4371$⊦⊿)⫸⊐$3611$⨓$5071$","expression":"(↽≂((≮⫘↔101111101100⫩⊇)⊭↱(≮⫘↔10000010111⇼⇔∾≮⫘↔1001110010100)))⋷((↯⪼≮⫘↔11001111000)⪒≮⫘↔10111110100⋳⪒≮⫘↔1110000100111)∲⫓(≮⫘↔1000100010011⊦⊿)⫸⊐≮⫘↔111000011011⨓≮⫘↔1001111001111","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5145,"operation_count":12,"complexity_ratio":428.75,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3052,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1047,"base":2},"right_expr":{"type":"numeric_atoms","value":5012,"base":2}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1656,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1524,"base":2},"right_expr":{"type":"numeric_atoms","value":7207,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":4371,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3611,"base":2},"right_expr":{"type":"numeric_atoms","value":5071,"base":2}}}}},"used_operators":["23Mk6UjR3U","u6S6b8DprG","COABgblf1C","BjRHVeLaeN","tifHPKVTfV","i8ToyICDmI","f6k1SAg4EE","8jW3W4yZS5","12rbrZMWeM","mqXw5SEYmG","14qkJME0vr","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"≮⫘↔1101101000001100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3052","layer":4},{"info":"compute unary expreesion, input=3052, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3010","layer":3},{"info":"number node, value=1047","layer":4},{"info":"number node, value=5012","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=5012, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3965","layer":3},{"info":"compute binary expreesion, left_input=-3010, right_input=3965, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=13955","layer":2},{"info":"compute unary expreesion, input=13955, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-27910","layer":1},{"info":"number node, value=1656","layer":4},{"info":"compute unary expreesion, input=1656, 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=1524","layer":4},{"info":"number node, value=7207","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=7207, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4446","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-4446, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=4467","layer":2},{"info":"number node, value=4371","layer":4},{"info":"compute unary expreesion, input=4371, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-13192","layer":3},{"info":"number node, value=3611","layer":4},{"info":"number node, value=5071","layer":4},{"info":"compute binary expreesion, left_input=3611, right_input=5071, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5074","layer":3},{"info":"compute binary expreesion, left_input=-13192, right_input=-5074, 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=4467, right_input=968, 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=-27910, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=55820","layer":0}],"base":2,"result_base":2,"text":"(↽≂((≮⫘↔101111101100⫩⊇)⊭↱(≮⫘↔10000010111⇼⇔∾≮⫘↔1001110010100)))⋷((↯⪼≮⫘↔11001111000)⪒≮⫘↔10111110100⋳⪒≮⫘↔1110000100111)∲⫓(≮⫘↔1000100010011⊦⊿)⫸⊐≮⫘↔111000011011⨓≮⫘↔1001111001111=≮⫘↔1101101000001100","reverse_text":"≮⫘↔1101101000001100=(↽≂((≮⫘↔101111101100⫩⊇)⊭↱(≮⫘↔10000010111⇼⇔∾≮⫘↔1001110010100)))⋷((↯⪼≮⫘↔11001111000)⪒≮⫘↔10111110100⋳⪒≮⫘↔1110000100111)∲⫓(≮⫘↔1000100010011⊦⊿)⫸⊐≮⫘↔111000011011⨓≮⫘↔1001111001111","cot":[{"info":"≮⫘↔101111101100⫩⊇=≮⫘↔-101111000010","layer":3},{"info":"≮⫘↔10000010111⇼⇔∾≮⫘↔1001110010100=≮⫘↔111101111101","layer":3},{"info":"≮⫘↔-101111000010⊭↱≮⫘↔111101111101=≮⫘↔11011010000011","layer":2},{"info":"↽≂≮⫘↔11011010000011=≮⫘↔-110110100000110","layer":1},{"info":"↯⪼≮⫘↔11001111000=≮⫘↔-10101","layer":3},{"info":"≮⫘↔10111110100⋳⪒≮⫘↔1110000100111=≮⫘↔-1000101011110","layer":3},{"info":"≮⫘↔-10101⪒≮⫘↔-1000101011110=≮⫘↔1000101110011","layer":2},{"info":"≮⫘↔1000100010011⊦⊿=≮⫘↔-11001110001000","layer":3},{"info":"≮⫘↔111000011011⨓≮⫘↔1001111001111=≮⫘↔-1001111010010","layer":3},{"info":"≮⫘↔-11001110001000⫸⊐≮⫘↔-1001111010010=≮⫘↔1111001000","layer":2},{"info":"≮⫘↔1000101110011∲⫓≮⫘↔1111001000=≮⫘↔0","layer":1},{"info":"≮⫘↔-110110100000110⋷≮⫘↔0=≮⫘↔1101101000001100","layer":0}]}
{"id":804,"expression_no_base_symbol":"(($2492$↪⪝)⨸⪁$1026$⪢$2123$)⊴($2318$∼$1853$%$1596$-$5646$)⇷(($1980$∀⇚≩$1244$)↬(∥⊫$4136$)⨓(≦∁$6822$∀⇚≩$5342$))","expression":"((≮⫘↔100110111100↪⪝)⨸⪁≮⫘↔10000000010⪢≮⫘↔100001001011)⊴(≮⫘↔100100001110∼≮⫘↔11100111101%≮⫘↔11000111100-≮⫘↔1011000001110)⇷((≮⫘↔11110111100∀⇚≩≮⫘↔10011011100)↬(∥⊫≮⫘↔1000000101000)⨓(≦∁≮⫘↔1101010100110∀⇚≩≮⫘↔1010011011110))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":64516,"operation_count":14,"complexity_ratio":4608.285714285715,"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":2492,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1026,"base":2},"right_expr":{"type":"numeric_atoms","value":2123,"base":2}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2318,"base":2},"right_expr":{"type":"numeric_atoms","value":1853,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1596,"base":2},"right_expr":{"type":"numeric_atoms","value":5646,"base":2}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1980,"base":2},"right_expr":{"type":"numeric_atoms","value":1244,"base":2}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4136,"base":2}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6822,"base":2},"right_expr":{"type":"numeric_atoms","value":5342,"base":2}}}}},"used_operators":["mp7IySMOzn","Nsiff2A1zJ","g55IO6H4Gj","l07mrZUIn9","dWAJyo7jo9","k8jYdgA6NY","DyGG3AbaNP","rysDP5nf3Z","3ViojmjbAp","B5M0gjZbta","LRNGc0VcxI","P8v4zCKN1o","9ICcGScMcE"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2492","layer":4},{"info":"compute unary expreesion, input=2492, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=152465544","layer":3},{"info":"number node, value=1026","layer":4},{"info":"number node, value=2123","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=2123, 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=152465544, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=2318","layer":4},{"info":"number node, value=1853","layer":4},{"info":"compute binary expreesion, left_input=2318, right_input=1853, 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=1596","layer":4},{"info":"number node, value=5646","layer":4},{"info":"compute binary expreesion, left_input=1596, right_input=5646, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4050","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4050, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1980","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=1980, right_input=1244, 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=4136","layer":4},{"info":"compute unary expreesion, input=4136, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5004","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5004, 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=6822","layer":4},{"info":"number node, value=5342","layer":4},{"info":"compute binary expreesion, left_input=6822, right_input=5342, 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 = 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=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100110111100↪⪝)⨸⪁≮⫘↔10000000010⪢≮⫘↔100001001011)⊴(≮⫘↔100100001110∼≮⫘↔11100111101%≮⫘↔11000111100-≮⫘↔1011000001110)⇷((≮⫘↔11110111100∀⇚≩≮⫘↔10011011100)↬(∥⊫≮⫘↔1000000101000)⨓(≦∁≮⫘↔1101010100110∀⇚≩≮⫘↔1010011011110))=NaN","reverse_text":"NaN=((≮⫘↔100110111100↪⪝)⨸⪁≮⫘↔10000000010⪢≮⫘↔100001001011)⊴(≮⫘↔100100001110∼≮⫘↔11100111101%≮⫘↔11000111100-≮⫘↔1011000001110)⇷((≮⫘↔11110111100∀⇚≩≮⫘↔10011011100)↬(∥⊫≮⫘↔1000000101000)⨓(≦∁≮⫘↔1101010100110∀⇚≩≮⫘↔1010011011110))","cot":[{"info":"≮⫘↔100110111100↪⪝=≮⫘↔1001000101100111000010001000","layer":3},{"info":"≮⫘↔10000000010⪢≮⫘↔100001001011=NaN","layer":3},{"info":"≮⫘↔1001000101100111000010001000⨸⪁NaN=NaN","layer":2},{"info":"≮⫘↔100100001110∼≮⫘↔11100111101=NaN","layer":3},{"info":"≮⫘↔11000111100-≮⫘↔1011000001110=≮⫘↔-111111010010","layer":3},{"info":"NaN%≮⫘↔-111111010010=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"≮⫘↔11110111100∀⇚≩≮⫘↔10011011100=NaN","layer":3},{"info":"∥⊫≮⫘↔1000000101000=≮⫘↔1001110001100","layer":3},{"info":"NaN↬≮⫘↔1001110001100=NaN","layer":2},{"info":"≮⫘↔1101010100110∀⇚≩≮⫘↔1010011011110=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":805,"expression_no_base_symbol":"≦∁(⇁⨣⪵$5135$⇷$4492$)-($1224$⨵⪆$1158$)⪄(⨑⩽⪐$2634$)","expression":"≦∁(⇁⨣⪵≮⫘↔1010000001111⇷≮⫘↔1000110001100)-(≮⫘↔10011001000⨵⪆≮⫘↔10010000110)⪄(⨑⩽⪐≮⫘↔101001001010)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":71998,"operation_count":7,"complexity_ratio":10285.42857142857,"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":5135,"base":2},"right_expr":{"type":"numeric_atoms","value":4492,"base":2}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1224,"base":2},"right_expr":{"type":"numeric_atoms","value":1158,"base":2}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2634,"base":2}}}}},"used_operators":["9ICcGScMcE","rysDP5nf3Z","inkyxCbjAn","mp7IySMOzn","SUmda5xLS4","2DQ55sFlQl","AF7qkfDlqP"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","B5M0gjZbta","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5135","layer":4},{"info":"number node, value=4492","layer":4},{"info":"compute binary expreesion, left_input=5135, right_input=4492, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8984","layer":3},{"info":"compute unary expreesion, input=8984, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1224","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=1224, right_input=1158, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2634","layer":4},{"info":"compute unary expreesion, input=2634, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2361","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2361, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-10325","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10325, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"≦∁(⇁⨣⪵≮⫘↔1010000001111⇷≮⫘↔1000110001100)-(≮⫘↔10011001000⨵⪆≮⫘↔10010000110)⪄(⨑⩽⪐≮⫘↔101001001010)=NaN","reverse_text":"NaN=≦∁(⇁⨣⪵≮⫘↔1010000001111⇷≮⫘↔1000110001100)-(≮⫘↔10011001000⨵⪆≮⫘↔10010000110)⪄(⨑⩽⪐≮⫘↔101001001010)","cot":[{"info":"≮⫘↔1010000001111⇷≮⫘↔1000110001100=≮⫘↔10001100011000","layer":3},{"info":"⇁⨣⪵≮⫘↔10001100011000=NaN","layer":2},{"info":"≮⫘↔10011001000⨵⪆≮⫘↔10010000110=≮⫘↔10100000","layer":3},{"info":"⨑⩽⪐≮⫘↔101001001010=≮⫘↔-100100111001","layer":3},{"info":"≮⫘↔10100000⪄≮⫘↔-100100111001=≮⫘↔-10100001010101","layer":2},{"info":"NaN-≮⫘↔-10100001010101=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":806,"expression_no_base_symbol":"(⇁⨣⪵($7964$⋓$1288$%(⨑⩽⪐$4652$)))⋥≓≎(($2865$⋝⋈⪟$2036$)⨟⋌⩍($4023$⨪↰⇹$2369$)⋷(($1492$⨎$3941$)⊪))","expression":"(⇁⨣⪵(≮⫘↔1111100011100⋓≮⫘↔10100001000%(⨑⩽⪐≮⫘↔1001000101100)))⋥≓≎((≮⫘↔101100110001⋝⋈⪟≮⫘↔11111110100)⨟⋌⩍(≮⫘↔111110110111⨪↰⇹≮⫘↔100101000001)⋷((≮⫘↔10111010100⨎≮⫘↔111101100101)⊪))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4086,"operation_count":11,"complexity_ratio":371.45454545454544,"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":7964,"base":2},"right_expr":{"type":"numeric_atoms","value":1288,"base":2}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4652,"base":2}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2865,"base":2},"right_expr":{"type":"numeric_atoms","value":2036,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4023,"base":2},"right_expr":{"type":"numeric_atoms","value":2369,"base":2}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1492,"base":2},"right_expr":{"type":"numeric_atoms","value":3941,"base":2}}}}},"used_operators":["Qy55tPpLXF","inkyxCbjAn","k8jYdgA6NY","T2fj7uvVaJ","AF7qkfDlqP","23Mk6UjR3U","rGHVDoGpnC","2DDjHMKMc0","tmPS8pqC7x","zVYPLywUTj","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7964","layer":4},{"info":"number node, value=1288","layer":4},{"info":"compute binary expreesion, left_input=7964, right_input=1288, 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=4652","layer":4},{"info":"compute unary expreesion, input=4652, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4379","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4379, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":1},{"info":"number node, value=2865","layer":4},{"info":"number node, value=2036","layer":4},{"info":"compute binary expreesion, left_input=2865, right_input=2036, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2865","layer":3},{"info":"number node, value=4023","layer":4},{"info":"number node, value=2369","layer":4},{"info":"compute binary expreesion, left_input=4023, right_input=2369, 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=4023","layer":3},{"info":"compute binary expreesion, left_input=2865, right_input=4023, 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=1492","layer":4},{"info":"number node, value=3941","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=3941, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3941","layer":3},{"info":"compute unary expreesion, input=3941, 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":"compute binary expreesion, left_input=nan, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⇁⨣⪵(≮⫘↔1111100011100⋓≮⫘↔10100001000%(⨑⩽⪐≮⫘↔1001000101100)))⋥≓≎((≮⫘↔101100110001⋝⋈⪟≮⫘↔11111110100)⨟⋌⩍(≮⫘↔111110110111⨪↰⇹≮⫘↔100101000001)⋷((≮⫘↔10111010100⨎≮⫘↔111101100101)⊪))=NaN","reverse_text":"NaN=(⇁⨣⪵(≮⫘↔1111100011100⋓≮⫘↔10100001000%(⨑⩽⪐≮⫘↔1001000101100)))⋥≓≎((≮⫘↔101100110001⋝⋈⪟≮⫘↔11111110100)⨟⋌⩍(≮⫘↔111110110111⨪↰⇹≮⫘↔100101000001)⋷((≮⫘↔10111010100⨎≮⫘↔111101100101)⊪))","cot":[{"info":"≮⫘↔1111100011100⋓≮⫘↔10100001000=≮⫘↔0","layer":3},{"info":"⨑⩽⪐≮⫘↔1001000101100=≮⫘↔-1000100011011","layer":3},{"info":"≮⫘↔0%≮⫘↔-1000100011011=≮⫘↔0","layer":2},{"info":"⇁⨣⪵≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔101100110001⋝⋈⪟≮⫘↔11111110100=≮⫘↔101100110001","layer":3},{"info":"≮⫘↔111110110111⨪↰⇹≮⫘↔100101000001=≮⫘↔111110110111","layer":3},{"info":"≮⫘↔101100110001⨟⋌⩍≮⫘↔111110110111=NaN","layer":2},{"info":"≮⫘↔10111010100⨎≮⫘↔111101100101=≮⫘↔111101100101","layer":3},{"info":"≮⫘↔111101100101⊪=≮⫘↔0","layer":2},{"info":"NaN⋷≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔0⋥≓≎NaN=NaN","layer":0}]}
{"id":807,"expression_no_base_symbol":"⋗⩬⋾(($3019$⊉≛↸$1081$)⪛($3605$⪒$1468$)⪒$1290$⪄$5681$*(⊥$2381$))","expression":"⋗⩬⋾((≮⫘↔101111001011⊉≛↸≮⫘↔10000111001)⪛(≮⫘↔111000010101⪒≮⫘↔10110111100)⪒≮⫘↔10100001010⪄≮⫘↔1011000110001*(⊥≮⫘↔100101001101))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":112,"operation_count":8,"complexity_ratio":14.0,"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":3019,"base":2},"right_expr":{"type":"numeric_atoms","value":1081,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3605,"base":2},"right_expr":{"type":"numeric_atoms","value":1468,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1290,"base":2},"right_expr":{"type":"numeric_atoms","value":5681,"base":2}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2381,"base":2}}}}},"used_operators":["DpFCA1CohY","f6k1SAg4EE","uFcxV4UQCh","DZ8iAZOCBD","9HNa5Wba9A","SUmda5xLS4","Q3PJZHRvZv"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3019","layer":4},{"info":"number node, value=1081","layer":4},{"info":"compute binary expreesion, left_input=3019, right_input=1081, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6038","layer":3},{"info":"number node, value=3605","layer":4},{"info":"number node, value=1468","layer":4},{"info":"compute binary expreesion, left_input=3605, right_input=1468, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5073","layer":3},{"info":"compute binary expreesion, left_input=6038, right_input=-5073, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-4108","layer":2},{"info":"number node, value=1290","layer":4},{"info":"number node, value=5681","layer":4},{"info":"compute binary expreesion, left_input=1290, right_input=5681, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-209733","layer":3},{"info":"number node, value=2381","layer":4},{"info":"compute unary expreesion, input=2381, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-209733, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4108, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"⋗⩬⋾((≮⫘↔101111001011⊉≛↸≮⫘↔10000111001)⪛(≮⫘↔111000010101⪒≮⫘↔10110111100)⪒≮⫘↔10100001010⪄≮⫘↔1011000110001*(⊥≮⫘↔100101001101))=NaN","reverse_text":"NaN=⋗⩬⋾((≮⫘↔101111001011⊉≛↸≮⫘↔10000111001)⪛(≮⫘↔111000010101⪒≮⫘↔10110111100)⪒≮⫘↔10100001010⪄≮⫘↔1011000110001*(⊥≮⫘↔100101001101))","cot":[{"info":"≮⫘↔101111001011⊉≛↸≮⫘↔10000111001=≮⫘↔1011110010110","layer":3},{"info":"≮⫘↔111000010101⪒≮⫘↔10110111100=≮⫘↔-1001111010001","layer":3},{"info":"≮⫘↔1011110010110⪛≮⫘↔-1001111010001=≮⫘↔-1000000001100","layer":2},{"info":"≮⫘↔10100001010⪄≮⫘↔1011000110001=≮⫘↔-110011001101000101","layer":3},{"info":"⊥≮⫘↔100101001101=NaN","layer":3},{"info":"≮⫘↔-110011001101000101*NaN=NaN","layer":2},{"info":"≮⫘↔-1000000001100⪒NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":808,"expression_no_base_symbol":"($1618$⨰$3398$⫥∨⫟($6446$⪒$1760$))⪘⫢($1880$⪘⫢$4655$⋓$1153$∀⇚≩$2962$)⨓((∂($1992$⫸⊐$1609$))+⇶⊼((⇁⨣⪵$7423$)⨸⪁$3400$⪢$7839$))","expression":"(≮⫘↔11001010010⨰≮⫘↔110101000110⫥∨⫟(≮⫘↔1100100101110⪒≮⫘↔11011100000))⪘⫢(≮⫘↔11101011000⪘⫢≮⫘↔1001000101111⋓≮⫘↔10010000001∀⇚≩≮⫘↔101110010010)⨓((∂(≮⫘↔11111001000⫸⊐≮⫘↔11001001001))+⇶⊼((⇁⨣⪵≮⫘↔1110011111111)⨸⪁≮⫘↔110101001000⪢≮⫘↔1111010011111))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16147,"operation_count":14,"complexity_ratio":1153.357142857143,"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":1618,"base":2},"right_expr":{"type":"numeric_atoms","value":3398,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6446,"base":2},"right_expr":{"type":"numeric_atoms","value":1760,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1880,"base":2},"right_expr":{"type":"numeric_atoms","value":4655,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1153,"base":2},"right_expr":{"type":"numeric_atoms","value":2962,"base":2}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1992,"base":2},"right_expr":{"type":"numeric_atoms","value":1609,"base":2}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":7423,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3400,"base":2},"right_expr":{"type":"numeric_atoms","value":7839,"base":2}}}}},"used_operators":["3ViojmjbAp","oacrs7FA3X","KYD54nUTWz","eewbuw0ToL","f6k1SAg4EE","T2fj7uvVaJ","LRNGc0VcxI","TpPTUOHfaN","Uaa54Peajs","mqXw5SEYmG","g55IO6H4Gj","inkyxCbjAn","dWAJyo7jo9"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","X99M06cbEe","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","B5M0gjZbta","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1618","layer":4},{"info":"number node, value=3398","layer":4},{"info":"compute binary expreesion, left_input=1618, right_input=3398, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1770","layer":3},{"info":"number node, value=6446","layer":4},{"info":"number node, value=1760","layer":4},{"info":"compute binary expreesion, left_input=6446, right_input=1760, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8206","layer":3},{"info":"compute binary expreesion, left_input=-1770, right_input=-8206, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1880","layer":4},{"info":"number node, value=4655","layer":4},{"info":"compute binary expreesion, left_input=1880, right_input=4655, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3636","layer":3},{"info":"number node, value=1153","layer":4},{"info":"number node, value=2962","layer":4},{"info":"compute binary expreesion, left_input=1153, right_input=2962, 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=3636, 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=nan, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"number node, value=1992","layer":4},{"info":"number node, value=1609","layer":4},{"info":"compute binary expreesion, left_input=1992, right_input=1609, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6311","layer":3},{"info":"compute unary expreesion, input=6311, 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=7423","layer":4},{"info":"compute unary expreesion, input=7423, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3400","layer":4},{"info":"number node, value=7839","layer":4},{"info":"compute binary expreesion, left_input=3400, right_input=7839, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"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":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":2,"result_base":2,"text":"(≮⫘↔11001010010⨰≮⫘↔110101000110⫥∨⫟(≮⫘↔1100100101110⪒≮⫘↔11011100000))⪘⫢(≮⫘↔11101011000⪘⫢≮⫘↔1001000101111⋓≮⫘↔10010000001∀⇚≩≮⫘↔101110010010)⨓((∂(≮⫘↔11111001000⫸⊐≮⫘↔11001001001))+⇶⊼((⇁⨣⪵≮⫘↔1110011111111)⨸⪁≮⫘↔110101001000⪢≮⫘↔1111010011111))=NaN","reverse_text":"NaN=(≮⫘↔11001010010⨰≮⫘↔110101000110⫥∨⫟(≮⫘↔1100100101110⪒≮⫘↔11011100000))⪘⫢(≮⫘↔11101011000⪘⫢≮⫘↔1001000101111⋓≮⫘↔10010000001∀⇚≩≮⫘↔101110010010)⨓((∂(≮⫘↔11111001000⫸⊐≮⫘↔11001001001))+⇶⊼((⇁⨣⪵≮⫘↔1110011111111)⨸⪁≮⫘↔110101001000⪢≮⫘↔1111010011111))","cot":[{"info":"≮⫘↔11001010010⨰≮⫘↔110101000110=≮⫘↔-11011101010","layer":3},{"info":"≮⫘↔1100100101110⪒≮⫘↔11011100000=≮⫘↔-10000000001110","layer":3},{"info":"≮⫘↔-11011101010⫥∨⫟≮⫘↔-10000000001110=NaN","layer":2},{"info":"≮⫘↔11101011000⪘⫢≮⫘↔1001000101111=≮⫘↔111000110100","layer":3},{"info":"≮⫘↔10010000001∀⇚≩≮⫘↔101110010010=NaN","layer":3},{"info":"≮⫘↔111000110100⋓NaN=NaN","layer":2},{"info":"NaN⪘⫢NaN=NaN","layer":1},{"info":"≮⫘↔11111001000⫸⊐≮⫘↔11001001001=≮⫘↔1100010100111","layer":3},{"info":"∂≮⫘↔1100010100111=NaN","layer":2},{"info":"⇁⨣⪵≮⫘↔1110011111111=NaN","layer":3},{"info":"≮⫘↔110101001000⪢≮⫘↔1111010011111=NaN","layer":3},{"info":"NaN⨸⪁NaN=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":809,"expression_no_base_symbol":"((⨑⩽⪐$1679$)⪮%⊝($2311$⊭↱$5196$))≹⇙⪍(($5355$⪘⫢$3599$)↬(≦∁$1263$))≭(⨞⊢$1932$⪢$1574$)⪘⫢(($4555$⩠)⊉≛↸(⪲⇎$1281$))","expression":"((⨑⩽⪐≮⫘↔11010001111)⪮%⊝(≮⫘↔100100000111⊭↱≮⫘↔1010001001100))≹⇙⪍((≮⫘↔1010011101011⪘⫢≮⫘↔111000001111)↬(≦∁≮⫘↔10011101111))≭(⨞⊢≮⫘↔11110001100⪢≮⫘↔11000100110)⪘⫢((≮⫘↔1000111001011⩠)⊉≛↸(⪲⇎≮⫘↔10100000001))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1889,"operation_count":14,"complexity_ratio":134.92857142857142,"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":1679,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2311,"base":2},"right_expr":{"type":"numeric_atoms","value":5196,"base":2}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5355,"base":2},"right_expr":{"type":"numeric_atoms","value":3599,"base":2}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1263,"base":2}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1932,"base":2},"right_expr":{"type":"numeric_atoms","value":1574,"base":2}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4555,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1281,"base":2}}}}},"used_operators":["rxpJgHHUmx","AHs5Up7iyr","IWmyXbctLI","AF7qkfDlqP","COABgblf1C","B5M0gjZbta","oacrs7FA3X","9ICcGScMcE","xUOZtlo3hN","dWAJyo7jo9","DZ8iAZOCBD","sJAwomhLZr","XPYlsWDdGa"],"dependent_operators":["AHs5Up7iyr","dWAJyo7jo9","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1679","layer":4},{"info":"compute unary expreesion, input=1679, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1406","layer":3},{"info":"number node, value=2311","layer":4},{"info":"number node, value=5196","layer":4},{"info":"compute binary expreesion, left_input=2311, right_input=5196, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5775","layer":3},{"info":"compute binary expreesion, left_input=-1406, right_input=5775, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-2496","layer":2},{"info":"number node, value=5355","layer":4},{"info":"number node, value=3599","layer":4},{"info":"compute binary expreesion, left_input=5355, right_input=3599, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10586","layer":3},{"info":"number node, value=1263","layer":4},{"info":"compute unary expreesion, input=1263, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1263","layer":3},{"info":"compute binary expreesion, left_input=10586, right_input=1263, 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=-2496, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1932","layer":4},{"info":"number node, value=1574","layer":4},{"info":"compute binary expreesion, left_input=1932, right_input=1574, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"number node, value=4555","layer":4},{"info":"compute unary expreesion, input=4555, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1281","layer":4},{"info":"compute unary expreesion, input=1281, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2562","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2562, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨑⩽⪐≮⫘↔11010001111)⪮%⊝(≮⫘↔100100000111⊭↱≮⫘↔1010001001100))≹⇙⪍((≮⫘↔1010011101011⪘⫢≮⫘↔111000001111)↬(≦∁≮⫘↔10011101111))≭(⨞⊢≮⫘↔11110001100⪢≮⫘↔11000100110)⪘⫢((≮⫘↔1000111001011⩠)⊉≛↸(⪲⇎≮⫘↔10100000001))=NaN","reverse_text":"NaN=((⨑⩽⪐≮⫘↔11010001111)⪮%⊝(≮⫘↔100100000111⊭↱≮⫘↔1010001001100))≹⇙⪍((≮⫘↔1010011101011⪘⫢≮⫘↔111000001111)↬(≦∁≮⫘↔10011101111))≭(⨞⊢≮⫘↔11110001100⪢≮⫘↔11000100110)⪘⫢((≮⫘↔1000111001011⩠)⊉≛↸(⪲⇎≮⫘↔10100000001))","cot":[{"info":"⨑⩽⪐≮⫘↔11010001111=≮⫘↔-10101111110","layer":3},{"info":"≮⫘↔100100000111⊭↱≮⫘↔1010001001100=≮⫘↔1011010001111","layer":3},{"info":"≮⫘↔-10101111110⪮%⊝≮⫘↔1011010001111=≮⫘↔-100111000000","layer":2},{"info":"≮⫘↔1010011101011⪘⫢≮⫘↔111000001111=≮⫘↔10100101011010","layer":3},{"info":"≦∁≮⫘↔10011101111=≮⫘↔10011101111","layer":3},{"info":"≮⫘↔10100101011010↬≮⫘↔10011101111=NaN","layer":2},{"info":"≮⫘↔-100111000000≹⇙⪍NaN=NaN","layer":1},{"info":"≮⫘↔11110001100⪢≮⫘↔11000100110=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"≮⫘↔1000111001011⩠=≮⫘↔0","layer":3},{"info":"⪲⇎≮⫘↔10100000001=≮⫘↔101000000010","layer":3},{"info":"≮⫘↔0⊉≛↸≮⫘↔101000000010=≮⫘↔0","layer":2},{"info":"NaN⪘⫢≮⫘↔0=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":810,"expression_no_base_symbol":"((($1510$⨁⊸⫻)⫡⨏(⪲⇎$1179$))⇋≉)/$1069$⪘⫢$1998$⨰($1440$∸)⨎(⩦⩻⨪$3577$⋥≓≎$5298$)","expression":"(((≮⫘↔10111100110⨁⊸⫻)⫡⨏(⪲⇎≮⫘↔10010011011))⇋≉)/≮⫘↔10000101101⪘⫢≮⫘↔11111001110⨰(≮⫘↔10110100000∸)⨎(⩦⩻⨪≮⫘↔110111111001⋥≓≎≮⫘↔1010010110010)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":222,"operation_count":11,"complexity_ratio":20.181818181818183,"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":1510,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1179,"base":2}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1069,"base":2},"right_expr":{"type":"numeric_atoms","value":1998,"base":2}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1440,"base":2}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3577,"base":2},"right_expr":{"type":"numeric_atoms","value":5298,"base":2}}}}},"used_operators":["XhwjNDsVaA","XIabStNQrY","QMFrweE19q","glklzrTFfD","XPYlsWDdGa","rJVOvQCfKK","eewbuw0ToL","oacrs7FA3X","o20kRiQErp","2td37pGCOC","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔11","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1510","layer":4},{"info":"compute unary expreesion, input=1510, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1510","layer":3},{"info":"number node, value=1179","layer":4},{"info":"compute unary expreesion, input=1179, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2358","layer":3},{"info":"compute binary expreesion, left_input=1510, right_input=2358, 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=13049","layer":2},{"info":"compute unary expreesion, input=13049, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=26000","layer":1},{"info":"number node, value=1069","layer":4},{"info":"number node, value=1998","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=1998, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2014","layer":3},{"info":"number node, value=1440","layer":4},{"info":"compute unary expreesion, input=1440, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=2014, right_input=177, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1847","layer":2},{"info":"number node, value=3577","layer":4},{"info":"number node, value=5298","layer":4},{"info":"compute binary expreesion, left_input=3577, right_input=5298, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7052","layer":3},{"info":"compute unary expreesion, input=7052, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7052","layer":2},{"info":"compute binary expreesion, left_input=1847, right_input=7052, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7052","layer":1},{"info":"compute binary expreesion, left_input=26000, right_input=7052, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10111100110⨁⊸⫻)⫡⨏(⪲⇎≮⫘↔10010011011))⇋≉)/≮⫘↔10000101101⪘⫢≮⫘↔11111001110⨰(≮⫘↔10110100000∸)⨎(⩦⩻⨪≮⫘↔110111111001⋥≓≎≮⫘↔1010010110010)=≮⫘↔11","reverse_text":"≮⫘↔11=(((≮⫘↔10111100110⨁⊸⫻)⫡⨏(⪲⇎≮⫘↔10010011011))⇋≉)/≮⫘↔10000101101⪘⫢≮⫘↔11111001110⨰(≮⫘↔10110100000∸)⨎(⩦⩻⨪≮⫘↔110111111001⋥≓≎≮⫘↔1010010110010)","cot":[{"info":"≮⫘↔10111100110⨁⊸⫻=≮⫘↔10111100110","layer":3},{"info":"⪲⇎≮⫘↔10010011011=≮⫘↔100100110110","layer":3},{"info":"≮⫘↔10111100110⫡⨏≮⫘↔100100110110=≮⫘↔11001011111001","layer":2},{"info":"≮⫘↔11001011111001⇋≉=≮⫘↔110010110010000","layer":1},{"info":"≮⫘↔10000101101⪘⫢≮⫘↔11111001110=≮⫘↔11111011110","layer":3},{"info":"≮⫘↔10110100000∸=≮⫘↔10110001","layer":3},{"info":"≮⫘↔11111011110⨰≮⫘↔10110001=≮⫘↔11100110111","layer":2},{"info":"≮⫘↔110111111001⋥≓≎≮⫘↔1010010110010=≮⫘↔1101110001100","layer":3},{"info":"⩦⩻⨪≮⫘↔1101110001100=≮⫘↔1101110001100","layer":2},{"info":"≮⫘↔11100110111⨎≮⫘↔1101110001100=≮⫘↔1101110001100","layer":1},{"info":"≮⫘↔110010110010000/≮⫘↔1101110001100=≮⫘↔11","layer":0}]}
{"id":811,"expression_no_base_symbol":"(($1186$⫩⊇)↺($4675$⊭↱$4328$))⨪↰⇹(-$3080$)⪢(↣≠⋷$4175$)⋳⪒((⪲⇎$1343$)⩷∴(⨑⩽⪐$1718$)↙($2175$⨽$3466$↺($3767$⊉≛↸$1185$)))","expression":"((≮⫘↔10010100010⫩⊇)↺(≮⫘↔1001001000011⊭↱≮⫘↔1000011101000))⨪↰⇹(-≮⫘↔110000001000)⪢(↣≠⋷≮⫘↔1000001001111)⋳⪒((⪲⇎≮⫘↔10100111111)⩷∴(⨑⩽⪐≮⫘↔11010110110)↙(≮⫘↔100001111111⨽≮⫘↔110110001010↺(≮⫘↔111010110111⊉≛↸≮⫘↔10010100001)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10448,"operation_count":15,"complexity_ratio":696.5333333333333,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1186,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4675,"base":2},"right_expr":{"type":"numeric_atoms","value":4328,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3080,"base":2}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4175,"base":2}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1343,"base":2}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1718,"base":2}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2175,"base":2},"right_expr":{"type":"numeric_atoms","value":3466,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3767,"base":2},"right_expr":{"type":"numeric_atoms","value":1185,"base":2}}}}},"used_operators":["12rbrZMWeM","tmPS8pqC7x","7j4O788W3g","BjRHVeLaeN","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","Asc51vEJeQ","yyfyN0ffXY","9FxExcQeMw","XPYlsWDdGa","AF7qkfDlqP","8HhzD0ZcuI","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔101110010001101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1186","layer":4},{"info":"compute unary expreesion, input=1186, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1144","layer":3},{"info":"number node, value=4675","layer":4},{"info":"number node, value=4328","layer":4},{"info":"compute binary expreesion, left_input=4675, right_input=4328, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-689","layer":3},{"info":"compute binary expreesion, left_input=-1144, right_input=-689, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-689","layer":2},{"info":"number node, value=3080","layer":4},{"info":"compute unary expreesion, input=3080, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3080","layer":3},{"info":"number node, value=4175","layer":4},{"info":"compute unary expreesion, input=4175, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3080, 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=-689, 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=689","layer":1},{"info":"number node, value=1343","layer":4},{"info":"compute unary expreesion, input=1343, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2686","layer":3},{"info":"number node, value=1718","layer":4},{"info":"compute unary expreesion, input=1718, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1445","layer":3},{"info":"compute binary expreesion, left_input=2686, right_input=-1445, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8230","layer":2},{"info":"number node, value=2175","layer":4},{"info":"number node, value=3466","layer":4},{"info":"compute binary expreesion, left_input=2175, right_input=3466, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-14200959","layer":3},{"info":"number node, value=3767","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=3767, right_input=1185, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7534","layer":3},{"info":"compute binary expreesion, left_input=-14200959, right_input=7534, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7534","layer":2},{"info":"compute binary expreesion, left_input=8230, right_input=7534, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-22602","layer":1},{"info":"compute binary expreesion, left_input=689, right_input=-22602, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=23693","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10010100010⫩⊇)↺(≮⫘↔1001001000011⊭↱≮⫘↔1000011101000))⨪↰⇹(-≮⫘↔110000001000)⪢(↣≠⋷≮⫘↔1000001001111)⋳⪒((⪲⇎≮⫘↔10100111111)⩷∴(⨑⩽⪐≮⫘↔11010110110)↙(≮⫘↔100001111111⨽≮⫘↔110110001010↺(≮⫘↔111010110111⊉≛↸≮⫘↔10010100001)))=≮⫘↔101110010001101","reverse_text":"≮⫘↔101110010001101=((≮⫘↔10010100010⫩⊇)↺(≮⫘↔1001001000011⊭↱≮⫘↔1000011101000))⨪↰⇹(-≮⫘↔110000001000)⪢(↣≠⋷≮⫘↔1000001001111)⋳⪒((⪲⇎≮⫘↔10100111111)⩷∴(⨑⩽⪐≮⫘↔11010110110)↙(≮⫘↔100001111111⨽≮⫘↔110110001010↺(≮⫘↔111010110111⊉≛↸≮⫘↔10010100001)))","cot":[{"info":"≮⫘↔10010100010⫩⊇=≮⫘↔-10001111000","layer":3},{"info":"≮⫘↔1001001000011⊭↱≮⫘↔1000011101000=≮⫘↔-1010110001","layer":3},{"info":"≮⫘↔-10001111000↺≮⫘↔-1010110001=≮⫘↔-1010110001","layer":2},{"info":"-≮⫘↔110000001000=≮⫘↔-110000001000","layer":3},{"info":"↣≠⋷≮⫘↔1000001001111=NaN","layer":3},{"info":"≮⫘↔-110000001000⪢NaN=NaN","layer":2},{"info":"≮⫘↔-1010110001⨪↰⇹NaN=≮⫘↔1010110001","layer":1},{"info":"⪲⇎≮⫘↔10100111111=≮⫘↔101001111110","layer":3},{"info":"⨑⩽⪐≮⫘↔11010110110=≮⫘↔-10110100101","layer":3},{"info":"≮⫘↔101001111110⩷∴≮⫘↔-10110100101=≮⫘↔10000000100110","layer":2},{"info":"≮⫘↔100001111111⨽≮⫘↔110110001010=≮⫘↔-110110001011000001111111","layer":3},{"info":"≮⫘↔111010110111⊉≛↸≮⫘↔10010100001=≮⫘↔1110101101110","layer":3},{"info":"≮⫘↔-110110001011000001111111↺≮⫘↔1110101101110=≮⫘↔1110101101110","layer":2},{"info":"≮⫘↔10000000100110↙≮⫘↔1110101101110=≮⫘↔-101100001001010","layer":1},{"info":"≮⫘↔1010110001⋳⪒≮⫘↔-101100001001010=≮⫘↔101110010001101","layer":0}]}
{"id":812,"expression_no_base_symbol":"((($2943$⨵⪆$2012$)≫≃)⩠)⨳⩥⨓($1249$↬$5797$⨐⩸⫘($1918$↛⩡⫤)+(($3137$⪨≂$1423$)↛⩡⫤))","expression":"(((≮⫘↔101101111111⨵⪆≮⫘↔11111011100)≫≃)⩠)⨳⩥⨓(≮⫘↔10011100001↬≮⫘↔1011010100101⨐⩸⫘(≮⫘↔11101111110↛⩡⫤)+((≮⫘↔110001000001⪨≂≮⫘↔10110001111)↛⩡⫤))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":16649,"operation_count":10,"complexity_ratio":1664.9,"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":2943,"base":2},"right_expr":{"type":"numeric_atoms","value":2012,"base":2}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1249,"base":2},"right_expr":{"type":"numeric_atoms","value":5797,"base":2}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1918,"base":2}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3137,"base":2},"right_expr":{"type":"numeric_atoms","value":1423,"base":2}}}}},"used_operators":["nCS4ZIUYfx","sJAwomhLZr","X99M06cbEe","2DQ55sFlQl","W4YGzv6Whe","fu6greOZ01","B5M0gjZbta","FU0Cs4j7VP","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rGHVDoGpnC","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2943","layer":4},{"info":"number node, value=2012","layer":4},{"info":"compute binary expreesion, left_input=2943, right_input=2012, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1721","layer":2},{"info":"compute unary expreesion, input=1721, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"number node, value=1249","layer":4},{"info":"number node, value=5797","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=5797, 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=1918","layer":4},{"info":"compute unary expreesion, input=1918, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-285707","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-285707, 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=3137","layer":4},{"info":"number node, value=1423","layer":4},{"info":"compute binary expreesion, left_input=3137, right_input=1423, 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=3530","layer":3},{"info":"compute unary expreesion, input=3530, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-529119","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-529119, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"(((≮⫘↔101101111111⨵⪆≮⫘↔11111011100)≫≃)⩠)⨳⩥⨓(≮⫘↔10011100001↬≮⫘↔1011010100101⨐⩸⫘(≮⫘↔11101111110↛⩡⫤)+((≮⫘↔110001000001⪨≂≮⫘↔10110001111)↛⩡⫤))=NaN","reverse_text":"NaN=(((≮⫘↔101101111111⨵⪆≮⫘↔11111011100)≫≃)⩠)⨳⩥⨓(≮⫘↔10011100001↬≮⫘↔1011010100101⨐⩸⫘(≮⫘↔11101111110↛⩡⫤)+((≮⫘↔110001000001⪨≂≮⫘↔10110001111)↛⩡⫤))","cot":[{"info":"≮⫘↔101101111111⨵⪆≮⫘↔11111011100=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10100000≫≃=≮⫘↔11010111001","layer":2},{"info":"≮⫘↔11010111001⩠=≮⫘↔0","layer":1},{"info":"≮⫘↔10011100001↬≮⫘↔1011010100101=NaN","layer":3},{"info":"≮⫘↔11101111110↛⩡⫤=≮⫘↔-1000101110000001011","layer":3},{"info":"NaN⨐⩸⫘≮⫘↔-1000101110000001011=NaN","layer":2},{"info":"≮⫘↔110001000001⪨≂≮⫘↔10110001111=≮⫘↔110111001010","layer":3},{"info":"≮⫘↔110111001010↛⩡⫤=≮⫘↔-10000001001011011111","layer":2},{"info":"NaN+≮⫘↔-10000001001011011111=NaN","layer":1},{"info":"≮⫘↔0⨳⩥⨓NaN=NaN","layer":0}]}
{"id":813,"expression_no_base_symbol":"(((⨵≀≌$1630$)⪒($3095$∧))⪮%⊝($3587$⪘⫢$3209$∑⇟⊟($1251$⋳⪒$2609$)))⨟⋌⩍(($2514$⊉≛↸$5617$%($2447$⪨≂$4874$))∑⇟⊟(($2433$⩨$7643$)⨳⩥⨓$1162$⨓$2554$))","expression":"(((⨵≀≌≮⫘↔11001011110)⪒(≮⫘↔110000010111∧))⪮%⊝(≮⫘↔111000000011⪘⫢≮⫘↔110010001001∑⇟⊟(≮⫘↔10011100011⋳⪒≮⫘↔101000110001)))⨟⋌⩍((≮⫘↔100111010010⊉≛↸≮⫘↔1010111110001%(≮⫘↔100110001111⪨≂≮⫘↔1001100001010))∑⇟⊟((≮⫘↔100110000001⩨≮⫘↔1110111011011)⨳⩥⨓≮⫘↔10010001010⨓≮⫘↔100111111010))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":159408,"operation_count":15,"complexity_ratio":10627.2,"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":1630,"base":2}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3095,"base":2}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3587,"base":2},"right_expr":{"type":"numeric_atoms","value":3209,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1251,"base":2},"right_expr":{"type":"numeric_atoms","value":2609,"base":2}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2514,"base":2},"right_expr":{"type":"numeric_atoms","value":5617,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2447,"base":2},"right_expr":{"type":"numeric_atoms","value":4874,"base":2}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2433,"base":2},"right_expr":{"type":"numeric_atoms","value":7643,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1162,"base":2},"right_expr":{"type":"numeric_atoms","value":2554,"base":2}}}}},"used_operators":["rGHVDoGpnC","IWmyXbctLI","f6k1SAg4EE","srAu1WTS94","z63VuFQld9","U7g4x0WXJJ","oacrs7FA3X","12rbrZMWeM","k8jYdgA6NY","DZ8iAZOCBD","sdazOOVcIp","nCS4ZIUYfx","2DlMacCsIx","3ViojmjbAp"],"dependent_operators":["Tcnh7f0tEr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1630","layer":4},{"info":"compute unary expreesion, input=1630, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4890","layer":3},{"info":"number node, value=3095","layer":4},{"info":"compute unary expreesion, input=3095, 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=-4890, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=3587","layer":4},{"info":"number node, value=3209","layer":4},{"info":"compute binary expreesion, left_input=3587, right_input=3209, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7050","layer":3},{"info":"number node, value=1251","layer":4},{"info":"number node, value=2609","layer":4},{"info":"compute binary expreesion, left_input=1251, right_input=2609, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-394","layer":3},{"info":"compute binary expreesion, left_input=7050, right_input=-394, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=2514","layer":4},{"info":"number node, value=5617","layer":4},{"info":"compute binary expreesion, left_input=2514, right_input=5617, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5028","layer":3},{"info":"number node, value=2447","layer":4},{"info":"number node, value=4874","layer":4},{"info":"compute binary expreesion, left_input=2447, right_input=4874, 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=-4752","layer":3},{"info":"compute binary expreesion, left_input=5028, right_input=-4752, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-4476","layer":2},{"info":"number node, value=2433","layer":4},{"info":"number node, value=7643","layer":4},{"info":"compute binary expreesion, left_input=2433, right_input=7643, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"number node, value=1162","layer":4},{"info":"number node, value=2554","layer":4},{"info":"compute binary expreesion, left_input=1162, right_input=2554, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2557","layer":3},{"info":"compute binary expreesion, left_input=-9, right_input=-2557, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2548","layer":2},{"info":"compute binary expreesion, left_input=-4476, right_input=-2548, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((⨵≀≌≮⫘↔11001011110)⪒(≮⫘↔110000010111∧))⪮%⊝(≮⫘↔111000000011⪘⫢≮⫘↔110010001001∑⇟⊟(≮⫘↔10011100011⋳⪒≮⫘↔101000110001)))⨟⋌⩍((≮⫘↔100111010010⊉≛↸≮⫘↔1010111110001%(≮⫘↔100110001111⪨≂≮⫘↔1001100001010))∑⇟⊟((≮⫘↔100110000001⩨≮⫘↔1110111011011)⨳⩥⨓≮⫘↔10010001010⨓≮⫘↔100111111010))=NaN","reverse_text":"NaN=(((⨵≀≌≮⫘↔11001011110)⪒(≮⫘↔110000010111∧))⪮%⊝(≮⫘↔111000000011⪘⫢≮⫘↔110010001001∑⇟⊟(≮⫘↔10011100011⋳⪒≮⫘↔101000110001)))⨟⋌⩍((≮⫘↔100111010010⊉≛↸≮⫘↔1010111110001%(≮⫘↔100110001111⪨≂≮⫘↔1001100001010))∑⇟⊟((≮⫘↔100110000001⩨≮⫘↔1110111011011)⨳⩥⨓≮⫘↔10010001010⨓≮⫘↔100111111010))","cot":[{"info":"⨵≀≌≮⫘↔11001011110=≮⫘↔-1001100011010","layer":3},{"info":"≮⫘↔110000010111∧=NaN","layer":3},{"info":"≮⫘↔-1001100011010⪒NaN=NaN","layer":2},{"info":"≮⫘↔111000000011⪘⫢≮⫘↔110010001001=≮⫘↔1101110001010","layer":3},{"info":"≮⫘↔10011100011⋳⪒≮⫘↔101000110001=≮⫘↔-110001010","layer":3},{"info":"≮⫘↔1101110001010∑⇟⊟≮⫘↔-110001010=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"≮⫘↔100111010010⊉≛↸≮⫘↔1010111110001=≮⫘↔1001110100100","layer":3},{"info":"≮⫘↔100110001111⪨≂≮⫘↔1001100001010=≮⫘↔-1001010010000","layer":3},{"info":"≮⫘↔1001110100100%≮⫘↔-1001010010000=≮⫘↔-1000101111100","layer":2},{"info":"≮⫘↔100110000001⩨≮⫘↔1110111011011=≮⫘↔-1001","layer":3},{"info":"≮⫘↔10010001010⨓≮⫘↔100111111010=≮⫘↔-100111111101","layer":3},{"info":"≮⫘↔-1001⨳⩥⨓≮⫘↔-100111111101=≮⫘↔-100111110100","layer":2},{"info":"≮⫘↔-1000101111100∑⇟⊟≮⫘↔-100111110100=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":814,"expression_no_base_symbol":"(($4572$⪒$4173$)⨐⩸⫘$1336$≹⇙⪍$2551$)≧⫂∧((↣≠⋷$3749$)+(⫛⫱⨽$1542$))⋫","expression":"((≮⫘↔1000111011100⪒≮⫘↔1000001001101)⨐⩸⫘≮⫘↔10100111000≹⇙⪍≮⫘↔100111110111)≧⫂∧((↣≠⋷≮⫘↔111010100101)+(⫛⫱⨽≮⫘↔11000000110))⋫","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1433,"operation_count":8,"complexity_ratio":179.125,"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":4572,"base":2},"right_expr":{"type":"numeric_atoms","value":4173,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1336,"base":2},"right_expr":{"type":"numeric_atoms","value":2551,"base":2}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3749,"base":2}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1542,"base":2}}}}},"used_operators":["JL8yIekQnl","Ph9nP6C5qx","fu6greOZ01","f6k1SAg4EE","AHs5Up7iyr","W4YGzv6Whe","Asc51vEJeQ","DlLNRPXxWL"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4572","layer":4},{"info":"number node, value=4173","layer":4},{"info":"compute binary expreesion, left_input=4572, right_input=4173, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8745","layer":3},{"info":"number node, value=1336","layer":4},{"info":"number node, value=2551","layer":4},{"info":"compute binary expreesion, left_input=1336, right_input=2551, 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=-8745, 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=3749","layer":4},{"info":"compute unary expreesion, input=3749, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1542","layer":4},{"info":"compute unary expreesion, input=1542, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1000111011100⪒≮⫘↔1000001001101)⨐⩸⫘≮⫘↔10100111000≹⇙⪍≮⫘↔100111110111)≧⫂∧((↣≠⋷≮⫘↔111010100101)+(⫛⫱⨽≮⫘↔11000000110))⋫=NaN","reverse_text":"NaN=((≮⫘↔1000111011100⪒≮⫘↔1000001001101)⨐⩸⫘≮⫘↔10100111000≹⇙⪍≮⫘↔100111110111)≧⫂∧((↣≠⋷≮⫘↔111010100101)+(⫛⫱⨽≮⫘↔11000000110))⋫","cot":[{"info":"≮⫘↔1000111011100⪒≮⫘↔1000001001101=≮⫘↔-10001000101001","layer":3},{"info":"≮⫘↔10100111000≹⇙⪍≮⫘↔100111110111=NaN","layer":3},{"info":"≮⫘↔-10001000101001⨐⩸⫘NaN=NaN","layer":2},{"info":"↣≠⋷≮⫘↔111010100101=NaN","layer":3},{"info":"⫛⫱⨽≮⫘↔11000000110=≮⫘↔0","layer":3},{"info":"NaN+≮⫘↔0=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":815,"expression_no_base_symbol":"$1693$⊴$7185$⪢($1247$⇼⇔∾$4792$)≧⫂∧(($6992$⩨$6506$)⩷∴(⋗⩬⋾$6377$))⫡⨏((⨵≀≌$1932$)⫡⨏$3642$≧⫂∧$4147$)⇷((⩦⩻⨪$1383$)⫥∨⫟($1618$/$3653$))","expression":"≮⫘↔11010011101⊴≮⫘↔1110000010001⪢(≮⫘↔10011011111⇼⇔∾≮⫘↔1001010111000)≧⫂∧((≮⫘↔1101101010000⩨≮⫘↔1100101101010)⩷∴(⋗⩬⋾≮⫘↔1100011101001))⫡⨏((⨵≀≌≮⫘↔11110001100)⫡⨏≮⫘↔111000111010≧⫂∧≮⫘↔1000000110011)⇷((⩦⩻⨪≮⫘↔10101100111)⫥∨⫟(≮⫘↔11001010010/≮⫘↔111001000101))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":302820,"operation_count":15,"complexity_ratio":20188.0,"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":1693,"base":2},"right_expr":{"type":"numeric_atoms","value":7185,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1247,"base":2},"right_expr":{"type":"numeric_atoms","value":4792,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6992,"base":2},"right_expr":{"type":"numeric_atoms","value":6506,"base":2}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":6377,"base":2}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1932,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3642,"base":2},"right_expr":{"type":"numeric_atoms","value":4147,"base":2}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1383,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1618,"base":2},"right_expr":{"type":"numeric_atoms","value":3653,"base":2}}}}},"used_operators":["QMFrweE19q","Ph9nP6C5qx","dWAJyo7jo9","Nsiff2A1zJ","tifHPKVTfV","9FxExcQeMw","2DlMacCsIx","DpFCA1CohY","mp7IySMOzn","srAu1WTS94","KYD54nUTWz","2td37pGCOC","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1693","layer":4},{"info":"number node, value=7185","layer":4},{"info":"compute binary expreesion, left_input=1693, right_input=7185, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1247","layer":4},{"info":"number node, value=4792","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=4792, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3545","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3545, 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=6992","layer":4},{"info":"number node, value=6506","layer":4},{"info":"compute binary expreesion, left_input=6992, right_input=6506, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=6377","layer":4},{"info":"compute unary expreesion, input=6377, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-19131","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-19131, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=38230","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=38230, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=37757","layer":1},{"info":"number node, value=1932","layer":4},{"info":"compute unary expreesion, input=1932, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5796","layer":3},{"info":"number node, value=3642","layer":4},{"info":"number node, value=4147","layer":4},{"info":"compute binary expreesion, left_input=3642, right_input=4147, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3674","layer":3},{"info":"compute binary expreesion, left_input=-5796, right_input=3674, 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=-20849","layer":2},{"info":"number node, value=1383","layer":4},{"info":"compute unary expreesion, input=1383, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1383","layer":3},{"info":"number node, value=1618","layer":4},{"info":"number node, value=3653","layer":4},{"info":"compute binary expreesion, left_input=1618, right_input=3653, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=1383, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-20849, 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=37757, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔11010011101⊴≮⫘↔1110000010001⪢(≮⫘↔10011011111⇼⇔∾≮⫘↔1001010111000)≧⫂∧((≮⫘↔1101101010000⩨≮⫘↔1100101101010)⩷∴(⋗⩬⋾≮⫘↔1100011101001))⫡⨏((⨵≀≌≮⫘↔11110001100)⫡⨏≮⫘↔111000111010≧⫂∧≮⫘↔1000000110011)⇷((⩦⩻⨪≮⫘↔10101100111)⫥∨⫟(≮⫘↔11001010010/≮⫘↔111001000101))=NaN","reverse_text":"NaN=≮⫘↔11010011101⊴≮⫘↔1110000010001⪢(≮⫘↔10011011111⇼⇔∾≮⫘↔1001010111000)≧⫂∧((≮⫘↔1101101010000⩨≮⫘↔1100101101010)⩷∴(⋗⩬⋾≮⫘↔1100011101001))⫡⨏((⨵≀≌≮⫘↔11110001100)⫡⨏≮⫘↔111000111010≧⫂∧≮⫘↔1000000110011)⇷((⩦⩻⨪≮⫘↔10101100111)⫥∨⫟(≮⫘↔11001010010/≮⫘↔111001000101))","cot":[{"info":"≮⫘↔11010011101⊴≮⫘↔1110000010001=NaN","layer":3},{"info":"≮⫘↔10011011111⇼⇔∾≮⫘↔1001010111000=≮⫘↔110111011001","layer":3},{"info":"NaN⪢≮⫘↔110111011001=NaN","layer":2},{"info":"≮⫘↔1101101010000⩨≮⫘↔1100101101010=≮⫘↔0","layer":3},{"info":"⋗⩬⋾≮⫘↔1100011101001=≮⫘↔-100101010111011","layer":3},{"info":"≮⫘↔0⩷∴≮⫘↔-100101010111011=≮⫘↔1001010101010110","layer":2},{"info":"NaN≧⫂∧≮⫘↔1001010101010110=≮⫘↔1001001101111101","layer":1},{"info":"⨵≀≌≮⫘↔11110001100=≮⫘↔-1011010100100","layer":3},{"info":"≮⫘↔111000111010≧⫂∧≮⫘↔1000000110011=≮⫘↔111001011010","layer":3},{"info":"≮⫘↔-1011010100100⫡⨏≮⫘↔111001011010=≮⫘↔-101000101110001","layer":2},{"info":"⩦⩻⨪≮⫘↔10101100111=≮⫘↔10101100111","layer":3},{"info":"≮⫘↔11001010010/≮⫘↔111001000101=≮⫘↔0","layer":3},{"info":"≮⫘↔10101100111⫥∨⫟≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔-101000101110001⇷NaN=NaN","layer":1},{"info":"≮⫘↔1001001101111101⫡⨏NaN=NaN","layer":0}]}
{"id":816,"expression_no_base_symbol":"($3420$+⇶⊼$4614$)≹⇙⪍($4204$⋷$2269$)≧⫂∧($3561$⋳⪒$1056$)⪛($6665$⋓$1808$)-($3435$⫥∨⫟$1089$)+⇶⊼($1310$⫥∨⫟$1775$)-(-($1629$+$5369$))","expression":"(≮⫘↔110101011100+⇶⊼≮⫘↔1001000000110)≹⇙⪍(≮⫘↔1000001101100⋷≮⫘↔100011011101)≧⫂∧(≮⫘↔110111101001⋳⪒≮⫘↔10000100000)⪛(≮⫘↔1101000001001⋓≮⫘↔11100010000)-(≮⫘↔110101101011⫥∨⫟≮⫘↔10001000001)+⇶⊼(≮⫘↔10100011110⫥∨⫟≮⫘↔11011101111)-(-(≮⫘↔11001011101+≮⫘↔1010011111001))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":111898,"operation_count":14,"complexity_ratio":7992.714285714285,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3420,"base":2},"right_expr":{"type":"numeric_atoms","value":4614,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4204,"base":2},"right_expr":{"type":"numeric_atoms","value":2269,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3561,"base":2},"right_expr":{"type":"numeric_atoms","value":1056,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6665,"base":2},"right_expr":{"type":"numeric_atoms","value":1808,"base":2}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3435,"base":2},"right_expr":{"type":"numeric_atoms","value":1089,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1310,"base":2},"right_expr":{"type":"numeric_atoms","value":1775,"base":2}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1629,"base":2},"right_expr":{"type":"numeric_atoms","value":5369,"base":2}}}}},"used_operators":["rysDP5nf3Z","Ph9nP6C5qx","AHs5Up7iyr","TpPTUOHfaN","23Mk6UjR3U","uFcxV4UQCh","12rbrZMWeM","T2fj7uvVaJ","KYD54nUTWz","t8gj7n24qd","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3420","layer":4},{"info":"number node, value=4614","layer":4},{"info":"compute binary expreesion, left_input=3420, right_input=4614, 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=4204","layer":4},{"info":"number node, value=2269","layer":4},{"info":"compute binary expreesion, left_input=4204, right_input=2269, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=334","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=334, 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=3561","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=3561, right_input=1056, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5779","layer":3},{"info":"number node, value=6665","layer":4},{"info":"number node, value=1808","layer":4},{"info":"compute binary expreesion, left_input=6665, right_input=1808, 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=5779, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, 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=3435","layer":4},{"info":"number node, value=1089","layer":4},{"info":"compute binary expreesion, left_input=3435, right_input=1089, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1310","layer":4},{"info":"number node, value=1775","layer":4},{"info":"compute binary expreesion, left_input=1310, right_input=1775, 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 = 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=1629","layer":4},{"info":"number node, value=5369","layer":4},{"info":"compute binary expreesion, left_input=1629, right_input=5369, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6998","layer":3},{"info":"compute unary expreesion, input=6998, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6998","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6998, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110101011100+⇶⊼≮⫘↔1001000000110)≹⇙⪍(≮⫘↔1000001101100⋷≮⫘↔100011011101)≧⫂∧(≮⫘↔110111101001⋳⪒≮⫘↔10000100000)⪛(≮⫘↔1101000001001⋓≮⫘↔11100010000)-(≮⫘↔110101101011⫥∨⫟≮⫘↔10001000001)+⇶⊼(≮⫘↔10100011110⫥∨⫟≮⫘↔11011101111)-(-(≮⫘↔11001011101+≮⫘↔1010011111001))=NaN","reverse_text":"NaN=(≮⫘↔110101011100+⇶⊼≮⫘↔1001000000110)≹⇙⪍(≮⫘↔1000001101100⋷≮⫘↔100011011101)≧⫂∧(≮⫘↔110111101001⋳⪒≮⫘↔10000100000)⪛(≮⫘↔1101000001001⋓≮⫘↔11100010000)-(≮⫘↔110101101011⫥∨⫟≮⫘↔10001000001)+⇶⊼(≮⫘↔10100011110⫥∨⫟≮⫘↔11011101111)-(-(≮⫘↔11001011101+≮⫘↔1010011111001))","cot":[{"info":"≮⫘↔110101011100+⇶⊼≮⫘↔1001000000110=NaN","layer":3},{"info":"≮⫘↔1000001101100⋷≮⫘↔100011011101=≮⫘↔101001110","layer":3},{"info":"NaN≹⇙⪍≮⫘↔101001110=NaN","layer":2},{"info":"≮⫘↔110111101001⋳⪒≮⫘↔10000100000=≮⫘↔1011010010011","layer":3},{"info":"≮⫘↔1101000001001⋓≮⫘↔11100010000=≮⫘↔0","layer":3},{"info":"≮⫘↔1011010010011⪛≮⫘↔0=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"≮⫘↔110101101011⫥∨⫟≮⫘↔10001000001=NaN","layer":3},{"info":"≮⫘↔10100011110⫥∨⫟≮⫘↔11011101111=NaN","layer":3},{"info":"NaN+⇶⊼NaN=NaN","layer":2},{"info":"≮⫘↔11001011101+≮⫘↔1010011111001=≮⫘↔1101101010110","layer":3},{"info":"-≮⫘↔1101101010110=≮⫘↔-1101101010110","layer":2},{"info":"NaN-≮⫘↔-1101101010110=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":817,"expression_no_base_symbol":"(($5943$⪨≂$2911$)⨟⋌⩍($1474$≧⫂∧$2169$)⇷(($1143$⨁⊸⫻)≦≮≮))⪮%⊝((↔$1368$)⨟⋌⩍($3837$⪒$6004$)⨓($1614$∼$1026$)⪢($5207$⊉≛↸$1233$))","expression":"((≮⫘↔1011100110111⪨≂≮⫘↔101101011111)⨟⋌⩍(≮⫘↔10111000010≧⫂∧≮⫘↔100001111001)⇷((≮⫘↔10001110111⨁⊸⫻)≦≮≮))⪮%⊝((↔≮⫘↔10101011000)⨟⋌⩍(≮⫘↔111011111101⪒≮⫘↔1011101110100)⨓(≮⫘↔11001001110∼≮⫘↔10000000010)⪢(≮⫘↔1010001010111⊉≛↸≮⫘↔10011010001))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10496,"operation_count":14,"complexity_ratio":749.7142857142857,"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":5943,"base":2},"right_expr":{"type":"numeric_atoms","value":2911,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1474,"base":2},"right_expr":{"type":"numeric_atoms","value":2169,"base":2}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1143,"base":2}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1368,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3837,"base":2},"right_expr":{"type":"numeric_atoms","value":6004,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1614,"base":2},"right_expr":{"type":"numeric_atoms","value":1026,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5207,"base":2},"right_expr":{"type":"numeric_atoms","value":1233,"base":2}}}}},"used_operators":["IWmyXbctLI","mp7IySMOzn","rGHVDoGpnC","sdazOOVcIp","Ph9nP6C5qx","D4vGDi5EA2","glklzrTFfD","3ViojmjbAp","ruOEQAzv1W","f6k1SAg4EE","dWAJyo7jo9","DyGG3AbaNP","DZ8iAZOCBD"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5943","layer":4},{"info":"number node, value=2911","layer":4},{"info":"compute binary expreesion, left_input=5943, right_input=2911, 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=6166","layer":3},{"info":"number node, value=1474","layer":4},{"info":"number node, value=2169","layer":4},{"info":"compute binary expreesion, left_input=1474, right_input=2169, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1696","layer":3},{"info":"compute binary expreesion, left_input=6166, right_input=1696, 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=1143","layer":4},{"info":"compute unary expreesion, input=1143, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1143","layer":3},{"info":"compute unary expreesion, input=1143, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3429","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3429, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=1368","layer":4},{"info":"compute unary expreesion, input=1368, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1095","layer":3},{"info":"number node, value=3837","layer":4},{"info":"number node, value=6004","layer":4},{"info":"compute binary expreesion, left_input=3837, right_input=6004, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9841","layer":3},{"info":"compute binary expreesion, left_input=-1095, right_input=-9841, 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=1614","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=1614, right_input=1026, 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=5207","layer":4},{"info":"number node, value=1233","layer":4},{"info":"compute binary expreesion, left_input=5207, right_input=1233, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10414","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10414, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1011100110111⪨≂≮⫘↔101101011111)⨟⋌⩍(≮⫘↔10111000010≧⫂∧≮⫘↔100001111001)⇷((≮⫘↔10001110111⨁⊸⫻)≦≮≮))⪮%⊝((↔≮⫘↔10101011000)⨟⋌⩍(≮⫘↔111011111101⪒≮⫘↔1011101110100)⨓(≮⫘↔11001001110∼≮⫘↔10000000010)⪢(≮⫘↔1010001010111⊉≛↸≮⫘↔10011010001))=NaN","reverse_text":"NaN=((≮⫘↔1011100110111⪨≂≮⫘↔101101011111)⨟⋌⩍(≮⫘↔10111000010≧⫂∧≮⫘↔100001111001)⇷((≮⫘↔10001110111⨁⊸⫻)≦≮≮))⪮%⊝((↔≮⫘↔10101011000)⨟⋌⩍(≮⫘↔111011111101⪒≮⫘↔1011101110100)⨓(≮⫘↔11001001110∼≮⫘↔10000000010)⪢(≮⫘↔1010001010111⊉≛↸≮⫘↔10011010001))","cot":[{"info":"≮⫘↔1011100110111⪨≂≮⫘↔101101011111=≮⫘↔1100000010110","layer":3},{"info":"≮⫘↔10111000010≧⫂∧≮⫘↔100001111001=≮⫘↔11010100000","layer":3},{"info":"≮⫘↔1100000010110⨟⋌⩍≮⫘↔11010100000=NaN","layer":2},{"info":"≮⫘↔10001110111⨁⊸⫻=≮⫘↔10001110111","layer":3},{"info":"≮⫘↔10001110111≦≮≮=≮⫘↔-110101100101","layer":2},{"info":"NaN⇷≮⫘↔-110101100101=NaN","layer":1},{"info":"↔≮⫘↔10101011000=≮⫘↔-10001000111","layer":3},{"info":"≮⫘↔111011111101⪒≮⫘↔1011101110100=≮⫘↔-10011001110001","layer":3},{"info":"≮⫘↔-10001000111⨟⋌⩍≮⫘↔-10011001110001=NaN","layer":2},{"info":"≮⫘↔11001001110∼≮⫘↔10000000010=NaN","layer":3},{"info":"≮⫘↔1010001010111⊉≛↸≮⫘↔10011010001=≮⫘↔10100010101110","layer":3},{"info":"NaN⪢≮⫘↔10100010101110=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":818,"expression_no_base_symbol":"($3971$∲⫓$1289$⋷$1184$↬$1584$⨵⪆($3064$⪮%⊝$2526$⫡⨏$1680$⊭↱$5453$))*(($7254$+$2953$)∑⇟⊟($2759$⨸⪁$1265$)+$5191$⩷∴$1099$+⇶⊼(⨵≀≌$6818$))","expression":"(≮⫘↔111110000011∲⫓≮⫘↔10100001001⋷≮⫘↔10010100000↬≮⫘↔11000110000⨵⪆(≮⫘↔101111111000⪮%⊝≮⫘↔100111011110⫡⨏≮⫘↔11010010000⊭↱≮⫘↔1010101001101))*((≮⫘↔1110001010110+≮⫘↔101110001001)∑⇟⊟(≮⫘↔101011000111⨸⪁≮⫘↔10011110001)+≮⫘↔1010001000111⩷∴≮⫘↔10001001011+⇶⊼(⨵≀≌≮⫘↔1101010100010))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":45,"operation_count":15,"complexity_ratio":3.0,"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":3971,"base":2},"right_expr":{"type":"numeric_atoms","value":1289,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1184,"base":2},"right_expr":{"type":"numeric_atoms","value":1584,"base":2}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3064,"base":2},"right_expr":{"type":"numeric_atoms","value":2526,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1680,"base":2},"right_expr":{"type":"numeric_atoms","value":5453,"base":2}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7254,"base":2},"right_expr":{"type":"numeric_atoms","value":2953,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2759,"base":2},"right_expr":{"type":"numeric_atoms","value":1265,"base":2}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5191,"base":2},"right_expr":{"type":"numeric_atoms","value":1099,"base":2}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":6818,"base":2}}}}},"used_operators":["9HNa5Wba9A","2DQ55sFlQl","23Mk6UjR3U","i8ToyICDmI","B5M0gjZbta","QMFrweE19q","IWmyXbctLI","COABgblf1C","W4YGzv6Whe","U7g4x0WXJJ","g55IO6H4Gj","TpPTUOHfaN","9FxExcQeMw","srAu1WTS94"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","AHs5Up7iyr","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3971","layer":4},{"info":"number node, value=1289","layer":4},{"info":"compute binary expreesion, left_input=3971, right_input=1289, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1184","layer":4},{"info":"number node, value=1584","layer":4},{"info":"compute binary expreesion, left_input=1184, right_input=1584, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":2},{"info":"number node, value=3064","layer":4},{"info":"number node, value=2526","layer":4},{"info":"compute binary expreesion, left_input=3064, right_input=2526, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6444","layer":3},{"info":"number node, value=1680","layer":4},{"info":"number node, value=5453","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=5453, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7551","layer":3},{"info":"compute binary expreesion, left_input=6444, right_input=7551, 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=48105","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=48105, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=7254","layer":4},{"info":"number node, value=2953","layer":4},{"info":"compute binary expreesion, left_input=7254, right_input=2953, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10207","layer":3},{"info":"number node, value=2759","layer":4},{"info":"number node, value=1265","layer":4},{"info":"compute binary expreesion, left_input=2759, right_input=1265, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8048","layer":3},{"info":"compute binary expreesion, left_input=10207, right_input=8048, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=5191","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=5191, right_input=1099, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8152","layer":3},{"info":"number node, value=6818","layer":4},{"info":"compute unary expreesion, input=6818, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-20454","layer":3},{"info":"compute binary expreesion, left_input=8152, right_input=-20454, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔111110000011∲⫓≮⫘↔10100001001⋷≮⫘↔10010100000↬≮⫘↔11000110000⨵⪆(≮⫘↔101111111000⪮%⊝≮⫘↔100111011110⫡⨏≮⫘↔11010010000⊭↱≮⫘↔1010101001101))*((≮⫘↔1110001010110+≮⫘↔101110001001)∑⇟⊟(≮⫘↔101011000111⨸⪁≮⫘↔10011110001)+≮⫘↔1010001000111⩷∴≮⫘↔10001001011+⇶⊼(⨵≀≌≮⫘↔1101010100010))=NaN","reverse_text":"NaN=(≮⫘↔111110000011∲⫓≮⫘↔10100001001⋷≮⫘↔10010100000↬≮⫘↔11000110000⨵⪆(≮⫘↔101111111000⪮%⊝≮⫘↔100111011110⫡⨏≮⫘↔11010010000⊭↱≮⫘↔1010101001101))*((≮⫘↔1110001010110+≮⫘↔101110001001)∑⇟⊟(≮⫘↔101011000111⨸⪁≮⫘↔10011110001)+≮⫘↔1010001000111⩷∴≮⫘↔10001001011+⇶⊼(⨵≀≌≮⫘↔1101010100010))","cot":[{"info":"≮⫘↔111110000011∲⫓≮⫘↔10100001001=≮⫘↔0","layer":3},{"info":"≮⫘↔10010100000↬≮⫘↔11000110000=NaN","layer":3},{"info":"≮⫘↔0⋷NaN=≮⫘↔0","layer":2},{"info":"≮⫘↔101111111000⪮%⊝≮⫘↔100111011110=≮⫘↔1100100101100","layer":3},{"info":"≮⫘↔11010010000⊭↱≮⫘↔1010101001101=≮⫘↔1110101111111","layer":3},{"info":"≮⫘↔1100100101100⫡⨏≮⫘↔1110101111111=≮⫘↔1011101111101001","layer":2},{"info":"≮⫘↔0⨵⪆≮⫘↔1011101111101001=≮⫘↔10100000","layer":1},{"info":"≮⫘↔1110001010110+≮⫘↔101110001001=≮⫘↔10011111011111","layer":3},{"info":"≮⫘↔101011000111⨸⪁≮⫘↔10011110001=≮⫘↔1111101110000","layer":3},{"info":"≮⫘↔10011111011111∑⇟⊟≮⫘↔1111101110000=NaN","layer":2},{"info":"≮⫘↔1010001000111⩷∴≮⫘↔10001001011=≮⫘↔1111111011000","layer":3},{"info":"⨵≀≌≮⫘↔1101010100010=≮⫘↔-100111111100110","layer":3},{"info":"≮⫘↔1111111011000+⇶⊼≮⫘↔-100111111100110=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"≮⫘↔10100000*NaN=NaN","layer":0}]}
{"id":819,"expression_no_base_symbol":"+⊝⨔($1380$⨽$6076$⩨$1773$⊴$1311$)⊴(↥(⇁⨣⪵$3382$))","expression":"+⊝⨔(≮⫘↔10101100100⨽≮⫘↔1011110111100⩨≮⫘↔11011101101⊴≮⫘↔10100011111)⊴(↥(⇁⨣⪵≮⫘↔110100110110))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3119,"operation_count":7,"complexity_ratio":445.57142857142856,"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":1380,"base":2},"right_expr":{"type":"numeric_atoms","value":6076,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1773,"base":2},"right_expr":{"type":"numeric_atoms","value":1311,"base":2}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3382,"base":2}}}}},"used_operators":["DhbWaqg5eL","Nsiff2A1zJ","2DlMacCsIx","8HhzD0ZcuI","A8NUZmVepG","inkyxCbjAn"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","k8jYdgA6NY","B5M0gjZbta"],"result":"≮⫘↔10111110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1380","layer":4},{"info":"number node, value=6076","layer":4},{"info":"compute binary expreesion, left_input=1380, right_input=6076, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5730114","layer":3},{"info":"number node, value=1773","layer":4},{"info":"number node, value=1311","layer":4},{"info":"compute binary expreesion, left_input=1773, right_input=1311, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5730114, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=3382","layer":4},{"info":"compute unary expreesion, input=3382, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":2,"result_base":2,"text":"+⊝⨔(≮⫘↔10101100100⨽≮⫘↔1011110111100⩨≮⫘↔11011101101⊴≮⫘↔10100011111)⊴(↥(⇁⨣⪵≮⫘↔110100110110))=≮⫘↔10111110010","reverse_text":"≮⫘↔10111110010=+⊝⨔(≮⫘↔10101100100⨽≮⫘↔1011110111100⩨≮⫘↔11011101101⊴≮⫘↔10100011111)⊴(↥(⇁⨣⪵≮⫘↔110100110110))","cot":[{"info":"≮⫘↔10101100100⨽≮⫘↔1011110111100=≮⫘↔-10101110110111101000010","layer":3},{"info":"≮⫘↔11011101101⊴≮⫘↔10100011111=NaN","layer":3},{"info":"≮⫘↔-10101110110111101000010⩨NaN=NaN","layer":2},{"info":"⇁⨣⪵≮⫘↔110100110110=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"+⊝⨔NaN=≮⫘↔10111110010","layer":0}]}
{"id":820,"expression_no_base_symbol":"⪲⇎((∥⊫$2664$⩷∴$2264$)⪒(⫓⪴($2188$∲⫓$3148$)))","expression":"⪲⇎((∥⊫≮⫘↔101001101000⩷∴≮⫘↔100011011000)⪒(⫓⪴(≮⫘↔100010001100∲⫓≮⫘↔110001001100)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":18,"operation_count":6,"complexity_ratio":3.0,"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":2664,"base":2},"right_expr":{"type":"numeric_atoms","value":2264,"base":2}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2188,"base":2},"right_expr":{"type":"numeric_atoms","value":3148,"base":2}}}}},"used_operators":["XPYlsWDdGa","f6k1SAg4EE","P8v4zCKN1o","9FxExcQeMw","eLxqMNBOBk","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-110011001000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2664","layer":4},{"info":"number node, value=2264","layer":4},{"info":"compute binary expreesion, left_input=2664, right_input=2264, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=768","layer":3},{"info":"compute unary expreesion, input=768, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1636","layer":2},{"info":"number node, value=2188","layer":4},{"info":"number node, value=3148","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=3148, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1636, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1636","layer":1},{"info":"compute unary expreesion, input=-1636, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-3272","layer":0}],"base":2,"result_base":2,"text":"⪲⇎((∥⊫≮⫘↔101001101000⩷∴≮⫘↔100011011000)⪒(⫓⪴(≮⫘↔100010001100∲⫓≮⫘↔110001001100)))=≮⫘↔-110011001000","reverse_text":"≮⫘↔-110011001000=⪲⇎((∥⊫≮⫘↔101001101000⩷∴≮⫘↔100011011000)⪒(⫓⪴(≮⫘↔100010001100∲⫓≮⫘↔110001001100)))","cot":[{"info":"≮⫘↔101001101000⩷∴≮⫘↔100011011000=≮⫘↔1100000000","layer":3},{"info":"∥⊫≮⫘↔1100000000=≮⫘↔11001100100","layer":2},{"info":"≮⫘↔100010001100∲⫓≮⫘↔110001001100=≮⫘↔0","layer":3},{"info":"⫓⪴≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔11001100100⪒≮⫘↔0=≮⫘↔-11001100100","layer":1},{"info":"⪲⇎≮⫘↔-11001100100=≮⫘↔-110011001000","layer":0}]}
{"id":821,"expression_no_base_symbol":"(↩(↥$9058$⋥≓≎$2225$))≧⫂∧((($5001$⪒$3056$)⨽$1877$⩚⊴⇥$1908$)≎⊠⪸(($3756$⫌⩹⨱)⫸⊐$1181$⨳⩥⨓$4296$))","expression":"(↩(↥≮⫘↔10001101100010⋥≓≎≮⫘↔100010110001))≧⫂∧(((≮⫘↔1001110001001⪒≮⫘↔101111110000)⨽≮⫘↔11101010101⩚⊴⇥≮⫘↔11101110100)≎⊠⪸((≮⫘↔111010101100⫌⩹⨱)⫸⊐≮⫘↔10010011101⨳⩥⨓≮⫘↔1000011001000))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8490,"operation_count":11,"complexity_ratio":771.8181818181819,"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":9058,"base":2},"right_expr":{"type":"numeric_atoms","value":2225,"base":2}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5001,"base":2},"right_expr":{"type":"numeric_atoms","value":3056,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1877,"base":2},"right_expr":{"type":"numeric_atoms","value":1908,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3756,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1181,"base":2},"right_expr":{"type":"numeric_atoms","value":4296,"base":2}}}}},"used_operators":["Ph9nP6C5qx","jLgFTUHLKL","A8NUZmVepG","Qy55tPpLXF","bJkvcejdHO","8HhzD0ZcuI","f6k1SAg4EE","NTOWxs364D","mqXw5SEYmG","EBcxylXtPf","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"Inf","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=9058","layer":4},{"info":"number node, value=2225","layer":4},{"info":"compute binary expreesion, left_input=9058, right_input=2225, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-4575","layer":3},{"info":"compute unary expreesion, input=-4575, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=15","layer":2},{"info":"compute unary expreesion, input=15, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4664","layer":1},{"info":"number node, value=5001","layer":4},{"info":"number node, value=3056","layer":4},{"info":"compute binary expreesion, left_input=5001, right_input=3056, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8057","layer":3},{"info":"number node, value=1877","layer":4},{"info":"number node, value=1908","layer":4},{"info":"compute binary expreesion, left_input=1877, right_input=1908, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3906","layer":3},{"info":"compute binary expreesion, left_input=-8057, right_input=-3906, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-194732715","layer":2},{"info":"number node, value=3756","layer":4},{"info":"compute unary expreesion, input=3756, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8913","layer":3},{"info":"number node, value=1181","layer":4},{"info":"number node, value=4296","layer":4},{"info":"compute binary expreesion, left_input=1181, right_input=4296, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3115","layer":3},{"info":"compute binary expreesion, left_input=8913, right_input=3115, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12335","layer":2},{"info":"compute binary expreesion, left_input=-194732715, right_input=12335, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=4664, right_input=inf, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=inf","layer":0}],"base":2,"result_base":2,"text":"(↩(↥≮⫘↔10001101100010⋥≓≎≮⫘↔100010110001))≧⫂∧(((≮⫘↔1001110001001⪒≮⫘↔101111110000)⨽≮⫘↔11101010101⩚⊴⇥≮⫘↔11101110100)≎⊠⪸((≮⫘↔111010101100⫌⩹⨱)⫸⊐≮⫘↔10010011101⨳⩥⨓≮⫘↔1000011001000))=Inf","reverse_text":"Inf=(↩(↥≮⫘↔10001101100010⋥≓≎≮⫘↔100010110001))≧⫂∧(((≮⫘↔1001110001001⪒≮⫘↔101111110000)⨽≮⫘↔11101010101⩚⊴⇥≮⫘↔11101110100)≎⊠⪸((≮⫘↔111010101100⫌⩹⨱)⫸⊐≮⫘↔10010011101⨳⩥⨓≮⫘↔1000011001000))","cot":[{"info":"≮⫘↔10001101100010⋥≓≎≮⫘↔100010110001=≮⫘↔-1000111011111","layer":3},{"info":"↥≮⫘↔-1000111011111=≮⫘↔1111","layer":2},{"info":"↩≮⫘↔1111=≮⫘↔1001000111000","layer":1},{"info":"≮⫘↔1001110001001⪒≮⫘↔101111110000=≮⫘↔-1111101111001","layer":3},{"info":"≮⫘↔11101010101⩚⊴⇥≮⫘↔11101110100=≮⫘↔-111101000010","layer":3},{"info":"≮⫘↔-1111101111001⨽≮⫘↔-111101000010=≮⫘↔-1011100110110110001010101011","layer":2},{"info":"≮⫘↔111010101100⫌⩹⨱=≮⫘↔10001011010001","layer":3},{"info":"≮⫘↔10010011101⨳⩥⨓≮⫘↔1000011001000=≮⫘↔110000101011","layer":3},{"info":"≮⫘↔10001011010001⫸⊐≮⫘↔110000101011=≮⫘↔11000000101111","layer":2},{"info":"≮⫘↔-1011100110110110001010101011≎⊠⪸≮⫘↔11000000101111=Inf","layer":1},{"info":"≮⫘↔1001000111000≧⫂∧Inf=Inf","layer":0}]}
{"id":822,"expression_no_base_symbol":"∥⊫($1271$+$1165$)⩚⊴⇥($5160$⨳⩥⨓$4143$)↺((⫓⪴$3358$)⪨≂($2405$⫌⩹⨱))","expression":"∥⊫(≮⫘↔10011110111+≮⫘↔10010001101)⩚⊴⇥(≮⫘↔1010000101000⨳⩥⨓≮⫘↔1000000101111)↺((⫓⪴≮⫘↔110100011110)⪨≂(≮⫘↔100101100101⫌⩹⨱))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3383,"operation_count":8,"complexity_ratio":422.875,"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":1271,"base":2},"right_expr":{"type":"numeric_atoms","value":1165,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5160,"base":2},"right_expr":{"type":"numeric_atoms","value":4143,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3358,"base":2}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2405,"base":2}}}}},"used_operators":["P8v4zCKN1o","7j4O788W3g","NTOWxs364D","W4YGzv6Whe","nCS4ZIUYfx","sdazOOVcIp","eLxqMNBOBk","EBcxylXtPf"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"≮⫘↔1010101111111001001001100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1271","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=1271, right_input=1165, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2436","layer":3},{"info":"number node, value=5160","layer":4},{"info":"number node, value=4143","layer":4},{"info":"compute binary expreesion, left_input=5160, right_input=4143, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1017","layer":3},{"info":"compute binary expreesion, left_input=2436, right_input=-1017, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-1540","layer":2},{"info":"number node, value=3358","layer":4},{"info":"compute unary expreesion, input=3358, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=11276164","layer":3},{"info":"number node, value=2405","layer":4},{"info":"compute unary expreesion, input=2405, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6211","layer":3},{"info":"compute binary expreesion, left_input=11276164, right_input=6211, 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=22540008","layer":2},{"info":"compute binary expreesion, left_input=-1540, right_input=22540008, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=22540008","layer":1},{"info":"compute unary expreesion, input=22540008, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=22540876","layer":0}],"base":2,"result_base":2,"text":"∥⊫(≮⫘↔10011110111+≮⫘↔10010001101)⩚⊴⇥(≮⫘↔1010000101000⨳⩥⨓≮⫘↔1000000101111)↺((⫓⪴≮⫘↔110100011110)⪨≂(≮⫘↔100101100101⫌⩹⨱))=≮⫘↔1010101111111001001001100","reverse_text":"≮⫘↔1010101111111001001001100=∥⊫(≮⫘↔10011110111+≮⫘↔10010001101)⩚⊴⇥(≮⫘↔1010000101000⨳⩥⨓≮⫘↔1000000101111)↺((⫓⪴≮⫘↔110100011110)⪨≂(≮⫘↔100101100101⫌⩹⨱))","cot":[{"info":"≮⫘↔10011110111+≮⫘↔10010001101=≮⫘↔100110000100","layer":3},{"info":"≮⫘↔1010000101000⨳⩥⨓≮⫘↔1000000101111=≮⫘↔-1111111001","layer":3},{"info":"≮⫘↔100110000100⩚⊴⇥≮⫘↔-1111111001=≮⫘↔-11000000100","layer":2},{"info":"⫓⪴≮⫘↔110100011110=≮⫘↔101011000000111110000100","layer":3},{"info":"≮⫘↔100101100101⫌⩹⨱=≮⫘↔1100001000011","layer":3},{"info":"≮⫘↔101011000000111110000100⪨≂≮⫘↔1100001000011=≮⫘↔1010101111110111011101000","layer":2},{"info":"≮⫘↔-11000000100↺≮⫘↔1010101111110111011101000=≮⫘↔1010101111110111011101000","layer":1},{"info":"∥⊫≮⫘↔1010101111110111011101000=≮⫘↔1010101111111001001001100","layer":0}]}
{"id":823,"expression_no_base_symbol":"(($5503$⇼⇔∾$3077$⨸⪁(⨞⊢$2109$))⨪↰⇹($6843$⩚⊴⇥$2054$⩚⊴⇥($1929$⋷$5958$)))∀⇚≩(($2962$⨽$1802$∲⫓(⊄⩳↩$6694$))⨎(↯⪼$1793$)≧⫂∧($4260$⋫))","expression":"((≮⫘↔1010101111111⇼⇔∾≮⫘↔110000000101⨸⪁(⨞⊢≮⫘↔100000111101))⨪↰⇹(≮⫘↔1101010111011⩚⊴⇥≮⫘↔100000000110⩚⊴⇥(≮⫘↔11110001001⋷≮⫘↔1011101000110)))∀⇚≩((≮⫘↔101110010010⨽≮⫘↔11100001010∲⫓(⊄⩳↩≮⫘↔1101000100110))⨎(↯⪼≮⫘↔11100000001)≧⫂∧(≮⫘↔1000010100100⋫))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":82628,"operation_count":15,"complexity_ratio":5508.533333333334,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5503,"base":2},"right_expr":{"type":"numeric_atoms","value":3077,"base":2}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2109,"base":2}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6843,"base":2},"right_expr":{"type":"numeric_atoms","value":2054,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1929,"base":2},"right_expr":{"type":"numeric_atoms","value":5958,"base":2}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2962,"base":2},"right_expr":{"type":"numeric_atoms","value":1802,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":6694,"base":2}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1793,"base":2}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":4260,"base":2}}}}},"used_operators":["LRNGc0VcxI","tmPS8pqC7x","g55IO6H4Gj","tifHPKVTfV","xUOZtlo3hN","NTOWxs364D","23Mk6UjR3U","rJVOvQCfKK","i8ToyICDmI","8HhzD0ZcuI","8w2t5hMYqp","Ph9nP6C5qx","8jW3W4yZS5","JL8yIekQnl"],"dependent_operators":["X99M06cbEe","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5503","layer":4},{"info":"number node, value=3077","layer":4},{"info":"compute binary expreesion, left_input=5503, right_input=3077, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2426","layer":3},{"info":"number node, value=2109","layer":4},{"info":"compute unary expreesion, input=2109, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2283","layer":3},{"info":"compute binary expreesion, left_input=-2426, right_input=-2283, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-9418","layer":2},{"info":"number node, value=6843","layer":4},{"info":"number node, value=2054","layer":4},{"info":"compute binary expreesion, left_input=6843, right_input=2054, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9018","layer":3},{"info":"number node, value=1929","layer":4},{"info":"number node, value=5958","layer":4},{"info":"compute binary expreesion, left_input=1929, right_input=5958, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9987","layer":3},{"info":"compute binary expreesion, left_input=-9018, right_input=9987, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-1090","layer":2},{"info":"compute binary expreesion, left_input=-9418, right_input=-1090, 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=-9418","layer":1},{"info":"number node, value=2962","layer":4},{"info":"number node, value=1802","layer":4},{"info":"compute binary expreesion, left_input=2962, right_input=1802, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-26324424","layer":3},{"info":"number node, value=6694","layer":4},{"info":"compute unary expreesion, input=6694, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-20082","layer":3},{"info":"compute binary expreesion, left_input=-26324424, right_input=-20082, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-26324424","layer":2},{"info":"number node, value=1793","layer":4},{"info":"compute unary expreesion, input=1793, 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=4260","layer":4},{"info":"compute unary expreesion, input=4260, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4260","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=4260, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3787","layer":2},{"info":"compute binary expreesion, left_input=-26324424, right_input=3787, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3787","layer":1},{"info":"compute binary expreesion, left_input=-9418, right_input=3787, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010101111111⇼⇔∾≮⫘↔110000000101⨸⪁(⨞⊢≮⫘↔100000111101))⨪↰⇹(≮⫘↔1101010111011⩚⊴⇥≮⫘↔100000000110⩚⊴⇥(≮⫘↔11110001001⋷≮⫘↔1011101000110)))∀⇚≩((≮⫘↔101110010010⨽≮⫘↔11100001010∲⫓(⊄⩳↩≮⫘↔1101000100110))⨎(↯⪼≮⫘↔11100000001)≧⫂∧(≮⫘↔1000010100100⋫))=NaN","reverse_text":"NaN=((≮⫘↔1010101111111⇼⇔∾≮⫘↔110000000101⨸⪁(⨞⊢≮⫘↔100000111101))⨪↰⇹(≮⫘↔1101010111011⩚⊴⇥≮⫘↔100000000110⩚⊴⇥(≮⫘↔11110001001⋷≮⫘↔1011101000110)))∀⇚≩((≮⫘↔101110010010⨽≮⫘↔11100001010∲⫓(⊄⩳↩≮⫘↔1101000100110))⨎(↯⪼≮⫘↔11100000001)≧⫂∧(≮⫘↔1000010100100⋫))","cot":[{"info":"≮⫘↔1010101111111⇼⇔∾≮⫘↔110000000101=≮⫘↔-100101111010","layer":3},{"info":"⨞⊢≮⫘↔100000111101=≮⫘↔-100011101011","layer":3},{"info":"≮⫘↔-100101111010⨸⪁≮⫘↔-100011101011=≮⫘↔-10010011001010","layer":2},{"info":"≮⫘↔1101010111011⩚⊴⇥≮⫘↔100000000110=≮⫘↔-10001100111010","layer":3},{"info":"≮⫘↔11110001001⋷≮⫘↔1011101000110=≮⫘↔10011100000011","layer":3},{"info":"≮⫘↔-10001100111010⩚⊴⇥≮⫘↔10011100000011=≮⫘↔-10001000010","layer":2},{"info":"≮⫘↔-10010011001010⨪↰⇹≮⫘↔-10001000010=≮⫘↔-10010011001010","layer":1},{"info":"≮⫘↔101110010010⨽≮⫘↔11100001010=≮⫘↔-1100100011010110111001000","layer":3},{"info":"⊄⩳↩≮⫘↔1101000100110=≮⫘↔-100111001110010","layer":3},{"info":"≮⫘↔-1100100011010110111001000∲⫓≮⫘↔-100111001110010=≮⫘↔-1100100011010110111001000","layer":2},{"info":"↯⪼≮⫘↔11100000001=≮⫘↔-10101","layer":3},{"info":"≮⫘↔1000010100100⋫=≮⫘↔1000010100100","layer":3},{"info":"≮⫘↔-10101≧⫂∧≮⫘↔1000010100100=≮⫘↔111011001011","layer":2},{"info":"≮⫘↔-1100100011010110111001000⨎≮⫘↔111011001011=≮⫘↔111011001011","layer":1},{"info":"≮⫘↔-10010011001010∀⇚≩≮⫘↔111011001011=NaN","layer":0}]}
{"id":824,"expression_no_base_symbol":"($1357$⨸⪁$5923$⨸⪁(⨈⫕$3424$))⪮%⊝(≦∁$5604$⇷$7425$)↙(($2286$⪨≂$2537$)⋳⪒($2663$⨵⪆$6475$)⨳⩥⨓(⨞⊢$1827$)⪮%⊝(⨑⩽⪐$1438$))","expression":"(≮⫘↔10101001101⨸⪁≮⫘↔1011100100011⨸⪁(⨈⫕≮⫘↔110101100000))⪮%⊝(≦∁≮⫘↔1010111100100⇷≮⫘↔1110100000001)↙((≮⫘↔100011101110⪨≂≮⫘↔100111101001)⋳⪒(≮⫘↔101001100111⨵⪆≮⫘↔1100101001011)⨳⩥⨓(⨞⊢≮⫘↔11100100011)⪮%⊝(⨑⩽⪐≮⫘↔10110011110))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":81337,"operation_count":14,"complexity_ratio":5809.785714285715,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1357,"base":2},"right_expr":{"type":"numeric_atoms","value":5923,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3424,"base":2}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5604,"base":2},"right_expr":{"type":"numeric_atoms","value":7425,"base":2}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2286,"base":2},"right_expr":{"type":"numeric_atoms","value":2537,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2663,"base":2},"right_expr":{"type":"numeric_atoms","value":6475,"base":2}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1827,"base":2}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1438,"base":2}}}}},"used_operators":["yyfyN0ffXY","IWmyXbctLI","g55IO6H4Gj","megm06wKyl","9ICcGScMcE","mp7IySMOzn","nCS4ZIUYfx","12rbrZMWeM","sdazOOVcIp","2DQ55sFlQl","xUOZtlo3hN","AF7qkfDlqP"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"≮⫘↔-1110010010101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1357","layer":4},{"info":"number node, value=5923","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=5923, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14560","layer":3},{"info":"number node, value=3424","layer":4},{"info":"compute unary expreesion, input=3424, 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=14560, right_input=-21, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=29078","layer":2},{"info":"number node, value=5604","layer":4},{"info":"number node, value=7425","layer":4},{"info":"compute binary expreesion, left_input=5604, right_input=7425, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=14850","layer":3},{"info":"compute unary expreesion, input=14850, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=14850","layer":2},{"info":"compute binary expreesion, left_input=29078, right_input=14850, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=58472","layer":1},{"info":"number node, value=2286","layer":4},{"info":"number node, value=2537","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=2537, 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=-400","layer":3},{"info":"number node, value=2663","layer":4},{"info":"number node, value=6475","layer":4},{"info":"compute binary expreesion, left_input=2663, right_input=6475, 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=-400, right_input=160, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1247","layer":2},{"info":"number node, value=1827","layer":4},{"info":"compute unary expreesion, input=1827, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2001","layer":3},{"info":"number node, value=1438","layer":4},{"info":"compute unary expreesion, input=1438, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1165","layer":3},{"info":"compute binary expreesion, left_input=-2001, right_input=-1165, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-3686","layer":2},{"info":"compute binary expreesion, left_input=-1247, right_input=-3686, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2439","layer":1},{"info":"compute binary expreesion, left_input=58472, right_input=-2439, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7317","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10101001101⨸⪁≮⫘↔1011100100011⨸⪁(⨈⫕≮⫘↔110101100000))⪮%⊝(≦∁≮⫘↔1010111100100⇷≮⫘↔1110100000001)↙((≮⫘↔100011101110⪨≂≮⫘↔100111101001)⋳⪒(≮⫘↔101001100111⨵⪆≮⫘↔1100101001011)⨳⩥⨓(⨞⊢≮⫘↔11100100011)⪮%⊝(⨑⩽⪐≮⫘↔10110011110))=≮⫘↔-1110010010101","reverse_text":"≮⫘↔-1110010010101=(≮⫘↔10101001101⨸⪁≮⫘↔1011100100011⨸⪁(⨈⫕≮⫘↔110101100000))⪮%⊝(≦∁≮⫘↔1010111100100⇷≮⫘↔1110100000001)↙((≮⫘↔100011101110⪨≂≮⫘↔100111101001)⋳⪒(≮⫘↔101001100111⨵⪆≮⫘↔1100101001011)⨳⩥⨓(⨞⊢≮⫘↔11100100011)⪮%⊝(⨑⩽⪐≮⫘↔10110011110))","cot":[{"info":"≮⫘↔10101001101⨸⪁≮⫘↔1011100100011=≮⫘↔11100011100000","layer":3},{"info":"⨈⫕≮⫘↔110101100000=≮⫘↔-10101","layer":3},{"info":"≮⫘↔11100011100000⨸⪁≮⫘↔-10101=≮⫘↔111000110010110","layer":2},{"info":"≮⫘↔1010111100100⇷≮⫘↔1110100000001=≮⫘↔11101000000010","layer":3},{"info":"≦∁≮⫘↔11101000000010=≮⫘↔11101000000010","layer":2},{"info":"≮⫘↔111000110010110⪮%⊝≮⫘↔11101000000010=≮⫘↔1110010001101000","layer":1},{"info":"≮⫘↔100011101110⪨≂≮⫘↔100111101001=≮⫘↔-110010000","layer":3},{"info":"≮⫘↔101001100111⨵⪆≮⫘↔1100101001011=≮⫘↔10100000","layer":3},{"info":"≮⫘↔-110010000⋳⪒≮⫘↔10100000=≮⫘↔-10011011111","layer":2},{"info":"⨞⊢≮⫘↔11100100011=≮⫘↔-11111010001","layer":3},{"info":"⨑⩽⪐≮⫘↔10110011110=≮⫘↔-10010001101","layer":3},{"info":"≮⫘↔-11111010001⪮%⊝≮⫘↔-10010001101=≮⫘↔-111001100110","layer":2},{"info":"≮⫘↔-10011011111⨳⩥⨓≮⫘↔-111001100110=≮⫘↔-100110000111","layer":1},{"info":"≮⫘↔1110010001101000↙≮⫘↔-100110000111=≮⫘↔-1110010010101","layer":0}]}
{"id":825,"expression_no_base_symbol":"(≦∁$1500$⨽$1711$)⫡⨏(⨰⫟⨤$1846$)⪛($4848$∀⇚≩$1225$)⋷(⫛⫱⨽$6494$)⋓($3964$%$3215$)≭(↽≂($4970$⊭↱$2602$))","expression":"(≦∁≮⫘↔10111011100⨽≮⫘↔11010101111)⫡⨏(⨰⫟⨤≮⫘↔11100110110)⪛(≮⫘↔1001011110000∀⇚≩≮⫘↔10011001001)⋷(⫛⫱⨽≮⫘↔1100101011110)⋓(≮⫘↔111101111100%≮⫘↔110010001111)≭(↽≂(≮⫘↔1001101101010⊭↱≮⫘↔101000101010))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":65911,"operation_count":13,"complexity_ratio":5070.076923076923,"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":1500,"base":2},"right_expr":{"type":"numeric_atoms","value":1711,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1846,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4848,"base":2},"right_expr":{"type":"numeric_atoms","value":1225,"base":2}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":6494,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3964,"base":2},"right_expr":{"type":"numeric_atoms","value":3215,"base":2}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4970,"base":2},"right_expr":{"type":"numeric_atoms","value":2602,"base":2}}}}},"used_operators":["23Mk6UjR3U","QMFrweE19q","9ICcGScMcE","8HhzD0ZcuI","uFcxV4UQCh","Tw270M8GLb","LRNGc0VcxI","rxpJgHHUmx","T2fj7uvVaJ","DlLNRPXxWL","k8jYdgA6NY","u6S6b8DprG","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","X99M06cbEe","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1500","layer":4},{"info":"number node, value=1711","layer":4},{"info":"compute binary expreesion, left_input=1500, right_input=1711, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6753819","layer":3},{"info":"compute unary expreesion, input=-6753819, 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=1846","layer":4},{"info":"compute unary expreesion, input=1846, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=4848","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=4848, right_input=1225, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, 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=6494","layer":4},{"info":"compute unary expreesion, input=6494, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=3964","layer":4},{"info":"number node, value=3215","layer":4},{"info":"compute binary expreesion, left_input=3964, right_input=3215, op_id = k8jYdgA6NY binary_op_definition= 'None', output=749","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=749, 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=4970","layer":4},{"info":"number node, value=2602","layer":4},{"info":"compute binary expreesion, left_input=4970, right_input=2602, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4731","layer":3},{"info":"compute unary expreesion, input=-4731, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=9462","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=9462, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≦∁≮⫘↔10111011100⨽≮⫘↔11010101111)⫡⨏(⨰⫟⨤≮⫘↔11100110110)⪛(≮⫘↔1001011110000∀⇚≩≮⫘↔10011001001)⋷(⫛⫱⨽≮⫘↔1100101011110)⋓(≮⫘↔111101111100%≮⫘↔110010001111)≭(↽≂(≮⫘↔1001101101010⊭↱≮⫘↔101000101010))=NaN","reverse_text":"NaN=(≦∁≮⫘↔10111011100⨽≮⫘↔11010101111)⫡⨏(⨰⫟⨤≮⫘↔11100110110)⪛(≮⫘↔1001011110000∀⇚≩≮⫘↔10011001001)⋷(⫛⫱⨽≮⫘↔1100101011110)⋓(≮⫘↔111101111100%≮⫘↔110010001111)≭(↽≂(≮⫘↔1001101101010⊭↱≮⫘↔101000101010))","cot":[{"info":"≮⫘↔10111011100⨽≮⫘↔11010101111=≮⫘↔-11001110000111000011011","layer":3},{"info":"≦∁≮⫘↔-11001110000111000011011=≮⫘↔1000011","layer":2},{"info":"⨰⫟⨤≮⫘↔11100110110=NaN","layer":3},{"info":"≮⫘↔1001011110000∀⇚≩≮⫘↔10011001001=NaN","layer":3},{"info":"NaN⪛NaN=NaN","layer":2},{"info":"≮⫘↔1000011⫡⨏NaN=NaN","layer":1},{"info":"⫛⫱⨽≮⫘↔1100101011110=≮⫘↔0","layer":3},{"info":"≮⫘↔111101111100%≮⫘↔110010001111=≮⫘↔1011101101","layer":3},{"info":"≮⫘↔0⋓≮⫘↔1011101101=≮⫘↔0","layer":2},{"info":"≮⫘↔1001101101010⊭↱≮⫘↔101000101010=≮⫘↔-1001001111011","layer":3},{"info":"↽≂≮⫘↔-1001001111011=≮⫘↔10010011110110","layer":2},{"info":"≮⫘↔0≭≮⫘↔10010011110110=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":826,"expression_no_base_symbol":"((≉$2180$⇷$4329$)⪒(⊄⩳↩$3508$)↬($7613$⫸⊐$4765$))⋳⪒((($1054$⋫)⊭↱$3648$⪄$5399$)⩠)","expression":"((≉≮⫘↔100010000100⇷≮⫘↔1000011101001)⪒(⊄⩳↩≮⫘↔110110110100)↬(≮⫘↔1110110111101⫸⊐≮⫘↔1001010011101))⋳⪒(((≮⫘↔10000011110⋫)⊭↱≮⫘↔111001000000⪄≮⫘↔1010100010111)⩠)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":31738,"operation_count":11,"complexity_ratio":2885.2727272727275,"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":2180,"base":2},"right_expr":{"type":"numeric_atoms","value":4329,"base":2}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3508,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7613,"base":2},"right_expr":{"type":"numeric_atoms","value":4765,"base":2}}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1054,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3648,"base":2},"right_expr":{"type":"numeric_atoms","value":5399,"base":2}}}}},"used_operators":["12rbrZMWeM","f6k1SAg4EE","e1ybzncUwg","mp7IySMOzn","B5M0gjZbta","8w2t5hMYqp","mqXw5SEYmG","sJAwomhLZr","COABgblf1C","JL8yIekQnl","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2180","layer":4},{"info":"number node, value=4329","layer":4},{"info":"compute binary expreesion, left_input=2180, right_input=4329, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8658","layer":3},{"info":"compute unary expreesion, input=8658, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=9189","layer":2},{"info":"number node, value=3508","layer":4},{"info":"compute unary expreesion, input=3508, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-10524","layer":3},{"info":"number node, value=7613","layer":4},{"info":"number node, value=4765","layer":4},{"info":"compute binary expreesion, left_input=7613, right_input=4765, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=18935","layer":3},{"info":"compute binary expreesion, left_input=-10524, right_input=18935, 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=9189, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1054","layer":4},{"info":"compute unary expreesion, input=1054, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1054","layer":3},{"info":"number node, value=3648","layer":4},{"info":"number node, value=5399","layer":4},{"info":"compute binary expreesion, left_input=3648, right_input=5399, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-557589","layer":3},{"info":"compute binary expreesion, left_input=1054, right_input=-557589, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1117281","layer":2},{"info":"compute unary expreesion, input=-1117281, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=4469333","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4469333, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≉≮⫘↔100010000100⇷≮⫘↔1000011101001)⪒(⊄⩳↩≮⫘↔110110110100)↬(≮⫘↔1110110111101⫸⊐≮⫘↔1001010011101))⋳⪒(((≮⫘↔10000011110⋫)⊭↱≮⫘↔111001000000⪄≮⫘↔1010100010111)⩠)=NaN","reverse_text":"NaN=((≉≮⫘↔100010000100⇷≮⫘↔1000011101001)⪒(⊄⩳↩≮⫘↔110110110100)↬(≮⫘↔1110110111101⫸⊐≮⫘↔1001010011101))⋳⪒(((≮⫘↔10000011110⋫)⊭↱≮⫘↔111001000000⪄≮⫘↔1010100010111)⩠)","cot":[{"info":"≮⫘↔100010000100⇷≮⫘↔1000011101001=≮⫘↔10000111010010","layer":3},{"info":"≉≮⫘↔10000111010010=≮⫘↔10001111100101","layer":2},{"info":"⊄⩳↩≮⫘↔110110110100=≮⫘↔-10100100011100","layer":3},{"info":"≮⫘↔1110110111101⫸⊐≮⫘↔1001010011101=≮⫘↔100100111110111","layer":3},{"info":"≮⫘↔-10100100011100↬≮⫘↔100100111110111=NaN","layer":2},{"info":"≮⫘↔10001111100101⪒NaN=NaN","layer":1},{"info":"≮⫘↔10000011110⋫=≮⫘↔10000011110","layer":3},{"info":"≮⫘↔111001000000⪄≮⫘↔1010100010111=≮⫘↔-10001000001000010101","layer":3},{"info":"≮⫘↔10000011110⊭↱≮⫘↔-10001000001000010101=≮⫘↔-100010000110001100001","layer":2},{"info":"≮⫘↔-100010000110001100001⩠=≮⫘↔10001000011001001010101","layer":1},{"info":"NaN⋳⪒≮⫘↔10001000011001001010101=NaN","layer":0}]}
{"id":827,"expression_no_base_symbol":"(($1818$≭$4787$⫸⊐($1566$⪨≂$3013$))⨎($2902$⊘)⋝⋈⪟($1355$⫩⊇))∑⇟⊟((($5007$∸)↺($3198$↛⩡⫤))⨰(($2051$⋥≓≎$2233$)⩷∴($2603$⫸⊐$3379$)))","expression":"((≮⫘↔11100011010≭≮⫘↔1001010110011⫸⊐(≮⫘↔11000011110⪨≂≮⫘↔101111000101))⨎(≮⫘↔101101010110⊘)⋝⋈⪟(≮⫘↔10101001011⫩⊇))∑⇟⊟(((≮⫘↔1001110001111∸)↺(≮⫘↔110001111110↛⩡⫤))⨰((≮⫘↔100000000011⋥≓≎≮⫘↔100010111001)⩷∴(≮⫘↔101000101011⫸⊐≮⫘↔110100110011)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9983,"operation_count":15,"complexity_ratio":665.5333333333333,"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":1818,"base":2},"right_expr":{"type":"numeric_atoms","value":4787,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1566,"base":2},"right_expr":{"type":"numeric_atoms","value":3013,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2902,"base":2}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1355,"base":2}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":5007,"base":2}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3198,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2051,"base":2},"right_expr":{"type":"numeric_atoms","value":2233,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2603,"base":2},"right_expr":{"type":"numeric_atoms","value":3379,"base":2}}}}},"used_operators":["U7g4x0WXJJ","rJVOvQCfKK","mqXw5SEYmG","rxpJgHHUmx","sdazOOVcIp","2DDjHMKMc0","gu96TGCTMs","BjRHVeLaeN","eewbuw0ToL","7j4O788W3g","o20kRiQErp","FU0Cs4j7VP","9FxExcQeMw","Qy55tPpLXF"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1818","layer":4},{"info":"number node, value=4787","layer":4},{"info":"compute binary expreesion, left_input=1818, right_input=4787, 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=1566","layer":4},{"info":"number node, value=3013","layer":4},{"info":"compute binary expreesion, left_input=1566, right_input=3013, 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=-2792","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2792, 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=2902","layer":4},{"info":"compute unary expreesion, input=2902, 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=1355","layer":4},{"info":"compute unary expreesion, input=1355, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1313","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1313, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":1},{"info":"number node, value=5007","layer":4},{"info":"compute unary expreesion, input=5007, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=3198","layer":4},{"info":"compute unary expreesion, input=3198, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-478987","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-478987, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-478987","layer":2},{"info":"number node, value=2051","layer":4},{"info":"number node, value=2233","layer":4},{"info":"compute binary expreesion, left_input=2051, right_input=2233, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2448","layer":3},{"info":"number node, value=2603","layer":4},{"info":"number node, value=3379","layer":4},{"info":"compute binary expreesion, left_input=2603, right_input=3379, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13391","layer":3},{"info":"compute binary expreesion, left_input=2448, right_input=13391, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-21918","layer":2},{"info":"compute binary expreesion, left_input=-478987, right_input=-21918, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-457059","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-457059, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11100011010≭≮⫘↔1001010110011⫸⊐(≮⫘↔11000011110⪨≂≮⫘↔101111000101))⨎(≮⫘↔101101010110⊘)⋝⋈⪟(≮⫘↔10101001011⫩⊇))∑⇟⊟(((≮⫘↔1001110001111∸)↺(≮⫘↔110001111110↛⩡⫤))⨰((≮⫘↔100000000011⋥≓≎≮⫘↔100010111001)⩷∴(≮⫘↔101000101011⫸⊐≮⫘↔110100110011)))=NaN","reverse_text":"NaN=((≮⫘↔11100011010≭≮⫘↔1001010110011⫸⊐(≮⫘↔11000011110⪨≂≮⫘↔101111000101))⨎(≮⫘↔101101010110⊘)⋝⋈⪟(≮⫘↔10101001011⫩⊇))∑⇟⊟(((≮⫘↔1001110001111∸)↺(≮⫘↔110001111110↛⩡⫤))⨰((≮⫘↔100000000011⋥≓≎≮⫘↔100010111001)⩷∴(≮⫘↔101000101011⫸⊐≮⫘↔110100110011)))","cot":[{"info":"≮⫘↔11100011010≭≮⫘↔1001010110011=NaN","layer":3},{"info":"≮⫘↔11000011110⪨≂≮⫘↔101111000101=≮⫘↔-101011101000","layer":3},{"info":"NaN⫸⊐≮⫘↔-101011101000=NaN","layer":2},{"info":"≮⫘↔101101010110⊘=≮⫘↔0","layer":3},{"info":"≮⫘↔10101001011⫩⊇=≮⫘↔-10100100001","layer":3},{"info":"≮⫘↔0⋝⋈⪟≮⫘↔-10100100001=≮⫘↔0","layer":2},{"info":"NaN⨎≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔1001110001111∸=≮⫘↔10110001","layer":3},{"info":"≮⫘↔110001111110↛⩡⫤=≮⫘↔-1110100111100001011","layer":3},{"info":"≮⫘↔10110001↺≮⫘↔-1110100111100001011=≮⫘↔-1110100111100001011","layer":2},{"info":"≮⫘↔100000000011⋥≓≎≮⫘↔100010111001=≮⫘↔100110010000","layer":3},{"info":"≮⫘↔101000101011⫸⊐≮⫘↔110100110011=≮⫘↔11010001001111","layer":3},{"info":"≮⫘↔100110010000⩷∴≮⫘↔11010001001111=≮⫘↔-101010110011110","layer":2},{"info":"≮⫘↔-1110100111100001011⨰≮⫘↔-101010110011110=≮⫘↔-1101111100101100011","layer":1},{"info":"≮⫘↔0∑⇟⊟≮⫘↔-1101111100101100011=NaN","layer":0}]}
{"id":828,"expression_no_base_symbol":"((∥⊫$6098$)%$1030$-$1119$⋷(⊙↵-$1286$)⋓$9394$∼$5345$)⇷(($1691$/$2443$)⋳⪒(⫓⪴$1138$)↺($4232$⊉≛↸$2716$)⪮%⊝($1697$⨸⪁$1164$))","expression":"((∥⊫≮⫘↔1011111010010)%≮⫘↔10000000110-≮⫘↔10001011111⋷(⊙↵-≮⫘↔10100000110)⋓≮⫘↔10010010110010∼≮⫘↔1010011100001)⇷((≮⫘↔11010011011/≮⫘↔100110001011)⋳⪒(⫓⪴≮⫘↔10001110010)↺(≮⫘↔1000010001000⊉≛↸≮⫘↔101010011100)⪮%⊝(≮⫘↔11010100001⨸⪁≮⫘↔10010001100))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4604,"operation_count":15,"complexity_ratio":306.93333333333334,"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":6098,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1030,"base":2},"right_expr":{"type":"numeric_atoms","value":1119,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1286,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":9394,"base":2},"right_expr":{"type":"numeric_atoms","value":5345,"base":2}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1691,"base":2},"right_expr":{"type":"numeric_atoms","value":2443,"base":2}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1138,"base":2}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4232,"base":2},"right_expr":{"type":"numeric_atoms","value":2716,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1697,"base":2},"right_expr":{"type":"numeric_atoms","value":1164,"base":2}}}}},"used_operators":["mp7IySMOzn","23Mk6UjR3U","k8jYdgA6NY","P8v4zCKN1o","rysDP5nf3Z","T2fj7uvVaJ","oWn0xqSxBt","DyGG3AbaNP","7j4O788W3g","12rbrZMWeM","XhwjNDsVaA","eLxqMNBOBk","IWmyXbctLI","DZ8iAZOCBD","g55IO6H4Gj"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"≮⫘↔1000011010111000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6098","layer":4},{"info":"compute unary expreesion, input=6098, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6966","layer":3},{"info":"number node, value=1030","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=1119, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-89","layer":3},{"info":"compute binary expreesion, left_input=6966, right_input=-89, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-65","layer":2},{"info":"number node, value=1286","layer":4},{"info":"compute unary expreesion, input=1286, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=9394","layer":4},{"info":"number node, value=5345","layer":4},{"info":"compute binary expreesion, left_input=9394, right_input=5345, 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=-1, 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=-65, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=130","layer":1},{"info":"number node, value=1691","layer":4},{"info":"number node, value=2443","layer":4},{"info":"compute binary expreesion, left_input=1691, right_input=2443, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1138","layer":4},{"info":"compute unary expreesion, input=1138, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1295044","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1295044, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1295331","layer":2},{"info":"number node, value=4232","layer":4},{"info":"number node, value=2716","layer":4},{"info":"compute binary expreesion, left_input=4232, right_input=2716, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8464","layer":3},{"info":"number node, value=1697","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=1697, right_input=1164, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5722","layer":3},{"info":"compute binary expreesion, left_input=8464, right_input=5722, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=17244","layer":2},{"info":"compute binary expreesion, left_input=-1295331, right_input=17244, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=17244","layer":1},{"info":"compute binary expreesion, left_input=130, right_input=17244, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=34488","layer":0}],"base":2,"result_base":2,"text":"((∥⊫≮⫘↔1011111010010)%≮⫘↔10000000110-≮⫘↔10001011111⋷(⊙↵-≮⫘↔10100000110)⋓≮⫘↔10010010110010∼≮⫘↔1010011100001)⇷((≮⫘↔11010011011/≮⫘↔100110001011)⋳⪒(⫓⪴≮⫘↔10001110010)↺(≮⫘↔1000010001000⊉≛↸≮⫘↔101010011100)⪮%⊝(≮⫘↔11010100001⨸⪁≮⫘↔10010001100))=≮⫘↔1000011010111000","reverse_text":"≮⫘↔1000011010111000=((∥⊫≮⫘↔1011111010010)%≮⫘↔10000000110-≮⫘↔10001011111⋷(⊙↵-≮⫘↔10100000110)⋓≮⫘↔10010010110010∼≮⫘↔1010011100001)⇷((≮⫘↔11010011011/≮⫘↔100110001011)⋳⪒(⫓⪴≮⫘↔10001110010)↺(≮⫘↔1000010001000⊉≛↸≮⫘↔101010011100)⪮%⊝(≮⫘↔11010100001⨸⪁≮⫘↔10010001100))","cot":[{"info":"∥⊫≮⫘↔1011111010010=≮⫘↔1101100110110","layer":3},{"info":"≮⫘↔10000000110-≮⫘↔10001011111=≮⫘↔-1011001","layer":3},{"info":"≮⫘↔1101100110110%≮⫘↔-1011001=≮⫘↔-1000001","layer":2},{"info":"⊙↵-≮⫘↔10100000110=≮⫘↔-1","layer":3},{"info":"≮⫘↔10010010110010∼≮⫘↔1010011100001=NaN","layer":3},{"info":"≮⫘↔-1⋓NaN=NaN","layer":2},{"info":"≮⫘↔-1000001⋷NaN=≮⫘↔10000010","layer":1},{"info":"≮⫘↔11010011011/≮⫘↔100110001011=≮⫘↔0","layer":3},{"info":"⫓⪴≮⫘↔10001110010=≮⫘↔100111100001011000100","layer":3},{"info":"≮⫘↔0⋳⪒≮⫘↔100111100001011000100=≮⫘↔-100111100001111100011","layer":2},{"info":"≮⫘↔1000010001000⊉≛↸≮⫘↔101010011100=≮⫘↔10000100010000","layer":3},{"info":"≮⫘↔11010100001⨸⪁≮⫘↔10010001100=≮⫘↔1011001011010","layer":3},{"info":"≮⫘↔10000100010000⪮%⊝≮⫘↔1011001011010=≮⫘↔100001101011100","layer":2},{"info":"≮⫘↔-100111100001111100011↺≮⫘↔100001101011100=≮⫘↔100001101011100","layer":1},{"info":"≮⫘↔10000010⇷≮⫘↔100001101011100=≮⫘↔1000011010111000","layer":0}]}
{"id":829,"expression_no_base_symbol":"($2948$⇼⇔∾$1544$)≹⇙⪍($2657$+$2542$)≧⫂∧($6239$⋳⪒$1539$⪄$2373$⨎$3016$)-$2710$⪛$2280$≧⫂∧($1355$⋝⋈⪟$7514$)⪒$1498$⨟⋌⩍$4502$⨳⩥⨓$5908$⩷∴$5245$","expression":"(≮⫘↔101110000100⇼⇔∾≮⫘↔11000001000)≹⇙⪍(≮⫘↔101001100001+≮⫘↔100111101110)≧⫂∧(≮⫘↔1100001011111⋳⪒≮⫘↔11000000011⪄≮⫘↔100101000101⨎≮⫘↔101111001000)-≮⫘↔101010010110⪛≮⫘↔100011101000≧⫂∧(≮⫘↔10101001011⋝⋈⪟≮⫘↔1110101011010)⪒≮⫘↔10111011010⨟⋌⩍≮⫘↔1000110010110⨳⩥⨓≮⫘↔1011100010100⩷∴≮⫘↔1010001111101","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":131,"operation_count":15,"complexity_ratio":8.733333333333333,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2948,"base":2},"right_expr":{"type":"numeric_atoms","value":1544,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2657,"base":2},"right_expr":{"type":"numeric_atoms","value":2542,"base":2}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6239,"base":2},"right_expr":{"type":"numeric_atoms","value":1539,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2373,"base":2},"right_expr":{"type":"numeric_atoms","value":3016,"base":2}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2710,"base":2},"right_expr":{"type":"numeric_atoms","value":2280,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1355,"base":2},"right_expr":{"type":"numeric_atoms","value":7514,"base":2}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1498,"base":2},"right_expr":{"type":"numeric_atoms","value":4502,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5908,"base":2},"right_expr":{"type":"numeric_atoms","value":5245,"base":2}}}}},"used_operators":["rysDP5nf3Z","Ph9nP6C5qx","AHs5Up7iyr","tifHPKVTfV","W4YGzv6Whe","SUmda5xLS4","12rbrZMWeM","rJVOvQCfKK","f6k1SAg4EE","uFcxV4UQCh","2DDjHMKMc0","nCS4ZIUYfx","rGHVDoGpnC","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2948","layer":4},{"info":"number node, value=1544","layer":4},{"info":"compute binary expreesion, left_input=2948, right_input=1544, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1404","layer":3},{"info":"number node, value=2657","layer":4},{"info":"number node, value=2542","layer":4},{"info":"compute binary expreesion, left_input=2657, right_input=2542, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5199","layer":3},{"info":"compute binary expreesion, left_input=-1404, right_input=5199, 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=6239","layer":4},{"info":"number node, value=1539","layer":4},{"info":"compute binary expreesion, left_input=6239, right_input=1539, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=10652","layer":3},{"info":"number node, value=2373","layer":4},{"info":"number node, value=3016","layer":4},{"info":"compute binary expreesion, left_input=2373, right_input=3016, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3016","layer":3},{"info":"compute binary expreesion, left_input=10652, right_input=3016, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1584649","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1584649, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=2710","layer":4},{"info":"number node, value=2280","layer":4},{"info":"compute binary expreesion, left_input=2710, right_input=2280, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=430","layer":3},{"info":"number node, value=1355","layer":4},{"info":"number node, value=7514","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=7514, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1355","layer":3},{"info":"compute binary expreesion, left_input=430, right_input=1355, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=882","layer":2},{"info":"number node, value=1498","layer":4},{"info":"number node, value=4502","layer":4},{"info":"compute binary expreesion, left_input=1498, right_input=4502, 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=5908","layer":4},{"info":"number node, value=5245","layer":4},{"info":"compute binary expreesion, left_input=5908, right_input=5245, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1294","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1294, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=882, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101110000100⇼⇔∾≮⫘↔11000001000)≹⇙⪍(≮⫘↔101001100001+≮⫘↔100111101110)≧⫂∧(≮⫘↔1100001011111⋳⪒≮⫘↔11000000011⪄≮⫘↔100101000101⨎≮⫘↔101111001000)-≮⫘↔101010010110⪛≮⫘↔100011101000≧⫂∧(≮⫘↔10101001011⋝⋈⪟≮⫘↔1110101011010)⪒≮⫘↔10111011010⨟⋌⩍≮⫘↔1000110010110⨳⩥⨓≮⫘↔1011100010100⩷∴≮⫘↔1010001111101=NaN","reverse_text":"NaN=(≮⫘↔101110000100⇼⇔∾≮⫘↔11000001000)≹⇙⪍(≮⫘↔101001100001+≮⫘↔100111101110)≧⫂∧(≮⫘↔1100001011111⋳⪒≮⫘↔11000000011⪄≮⫘↔100101000101⨎≮⫘↔101111001000)-≮⫘↔101010010110⪛≮⫘↔100011101000≧⫂∧(≮⫘↔10101001011⋝⋈⪟≮⫘↔1110101011010)⪒≮⫘↔10111011010⨟⋌⩍≮⫘↔1000110010110⨳⩥⨓≮⫘↔1011100010100⩷∴≮⫘↔1010001111101","cot":[{"info":"≮⫘↔101110000100⇼⇔∾≮⫘↔11000001000=≮⫘↔-10101111100","layer":3},{"info":"≮⫘↔101001100001+≮⫘↔100111101110=≮⫘↔1010001001111","layer":3},{"info":"≮⫘↔-10101111100≹⇙⪍≮⫘↔1010001001111=NaN","layer":2},{"info":"≮⫘↔1100001011111⋳⪒≮⫘↔11000000011=≮⫘↔10100110011100","layer":3},{"info":"≮⫘↔100101000101⨎≮⫘↔101111001000=≮⫘↔101111001000","layer":3},{"info":"≮⫘↔10100110011100⪄≮⫘↔101111001000=≮⫘↔-110000010111000001001","layer":2},{"info":"NaN≧⫂∧≮⫘↔-110000010111000001001=NaN","layer":1},{"info":"≮⫘↔101010010110⪛≮⫘↔100011101000=≮⫘↔110101110","layer":3},{"info":"≮⫘↔10101001011⋝⋈⪟≮⫘↔1110101011010=≮⫘↔10101001011","layer":3},{"info":"≮⫘↔110101110≧⫂∧≮⫘↔10101001011=≮⫘↔1101110010","layer":2},{"info":"≮⫘↔10111011010⨟⋌⩍≮⫘↔1000110010110=NaN","layer":3},{"info":"≮⫘↔1011100010100⩷∴≮⫘↔1010001111101=≮⫘↔10100001110","layer":3},{"info":"NaN⨳⩥⨓≮⫘↔10100001110=NaN","layer":2},{"info":"≮⫘↔1101110010⪒NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":830,"expression_no_base_symbol":"(($1227$⨽$1871$)⨓($1312$∧)⪐)⋫","expression":"((≮⫘↔10011001011⨽≮⫘↔11101001111)⨓(≮⫘↔10100100000∧)⪐)⋫","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1252,"operation_count":5,"complexity_ratio":250.4,"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":1227,"base":2},"right_expr":{"type":"numeric_atoms","value":1871,"base":2}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1312,"base":2}}}}},"used_operators":["JL8yIekQnl","eH2TOUuTDT","3ViojmjbAp","8HhzD0ZcuI","z63VuFQld9"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1227","layer":4},{"info":"number node, value=1871","layer":4},{"info":"compute binary expreesion, left_input=1227, right_input=1871, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4520886","layer":3},{"info":"number node, value=1312","layer":4},{"info":"compute unary expreesion, input=1312, 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=-4520886, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10011001011⨽≮⫘↔11101001111)⨓(≮⫘↔10100100000∧)⪐)⋫=NaN","reverse_text":"NaN=((≮⫘↔10011001011⨽≮⫘↔11101001111)⨓(≮⫘↔10100100000∧)⪐)⋫","cot":[{"info":"≮⫘↔10011001011⨽≮⫘↔11101001111=≮⫘↔-10001001111101110110110","layer":3},{"info":"≮⫘↔10100100000∧=NaN","layer":3},{"info":"≮⫘↔-10001001111101110110110⨓NaN=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":831,"expression_no_base_symbol":"($3496$∼$1509$⨰(⫛⫱⨽$2607$)⋥≓≎(($4611$⊠≄⫣)⊭↱($1130$⊉≛↸$5082$)))⇷(($4215$⊪)⪘⫢($3566$⫥∨⫟$1004$)⋝⋈⪟($4204$⫥∨⫟$7218$)⪘⫢($1842$⨐⩸⫘$1599$))","expression":"(≮⫘↔110110101000∼≮⫘↔10111100101⨰(⫛⫱⨽≮⫘↔101000101111)⋥≓≎((≮⫘↔1001000000011⊠≄⫣)⊭↱(≮⫘↔10001101010⊉≛↸≮⫘↔1001111011010)))⇷((≮⫘↔1000001110111⊪)⪘⫢(≮⫘↔110111101110⫥∨⫟≮⫘↔1111101100)⋝⋈⪟(≮⫘↔1000001101100⫥∨⫟≮⫘↔1110000110010)⪘⫢(≮⫘↔11100110010⨐⩸⫘≮⫘↔11000111111))","highest_n_order":4,"priority_hierarchical_complexity":9,"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":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3496,"base":2},"right_expr":{"type":"numeric_atoms","value":1509,"base":2}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2607,"base":2}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4611,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1130,"base":2},"right_expr":{"type":"numeric_atoms","value":5082,"base":2}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4215,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3566,"base":2},"right_expr":{"type":"numeric_atoms","value":1004,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4204,"base":2},"right_expr":{"type":"numeric_atoms","value":7218,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1842,"base":2},"right_expr":{"type":"numeric_atoms","value":1599,"base":2}}}}},"used_operators":["mp7IySMOzn","Qy55tPpLXF","eewbuw0ToL","DyGG3AbaNP","DlLNRPXxWL","COABgblf1C","DIvbN7qnHd","DZ8iAZOCBD","2DDjHMKMc0","oacrs7FA3X","zVYPLywUTj","KYD54nUTWz","fu6greOZ01"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3496","layer":4},{"info":"number node, value=1509","layer":4},{"info":"compute binary expreesion, left_input=3496, right_input=1509, 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=2607","layer":4},{"info":"compute unary expreesion, input=2607, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=4611","layer":4},{"info":"compute unary expreesion, input=4611, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1130","layer":4},{"info":"number node, value=5082","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=5082, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2260","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2260, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4525","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4525, 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=4215","layer":4},{"info":"compute unary expreesion, input=4215, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=3566","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=3566, right_input=1004, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=4204","layer":4},{"info":"number node, value=7218","layer":4},{"info":"compute binary expreesion, left_input=4204, right_input=7218, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1842","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=1842, right_input=1599, 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 = 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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110110101000∼≮⫘↔10111100101⨰(⫛⫱⨽≮⫘↔101000101111)⋥≓≎((≮⫘↔1001000000011⊠≄⫣)⊭↱(≮⫘↔10001101010⊉≛↸≮⫘↔1001111011010)))⇷((≮⫘↔1000001110111⊪)⪘⫢(≮⫘↔110111101110⫥∨⫟≮⫘↔1111101100)⋝⋈⪟(≮⫘↔1000001101100⫥∨⫟≮⫘↔1110000110010)⪘⫢(≮⫘↔11100110010⨐⩸⫘≮⫘↔11000111111))=NaN","reverse_text":"NaN=(≮⫘↔110110101000∼≮⫘↔10111100101⨰(⫛⫱⨽≮⫘↔101000101111)⋥≓≎((≮⫘↔1001000000011⊠≄⫣)⊭↱(≮⫘↔10001101010⊉≛↸≮⫘↔1001111011010)))⇷((≮⫘↔1000001110111⊪)⪘⫢(≮⫘↔110111101110⫥∨⫟≮⫘↔1111101100)⋝⋈⪟(≮⫘↔1000001101100⫥∨⫟≮⫘↔1110000110010)⪘⫢(≮⫘↔11100110010⨐⩸⫘≮⫘↔11000111111))","cot":[{"info":"≮⫘↔110110101000∼≮⫘↔10111100101=NaN","layer":3},{"info":"⫛⫱⨽≮⫘↔101000101111=≮⫘↔0","layer":3},{"info":"NaN⨰≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔1001000000011⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔10001101010⊉≛↸≮⫘↔1001111011010=≮⫘↔100011010100","layer":3},{"info":"≮⫘↔0⊭↱≮⫘↔100011010100=≮⫘↔1000110101101","layer":2},{"info":"NaN⋥≓≎≮⫘↔1000110101101=≮⫘↔1000011","layer":1},{"info":"≮⫘↔1000001110111⊪=≮⫘↔0","layer":3},{"info":"≮⫘↔110111101110⫥∨⫟≮⫘↔1111101100=NaN","layer":3},{"info":"≮⫘↔0⪘⫢NaN=NaN","layer":2},{"info":"≮⫘↔1000001101100⫥∨⫟≮⫘↔1110000110010=NaN","layer":3},{"info":"≮⫘↔11100110010⨐⩸⫘≮⫘↔11000111111=NaN","layer":3},{"info":"NaN⪘⫢NaN=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"≮⫘↔1000011⇷NaN=NaN","layer":0}]}
{"id":832,"expression_no_base_symbol":"($4758$∀⇚≩$1116$↛⩡⫤)∀⇚≩($1172$≎⊠⪸$2161$⋳⪒($1234$*$5848$))⋷$9272$⩚⊴⇥$2034$⊭↱$6270$⫥∨⫟$4073$-($2582$⫥∨⫟$6847$/$4934$⇷$8407$)","expression":"(≮⫘↔1001010010110∀⇚≩≮⫘↔10001011100↛⩡⫤)∀⇚≩(≮⫘↔10010010100≎⊠⪸≮⫘↔100001110001⋳⪒(≮⫘↔10011010010*≮⫘↔1011011011000))⋷≮⫘↔10010000111000⩚⊴⇥≮⫘↔11111110010⊭↱≮⫘↔1100001111110⫥∨⫟≮⫘↔111111101001-(≮⫘↔101000010110⫥∨⫟≮⫘↔1101010111111/≮⫘↔1001101000110⇷≮⫘↔10000011010111)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":104284,"operation_count":14,"complexity_ratio":7448.857142857143,"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":4758,"base":2},"right_expr":{"type":"numeric_atoms","value":1116,"base":2}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1172,"base":2},"right_expr":{"type":"numeric_atoms","value":2161,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1234,"base":2},"right_expr":{"type":"numeric_atoms","value":5848,"base":2}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":9272,"base":2},"right_expr":{"type":"numeric_atoms","value":2034,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6270,"base":2},"right_expr":{"type":"numeric_atoms","value":4073,"base":2}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2582,"base":2},"right_expr":{"type":"numeric_atoms","value":6847,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4934,"base":2},"right_expr":{"type":"numeric_atoms","value":8407,"base":2}}}}},"used_operators":["23Mk6UjR3U","LRNGc0VcxI","FU0Cs4j7VP","12rbrZMWeM","bJkvcejdHO","9HNa5Wba9A","rysDP5nf3Z","COABgblf1C","NTOWxs364D","KYD54nUTWz","XhwjNDsVaA","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4758","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=4758, right_input=1116, 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 = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":2},{"info":"number node, value=1172","layer":4},{"info":"number node, value=2161","layer":4},{"info":"compute binary expreesion, left_input=1172, right_input=2161, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=303075","layer":3},{"info":"number node, value=1234","layer":4},{"info":"number node, value=5848","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=5848, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7216432","layer":3},{"info":"compute binary expreesion, left_input=303075, right_input=7216432, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-6610569","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6610569, 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=9272","layer":4},{"info":"number node, value=2034","layer":4},{"info":"compute binary expreesion, left_input=9272, right_input=2034, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11427","layer":3},{"info":"number node, value=6270","layer":4},{"info":"number node, value=4073","layer":4},{"info":"compute binary expreesion, left_input=6270, right_input=4073, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-11427, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=2582","layer":4},{"info":"number node, value=6847","layer":4},{"info":"compute binary expreesion, left_input=2582, right_input=6847, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4934","layer":4},{"info":"number node, value=8407","layer":4},{"info":"compute binary expreesion, left_input=4934, right_input=8407, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=16814","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16814, op_id = XhwjNDsVaA binary_op_definition= 'None', 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1001010010110∀⇚≩≮⫘↔10001011100↛⩡⫤)∀⇚≩(≮⫘↔10010010100≎⊠⪸≮⫘↔100001110001⋳⪒(≮⫘↔10011010010*≮⫘↔1011011011000))⋷≮⫘↔10010000111000⩚⊴⇥≮⫘↔11111110010⊭↱≮⫘↔1100001111110⫥∨⫟≮⫘↔111111101001-(≮⫘↔101000010110⫥∨⫟≮⫘↔1101010111111/≮⫘↔1001101000110⇷≮⫘↔10000011010111)=NaN","reverse_text":"NaN=(≮⫘↔1001010010110∀⇚≩≮⫘↔10001011100↛⩡⫤)∀⇚≩(≮⫘↔10010010100≎⊠⪸≮⫘↔100001110001⋳⪒(≮⫘↔10011010010*≮⫘↔1011011011000))⋷≮⫘↔10010000111000⩚⊴⇥≮⫘↔11111110010⊭↱≮⫘↔1100001111110⫥∨⫟≮⫘↔111111101001-(≮⫘↔101000010110⫥∨⫟≮⫘↔1101010111111/≮⫘↔1001101000110⇷≮⫘↔10000011010111)","cot":[{"info":"≮⫘↔1001010010110∀⇚≩≮⫘↔10001011100=NaN","layer":3},{"info":"NaN↛⩡⫤=NaN","layer":2},{"info":"≮⫘↔10010010100≎⊠⪸≮⫘↔100001110001=≮⫘↔1001001111111100011","layer":3},{"info":"≮⫘↔10011010010*≮⫘↔1011011011000=≮⫘↔11011100001110100110000","layer":3},{"info":"≮⫘↔1001001111111100011⋳⪒≮⫘↔11011100001110100110000=≮⫘↔-11001001101111010001001","layer":2},{"info":"NaN∀⇚≩≮⫘↔-11001001101111010001001=NaN","layer":1},{"info":"≮⫘↔10010000111000⩚⊴⇥≮⫘↔11111110010=≮⫘↔-10110010100011","layer":3},{"info":"≮⫘↔1100001111110⫥∨⫟≮⫘↔111111101001=NaN","layer":3},{"info":"≮⫘↔-10110010100011⊭↱NaN=NaN","layer":2},{"info":"≮⫘↔101000010110⫥∨⫟≮⫘↔1101010111111=NaN","layer":3},{"info":"≮⫘↔1001101000110⇷≮⫘↔10000011010111=≮⫘↔100000110101110","layer":3},{"info":"NaN/≮⫘↔100000110101110=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":833,"expression_no_base_symbol":"⩦⩻⨪((↥$4154$⪛$1549$)⨸⪁(↥$8603$)⪛($3850$⨳⩥⨓$1064$))","expression":"⩦⩻⨪((↥≮⫘↔1000000111010⪛≮⫘↔11000001101)⨸⪁(↥≮⫘↔10000110011011)⪛(≮⫘↔111100001010⨳⩥⨓≮⫘↔10000101000))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":206,"operation_count":7,"complexity_ratio":29.428571428571427,"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":4154,"base":2},"right_expr":{"type":"numeric_atoms","value":1549,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":8603,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3850,"base":2},"right_expr":{"type":"numeric_atoms","value":1064,"base":2}}}}},"used_operators":["2td37pGCOC","g55IO6H4Gj","A8NUZmVepG","uFcxV4UQCh","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z"],"result":"≮⫘↔-1010100110110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4154","layer":4},{"info":"number node, value=1549","layer":4},{"info":"compute binary expreesion, left_input=4154, right_input=1549, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1056","layer":3},{"info":"compute unary expreesion, input=1056, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=36","layer":2},{"info":"number node, value=8603","layer":4},{"info":"compute unary expreesion, input=8603, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=35","layer":3},{"info":"number node, value=3850","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=3850, right_input=1064, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2786","layer":3},{"info":"compute binary expreesion, left_input=35, right_input=-2786, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-2751","layer":2},{"info":"compute binary expreesion, left_input=36, right_input=-2751, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-5430","layer":1},{"info":"compute unary expreesion, input=-5430, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-5430","layer":0}],"base":2,"result_base":2,"text":"⩦⩻⨪((↥≮⫘↔1000000111010⪛≮⫘↔11000001101)⨸⪁(↥≮⫘↔10000110011011)⪛(≮⫘↔111100001010⨳⩥⨓≮⫘↔10000101000))=≮⫘↔-1010100110110","reverse_text":"≮⫘↔-1010100110110=⩦⩻⨪((↥≮⫘↔1000000111010⪛≮⫘↔11000001101)⨸⪁(↥≮⫘↔10000110011011)⪛(≮⫘↔111100001010⨳⩥⨓≮⫘↔10000101000))","cot":[{"info":"≮⫘↔1000000111010⪛≮⫘↔11000001101=≮⫘↔10000100000","layer":3},{"info":"↥≮⫘↔10000100000=≮⫘↔100100","layer":2},{"info":"↥≮⫘↔10000110011011=≮⫘↔100011","layer":3},{"info":"≮⫘↔111100001010⨳⩥⨓≮⫘↔10000101000=≮⫘↔-101011100010","layer":3},{"info":"≮⫘↔100011⪛≮⫘↔-101011100010=≮⫘↔-101010111111","layer":2},{"info":"≮⫘↔100100⨸⪁≮⫘↔-101010111111=≮⫘↔-1010100110110","layer":1},{"info":"⩦⩻⨪≮⫘↔-1010100110110=≮⫘↔-1010100110110","layer":0}]}
{"id":834,"expression_no_base_symbol":"(($8772$⪘⫢$1952$)⨟⋌⩍($2990$⨪↰⇹$7159$)⨵⪆(-$4656$)∀⇚≩$1731$⊴$1976$)⫸⊐(≉($2414$≫≃)⫥∨⫟$1191$⪮%⊝$4231$)","expression":"((≮⫘↔10001001000100⪘⫢≮⫘↔11110100000)⨟⋌⩍(≮⫘↔101110101110⨪↰⇹≮⫘↔1101111110111)⨵⪆(-≮⫘↔1001000110000)∀⇚≩≮⫘↔11011000011⊴≮⫘↔11110111000)⫸⊐(≉(≮⫘↔100101101110≫≃)⫥∨⫟≮⫘↔10010100111⪮%⊝≮⫘↔1000010000111)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":37757,"operation_count":12,"complexity_ratio":3146.4166666666665,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":8772,"base":2},"right_expr":{"type":"numeric_atoms","value":1952,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2990,"base":2},"right_expr":{"type":"numeric_atoms","value":7159,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4656,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1731,"base":2},"right_expr":{"type":"numeric_atoms","value":1976,"base":2}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2414,"base":2}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1191,"base":2},"right_expr":{"type":"numeric_atoms","value":4231,"base":2}}}}},"used_operators":["mqXw5SEYmG","2DQ55sFlQl","rGHVDoGpnC","oacrs7FA3X","tmPS8pqC7x","LRNGc0VcxI","t8gj7n24qd","Nsiff2A1zJ","e1ybzncUwg","KYD54nUTWz","X99M06cbEe","IWmyXbctLI"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rJVOvQCfKK","X99M06cbEe","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"≮⫘↔101000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8772","layer":4},{"info":"number node, value=1952","layer":4},{"info":"compute binary expreesion, left_input=8772, right_input=1952, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=17420","layer":3},{"info":"number node, value=2990","layer":4},{"info":"number node, value=7159","layer":4},{"info":"compute binary expreesion, left_input=2990, right_input=7159, 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=2990","layer":3},{"info":"compute binary expreesion, left_input=17420, right_input=2990, 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=4656","layer":4},{"info":"compute unary expreesion, input=4656, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4656","layer":3},{"info":"number node, value=1731","layer":4},{"info":"number node, value=1976","layer":4},{"info":"compute binary expreesion, left_input=1731, right_input=1976, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4656, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2414","layer":4},{"info":"compute unary expreesion, input=2414, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6229","layer":3},{"info":"number node, value=1191","layer":4},{"info":"number node, value=4231","layer":4},{"info":"compute binary expreesion, left_input=1191, right_input=4231, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2698","layer":3},{"info":"compute binary expreesion, left_input=6229, right_input=2698, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, 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=320","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10001001000100⪘⫢≮⫘↔11110100000)⨟⋌⩍(≮⫘↔101110101110⨪↰⇹≮⫘↔1101111110111)⨵⪆(-≮⫘↔1001000110000)∀⇚≩≮⫘↔11011000011⊴≮⫘↔11110111000)⫸⊐(≉(≮⫘↔100101101110≫≃)⫥∨⫟≮⫘↔10010100111⪮%⊝≮⫘↔1000010000111)=≮⫘↔101000000","reverse_text":"≮⫘↔101000000=((≮⫘↔10001001000100⪘⫢≮⫘↔11110100000)⨟⋌⩍(≮⫘↔101110101110⨪↰⇹≮⫘↔1101111110111)⨵⪆(-≮⫘↔1001000110000)∀⇚≩≮⫘↔11011000011⊴≮⫘↔11110111000)⫸⊐(≉(≮⫘↔100101101110≫≃)⫥∨⫟≮⫘↔10010100111⪮%⊝≮⫘↔1000010000111)","cot":[{"info":"≮⫘↔10001001000100⪘⫢≮⫘↔11110100000=≮⫘↔100010000001100","layer":3},{"info":"≮⫘↔101110101110⨪↰⇹≮⫘↔1101111110111=≮⫘↔101110101110","layer":3},{"info":"≮⫘↔100010000001100⨟⋌⩍≮⫘↔101110101110=NaN","layer":2},{"info":"-≮⫘↔1001000110000=≮⫘↔-1001000110000","layer":3},{"info":"≮⫘↔11011000011⊴≮⫘↔11110111000=NaN","layer":3},{"info":"≮⫘↔-1001000110000∀⇚≩NaN=NaN","layer":2},{"info":"NaN⨵⪆NaN=≮⫘↔10100000","layer":1},{"info":"≮⫘↔100101101110≫≃=≮⫘↔1100001010101","layer":3},{"info":"≮⫘↔10010100111⪮%⊝≮⫘↔1000010000111=≮⫘↔101010001010","layer":3},{"info":"≮⫘↔1100001010101⫥∨⫟≮⫘↔101010001010=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"≮⫘↔10100000⫸⊐NaN=≮⫘↔101000000","layer":0}]}
{"id":835,"expression_no_base_symbol":"⊄⩳↩((($1570$⪒$1003$)⪄$3273$⨓$1307$)⨓($6127$⨟⋌⩍$2861$⨐⩸⫘$3957$⋝⋈⪟$2383$))","expression":"⊄⩳↩(((≮⫘↔11000100010⪒≮⫘↔1111101011)⪄≮⫘↔110011001001⨓≮⫘↔10100011011)⨓(≮⫘↔1011111101111⨟⋌⩍≮⫘↔101100101101⨐⩸⫘≮⫘↔111101110101⋝⋈⪟≮⫘↔100101001111))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1423,"operation_count":8,"complexity_ratio":177.875,"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":1570,"base":2},"right_expr":{"type":"numeric_atoms","value":1003,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3273,"base":2},"right_expr":{"type":"numeric_atoms","value":1307,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6127,"base":2},"right_expr":{"type":"numeric_atoms","value":2861,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3957,"base":2},"right_expr":{"type":"numeric_atoms","value":2383,"base":2}}}}},"used_operators":["8w2t5hMYqp","3ViojmjbAp","SUmda5xLS4","f6k1SAg4EE","fu6greOZ01","rGHVDoGpnC","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1570","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=1003, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2573","layer":3},{"info":"number node, value=3273","layer":4},{"info":"number node, value=1307","layer":4},{"info":"compute binary expreesion, left_input=3273, right_input=1307, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1310","layer":3},{"info":"compute binary expreesion, left_input=-2573, right_input=-1310, 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=6127","layer":4},{"info":"number node, value=2861","layer":4},{"info":"compute binary expreesion, left_input=6127, right_input=2861, 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=3957","layer":4},{"info":"number node, value=2383","layer":4},{"info":"compute binary expreesion, left_input=3957, right_input=2383, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3957","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3957, 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=3979, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⊄⩳↩(((≮⫘↔11000100010⪒≮⫘↔1111101011)⪄≮⫘↔110011001001⨓≮⫘↔10100011011)⨓(≮⫘↔1011111101111⨟⋌⩍≮⫘↔101100101101⨐⩸⫘≮⫘↔111101110101⋝⋈⪟≮⫘↔100101001111))=NaN","reverse_text":"NaN=⊄⩳↩(((≮⫘↔11000100010⪒≮⫘↔1111101011)⪄≮⫘↔110011001001⨓≮⫘↔10100011011)⨓(≮⫘↔1011111101111⨟⋌⩍≮⫘↔101100101101⨐⩸⫘≮⫘↔111101110101⋝⋈⪟≮⫘↔100101001111))","cot":[{"info":"≮⫘↔11000100010⪒≮⫘↔1111101011=≮⫘↔-101000001101","layer":3},{"info":"≮⫘↔110011001001⨓≮⫘↔10100011011=≮⫘↔-10100011110","layer":3},{"info":"≮⫘↔-101000001101⪄≮⫘↔-10100011110=≮⫘↔111110001011","layer":2},{"info":"≮⫘↔1011111101111⨟⋌⩍≮⫘↔101100101101=NaN","layer":3},{"info":"≮⫘↔111101110101⋝⋈⪟≮⫘↔100101001111=≮⫘↔111101110101","layer":3},{"info":"NaN⨐⩸⫘≮⫘↔111101110101=NaN","layer":2},{"info":"≮⫘↔111110001011⨓NaN=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":836,"expression_no_base_symbol":"(⨞⊢(⨰⫟⨤(≤/$3996$)))⪒(⫛⫱⨽(↣≠⋷$1090$))⋥≓≎($5761$⊭↱$1710$)⩷∴($4493$⨳⩥⨓$4906$)","expression":"(⨞⊢(⨰⫟⨤(≤/≮⫘↔111110011100)))⪒(⫛⫱⨽(↣≠⋷≮⫘↔10001000010))⋥≓≎(≮⫘↔1011010000001⊭↱≮⫘↔11010101110)⩷∴(≮⫘↔1000110001101⨳⩥⨓≮⫘↔1001100101010)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15878,"operation_count":10,"complexity_ratio":1587.8,"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":3996,"base":2}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1090,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5761,"base":2},"right_expr":{"type":"numeric_atoms","value":1710,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4493,"base":2},"right_expr":{"type":"numeric_atoms","value":4906,"base":2}}}}},"used_operators":["f6k1SAg4EE","xUOZtlo3hN","Tw270M8GLb","eLAdDNolq6","Qy55tPpLXF","DlLNRPXxWL","Asc51vEJeQ","9FxExcQeMw","COABgblf1C","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3996","layer":4},{"info":"compute unary expreesion, input=3996, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3512","layer":3},{"info":"compute unary expreesion, input=-3512, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', 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=1090","layer":4},{"info":"compute unary expreesion, input=1090, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((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=5761","layer":4},{"info":"number node, value=1710","layer":4},{"info":"compute binary expreesion, left_input=5761, right_input=1710, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-8097","layer":3},{"info":"number node, value=4493","layer":4},{"info":"number node, value=4906","layer":4},{"info":"compute binary expreesion, left_input=4493, right_input=4906, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=413","layer":3},{"info":"compute binary expreesion, left_input=-8097, right_input=413, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-17052","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-17052, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨞⊢(⨰⫟⨤(≤/≮⫘↔111110011100)))⪒(⫛⫱⨽(↣≠⋷≮⫘↔10001000010))⋥≓≎(≮⫘↔1011010000001⊭↱≮⫘↔11010101110)⩷∴(≮⫘↔1000110001101⨳⩥⨓≮⫘↔1001100101010)=NaN","reverse_text":"NaN=(⨞⊢(⨰⫟⨤(≤/≮⫘↔111110011100)))⪒(⫛⫱⨽(↣≠⋷≮⫘↔10001000010))⋥≓≎(≮⫘↔1011010000001⊭↱≮⫘↔11010101110)⩷∴(≮⫘↔1000110001101⨳⩥⨓≮⫘↔1001100101010)","cot":[{"info":"≤/≮⫘↔111110011100=≮⫘↔-110110111000","layer":3},{"info":"⨰⫟⨤≮⫘↔-110110111000=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"↣≠⋷≮⫘↔10001000010=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"≮⫘↔1011010000001⊭↱≮⫘↔11010101110=≮⫘↔-1111110100001","layer":3},{"info":"≮⫘↔1000110001101⨳⩥⨓≮⫘↔1001100101010=≮⫘↔110011101","layer":3},{"info":"≮⫘↔-1111110100001⩷∴≮⫘↔110011101=≮⫘↔-100001010011100","layer":2},{"info":"NaN⋥≓≎≮⫘↔-100001010011100=≮⫘↔1000011","layer":1},{"info":"NaN⪒≮⫘↔1000011=NaN","layer":0}]}
{"id":837,"expression_no_base_symbol":"((($1010$⊉≛↸$4550$)⪄(⫛⫱⨽$1014$))↺(($3481$↺$1053$)∧))≎⊠⪸(($3445$⩨$4462$⩨$3705$⨪↰⇹$2238$)⫸⊐($3007$∀⇚≩$1377$⨵⪆$2605$⋓$1549$))","expression":"(((≮⫘↔1111110010⊉≛↸≮⫘↔1000111000110)⪄(⫛⫱⨽≮⫘↔1111110110))↺((≮⫘↔110110011001↺≮⫘↔10000011101)∧))≎⊠⪸((≮⫘↔110101110101⩨≮⫘↔1000101101110⩨≮⫘↔111001111001⨪↰⇹≮⫘↔100010111110)⫸⊐(≮⫘↔101110111111∀⇚≩≮⫘↔10101100001⨵⪆≮⫘↔101000101101⋓≮⫘↔11000001101))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":27575,"operation_count":14,"complexity_ratio":1969.642857142857,"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":1010,"base":2},"right_expr":{"type":"numeric_atoms","value":4550,"base":2}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1014,"base":2}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3481,"base":2},"right_expr":{"type":"numeric_atoms","value":1053,"base":2}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3445,"base":2},"right_expr":{"type":"numeric_atoms","value":4462,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3705,"base":2},"right_expr":{"type":"numeric_atoms","value":2238,"base":2}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3007,"base":2},"right_expr":{"type":"numeric_atoms","value":1377,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2605,"base":2},"right_expr":{"type":"numeric_atoms","value":1549,"base":2}}}}},"used_operators":["bJkvcejdHO","7j4O788W3g","SUmda5xLS4","DZ8iAZOCBD","DlLNRPXxWL","z63VuFQld9","mqXw5SEYmG","2DlMacCsIx","tmPS8pqC7x","2DQ55sFlQl","LRNGc0VcxI","T2fj7uvVaJ"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1010","layer":4},{"info":"number node, value=4550","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=4550, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2020","layer":3},{"info":"number node, value=1014","layer":4},{"info":"compute unary expreesion, input=1014, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2020, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-295049","layer":2},{"info":"number node, value=3481","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=3481, right_input=1053, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1053","layer":3},{"info":"compute unary expreesion, input=1053, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-295049, 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":"number node, value=3445","layer":4},{"info":"number node, value=4462","layer":4},{"info":"compute binary expreesion, left_input=3445, right_input=4462, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=3705","layer":4},{"info":"number node, value=2238","layer":4},{"info":"compute binary expreesion, left_input=3705, right_input=2238, 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=3705","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=3705, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3705","layer":2},{"info":"number node, value=3007","layer":4},{"info":"number node, value=1377","layer":4},{"info":"compute binary expreesion, left_input=3007, right_input=1377, 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=2605","layer":4},{"info":"number node, value=1549","layer":4},{"info":"compute binary expreesion, left_input=2605, right_input=1549, 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=nan, right_input=0, 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=3705, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=515, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔1111110010⊉≛↸≮⫘↔1000111000110)⪄(⫛⫱⨽≮⫘↔1111110110))↺((≮⫘↔110110011001↺≮⫘↔10000011101)∧))≎⊠⪸((≮⫘↔110101110101⩨≮⫘↔1000101101110⩨≮⫘↔111001111001⨪↰⇹≮⫘↔100010111110)⫸⊐(≮⫘↔101110111111∀⇚≩≮⫘↔10101100001⨵⪆≮⫘↔101000101101⋓≮⫘↔11000001101))=NaN","reverse_text":"NaN=(((≮⫘↔1111110010⊉≛↸≮⫘↔1000111000110)⪄(⫛⫱⨽≮⫘↔1111110110))↺((≮⫘↔110110011001↺≮⫘↔10000011101)∧))≎⊠⪸((≮⫘↔110101110101⩨≮⫘↔1000101101110⩨≮⫘↔111001111001⨪↰⇹≮⫘↔100010111110)⫸⊐(≮⫘↔101110111111∀⇚≩≮⫘↔10101100001⨵⪆≮⫘↔101000101101⋓≮⫘↔11000001101))","cot":[{"info":"≮⫘↔1111110010⊉≛↸≮⫘↔1000111000110=≮⫘↔11111100100","layer":3},{"info":"⫛⫱⨽≮⫘↔1111110110=≮⫘↔0","layer":3},{"info":"≮⫘↔11111100100⪄≮⫘↔0=≮⫘↔-1001000000010001001","layer":2},{"info":"≮⫘↔110110011001↺≮⫘↔10000011101=≮⫘↔10000011101","layer":3},{"info":"≮⫘↔10000011101∧=NaN","layer":2},{"info":"≮⫘↔-1001000000010001001↺NaN=NaN","layer":1},{"info":"≮⫘↔110101110101⩨≮⫘↔1000101101110=≮⫘↔-11","layer":3},{"info":"≮⫘↔111001111001⨪↰⇹≮⫘↔100010111110=≮⫘↔111001111001","layer":3},{"info":"≮⫘↔-11⩨≮⫘↔111001111001=≮⫘↔111001111001","layer":2},{"info":"≮⫘↔101110111111∀⇚≩≮⫘↔10101100001=NaN","layer":3},{"info":"≮⫘↔101000101101⋓≮⫘↔11000001101=≮⫘↔0","layer":3},{"info":"NaN⨵⪆≮⫘↔0=≮⫘↔10100000","layer":2},{"info":"≮⫘↔111001111001⫸⊐≮⫘↔10100000=≮⫘↔1000000011","layer":1},{"info":"NaN≎⊠⪸≮⫘↔1000000011=NaN","layer":0}]}
{"id":838,"expression_no_base_symbol":"⨈⫕((⊙↵-($7613$↛⩡⫤))↛⩡⫤)","expression":"⨈⫕((⊙↵-(≮⫘↔1110110111101↛⩡⫤))↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24114,"operation_count":4,"complexity_ratio":6028.5,"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":7613,"base":2}}}}},"used_operators":["megm06wKyl","FU0Cs4j7VP","oWn0xqSxBt"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"≮⫘↔-10101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7613","layer":4},{"info":"compute unary expreesion, input=7613, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1145652","layer":3},{"info":"compute unary expreesion, input=-1145652, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"compute unary expreesion, input=196, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-25685","layer":1},{"info":"compute unary expreesion, input=-25685, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":2,"result_base":2,"text":"⨈⫕((⊙↵-(≮⫘↔1110110111101↛⩡⫤))↛⩡⫤)=≮⫘↔-10101","reverse_text":"≮⫘↔-10101=⨈⫕((⊙↵-(≮⫘↔1110110111101↛⩡⫤))↛⩡⫤)","cot":[{"info":"≮⫘↔1110110111101↛⩡⫤=≮⫘↔-100010111101100110100","layer":3},{"info":"⊙↵-≮⫘↔-100010111101100110100=≮⫘↔11000100","layer":2},{"info":"≮⫘↔11000100↛⩡⫤=≮⫘↔-110010001010101","layer":1},{"info":"⨈⫕≮⫘↔-110010001010101=≮⫘↔-10101","layer":0}]}
{"id":839,"expression_no_base_symbol":"($2263$⩚⊴⇥$4490$⨽($1898$⪒$2530$))⪛(⫛⫱⨽($1383$∸))↺((⋗⩬⋾$1302$)⋝⋈⪟($4173$-$3516$)⨸⪁($4477$≭$3802$⨸⪁$1778$⩚⊴⇥$1866$))","expression":"(≮⫘↔100011010111⩚⊴⇥≮⫘↔1000110001010⨽(≮⫘↔11101101010⪒≮⫘↔100111100010))⪛(⫛⫱⨽(≮⫘↔10101100111∸))↺((⋗⩬⋾≮⫘↔10100010110)⋝⋈⪟(≮⫘↔1000001001101-≮⫘↔110110111100)⨸⪁(≮⫘↔1000101111101≭≮⫘↔111011011010⨸⪁≮⫘↔11011110010⩚⊴⇥≮⫘↔11101001010))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8177,"operation_count":14,"complexity_ratio":584.0714285714286,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2263,"base":2},"right_expr":{"type":"numeric_atoms","value":4490,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1898,"base":2},"right_expr":{"type":"numeric_atoms","value":2530,"base":2}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1383,"base":2}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1302,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4173,"base":2},"right_expr":{"type":"numeric_atoms","value":3516,"base":2}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4477,"base":2},"right_expr":{"type":"numeric_atoms","value":3802,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1778,"base":2},"right_expr":{"type":"numeric_atoms","value":1866,"base":2}}}}},"used_operators":["7j4O788W3g","uFcxV4UQCh","8HhzD0ZcuI","NTOWxs364D","f6k1SAg4EE","DlLNRPXxWL","o20kRiQErp","g55IO6H4Gj","2DDjHMKMc0","DpFCA1CohY","rysDP5nf3Z","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","tmPS8pqC7x","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2263","layer":4},{"info":"number node, value=4490","layer":4},{"info":"compute binary expreesion, left_input=2263, right_input=4490, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6874","layer":3},{"info":"number node, value=1898","layer":4},{"info":"number node, value=2530","layer":4},{"info":"compute binary expreesion, left_input=1898, right_input=2530, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4428","layer":3},{"info":"compute binary expreesion, left_input=-6874, right_input=-4428, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-141741030","layer":2},{"info":"number node, value=1383","layer":4},{"info":"compute unary expreesion, input=1383, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-141741030, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1302","layer":4},{"info":"compute unary expreesion, input=1302, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3906","layer":3},{"info":"number node, value=4173","layer":4},{"info":"number node, value=3516","layer":4},{"info":"compute binary expreesion, left_input=4173, right_input=3516, op_id = rysDP5nf3Z binary_op_definition= 'None', output=657","layer":3},{"info":"compute binary expreesion, left_input=-3906, right_input=657, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-3906","layer":2},{"info":"number node, value=4477","layer":4},{"info":"number node, value=3802","layer":4},{"info":"compute binary expreesion, left_input=4477, right_input=3802, 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=1778","layer":4},{"info":"number node, value=1866","layer":4},{"info":"compute binary expreesion, left_input=1778, right_input=1866, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3765","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3765, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3906, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100011010111⩚⊴⇥≮⫘↔1000110001010⨽(≮⫘↔11101101010⪒≮⫘↔100111100010))⪛(⫛⫱⨽(≮⫘↔10101100111∸))↺((⋗⩬⋾≮⫘↔10100010110)⋝⋈⪟(≮⫘↔1000001001101-≮⫘↔110110111100)⨸⪁(≮⫘↔1000101111101≭≮⫘↔111011011010⨸⪁≮⫘↔11011110010⩚⊴⇥≮⫘↔11101001010))=NaN","reverse_text":"NaN=(≮⫘↔100011010111⩚⊴⇥≮⫘↔1000110001010⨽(≮⫘↔11101101010⪒≮⫘↔100111100010))⪛(⫛⫱⨽(≮⫘↔10101100111∸))↺((⋗⩬⋾≮⫘↔10100010110)⋝⋈⪟(≮⫘↔1000001001101-≮⫘↔110110111100)⨸⪁(≮⫘↔1000101111101≭≮⫘↔111011011010⨸⪁≮⫘↔11011110010⩚⊴⇥≮⫘↔11101001010))","cot":[{"info":"≮⫘↔100011010111⩚⊴⇥≮⫘↔1000110001010=≮⫘↔-1101011011010","layer":3},{"info":"≮⫘↔11101101010⪒≮⫘↔100111100010=≮⫘↔-1000101001100","layer":3},{"info":"≮⫘↔-1101011011010⨽≮⫘↔-1000101001100=≮⫘↔-1000011100101100101111100110","layer":2},{"info":"≮⫘↔10101100111∸=≮⫘↔10110001","layer":3},{"info":"⫛⫱⨽≮⫘↔10110001=≮⫘↔0","layer":2},{"info":"≮⫘↔-1000011100101100101111100110⪛≮⫘↔0=NaN","layer":1},{"info":"⋗⩬⋾≮⫘↔10100010110=≮⫘↔-111101000010","layer":3},{"info":"≮⫘↔1000001001101-≮⫘↔110110111100=≮⫘↔1010010001","layer":3},{"info":"≮⫘↔-111101000010⋝⋈⪟≮⫘↔1010010001=≮⫘↔-111101000010","layer":2},{"info":"≮⫘↔1000101111101≭≮⫘↔111011011010=NaN","layer":3},{"info":"≮⫘↔11011110010⩚⊴⇥≮⫘↔11101001010=≮⫘↔-111010110101","layer":3},{"info":"NaN⨸⪁≮⫘↔-111010110101=NaN","layer":2},{"info":"≮⫘↔-111101000010⨸⪁NaN=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":840,"expression_no_base_symbol":"(⪲⇎(⨵≀≌($6778$⩠)))⇋≉","expression":"(⪲⇎(⨵≀≌(≮⫘↔1101001111010⩠)))⇋≉","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":29,"operation_count":4,"complexity_ratio":7.25,"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":6778,"base":2}}}}},"used_operators":["XIabStNQrY","XPYlsWDdGa","srAu1WTS94","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"≮⫘↔-1100010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6778","layer":4},{"info":"compute unary expreesion, input=6778, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":0}],"base":2,"result_base":2,"text":"(⪲⇎(⨵≀≌(≮⫘↔1101001111010⩠)))⇋≉=≮⫘↔-1100010","reverse_text":"≮⫘↔-1100010=(⪲⇎(⨵≀≌(≮⫘↔1101001111010⩠)))⇋≉","cot":[{"info":"≮⫘↔1101001111010⩠=≮⫘↔0","layer":3},{"info":"⨵≀≌≮⫘↔0=≮⫘↔0","layer":2},{"info":"⪲⇎≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔0⇋≉=≮⫘↔-1100010","layer":0}]}
{"id":841,"expression_no_base_symbol":"(⫛⫱⨽($1321$⊴$6155$⋷$2440$≧⫂∧$8060$))∼((↩$2911$)⪮%⊝($5925$⇷$4338$)∑⇟⊟((≤/$7594$)⨽($1741$/$1146$)))","expression":"(⫛⫱⨽(≮⫘↔10100101001⊴≮⫘↔1100000001011⋷≮⫘↔100110001000≧⫂∧≮⫘↔1111101111100))∼((↩≮⫘↔101101011111)⪮%⊝(≮⫘↔1011100100101⇷≮⫘↔1000011110010)∑⇟⊟((≤/≮⫘↔1110110101010)⨽(≮⫘↔11011001101/≮⫘↔10001111010)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":97182,"operation_count":12,"complexity_ratio":8098.5,"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":1321,"base":2},"right_expr":{"type":"numeric_atoms","value":6155,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2440,"base":2},"right_expr":{"type":"numeric_atoms","value":8060,"base":2}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2911,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5925,"base":2},"right_expr":{"type":"numeric_atoms","value":4338,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":7594,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1741,"base":2},"right_expr":{"type":"numeric_atoms","value":1146,"base":2}}}}},"used_operators":["DyGG3AbaNP","DlLNRPXxWL","23Mk6UjR3U","Nsiff2A1zJ","Ph9nP6C5qx","U7g4x0WXJJ","IWmyXbctLI","jLgFTUHLKL","mp7IySMOzn","8HhzD0ZcuI","eLAdDNolq6","XhwjNDsVaA"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1321","layer":4},{"info":"number node, value=6155","layer":4},{"info":"compute binary expreesion, left_input=1321, right_input=6155, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2440","layer":4},{"info":"number node, value=8060","layer":4},{"info":"compute binary expreesion, left_input=2440, right_input=8060, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7587","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7587, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"number node, value=2911","layer":4},{"info":"compute unary expreesion, input=2911, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-20508","layer":3},{"info":"number node, value=5925","layer":4},{"info":"number node, value=4338","layer":4},{"info":"compute binary expreesion, left_input=5925, right_input=4338, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8676","layer":3},{"info":"compute binary expreesion, left_input=-20508, right_input=8676, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-40700","layer":2},{"info":"number node, value=7594","layer":4},{"info":"compute unary expreesion, input=7594, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-7110","layer":3},{"info":"number node, value=1741","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=1741, right_input=1146, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-7110, right_input=1, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-151654989","layer":2},{"info":"compute binary expreesion, left_input=-40700, right_input=-151654989, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⫛⫱⨽(≮⫘↔10100101001⊴≮⫘↔1100000001011⋷≮⫘↔100110001000≧⫂∧≮⫘↔1111101111100))∼((↩≮⫘↔101101011111)⪮%⊝(≮⫘↔1011100100101⇷≮⫘↔1000011110010)∑⇟⊟((≤/≮⫘↔1110110101010)⨽(≮⫘↔11011001101/≮⫘↔10001111010)))=NaN","reverse_text":"NaN=(⫛⫱⨽(≮⫘↔10100101001⊴≮⫘↔1100000001011⋷≮⫘↔100110001000≧⫂∧≮⫘↔1111101111100))∼((↩≮⫘↔101101011111)⪮%⊝(≮⫘↔1011100100101⇷≮⫘↔1000011110010)∑⇟⊟((≤/≮⫘↔1110110101010)⨽(≮⫘↔11011001101/≮⫘↔10001111010)))","cot":[{"info":"≮⫘↔10100101001⊴≮⫘↔1100000001011=NaN","layer":3},{"info":"≮⫘↔100110001000≧⫂∧≮⫘↔1111101111100=≮⫘↔1110110100011","layer":3},{"info":"NaN⋷≮⫘↔1110110100011=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"↩≮⫘↔101101011111=≮⫘↔-101000000011100","layer":3},{"info":"≮⫘↔1011100100101⇷≮⫘↔1000011110010=≮⫘↔10000111100100","layer":3},{"info":"≮⫘↔-101000000011100⪮%⊝≮⫘↔10000111100100=≮⫘↔-1001111011111100","layer":2},{"info":"≤/≮⫘↔1110110101010=≮⫘↔-1101111000110","layer":3},{"info":"≮⫘↔11011001101/≮⫘↔10001111010=≮⫘↔1","layer":3},{"info":"≮⫘↔-1101111000110⨽≮⫘↔1=≮⫘↔-1001000010100001001001001101","layer":2},{"info":"≮⫘↔-1001111011111100∑⇟⊟≮⫘↔-1001000010100001001001001101=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":842,"expression_no_base_symbol":"$2905$≹⇙⪍$4557$⋓($2669$⋥≓≎$2942$)≧⫂∧($2487$∼$2145$⋓($5816$⨎$1613$))⨳⩥⨓(↥(($5357$%$4947$)⩨($1625$⊠≄⫣)))","expression":"≮⫘↔101101011001≹⇙⪍≮⫘↔1000111001101⋓(≮⫘↔101001101101⋥≓≎≮⫘↔101101111110)≧⫂∧(≮⫘↔100110110111∼≮⫘↔100001100001⋓(≮⫘↔1011010111000⨎≮⫘↔11001001101))⨳⩥⨓(↥((≮⫘↔1010011101101%≮⫘↔1001101010011)⩨(≮⫘↔11001011001⊠≄⫣)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":95,"operation_count":12,"complexity_ratio":7.916666666666667,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2905,"base":2},"right_expr":{"type":"numeric_atoms","value":4557,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2669,"base":2},"right_expr":{"type":"numeric_atoms","value":2942,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2487,"base":2},"right_expr":{"type":"numeric_atoms","value":2145,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5816,"base":2},"right_expr":{"type":"numeric_atoms","value":1613,"base":2}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5357,"base":2},"right_expr":{"type":"numeric_atoms","value":4947,"base":2}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1625,"base":2}}}}},"used_operators":["nCS4ZIUYfx","Ph9nP6C5qx","T2fj7uvVaJ","AHs5Up7iyr","Qy55tPpLXF","DyGG3AbaNP","rJVOvQCfKK","A8NUZmVepG","2DlMacCsIx","k8jYdgA6NY","DIvbN7qnHd"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔111011001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2905","layer":4},{"info":"number node, value=4557","layer":4},{"info":"compute binary expreesion, left_input=2905, right_input=4557, 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=2669","layer":4},{"info":"number node, value=2942","layer":4},{"info":"compute binary expreesion, left_input=2669, right_input=2942, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3248","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3248, 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=2487","layer":4},{"info":"number node, value=2145","layer":4},{"info":"compute binary expreesion, left_input=2487, right_input=2145, 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=5816","layer":4},{"info":"number node, value=1613","layer":4},{"info":"compute binary expreesion, left_input=5816, right_input=1613, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1613","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1613, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":1},{"info":"number node, value=5357","layer":4},{"info":"number node, value=4947","layer":4},{"info":"compute binary expreesion, left_input=5357, right_input=4947, op_id = k8jYdgA6NY binary_op_definition= 'None', output=410","layer":3},{"info":"number node, value=1625","layer":4},{"info":"compute unary expreesion, input=1625, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=410, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-473, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=473","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔101101011001≹⇙⪍≮⫘↔1000111001101⋓(≮⫘↔101001101101⋥≓≎≮⫘↔101101111110)≧⫂∧(≮⫘↔100110110111∼≮⫘↔100001100001⋓(≮⫘↔1011010111000⨎≮⫘↔11001001101))⨳⩥⨓(↥((≮⫘↔1010011101101%≮⫘↔1001101010011)⩨(≮⫘↔11001011001⊠≄⫣)))=≮⫘↔111011001","reverse_text":"≮⫘↔111011001=≮⫘↔101101011001≹⇙⪍≮⫘↔1000111001101⋓(≮⫘↔101001101101⋥≓≎≮⫘↔101101111110)≧⫂∧(≮⫘↔100110110111∼≮⫘↔100001100001⋓(≮⫘↔1011010111000⨎≮⫘↔11001001101))⨳⩥⨓(↥((≮⫘↔1010011101101%≮⫘↔1001101010011)⩨(≮⫘↔11001011001⊠≄⫣)))","cot":[{"info":"≮⫘↔101101011001≹⇙⪍≮⫘↔1000111001101=NaN","layer":3},{"info":"≮⫘↔101001101101⋥≓≎≮⫘↔101101111110=≮⫘↔110010110000","layer":3},{"info":"NaN⋓≮⫘↔110010110000=≮⫘↔0","layer":2},{"info":"≮⫘↔100110110111∼≮⫘↔100001100001=NaN","layer":3},{"info":"≮⫘↔1011010111000⨎≮⫘↔11001001101=≮⫘↔11001001101","layer":3},{"info":"NaN⋓≮⫘↔11001001101=≮⫘↔0","layer":2},{"info":"≮⫘↔0≧⫂∧≮⫘↔0=≮⫘↔-111011001","layer":1},{"info":"≮⫘↔1010011101101%≮⫘↔1001101010011=≮⫘↔110011010","layer":3},{"info":"≮⫘↔11001011001⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔110011010⩨≮⫘↔0=≮⫘↔0","layer":2},{"info":"↥≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔-111011001⨳⩥⨓≮⫘↔0=≮⫘↔111011001","layer":0}]}
{"id":843,"expression_no_base_symbol":"($2885$⨟⋌⩍$1141$≭($1110$⩚⊴⇥$3860$)⫡⨏$1146$⨟⋌⩍$7034$⊭↱(↩$5781$))-(↽≂($1502$∧))⋝⋈⪟$7298$⪛$7053$∀⇚≩(⊙↵-$2376$)","expression":"(≮⫘↔101101000101⨟⋌⩍≮⫘↔10001110101≭(≮⫘↔10001010110⩚⊴⇥≮⫘↔111100010100)⫡⨏≮⫘↔10001111010⨟⋌⩍≮⫘↔1101101111010⊭↱(↩≮⫘↔1011010010101))-(↽≂(≮⫘↔10111011110∧))⋝⋈⪟≮⫘↔1110010000010⪛≮⫘↔1101110001101∀⇚≩(⊙↵-≮⫘↔100101001000)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4189,"operation_count":14,"complexity_ratio":299.2142857142857,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2885,"base":2},"right_expr":{"type":"numeric_atoms","value":1141,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1110,"base":2},"right_expr":{"type":"numeric_atoms","value":3860,"base":2}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1146,"base":2},"right_expr":{"type":"numeric_atoms","value":7034,"base":2}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5781,"base":2}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1502,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7298,"base":2},"right_expr":{"type":"numeric_atoms","value":7053,"base":2}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2376,"base":2}}}}},"used_operators":["rysDP5nf3Z","QMFrweE19q","rxpJgHHUmx","rGHVDoGpnC","NTOWxs364D","COABgblf1C","jLgFTUHLKL","2DDjHMKMc0","u6S6b8DprG","z63VuFQld9","LRNGc0VcxI","uFcxV4UQCh","oWn0xqSxBt"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","X99M06cbEe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2885","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=2885, right_input=1141, 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=1110","layer":4},{"info":"number node, value=3860","layer":4},{"info":"compute binary expreesion, left_input=1110, right_input=3860, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5091","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5091, 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=1146","layer":4},{"info":"number node, value=7034","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=7034, 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=5781","layer":4},{"info":"compute unary expreesion, input=5781, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-43468","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-43468, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', 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=1502","layer":4},{"info":"compute unary expreesion, input=1502, 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 = 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=7298","layer":4},{"info":"number node, value=7053","layer":4},{"info":"compute binary expreesion, left_input=7298, right_input=7053, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=245","layer":3},{"info":"number node, value=2376","layer":4},{"info":"compute unary expreesion, input=2376, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=245, right_input=-1, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101101000101⨟⋌⩍≮⫘↔10001110101≭(≮⫘↔10001010110⩚⊴⇥≮⫘↔111100010100)⫡⨏≮⫘↔10001111010⨟⋌⩍≮⫘↔1101101111010⊭↱(↩≮⫘↔1011010010101))-(↽≂(≮⫘↔10111011110∧))⋝⋈⪟≮⫘↔1110010000010⪛≮⫘↔1101110001101∀⇚≩(⊙↵-≮⫘↔100101001000)=NaN","reverse_text":"NaN=(≮⫘↔101101000101⨟⋌⩍≮⫘↔10001110101≭(≮⫘↔10001010110⩚⊴⇥≮⫘↔111100010100)⫡⨏≮⫘↔10001111010⨟⋌⩍≮⫘↔1101101111010⊭↱(↩≮⫘↔1011010010101))-(↽≂(≮⫘↔10111011110∧))⋝⋈⪟≮⫘↔1110010000010⪛≮⫘↔1101110001101∀⇚≩(⊙↵-≮⫘↔100101001000)","cot":[{"info":"≮⫘↔101101000101⨟⋌⩍≮⫘↔10001110101=NaN","layer":3},{"info":"≮⫘↔10001010110⩚⊴⇥≮⫘↔111100010100=≮⫘↔-1001111100011","layer":3},{"info":"NaN≭≮⫘↔-1001111100011=NaN","layer":2},{"info":"≮⫘↔10001111010⨟⋌⩍≮⫘↔1101101111010=NaN","layer":3},{"info":"↩≮⫘↔1011010010101=≮⫘↔-1010100111001100","layer":3},{"info":"NaN⊭↱≮⫘↔-1010100111001100=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"≮⫘↔10111011110∧=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"≮⫘↔1110010000010⪛≮⫘↔1101110001101=≮⫘↔11110101","layer":3},{"info":"⊙↵-≮⫘↔100101001000=≮⫘↔-1","layer":3},{"info":"≮⫘↔11110101∀⇚≩≮⫘↔-1=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":844,"expression_no_base_symbol":"(($1681$/$2581$)↬(↯⪼$1939$)↪⪝)↬(($3693$∲⫓$2232$)≭($1838$⨵⪆$2869$)⪄($1165$∀⇚≩$4570$-$1433$↺$4999$))","expression":"((≮⫘↔11010010001/≮⫘↔101000010101)↬(↯⪼≮⫘↔11110010011)↪⪝)↬((≮⫘↔111001101101∲⫓≮⫘↔100010111000)≭(≮⫘↔11100101110⨵⪆≮⫘↔101100110101)⪄(≮⫘↔10010001101∀⇚≩≮⫘↔1000111011010-≮⫘↔10110011001↺≮⫘↔1001110000111))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8344,"operation_count":12,"complexity_ratio":695.3333333333334,"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":1681,"base":2},"right_expr":{"type":"numeric_atoms","value":2581,"base":2}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1939,"base":2}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3693,"base":2},"right_expr":{"type":"numeric_atoms","value":2232,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1838,"base":2},"right_expr":{"type":"numeric_atoms","value":2869,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1165,"base":2},"right_expr":{"type":"numeric_atoms","value":4570,"base":2}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1433,"base":2},"right_expr":{"type":"numeric_atoms","value":4999,"base":2}}}}},"used_operators":["B5M0gjZbta","l07mrZUIn9","XhwjNDsVaA","8jW3W4yZS5","SUmda5xLS4","rxpJgHHUmx","i8ToyICDmI","2DQ55sFlQl","rysDP5nf3Z","LRNGc0VcxI","7j4O788W3g"],"dependent_operators":["rGHVDoGpnC","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1681","layer":4},{"info":"number node, value=2581","layer":4},{"info":"compute binary expreesion, left_input=1681, right_input=2581, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1939","layer":4},{"info":"compute unary expreesion, input=1939, 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 = 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=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-1284822","layer":1},{"info":"number node, value=3693","layer":4},{"info":"number node, value=2232","layer":4},{"info":"compute binary expreesion, left_input=3693, right_input=2232, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1838","layer":4},{"info":"number node, value=2869","layer":4},{"info":"compute binary expreesion, left_input=1838, right_input=2869, 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=0, right_input=160, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1165","layer":4},{"info":"number node, value=4570","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=4570, 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=1433","layer":4},{"info":"number node, value=4999","layer":4},{"info":"compute binary expreesion, left_input=1433, right_input=4999, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4999","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4999, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=-1284822, right_input=3979, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11010010001/≮⫘↔101000010101)↬(↯⪼≮⫘↔11110010011)↪⪝)↬((≮⫘↔111001101101∲⫓≮⫘↔100010111000)≭(≮⫘↔11100101110⨵⪆≮⫘↔101100110101)⪄(≮⫘↔10010001101∀⇚≩≮⫘↔1000111011010-≮⫘↔10110011001↺≮⫘↔1001110000111))=NaN","reverse_text":"NaN=((≮⫘↔11010010001/≮⫘↔101000010101)↬(↯⪼≮⫘↔11110010011)↪⪝)↬((≮⫘↔111001101101∲⫓≮⫘↔100010111000)≭(≮⫘↔11100101110⨵⪆≮⫘↔101100110101)⪄(≮⫘↔10010001101∀⇚≩≮⫘↔1000111011010-≮⫘↔10110011001↺≮⫘↔1001110000111))","cot":[{"info":"≮⫘↔11010010001/≮⫘↔101000010101=≮⫘↔0","layer":3},{"info":"↯⪼≮⫘↔11110010011=≮⫘↔-10101","layer":3},{"info":"≮⫘↔0↬≮⫘↔-10101=≮⫘↔-10101","layer":2},{"info":"≮⫘↔-10101↪⪝=≮⫘↔-100111001101011010110","layer":1},{"info":"≮⫘↔111001101101∲⫓≮⫘↔100010111000=≮⫘↔0","layer":3},{"info":"≮⫘↔11100101110⨵⪆≮⫘↔101100110101=≮⫘↔10100000","layer":3},{"info":"≮⫘↔0≭≮⫘↔10100000=NaN","layer":2},{"info":"≮⫘↔10010001101∀⇚≩≮⫘↔1000111011010=NaN","layer":3},{"info":"≮⫘↔10110011001↺≮⫘↔1001110000111=≮⫘↔1001110000111","layer":3},{"info":"NaN-≮⫘↔1001110000111=NaN","layer":2},{"info":"NaN⪄NaN=≮⫘↔111110001011","layer":1},{"info":"≮⫘↔-100111001101011010110↬≮⫘↔111110001011=NaN","layer":0}]}
{"id":845,"expression_no_base_symbol":"($3866$⪘⫢$5318$⩤)≧⫂∧(($3680$-$3664$)⊦⊿)≭((-$8574$∀⇚≩$3145$)+(⊥($3251$↙$1640$)))","expression":"(≮⫘↔111100011010⪘⫢≮⫘↔1010011000110⩤)≧⫂∧((≮⫘↔111001100000-≮⫘↔111001010000)⊦⊿)≭((-≮⫘↔10000101111110∀⇚≩≮⫘↔110001001001)+(⊥(≮⫘↔110010110011↙≮⫘↔11001101000)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":61689,"operation_count":11,"complexity_ratio":5608.090909090909,"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":3866,"base":2},"right_expr":{"type":"numeric_atoms","value":5318,"base":2}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3680,"base":2},"right_expr":{"type":"numeric_atoms","value":3664,"base":2}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":8574,"base":2},"right_expr":{"type":"numeric_atoms","value":3145,"base":2}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3251,"base":2},"right_expr":{"type":"numeric_atoms","value":1640,"base":2}}}}},"used_operators":["rxpJgHHUmx","Ph9nP6C5qx","Z2TMIBDE3Q","oacrs7FA3X","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","LRNGc0VcxI","Q3PJZHRvZv","yyfyN0ffXY"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","fu6greOZ01","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3866","layer":4},{"info":"number node, value=5318","layer":4},{"info":"compute binary expreesion, left_input=3866, right_input=5318, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7608","layer":3},{"info":"compute unary expreesion, input=7608, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-7608","layer":2},{"info":"number node, value=3680","layer":4},{"info":"number node, value=3664","layer":4},{"info":"compute binary expreesion, left_input=3680, right_input=3664, op_id = rysDP5nf3Z binary_op_definition= 'None', output=16","layer":3},{"info":"compute unary expreesion, input=16, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-127","layer":2},{"info":"compute binary expreesion, left_input=-7608, right_input=-127, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-600","layer":1},{"info":"number node, value=8574","layer":4},{"info":"number node, value=3145","layer":4},{"info":"compute binary expreesion, left_input=8574, right_input=3145, 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"number node, value=3251","layer":4},{"info":"number node, value=1640","layer":4},{"info":"compute binary expreesion, left_input=3251, right_input=1640, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4920","layer":3},{"info":"compute unary expreesion, input=-4920, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', 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 binary expreesion, left_input=-600, 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":0}],"base":2,"result_base":2,"text":"(≮⫘↔111100011010⪘⫢≮⫘↔1010011000110⩤)≧⫂∧((≮⫘↔111001100000-≮⫘↔111001010000)⊦⊿)≭((-≮⫘↔10000101111110∀⇚≩≮⫘↔110001001001)+(⊥(≮⫘↔110010110011↙≮⫘↔11001101000)))=NaN","reverse_text":"NaN=(≮⫘↔111100011010⪘⫢≮⫘↔1010011000110⩤)≧⫂∧((≮⫘↔111001100000-≮⫘↔111001010000)⊦⊿)≭((-≮⫘↔10000101111110∀⇚≩≮⫘↔110001001001)+(⊥(≮⫘↔110010110011↙≮⫘↔11001101000)))","cot":[{"info":"≮⫘↔111100011010⪘⫢≮⫘↔1010011000110=≮⫘↔1110110111000","layer":3},{"info":"≮⫘↔1110110111000⩤=≮⫘↔-1110110111000","layer":2},{"info":"≮⫘↔111001100000-≮⫘↔111001010000=≮⫘↔10000","layer":3},{"info":"≮⫘↔10000⊦⊿=≮⫘↔-1111111","layer":2},{"info":"≮⫘↔-1110110111000≧⫂∧≮⫘↔-1111111=≮⫘↔-1001011000","layer":1},{"info":"≮⫘↔10000101111110∀⇚≩≮⫘↔110001001001=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"≮⫘↔110010110011↙≮⫘↔11001101000=≮⫘↔-1001100111000","layer":3},{"info":"⊥≮⫘↔-1001100111000=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"≮⫘↔-1001011000≭NaN=NaN","layer":0}]}
{"id":846,"expression_no_base_symbol":"((⩦⩻⨪($3268$⩨$8337$))∸)⋷($6096$⇷$4330$⨐⩸⫘$3146$⋓$1835$)⨎(↣≠⋷(⊥$2037$))","expression":"((⩦⩻⨪(≮⫘↔110011000100⩨≮⫘↔10000010010001))∸)⋷(≮⫘↔1011111010000⇷≮⫘↔1000011101010⨐⩸⫘≮⫘↔110001001010⋓≮⫘↔11100101011)⨎(↣≠⋷(⊥≮⫘↔11111110101))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":85556,"operation_count":10,"complexity_ratio":8555.6,"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":3268,"base":2},"right_expr":{"type":"numeric_atoms","value":8337,"base":2}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6096,"base":2},"right_expr":{"type":"numeric_atoms","value":4330,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3146,"base":2},"right_expr":{"type":"numeric_atoms","value":1835,"base":2}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2037,"base":2}}}}},"used_operators":["23Mk6UjR3U","o20kRiQErp","2td37pGCOC","2DlMacCsIx","rJVOvQCfKK","fu6greOZ01","mp7IySMOzn","T2fj7uvVaJ","Asc51vEJeQ","Q3PJZHRvZv"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","AHs5Up7iyr","fu6greOZ01"],"result":"≮⫘↔-101100010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3268","layer":4},{"info":"number node, value=8337","layer":4},{"info":"compute binary expreesion, left_input=3268, right_input=8337, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-6","layer":2},{"info":"compute unary expreesion, input=-6, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=6096","layer":4},{"info":"number node, value=4330","layer":4},{"info":"compute binary expreesion, left_input=6096, right_input=4330, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8660","layer":3},{"info":"number node, value=3146","layer":4},{"info":"number node, value=1835","layer":4},{"info":"compute binary expreesion, left_input=3146, right_input=1835, 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=8660, 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=8660","layer":2},{"info":"number node, value=2037","layer":4},{"info":"compute unary expreesion, input=2037, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘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 binary expreesion, left_input=8660, 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=177, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-354","layer":0}],"base":2,"result_base":2,"text":"((⩦⩻⨪(≮⫘↔110011000100⩨≮⫘↔10000010010001))∸)⋷(≮⫘↔1011111010000⇷≮⫘↔1000011101010⨐⩸⫘≮⫘↔110001001010⋓≮⫘↔11100101011)⨎(↣≠⋷(⊥≮⫘↔11111110101))=≮⫘↔-101100010","reverse_text":"≮⫘↔-101100010=((⩦⩻⨪(≮⫘↔110011000100⩨≮⫘↔10000010010001))∸)⋷(≮⫘↔1011111010000⇷≮⫘↔1000011101010⨐⩸⫘≮⫘↔110001001010⋓≮⫘↔11100101011)⨎(↣≠⋷(⊥≮⫘↔11111110101))","cot":[{"info":"≮⫘↔110011000100⩨≮⫘↔10000010010001=≮⫘↔-110","layer":3},{"info":"⩦⩻⨪≮⫘↔-110=≮⫘↔-110","layer":2},{"info":"≮⫘↔-110∸=≮⫘↔10110001","layer":1},{"info":"≮⫘↔1011111010000⇷≮⫘↔1000011101010=≮⫘↔10000111010100","layer":3},{"info":"≮⫘↔110001001010⋓≮⫘↔11100101011=≮⫘↔0","layer":3},{"info":"≮⫘↔10000111010100⨐⩸⫘≮⫘↔0=≮⫘↔10000111010100","layer":2},{"info":"⊥≮⫘↔11111110101=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"≮⫘↔10000111010100⨎NaN=NaN","layer":1},{"info":"≮⫘↔10110001⋷NaN=≮⫘↔-101100010","layer":0}]}
{"id":847,"expression_no_base_symbol":"∂(($1245$≹⇙⪍$6123$⨐⩸⫘$2202$⪘⫢$4534$)⫌⩹⨱)","expression":"∂((≮⫘↔10011011101≹⇙⪍≮⫘↔1011111101011⨐⩸⫘≮⫘↔100010011010⪘⫢≮⫘↔1000110110110)⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":25,"operation_count":5,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1245,"base":2},"right_expr":{"type":"numeric_atoms","value":6123,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2202,"base":2},"right_expr":{"type":"numeric_atoms","value":4534,"base":2}}}}},"used_operators":["Uaa54Peajs","EBcxylXtPf","fu6greOZ01","AHs5Up7iyr","oacrs7FA3X"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","dWAJyo7jo9","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1245","layer":4},{"info":"number node, value=6123","layer":4},{"info":"compute binary expreesion, left_input=1245, right_input=6123, 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=2202","layer":4},{"info":"number node, value=4534","layer":4},{"info":"compute binary expreesion, left_input=2202, right_input=4534, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4280","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4280, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"∂((≮⫘↔10011011101≹⇙⪍≮⫘↔1011111101011⨐⩸⫘≮⫘↔100010011010⪘⫢≮⫘↔1000110110110)⫌⩹⨱)=NaN","reverse_text":"NaN=∂((≮⫘↔10011011101≹⇙⪍≮⫘↔1011111101011⨐⩸⫘≮⫘↔100010011010⪘⫢≮⫘↔1000110110110)⫌⩹⨱)","cot":[{"info":"≮⫘↔10011011101≹⇙⪍≮⫘↔1011111101011=NaN","layer":3},{"info":"≮⫘↔100010011010⪘⫢≮⫘↔1000110110110=≮⫘↔1000010111000","layer":3},{"info":"NaN⨐⩸⫘≮⫘↔1000010111000=NaN","layer":2},{"info":"NaN⫌⩹⨱=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":848,"expression_no_base_symbol":"($6691$⋥≓≎$2384$/$1399$⋳⪒$1307$)⩷∴(($1050$⫸⊐$2024$)⊦⊿)⪒($2426$≎⊠⪸$1513$⩨$9618$⨟⋌⩍$5219$)⨎$1001$⊴$1234$⪮%⊝($2315$⨳⩥⨓$1001$)","expression":"(≮⫘↔1101000100011⋥≓≎≮⫘↔100101010000/≮⫘↔10101110111⋳⪒≮⫘↔10100011011)⩷∴((≮⫘↔10000011010⫸⊐≮⫘↔11111101000)⊦⊿)⪒(≮⫘↔100101111010≎⊠⪸≮⫘↔10111101001⩨≮⫘↔10010110010010⨟⋌⩍≮⫘↔1010001100011)⨎≮⫘↔1111101001⊴≮⫘↔10011010010⪮%⊝(≮⫘↔100100001011⨳⩥⨓≮⫘↔1111101001)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1579,"operation_count":14,"complexity_ratio":112.78571428571429,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6691,"base":2},"right_expr":{"type":"numeric_atoms","value":2384,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1399,"base":2},"right_expr":{"type":"numeric_atoms","value":1307,"base":2}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1050,"base":2},"right_expr":{"type":"numeric_atoms","value":2024,"base":2}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2426,"base":2},"right_expr":{"type":"numeric_atoms","value":1513,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":9618,"base":2},"right_expr":{"type":"numeric_atoms","value":5219,"base":2}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1001,"base":2},"right_expr":{"type":"numeric_atoms","value":1234,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2315,"base":2},"right_expr":{"type":"numeric_atoms","value":1001,"base":2}}}}},"used_operators":["f6k1SAg4EE","9FxExcQeMw","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","14qkJME0vr","mqXw5SEYmG","rJVOvQCfKK","2DlMacCsIx","bJkvcejdHO","rGHVDoGpnC","IWmyXbctLI","Nsiff2A1zJ","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Tcnh7f0tEr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6691","layer":4},{"info":"number node, value=2384","layer":4},{"info":"compute binary expreesion, left_input=6691, right_input=2384, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1890","layer":3},{"info":"number node, value=1399","layer":4},{"info":"number node, value=1307","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=1307, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1204","layer":3},{"info":"compute binary expreesion, left_input=-1890, right_input=1204, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-2","layer":2},{"info":"number node, value=1050","layer":4},{"info":"number node, value=2024","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=2024, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7971","layer":3},{"info":"compute unary expreesion, input=7971, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-23992","layer":2},{"info":"compute binary expreesion, left_input=-2, right_input=-23992, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=47948","layer":1},{"info":"number node, value=2426","layer":4},{"info":"number node, value=1513","layer":4},{"info":"compute binary expreesion, left_input=2426, right_input=1513, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=627861","layer":3},{"info":"number node, value=9618","layer":4},{"info":"number node, value=5219","layer":4},{"info":"compute binary expreesion, left_input=9618, right_input=5219, 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=627861, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=1001","layer":4},{"info":"number node, value=1234","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=1234, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2315","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=2315, right_input=1001, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1314","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1314, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=47948, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1101000100011⋥≓≎≮⫘↔100101010000/≮⫘↔10101110111⋳⪒≮⫘↔10100011011)⩷∴((≮⫘↔10000011010⫸⊐≮⫘↔11111101000)⊦⊿)⪒(≮⫘↔100101111010≎⊠⪸≮⫘↔10111101001⩨≮⫘↔10010110010010⨟⋌⩍≮⫘↔1010001100011)⨎≮⫘↔1111101001⊴≮⫘↔10011010010⪮%⊝(≮⫘↔100100001011⨳⩥⨓≮⫘↔1111101001)=NaN","reverse_text":"NaN=(≮⫘↔1101000100011⋥≓≎≮⫘↔100101010000/≮⫘↔10101110111⋳⪒≮⫘↔10100011011)⩷∴((≮⫘↔10000011010⫸⊐≮⫘↔11111101000)⊦⊿)⪒(≮⫘↔100101111010≎⊠⪸≮⫘↔10111101001⩨≮⫘↔10010110010010⨟⋌⩍≮⫘↔1010001100011)⨎≮⫘↔1111101001⊴≮⫘↔10011010010⪮%⊝(≮⫘↔100100001011⨳⩥⨓≮⫘↔1111101001)","cot":[{"info":"≮⫘↔1101000100011⋥≓≎≮⫘↔100101010000=≮⫘↔-11101100010","layer":3},{"info":"≮⫘↔10101110111⋳⪒≮⫘↔10100011011=≮⫘↔10010110100","layer":3},{"info":"≮⫘↔-11101100010/≮⫘↔10010110100=≮⫘↔-10","layer":2},{"info":"≮⫘↔10000011010⫸⊐≮⫘↔11111101000=≮⫘↔1111100100011","layer":3},{"info":"≮⫘↔1111100100011⊦⊿=≮⫘↔-101110110111000","layer":2},{"info":"≮⫘↔-10⩷∴≮⫘↔-101110110111000=≮⫘↔1011101101001100","layer":1},{"info":"≮⫘↔100101111010≎⊠⪸≮⫘↔10111101001=≮⫘↔10011001010010010101","layer":3},{"info":"≮⫘↔10010110010010⨟⋌⩍≮⫘↔1010001100011=NaN","layer":3},{"info":"≮⫘↔10011001010010010101⩨NaN=NaN","layer":2},{"info":"≮⫘↔1111101001⊴≮⫘↔10011010010=NaN","layer":3},{"info":"≮⫘↔100100001011⨳⩥⨓≮⫘↔1111101001=≮⫘↔-10100100010","layer":3},{"info":"NaN⪮%⊝≮⫘↔-10100100010=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"≮⫘↔1011101101001100⪒NaN=NaN","layer":0}]}
{"id":849,"expression_no_base_symbol":"(↥(+⊝⨔($3975$⨪↰⇹$6714$)))⪒((⫛⫱⨽($2554$⪄$3440$))/$3123$≎⊠⪸$1196$⨸⪁$6100$∀⇚≩$2061$)","expression":"(↥(+⊝⨔(≮⫘↔111110000111⨪↰⇹≮⫘↔1101000111010)))⪒((⫛⫱⨽(≮⫘↔100111111010⪄≮⫘↔110101110000))/≮⫘↔110000110011≎⊠⪸≮⫘↔10010101100⨸⪁≮⫘↔1011111010100∀⇚≩≮⫘↔100000001101)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":48538,"operation_count":10,"complexity_ratio":4853.8,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3975,"base":2},"right_expr":{"type":"numeric_atoms","value":6714,"base":2}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2554,"base":2},"right_expr":{"type":"numeric_atoms","value":3440,"base":2}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3123,"base":2},"right_expr":{"type":"numeric_atoms","value":1196,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6100,"base":2},"right_expr":{"type":"numeric_atoms","value":2061,"base":2}}}}},"used_operators":["f6k1SAg4EE","A8NUZmVepG","DhbWaqg5eL","tmPS8pqC7x","XhwjNDsVaA","DlLNRPXxWL","SUmda5xLS4","g55IO6H4Gj","bJkvcejdHO","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rJVOvQCfKK","rysDP5nf3Z","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3975","layer":4},{"info":"number node, value=6714","layer":4},{"info":"compute binary expreesion, left_input=3975, right_input=6714, 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=3975","layer":3},{"info":"compute unary expreesion, input=3975, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=43","layer":1},{"info":"number node, value=2554","layer":4},{"info":"number node, value=3440","layer":4},{"info":"compute binary expreesion, left_input=2554, right_input=3440, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-387841","layer":3},{"info":"compute unary expreesion, input=-387841, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=3123","layer":4},{"info":"number node, value=1196","layer":4},{"info":"compute binary expreesion, left_input=3123, right_input=1196, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=808384","layer":3},{"info":"number node, value=6100","layer":4},{"info":"number node, value=2061","layer":4},{"info":"compute binary expreesion, left_input=6100, right_input=2061, 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=808384, 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=43, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↥(+⊝⨔(≮⫘↔111110000111⨪↰⇹≮⫘↔1101000111010)))⪒((⫛⫱⨽(≮⫘↔100111111010⪄≮⫘↔110101110000))/≮⫘↔110000110011≎⊠⪸≮⫘↔10010101100⨸⪁≮⫘↔1011111010100∀⇚≩≮⫘↔100000001101)=NaN","reverse_text":"NaN=(↥(+⊝⨔(≮⫘↔111110000111⨪↰⇹≮⫘↔1101000111010)))⪒((⫛⫱⨽(≮⫘↔100111111010⪄≮⫘↔110101110000))/≮⫘↔110000110011≎⊠⪸≮⫘↔10010101100⨸⪁≮⫘↔1011111010100∀⇚≩≮⫘↔100000001101)","cot":[{"info":"≮⫘↔111110000111⨪↰⇹≮⫘↔1101000111010=≮⫘↔111110000111","layer":3},{"info":"+⊝⨔≮⫘↔111110000111=≮⫘↔10111110010","layer":2},{"info":"↥≮⫘↔10111110010=≮⫘↔101011","layer":1},{"info":"≮⫘↔100111111010⪄≮⫘↔110101110000=≮⫘↔-1011110101100000001","layer":3},{"info":"⫛⫱⨽≮⫘↔-1011110101100000001=≮⫘↔0","layer":2},{"info":"≮⫘↔110000110011≎⊠⪸≮⫘↔10010101100=≮⫘↔11000101010111000000","layer":3},{"info":"≮⫘↔1011111010100∀⇚≩≮⫘↔100000001101=NaN","layer":3},{"info":"≮⫘↔11000101010111000000⨸⪁NaN=NaN","layer":2},{"info":"≮⫘↔0/NaN=NaN","layer":1},{"info":"≮⫘↔101011⪒NaN=NaN","layer":0}]}
{"id":850,"expression_no_base_symbol":"(↔($6971$+$2748$))⋓($4448$⋥≓≎$5737$⪒$1732$⨟⋌⩍$5476$)+($6063$⊠≄⫣)⊴(≤/$3110$)⫥∨⫟($2730$↛⩡⫤)⨰($1960$⨽$1667$)","expression":"(↔(≮⫘↔1101100111011+≮⫘↔101010111100))⋓(≮⫘↔1000101100000⋥≓≎≮⫘↔1011001101001⪒≮⫘↔11011000100⨟⋌⩍≮⫘↔1010101100100)+(≮⫘↔1011110101111⊠≄⫣)⊴(≤/≮⫘↔110000100110)⫥∨⫟(≮⫘↔101010101010↛⩡⫤)⨰(≮⫘↔11110101000⨽≮⫘↔11010000011)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13119,"operation_count":14,"complexity_ratio":937.0714285714286,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6971,"base":2},"right_expr":{"type":"numeric_atoms","value":2748,"base":2}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4448,"base":2},"right_expr":{"type":"numeric_atoms","value":5737,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1732,"base":2},"right_expr":{"type":"numeric_atoms","value":5476,"base":2}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":6063,"base":2}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3110,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2730,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1960,"base":2},"right_expr":{"type":"numeric_atoms","value":1667,"base":2}}}}},"used_operators":["W4YGzv6Whe","T2fj7uvVaJ","ruOEQAzv1W","f6k1SAg4EE","Qy55tPpLXF","rGHVDoGpnC","KYD54nUTWz","Nsiff2A1zJ","DIvbN7qnHd","eLAdDNolq6","eewbuw0ToL","FU0Cs4j7VP","8HhzD0ZcuI"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6971","layer":4},{"info":"number node, value=2748","layer":4},{"info":"compute binary expreesion, left_input=6971, right_input=2748, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9719","layer":3},{"info":"compute unary expreesion, input=9719, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-9446","layer":2},{"info":"number node, value=4448","layer":4},{"info":"number node, value=5737","layer":4},{"info":"compute binary expreesion, left_input=4448, right_input=5737, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7059","layer":3},{"info":"number node, value=1732","layer":4},{"info":"number node, value=5476","layer":4},{"info":"compute binary expreesion, left_input=1732, right_input=5476, 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=7059, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-9446, 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":1},{"info":"number node, value=6063","layer":4},{"info":"compute unary expreesion, input=6063, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=3110","layer":4},{"info":"compute unary expreesion, input=3110, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2626","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2626, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2730","layer":4},{"info":"compute unary expreesion, input=2730, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-408319","layer":3},{"info":"number node, value=1960","layer":4},{"info":"number node, value=1667","layer":4},{"info":"compute binary expreesion, left_input=1960, right_input=1667, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11528487","layer":3},{"info":"compute binary expreesion, left_input=-408319, right_input=-11528487, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=11120178","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11120178, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↔(≮⫘↔1101100111011+≮⫘↔101010111100))⋓(≮⫘↔1000101100000⋥≓≎≮⫘↔1011001101001⪒≮⫘↔11011000100⨟⋌⩍≮⫘↔1010101100100)+(≮⫘↔1011110101111⊠≄⫣)⊴(≤/≮⫘↔110000100110)⫥∨⫟(≮⫘↔101010101010↛⩡⫤)⨰(≮⫘↔11110101000⨽≮⫘↔11010000011)=NaN","reverse_text":"NaN=(↔(≮⫘↔1101100111011+≮⫘↔101010111100))⋓(≮⫘↔1000101100000⋥≓≎≮⫘↔1011001101001⪒≮⫘↔11011000100⨟⋌⩍≮⫘↔1010101100100)+(≮⫘↔1011110101111⊠≄⫣)⊴(≤/≮⫘↔110000100110)⫥∨⫟(≮⫘↔101010101010↛⩡⫤)⨰(≮⫘↔11110101000⨽≮⫘↔11010000011)","cot":[{"info":"≮⫘↔1101100111011+≮⫘↔101010111100=≮⫘↔10010111110111","layer":3},{"info":"↔≮⫘↔10010111110111=≮⫘↔-10010011100110","layer":2},{"info":"≮⫘↔1000101100000⋥≓≎≮⫘↔1011001101001=≮⫘↔1101110010011","layer":3},{"info":"≮⫘↔11011000100⨟⋌⩍≮⫘↔1010101100100=NaN","layer":3},{"info":"≮⫘↔1101110010011⪒NaN=NaN","layer":2},{"info":"≮⫘↔-10010011100110⋓NaN=NaN","layer":1},{"info":"≮⫘↔1011110101111⊠≄⫣=≮⫘↔0","layer":3},{"info":"≤/≮⫘↔110000100110=≮⫘↔-101001000010","layer":3},{"info":"≮⫘↔0⊴≮⫘↔-101001000010=NaN","layer":2},{"info":"≮⫘↔101010101010↛⩡⫤=≮⫘↔-1100011101011111111","layer":3},{"info":"≮⫘↔11110101000⨽≮⫘↔11010000011=≮⫘↔-101011111110100100100111","layer":3},{"info":"≮⫘↔-1100011101011111111⨰≮⫘↔-101011111110100100100111=≮⫘↔101010011010111000110010","layer":2},{"info":"NaN⫥∨⫟≮⫘↔101010011010111000110010=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":851,"expression_no_base_symbol":"($1322$⨰$1035$⋫)≹⇙⪍(($8355$⪐)⋥≓≎($5905$∧))⨵⪆(($1586$⊘)⨎($1889$-$1718$))⨟⋌⩍($2353$⊉≛↸$1045$)⪢(⨵≀≌$1132$)","expression":"(≮⫘↔10100101010⨰≮⫘↔10000001011⋫)≹⇙⪍((≮⫘↔10000010100011⪐)⋥≓≎(≮⫘↔1011100010001∧))⨵⪆((≮⫘↔11000110010⊘)⨎(≮⫘↔11101100001-≮⫘↔11010110110))⨟⋌⩍(≮⫘↔100100110001⊉≛↸≮⫘↔10000010101)⪢(⨵≀≌≮⫘↔10001101100)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":8104,"operation_count":14,"complexity_ratio":578.8571428571429,"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":1322,"base":2},"right_expr":{"type":"numeric_atoms","value":1035,"base":2}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":8355,"base":2}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":5905,"base":2}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1586,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1889,"base":2},"right_expr":{"type":"numeric_atoms","value":1718,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2353,"base":2},"right_expr":{"type":"numeric_atoms","value":1045,"base":2}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1132,"base":2}}}}},"used_operators":["2DQ55sFlQl","AHs5Up7iyr","JL8yIekQnl","eewbuw0ToL","Qy55tPpLXF","eH2TOUuTDT","z63VuFQld9","rGHVDoGpnC","rJVOvQCfKK","gu96TGCTMs","rysDP5nf3Z","dWAJyo7jo9","DZ8iAZOCBD","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1322","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=1035, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=297","layer":3},{"info":"compute unary expreesion, input=297, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=297","layer":2},{"info":"number node, value=8355","layer":4},{"info":"compute unary expreesion, input=8355, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=16710","layer":3},{"info":"number node, value=5905","layer":4},{"info":"compute unary expreesion, input=5905, 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=16710, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=297, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1586","layer":4},{"info":"compute unary expreesion, input=1586, 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=1889","layer":4},{"info":"number node, value=1718","layer":4},{"info":"compute binary expreesion, left_input=1889, right_input=1718, op_id = rysDP5nf3Z binary_op_definition= 'None', output=171","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=171, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=171","layer":2},{"info":"number node, value=2353","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=2353, right_input=1045, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4706","layer":3},{"info":"number node, value=1132","layer":4},{"info":"compute unary expreesion, input=1132, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3396","layer":3},{"info":"compute binary expreesion, left_input=4706, right_input=-3396, 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=171, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10100101010⨰≮⫘↔10000001011⋫)≹⇙⪍((≮⫘↔10000010100011⪐)⋥≓≎(≮⫘↔1011100010001∧))⨵⪆((≮⫘↔11000110010⊘)⨎(≮⫘↔11101100001-≮⫘↔11010110110))⨟⋌⩍(≮⫘↔100100110001⊉≛↸≮⫘↔10000010101)⪢(⨵≀≌≮⫘↔10001101100)=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(≮⫘↔10100101010⨰≮⫘↔10000001011⋫)≹⇙⪍((≮⫘↔10000010100011⪐)⋥≓≎(≮⫘↔1011100010001∧))⨵⪆((≮⫘↔11000110010⊘)⨎(≮⫘↔11101100001-≮⫘↔11010110110))⨟⋌⩍(≮⫘↔100100110001⊉≛↸≮⫘↔10000010101)⪢(⨵≀≌≮⫘↔10001101100)","cot":[{"info":"≮⫘↔10100101010⨰≮⫘↔10000001011=≮⫘↔100101001","layer":3},{"info":"≮⫘↔100101001⋫=≮⫘↔100101001","layer":2},{"info":"≮⫘↔10000010100011⪐=≮⫘↔100000101000110","layer":3},{"info":"≮⫘↔1011100010001∧=NaN","layer":3},{"info":"≮⫘↔100000101000110⋥≓≎NaN=NaN","layer":2},{"info":"≮⫘↔100101001≹⇙⪍NaN=NaN","layer":1},{"info":"≮⫘↔11000110010⊘=≮⫘↔0","layer":3},{"info":"≮⫘↔11101100001-≮⫘↔11010110110=≮⫘↔10101011","layer":3},{"info":"≮⫘↔0⨎≮⫘↔10101011=≮⫘↔10101011","layer":2},{"info":"≮⫘↔100100110001⊉≛↸≮⫘↔10000010101=≮⫘↔1001001100010","layer":3},{"info":"⨵≀≌≮⫘↔10001101100=≮⫘↔-110101000100","layer":3},{"info":"≮⫘↔1001001100010⪢≮⫘↔-110101000100=NaN","layer":2},{"info":"≮⫘↔10101011⨟⋌⩍NaN=NaN","layer":1},{"info":"NaN⨵⪆NaN=≮⫘↔10100000","layer":0}]}
{"id":852,"expression_no_base_symbol":"((⨵≀≌($4967$⨸⪁$1156$))≣⋋)⪘⫢(⇁⨣⪵$2856$⋓$5827$↺$1470$+⇶⊼$2820$)","expression":"((⨵≀≌(≮⫘↔1001101100111⨸⪁≮⫘↔10010000100))≣⋋)⪘⫢(⇁⨣⪵≮⫘↔101100101000⋓≮⫘↔1011011000011↺≮⫘↔10110111110+⇶⊼≮⫘↔101100000100)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":546,"operation_count":8,"complexity_ratio":68.25,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4967,"base":2},"right_expr":{"type":"numeric_atoms","value":1156,"base":2}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2856,"base":2},"right_expr":{"type":"numeric_atoms","value":5827,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1470,"base":2},"right_expr":{"type":"numeric_atoms","value":2820,"base":2}}}}},"used_operators":["oacrs7FA3X","Tcnh7f0tEr","srAu1WTS94","g55IO6H4Gj","inkyxCbjAn","7j4O788W3g","T2fj7uvVaJ","TpPTUOHfaN"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4967","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=4967, right_input=1156, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12246","layer":3},{"info":"compute unary expreesion, input=12246, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-36738","layer":2},{"info":"compute unary expreesion, input=-36738, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"number node, value=2856","layer":4},{"info":"number node, value=5827","layer":4},{"info":"compute binary expreesion, left_input=2856, right_input=5827, 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=1470","layer":4},{"info":"number node, value=2820","layer":4},{"info":"compute binary expreesion, left_input=1470, right_input=2820, 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=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":2},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨵≀≌(≮⫘↔1001101100111⨸⪁≮⫘↔10010000100))≣⋋)⪘⫢(⇁⨣⪵≮⫘↔101100101000⋓≮⫘↔1011011000011↺≮⫘↔10110111110+⇶⊼≮⫘↔101100000100)=NaN","reverse_text":"NaN=((⨵≀≌(≮⫘↔1001101100111⨸⪁≮⫘↔10010000100))≣⋋)⪘⫢(⇁⨣⪵≮⫘↔101100101000⋓≮⫘↔1011011000011↺≮⫘↔10110111110+⇶⊼≮⫘↔101100000100)","cot":[{"info":"≮⫘↔1001101100111⨸⪁≮⫘↔10010000100=≮⫘↔10111111010110","layer":3},{"info":"⨵≀≌≮⫘↔10111111010110=≮⫘↔-1000111110000010","layer":2},{"info":"≮⫘↔-1000111110000010≣⋋=≮⫘↔0","layer":1},{"info":"≮⫘↔101100101000⋓≮⫘↔1011011000011=≮⫘↔0","layer":3},{"info":"≮⫘↔10110111110+⇶⊼≮⫘↔101100000100=NaN","layer":3},{"info":"≮⫘↔0↺NaN=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"≮⫘↔0⪘⫢NaN=NaN","layer":0}]}
{"id":853,"expression_no_base_symbol":"(∥⊫(($5017$⊭↱$1565$)⇋≉))≎⊠⪸(($1307$∸)⪢(⪲⇎$4967$)⫩⊇)","expression":"(∥⊫((≮⫘↔1001110011001⊭↱≮⫘↔11000011101)⇋≉))≎⊠⪸((≮⫘↔10100011011∸)⪢(⪲⇎≮⫘↔1001101100111)⫩⊇)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10138,"operation_count":8,"complexity_ratio":1267.25,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5017,"base":2},"right_expr":{"type":"numeric_atoms","value":1565,"base":2}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1307,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4967,"base":2}}}}},"used_operators":["bJkvcejdHO","P8v4zCKN1o","XIabStNQrY","COABgblf1C","BjRHVeLaeN","dWAJyo7jo9","o20kRiQErp","XPYlsWDdGa"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5017","layer":4},{"info":"number node, value=1565","layer":4},{"info":"compute binary expreesion, left_input=5017, right_input=1565, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6899","layer":3},{"info":"compute unary expreesion, input=-6899, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-13896","layer":2},{"info":"compute unary expreesion, input=-13896, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":1},{"info":"number node, value=1307","layer":4},{"info":"compute unary expreesion, input=1307, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=4967","layer":4},{"info":"compute unary expreesion, input=4967, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=9934","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=9934, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-55, 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":2,"result_base":2,"text":"(∥⊫((≮⫘↔1001110011001⊭↱≮⫘↔11000011101)⇋≉))≎⊠⪸((≮⫘↔10100011011∸)⪢(⪲⇎≮⫘↔1001101100111)⫩⊇)=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=(∥⊫((≮⫘↔1001110011001⊭↱≮⫘↔11000011101)⇋≉))≎⊠⪸((≮⫘↔10100011011∸)⪢(⪲⇎≮⫘↔1001101100111)⫩⊇)","cot":[{"info":"≮⫘↔1001110011001⊭↱≮⫘↔11000011101=≮⫘↔-1101011110011","layer":3},{"info":"≮⫘↔-1101011110011⇋≉=≮⫘↔-11011001001000","layer":2},{"info":"∥⊫≮⫘↔-11011001001000=≮⫘↔-110111","layer":1},{"info":"≮⫘↔10100011011∸=≮⫘↔10110001","layer":3},{"info":"⪲⇎≮⫘↔1001101100111=≮⫘↔10011011001110","layer":3},{"info":"≮⫘↔10110001⪢≮⫘↔10011011001110=NaN","layer":2},{"info":"NaN⫩⊇=NaN","layer":1},{"info":"≮⫘↔-110111≎⊠⪸NaN=≮⫘↔1000011","layer":0}]}
{"id":854,"expression_no_base_symbol":"(⊥($2324$↺$8716$))⨓(-$4949$)⨪↰⇹$3497$⪮%⊝$1372$⩚⊴⇥((($1863$↙$2096$)⋫)⪄(($1353$/$1086$)⊭↱$6573$⫸⊐$3553$))","expression":"(⊥(≮⫘↔100100010100↺≮⫘↔10001000001100))⨓(-≮⫘↔1001101010101)⨪↰⇹≮⫘↔110110101001⪮%⊝≮⫘↔10101011100⩚⊴⇥(((≮⫘↔11101000111↙≮⫘↔100000110000)⋫)⪄((≮⫘↔10101001001/≮⫘↔10000111110)⊭↱≮⫘↔1100110101101⫸⊐≮⫘↔110111100001))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":18431,"operation_count":13,"complexity_ratio":1417.7692307692307,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2324,"base":2},"right_expr":{"type":"numeric_atoms","value":8716,"base":2}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4949,"base":2}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3497,"base":2},"right_expr":{"type":"numeric_atoms","value":1372,"base":2}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1863,"base":2},"right_expr":{"type":"numeric_atoms","value":2096,"base":2}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1353,"base":2},"right_expr":{"type":"numeric_atoms","value":1086,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6573,"base":2},"right_expr":{"type":"numeric_atoms","value":3553,"base":2}}}}},"used_operators":["NTOWxs364D","3ViojmjbAp","Q3PJZHRvZv","7j4O788W3g","tmPS8pqC7x","t8gj7n24qd","IWmyXbctLI","SUmda5xLS4","JL8yIekQnl","yyfyN0ffXY","COABgblf1C","XhwjNDsVaA","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"≮⫘↔1101010100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2324","layer":4},{"info":"number node, value=8716","layer":4},{"info":"compute binary expreesion, left_input=2324, right_input=8716, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=8716","layer":3},{"info":"compute unary expreesion, input=8716, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=4949","layer":4},{"info":"compute unary expreesion, input=4949, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4949","layer":3},{"info":"number node, value=3497","layer":4},{"info":"number node, value=1372","layer":4},{"info":"compute binary expreesion, left_input=3497, right_input=1372, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7310","layer":3},{"info":"compute binary expreesion, left_input=-4949, right_input=7310, 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=4949","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4949, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4952","layer":1},{"info":"number node, value=1863","layer":4},{"info":"number node, value=2096","layer":4},{"info":"compute binary expreesion, left_input=1863, right_input=2096, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6288","layer":3},{"info":"compute unary expreesion, input=-6288, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-6288","layer":2},{"info":"number node, value=1353","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=1086, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=6573","layer":4},{"info":"number node, value=3553","layer":4},{"info":"compute binary expreesion, left_input=6573, right_input=3553, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14087","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=14087, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=28177","layer":2},{"info":"compute binary expreesion, left_input=-6288, right_input=28177, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=-4952, right_input=3979, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=852","layer":0}],"base":2,"result_base":2,"text":"(⊥(≮⫘↔100100010100↺≮⫘↔10001000001100))⨓(-≮⫘↔1001101010101)⨪↰⇹≮⫘↔110110101001⪮%⊝≮⫘↔10101011100⩚⊴⇥(((≮⫘↔11101000111↙≮⫘↔100000110000)⋫)⪄((≮⫘↔10101001001/≮⫘↔10000111110)⊭↱≮⫘↔1100110101101⫸⊐≮⫘↔110111100001))=≮⫘↔1101010100","reverse_text":"≮⫘↔1101010100=(⊥(≮⫘↔100100010100↺≮⫘↔10001000001100))⨓(-≮⫘↔1001101010101)⨪↰⇹≮⫘↔110110101001⪮%⊝≮⫘↔10101011100⩚⊴⇥(((≮⫘↔11101000111↙≮⫘↔100000110000)⋫)⪄((≮⫘↔10101001001/≮⫘↔10000111110)⊭↱≮⫘↔1100110101101⫸⊐≮⫘↔110111100001))","cot":[{"info":"≮⫘↔100100010100↺≮⫘↔10001000001100=≮⫘↔10001000001100","layer":3},{"info":"⊥≮⫘↔10001000001100=NaN","layer":2},{"info":"-≮⫘↔1001101010101=≮⫘↔-1001101010101","layer":3},{"info":"≮⫘↔110110101001⪮%⊝≮⫘↔10101011100=≮⫘↔1110010001110","layer":3},{"info":"≮⫘↔-1001101010101⨪↰⇹≮⫘↔1110010001110=≮⫘↔1001101010101","layer":2},{"info":"NaN⨓≮⫘↔1001101010101=≮⫘↔-1001101011000","layer":1},{"info":"≮⫘↔11101000111↙≮⫘↔100000110000=≮⫘↔-1100010010000","layer":3},{"info":"≮⫘↔-1100010010000⋫=≮⫘↔-1100010010000","layer":2},{"info":"≮⫘↔10101001001/≮⫘↔10000111110=≮⫘↔1","layer":3},{"info":"≮⫘↔1100110101101⫸⊐≮⫘↔110111100001=≮⫘↔11011100000111","layer":3},{"info":"≮⫘↔1⊭↱≮⫘↔11011100000111=≮⫘↔110111000010001","layer":2},{"info":"≮⫘↔-1100010010000⪄≮⫘↔110111000010001=≮⫘↔111110001011","layer":1},{"info":"≮⫘↔-1001101011000⩚⊴⇥≮⫘↔111110001011=≮⫘↔1101010100","layer":0}]}
{"id":855,"expression_no_base_symbol":"⇁⨣⪵($2652$⪮%⊝$6846$*($1570$/$3108$))⪢($2527$⩠)⪢($1776$∀⇚≩$1283$)","expression":"⇁⨣⪵(≮⫘↔101001011100⪮%⊝≮⫘↔1101010111110*(≮⫘↔11000100010/≮⫘↔110000100100))⪢(≮⫘↔100111011111⩠)⪢(≮⫘↔11011110000∀⇚≩≮⫘↔10100000011)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12464,"operation_count":8,"complexity_ratio":1558.0,"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":2652,"base":2},"right_expr":{"type":"numeric_atoms","value":6846,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1570,"base":2},"right_expr":{"type":"numeric_atoms","value":3108,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2527,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1776,"base":2},"right_expr":{"type":"numeric_atoms","value":1283,"base":2}}}}},"used_operators":["inkyxCbjAn","dWAJyo7jo9","9HNa5Wba9A","IWmyXbctLI","XhwjNDsVaA","sJAwomhLZr","LRNGc0VcxI"],"dependent_operators":["B5M0gjZbta","k8jYdgA6NY","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=2652","layer":4},{"info":"number node, value=6846","layer":4},{"info":"compute binary expreesion, left_input=2652, right_input=6846, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5620","layer":3},{"info":"number node, value=1570","layer":4},{"info":"number node, value=3108","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=3108, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=5620, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=2527","layer":4},{"info":"compute unary expreesion, input=2527, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1776","layer":4},{"info":"number node, value=1283","layer":4},{"info":"compute binary expreesion, left_input=1776, right_input=1283, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 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=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":1},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⇁⨣⪵(≮⫘↔101001011100⪮%⊝≮⫘↔1101010111110*(≮⫘↔11000100010/≮⫘↔110000100100))⪢(≮⫘↔100111011111⩠)⪢(≮⫘↔11011110000∀⇚≩≮⫘↔10100000011)=NaN","reverse_text":"NaN=⇁⨣⪵(≮⫘↔101001011100⪮%⊝≮⫘↔1101010111110*(≮⫘↔11000100010/≮⫘↔110000100100))⪢(≮⫘↔100111011111⩠)⪢(≮⫘↔11011110000∀⇚≩≮⫘↔10100000011)","cot":[{"info":"≮⫘↔101001011100⪮%⊝≮⫘↔1101010111110=≮⫘↔1010111110100","layer":3},{"info":"≮⫘↔11000100010/≮⫘↔110000100100=≮⫘↔0","layer":3},{"info":"≮⫘↔1010111110100*≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔100111011111⩠=≮⫘↔0","layer":3},{"info":"≮⫘↔11011110000∀⇚≩≮⫘↔10100000011=NaN","layer":3},{"info":"≮⫘↔0⪢NaN=NaN","layer":2},{"info":"≮⫘↔0⪢NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":856,"expression_no_base_symbol":"($6971$↬$3740$≎⊠⪸($2870$⩨$4185$))⋓($2167$⨰$8243$)⊴($1067$*$5684$)⩷∴((($4236$⨁⊸⫻)/$5033$≭$1588$)⨸⪁(⊥$4305$≹⇙⪍$1446$))","expression":"(≮⫘↔1101100111011↬≮⫘↔111010011100≎⊠⪸(≮⫘↔101100110110⩨≮⫘↔1000001011001))⋓(≮⫘↔100001110111⨰≮⫘↔10000000110011)⊴(≮⫘↔10000101011*≮⫘↔1011000110100)⩷∴(((≮⫘↔1000010001100⨁⊸⫻)/≮⫘↔1001110101001≭≮⫘↔11000110100)⨸⪁(⊥≮⫘↔1000011010001≹⇙⪍≮⫘↔10110100110))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1124,"operation_count":14,"complexity_ratio":80.28571428571429,"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":6971,"base":2},"right_expr":{"type":"numeric_atoms","value":3740,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2870,"base":2},"right_expr":{"type":"numeric_atoms","value":4185,"base":2}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2167,"base":2},"right_expr":{"type":"numeric_atoms","value":8243,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1067,"base":2},"right_expr":{"type":"numeric_atoms","value":5684,"base":2}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":4236,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5033,"base":2},"right_expr":{"type":"numeric_atoms","value":1588,"base":2}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4305,"base":2},"right_expr":{"type":"numeric_atoms","value":1446,"base":2}}}}},"used_operators":["9FxExcQeMw","T2fj7uvVaJ","bJkvcejdHO","B5M0gjZbta","2DlMacCsIx","Nsiff2A1zJ","eewbuw0ToL","9HNa5Wba9A","g55IO6H4Gj","XhwjNDsVaA","glklzrTFfD","rxpJgHHUmx","Q3PJZHRvZv","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","fu6greOZ01","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6971","layer":4},{"info":"number node, value=3740","layer":4},{"info":"compute binary expreesion, left_input=6971, right_input=3740, 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=2870","layer":4},{"info":"number node, value=4185","layer":4},{"info":"compute binary expreesion, left_input=2870, right_input=4185, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":2},{"info":"number node, value=2167","layer":4},{"info":"number node, value=8243","layer":4},{"info":"compute binary expreesion, left_input=2167, right_input=8243, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-6066","layer":3},{"info":"number node, value=1067","layer":4},{"info":"number node, value=5684","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=5684, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6064828","layer":3},{"info":"compute binary expreesion, left_input=-6066, right_input=6064828, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":1},{"info":"number node, value=4236","layer":4},{"info":"compute unary expreesion, input=4236, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4236","layer":3},{"info":"number node, value=5033","layer":4},{"info":"number node, value=1588","layer":4},{"info":"compute binary expreesion, left_input=5033, right_input=1588, 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=4236, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4305","layer":4},{"info":"number node, value=1446","layer":4},{"info":"compute binary expreesion, left_input=4305, right_input=1446, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1101100111011↬≮⫘↔111010011100≎⊠⪸(≮⫘↔101100110110⩨≮⫘↔1000001011001))⋓(≮⫘↔100001110111⨰≮⫘↔10000000110011)⊴(≮⫘↔10000101011*≮⫘↔1011000110100)⩷∴(((≮⫘↔1000010001100⨁⊸⫻)/≮⫘↔1001110101001≭≮⫘↔11000110100)⨸⪁(⊥≮⫘↔1000011010001≹⇙⪍≮⫘↔10110100110))=NaN","reverse_text":"NaN=(≮⫘↔1101100111011↬≮⫘↔111010011100≎⊠⪸(≮⫘↔101100110110⩨≮⫘↔1000001011001))⋓(≮⫘↔100001110111⨰≮⫘↔10000000110011)⊴(≮⫘↔10000101011*≮⫘↔1011000110100)⩷∴(((≮⫘↔1000010001100⨁⊸⫻)/≮⫘↔1001110101001≭≮⫘↔11000110100)⨸⪁(⊥≮⫘↔1000011010001≹⇙⪍≮⫘↔10110100110))","cot":[{"info":"≮⫘↔1101100111011↬≮⫘↔111010011100=NaN","layer":3},{"info":"≮⫘↔101100110110⩨≮⫘↔1000001011001=≮⫘↔-11","layer":3},{"info":"NaN≎⊠⪸≮⫘↔-11=NaN","layer":2},{"info":"≮⫘↔100001110111⨰≮⫘↔10000000110011=≮⫘↔-1011110110010","layer":3},{"info":"≮⫘↔10000101011*≮⫘↔1011000110100=≮⫘↔10111001000101010111100","layer":3},{"info":"≮⫘↔-1011110110010⊴≮⫘↔10111001000101010111100=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"≮⫘↔1000010001100⨁⊸⫻=≮⫘↔1000010001100","layer":3},{"info":"≮⫘↔1001110101001≭≮⫘↔11000110100=NaN","layer":3},{"info":"≮⫘↔1000010001100/NaN=NaN","layer":2},{"info":"≮⫘↔1000011010001≹⇙⪍≮⫘↔10110100110=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":857,"expression_no_base_symbol":"(⩦⩻⨪(+⊝⨔$1098$)≭$1922$≹⇙⪍$5293$)⨎(($1576$≭$1545$)≧⫂∧($1050$%$2281$)⨵⪆($3488$≭$4144$⪨≂($5421$⇋≉)))","expression":"(⩦⩻⨪(+⊝⨔≮⫘↔10001001010)≭≮⫘↔11110000010≹⇙⪍≮⫘↔1010010101101)⨎((≮⫘↔11000101000≭≮⫘↔11000001001)≧⫂∧(≮⫘↔10000011010%≮⫘↔100011101001)⨵⪆(≮⫘↔110110100000≭≮⫘↔1000000110000⪨≂(≮⫘↔1010100101101⇋≉)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":59,"operation_count":12,"complexity_ratio":4.916666666666667,"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":1098,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1922,"base":2},"right_expr":{"type":"numeric_atoms","value":5293,"base":2}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1576,"base":2},"right_expr":{"type":"numeric_atoms","value":1545,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1050,"base":2},"right_expr":{"type":"numeric_atoms","value":2281,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3488,"base":2},"right_expr":{"type":"numeric_atoms","value":4144,"base":2}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":5421,"base":2}}}}},"used_operators":["rJVOvQCfKK","2td37pGCOC","rxpJgHHUmx","DhbWaqg5eL","AHs5Up7iyr","2DQ55sFlQl","Ph9nP6C5qx","k8jYdgA6NY","sdazOOVcIp","XIabStNQrY"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1098","layer":4},{"info":"compute unary expreesion, input=1098, 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=1922","layer":4},{"info":"number node, value=5293","layer":4},{"info":"compute binary expreesion, left_input=1922, right_input=5293, 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=1522, 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 unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=1576","layer":4},{"info":"number node, value=1545","layer":4},{"info":"compute binary expreesion, left_input=1576, right_input=1545, 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=1050","layer":4},{"info":"number node, value=2281","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=2281, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1050","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1050, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=577","layer":2},{"info":"number node, value=3488","layer":4},{"info":"number node, value=4144","layer":4},{"info":"compute binary expreesion, left_input=3488, right_input=4144, 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=5421","layer":4},{"info":"compute unary expreesion, input=5421, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=10744","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10744, 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":"compute binary expreesion, left_input=577, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(⩦⩻⨪(+⊝⨔≮⫘↔10001001010)≭≮⫘↔11110000010≹⇙⪍≮⫘↔1010010101101)⨎((≮⫘↔11000101000≭≮⫘↔11000001001)≧⫂∧(≮⫘↔10000011010%≮⫘↔100011101001)⨵⪆(≮⫘↔110110100000≭≮⫘↔1000000110000⪨≂(≮⫘↔1010100101101⇋≉)))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(⩦⩻⨪(+⊝⨔≮⫘↔10001001010)≭≮⫘↔11110000010≹⇙⪍≮⫘↔1010010101101)⨎((≮⫘↔11000101000≭≮⫘↔11000001001)≧⫂∧(≮⫘↔10000011010%≮⫘↔100011101001)⨵⪆(≮⫘↔110110100000≭≮⫘↔1000000110000⪨≂(≮⫘↔1010100101101⇋≉)))","cot":[{"info":"+⊝⨔≮⫘↔10001001010=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔11110000010≹⇙⪍≮⫘↔1010010101101=NaN","layer":3},{"info":"≮⫘↔10111110010≭NaN=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"≮⫘↔11000101000≭≮⫘↔11000001001=NaN","layer":3},{"info":"≮⫘↔10000011010%≮⫘↔100011101001=≮⫘↔10000011010","layer":3},{"info":"NaN≧⫂∧≮⫘↔10000011010=≮⫘↔1001000001","layer":2},{"info":"≮⫘↔110110100000≭≮⫘↔1000000110000=NaN","layer":3},{"info":"≮⫘↔1010100101101⇋≉=≮⫘↔10100111111000","layer":3},{"info":"NaN⪨≂≮⫘↔10100111111000=NaN","layer":2},{"info":"≮⫘↔1001000001⨵⪆NaN=≮⫘↔10100000","layer":1},{"info":"NaN⨎≮⫘↔10100000=≮⫘↔10100000","layer":0}]}
{"id":858,"expression_no_base_symbol":"((↯⪼(≉$1239$))⨵⪆(⩦⩻⨪$2059$)⨽$8556$↬$3905$)⇼⇔∾($2352$⊉≛↸$1868$*$5527$↬$6932$⊭↱(⨞⊢$6488$)⪛$2850$⪢$2115$)","expression":"((↯⪼(≉≮⫘↔10011010111))⨵⪆(⩦⩻⨪≮⫘↔100000001011)⨽≮⫘↔10000101101100↬≮⫘↔111101000001)⇼⇔∾(≮⫘↔100100110000⊉≛↸≮⫘↔11101001100*≮⫘↔1010110010111↬≮⫘↔1101100010100⊭↱(⨞⊢≮⫘↔1100101011000)⪛≮⫘↔101100100010⪢≮⫘↔100001000011)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4271,"operation_count":14,"complexity_ratio":305.07142857142856,"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":1239,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2059,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":8556,"base":2},"right_expr":{"type":"numeric_atoms","value":3905,"base":2}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2352,"base":2},"right_expr":{"type":"numeric_atoms","value":1868,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5527,"base":2},"right_expr":{"type":"numeric_atoms","value":6932,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":6488,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2850,"base":2},"right_expr":{"type":"numeric_atoms","value":2115,"base":2}}}}},"used_operators":["tifHPKVTfV","2DQ55sFlQl","8jW3W4yZS5","e1ybzncUwg","8HhzD0ZcuI","2td37pGCOC","B5M0gjZbta","COABgblf1C","9HNa5Wba9A","DZ8iAZOCBD","uFcxV4UQCh","xUOZtlo3hN","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1239","layer":4},{"info":"compute unary expreesion, input=1239, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1770","layer":3},{"info":"compute unary expreesion, input=1770, 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=2059","layer":4},{"info":"compute unary expreesion, input=2059, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2059","layer":3},{"info":"number node, value=8556","layer":4},{"info":"number node, value=3905","layer":4},{"info":"compute binary expreesion, left_input=8556, right_input=3905, 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=2059, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2352","layer":4},{"info":"number node, value=1868","layer":4},{"info":"compute binary expreesion, left_input=2352, right_input=1868, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4704","layer":3},{"info":"number node, value=5527","layer":4},{"info":"number node, value=6932","layer":4},{"info":"compute binary expreesion, left_input=5527, right_input=6932, 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=4704, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=6488","layer":4},{"info":"compute unary expreesion, input=6488, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6662","layer":3},{"info":"number node, value=2850","layer":4},{"info":"number node, value=2115","layer":4},{"info":"compute binary expreesion, left_input=2850, right_input=2115, 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=-6662, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((↯⪼(≉≮⫘↔10011010111))⨵⪆(⩦⩻⨪≮⫘↔100000001011)⨽≮⫘↔10000101101100↬≮⫘↔111101000001)⇼⇔∾(≮⫘↔100100110000⊉≛↸≮⫘↔11101001100*≮⫘↔1010110010111↬≮⫘↔1101100010100⊭↱(⨞⊢≮⫘↔1100101011000)⪛≮⫘↔101100100010⪢≮⫘↔100001000011)=NaN","reverse_text":"NaN=((↯⪼(≉≮⫘↔10011010111))⨵⪆(⩦⩻⨪≮⫘↔100000001011)⨽≮⫘↔10000101101100↬≮⫘↔111101000001)⇼⇔∾(≮⫘↔100100110000⊉≛↸≮⫘↔11101001100*≮⫘↔1010110010111↬≮⫘↔1101100010100⊭↱(⨞⊢≮⫘↔1100101011000)⪛≮⫘↔101100100010⪢≮⫘↔100001000011)","cot":[{"info":"≉≮⫘↔10011010111=≮⫘↔11011101010","layer":3},{"info":"↯⪼≮⫘↔11011101010=≮⫘↔-10101","layer":2},{"info":"⩦⩻⨪≮⫘↔100000001011=≮⫘↔100000001011","layer":3},{"info":"≮⫘↔10000101101100↬≮⫘↔111101000001=NaN","layer":3},{"info":"≮⫘↔100000001011⨽NaN=NaN","layer":2},{"info":"≮⫘↔-10101⨵⪆NaN=≮⫘↔10100000","layer":1},{"info":"≮⫘↔100100110000⊉≛↸≮⫘↔11101001100=≮⫘↔1001001100000","layer":3},{"info":"≮⫘↔1010110010111↬≮⫘↔1101100010100=NaN","layer":3},{"info":"≮⫘↔1001001100000*NaN=NaN","layer":2},{"info":"⨞⊢≮⫘↔1100101011000=≮⫘↔-1101000000110","layer":3},{"info":"≮⫘↔101100100010⪢≮⫘↔100001000011=NaN","layer":3},{"info":"≮⫘↔-1101000000110⪛NaN=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"≮⫘↔10100000⇼⇔∾NaN=NaN","layer":0}]}
{"id":859,"expression_no_base_symbol":"+⊝⨔(⨈⫕(⨞⊢($5139$⊉≛↸$3213$)))","expression":"+⊝⨔(⨈⫕(⨞⊢(≮⫘↔1010000010011⊉≛↸≮⫘↔110010001101)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":410,"operation_count":4,"complexity_ratio":102.5,"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":5139,"base":2},"right_expr":{"type":"numeric_atoms","value":3213,"base":2}}}}},"used_operators":["DhbWaqg5eL","megm06wKyl","xUOZtlo3hN","DZ8iAZOCBD"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔10111110010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5139","layer":4},{"info":"number node, value=3213","layer":4},{"info":"compute binary expreesion, left_input=5139, right_input=3213, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10278","layer":3},{"info":"compute unary expreesion, input=10278, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-10452","layer":2},{"info":"compute unary expreesion, input=-10452, 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 = 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":2,"result_base":2,"text":"+⊝⨔(⨈⫕(⨞⊢(≮⫘↔1010000010011⊉≛↸≮⫘↔110010001101)))=≮⫘↔10111110010","reverse_text":"≮⫘↔10111110010=+⊝⨔(⨈⫕(⨞⊢(≮⫘↔1010000010011⊉≛↸≮⫘↔110010001101)))","cot":[{"info":"≮⫘↔1010000010011⊉≛↸≮⫘↔110010001101=≮⫘↔10100000100110","layer":3},{"info":"⨞⊢≮⫘↔10100000100110=≮⫘↔-10100011010100","layer":2},{"info":"⨈⫕≮⫘↔-10100011010100=≮⫘↔-10101","layer":1},{"info":"+⊝⨔≮⫘↔-10101=≮⫘↔10111110010","layer":0}]}
{"id":860,"expression_no_base_symbol":"(((⨑⩽⪐$1122$)⊭↱($1117$⊭↱$1737$))≧⫂∧($1174$⨵⪆$2916$)⪢(⨞⊢$6784$))≹⇙⪍((($1552$-$4131$)⫌⩹⨱)⩷∴($7226$⩚⊴⇥$1465$↪⪝))","expression":"(((⨑⩽⪐≮⫘↔10001100010)⊭↱(≮⫘↔10001011101⊭↱≮⫘↔11011001001))≧⫂∧(≮⫘↔10010010110⨵⪆≮⫘↔101101100100)⪢(⨞⊢≮⫘↔1101010000000))≹⇙⪍(((≮⫘↔11000010000-≮⫘↔1000000100011)⫌⩹⨱)⩷∴(≮⫘↔1110000111010⩚⊴⇥≮⫘↔10110111001↪⪝))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7696,"operation_count":13,"complexity_ratio":592.0,"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":1122,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1117,"base":2},"right_expr":{"type":"numeric_atoms","value":1737,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1174,"base":2},"right_expr":{"type":"numeric_atoms","value":2916,"base":2}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":6784,"base":2}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1552,"base":2},"right_expr":{"type":"numeric_atoms","value":4131,"base":2}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":7226,"base":2},"right_expr":{"type":"numeric_atoms","value":1465,"base":2}}}}},"used_operators":["AHs5Up7iyr","Ph9nP6C5qx","COABgblf1C","AF7qkfDlqP","dWAJyo7jo9","2DQ55sFlQl","xUOZtlo3hN","9FxExcQeMw","EBcxylXtPf","rysDP5nf3Z","l07mrZUIn9","NTOWxs364D"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1122","layer":4},{"info":"compute unary expreesion, input=1122, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-849","layer":3},{"info":"number node, value=1117","layer":4},{"info":"number node, value=1737","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=1737, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1245","layer":3},{"info":"compute binary expreesion, left_input=-849, right_input=1245, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4193","layer":2},{"info":"number node, value=1174","layer":4},{"info":"number node, value=2916","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=2916, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=6784","layer":4},{"info":"compute unary expreesion, input=6784, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6958","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-6958, 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=4193, 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=1552","layer":4},{"info":"number node, value=4131","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=4131, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2579","layer":3},{"info":"compute unary expreesion, input=-2579, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-3757","layer":2},{"info":"number node, value=7226","layer":4},{"info":"number node, value=1465","layer":4},{"info":"compute binary expreesion, left_input=7226, right_input=1465, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8812","layer":3},{"info":"compute unary expreesion, input=-8812, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-539135784","layer":2},{"info":"compute binary expreesion, left_input=-3757, right_input=-539135784, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1078264022","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1078264022, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((⨑⩽⪐≮⫘↔10001100010)⊭↱(≮⫘↔10001011101⊭↱≮⫘↔11011001001))≧⫂∧(≮⫘↔10010010110⨵⪆≮⫘↔101101100100)⪢(⨞⊢≮⫘↔1101010000000))≹⇙⪍(((≮⫘↔11000010000-≮⫘↔1000000100011)⫌⩹⨱)⩷∴(≮⫘↔1110000111010⩚⊴⇥≮⫘↔10110111001↪⪝))=NaN","reverse_text":"NaN=(((⨑⩽⪐≮⫘↔10001100010)⊭↱(≮⫘↔10001011101⊭↱≮⫘↔11011001001))≧⫂∧(≮⫘↔10010010110⨵⪆≮⫘↔101101100100)⪢(⨞⊢≮⫘↔1101010000000))≹⇙⪍(((≮⫘↔11000010000-≮⫘↔1000000100011)⫌⩹⨱)⩷∴(≮⫘↔1110000111010⩚⊴⇥≮⫘↔10110111001↪⪝))","cot":[{"info":"⨑⩽⪐≮⫘↔10001100010=≮⫘↔-1101010001","layer":3},{"info":"≮⫘↔10001011101⊭↱≮⫘↔11011001001=≮⫘↔10011011101","layer":3},{"info":"≮⫘↔-1101010001⊭↱≮⫘↔10011011101=≮⫘↔1000001100001","layer":2},{"info":"≮⫘↔10010010110⨵⪆≮⫘↔101101100100=≮⫘↔10100000","layer":3},{"info":"⨞⊢≮⫘↔1101010000000=≮⫘↔-1101100101110","layer":3},{"info":"≮⫘↔10100000⪢≮⫘↔-1101100101110=NaN","layer":2},{"info":"≮⫘↔1000001100001≧⫂∧NaN=NaN","layer":1},{"info":"≮⫘↔11000010000-≮⫘↔1000000100011=≮⫘↔-101000010011","layer":3},{"info":"≮⫘↔-101000010011⫌⩹⨱=≮⫘↔-111010101101","layer":2},{"info":"≮⫘↔1110000111010⩚⊴⇥≮⫘↔10110111001=≮⫘↔-10001001101100","layer":3},{"info":"≮⫘↔-10001001101100↪⪝=≮⫘↔-100000001000101000111100101000","layer":2},{"info":"≮⫘↔-111010101101⩷∴≮⫘↔-100000001000101000111100101000=≮⫘↔1000000010001010000000011010110","layer":1},{"info":"NaN≹⇙⪍≮⫘↔1000000010001010000000011010110=NaN","layer":0}]}
{"id":861,"expression_no_base_symbol":"(($4081$⨵⪆$5663$)⨎($1290$⫸⊐$6603$)⋷(⊙↵-(⫛⫱⨽$3687$)))⊭↱((≦∁$6131$)⊦⊿)⪘⫢((⨰⫟⨤$1738$)⩠)","expression":"((≮⫘↔111111110001⨵⪆≮⫘↔1011000011111)⨎(≮⫘↔10100001010⫸⊐≮⫘↔1100111001011)⋷(⊙↵-(⫛⫱⨽≮⫘↔111001100111)))⊭↱((≦∁≮⫘↔1011111110011)⊦⊿)⪘⫢((⨰⫟⨤≮⫘↔11011001010)⩠)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7630,"operation_count":12,"complexity_ratio":635.8333333333334,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4081,"base":2},"right_expr":{"type":"numeric_atoms","value":5663,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1290,"base":2},"right_expr":{"type":"numeric_atoms","value":6603,"base":2}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3687,"base":2}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":6131,"base":2}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1738,"base":2}}}}},"used_operators":["COABgblf1C","23Mk6UjR3U","rJVOvQCfKK","2DQ55sFlQl","mqXw5SEYmG","oWn0xqSxBt","DlLNRPXxWL","oacrs7FA3X","14qkJME0vr","9ICcGScMcE","sJAwomhLZr","Tw270M8GLb"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4081","layer":4},{"info":"number node, value=5663","layer":4},{"info":"compute binary expreesion, left_input=4081, right_input=5663, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1290","layer":4},{"info":"number node, value=6603","layer":4},{"info":"compute binary expreesion, left_input=1290, right_input=6603, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=26287","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=26287, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=26287","layer":2},{"info":"number node, value=3687","layer":4},{"info":"compute unary expreesion, input=3687, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=26287, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-26287","layer":1},{"info":"number node, value=6131","layer":4},{"info":"compute unary expreesion, input=6131, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=6131","layer":3},{"info":"compute unary expreesion, input=6131, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-18472","layer":2},{"info":"number node, value=1738","layer":4},{"info":"compute unary expreesion, input=1738, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-18472, 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":"compute binary expreesion, left_input=-26287, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111111110001⨵⪆≮⫘↔1011000011111)⨎(≮⫘↔10100001010⫸⊐≮⫘↔1100111001011)⋷(⊙↵-(⫛⫱⨽≮⫘↔111001100111)))⊭↱((≦∁≮⫘↔1011111110011)⊦⊿)⪘⫢((⨰⫟⨤≮⫘↔11011001010)⩠)=NaN","reverse_text":"NaN=((≮⫘↔111111110001⨵⪆≮⫘↔1011000011111)⨎(≮⫘↔10100001010⫸⊐≮⫘↔1100111001011)⋷(⊙↵-(⫛⫱⨽≮⫘↔111001100111)))⊭↱((≦∁≮⫘↔1011111110011)⊦⊿)⪘⫢((⨰⫟⨤≮⫘↔11011001010)⩠)","cot":[{"info":"≮⫘↔111111110001⨵⪆≮⫘↔1011000011111=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10100001010⫸⊐≮⫘↔1100111001011=≮⫘↔110011010101111","layer":3},{"info":"≮⫘↔10100000⨎≮⫘↔110011010101111=≮⫘↔110011010101111","layer":2},{"info":"⫛⫱⨽≮⫘↔111001100111=≮⫘↔0","layer":3},{"info":"⊙↵-≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔110011010101111⋷≮⫘↔0=≮⫘↔-110011010101111","layer":1},{"info":"≦∁≮⫘↔1011111110011=≮⫘↔1011111110011","layer":3},{"info":"≮⫘↔1011111110011⊦⊿=≮⫘↔-100100000101000","layer":2},{"info":"⨰⫟⨤≮⫘↔11011001010=NaN","layer":3},{"info":"NaN⩠=NaN","layer":2},{"info":"≮⫘↔-100100000101000⪘⫢NaN=NaN","layer":1},{"info":"≮⫘↔-110011010101111⊭↱NaN=NaN","layer":0}]}
{"id":862,"expression_no_base_symbol":"((($3229$⨁⊸⫻)+($2023$⫡⨏$1293$))≣⋋)⪛((-($5395$≦≮≮))⪄($4628$⊴$1037$*$1584$⨰$1491$))","expression":"(((≮⫘↔110010011101⨁⊸⫻)+(≮⫘↔11111100111⫡⨏≮⫘↔10100001101))≣⋋)⪛((-(≮⫘↔1010100010011≦≮≮))⪄(≮⫘↔1001000010100⊴≮⫘↔10000001101*≮⫘↔11000110000⨰≮⫘↔10111010011))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3433,"operation_count":11,"complexity_ratio":312.09090909090907,"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":3229,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2023,"base":2},"right_expr":{"type":"numeric_atoms","value":1293,"base":2}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":5395,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4628,"base":2},"right_expr":{"type":"numeric_atoms","value":1037,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1584,"base":2},"right_expr":{"type":"numeric_atoms","value":1491,"base":2}}}}},"used_operators":["uFcxV4UQCh","Tcnh7f0tEr","W4YGzv6Whe","glklzrTFfD","QMFrweE19q","SUmda5xLS4","t8gj7n24qd","D4vGDi5EA2","9HNa5Wba9A","Nsiff2A1zJ","eewbuw0ToL"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3229","layer":4},{"info":"compute unary expreesion, input=3229, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3229","layer":3},{"info":"number node, value=2023","layer":4},{"info":"number node, value=1293","layer":4},{"info":"compute binary expreesion, left_input=2023, right_input=1293, 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=13484","layer":3},{"info":"compute binary expreesion, left_input=3229, right_input=13484, op_id = W4YGzv6Whe binary_op_definition= 'None', output=16713","layer":2},{"info":"compute unary expreesion, input=16713, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"number node, value=5395","layer":4},{"info":"compute unary expreesion, input=5395, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-16185","layer":3},{"info":"compute unary expreesion, input=-16185, op_id = t8gj7n24qd, unary_op_definition = 'None', output=16185","layer":2},{"info":"number node, value=4628","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=4628, right_input=1037, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1584","layer":4},{"info":"number node, value=1491","layer":4},{"info":"compute binary expreesion, left_input=1584, right_input=1491, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=103","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=103, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=16185, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔110010011101⨁⊸⫻)+(≮⫘↔11111100111⫡⨏≮⫘↔10100001101))≣⋋)⪛((-(≮⫘↔1010100010011≦≮≮))⪄(≮⫘↔1001000010100⊴≮⫘↔10000001101*≮⫘↔11000110000⨰≮⫘↔10111010011))=NaN","reverse_text":"NaN=(((≮⫘↔110010011101⨁⊸⫻)+(≮⫘↔11111100111⫡⨏≮⫘↔10100001101))≣⋋)⪛((-(≮⫘↔1010100010011≦≮≮))⪄(≮⫘↔1001000010100⊴≮⫘↔10000001101*≮⫘↔11000110000⨰≮⫘↔10111010011))","cot":[{"info":"≮⫘↔110010011101⨁⊸⫻=≮⫘↔110010011101","layer":3},{"info":"≮⫘↔11111100111⫡⨏≮⫘↔10100001101=≮⫘↔11010010101100","layer":3},{"info":"≮⫘↔110010011101+≮⫘↔11010010101100=≮⫘↔100000101001001","layer":2},{"info":"≮⫘↔100000101001001≣⋋=≮⫘↔0","layer":1},{"info":"≮⫘↔1010100010011≦≮≮=≮⫘↔-11111100111001","layer":3},{"info":"-≮⫘↔-11111100111001=≮⫘↔11111100111001","layer":2},{"info":"≮⫘↔1001000010100⊴≮⫘↔10000001101=NaN","layer":3},{"info":"≮⫘↔11000110000⨰≮⫘↔10111010011=≮⫘↔1100111","layer":3},{"info":"NaN*≮⫘↔1100111=NaN","layer":2},{"info":"≮⫘↔11111100111001⪄NaN=NaN","layer":1},{"info":"≮⫘↔0⪛NaN=NaN","layer":0}]}
{"id":863,"expression_no_base_symbol":"((⨰⫟⨤($5570$+⇶⊼$1106$))⨎(∂($2896$∲⫓$5500$)))∀⇚≩(⪲⇎$6918$⪮%⊝$1390$↬($1036$+$3645$))","expression":"((⨰⫟⨤(≮⫘↔1010111000010+⇶⊼≮⫘↔10001010010))⨎(∂(≮⫘↔101101010000∲⫓≮⫘↔1010101111100)))∀⇚≩(⪲⇎≮⫘↔1101100000110⪮%⊝≮⫘↔10101101110↬(≮⫘↔10000001100+≮⫘↔111000111101))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2311,"operation_count":10,"complexity_ratio":231.1,"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":5570,"base":2},"right_expr":{"type":"numeric_atoms","value":1106,"base":2}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2896,"base":2},"right_expr":{"type":"numeric_atoms","value":5500,"base":2}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6918,"base":2},"right_expr":{"type":"numeric_atoms","value":1390,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1036,"base":2},"right_expr":{"type":"numeric_atoms","value":3645,"base":2}}}}},"used_operators":["LRNGc0VcxI","rJVOvQCfKK","Tw270M8GLb","TpPTUOHfaN","Uaa54Peajs","i8ToyICDmI","XPYlsWDdGa","B5M0gjZbta","IWmyXbctLI","W4YGzv6Whe"],"dependent_operators":["X99M06cbEe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5570","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=5570, right_input=1106, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=2896","layer":4},{"info":"number node, value=5500","layer":4},{"info":"compute binary expreesion, left_input=2896, right_input=5500, 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 = 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 = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-264","layer":1},{"info":"number node, value=6918","layer":4},{"info":"number node, value=1390","layer":4},{"info":"compute binary expreesion, left_input=6918, right_input=1390, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14152","layer":3},{"info":"number node, value=1036","layer":4},{"info":"number node, value=3645","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=3645, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4681","layer":3},{"info":"compute binary expreesion, left_input=14152, right_input=4681, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-264, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⨰⫟⨤(≮⫘↔1010111000010+⇶⊼≮⫘↔10001010010))⨎(∂(≮⫘↔101101010000∲⫓≮⫘↔1010101111100)))∀⇚≩(⪲⇎≮⫘↔1101100000110⪮%⊝≮⫘↔10101101110↬(≮⫘↔10000001100+≮⫘↔111000111101))=NaN","reverse_text":"NaN=((⨰⫟⨤(≮⫘↔1010111000010+⇶⊼≮⫘↔10001010010))⨎(∂(≮⫘↔101101010000∲⫓≮⫘↔1010101111100)))∀⇚≩(⪲⇎≮⫘↔1101100000110⪮%⊝≮⫘↔10101101110↬(≮⫘↔10000001100+≮⫘↔111000111101))","cot":[{"info":"≮⫘↔1010111000010+⇶⊼≮⫘↔10001010010=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"≮⫘↔101101010000∲⫓≮⫘↔1010101111100=≮⫘↔0","layer":3},{"info":"∂≮⫘↔0=≮⫘↔-100001000","layer":2},{"info":"NaN⨎≮⫘↔-100001000=≮⫘↔-100001000","layer":1},{"info":"≮⫘↔1101100000110⪮%⊝≮⫘↔10101101110=≮⫘↔11011101001000","layer":3},{"info":"≮⫘↔10000001100+≮⫘↔111000111101=≮⫘↔1001001001001","layer":3},{"info":"≮⫘↔11011101001000↬≮⫘↔1001001001001=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"≮⫘↔-100001000∀⇚≩NaN=NaN","layer":0}]}
{"id":864,"expression_no_base_symbol":"((-($1671$⋫))+$7734$∑⇟⊟$1994$⨰($1790$+⇶⊼$1072$))↙($2363$⋝⋈⪟$8032$⨸⪁($2820$%$1198$)/($2230$⋝⋈⪟$2914$+(⨑⩽⪐$1560$)))","expression":"((-(≮⫘↔11010000111⋫))+≮⫘↔1111000110110∑⇟⊟≮⫘↔11111001010⨰(≮⫘↔11011111110+⇶⊼≮⫘↔10000110000))↙(≮⫘↔100100111011⋝⋈⪟≮⫘↔1111101100000⨸⪁(≮⫘↔101100000100%≮⫘↔10010101110)/(≮⫘↔100010110110⋝⋈⪟≮⫘↔101101100010+(⨑⩽⪐≮⫘↔11000011000)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1703,"operation_count":14,"complexity_ratio":121.64285714285714,"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":1671,"base":2}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7734,"base":2},"right_expr":{"type":"numeric_atoms","value":1994,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1790,"base":2},"right_expr":{"type":"numeric_atoms","value":1072,"base":2}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2363,"base":2},"right_expr":{"type":"numeric_atoms","value":8032,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2820,"base":2},"right_expr":{"type":"numeric_atoms","value":1198,"base":2}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2230,"base":2},"right_expr":{"type":"numeric_atoms","value":2914,"base":2}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1560,"base":2}}}}},"used_operators":["yyfyN0ffXY","W4YGzv6Whe","t8gj7n24qd","JL8yIekQnl","eewbuw0ToL","U7g4x0WXJJ","TpPTUOHfaN","XhwjNDsVaA","g55IO6H4Gj","2DDjHMKMc0","k8jYdgA6NY","AF7qkfDlqP"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1671","layer":4},{"info":"compute unary expreesion, input=1671, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1671","layer":3},{"info":"compute unary expreesion, input=1671, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1671","layer":2},{"info":"number node, value=7734","layer":4},{"info":"number node, value=1994","layer":4},{"info":"compute binary expreesion, left_input=7734, right_input=1994, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1790","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=1790, right_input=1072, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1671, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2363","layer":4},{"info":"number node, value=8032","layer":4},{"info":"compute binary expreesion, left_input=2363, right_input=8032, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2363","layer":3},{"info":"number node, value=2820","layer":4},{"info":"number node, value=1198","layer":4},{"info":"compute binary expreesion, left_input=2820, right_input=1198, op_id = k8jYdgA6NY binary_op_definition= 'None', output=424","layer":3},{"info":"compute binary expreesion, left_input=2363, right_input=424, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5574","layer":2},{"info":"number node, value=2230","layer":4},{"info":"number node, value=2914","layer":4},{"info":"compute binary expreesion, left_input=2230, right_input=2914, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2230","layer":3},{"info":"number node, value=1560","layer":4},{"info":"compute unary expreesion, input=1560, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1287","layer":3},{"info":"compute binary expreesion, left_input=2230, right_input=-1287, op_id = W4YGzv6Whe binary_op_definition= 'None', output=943","layer":2},{"info":"compute binary expreesion, left_input=5574, right_input=943, op_id = XhwjNDsVaA binary_op_definition= 'None', output=5","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((-(≮⫘↔11010000111⋫))+≮⫘↔1111000110110∑⇟⊟≮⫘↔11111001010⨰(≮⫘↔11011111110+⇶⊼≮⫘↔10000110000))↙(≮⫘↔100100111011⋝⋈⪟≮⫘↔1111101100000⨸⪁(≮⫘↔101100000100%≮⫘↔10010101110)/(≮⫘↔100010110110⋝⋈⪟≮⫘↔101101100010+(⨑⩽⪐≮⫘↔11000011000)))=NaN","reverse_text":"NaN=((-(≮⫘↔11010000111⋫))+≮⫘↔1111000110110∑⇟⊟≮⫘↔11111001010⨰(≮⫘↔11011111110+⇶⊼≮⫘↔10000110000))↙(≮⫘↔100100111011⋝⋈⪟≮⫘↔1111101100000⨸⪁(≮⫘↔101100000100%≮⫘↔10010101110)/(≮⫘↔100010110110⋝⋈⪟≮⫘↔101101100010+(⨑⩽⪐≮⫘↔11000011000)))","cot":[{"info":"≮⫘↔11010000111⋫=≮⫘↔11010000111","layer":3},{"info":"-≮⫘↔11010000111=≮⫘↔-11010000111","layer":2},{"info":"≮⫘↔1111000110110∑⇟⊟≮⫘↔11111001010=NaN","layer":3},{"info":"≮⫘↔11011111110+⇶⊼≮⫘↔10000110000=NaN","layer":3},{"info":"NaN⨰NaN=NaN","layer":2},{"info":"≮⫘↔-11010000111+NaN=NaN","layer":1},{"info":"≮⫘↔100100111011⋝⋈⪟≮⫘↔1111101100000=≮⫘↔100100111011","layer":3},{"info":"≮⫘↔101100000100%≮⫘↔10010101110=≮⫘↔110101000","layer":3},{"info":"≮⫘↔100100111011⨸⪁≮⫘↔110101000=≮⫘↔1010111000110","layer":2},{"info":"≮⫘↔100010110110⋝⋈⪟≮⫘↔101101100010=≮⫘↔100010110110","layer":3},{"info":"⨑⩽⪐≮⫘↔11000011000=≮⫘↔-10100000111","layer":3},{"info":"≮⫘↔100010110110+≮⫘↔-10100000111=≮⫘↔1110101111","layer":2},{"info":"≮⫘↔1010111000110/≮⫘↔1110101111=≮⫘↔101","layer":1},{"info":"NaN↙≮⫘↔101=NaN","layer":0}]}
{"id":865,"expression_no_base_symbol":"($2727$⨟⋌⩍$5406$⇼⇔∾($1488$⇼⇔∾$1440$)≋⫹)⪘⫢(↯⪼((⨞⊢$2314$)⊘))","expression":"(≮⫘↔101010100111⨟⋌⩍≮⫘↔1010100011110⇼⇔∾(≮⫘↔10111010000⇼⇔∾≮⫘↔10110100000)≋⫹)⪘⫢(↯⪼((⨞⊢≮⫘↔100100001010)⊘))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":71,"operation_count":8,"complexity_ratio":8.875,"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":2727,"base":2},"right_expr":{"type":"numeric_atoms","value":5406,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1488,"base":2},"right_expr":{"type":"numeric_atoms","value":1440,"base":2}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2314,"base":2}}}}},"used_operators":["oacrs7FA3X","N41Kp7NANJ","tifHPKVTfV","rGHVDoGpnC","8jW3W4yZS5","gu96TGCTMs","xUOZtlo3hN"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2727","layer":4},{"info":"number node, value=5406","layer":4},{"info":"compute binary expreesion, left_input=2727, right_input=5406, 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=1488","layer":4},{"info":"number node, value=1440","layer":4},{"info":"compute binary expreesion, left_input=1488, right_input=1440, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-48","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-48, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":1},{"info":"number node, value=2314","layer":4},{"info":"compute unary expreesion, input=2314, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2488","layer":3},{"info":"compute unary expreesion, input=-2488, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = 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 = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101010100111⨟⋌⩍≮⫘↔1010100011110⇼⇔∾(≮⫘↔10111010000⇼⇔∾≮⫘↔10110100000)≋⫹)⪘⫢(↯⪼((⨞⊢≮⫘↔100100001010)⊘))=NaN","reverse_text":"NaN=(≮⫘↔101010100111⨟⋌⩍≮⫘↔1010100011110⇼⇔∾(≮⫘↔10111010000⇼⇔∾≮⫘↔10110100000)≋⫹)⪘⫢(↯⪼((⨞⊢≮⫘↔100100001010)⊘))","cot":[{"info":"≮⫘↔101010100111⨟⋌⩍≮⫘↔1010100011110=NaN","layer":3},{"info":"≮⫘↔10111010000⇼⇔∾≮⫘↔10110100000=≮⫘↔-110000","layer":3},{"info":"NaN⇼⇔∾≮⫘↔-110000=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"⨞⊢≮⫘↔100100001010=≮⫘↔-100110111000","layer":3},{"info":"≮⫘↔-100110111000⊘=≮⫘↔-1","layer":2},{"info":"↯⪼≮⫘↔-1=≮⫘↔-10101","layer":1},{"info":"NaN⪘⫢≮⫘↔-10101=NaN","layer":0}]}
{"id":866,"expression_no_base_symbol":"⨑⩽⪐((⫛⫱⨽($3512$⨓$2394$))⩤)","expression":"⨑⩽⪐((⫛⫱⨽(≮⫘↔110110111000⨓≮⫘↔100101011010))⩤)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3830,"operation_count":4,"complexity_ratio":957.5,"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":3512,"base":2},"right_expr":{"type":"numeric_atoms","value":2394,"base":2}}}}},"used_operators":["AF7qkfDlqP","Z2TMIBDE3Q","DlLNRPXxWL","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"≮⫘↔1100010101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3512","layer":4},{"info":"number node, value=2394","layer":4},{"info":"compute binary expreesion, left_input=3512, right_input=2394, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2397","layer":3},{"info":"compute unary expreesion, input=-2397, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":0}],"base":2,"result_base":2,"text":"⨑⩽⪐((⫛⫱⨽(≮⫘↔110110111000⨓≮⫘↔100101011010))⩤)=≮⫘↔1100010101","reverse_text":"≮⫘↔1100010101=⨑⩽⪐((⫛⫱⨽(≮⫘↔110110111000⨓≮⫘↔100101011010))⩤)","cot":[{"info":"≮⫘↔110110111000⨓≮⫘↔100101011010=≮⫘↔-100101011101","layer":3},{"info":"⫛⫱⨽≮⫘↔-100101011101=≮⫘↔0","layer":2},{"info":"≮⫘↔0⩤=≮⫘↔0","layer":1},{"info":"⨑⩽⪐≮⫘↔0=≮⫘↔1100010101","layer":0}]}
{"id":867,"expression_no_base_symbol":"($1131$⇼⇔∾$1476$⊭↱$5072$≧⫂∧$3738$-($2283$+⇶⊼$2575$)≹⇙⪍(⊄⩳↩$2650$))⇋≉","expression":"(≮⫘↔10001101011⇼⇔∾≮⫘↔10111000100⊭↱≮⫘↔1001111010000≧⫂∧≮⫘↔111010011010-(≮⫘↔100011101011+⇶⊼≮⫘↔101000001111)≹⇙⪍(⊄⩳↩≮⫘↔101001011010))⇋≉","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":18,"operation_count":8,"complexity_ratio":2.25,"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":1131,"base":2},"right_expr":{"type":"numeric_atoms","value":1476,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5072,"base":2},"right_expr":{"type":"numeric_atoms","value":3738,"base":2}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2283,"base":2},"right_expr":{"type":"numeric_atoms","value":2575,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2650,"base":2}}}}},"used_operators":["XIabStNQrY","rysDP5nf3Z","COABgblf1C","tifHPKVTfV","Ph9nP6C5qx","AHs5Up7iyr","TpPTUOHfaN","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1131","layer":4},{"info":"number node, value=1476","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=1476, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=345","layer":3},{"info":"number node, value=5072","layer":4},{"info":"number node, value=3738","layer":4},{"info":"compute binary expreesion, left_input=5072, right_input=3738, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3265","layer":3},{"info":"compute binary expreesion, left_input=345, right_input=3265, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5845","layer":2},{"info":"number node, value=2283","layer":4},{"info":"number node, value=2575","layer":4},{"info":"compute binary expreesion, left_input=2283, right_input=2575, 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=2650","layer":4},{"info":"compute unary expreesion, input=2650, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7950","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7950, 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=5845, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10001101011⇼⇔∾≮⫘↔10111000100⊭↱≮⫘↔1001111010000≧⫂∧≮⫘↔111010011010-(≮⫘↔100011101011+⇶⊼≮⫘↔101000001111)≹⇙⪍(⊄⩳↩≮⫘↔101001011010))⇋≉=NaN","reverse_text":"NaN=(≮⫘↔10001101011⇼⇔∾≮⫘↔10111000100⊭↱≮⫘↔1001111010000≧⫂∧≮⫘↔111010011010-(≮⫘↔100011101011+⇶⊼≮⫘↔101000001111)≹⇙⪍(⊄⩳↩≮⫘↔101001011010))⇋≉","cot":[{"info":"≮⫘↔10001101011⇼⇔∾≮⫘↔10111000100=≮⫘↔101011001","layer":3},{"info":"≮⫘↔1001111010000≧⫂∧≮⫘↔111010011010=≮⫘↔110011000001","layer":3},{"info":"≮⫘↔101011001⊭↱≮⫘↔110011000001=≮⫘↔1011011010101","layer":2},{"info":"≮⫘↔100011101011+⇶⊼≮⫘↔101000001111=NaN","layer":3},{"info":"⊄⩳↩≮⫘↔101001011010=≮⫘↔-1111100001110","layer":3},{"info":"NaN≹⇙⪍≮⫘↔-1111100001110=NaN","layer":2},{"info":"≮⫘↔1011011010101-NaN=NaN","layer":1},{"info":"NaN⇋≉=NaN","layer":0}]}
{"id":868,"expression_no_base_symbol":"(($2216$⫸⊐$1439$)⨽(↔$8259$))⪮%⊝($3863$%$3465$)⪢($1703$⩚⊴⇥$5046$)⋝⋈⪟(↔(≦∁$2638$))⨓(($5186$-$2340$)*$5281$⪘⫢$3545$)","expression":"((≮⫘↔100010101000⫸⊐≮⫘↔10110011111)⨽(↔≮⫘↔10000001000011))⪮%⊝(≮⫘↔111100010111%≮⫘↔110110001001)⪢(≮⫘↔11010100111⩚⊴⇥≮⫘↔1001110110110)⋝⋈⪟(↔(≦∁≮⫘↔101001001110))⨓((≮⫘↔1010001000010-≮⫘↔100100100100)*≮⫘↔1010010100001⪘⫢≮⫘↔110111011001)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":15434,"operation_count":14,"complexity_ratio":1102.4285714285713,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2216,"base":2},"right_expr":{"type":"numeric_atoms","value":1439,"base":2}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":8259,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3863,"base":2},"right_expr":{"type":"numeric_atoms","value":3465,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1703,"base":2},"right_expr":{"type":"numeric_atoms","value":5046,"base":2}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2638,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5186,"base":2},"right_expr":{"type":"numeric_atoms","value":2340,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5281,"base":2},"right_expr":{"type":"numeric_atoms","value":3545,"base":2}}}}},"used_operators":["2DDjHMKMc0","IWmyXbctLI","8HhzD0ZcuI","mqXw5SEYmG","ruOEQAzv1W","dWAJyo7jo9","k8jYdgA6NY","NTOWxs364D","3ViojmjbAp","9ICcGScMcE","9HNa5Wba9A","rysDP5nf3Z","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2216","layer":4},{"info":"number node, value=1439","layer":4},{"info":"compute binary expreesion, left_input=2216, right_input=1439, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5631","layer":3},{"info":"number node, value=8259","layer":4},{"info":"compute unary expreesion, input=8259, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-7986","layer":3},{"info":"compute binary expreesion, left_input=5631, right_input=-7986, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-95099211","layer":2},{"info":"number node, value=3863","layer":4},{"info":"number node, value=3465","layer":4},{"info":"compute binary expreesion, left_input=3863, right_input=3465, op_id = k8jYdgA6NY binary_op_definition= 'None', output=398","layer":3},{"info":"number node, value=1703","layer":4},{"info":"number node, value=5046","layer":4},{"info":"compute binary expreesion, left_input=1703, right_input=5046, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6870","layer":3},{"info":"compute binary expreesion, left_input=398, right_input=-6870, 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=-95099211, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=2638","layer":4},{"info":"compute unary expreesion, input=2638, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2638","layer":3},{"info":"compute unary expreesion, input=2638, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2365","layer":2},{"info":"number node, value=5186","layer":4},{"info":"number node, value=2340","layer":4},{"info":"compute binary expreesion, left_input=5186, right_input=2340, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2846","layer":3},{"info":"number node, value=5281","layer":4},{"info":"number node, value=3545","layer":4},{"info":"compute binary expreesion, left_input=5281, right_input=3545, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10438","layer":3},{"info":"compute binary expreesion, left_input=2846, right_input=10438, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=29706548","layer":2},{"info":"compute binary expreesion, left_input=-2365, right_input=29706548, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100010101000⫸⊐≮⫘↔10110011111)⨽(↔≮⫘↔10000001000011))⪮%⊝(≮⫘↔111100010111%≮⫘↔110110001001)⪢(≮⫘↔11010100111⩚⊴⇥≮⫘↔1001110110110)⋝⋈⪟(↔(≦∁≮⫘↔101001001110))⨓((≮⫘↔1010001000010-≮⫘↔100100100100)*≮⫘↔1010010100001⪘⫢≮⫘↔110111011001)=NaN","reverse_text":"NaN=((≮⫘↔100010101000⫸⊐≮⫘↔10110011111)⨽(↔≮⫘↔10000001000011))⪮%⊝(≮⫘↔111100010111%≮⫘↔110110001001)⪢(≮⫘↔11010100111⩚⊴⇥≮⫘↔1001110110110)⋝⋈⪟(↔(≦∁≮⫘↔101001001110))⨓((≮⫘↔1010001000010-≮⫘↔100100100100)*≮⫘↔1010010100001⪘⫢≮⫘↔110111011001)","cot":[{"info":"≮⫘↔100010101000⫸⊐≮⫘↔10110011111=≮⫘↔1010111111111","layer":3},{"info":"↔≮⫘↔10000001000011=≮⫘↔-1111100110010","layer":3},{"info":"≮⫘↔1010111111111⨽≮⫘↔-1111100110010=≮⫘↔-101101010110001100101001011","layer":2},{"info":"≮⫘↔111100010111%≮⫘↔110110001001=≮⫘↔110001110","layer":3},{"info":"≮⫘↔11010100111⩚⊴⇥≮⫘↔1001110110110=≮⫘↔-1101011010110","layer":3},{"info":"≮⫘↔110001110⪢≮⫘↔-1101011010110=NaN","layer":2},{"info":"≮⫘↔-101101010110001100101001011⪮%⊝NaN=NaN","layer":1},{"info":"≦∁≮⫘↔101001001110=≮⫘↔101001001110","layer":3},{"info":"↔≮⫘↔101001001110=≮⫘↔-100100111101","layer":2},{"info":"≮⫘↔1010001000010-≮⫘↔100100100100=≮⫘↔101100011110","layer":3},{"info":"≮⫘↔1010010100001⪘⫢≮⫘↔110111011001=≮⫘↔10100011000110","layer":3},{"info":"≮⫘↔101100011110*≮⫘↔10100011000110=≮⫘↔1110001010100100100110100","layer":2},{"info":"≮⫘↔-100100111101⨓≮⫘↔1110001010100100100110100=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":869,"expression_no_base_symbol":"(($2332$≭$9289$)⪢($1414$⪘⫢$1753$)∲⫓($4651$⫸⊐$2824$)≧⫂∧(-$5677$))⨎(↥(⨵≀≌$1573$))⨓(($1210$⨸⪁$2658$)⫩⊇)","expression":"((≮⫘↔100100011100≭≮⫘↔10010001001001)⪢(≮⫘↔10110000110⪘⫢≮⫘↔11011011001)∲⫓(≮⫘↔1001000101011⫸⊐≮⫘↔101100001000)≧⫂∧(-≮⫘↔1011000101101))⨎(↥(⨵≀≌≮⫘↔11000100101))⨓((≮⫘↔10010111010⨸⪁≮⫘↔101001100010)⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10550,"operation_count":13,"complexity_ratio":811.5384615384615,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2332,"base":2},"right_expr":{"type":"numeric_atoms","value":9289,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1414,"base":2},"right_expr":{"type":"numeric_atoms","value":1753,"base":2}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4651,"base":2},"right_expr":{"type":"numeric_atoms","value":2824,"base":2}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5677,"base":2}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1573,"base":2}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1210,"base":2},"right_expr":{"type":"numeric_atoms","value":2658,"base":2}}}}},"used_operators":["rJVOvQCfKK","i8ToyICDmI","dWAJyo7jo9","rxpJgHHUmx","oacrs7FA3X","Ph9nP6C5qx","mqXw5SEYmG","t8gj7n24qd","3ViojmjbAp","A8NUZmVepG","srAu1WTS94","BjRHVeLaeN","g55IO6H4Gj"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"≮⫘↔1111000001011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2332","layer":4},{"info":"number node, value=9289","layer":4},{"info":"compute binary expreesion, left_input=2332, right_input=9289, 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=1414","layer":4},{"info":"number node, value=1753","layer":4},{"info":"compute binary expreesion, left_input=1414, right_input=1753, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2704","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2704, 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=4651","layer":4},{"info":"number node, value=2824","layer":4},{"info":"compute binary expreesion, left_input=4651, right_input=2824, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11171","layer":3},{"info":"number node, value=5677","layer":4},{"info":"compute unary expreesion, input=5677, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5677","layer":3},{"info":"compute binary expreesion, left_input=11171, right_input=-5677, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=16848","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=16848, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1573","layer":4},{"info":"compute unary expreesion, input=1573, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4719","layer":3},{"info":"compute unary expreesion, input=-4719, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=24","layer":2},{"info":"number node, value=1210","layer":4},{"info":"number node, value=2658","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=2658, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7736","layer":3},{"info":"compute unary expreesion, input=7736, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-7694","layer":2},{"info":"compute binary expreesion, left_input=24, right_input=-7694, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=7691","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=7691, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7691","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100100011100≭≮⫘↔10010001001001)⪢(≮⫘↔10110000110⪘⫢≮⫘↔11011011001)∲⫓(≮⫘↔1001000101011⫸⊐≮⫘↔101100001000)≧⫂∧(-≮⫘↔1011000101101))⨎(↥(⨵≀≌≮⫘↔11000100101))⨓((≮⫘↔10010111010⨸⪁≮⫘↔101001100010)⫩⊇)=≮⫘↔1111000001011","reverse_text":"≮⫘↔1111000001011=((≮⫘↔100100011100≭≮⫘↔10010001001001)⪢(≮⫘↔10110000110⪘⫢≮⫘↔11011011001)∲⫓(≮⫘↔1001000101011⫸⊐≮⫘↔101100001000)≧⫂∧(-≮⫘↔1011000101101))⨎(↥(⨵≀≌≮⫘↔11000100101))⨓((≮⫘↔10010111010⨸⪁≮⫘↔101001100010)⫩⊇)","cot":[{"info":"≮⫘↔100100011100≭≮⫘↔10010001001001=NaN","layer":3},{"info":"≮⫘↔10110000110⪘⫢≮⫘↔11011011001=≮⫘↔101010010000","layer":3},{"info":"NaN⪢≮⫘↔101010010000=NaN","layer":2},{"info":"≮⫘↔1001000101011⫸⊐≮⫘↔101100001000=≮⫘↔10101110100011","layer":3},{"info":"-≮⫘↔1011000101101=≮⫘↔-1011000101101","layer":3},{"info":"≮⫘↔10101110100011≧⫂∧≮⫘↔-1011000101101=≮⫘↔100000111010000","layer":2},{"info":"NaN∲⫓≮⫘↔100000111010000=≮⫘↔0","layer":1},{"info":"⨵≀≌≮⫘↔11000100101=≮⫘↔-1001001101111","layer":3},{"info":"↥≮⫘↔-1001001101111=≮⫘↔11000","layer":2},{"info":"≮⫘↔10010111010⨸⪁≮⫘↔101001100010=≮⫘↔1111000111000","layer":3},{"info":"≮⫘↔1111000111000⫩⊇=≮⫘↔-1111000001110","layer":2},{"info":"≮⫘↔11000⨓≮⫘↔-1111000001110=≮⫘↔1111000001011","layer":1},{"info":"≮⫘↔0⨎≮⫘↔1111000001011=≮⫘↔1111000001011","layer":0}]}
{"id":870,"expression_no_base_symbol":"(($1513$⫡⨏$6763$)⨸⪁$3867$≎⊠⪸$2330$+$3744$≧⫂∧$1586$≧⫂∧$2032$⨪↰⇹$6795$)%($2700$⩷∴$1087$⫡⨏$1776$⊴$1092$)⨟⋌⩍(⨵≀≌(+⊝⨔$2520$))","expression":"((≮⫘↔10111101001⫡⨏≮⫘↔1101001101011)⨸⪁≮⫘↔111100011011≎⊠⪸≮⫘↔100100011010+≮⫘↔111010100000≧⫂∧≮⫘↔11000110010≧⫂∧≮⫘↔11111110000⨪↰⇹≮⫘↔1101010001011)%(≮⫘↔101010001100⩷∴≮⫘↔10000111111⫡⨏≮⫘↔11011110000⊴≮⫘↔10001000100)⨟⋌⩍(⨵≀≌(+⊝⨔≮⫘↔100111011000))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3522,"operation_count":14,"complexity_ratio":251.57142857142858,"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":1513,"base":2},"right_expr":{"type":"numeric_atoms","value":6763,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3867,"base":2},"right_expr":{"type":"numeric_atoms","value":2330,"base":2}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3744,"base":2},"right_expr":{"type":"numeric_atoms","value":1586,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2032,"base":2},"right_expr":{"type":"numeric_atoms","value":6795,"base":2}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2700,"base":2},"right_expr":{"type":"numeric_atoms","value":1087,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1776,"base":2},"right_expr":{"type":"numeric_atoms","value":1092,"base":2}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2520,"base":2}}}}},"used_operators":["k8jYdgA6NY","W4YGzv6Whe","g55IO6H4Gj","QMFrweE19q","bJkvcejdHO","Ph9nP6C5qx","tmPS8pqC7x","rGHVDoGpnC","9FxExcQeMw","Nsiff2A1zJ","srAu1WTS94","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","Tcnh7f0tEr","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1513","layer":4},{"info":"number node, value=6763","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=6763, 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=21874","layer":3},{"info":"number node, value=3867","layer":4},{"info":"number node, value=2330","layer":4},{"info":"compute binary expreesion, left_input=3867, right_input=2330, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1001080","layer":3},{"info":"compute binary expreesion, left_input=21874, right_input=1001080, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=2045908","layer":2},{"info":"number node, value=3744","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=3744, right_input=1586, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1113","layer":3},{"info":"number node, value=2032","layer":4},{"info":"number node, value=6795","layer":4},{"info":"compute binary expreesion, left_input=2032, right_input=6795, 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=2032","layer":3},{"info":"compute binary expreesion, left_input=1113, right_input=2032, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1559","layer":2},{"info":"compute binary expreesion, left_input=2045908, right_input=1559, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2047467","layer":1},{"info":"number node, value=2700","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=2700, right_input=1087, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3194","layer":3},{"info":"number node, value=1776","layer":4},{"info":"number node, value=1092","layer":4},{"info":"compute binary expreesion, left_input=1776, right_input=1092, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3194, 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":"number node, value=2520","layer":4},{"info":"compute unary expreesion, input=2520, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4566","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4566, 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=2047467, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10111101001⫡⨏≮⫘↔1101001101011)⨸⪁≮⫘↔111100011011≎⊠⪸≮⫘↔100100011010+≮⫘↔111010100000≧⫂∧≮⫘↔11000110010≧⫂∧≮⫘↔11111110000⨪↰⇹≮⫘↔1101010001011)%(≮⫘↔101010001100⩷∴≮⫘↔10000111111⫡⨏≮⫘↔11011110000⊴≮⫘↔10001000100)⨟⋌⩍(⨵≀≌(+⊝⨔≮⫘↔100111011000))=NaN","reverse_text":"NaN=((≮⫘↔10111101001⫡⨏≮⫘↔1101001101011)⨸⪁≮⫘↔111100011011≎⊠⪸≮⫘↔100100011010+≮⫘↔111010100000≧⫂∧≮⫘↔11000110010≧⫂∧≮⫘↔11111110000⨪↰⇹≮⫘↔1101010001011)%(≮⫘↔101010001100⩷∴≮⫘↔10000111111⫡⨏≮⫘↔11011110000⊴≮⫘↔10001000100)⨟⋌⩍(⨵≀≌(+⊝⨔≮⫘↔100111011000))","cot":[{"info":"≮⫘↔10111101001⫡⨏≮⫘↔1101001101011=≮⫘↔101010101110010","layer":3},{"info":"≮⫘↔111100011011≎⊠⪸≮⫘↔100100011010=≮⫘↔11110100011001111000","layer":3},{"info":"≮⫘↔101010101110010⨸⪁≮⫘↔11110100011001111000=≮⫘↔111110011011111010100","layer":2},{"info":"≮⫘↔111010100000≧⫂∧≮⫘↔11000110010=≮⫘↔10001011001","layer":3},{"info":"≮⫘↔11111110000⨪↰⇹≮⫘↔1101010001011=≮⫘↔11111110000","layer":3},{"info":"≮⫘↔10001011001≧⫂∧≮⫘↔11111110000=≮⫘↔11000010111","layer":2},{"info":"≮⫘↔111110011011111010100+≮⫘↔11000010111=≮⫘↔111110011110111101011","layer":1},{"info":"≮⫘↔101010001100⩷∴≮⫘↔10000111111=≮⫘↔110001111010","layer":3},{"info":"≮⫘↔11011110000⊴≮⫘↔10001000100=NaN","layer":3},{"info":"≮⫘↔110001111010⫡⨏NaN=NaN","layer":2},{"info":"+⊝⨔≮⫘↔100111011000=≮⫘↔10111110010","layer":3},{"info":"⨵≀≌≮⫘↔10111110010=≮⫘↔-1000111010110","layer":2},{"info":"NaN⨟⋌⩍≮⫘↔-1000111010110=NaN","layer":1},{"info":"≮⫘↔111110011110111101011%NaN=NaN","layer":0}]}
{"id":871,"expression_no_base_symbol":"((⊄⩳↩$1874$)⋳⪒$5000$⊴$1092$)⋝⋈⪟(↯⪼($2099$⨰$5387$))-(⨞⊢($1541$⊉≛↸$1393$)⨎($3264$⊉≛↸$3122$))","expression":"((⊄⩳↩≮⫘↔11101010010)⋳⪒≮⫘↔1001110001000⊴≮⫘↔10001000100)⋝⋈⪟(↯⪼(≮⫘↔100000110011⨰≮⫘↔1010100001011))-(⨞⊢(≮⫘↔11000000101⊉≛↸≮⫘↔10101110001)⨎(≮⫘↔110011000000⊉≛↸≮⫘↔110000110010))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1340,"operation_count":11,"complexity_ratio":121.81818181818181,"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":1874,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5000,"base":2},"right_expr":{"type":"numeric_atoms","value":1092,"base":2}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2099,"base":2},"right_expr":{"type":"numeric_atoms","value":5387,"base":2}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1541,"base":2},"right_expr":{"type":"numeric_atoms","value":1393,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3264,"base":2},"right_expr":{"type":"numeric_atoms","value":3122,"base":2}}}}},"used_operators":["rysDP5nf3Z","2DDjHMKMc0","12rbrZMWeM","8w2t5hMYqp","Nsiff2A1zJ","8jW3W4yZS5","eewbuw0ToL","xUOZtlo3hN","rJVOvQCfKK","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1874","layer":4},{"info":"compute unary expreesion, input=1874, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5622","layer":3},{"info":"number node, value=5000","layer":4},{"info":"number node, value=1092","layer":4},{"info":"compute binary expreesion, left_input=5000, right_input=1092, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5622, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=2099","layer":4},{"info":"number node, value=5387","layer":4},{"info":"compute binary expreesion, left_input=2099, right_input=5387, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3278","layer":3},{"info":"compute unary expreesion, input=-3278, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=5639","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5639, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1541","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=1541, right_input=1393, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3082","layer":3},{"info":"number node, value=3264","layer":4},{"info":"number node, value=3122","layer":4},{"info":"compute binary expreesion, left_input=3264, right_input=3122, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6528","layer":3},{"info":"compute binary expreesion, left_input=3082, right_input=6528, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6528","layer":2},{"info":"compute unary expreesion, input=6528, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6702","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6702, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⊄⩳↩≮⫘↔11101010010)⋳⪒≮⫘↔1001110001000⊴≮⫘↔10001000100)⋝⋈⪟(↯⪼(≮⫘↔100000110011⨰≮⫘↔1010100001011))-(⨞⊢(≮⫘↔11000000101⊉≛↸≮⫘↔10101110001)⨎(≮⫘↔110011000000⊉≛↸≮⫘↔110000110010))=NaN","reverse_text":"NaN=((⊄⩳↩≮⫘↔11101010010)⋳⪒≮⫘↔1001110001000⊴≮⫘↔10001000100)⋝⋈⪟(↯⪼(≮⫘↔100000110011⨰≮⫘↔1010100001011))-(⨞⊢(≮⫘↔11000000101⊉≛↸≮⫘↔10101110001)⨎(≮⫘↔110011000000⊉≛↸≮⫘↔110000110010))","cot":[{"info":"⊄⩳↩≮⫘↔11101010010=≮⫘↔-1010111110110","layer":3},{"info":"≮⫘↔1001110001000⊴≮⫘↔10001000100=NaN","layer":3},{"info":"≮⫘↔-1010111110110⋳⪒NaN=NaN","layer":2},{"info":"≮⫘↔100000110011⨰≮⫘↔1010100001011=≮⫘↔-110011001110","layer":3},{"info":"↯⪼≮⫘↔-110011001110=≮⫘↔1011000000111","layer":2},{"info":"NaN⋝⋈⪟≮⫘↔1011000000111=NaN","layer":1},{"info":"≮⫘↔11000000101⊉≛↸≮⫘↔10101110001=≮⫘↔110000001010","layer":3},{"info":"≮⫘↔110011000000⊉≛↸≮⫘↔110000110010=≮⫘↔1100110000000","layer":3},{"info":"≮⫘↔110000001010⨎≮⫘↔1100110000000=≮⫘↔1100110000000","layer":2},{"info":"⨞⊢≮⫘↔1100110000000=≮⫘↔-1101000101110","layer":1},{"info":"NaN-≮⫘↔-1101000101110=NaN","layer":0}]}
{"id":872,"expression_no_base_symbol":"$1792$⪘⫢$2131$⨰($2499$≎⊠⪸$1155$)⨰(($1199$≧⫂∧$1019$)⊪)⋫","expression":"≮⫘↔11100000000⪘⫢≮⫘↔100001010011⨰(≮⫘↔100111000011≎⊠⪸≮⫘↔10010000011)⨰((≮⫘↔10010101111≧⫂∧≮⫘↔1111111011)⊪)⋫","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":643619,"operation_count":7,"complexity_ratio":91945.57142857143,"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":1792,"base":2},"right_expr":{"type":"numeric_atoms","value":2131,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2499,"base":2},"right_expr":{"type":"numeric_atoms","value":1155,"base":2}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1199,"base":2},"right_expr":{"type":"numeric_atoms","value":1019,"base":2}}}}},"used_operators":["JL8yIekQnl","eewbuw0ToL","oacrs7FA3X","bJkvcejdHO","zVYPLywUTj","Ph9nP6C5qx"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-10011101000011011000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1792","layer":4},{"info":"number node, value=2131","layer":4},{"info":"compute binary expreesion, left_input=1792, right_input=2131, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3460","layer":3},{"info":"number node, value=2499","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=2499, right_input=1155, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=646768","layer":3},{"info":"compute binary expreesion, left_input=3460, right_input=646768, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-643298","layer":2},{"info":"number node, value=1199","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=1019, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=546","layer":3},{"info":"compute unary expreesion, input=546, 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":"compute binary expreesion, left_input=-643298, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-643288","layer":1},{"info":"compute unary expreesion, input=-643288, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-643288","layer":0}],"base":2,"result_base":2,"text":"≮⫘↔11100000000⪘⫢≮⫘↔100001010011⨰(≮⫘↔100111000011≎⊠⪸≮⫘↔10010000011)⨰((≮⫘↔10010101111≧⫂∧≮⫘↔1111111011)⊪)⋫=≮⫘↔-10011101000011011000","reverse_text":"≮⫘↔-10011101000011011000=≮⫘↔11100000000⪘⫢≮⫘↔100001010011⨰(≮⫘↔100111000011≎⊠⪸≮⫘↔10010000011)⨰((≮⫘↔10010101111≧⫂∧≮⫘↔1111111011)⊪)⋫","cot":[{"info":"≮⫘↔11100000000⪘⫢≮⫘↔100001010011=≮⫘↔110110000100","layer":3},{"info":"≮⫘↔100111000011≎⊠⪸≮⫘↔10010000011=≮⫘↔10011101111001110000","layer":3},{"info":"≮⫘↔110110000100⨰≮⫘↔10011101111001110000=≮⫘↔-10011101000011100010","layer":2},{"info":"≮⫘↔10010101111≧⫂∧≮⫘↔1111111011=≮⫘↔1000100010","layer":3},{"info":"≮⫘↔1000100010⊪=≮⫘↔0","layer":2},{"info":"≮⫘↔-10011101000011100010⨰≮⫘↔0=≮⫘↔-10011101000011011000","layer":1},{"info":"≮⫘↔-10011101000011011000⋫=≮⫘↔-10011101000011011000","layer":0}]}
{"id":873,"expression_no_base_symbol":"(⩦⩻⨪(-$2266$⨐⩸⫘$3610$))⨵⪆(⋗⩬⋾$1021$⋳⪒$4537$)⫥∨⫟(↥($5634$/$3044$))","expression":"(⩦⩻⨪(-≮⫘↔100011011010⨐⩸⫘≮⫘↔111000011010))⨵⪆(⋗⩬⋾≮⫘↔1111111101⋳⪒≮⫘↔1000110111001)⫥∨⫟(↥(≮⫘↔1011000000010/≮⫘↔101111100100))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":172,"operation_count":9,"complexity_ratio":19.11111111111111,"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":2266,"base":2},"right_expr":{"type":"numeric_atoms","value":3610,"base":2}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1021,"base":2},"right_expr":{"type":"numeric_atoms","value":4537,"base":2}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5634,"base":2},"right_expr":{"type":"numeric_atoms","value":3044,"base":2}}}}},"used_operators":["2DQ55sFlQl","2td37pGCOC","t8gj7n24qd","fu6greOZ01","KYD54nUTWz","DpFCA1CohY","12rbrZMWeM","A8NUZmVepG","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2266","layer":4},{"info":"number node, value=3610","layer":4},{"info":"compute binary expreesion, left_input=2266, right_input=3610, 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 = t8gj7n24qd, unary_op_definition = 'None', 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=1021","layer":4},{"info":"number node, value=4537","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=4537, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2782","layer":3},{"info":"compute unary expreesion, input=-2782, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=8346","layer":2},{"info":"number node, value=5634","layer":4},{"info":"number node, value=3044","layer":4},{"info":"compute binary expreesion, left_input=5634, right_input=3044, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=1","layer":2},{"info":"compute binary expreesion, left_input=8346, right_input=1, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(⩦⩻⨪(-≮⫘↔100011011010⨐⩸⫘≮⫘↔111000011010))⨵⪆(⋗⩬⋾≮⫘↔1111111101⋳⪒≮⫘↔1000110111001)⫥∨⫟(↥(≮⫘↔1011000000010/≮⫘↔101111100100))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(⩦⩻⨪(-≮⫘↔100011011010⨐⩸⫘≮⫘↔111000011010))⨵⪆(⋗⩬⋾≮⫘↔1111111101⋳⪒≮⫘↔1000110111001)⫥∨⫟(↥(≮⫘↔1011000000010/≮⫘↔101111100100))","cot":[{"info":"≮⫘↔100011011010⨐⩸⫘≮⫘↔111000011010=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"≮⫘↔1111111101⋳⪒≮⫘↔1000110111001=≮⫘↔-101011011110","layer":3},{"info":"⋗⩬⋾≮⫘↔-101011011110=≮⫘↔10000010011010","layer":2},{"info":"≮⫘↔1011000000010/≮⫘↔101111100100=≮⫘↔1","layer":3},{"info":"↥≮⫘↔1=≮⫘↔1","layer":2},{"info":"≮⫘↔10000010011010⫥∨⫟≮⫘↔1=NaN","layer":1},{"info":"NaN⨵⪆NaN=≮⫘↔10100000","layer":0}]}
{"id":874,"expression_no_base_symbol":"(≉($9732$⨵⪆$1931$))⨸⪁($5062$∼$6334$⩠)⫡⨏(⫓⪴($1562$⪄$2648$))⊭↱(↣≠⋷(⪝⪂⫅$4187$))","expression":"(≉(≮⫘↔10011000000100⨵⪆≮⫘↔11110001011))⨸⪁(≮⫘↔1001111000110∼≮⫘↔1100010111110⩠)⫡⨏(⫓⪴(≮⫘↔11000011010⪄≮⫘↔101001011000))⊭↱(↣≠⋷(⪝⪂⫅≮⫘↔1000001011011))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":238243,"operation_count":11,"complexity_ratio":21658.454545454544,"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":9732,"base":2},"right_expr":{"type":"numeric_atoms","value":1931,"base":2}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5062,"base":2},"right_expr":{"type":"numeric_atoms","value":6334,"base":2}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1562,"base":2},"right_expr":{"type":"numeric_atoms","value":2648,"base":2}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4187,"base":2}}}}},"used_operators":["QMFrweE19q","g55IO6H4Gj","e1ybzncUwg","2DQ55sFlQl","sJAwomhLZr","DyGG3AbaNP","COABgblf1C","eLxqMNBOBk","SUmda5xLS4","Asc51vEJeQ","XTarYq4gQB"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=9732","layer":4},{"info":"number node, value=1931","layer":4},{"info":"compute binary expreesion, left_input=9732, right_input=1931, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=691","layer":2},{"info":"number node, value=5062","layer":4},{"info":"number node, value=6334","layer":4},{"info":"compute binary expreesion, left_input=5062, right_input=6334, 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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=691, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1562","layer":4},{"info":"number node, value=2648","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=2648, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-237857","layer":3},{"info":"compute unary expreesion, input=-237857, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":2},{"info":"number node, value=4187","layer":4},{"info":"compute unary expreesion, input=4187, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-615489","layer":3},{"info":"compute unary expreesion, input=-615489, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', 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":2,"result_base":2,"text":"(≉(≮⫘↔10011000000100⨵⪆≮⫘↔11110001011))⨸⪁(≮⫘↔1001111000110∼≮⫘↔1100010111110⩠)⫡⨏(⫓⪴(≮⫘↔11000011010⪄≮⫘↔101001011000))⊭↱(↣≠⋷(⪝⪂⫅≮⫘↔1000001011011))=NaN","reverse_text":"NaN=(≉(≮⫘↔10011000000100⨵⪆≮⫘↔11110001011))⨸⪁(≮⫘↔1001111000110∼≮⫘↔1100010111110⩠)⫡⨏(⫓⪴(≮⫘↔11000011010⪄≮⫘↔101001011000))⊭↱(↣≠⋷(⪝⪂⫅≮⫘↔1000001011011))","cot":[{"info":"≮⫘↔10011000000100⨵⪆≮⫘↔11110001011=≮⫘↔10100000","layer":3},{"info":"≉≮⫘↔10100000=≮⫘↔1010110011","layer":2},{"info":"≮⫘↔1001111000110∼≮⫘↔1100010111110=NaN","layer":3},{"info":"NaN⩠=NaN","layer":2},{"info":"≮⫘↔1010110011⨸⪁NaN=NaN","layer":1},{"info":"≮⫘↔11000011010⪄≮⫘↔101001011000=≮⫘↔-111010000100100001","layer":3},{"info":"⫓⪴≮⫘↔-111010000100100001=Inf","layer":2},{"info":"⪝⪂⫅≮⫘↔1000001011011=≮⫘↔-10010110010001000001","layer":3},{"info":"↣≠⋷≮⫘↔-10010110010001000001=NaN","layer":2},{"info":"Inf⊭↱NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":875,"expression_no_base_symbol":"($1788$⪮%⊝$2047$⫡⨏$2991$∀⇚≩$8111$)⇷(($4219$∲⫓$3677$)⊉≛↸($4632$↛⩡⫤))⫡⨏(-(($1404$≧⫂∧$1378$)⩠))","expression":"(≮⫘↔11011111100⪮%⊝≮⫘↔11111111111⫡⨏≮⫘↔101110101111∀⇚≩≮⫘↔1111110101111)⇷((≮⫘↔1000001111011∲⫓≮⫘↔111001011101)⊉≛↸(≮⫘↔1001000011000↛⩡⫤))⫡⨏(-((≮⫘↔10101111100≧⫂∧≮⫘↔10101100010)⩠))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":35021,"operation_count":11,"complexity_ratio":3183.7272727272725,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1788,"base":2},"right_expr":{"type":"numeric_atoms","value":2047,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2991,"base":2},"right_expr":{"type":"numeric_atoms","value":8111,"base":2}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4219,"base":2},"right_expr":{"type":"numeric_atoms","value":3677,"base":2}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":4632,"base":2}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1404,"base":2},"right_expr":{"type":"numeric_atoms","value":1378,"base":2}}}}},"used_operators":["QMFrweE19q","mp7IySMOzn","IWmyXbctLI","LRNGc0VcxI","DZ8iAZOCBD","i8ToyICDmI","FU0Cs4j7VP","t8gj7n24qd","sJAwomhLZr","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔1100001111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1788","layer":4},{"info":"number node, value=2047","layer":4},{"info":"compute binary expreesion, left_input=1788, right_input=2047, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3892","layer":3},{"info":"number node, value=2991","layer":4},{"info":"number node, value=8111","layer":4},{"info":"compute binary expreesion, left_input=2991, right_input=8111, 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=3892, 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":"number node, value=4219","layer":4},{"info":"number node, value=3677","layer":4},{"info":"compute binary expreesion, left_input=4219, right_input=3677, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4632","layer":4},{"info":"compute unary expreesion, input=4632, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-695521","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-695521, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":1},{"info":"number node, value=1404","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=1404, right_input=1378, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=905","layer":3},{"info":"compute unary expreesion, input=905, 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 = t8gj7n24qd, unary_op_definition = 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, 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=783","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11011111100⪮%⊝≮⫘↔11111111111⫡⨏≮⫘↔101110101111∀⇚≩≮⫘↔1111110101111)⇷((≮⫘↔1000001111011∲⫓≮⫘↔111001011101)⊉≛↸(≮⫘↔1001000011000↛⩡⫤))⫡⨏(-((≮⫘↔10101111100≧⫂∧≮⫘↔10101100010)⩠))=≮⫘↔1100001111","reverse_text":"≮⫘↔1100001111=(≮⫘↔11011111100⪮%⊝≮⫘↔11111111111⫡⨏≮⫘↔101110101111∀⇚≩≮⫘↔1111110101111)⇷((≮⫘↔1000001111011∲⫓≮⫘↔111001011101)⊉≛↸(≮⫘↔1001000011000↛⩡⫤))⫡⨏(-((≮⫘↔10101111100≧⫂∧≮⫘↔10101100010)⩠))","cot":[{"info":"≮⫘↔11011111100⪮%⊝≮⫘↔11111111111=≮⫘↔111100110100","layer":3},{"info":"≮⫘↔101110101111∀⇚≩≮⫘↔1111110101111=NaN","layer":3},{"info":"≮⫘↔111100110100⫡⨏NaN=NaN","layer":2},{"info":"≮⫘↔1000001111011∲⫓≮⫘↔111001011101=≮⫘↔0","layer":3},{"info":"≮⫘↔1001000011000↛⩡⫤=≮⫘↔-10101001110011100001","layer":3},{"info":"≮⫘↔0⊉≛↸≮⫘↔-10101001110011100001=≮⫘↔0","layer":2},{"info":"NaN⇷≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔10101111100≧⫂∧≮⫘↔10101100010=≮⫘↔1110001001","layer":3},{"info":"≮⫘↔1110001001⩠=≮⫘↔0","layer":2},{"info":"-≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔0⫡⨏≮⫘↔0=≮⫘↔1100001111","layer":0}]}
{"id":876,"expression_no_base_symbol":"($3827$⇷$1430$⩚⊴⇥$1846$≧⫂∧$1183$⩚⊴⇥(($1522$⊭↱$1310$)⫥∨⫟($2152$⩨$6951$)))⪛(($1162$-$1447$)⫸⊐(-$4086$)+(⊥$3764$)≧⫂∧$6027$⇷$1486$)","expression":"(≮⫘↔111011110011⇷≮⫘↔10110010110⩚⊴⇥≮⫘↔11100110110≧⫂∧≮⫘↔10010011111⩚⊴⇥((≮⫘↔10111110010⊭↱≮⫘↔10100011110)⫥∨⫟(≮⫘↔100001101000⩨≮⫘↔1101100100111)))⪛((≮⫘↔10010001010-≮⫘↔10110100111)⫸⊐(-≮⫘↔111111110110)+(⊥≮⫘↔111010110100)≧⫂∧≮⫘↔1011110001011⇷≮⫘↔10111001110)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":138154,"operation_count":15,"complexity_ratio":9210.266666666666,"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":3827,"base":2},"right_expr":{"type":"numeric_atoms","value":1430,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1846,"base":2},"right_expr":{"type":"numeric_atoms","value":1183,"base":2}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1522,"base":2},"right_expr":{"type":"numeric_atoms","value":1310,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2152,"base":2},"right_expr":{"type":"numeric_atoms","value":6951,"base":2}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1162,"base":2},"right_expr":{"type":"numeric_atoms","value":1447,"base":2}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4086,"base":2}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3764,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6027,"base":2},"right_expr":{"type":"numeric_atoms","value":1486,"base":2}}}}},"used_operators":["uFcxV4UQCh","NTOWxs364D","mp7IySMOzn","Ph9nP6C5qx","KYD54nUTWz","COABgblf1C","2DlMacCsIx","W4YGzv6Whe","mqXw5SEYmG","rysDP5nf3Z","t8gj7n24qd","Q3PJZHRvZv"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3827","layer":4},{"info":"number node, value=1430","layer":4},{"info":"compute binary expreesion, left_input=3827, right_input=1430, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2860","layer":3},{"info":"number node, value=1846","layer":4},{"info":"number node, value=1183","layer":4},{"info":"compute binary expreesion, left_input=1846, right_input=1183, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=710","layer":3},{"info":"compute binary expreesion, left_input=2860, right_input=710, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3691","layer":2},{"info":"number node, value=1522","layer":4},{"info":"number node, value=1310","layer":4},{"info":"compute binary expreesion, left_input=1522, right_input=1310, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-419","layer":3},{"info":"number node, value=2152","layer":4},{"info":"number node, value=6951","layer":4},{"info":"compute binary expreesion, left_input=2152, right_input=6951, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"compute binary expreesion, left_input=-419, right_input=-9, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3691, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=1162","layer":4},{"info":"number node, value=1447","layer":4},{"info":"compute binary expreesion, left_input=1162, right_input=1447, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-285","layer":3},{"info":"number node, value=4086","layer":4},{"info":"compute unary expreesion, input=4086, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4086","layer":3},{"info":"compute binary expreesion, left_input=-285, right_input=-4086, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=199","layer":2},{"info":"number node, value=3764","layer":4},{"info":"compute unary expreesion, input=3764, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=6027","layer":4},{"info":"number node, value=1486","layer":4},{"info":"compute binary expreesion, left_input=6027, right_input=1486, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2972","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2972, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2499","layer":2},{"info":"compute binary expreesion, left_input=199, right_input=2499, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2698","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2698, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔111011110011⇷≮⫘↔10110010110⩚⊴⇥≮⫘↔11100110110≧⫂∧≮⫘↔10010011111⩚⊴⇥((≮⫘↔10111110010⊭↱≮⫘↔10100011110)⫥∨⫟(≮⫘↔100001101000⩨≮⫘↔1101100100111)))⪛((≮⫘↔10010001010-≮⫘↔10110100111)⫸⊐(-≮⫘↔111111110110)+(⊥≮⫘↔111010110100)≧⫂∧≮⫘↔1011110001011⇷≮⫘↔10111001110)=NaN","reverse_text":"NaN=(≮⫘↔111011110011⇷≮⫘↔10110010110⩚⊴⇥≮⫘↔11100110110≧⫂∧≮⫘↔10010011111⩚⊴⇥((≮⫘↔10111110010⊭↱≮⫘↔10100011110)⫥∨⫟(≮⫘↔100001101000⩨≮⫘↔1101100100111)))⪛((≮⫘↔10010001010-≮⫘↔10110100111)⫸⊐(-≮⫘↔111111110110)+(⊥≮⫘↔111010110100)≧⫂∧≮⫘↔1011110001011⇷≮⫘↔10111001110)","cot":[{"info":"≮⫘↔111011110011⇷≮⫘↔10110010110=≮⫘↔101100101100","layer":3},{"info":"≮⫘↔11100110110≧⫂∧≮⫘↔10010011111=≮⫘↔1011000110","layer":3},{"info":"≮⫘↔101100101100⩚⊴⇥≮⫘↔1011000110=≮⫘↔-111001101011","layer":2},{"info":"≮⫘↔10111110010⊭↱≮⫘↔10100011110=≮⫘↔-110100011","layer":3},{"info":"≮⫘↔100001101000⩨≮⫘↔1101100100111=≮⫘↔-1001","layer":3},{"info":"≮⫘↔-110100011⫥∨⫟≮⫘↔-1001=NaN","layer":2},{"info":"≮⫘↔-111001101011⩚⊴⇥NaN=NaN","layer":1},{"info":"≮⫘↔10010001010-≮⫘↔10110100111=≮⫘↔-100011101","layer":3},{"info":"-≮⫘↔111111110110=≮⫘↔-111111110110","layer":3},{"info":"≮⫘↔-100011101⫸⊐≮⫘↔-111111110110=≮⫘↔11000111","layer":2},{"info":"⊥≮⫘↔111010110100=NaN","layer":3},{"info":"≮⫘↔1011110001011⇷≮⫘↔10111001110=≮⫘↔101110011100","layer":3},{"info":"NaN≧⫂∧≮⫘↔101110011100=≮⫘↔100111000011","layer":2},{"info":"≮⫘↔11000111+≮⫘↔100111000011=≮⫘↔101010001010","layer":1},{"info":"NaN⪛≮⫘↔101010001010=NaN","layer":0}]}
{"id":877,"expression_no_base_symbol":"↥($3257$⋥≓≎$3120$↺(∂$1987$)↙($2923$⫸⊐$1671$/$1378$*$4792$))","expression":"↥(≮⫘↔110010111001⋥≓≎≮⫘↔110000110000↺(∂≮⫘↔11111000011)↙(≮⫘↔101101101011⫸⊐≮⫘↔11010000111/≮⫘↔10101100010*≮⫘↔1001010111000))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1412,"operation_count":8,"complexity_ratio":176.5,"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":3257,"base":2},"right_expr":{"type":"numeric_atoms","value":3120,"base":2}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1987,"base":2}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2923,"base":2},"right_expr":{"type":"numeric_atoms","value":1671,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1378,"base":2},"right_expr":{"type":"numeric_atoms","value":4792,"base":2}}}}},"used_operators":["A8NUZmVepG","yyfyN0ffXY","7j4O788W3g","Qy55tPpLXF","Uaa54Peajs","XhwjNDsVaA","mqXw5SEYmG","9HNa5Wba9A"],"dependent_operators":["k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3257","layer":4},{"info":"number node, value=3120","layer":4},{"info":"compute binary expreesion, left_input=3257, right_input=3120, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3016","layer":3},{"info":"number node, value=1987","layer":4},{"info":"compute unary expreesion, input=1987, 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=3016, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"number node, value=2923","layer":4},{"info":"number node, value=1671","layer":4},{"info":"compute binary expreesion, left_input=2923, right_input=1671, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6559","layer":3},{"info":"number node, value=1378","layer":4},{"info":"number node, value=4792","layer":4},{"info":"compute binary expreesion, left_input=1378, right_input=4792, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6603376","layer":3},{"info":"compute binary expreesion, left_input=6559, right_input=6603376, op_id = XhwjNDsVaA binary_op_definition= 'None', 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 unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"↥(≮⫘↔110010111001⋥≓≎≮⫘↔110000110000↺(∂≮⫘↔11111000011)↙(≮⫘↔101101101011⫸⊐≮⫘↔11010000111/≮⫘↔10101100010*≮⫘↔1001010111000))=NaN","reverse_text":"NaN=↥(≮⫘↔110010111001⋥≓≎≮⫘↔110000110000↺(∂≮⫘↔11111000011)↙(≮⫘↔101101101011⫸⊐≮⫘↔11010000111/≮⫘↔10101100010*≮⫘↔1001010111000))","cot":[{"info":"≮⫘↔110010111001⋥≓≎≮⫘↔110000110000=≮⫘↔101111001000","layer":3},{"info":"∂≮⫘↔11111000011=NaN","layer":3},{"info":"≮⫘↔101111001000↺NaN=NaN","layer":2},{"info":"≮⫘↔101101101011⫸⊐≮⫘↔11010000111=≮⫘↔1100110011111","layer":3},{"info":"≮⫘↔10101100010*≮⫘↔1001010111000=≮⫘↔11001001100001001110000","layer":3},{"info":"≮⫘↔1100110011111/≮⫘↔11001001100001001110000=≮⫘↔0","layer":2},{"info":"NaN↙≮⫘↔0=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":878,"expression_no_base_symbol":"((($3656$⪄$7447$)⨽(↯⪼$3671$))⩤)↺(⨈⫕(↣≠⋷$3105$)≧⫂∧$4490$⨟⋌⩍$5497$)","expression":"(((≮⫘↔111001001000⪄≮⫘↔1110100010111)⨽(↯⪼≮⫘↔111001010111))⩤)↺(⨈⫕(↣≠⋷≮⫘↔110000100001)≧⫂∧≮⫘↔1000110001010⨟⋌⩍≮⫘↔1010101111001)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":567494,"operation_count":9,"complexity_ratio":63054.88888888889,"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":3656,"base":2},"right_expr":{"type":"numeric_atoms","value":7447,"base":2}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3671,"base":2}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3105,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4490,"base":2},"right_expr":{"type":"numeric_atoms","value":5497,"base":2}}}}},"used_operators":["7j4O788W3g","Z2TMIBDE3Q","8HhzD0ZcuI","SUmda5xLS4","8jW3W4yZS5","megm06wKyl","Ph9nP6C5qx","Asc51vEJeQ","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","Tcnh7f0tEr"],"result":"≮⫘↔-10101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3656","layer":4},{"info":"number node, value=7447","layer":4},{"info":"compute binary expreesion, left_input=3656, right_input=7447, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-566965","layer":3},{"info":"number node, value=3671","layer":4},{"info":"compute unary expreesion, input=3671, 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=-566965, right_input=-21, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"compute unary expreesion, input=-inf, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=inf","layer":1},{"info":"number node, value=3105","layer":4},{"info":"compute unary expreesion, input=3105, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=4490","layer":4},{"info":"number node, value=5497","layer":4},{"info":"compute binary expreesion, left_input=4490, right_input=5497, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=inf, right_input=-21, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-21","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔111001001000⪄≮⫘↔1110100010111)⨽(↯⪼≮⫘↔111001010111))⩤)↺(⨈⫕(↣≠⋷≮⫘↔110000100001)≧⫂∧≮⫘↔1000110001010⨟⋌⩍≮⫘↔1010101111001)=≮⫘↔-10101","reverse_text":"≮⫘↔-10101=(((≮⫘↔111001001000⪄≮⫘↔1110100010111)⨽(↯⪼≮⫘↔111001010111))⩤)↺(⨈⫕(↣≠⋷≮⫘↔110000100001)≧⫂∧≮⫘↔1000110001010⨟⋌⩍≮⫘↔1010101111001)","cot":[{"info":"≮⫘↔111001001000⪄≮⫘↔1110100010111=≮⫘↔-10001010011010110101","layer":3},{"info":"↯⪼≮⫘↔111001010111=≮⫘↔-10101","layer":3},{"info":"≮⫘↔-10001010011010110101⨽≮⫘↔-10101=-Inf","layer":2},{"info":"-Inf⩤=Inf","layer":1},{"info":"↣≠⋷≮⫘↔110000100001=NaN","layer":3},{"info":"≮⫘↔1000110001010⨟⋌⩍≮⫘↔1010101111001=NaN","layer":3},{"info":"NaN≧⫂∧NaN=NaN","layer":2},{"info":"⨈⫕NaN=≮⫘↔-10101","layer":1},{"info":"Inf↺≮⫘↔-10101=≮⫘↔-10101","layer":0}]}
{"id":879,"expression_no_base_symbol":"(((↩$2786$)⊭∹↮)↪⪝)⪮%⊝($6126$⋝⋈⪟$2300$⋝⋈⪟($1255$≎⊠⪸$1371$)⨰((⩦⩻⨪$1042$)-(⇁⨣⪵$5638$)))","expression":"(((↩≮⫘↔101011100010)⊭∹↮)↪⪝)⪮%⊝(≮⫘↔1011111101110⋝⋈⪟≮⫘↔100011111100⋝⋈⪟(≮⫘↔10011100111≎⊠⪸≮⫘↔10101011011)⨰((⩦⩻⨪≮⫘↔10000010010)-(⇁⨣⪵≮⫘↔1011000000110)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1013,"operation_count":11,"complexity_ratio":92.0909090909091,"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":2786,"base":2}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6126,"base":2},"right_expr":{"type":"numeric_atoms","value":2300,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1255,"base":2},"right_expr":{"type":"numeric_atoms","value":1371,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1042,"base":2}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5638,"base":2}}}}},"used_operators":["IWmyXbctLI","l07mrZUIn9","xNBdhnnwKq","jLgFTUHLKL","eewbuw0ToL","2DDjHMKMc0","bJkvcejdHO","rysDP5nf3Z","2td37pGCOC","inkyxCbjAn"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","2DDjHMKMc0","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2786","layer":4},{"info":"compute unary expreesion, input=2786, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-19508","layer":3},{"info":"compute unary expreesion, input=-19508, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-19508","layer":2},{"info":"compute unary expreesion, input=-19508, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-1193538456","layer":1},{"info":"number node, value=6126","layer":4},{"info":"number node, value=2300","layer":4},{"info":"compute binary expreesion, left_input=6126, right_input=2300, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6126","layer":3},{"info":"number node, value=1255","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=1255, right_input=1371, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=324572","layer":3},{"info":"compute binary expreesion, left_input=6126, right_input=324572, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6126","layer":2},{"info":"number node, value=1042","layer":4},{"info":"compute unary expreesion, input=1042, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1042","layer":3},{"info":"number node, value=5638","layer":4},{"info":"compute unary expreesion, input=5638, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1042, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6126, 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=-1193538456, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((↩≮⫘↔101011100010)⊭∹↮)↪⪝)⪮%⊝(≮⫘↔1011111101110⋝⋈⪟≮⫘↔100011111100⋝⋈⪟(≮⫘↔10011100111≎⊠⪸≮⫘↔10101011011)⨰((⩦⩻⨪≮⫘↔10000010010)-(⇁⨣⪵≮⫘↔1011000000110)))=NaN","reverse_text":"NaN=(((↩≮⫘↔101011100010)⊭∹↮)↪⪝)⪮%⊝(≮⫘↔1011111101110⋝⋈⪟≮⫘↔100011111100⋝⋈⪟(≮⫘↔10011100111≎⊠⪸≮⫘↔10101011011)⨰((⩦⩻⨪≮⫘↔10000010010)-(⇁⨣⪵≮⫘↔1011000000110)))","cot":[{"info":"↩≮⫘↔101011100010=≮⫘↔-100110000110100","layer":3},{"info":"≮⫘↔-100110000110100⊭∹↮=≮⫘↔-100110000110100","layer":2},{"info":"≮⫘↔-100110000110100↪⪝=≮⫘↔-1000111001000111111001110011000","layer":1},{"info":"≮⫘↔1011111101110⋝⋈⪟≮⫘↔100011111100=≮⫘↔1011111101110","layer":3},{"info":"≮⫘↔10011100111≎⊠⪸≮⫘↔10101011011=≮⫘↔1001111001111011100","layer":3},{"info":"≮⫘↔1011111101110⋝⋈⪟≮⫘↔1001111001111011100=≮⫘↔1011111101110","layer":2},{"info":"⩦⩻⨪≮⫘↔10000010010=≮⫘↔10000010010","layer":3},{"info":"⇁⨣⪵≮⫘↔1011000000110=NaN","layer":3},{"info":"≮⫘↔10000010010-NaN=NaN","layer":2},{"info":"≮⫘↔1011111101110⨰NaN=NaN","layer":1},{"info":"≮⫘↔-1000111001000111111001110011000⪮%⊝NaN=NaN","layer":0}]}
{"id":880,"expression_no_base_symbol":"($2088$⊴$1113$∑⇟⊟(⊥$1477$))⇷($1773$⩷∴$2236$)⪢($2770$≎⊠⪸$5698$)≧⫂∧((($5486$⩨$2433$)+⇶⊼($7139$≭$1799$))⇋≉)","expression":"(≮⫘↔100000101000⊴≮⫘↔10001011001∑⇟⊟(⊥≮⫘↔10111000101))⇷(≮⫘↔11011101101⩷∴≮⫘↔100010111100)⪢(≮⫘↔101011010010≎⊠⪸≮⫘↔1011001000010)≧⫂∧(((≮⫘↔1010101101110⩨≮⫘↔100110000001)+⇶⊼(≮⫘↔1101111100011≭≮⫘↔11100000111))⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":719102,"operation_count":12,"complexity_ratio":59925.166666666664,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2088,"base":2},"right_expr":{"type":"numeric_atoms","value":1113,"base":2}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1477,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1773,"base":2},"right_expr":{"type":"numeric_atoms","value":2236,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2770,"base":2},"right_expr":{"type":"numeric_atoms","value":5698,"base":2}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5486,"base":2},"right_expr":{"type":"numeric_atoms","value":2433,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7139,"base":2},"right_expr":{"type":"numeric_atoms","value":1799,"base":2}}}}},"used_operators":["Ph9nP6C5qx","mp7IySMOzn","U7g4x0WXJJ","Nsiff2A1zJ","Q3PJZHRvZv","dWAJyo7jo9","9FxExcQeMw","bJkvcejdHO","XIabStNQrY","TpPTUOHfaN","2DlMacCsIx","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","14qkJME0vr","fu6greOZ01","k8jYdgA6NY","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2088","layer":4},{"info":"number node, value=1113","layer":4},{"info":"compute binary expreesion, left_input=2088, right_input=1113, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1477","layer":4},{"info":"compute unary expreesion, input=1477, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1773","layer":4},{"info":"number node, value=2236","layer":4},{"info":"compute binary expreesion, left_input=1773, right_input=2236, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-958","layer":3},{"info":"number node, value=2770","layer":4},{"info":"number node, value=5698","layer":4},{"info":"compute binary expreesion, left_input=2770, right_input=5698, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=716957","layer":3},{"info":"compute binary expreesion, left_input=-958, right_input=716957, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=5486","layer":4},{"info":"number node, value=2433","layer":4},{"info":"compute binary expreesion, left_input=5486, right_input=2433, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=7139","layer":4},{"info":"number node, value=1799","layer":4},{"info":"compute binary expreesion, left_input=7139, right_input=1799, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100000101000⊴≮⫘↔10001011001∑⇟⊟(⊥≮⫘↔10111000101))⇷(≮⫘↔11011101101⩷∴≮⫘↔100010111100)⪢(≮⫘↔101011010010≎⊠⪸≮⫘↔1011001000010)≧⫂∧(((≮⫘↔1010101101110⩨≮⫘↔100110000001)+⇶⊼(≮⫘↔1101111100011≭≮⫘↔11100000111))⇋≉)=NaN","reverse_text":"NaN=(≮⫘↔100000101000⊴≮⫘↔10001011001∑⇟⊟(⊥≮⫘↔10111000101))⇷(≮⫘↔11011101101⩷∴≮⫘↔100010111100)⪢(≮⫘↔101011010010≎⊠⪸≮⫘↔1011001000010)≧⫂∧(((≮⫘↔1010101101110⩨≮⫘↔100110000001)+⇶⊼(≮⫘↔1101111100011≭≮⫘↔11100000111))⇋≉)","cot":[{"info":"≮⫘↔100000101000⊴≮⫘↔10001011001=NaN","layer":3},{"info":"⊥≮⫘↔10111000101=NaN","layer":3},{"info":"NaN∑⇟⊟NaN=NaN","layer":2},{"info":"≮⫘↔11011101101⩷∴≮⫘↔100010111100=≮⫘↔-1110111110","layer":3},{"info":"≮⫘↔101011010010≎⊠⪸≮⫘↔1011001000010=≮⫘↔10101111000010011101","layer":3},{"info":"≮⫘↔-1110111110⪢≮⫘↔10101111000010011101=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"≮⫘↔1010101101110⩨≮⫘↔100110000001=≮⫘↔0","layer":3},{"info":"≮⫘↔1101111100011≭≮⫘↔11100000111=NaN","layer":3},{"info":"≮⫘↔0+⇶⊼NaN=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":881,"expression_no_base_symbol":"($6158$⨟⋌⩍$2131$%$2720$⨎$1196$)⫸⊐($2270$+$1682$)⪢(⨈⫕$2888$)⫡⨏($3495$⋓$3199$≫≃)⫥∨⫟(⩦⩻⨪($1859$≫≃))","expression":"(≮⫘↔1100000001110⨟⋌⩍≮⫘↔100001010011%≮⫘↔101010100000⨎≮⫘↔10010101100)⫸⊐(≮⫘↔100011011110+≮⫘↔11010010010)⪢(⨈⫕≮⫘↔101101001000)⫡⨏(≮⫘↔110110100111⋓≮⫘↔110001111111≫≃)⫥∨⫟(⩦⩻⨪(≮⫘↔11101000011≫≃))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1517,"operation_count":13,"complexity_ratio":116.6923076923077,"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":6158,"base":2},"right_expr":{"type":"numeric_atoms","value":2131,"base":2}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2720,"base":2},"right_expr":{"type":"numeric_atoms","value":1196,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2270,"base":2},"right_expr":{"type":"numeric_atoms","value":1682,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2888,"base":2}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3495,"base":2},"right_expr":{"type":"numeric_atoms","value":3199,"base":2}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1859,"base":2}}}}},"used_operators":["QMFrweE19q","mqXw5SEYmG","k8jYdgA6NY","rGHVDoGpnC","rJVOvQCfKK","dWAJyo7jo9","W4YGzv6Whe","megm06wKyl","KYD54nUTWz","X99M06cbEe","T2fj7uvVaJ","2td37pGCOC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","8HhzD0ZcuI","rGHVDoGpnC","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6158","layer":4},{"info":"number node, value=2131","layer":4},{"info":"compute binary expreesion, left_input=6158, right_input=2131, 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=2720","layer":4},{"info":"number node, value=1196","layer":4},{"info":"compute binary expreesion, left_input=2720, right_input=1196, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1196","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1196, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2270","layer":4},{"info":"number node, value=1682","layer":4},{"info":"compute binary expreesion, left_input=2270, right_input=1682, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3952","layer":3},{"info":"number node, value=2888","layer":4},{"info":"compute unary expreesion, input=2888, 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=3952, right_input=-21, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=3495","layer":4},{"info":"number node, value=3199","layer":4},{"info":"compute binary expreesion, left_input=3495, right_input=3199, 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 = 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=1859","layer":4},{"info":"compute unary expreesion, input=1859, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5119","layer":3},{"info":"compute unary expreesion, input=5119, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5119","layer":2},{"info":"compute binary expreesion, left_input=1401, right_input=5119, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1100000001110⨟⋌⩍≮⫘↔100001010011%≮⫘↔101010100000⨎≮⫘↔10010101100)⫸⊐(≮⫘↔100011011110+≮⫘↔11010010010)⪢(⨈⫕≮⫘↔101101001000)⫡⨏(≮⫘↔110110100111⋓≮⫘↔110001111111≫≃)⫥∨⫟(⩦⩻⨪(≮⫘↔11101000011≫≃))=NaN","reverse_text":"NaN=(≮⫘↔1100000001110⨟⋌⩍≮⫘↔100001010011%≮⫘↔101010100000⨎≮⫘↔10010101100)⫸⊐(≮⫘↔100011011110+≮⫘↔11010010010)⪢(⨈⫕≮⫘↔101101001000)⫡⨏(≮⫘↔110110100111⋓≮⫘↔110001111111≫≃)⫥∨⫟(⩦⩻⨪(≮⫘↔11101000011≫≃))","cot":[{"info":"≮⫘↔1100000001110⨟⋌⩍≮⫘↔100001010011=NaN","layer":3},{"info":"≮⫘↔101010100000⨎≮⫘↔10010101100=≮⫘↔10010101100","layer":3},{"info":"NaN%≮⫘↔10010101100=NaN","layer":2},{"info":"≮⫘↔100011011110+≮⫘↔11010010010=≮⫘↔111101110000","layer":3},{"info":"⨈⫕≮⫘↔101101001000=≮⫘↔-10101","layer":3},{"info":"≮⫘↔111101110000⪢≮⫘↔-10101=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"≮⫘↔110110100111⋓≮⫘↔110001111111=≮⫘↔0","layer":3},{"info":"≮⫘↔0≫≃=≮⫘↔10101111001","layer":2},{"info":"≮⫘↔11101000011≫≃=≮⫘↔1001111111111","layer":3},{"info":"⩦⩻⨪≮⫘↔1001111111111=≮⫘↔1001111111111","layer":2},{"info":"≮⫘↔10101111001⫥∨⫟≮⫘↔1001111111111=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":882,"expression_no_base_symbol":"(⪝⪂⫅(($2337$⨐⩸⫘$3933$)⨐⩸⫘($1910$⩨$5020$)))≎⊠⪸(($1234$↛⩡⫤)⊉≛↸$1895$⪄$4855$)⨓(($1865$⪒$1874$)⨐⩸⫘$5331$∀⇚≩$1929$)","expression":"(⪝⪂⫅((≮⫘↔100100100001⨐⩸⫘≮⫘↔111101011101)⨐⩸⫘(≮⫘↔11101110110⩨≮⫘↔1001110011100)))≎⊠⪸((≮⫘↔10011010010↛⩡⫤)⊉≛↸≮⫘↔11101100111⪄≮⫘↔1001011110111)⨓((≮⫘↔11101001001⪒≮⫘↔11101010010)⨐⩸⫘≮⫘↔1010011010011∀⇚≩≮⫘↔11110001001)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":41358,"operation_count":12,"complexity_ratio":3446.5,"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":2337,"base":2},"right_expr":{"type":"numeric_atoms","value":3933,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1910,"base":2},"right_expr":{"type":"numeric_atoms","value":5020,"base":2}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1234,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1895,"base":2},"right_expr":{"type":"numeric_atoms","value":4855,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1865,"base":2},"right_expr":{"type":"numeric_atoms","value":1874,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5331,"base":2},"right_expr":{"type":"numeric_atoms","value":1929,"base":2}}}}},"used_operators":["bJkvcejdHO","XTarYq4gQB","fu6greOZ01","2DlMacCsIx","3ViojmjbAp","DZ8iAZOCBD","FU0Cs4j7VP","SUmda5xLS4","f6k1SAg4EE","LRNGc0VcxI"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","8w2t5hMYqp","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2337","layer":4},{"info":"number node, value=3933","layer":4},{"info":"compute binary expreesion, left_input=2337, right_input=3933, 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=1910","layer":4},{"info":"number node, value=5020","layer":4},{"info":"compute binary expreesion, left_input=1910, right_input=5020, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6, 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=-3","layer":2},{"info":"compute unary expreesion, input=-3, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=441","layer":1},{"info":"number node, value=1234","layer":4},{"info":"compute unary expreesion, input=1234, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-182423","layer":3},{"info":"number node, value=1895","layer":4},{"info":"number node, value=4855","layer":4},{"info":"compute binary expreesion, left_input=1895, right_input=4855, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-295969","layer":3},{"info":"compute binary expreesion, left_input=-182423, right_input=-295969, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=295969","layer":2},{"info":"number node, value=1865","layer":4},{"info":"number node, value=1874","layer":4},{"info":"compute binary expreesion, left_input=1865, right_input=1874, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3739","layer":3},{"info":"number node, value=5331","layer":4},{"info":"number node, value=1929","layer":4},{"info":"compute binary expreesion, left_input=5331, right_input=1929, 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=-3739, 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=295969, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=441, 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":2,"result_base":2,"text":"(⪝⪂⫅((≮⫘↔100100100001⨐⩸⫘≮⫘↔111101011101)⨐⩸⫘(≮⫘↔11101110110⩨≮⫘↔1001110011100)))≎⊠⪸((≮⫘↔10011010010↛⩡⫤)⊉≛↸≮⫘↔11101100111⪄≮⫘↔1001011110111)⨓((≮⫘↔11101001001⪒≮⫘↔11101010010)⨐⩸⫘≮⫘↔1010011010011∀⇚≩≮⫘↔11110001001)=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=(⪝⪂⫅((≮⫘↔100100100001⨐⩸⫘≮⫘↔111101011101)⨐⩸⫘(≮⫘↔11101110110⩨≮⫘↔1001110011100)))≎⊠⪸((≮⫘↔10011010010↛⩡⫤)⊉≛↸≮⫘↔11101100111⪄≮⫘↔1001011110111)⨓((≮⫘↔11101001001⪒≮⫘↔11101010010)⨐⩸⫘≮⫘↔1010011010011∀⇚≩≮⫘↔11110001001)","cot":[{"info":"≮⫘↔100100100001⨐⩸⫘≮⫘↔111101011101=NaN","layer":3},{"info":"≮⫘↔11101110110⩨≮⫘↔1001110011100=≮⫘↔-110","layer":3},{"info":"NaN⨐⩸⫘≮⫘↔-110=≮⫘↔-11","layer":2},{"info":"⪝⪂⫅≮⫘↔-11=≮⫘↔110111001","layer":1},{"info":"≮⫘↔10011010010↛⩡⫤=≮⫘↔-101100100010010111","layer":3},{"info":"≮⫘↔11101100111⪄≮⫘↔1001011110111=≮⫘↔-1001000010000100001","layer":3},{"info":"≮⫘↔-101100100010010111⊉≛↸≮⫘↔-1001000010000100001=≮⫘↔1001000010000100001","layer":2},{"info":"≮⫘↔11101001001⪒≮⫘↔11101010010=≮⫘↔-111010011011","layer":3},{"info":"≮⫘↔1010011010011∀⇚≩≮⫘↔11110001001=NaN","layer":3},{"info":"≮⫘↔-111010011011⨐⩸⫘NaN=NaN","layer":2},{"info":"≮⫘↔1001000010000100001⨓NaN=NaN","layer":1},{"info":"≮⫘↔110111001≎⊠⪸NaN=≮⫘↔1000011","layer":0}]}
{"id":883,"expression_no_base_symbol":"(($1785$⊘)+($1975$⫡⨏$1897$))⫥∨⫟((≦∁$1441$)-$1035$⊉≛↸$1013$)⪨≂(($3321$⪄$1267$⋷$1709$⇷$1588$)⊦⊿)","expression":"((≮⫘↔11011111001⊘)+(≮⫘↔11110110111⫡⨏≮⫘↔11101101001))⫥∨⫟((≦∁≮⫘↔10110100001)-≮⫘↔10000001011⊉≛↸≮⫘↔1111110101)⪨≂((≮⫘↔110011111001⪄≮⫘↔10011110011⋷≮⫘↔11010101101⇷≮⫘↔11000110100)⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":24225,"operation_count":12,"complexity_ratio":2018.75,"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":1785,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1975,"base":2},"right_expr":{"type":"numeric_atoms","value":1897,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1441,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1035,"base":2},"right_expr":{"type":"numeric_atoms","value":1013,"base":2}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3321,"base":2},"right_expr":{"type":"numeric_atoms","value":1267,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1709,"base":2},"right_expr":{"type":"numeric_atoms","value":1588,"base":2}}}}},"used_operators":["sdazOOVcIp","KYD54nUTWz","W4YGzv6Whe","gu96TGCTMs","QMFrweE19q","rysDP5nf3Z","9ICcGScMcE","DZ8iAZOCBD","14qkJME0vr","23Mk6UjR3U","SUmda5xLS4","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1785","layer":4},{"info":"compute unary expreesion, input=1785, 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=1975","layer":4},{"info":"number node, value=1897","layer":4},{"info":"compute binary expreesion, left_input=1975, right_input=1897, 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=14452","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=14452, op_id = W4YGzv6Whe binary_op_definition= 'None', output=14452","layer":2},{"info":"number node, value=1441","layer":4},{"info":"compute unary expreesion, input=1441, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1441","layer":3},{"info":"number node, value=1035","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=1013, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2070","layer":3},{"info":"compute binary expreesion, left_input=1441, right_input=2070, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-629","layer":2},{"info":"compute binary expreesion, left_input=14452, right_input=-629, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3321","layer":4},{"info":"number node, value=1267","layer":4},{"info":"compute binary expreesion, left_input=3321, right_input=1267, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-492665","layer":3},{"info":"number node, value=1709","layer":4},{"info":"number node, value=1588","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=1588, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3176","layer":3},{"info":"compute binary expreesion, left_input=-492665, right_input=3176, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=985330","layer":2},{"info":"compute unary expreesion, input=985330, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-2956069","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2956069, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11011111001⊘)+(≮⫘↔11110110111⫡⨏≮⫘↔11101101001))⫥∨⫟((≦∁≮⫘↔10110100001)-≮⫘↔10000001011⊉≛↸≮⫘↔1111110101)⪨≂((≮⫘↔110011111001⪄≮⫘↔10011110011⋷≮⫘↔11010101101⇷≮⫘↔11000110100)⊦⊿)=NaN","reverse_text":"NaN=((≮⫘↔11011111001⊘)+(≮⫘↔11110110111⫡⨏≮⫘↔11101101001))⫥∨⫟((≦∁≮⫘↔10110100001)-≮⫘↔10000001011⊉≛↸≮⫘↔1111110101)⪨≂((≮⫘↔110011111001⪄≮⫘↔10011110011⋷≮⫘↔11010101101⇷≮⫘↔11000110100)⊦⊿)","cot":[{"info":"≮⫘↔11011111001⊘=≮⫘↔0","layer":3},{"info":"≮⫘↔11110110111⫡⨏≮⫘↔11101101001=≮⫘↔11100001110100","layer":3},{"info":"≮⫘↔0+≮⫘↔11100001110100=≮⫘↔11100001110100","layer":2},{"info":"≦∁≮⫘↔10110100001=≮⫘↔10110100001","layer":3},{"info":"≮⫘↔10000001011⊉≛↸≮⫘↔1111110101=≮⫘↔100000010110","layer":3},{"info":"≮⫘↔10110100001-≮⫘↔100000010110=≮⫘↔-1001110101","layer":2},{"info":"≮⫘↔11100001110100⫥∨⫟≮⫘↔-1001110101=NaN","layer":1},{"info":"≮⫘↔110011111001⪄≮⫘↔10011110011=≮⫘↔-1111000010001111001","layer":3},{"info":"≮⫘↔11010101101⇷≮⫘↔11000110100=≮⫘↔110001101000","layer":3},{"info":"≮⫘↔-1111000010001111001⋷≮⫘↔110001101000=≮⫘↔11110000100011110010","layer":2},{"info":"≮⫘↔11110000100011110010⊦⊿=≮⫘↔-1011010001101100100101","layer":1},{"info":"NaN⪨≂≮⫘↔-1011010001101100100101=NaN","layer":0}]}
{"id":884,"expression_no_base_symbol":"-(($1748$⨸⪁$1174$)⨪↰⇹$2420$⪛$6683$⩤)","expression":"-((≮⫘↔11011010100⨸⪁≮⫘↔10010010110)⨪↰⇹≮⫘↔100101110100⪛≮⫘↔1101000011011⩤)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5853,"operation_count":5,"complexity_ratio":1170.6,"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":1748,"base":2},"right_expr":{"type":"numeric_atoms","value":1174,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2420,"base":2},"right_expr":{"type":"numeric_atoms","value":6683,"base":2}}}}},"used_operators":["t8gj7n24qd","Z2TMIBDE3Q","tmPS8pqC7x","g55IO6H4Gj","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"≮⫘↔1011011010100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1748","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=1748, right_input=1174, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5844","layer":3},{"info":"number node, value=2420","layer":4},{"info":"number node, value=6683","layer":4},{"info":"compute binary expreesion, left_input=2420, right_input=6683, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2420","layer":3},{"info":"compute binary expreesion, left_input=5844, right_input=2420, 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=5844","layer":2},{"info":"compute unary expreesion, input=5844, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5844","layer":1},{"info":"compute unary expreesion, input=-5844, op_id = t8gj7n24qd, unary_op_definition = 'None', output=5844","layer":0}],"base":2,"result_base":2,"text":"-((≮⫘↔11011010100⨸⪁≮⫘↔10010010110)⨪↰⇹≮⫘↔100101110100⪛≮⫘↔1101000011011⩤)=≮⫘↔1011011010100","reverse_text":"≮⫘↔1011011010100=-((≮⫘↔11011010100⨸⪁≮⫘↔10010010110)⨪↰⇹≮⫘↔100101110100⪛≮⫘↔1101000011011⩤)","cot":[{"info":"≮⫘↔11011010100⨸⪁≮⫘↔10010010110=≮⫘↔1011011010100","layer":3},{"info":"≮⫘↔100101110100⪛≮⫘↔1101000011011=≮⫘↔100101110100","layer":3},{"info":"≮⫘↔1011011010100⨪↰⇹≮⫘↔100101110100=≮⫘↔1011011010100","layer":2},{"info":"≮⫘↔1011011010100⩤=≮⫘↔-1011011010100","layer":1},{"info":"-≮⫘↔-1011011010100=≮⫘↔1011011010100","layer":0}]}
{"id":885,"expression_no_base_symbol":"($1078$-$5283$)⪮%⊝($7065$≫≃)⩷∴($1105$⨳⩥⨓$1995$)⇷($7579$≋⫹)∲⫓(⇁⨣⪵$6387$)↬(⫓⪴$2697$)⋓(≤/$5312$)⨓(⩦⩻⨪$3331$)","expression":"(≮⫘↔10000110110-≮⫘↔1010010100011)⪮%⊝(≮⫘↔1101110011001≫≃)⩷∴(≮⫘↔10001010001⨳⩥⨓≮⫘↔11111001011)⇷(≮⫘↔1110110011011≋⫹)∲⫓(⇁⨣⪵≮⫘↔1100011110011)↬(⫓⪴≮⫘↔101010001001)⋓(≤/≮⫘↔1010011000000)⨓(⩦⩻⨪≮⫘↔110100000011)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":18551,"operation_count":15,"complexity_ratio":1236.7333333333333,"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":1078,"base":2},"right_expr":{"type":"numeric_atoms","value":5283,"base":2}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":7065,"base":2}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1105,"base":2},"right_expr":{"type":"numeric_atoms","value":1995,"base":2}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":7579,"base":2}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6387,"base":2}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2697,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5312,"base":2}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3331,"base":2}}}}},"used_operators":["i8ToyICDmI","9FxExcQeMw","IWmyXbctLI","rysDP5nf3Z","X99M06cbEe","mp7IySMOzn","nCS4ZIUYfx","N41Kp7NANJ","T2fj7uvVaJ","B5M0gjZbta","inkyxCbjAn","eLxqMNBOBk","3ViojmjbAp","eLAdDNolq6","2td37pGCOC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","B5M0gjZbta","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1078","layer":4},{"info":"number node, value=5283","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=5283, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4205","layer":3},{"info":"number node, value=7065","layer":4},{"info":"compute unary expreesion, input=7065, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=15531","layer":3},{"info":"compute binary expreesion, left_input=-4205, right_input=15531, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-8094","layer":2},{"info":"number node, value=1105","layer":4},{"info":"number node, value=1995","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=1995, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=890","layer":3},{"info":"number node, value=7579","layer":4},{"info":"compute unary expreesion, input=7579, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-15158","layer":3},{"info":"compute binary expreesion, left_input=890, right_input=-15158, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-8094, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=6387","layer":4},{"info":"compute unary expreesion, input=6387, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2697","layer":4},{"info":"compute unary expreesion, input=2697, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=7273809","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7273809, 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=5312","layer":4},{"info":"compute unary expreesion, input=5312, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4828","layer":3},{"info":"number node, value=3331","layer":4},{"info":"compute unary expreesion, input=3331, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3331","layer":3},{"info":"compute binary expreesion, left_input=-4828, right_input=3331, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3334","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3334, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10000110110-≮⫘↔1010010100011)⪮%⊝(≮⫘↔1101110011001≫≃)⩷∴(≮⫘↔10001010001⨳⩥⨓≮⫘↔11111001011)⇷(≮⫘↔1110110011011≋⫹)∲⫓(⇁⨣⪵≮⫘↔1100011110011)↬(⫓⪴≮⫘↔101010001001)⋓(≤/≮⫘↔1010011000000)⨓(⩦⩻⨪≮⫘↔110100000011)=NaN","reverse_text":"NaN=(≮⫘↔10000110110-≮⫘↔1010010100011)⪮%⊝(≮⫘↔1101110011001≫≃)⩷∴(≮⫘↔10001010001⨳⩥⨓≮⫘↔11111001011)⇷(≮⫘↔1110110011011≋⫹)∲⫓(⇁⨣⪵≮⫘↔1100011110011)↬(⫓⪴≮⫘↔101010001001)⋓(≤/≮⫘↔1010011000000)⨓(⩦⩻⨪≮⫘↔110100000011)","cot":[{"info":"≮⫘↔10000110110-≮⫘↔1010010100011=≮⫘↔-1000001101101","layer":3},{"info":"≮⫘↔1101110011001≫≃=≮⫘↔11110010101011","layer":3},{"info":"≮⫘↔-1000001101101⪮%⊝≮⫘↔11110010101011=≮⫘↔-1111110011110","layer":2},{"info":"≮⫘↔10001010001⨳⩥⨓≮⫘↔11111001011=≮⫘↔1101111010","layer":3},{"info":"≮⫘↔1110110011011≋⫹=≮⫘↔-11101100110110","layer":3},{"info":"≮⫘↔1101111010⇷≮⫘↔-11101100110110=NaN","layer":2},{"info":"≮⫘↔-1111110011110⩷∴NaN=NaN","layer":1},{"info":"⇁⨣⪵≮⫘↔1100011110011=NaN","layer":3},{"info":"⫓⪴≮⫘↔101010001001=≮⫘↔11011101111110101010001","layer":3},{"info":"NaN↬≮⫘↔11011101111110101010001=NaN","layer":2},{"info":"≤/≮⫘↔1010011000000=≮⫘↔-1001011011100","layer":3},{"info":"⩦⩻⨪≮⫘↔110100000011=≮⫘↔110100000011","layer":3},{"info":"≮⫘↔-1001011011100⨓≮⫘↔110100000011=≮⫘↔-110100000110","layer":2},{"info":"NaN⋓≮⫘↔-110100000110=≮⫘↔0","layer":1},{"info":"NaN∲⫓≮⫘↔0=NaN","layer":0}]}
{"id":886,"expression_no_base_symbol":"(⩦⩻⨪$4750$⪮%⊝$1172$⋓($1156$⋥≓≎$1203$))↬((⫛⫱⨽($1179$⨳⩥⨓$1008$))⫩⊇)","expression":"(⩦⩻⨪≮⫘↔1001010001110⪮%⊝≮⫘↔10010010100⋓(≮⫘↔10010000100⋥≓≎≮⫘↔10010110011))↬((⫛⫱⨽(≮⫘↔10010011011⨳⩥⨓≮⫘↔1111110000))⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1117,"operation_count":8,"complexity_ratio":139.625,"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":4750,"base":2},"right_expr":{"type":"numeric_atoms","value":1172,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1156,"base":2},"right_expr":{"type":"numeric_atoms","value":1203,"base":2}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1179,"base":2},"right_expr":{"type":"numeric_atoms","value":1008,"base":2}}}}},"used_operators":["B5M0gjZbta","2td37pGCOC","T2fj7uvVaJ","IWmyXbctLI","Qy55tPpLXF","BjRHVeLaeN","DlLNRPXxWL","nCS4ZIUYfx"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z"],"result":"≮⫘↔101010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4750","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=4750, right_input=1172, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9816","layer":3},{"info":"number node, value=1156","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=1156, right_input=1203, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1283","layer":3},{"info":"compute binary expreesion, left_input=9816, right_input=1283, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=1179","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=1008, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-171","layer":3},{"info":"compute unary expreesion, input=-171, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=42","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=42, 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=42","layer":0}],"base":2,"result_base":2,"text":"(⩦⩻⨪≮⫘↔1001010001110⪮%⊝≮⫘↔10010010100⋓(≮⫘↔10010000100⋥≓≎≮⫘↔10010110011))↬((⫛⫱⨽(≮⫘↔10010011011⨳⩥⨓≮⫘↔1111110000))⫩⊇)=≮⫘↔101010","reverse_text":"≮⫘↔101010=(⩦⩻⨪≮⫘↔1001010001110⪮%⊝≮⫘↔10010010100⋓(≮⫘↔10010000100⋥≓≎≮⫘↔10010110011))↬((⫛⫱⨽(≮⫘↔10010011011⨳⩥⨓≮⫘↔1111110000))⫩⊇)","cot":[{"info":"≮⫘↔1001010001110⪮%⊝≮⫘↔10010010100=≮⫘↔10011001011000","layer":3},{"info":"≮⫘↔10010000100⋥≓≎≮⫘↔10010110011=≮⫘↔10100000011","layer":3},{"info":"≮⫘↔10011001011000⋓≮⫘↔10100000011=≮⫘↔0","layer":2},{"info":"⩦⩻⨪≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔10010011011⨳⩥⨓≮⫘↔1111110000=≮⫘↔-10101011","layer":3},{"info":"⫛⫱⨽≮⫘↔-10101011=≮⫘↔0","layer":2},{"info":"≮⫘↔0⫩⊇=≮⫘↔101010","layer":1},{"info":"≮⫘↔0↬≮⫘↔101010=≮⫘↔101010","layer":0}]}
{"id":887,"expression_no_base_symbol":"(((⨞⊢$1361$)⊠≄⫣)⇼⇔∾((↥$3384$)⊉≛↸$1735$⪄$4932$))⋥≓≎(↣≠⋷(($1022$⨽$1025$)∸))","expression":"(((⨞⊢≮⫘↔10101010001)⊠≄⫣)⇼⇔∾((↥≮⫘↔110100111000)⊉≛↸≮⫘↔11011000111⪄≮⫘↔1001101000100))⋥≓≎(↣≠⋷((≮⫘↔1111111110⨽≮⫘↔10000000001)∸))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":32713,"operation_count":10,"complexity_ratio":3271.3,"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":1361,"base":2}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3384,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1735,"base":2},"right_expr":{"type":"numeric_atoms","value":4932,"base":2}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1022,"base":2},"right_expr":{"type":"numeric_atoms","value":1025,"base":2}}}}},"used_operators":["Qy55tPpLXF","tifHPKVTfV","DIvbN7qnHd","xUOZtlo3hN","DZ8iAZOCBD","A8NUZmVepG","SUmda5xLS4","Asc51vEJeQ","o20kRiQErp","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","tmPS8pqC7x","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1361","layer":4},{"info":"compute unary expreesion, input=1361, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1535","layer":3},{"info":"compute unary expreesion, input=-1535, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=3384","layer":4},{"info":"compute unary expreesion, input=3384, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=18","layer":3},{"info":"number node, value=1735","layer":4},{"info":"number node, value=4932","layer":4},{"info":"compute binary expreesion, left_input=1735, right_input=4932, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-272597","layer":3},{"info":"compute binary expreesion, left_input=18, right_input=-272597, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=36","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=36, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=36","layer":1},{"info":"number node, value=1022","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=1025, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3135213","layer":3},{"info":"compute unary expreesion, input=-3135213, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=36, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((⨞⊢≮⫘↔10101010001)⊠≄⫣)⇼⇔∾((↥≮⫘↔110100111000)⊉≛↸≮⫘↔11011000111⪄≮⫘↔1001101000100))⋥≓≎(↣≠⋷((≮⫘↔1111111110⨽≮⫘↔10000000001)∸))=NaN","reverse_text":"NaN=(((⨞⊢≮⫘↔10101010001)⊠≄⫣)⇼⇔∾((↥≮⫘↔110100111000)⊉≛↸≮⫘↔11011000111⪄≮⫘↔1001101000100))⋥≓≎(↣≠⋷((≮⫘↔1111111110⨽≮⫘↔10000000001)∸))","cot":[{"info":"⨞⊢≮⫘↔10101010001=≮⫘↔-10111111111","layer":3},{"info":"≮⫘↔-10111111111⊠≄⫣=≮⫘↔0","layer":2},{"info":"↥≮⫘↔110100111000=≮⫘↔10010","layer":3},{"info":"≮⫘↔11011000111⪄≮⫘↔1001101000100=≮⫘↔-1000010100011010101","layer":3},{"info":"≮⫘↔10010⊉≛↸≮⫘↔-1000010100011010101=≮⫘↔100100","layer":2},{"info":"≮⫘↔0⇼⇔∾≮⫘↔100100=≮⫘↔100100","layer":1},{"info":"≮⫘↔1111111110⨽≮⫘↔10000000001=≮⫘↔-1011111101011011101101","layer":3},{"info":"≮⫘↔-1011111101011011101101∸=≮⫘↔10110001","layer":2},{"info":"↣≠⋷≮⫘↔10110001=NaN","layer":1},{"info":"≮⫘↔100100⋥≓≎NaN=NaN","layer":0}]}
{"id":888,"expression_no_base_symbol":"(($1135$⨳⩥⨓$1704$-$3405$≭$2702$)⊘)⋳⪒((⪲⇎$5592$)≭($6252$≭$1706$))⩷∴(∥⊫$3374$⨳⩥⨓$3538$)","expression":"((≮⫘↔10001101111⨳⩥⨓≮⫘↔11010101000-≮⫘↔110101001101≭≮⫘↔101010001110)⊘)⋳⪒((⪲⇎≮⫘↔1010111011000)≭(≮⫘↔1100001101100≭≮⫘↔11010101010))⩷∴(∥⊫≮⫘↔110100101110⨳⩥⨓≮⫘↔110111010010)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":50,"operation_count":11,"complexity_ratio":4.545454545454546,"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":1135,"base":2},"right_expr":{"type":"numeric_atoms","value":1704,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3405,"base":2},"right_expr":{"type":"numeric_atoms","value":2702,"base":2}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5592,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6252,"base":2},"right_expr":{"type":"numeric_atoms","value":1706,"base":2}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3374,"base":2},"right_expr":{"type":"numeric_atoms","value":3538,"base":2}}}}},"used_operators":["12rbrZMWeM","gu96TGCTMs","rysDP5nf3Z","nCS4ZIUYfx","rxpJgHHUmx","9FxExcQeMw","XPYlsWDdGa","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1135","layer":4},{"info":"number node, value=1704","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=1704, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=569","layer":3},{"info":"number node, value=3405","layer":4},{"info":"number node, value=2702","layer":4},{"info":"compute binary expreesion, left_input=3405, right_input=2702, 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=569, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":1},{"info":"number node, value=5592","layer":4},{"info":"compute unary expreesion, input=5592, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=11184","layer":3},{"info":"number node, value=6252","layer":4},{"info":"number node, value=1706","layer":4},{"info":"compute binary expreesion, left_input=6252, right_input=1706, 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=11184, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=3374","layer":4},{"info":"number node, value=3538","layer":4},{"info":"compute binary expreesion, left_input=3374, right_input=3538, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=164","layer":3},{"info":"compute unary expreesion, input=164, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1032","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1032, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10001101111⨳⩥⨓≮⫘↔11010101000-≮⫘↔110101001101≭≮⫘↔101010001110)⊘)⋳⪒((⪲⇎≮⫘↔1010111011000)≭(≮⫘↔1100001101100≭≮⫘↔11010101010))⩷∴(∥⊫≮⫘↔110100101110⨳⩥⨓≮⫘↔110111010010)=NaN","reverse_text":"NaN=((≮⫘↔10001101111⨳⩥⨓≮⫘↔11010101000-≮⫘↔110101001101≭≮⫘↔101010001110)⊘)⋳⪒((⪲⇎≮⫘↔1010111011000)≭(≮⫘↔1100001101100≭≮⫘↔11010101010))⩷∴(∥⊫≮⫘↔110100101110⨳⩥⨓≮⫘↔110111010010)","cot":[{"info":"≮⫘↔10001101111⨳⩥⨓≮⫘↔11010101000=≮⫘↔1000111001","layer":3},{"info":"≮⫘↔110101001101≭≮⫘↔101010001110=NaN","layer":3},{"info":"≮⫘↔1000111001-NaN=NaN","layer":2},{"info":"NaN⊘=NaN","layer":1},{"info":"⪲⇎≮⫘↔1010111011000=≮⫘↔10101110110000","layer":3},{"info":"≮⫘↔1100001101100≭≮⫘↔11010101010=NaN","layer":3},{"info":"≮⫘↔10101110110000≭NaN=NaN","layer":2},{"info":"≮⫘↔110100101110⨳⩥⨓≮⫘↔110111010010=≮⫘↔10100100","layer":3},{"info":"∥⊫≮⫘↔10100100=≮⫘↔10000001000","layer":2},{"info":"NaN⩷∴≮⫘↔10000001000=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":889,"expression_no_base_symbol":"(($1603$⫸⊐$1039$⇼⇔∾$1353$⨟⋌⩍$4488$)⪄(↽≂$2683$∀⇚≩$2702$))⪘⫢((⨞⊢($5933$⊉≛↸$2140$))⨸⪁(⩦⩻⨪$1183$⨎$5489$))","expression":"((≮⫘↔11001000011⫸⊐≮⫘↔10000001111⇼⇔∾≮⫘↔10101001001⨟⋌⩍≮⫘↔1000110001000)⪄(↽≂≮⫘↔101001111011∀⇚≩≮⫘↔101010001110))⪘⫢((⨞⊢(≮⫘↔1011100101101⊉≛↸≮⫘↔100001011100))⨸⪁(⩦⩻⨪≮⫘↔10010011111⨎≮⫘↔1010101110001))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":18852,"operation_count":12,"complexity_ratio":1571.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1603,"base":2},"right_expr":{"type":"numeric_atoms","value":1039,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1353,"base":2},"right_expr":{"type":"numeric_atoms","value":4488,"base":2}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2683,"base":2},"right_expr":{"type":"numeric_atoms","value":2702,"base":2}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5933,"base":2},"right_expr":{"type":"numeric_atoms","value":2140,"base":2}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1183,"base":2},"right_expr":{"type":"numeric_atoms","value":5489,"base":2}}}}},"used_operators":["oacrs7FA3X","SUmda5xLS4","tifHPKVTfV","mqXw5SEYmG","rGHVDoGpnC","u6S6b8DprG","LRNGc0VcxI","g55IO6H4Gj","xUOZtlo3hN","DZ8iAZOCBD","2td37pGCOC","rJVOvQCfKK"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"≮⫘↔-1","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1603","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=1603, right_input=1039, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4031","layer":3},{"info":"number node, value=1353","layer":4},{"info":"number node, value=4488","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=4488, 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=4031, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=2683","layer":4},{"info":"number node, value=2702","layer":4},{"info":"compute binary expreesion, left_input=2683, right_input=2702, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=5933","layer":4},{"info":"number node, value=2140","layer":4},{"info":"compute binary expreesion, left_input=5933, right_input=2140, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11866","layer":3},{"info":"compute unary expreesion, input=11866, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-12040","layer":2},{"info":"number node, value=1183","layer":4},{"info":"number node, value=5489","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=5489, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5489","layer":3},{"info":"compute unary expreesion, input=5489, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5489","layer":2},{"info":"compute binary expreesion, left_input=-12040, right_input=5489, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-13102","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=-13102, 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":0}],"base":2,"result_base":2,"text":"((≮⫘↔11001000011⫸⊐≮⫘↔10000001111⇼⇔∾≮⫘↔10101001001⨟⋌⩍≮⫘↔1000110001000)⪄(↽≂≮⫘↔101001111011∀⇚≩≮⫘↔101010001110))⪘⫢((⨞⊢(≮⫘↔1011100101101⊉≛↸≮⫘↔100001011100))⨸⪁(⩦⩻⨪≮⫘↔10010011111⨎≮⫘↔1010101110001))=≮⫘↔-1","reverse_text":"≮⫘↔-1=((≮⫘↔11001000011⫸⊐≮⫘↔10000001111⇼⇔∾≮⫘↔10101001001⨟⋌⩍≮⫘↔1000110001000)⪄(↽≂≮⫘↔101001111011∀⇚≩≮⫘↔101010001110))⪘⫢((⨞⊢(≮⫘↔1011100101101⊉≛↸≮⫘↔100001011100))⨸⪁(⩦⩻⨪≮⫘↔10010011111⨎≮⫘↔1010101110001))","cot":[{"info":"≮⫘↔11001000011⫸⊐≮⫘↔10000001111=≮⫘↔111110111111","layer":3},{"info":"≮⫘↔10101001001⨟⋌⩍≮⫘↔1000110001000=NaN","layer":3},{"info":"≮⫘↔111110111111⇼⇔∾NaN=NaN","layer":2},{"info":"≮⫘↔101001111011∀⇚≩≮⫘↔101010001110=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"NaN⪄NaN=≮⫘↔111110001011","layer":1},{"info":"≮⫘↔1011100101101⊉≛↸≮⫘↔100001011100=≮⫘↔10111001011010","layer":3},{"info":"⨞⊢≮⫘↔10111001011010=≮⫘↔-10111100001000","layer":2},{"info":"≮⫘↔10010011111⨎≮⫘↔1010101110001=≮⫘↔1010101110001","layer":3},{"info":"⩦⩻⨪≮⫘↔1010101110001=≮⫘↔1010101110001","layer":2},{"info":"≮⫘↔-10111100001000⨸⪁≮⫘↔1010101110001=≮⫘↔-11001100101110","layer":1},{"info":"≮⫘↔111110001011⪘⫢≮⫘↔-11001100101110=≮⫘↔-1","layer":0}]}
{"id":890,"expression_no_base_symbol":"((($9194$↪⪝)⪨≂$3135$↙$1807$)∧)⪒(⊄⩳↩((↔$4254$)⊭∹↮))","expression":"(((≮⫘↔10001111101010↪⪝)⪨≂≮⫘↔110000111111↙≮⫘↔11100001111)∧)⪒(⊄⩳↩((↔≮⫘↔1000010011110)⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2535,"operation_count":8,"complexity_ratio":316.875,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":9194,"base":2}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3135,"base":2},"right_expr":{"type":"numeric_atoms","value":1807,"base":2}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4254,"base":2}}}}},"used_operators":["f6k1SAg4EE","z63VuFQld9","sdazOOVcIp","l07mrZUIn9","yyfyN0ffXY","8w2t5hMYqp","xNBdhnnwKq","ruOEQAzv1W"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=9194","layer":4},{"info":"compute unary expreesion, input=9194, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=562507308","layer":3},{"info":"number node, value=3135","layer":4},{"info":"number node, value=1807","layer":4},{"info":"compute binary expreesion, left_input=3135, right_input=1807, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5421","layer":3},{"info":"compute binary expreesion, left_input=562507308, right_input=-5421, 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=1125025560","layer":2},{"info":"compute unary expreesion, input=1125025560, 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=4254","layer":4},{"info":"compute unary expreesion, input=4254, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3981","layer":3},{"info":"compute unary expreesion, input=-3981, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-3981","layer":2},{"info":"compute unary expreesion, input=-3981, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=11943","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=11943, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔10001111101010↪⪝)⪨≂≮⫘↔110000111111↙≮⫘↔11100001111)∧)⪒(⊄⩳↩((↔≮⫘↔1000010011110)⊭∹↮))=NaN","reverse_text":"NaN=(((≮⫘↔10001111101010↪⪝)⪨≂≮⫘↔110000111111↙≮⫘↔11100001111)∧)⪒(⊄⩳↩((↔≮⫘↔1000010011110)⊭∹↮))","cot":[{"info":"≮⫘↔10001111101010↪⪝=≮⫘↔100001100001110010111000101100","layer":3},{"info":"≮⫘↔110000111111↙≮⫘↔11100001111=≮⫘↔-1010100101101","layer":3},{"info":"≮⫘↔100001100001110010111000101100⪨≂≮⫘↔-1010100101101=≮⫘↔1000011000011101000011100011000","layer":2},{"info":"≮⫘↔1000011000011101000011100011000∧=NaN","layer":1},{"info":"↔≮⫘↔1000010011110=≮⫘↔-111110001101","layer":3},{"info":"≮⫘↔-111110001101⊭∹↮=≮⫘↔-111110001101","layer":2},{"info":"⊄⩳↩≮⫘↔-111110001101=≮⫘↔10111010100111","layer":1},{"info":"NaN⪒≮⫘↔10111010100111=NaN","layer":0}]}
{"id":891,"expression_no_base_symbol":"((↔($3946$⫸⊐$1845$))⨽($1937$⨰$1601$)≹⇙⪍($1042$⨪↰⇹$1429$))⨟⋌⩍(($1231$≭$2851$⊭∹↮)⋝⋈⪟((↥$2492$)⊭↱(⨰⫟⨤$2558$)))","expression":"((↔(≮⫘↔111101101010⫸⊐≮⫘↔11100110101))⨽(≮⫘↔11110010001⨰≮⫘↔11001000001)≹⇙⪍(≮⫘↔10000010010⨪↰⇹≮⫘↔10110010101))⨟⋌⩍((≮⫘↔10011001111≭≮⫘↔101100100011⊭∹↮)⋝⋈⪟((↥≮⫘↔100110111100)⊭↱(⨰⫟⨤≮⫘↔100111111110)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17528,"operation_count":13,"complexity_ratio":1348.3076923076924,"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":3946,"base":2},"right_expr":{"type":"numeric_atoms","value":1845,"base":2}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1937,"base":2},"right_expr":{"type":"numeric_atoms","value":1601,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1042,"base":2},"right_expr":{"type":"numeric_atoms","value":1429,"base":2}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1231,"base":2},"right_expr":{"type":"numeric_atoms","value":2851,"base":2}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2492,"base":2}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2558,"base":2}}}}},"used_operators":["rGHVDoGpnC","8HhzD0ZcuI","ruOEQAzv1W","mqXw5SEYmG","AHs5Up7iyr","eewbuw0ToL","tmPS8pqC7x","2DDjHMKMc0","xNBdhnnwKq","rxpJgHHUmx","COABgblf1C","A8NUZmVepG","Tw270M8GLb"],"dependent_operators":["Tcnh7f0tEr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3946","layer":4},{"info":"number node, value=1845","layer":4},{"info":"compute binary expreesion, left_input=3946, right_input=1845, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7255","layer":3},{"info":"compute unary expreesion, input=7255, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-6982","layer":2},{"info":"number node, value=1937","layer":4},{"info":"number node, value=1601","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=1601, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=346","layer":3},{"info":"number node, value=1042","layer":4},{"info":"number node, value=1429","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=1429, 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=1042","layer":3},{"info":"compute binary expreesion, left_input=346, right_input=1042, 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=-6982, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=1231","layer":4},{"info":"number node, value=2851","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=2851, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":2},{"info":"number node, value=2492","layer":4},{"info":"compute unary expreesion, input=2492, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=44","layer":3},{"info":"number node, value=2558","layer":4},{"info":"compute unary expreesion, input=2558, 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=44, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((↔(≮⫘↔111101101010⫸⊐≮⫘↔11100110101))⨽(≮⫘↔11110010001⨰≮⫘↔11001000001)≹⇙⪍(≮⫘↔10000010010⨪↰⇹≮⫘↔10110010101))⨟⋌⩍((≮⫘↔10011001111≭≮⫘↔101100100011⊭∹↮)⋝⋈⪟((↥≮⫘↔100110111100)⊭↱(⨰⫟⨤≮⫘↔100111111110)))=NaN","reverse_text":"NaN=((↔(≮⫘↔111101101010⫸⊐≮⫘↔11100110101))⨽(≮⫘↔11110010001⨰≮⫘↔11001000001)≹⇙⪍(≮⫘↔10000010010⨪↰⇹≮⫘↔10110010101))⨟⋌⩍((≮⫘↔10011001111≭≮⫘↔101100100011⊭∹↮)⋝⋈⪟((↥≮⫘↔100110111100)⊭↱(⨰⫟⨤≮⫘↔100111111110)))","cot":[{"info":"≮⫘↔111101101010⫸⊐≮⫘↔11100110101=≮⫘↔1110001010111","layer":3},{"info":"↔≮⫘↔1110001010111=≮⫘↔-1101101000110","layer":2},{"info":"≮⫘↔11110010001⨰≮⫘↔11001000001=≮⫘↔101011010","layer":3},{"info":"≮⫘↔10000010010⨪↰⇹≮⫘↔10110010101=≮⫘↔10000010010","layer":3},{"info":"≮⫘↔101011010≹⇙⪍≮⫘↔10000010010=NaN","layer":2},{"info":"≮⫘↔-1101101000110⨽NaN=NaN","layer":1},{"info":"≮⫘↔10011001111≭≮⫘↔101100100011=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"↥≮⫘↔100110111100=≮⫘↔101100","layer":3},{"info":"⨰⫟⨤≮⫘↔100111111110=NaN","layer":3},{"info":"≮⫘↔101100⊭↱NaN=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":892,"expression_no_base_symbol":"(($2802$⊭↱$3530$)⋝⋈⪟($2663$⩚⊴⇥$2548$)⨽(⨵≀≌($5884$∲⫓$1304$)))⇷(⩦⩻⨪(↽≂$4555$)∑⇟⊟($3808$⫌⩹⨱))","expression":"((≮⫘↔101011110010⊭↱≮⫘↔110111001010)⋝⋈⪟(≮⫘↔101001100111⩚⊴⇥≮⫘↔100111110100)⨽(⨵≀≌(≮⫘↔1011011111100∲⫓≮⫘↔10100011000)))⇷(⩦⩻⨪(↽≂≮⫘↔1000111001011)∑⇟⊟(≮⫘↔111011100000⫌⩹⨱))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1511,"operation_count":11,"complexity_ratio":137.36363636363637,"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":2802,"base":2},"right_expr":{"type":"numeric_atoms","value":3530,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2663,"base":2},"right_expr":{"type":"numeric_atoms","value":2548,"base":2}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5884,"base":2},"right_expr":{"type":"numeric_atoms","value":1304,"base":2}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4555,"base":2}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3808,"base":2}}}}},"used_operators":["mp7IySMOzn","8HhzD0ZcuI","2DDjHMKMc0","COABgblf1C","NTOWxs364D","srAu1WTS94","i8ToyICDmI","2td37pGCOC","U7g4x0WXJJ","u6S6b8DprG","EBcxylXtPf"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2802","layer":4},{"info":"number node, value=3530","layer":4},{"info":"compute binary expreesion, left_input=2802, right_input=3530, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1461","layer":3},{"info":"number node, value=2663","layer":4},{"info":"number node, value=2548","layer":4},{"info":"compute binary expreesion, left_input=2663, right_input=2548, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5332","layer":3},{"info":"compute binary expreesion, left_input=1461, right_input=-5332, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1461","layer":2},{"info":"number node, value=5884","layer":4},{"info":"number node, value=1304","layer":4},{"info":"compute binary expreesion, left_input=5884, right_input=1304, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1461, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6402249","layer":1},{"info":"number node, value=4555","layer":4},{"info":"compute unary expreesion, input=4555, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9110","layer":3},{"info":"number node, value=3808","layer":4},{"info":"compute unary expreesion, input=3808, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=9017","layer":3},{"info":"compute binary expreesion, left_input=-9110, right_input=9017, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6402249, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101011110010⊭↱≮⫘↔110111001010)⋝⋈⪟(≮⫘↔101001100111⩚⊴⇥≮⫘↔100111110100)⨽(⨵≀≌(≮⫘↔1011011111100∲⫓≮⫘↔10100011000)))⇷(⩦⩻⨪(↽≂≮⫘↔1000111001011)∑⇟⊟(≮⫘↔111011100000⫌⩹⨱))=NaN","reverse_text":"NaN=((≮⫘↔101011110010⊭↱≮⫘↔110111001010)⋝⋈⪟(≮⫘↔101001100111⩚⊴⇥≮⫘↔100111110100)⨽(⨵≀≌(≮⫘↔1011011111100∲⫓≮⫘↔10100011000)))⇷(⩦⩻⨪(↽≂≮⫘↔1000111001011)∑⇟⊟(≮⫘↔111011100000⫌⩹⨱))","cot":[{"info":"≮⫘↔101011110010⊭↱≮⫘↔110111001010=≮⫘↔10110110101","layer":3},{"info":"≮⫘↔101001100111⩚⊴⇥≮⫘↔100111110100=≮⫘↔-1010011010100","layer":3},{"info":"≮⫘↔10110110101⋝⋈⪟≮⫘↔-1010011010100=≮⫘↔10110110101","layer":2},{"info":"≮⫘↔1011011111100∲⫓≮⫘↔10100011000=≮⫘↔0","layer":3},{"info":"⨵≀≌≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔10110110101⨽≮⫘↔0=≮⫘↔-11000011011000011001001","layer":1},{"info":"↽≂≮⫘↔1000111001011=≮⫘↔-10001110010110","layer":3},{"info":"≮⫘↔111011100000⫌⩹⨱=≮⫘↔10001100111001","layer":3},{"info":"≮⫘↔-10001110010110∑⇟⊟≮⫘↔10001100111001=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"≮⫘↔-11000011011000011001001⇷NaN=NaN","layer":0}]}
{"id":893,"expression_no_base_symbol":"⊙↵-((($1055$⨁⊸⫻)⇼⇔∾($5380$/$1664$))⪄$5302$⋳⪒$3396$↙($1224$⫡⨏$1633$))","expression":"⊙↵-(((≮⫘↔10000011111⨁⊸⫻)⇼⇔∾(≮⫘↔1010100000100/≮⫘↔11010000000))⪄≮⫘↔1010010110110⋳⪒≮⫘↔110101000100↙(≮⫘↔10011001000⫡⨏≮⫘↔11001100001))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":14309,"operation_count":8,"complexity_ratio":1788.625,"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":1055,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5380,"base":2},"right_expr":{"type":"numeric_atoms","value":1664,"base":2}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5302,"base":2},"right_expr":{"type":"numeric_atoms","value":3396,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1224,"base":2},"right_expr":{"type":"numeric_atoms","value":1633,"base":2}}}}},"used_operators":["oWn0xqSxBt","SUmda5xLS4","tifHPKVTfV","glklzrTFfD","XhwjNDsVaA","yyfyN0ffXY","12rbrZMWeM","QMFrweE19q"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-1","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1055","layer":4},{"info":"compute unary expreesion, input=1055, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1055","layer":3},{"info":"number node, value=5380","layer":4},{"info":"number node, value=1664","layer":4},{"info":"compute binary expreesion, left_input=5380, right_input=1664, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute binary expreesion, left_input=1055, right_input=3, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1052","layer":2},{"info":"number node, value=5302","layer":4},{"info":"number node, value=3396","layer":4},{"info":"compute binary expreesion, left_input=5302, right_input=3396, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6921","layer":3},{"info":"number node, value=1224","layer":4},{"info":"number node, value=1633","layer":4},{"info":"compute binary expreesion, left_input=1224, right_input=1633, 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=10169","layer":3},{"info":"compute binary expreesion, left_input=6921, right_input=10169, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-30507","layer":2},{"info":"compute binary expreesion, left_input=-1052, right_input=-30507, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute unary expreesion, input=3979, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":0}],"base":2,"result_base":2,"text":"⊙↵-(((≮⫘↔10000011111⨁⊸⫻)⇼⇔∾(≮⫘↔1010100000100/≮⫘↔11010000000))⪄≮⫘↔1010010110110⋳⪒≮⫘↔110101000100↙(≮⫘↔10011001000⫡⨏≮⫘↔11001100001))=≮⫘↔-1","reverse_text":"≮⫘↔-1=⊙↵-(((≮⫘↔10000011111⨁⊸⫻)⇼⇔∾(≮⫘↔1010100000100/≮⫘↔11010000000))⪄≮⫘↔1010010110110⋳⪒≮⫘↔110101000100↙(≮⫘↔10011001000⫡⨏≮⫘↔11001100001))","cot":[{"info":"≮⫘↔10000011111⨁⊸⫻=≮⫘↔10000011111","layer":3},{"info":"≮⫘↔1010100000100/≮⫘↔11010000000=≮⫘↔11","layer":3},{"info":"≮⫘↔10000011111⇼⇔∾≮⫘↔11=≮⫘↔-10000011100","layer":2},{"info":"≮⫘↔1010010110110⋳⪒≮⫘↔110101000100=≮⫘↔1101100001001","layer":3},{"info":"≮⫘↔10011001000⫡⨏≮⫘↔11001100001=≮⫘↔10011110111001","layer":3},{"info":"≮⫘↔1101100001001↙≮⫘↔10011110111001=≮⫘↔-111011100101011","layer":2},{"info":"≮⫘↔-10000011100⪄≮⫘↔-111011100101011=≮⫘↔111110001011","layer":1},{"info":"⊙↵-≮⫘↔111110001011=≮⫘↔-1","layer":0}]}
{"id":894,"expression_no_base_symbol":"((⫛⫱⨽$4128$)≎⊠⪸$1401$⨓$1240$)∼((⫓⪴$3872$)⩨$2192$⪢$1126$)≎⊠⪸(↔(⪲⇎$1382$⨰$5134$))","expression":"((⫛⫱⨽≮⫘↔1000000100000)≎⊠⪸≮⫘↔10101111001⨓≮⫘↔10011011000)∼((⫓⪴≮⫘↔111100100000)⩨≮⫘↔100010010000⪢≮⫘↔10001100110)≎⊠⪸(↔(⪲⇎≮⫘↔10101100110⨰≮⫘↔1010000001110))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7965,"operation_count":11,"complexity_ratio":724.0909090909091,"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":4128,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1401,"base":2},"right_expr":{"type":"numeric_atoms","value":1240,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3872,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2192,"base":2},"right_expr":{"type":"numeric_atoms","value":1126,"base":2}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1382,"base":2},"right_expr":{"type":"numeric_atoms","value":5134,"base":2}}}}},"used_operators":["bJkvcejdHO","DyGG3AbaNP","DlLNRPXxWL","3ViojmjbAp","2DlMacCsIx","eLxqMNBOBk","dWAJyo7jo9","ruOEQAzv1W","XPYlsWDdGa","eewbuw0ToL"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4128","layer":4},{"info":"compute unary expreesion, input=4128, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1401","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=1401, right_input=1240, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1243","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1243, 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=3872","layer":4},{"info":"compute unary expreesion, input=3872, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=14992384","layer":3},{"info":"number node, value=2192","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=2192, right_input=1126, 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=14992384, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, 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":1},{"info":"number node, value=1382","layer":4},{"info":"number node, value=5134","layer":4},{"info":"compute binary expreesion, left_input=1382, right_input=5134, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3742","layer":3},{"info":"compute unary expreesion, input=-3742, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-7484","layer":2},{"info":"compute unary expreesion, input=-7484, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⫛⫱⨽≮⫘↔1000000100000)≎⊠⪸≮⫘↔10101111001⨓≮⫘↔10011011000)∼((⫓⪴≮⫘↔111100100000)⩨≮⫘↔100010010000⪢≮⫘↔10001100110)≎⊠⪸(↔(⪲⇎≮⫘↔10101100110⨰≮⫘↔1010000001110))=NaN","reverse_text":"NaN=((⫛⫱⨽≮⫘↔1000000100000)≎⊠⪸≮⫘↔10101111001⨓≮⫘↔10011011000)∼((⫓⪴≮⫘↔111100100000)⩨≮⫘↔100010010000⪢≮⫘↔10001100110)≎⊠⪸(↔(⪲⇎≮⫘↔10101100110⨰≮⫘↔1010000001110))","cot":[{"info":"⫛⫱⨽≮⫘↔1000000100000=≮⫘↔0","layer":3},{"info":"≮⫘↔10101111001⨓≮⫘↔10011011000=≮⫘↔-10011011011","layer":3},{"info":"≮⫘↔0≎⊠⪸≮⫘↔-10011011011=≮⫘↔1000011","layer":2},{"info":"⫓⪴≮⫘↔111100100000=≮⫘↔111001001100010000000000","layer":3},{"info":"≮⫘↔100010010000⪢≮⫘↔10001100110=NaN","layer":3},{"info":"≮⫘↔111001001100010000000000⩨NaN=NaN","layer":2},{"info":"≮⫘↔1000011∼NaN=NaN","layer":1},{"info":"≮⫘↔10101100110⨰≮⫘↔1010000001110=≮⫘↔-111010011110","layer":3},{"info":"⪲⇎≮⫘↔-111010011110=≮⫘↔-1110100111100","layer":2},{"info":"↔≮⫘↔-1110100111100=≮⫘↔-10000110","layer":1},{"info":"NaN≎⊠⪸≮⫘↔-10000110=NaN","layer":0}]}
{"id":895,"expression_no_base_symbol":"(($4477$⨳⩥⨓$1238$)⇋≉)⪛(≦∁$7145$⊴$2549$)↺(⋗⩬⋾(+⊝⨔(⩦⩻⨪$1004$)))","expression":"((≮⫘↔1000101111101⨳⩥⨓≮⫘↔10011010110)⇋≉)⪛(≦∁≮⫘↔1101111101001⊴≮⫘↔100111110101)↺(⋗⩬⋾(+⊝⨔(⩦⩻⨪≮⫘↔1111101100)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10719,"operation_count":9,"complexity_ratio":1191.0,"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":4477,"base":2},"right_expr":{"type":"numeric_atoms","value":1238,"base":2}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7145,"base":2},"right_expr":{"type":"numeric_atoms","value":2549,"base":2}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1004,"base":2}}}}},"used_operators":["7j4O788W3g","uFcxV4UQCh","XIabStNQrY","nCS4ZIUYfx","9ICcGScMcE","Nsiff2A1zJ","DpFCA1CohY","DhbWaqg5eL","2td37pGCOC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-1000111010110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4477","layer":4},{"info":"number node, value=1238","layer":4},{"info":"compute binary expreesion, left_input=4477, right_input=1238, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3239","layer":3},{"info":"compute unary expreesion, input=-3239, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-6576","layer":2},{"info":"number node, value=7145","layer":4},{"info":"number node, value=2549","layer":4},{"info":"compute binary expreesion, left_input=7145, right_input=2549, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6576, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1004","layer":4},{"info":"compute unary expreesion, input=1004, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1004","layer":3},{"info":"compute unary expreesion, input=1004, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4566","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4566, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-4566","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1000101111101⨳⩥⨓≮⫘↔10011010110)⇋≉)⪛(≦∁≮⫘↔1101111101001⊴≮⫘↔100111110101)↺(⋗⩬⋾(+⊝⨔(⩦⩻⨪≮⫘↔1111101100)))=≮⫘↔-1000111010110","reverse_text":"≮⫘↔-1000111010110=((≮⫘↔1000101111101⨳⩥⨓≮⫘↔10011010110)⇋≉)⪛(≦∁≮⫘↔1101111101001⊴≮⫘↔100111110101)↺(⋗⩬⋾(+⊝⨔(⩦⩻⨪≮⫘↔1111101100)))","cot":[{"info":"≮⫘↔1000101111101⨳⩥⨓≮⫘↔10011010110=≮⫘↔-110010100111","layer":3},{"info":"≮⫘↔-110010100111⇋≉=≮⫘↔-1100110110000","layer":2},{"info":"≮⫘↔1101111101001⊴≮⫘↔100111110101=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"≮⫘↔-1100110110000⪛NaN=NaN","layer":1},{"info":"⩦⩻⨪≮⫘↔1111101100=≮⫘↔1111101100","layer":3},{"info":"+⊝⨔≮⫘↔1111101100=≮⫘↔10111110010","layer":2},{"info":"⋗⩬⋾≮⫘↔10111110010=≮⫘↔-1000111010110","layer":1},{"info":"NaN↺≮⫘↔-1000111010110=≮⫘↔-1000111010110","layer":0}]}
{"id":896,"expression_no_base_symbol":"⋗⩬⋾($2823$≭$1726$⫥∨⫟($2584$⇼⇔∾$3892$)⪐)","expression":"⋗⩬⋾(≮⫘↔101100000111≭≮⫘↔11010111110⫥∨⫟(≮⫘↔101000011000⇼⇔∾≮⫘↔111100110100)⪐)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":162,"operation_count":5,"complexity_ratio":32.4,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2823,"base":2},"right_expr":{"type":"numeric_atoms","value":1726,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2584,"base":2},"right_expr":{"type":"numeric_atoms","value":3892,"base":2}}}}},"used_operators":["DpFCA1CohY","eH2TOUuTDT","KYD54nUTWz","rxpJgHHUmx","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=2823","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=2823, right_input=1726, 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=2584","layer":4},{"info":"number node, value=3892","layer":4},{"info":"compute binary expreesion, left_input=2584, right_input=3892, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1308","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1308, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"⋗⩬⋾(≮⫘↔101100000111≭≮⫘↔11010111110⫥∨⫟(≮⫘↔101000011000⇼⇔∾≮⫘↔111100110100)⪐)=NaN","reverse_text":"NaN=⋗⩬⋾(≮⫘↔101100000111≭≮⫘↔11010111110⫥∨⫟(≮⫘↔101000011000⇼⇔∾≮⫘↔111100110100)⪐)","cot":[{"info":"≮⫘↔101100000111≭≮⫘↔11010111110=NaN","layer":3},{"info":"≮⫘↔101000011000⇼⇔∾≮⫘↔111100110100=≮⫘↔10100011100","layer":3},{"info":"NaN⫥∨⫟≮⫘↔10100011100=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":897,"expression_no_base_symbol":"(($3481$⪒$1809$)⫸⊐($3735$↪⪝))⨎(($1193$*$3554$)⨎$2763$⪘⫢$2446$)⨽((∂$1091$⪛$4618$)⩨$1199$⨎$2761$⫸⊐$1248$⋝⋈⪟$3820$)","expression":"((≮⫘↔110110011001⪒≮⫘↔11100010001)⫸⊐(≮⫘↔111010010111↪⪝))⨎((≮⫘↔10010101001*≮⫘↔110111100010)⨎≮⫘↔101011001011⪘⫢≮⫘↔100110001110)⨽((∂≮⫘↔10001000011⪛≮⫘↔1001000001010)⩨≮⫘↔10010101111⨎≮⫘↔101011001001⫸⊐≮⫘↔10011100000⋝⋈⪟≮⫘↔111011101100)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7365,"operation_count":14,"complexity_ratio":526.0714285714286,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3481,"base":2},"right_expr":{"type":"numeric_atoms","value":1809,"base":2}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3735,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1193,"base":2},"right_expr":{"type":"numeric_atoms","value":3554,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2763,"base":2},"right_expr":{"type":"numeric_atoms","value":2446,"base":2}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1091,"base":2},"right_expr":{"type":"numeric_atoms","value":4618,"base":2}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1199,"base":2},"right_expr":{"type":"numeric_atoms","value":2761,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1248,"base":2},"right_expr":{"type":"numeric_atoms","value":3820,"base":2}}}}},"used_operators":["8HhzD0ZcuI","rJVOvQCfKK","mqXw5SEYmG","f6k1SAg4EE","l07mrZUIn9","9HNa5Wba9A","oacrs7FA3X","2DlMacCsIx","Uaa54Peajs","uFcxV4UQCh","2DDjHMKMc0"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3481","layer":4},{"info":"number node, value=1809","layer":4},{"info":"compute binary expreesion, left_input=3481, right_input=1809, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5290","layer":3},{"info":"number node, value=3735","layer":4},{"info":"compute unary expreesion, input=3735, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=228514770","layer":3},{"info":"compute binary expreesion, left_input=-5290, right_input=228514770, 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":"number node, value=1193","layer":4},{"info":"number node, value=3554","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=3554, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4239922","layer":3},{"info":"number node, value=2763","layer":4},{"info":"number node, value=2446","layer":4},{"info":"compute binary expreesion, left_input=2763, right_input=2446, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5402","layer":3},{"info":"compute binary expreesion, left_input=4239922, right_input=5402, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5402","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=5402, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5402","layer":1},{"info":"number node, value=1091","layer":4},{"info":"number node, value=4618","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=4618, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1091","layer":3},{"info":"compute unary expreesion, input=1091, 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=1199","layer":4},{"info":"number node, value=2761","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=2761, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2761","layer":3},{"info":"number node, value=1248","layer":4},{"info":"number node, value=3820","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=3820, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1248","layer":3},{"info":"compute binary expreesion, left_input=2761, right_input=1248, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4867","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4867, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5402, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110110011001⪒≮⫘↔11100010001)⫸⊐(≮⫘↔111010010111↪⪝))⨎((≮⫘↔10010101001*≮⫘↔110111100010)⨎≮⫘↔101011001011⪘⫢≮⫘↔100110001110)⨽((∂≮⫘↔10001000011⪛≮⫘↔1001000001010)⩨≮⫘↔10010101111⨎≮⫘↔101011001001⫸⊐≮⫘↔10011100000⋝⋈⪟≮⫘↔111011101100)=NaN","reverse_text":"NaN=((≮⫘↔110110011001⪒≮⫘↔11100010001)⫸⊐(≮⫘↔111010010111↪⪝))⨎((≮⫘↔10010101001*≮⫘↔110111100010)⨎≮⫘↔101011001011⪘⫢≮⫘↔100110001110)⨽((∂≮⫘↔10001000011⪛≮⫘↔1001000001010)⩨≮⫘↔10010101111⨎≮⫘↔101011001001⫸⊐≮⫘↔10011100000⋝⋈⪟≮⫘↔111011101100)","cot":[{"info":"≮⫘↔110110011001⪒≮⫘↔11100010001=≮⫘↔-1010010101010","layer":3},{"info":"≮⫘↔111010010111↪⪝=≮⫘↔1101100111101101101111010010","layer":3},{"info":"≮⫘↔-1010010101010⫸⊐≮⫘↔1101100111101101101111010010=≮⫘↔1111001000","layer":2},{"info":"≮⫘↔10010101001*≮⫘↔110111100010=≮⫘↔10000001011001000110010","layer":3},{"info":"≮⫘↔101011001011⪘⫢≮⫘↔100110001110=≮⫘↔1010100011010","layer":3},{"info":"≮⫘↔10000001011001000110010⨎≮⫘↔1010100011010=≮⫘↔1010100011010","layer":2},{"info":"≮⫘↔1111001000⨎≮⫘↔1010100011010=≮⫘↔1010100011010","layer":1},{"info":"≮⫘↔10001000011⪛≮⫘↔1001000001010=≮⫘↔10001000011","layer":3},{"info":"∂≮⫘↔10001000011=NaN","layer":2},{"info":"≮⫘↔10010101111⨎≮⫘↔101011001001=≮⫘↔101011001001","layer":3},{"info":"≮⫘↔10011100000⋝⋈⪟≮⫘↔111011101100=≮⫘↔10011100000","layer":3},{"info":"≮⫘↔101011001001⫸⊐≮⫘↔10011100000=≮⫘↔1001100000011","layer":2},{"info":"NaN⩨≮⫘↔1001100000011=NaN","layer":1},{"info":"≮⫘↔1010100011010⨽NaN=NaN","layer":0}]}
{"id":898,"expression_no_base_symbol":"(($4059$⨽$1923$)⨽($3159$/$3555$)↙(↣≠⋷$1085$)⋥≓≎($2637$⊭↱$3686$))⪮%⊝((($4546$⊉≛↸$1059$)⪘⫢($2492$⪒$2683$))⇷(∥⊫($2447$⊉≛↸$1510$)))","expression":"((≮⫘↔111111011011⨽≮⫘↔11110000011)⨽(≮⫘↔110001010111/≮⫘↔110111100011)↙(↣≠⋷≮⫘↔10000111101)⋥≓≎(≮⫘↔101001001101⊭↱≮⫘↔111001100110))⪮%⊝(((≮⫘↔1000111000010⊉≛↸≮⫘↔10000100011)⪘⫢(≮⫘↔100110111100⪒≮⫘↔101001111011))⇷(∥⊫(≮⫘↔100110001111⊉≛↸≮⫘↔10111100110)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":49435024,"operation_count":14,"complexity_ratio":3531073.1428571427,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4059,"base":2},"right_expr":{"type":"numeric_atoms","value":1923,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3159,"base":2},"right_expr":{"type":"numeric_atoms","value":3555,"base":2}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1085,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2637,"base":2},"right_expr":{"type":"numeric_atoms","value":3686,"base":2}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4546,"base":2},"right_expr":{"type":"numeric_atoms","value":1059,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2492,"base":2},"right_expr":{"type":"numeric_atoms","value":2683,"base":2}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2447,"base":2},"right_expr":{"type":"numeric_atoms","value":1510,"base":2}}}}},"used_operators":["IWmyXbctLI","yyfyN0ffXY","8HhzD0ZcuI","XhwjNDsVaA","Qy55tPpLXF","Asc51vEJeQ","COABgblf1C","mp7IySMOzn","oacrs7FA3X","DZ8iAZOCBD","f6k1SAg4EE","P8v4zCKN1o"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"-Inf","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4059","layer":4},{"info":"number node, value=1923","layer":4},{"info":"compute binary expreesion, left_input=4059, right_input=1923, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-49430898","layer":3},{"info":"number node, value=3159","layer":4},{"info":"number node, value=3555","layer":4},{"info":"compute binary expreesion, left_input=3159, right_input=3555, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-49430898, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"number node, value=1085","layer":4},{"info":"compute unary expreesion, input=1085, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2637","layer":4},{"info":"number node, value=3686","layer":4},{"info":"compute binary expreesion, left_input=2637, right_input=3686, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2103","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2103, 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=-inf, right_input=67, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-inf","layer":1},{"info":"number node, value=4546","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=4546, right_input=1059, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9092","layer":3},{"info":"number node, value=2492","layer":4},{"info":"number node, value=2683","layer":4},{"info":"compute binary expreesion, left_input=2492, right_input=2683, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5175","layer":3},{"info":"compute binary expreesion, left_input=9092, right_input=-5175, 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":"number node, value=2447","layer":4},{"info":"number node, value=1510","layer":4},{"info":"compute binary expreesion, left_input=2447, right_input=1510, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4894","layer":3},{"info":"compute unary expreesion, input=4894, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5762","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=5762, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11524","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=11524, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-inf","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111111011011⨽≮⫘↔11110000011)⨽(≮⫘↔110001010111/≮⫘↔110111100011)↙(↣≠⋷≮⫘↔10000111101)⋥≓≎(≮⫘↔101001001101⊭↱≮⫘↔111001100110))⪮%⊝(((≮⫘↔1000111000010⊉≛↸≮⫘↔10000100011)⪘⫢(≮⫘↔100110111100⪒≮⫘↔101001111011))⇷(∥⊫(≮⫘↔100110001111⊉≛↸≮⫘↔10111100110)))=-Inf","reverse_text":"-Inf=((≮⫘↔111111011011⨽≮⫘↔11110000011)⨽(≮⫘↔110001010111/≮⫘↔110111100011)↙(↣≠⋷≮⫘↔10000111101)⋥≓≎(≮⫘↔101001001101⊭↱≮⫘↔111001100110))⪮%⊝(((≮⫘↔1000111000010⊉≛↸≮⫘↔10000100011)⪘⫢(≮⫘↔100110111100⪒≮⫘↔101001111011))⇷(∥⊫(≮⫘↔100110001111⊉≛↸≮⫘↔10111100110)))","cot":[{"info":"≮⫘↔111111011011⨽≮⫘↔11110000011=≮⫘↔-10111100100100000101110010","layer":3},{"info":"≮⫘↔110001010111/≮⫘↔110111100011=≮⫘↔0","layer":3},{"info":"≮⫘↔-10111100100100000101110010⨽≮⫘↔0=-Inf","layer":2},{"info":"↣≠⋷≮⫘↔10000111101=NaN","layer":3},{"info":"≮⫘↔101001001101⊭↱≮⫘↔111001100110=≮⫘↔100000110111","layer":3},{"info":"NaN⋥≓≎≮⫘↔100000110111=≮⫘↔1000011","layer":2},{"info":"-Inf↙≮⫘↔1000011=-Inf","layer":1},{"info":"≮⫘↔1000111000010⊉≛↸≮⫘↔10000100011=≮⫘↔10001110000100","layer":3},{"info":"≮⫘↔100110111100⪒≮⫘↔101001111011=≮⫘↔-1010000110111","layer":3},{"info":"≮⫘↔10001110000100⪘⫢≮⫘↔-1010000110111=≮⫘↔0","layer":2},{"info":"≮⫘↔100110001111⊉≛↸≮⫘↔10111100110=≮⫘↔1001100011110","layer":3},{"info":"∥⊫≮⫘↔1001100011110=≮⫘↔1011010000010","layer":2},{"info":"≮⫘↔0⇷≮⫘↔1011010000010=≮⫘↔10110100000100","layer":1},{"info":"-Inf⪮%⊝≮⫘↔10110100000100=-Inf","layer":0}]}
{"id":899,"expression_no_base_symbol":"((+⊝⨔$1056$)⪘⫢($3935$⋳⪒$1795$)%(↣≠⋷$1228$)⨎($2131$⊭∹↮))⊴(-($1000$∸)≎⊠⪸$4817$⪘⫢$2009$)","expression":"((+⊝⨔≮⫘↔10000100000)⪘⫢(≮⫘↔111101011111⋳⪒≮⫘↔11100000011)%(↣≠⋷≮⫘↔10011001100)⨎(≮⫘↔100001010011⊭∹↮))⊴(-(≮⫘↔1111101000∸)≎⊠⪸≮⫘↔1001011010001⪘⫢≮⫘↔11111011001)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":45830,"operation_count":12,"complexity_ratio":3819.1666666666665,"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":1056,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3935,"base":2},"right_expr":{"type":"numeric_atoms","value":1795,"base":2}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1228,"base":2}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2131,"base":2}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1000,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4817,"base":2},"right_expr":{"type":"numeric_atoms","value":2009,"base":2}}}}},"used_operators":["Nsiff2A1zJ","k8jYdgA6NY","oacrs7FA3X","DhbWaqg5eL","12rbrZMWeM","rJVOvQCfKK","Asc51vEJeQ","xNBdhnnwKq","t8gj7n24qd","bJkvcejdHO","o20kRiQErp"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1056","layer":4},{"info":"compute unary expreesion, input=1056, 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=3935","layer":4},{"info":"number node, value=1795","layer":4},{"info":"compute binary expreesion, left_input=3935, right_input=1795, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5788","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=5788, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2920","layer":2},{"info":"number node, value=1228","layer":4},{"info":"compute unary expreesion, input=1228, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2131","layer":4},{"info":"compute unary expreesion, input=2131, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4262","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4262, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4262","layer":2},{"info":"compute binary expreesion, left_input=2920, right_input=4262, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2920","layer":1},{"info":"number node, value=1000","layer":4},{"info":"compute unary expreesion, input=1000, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=4817","layer":4},{"info":"number node, value=2009","layer":4},{"info":"compute binary expreesion, left_input=4817, right_input=2009, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9510","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=9510, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=45370","layer":2},{"info":"compute unary expreesion, input=45370, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-45370","layer":1},{"info":"compute binary expreesion, left_input=2920, right_input=-45370, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((+⊝⨔≮⫘↔10000100000)⪘⫢(≮⫘↔111101011111⋳⪒≮⫘↔11100000011)%(↣≠⋷≮⫘↔10011001100)⨎(≮⫘↔100001010011⊭∹↮))⊴(-(≮⫘↔1111101000∸)≎⊠⪸≮⫘↔1001011010001⪘⫢≮⫘↔11111011001)=NaN","reverse_text":"NaN=((+⊝⨔≮⫘↔10000100000)⪘⫢(≮⫘↔111101011111⋳⪒≮⫘↔11100000011)%(↣≠⋷≮⫘↔10011001100)⨎(≮⫘↔100001010011⊭∹↮))⊴(-(≮⫘↔1111101000∸)≎⊠⪸≮⫘↔1001011010001⪘⫢≮⫘↔11111011001)","cot":[{"info":"+⊝⨔≮⫘↔10000100000=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔111101011111⋳⪒≮⫘↔11100000011=≮⫘↔1011010011100","layer":3},{"info":"≮⫘↔10111110010⪘⫢≮⫘↔1011010011100=≮⫘↔101101101000","layer":2},{"info":"↣≠⋷≮⫘↔10011001100=NaN","layer":3},{"info":"≮⫘↔100001010011⊭∹↮=≮⫘↔1000010100110","layer":3},{"info":"NaN⨎≮⫘↔1000010100110=≮⫘↔1000010100110","layer":2},{"info":"≮⫘↔101101101000%≮⫘↔1000010100110=≮⫘↔101101101000","layer":1},{"info":"≮⫘↔1111101000∸=≮⫘↔10110001","layer":3},{"info":"≮⫘↔1001011010001⪘⫢≮⫘↔11111011001=≮⫘↔10010100100110","layer":3},{"info":"≮⫘↔10110001≎⊠⪸≮⫘↔10010100100110=≮⫘↔1011000100111010","layer":2},{"info":"-≮⫘↔1011000100111010=≮⫘↔-1011000100111010","layer":1},{"info":"≮⫘↔101101101000⊴≮⫘↔-1011000100111010=NaN","layer":0}]}
{"id":900,"expression_no_base_symbol":"(($7726$⨸⪁$3265$)↺($3114$⫡⨏$3326$)%(⊥$1637$⨟⋌⩍$1762$))⇷((+⊝⨔$2232$)⋓$1110$⪘⫢$3152$⫥∨⫟(⫓⪴$6019$)⨟⋌⩍($1440$⨁⊸⫻))","expression":"((≮⫘↔1111000101110⨸⪁≮⫘↔110011000001)↺(≮⫘↔110000101010⫡⨏≮⫘↔110011111110)%(⊥≮⫘↔11001100101⨟⋌⩍≮⫘↔11011100010))⇷((+⊝⨔≮⫘↔100010111000)⋓≮⫘↔10001010110⪘⫢≮⫘↔110001010000⫥∨⫟(⫓⪴≮⫘↔1011110000011)⨟⋌⩍(≮⫘↔10110100000⨁⊸⫻))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6265,"operation_count":14,"complexity_ratio":447.5,"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":7726,"base":2},"right_expr":{"type":"numeric_atoms","value":3265,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3114,"base":2},"right_expr":{"type":"numeric_atoms","value":3326,"base":2}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1637,"base":2},"right_expr":{"type":"numeric_atoms","value":1762,"base":2}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2232,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1110,"base":2},"right_expr":{"type":"numeric_atoms","value":3152,"base":2}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":6019,"base":2}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1440,"base":2}}}}},"used_operators":["mp7IySMOzn","k8jYdgA6NY","7j4O788W3g","g55IO6H4Gj","QMFrweE19q","Q3PJZHRvZv","rGHVDoGpnC","KYD54nUTWz","T2fj7uvVaJ","DhbWaqg5eL","oacrs7FA3X","eLxqMNBOBk","glklzrTFfD"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","Tcnh7f0tEr","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7726","layer":4},{"info":"number node, value=3265","layer":4},{"info":"compute binary expreesion, left_input=7726, right_input=3265, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=21982","layer":3},{"info":"number node, value=3114","layer":4},{"info":"number node, value=3326","layer":4},{"info":"compute binary expreesion, left_input=3114, right_input=3326, 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=23005","layer":3},{"info":"compute binary expreesion, left_input=21982, right_input=23005, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=23005","layer":2},{"info":"number node, value=1637","layer":4},{"info":"number node, value=1762","layer":4},{"info":"compute binary expreesion, left_input=1637, right_input=1762, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=23005, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2232","layer":4},{"info":"compute unary expreesion, input=2232, 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=1110","layer":4},{"info":"number node, value=3152","layer":4},{"info":"compute binary expreesion, left_input=1110, right_input=3152, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2096","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=2096, 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=6019","layer":4},{"info":"compute unary expreesion, input=6019, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=36228361","layer":3},{"info":"number node, value=1440","layer":4},{"info":"compute unary expreesion, input=1440, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1440","layer":3},{"info":"compute binary expreesion, left_input=36228361, right_input=1440, 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=0, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1111000101110⨸⪁≮⫘↔110011000001)↺(≮⫘↔110000101010⫡⨏≮⫘↔110011111110)%(⊥≮⫘↔11001100101⨟⋌⩍≮⫘↔11011100010))⇷((+⊝⨔≮⫘↔100010111000)⋓≮⫘↔10001010110⪘⫢≮⫘↔110001010000⫥∨⫟(⫓⪴≮⫘↔1011110000011)⨟⋌⩍(≮⫘↔10110100000⨁⊸⫻))=NaN","reverse_text":"NaN=((≮⫘↔1111000101110⨸⪁≮⫘↔110011000001)↺(≮⫘↔110000101010⫡⨏≮⫘↔110011111110)%(⊥≮⫘↔11001100101⨟⋌⩍≮⫘↔11011100010))⇷((+⊝⨔≮⫘↔100010111000)⋓≮⫘↔10001010110⪘⫢≮⫘↔110001010000⫥∨⫟(⫓⪴≮⫘↔1011110000011)⨟⋌⩍(≮⫘↔10110100000⨁⊸⫻))","cot":[{"info":"≮⫘↔1111000101110⨸⪁≮⫘↔110011000001=≮⫘↔101010111011110","layer":3},{"info":"≮⫘↔110000101010⫡⨏≮⫘↔110011111110=≮⫘↔101100111011101","layer":3},{"info":"≮⫘↔101010111011110↺≮⫘↔101100111011101=≮⫘↔101100111011101","layer":2},{"info":"≮⫘↔11001100101⨟⋌⩍≮⫘↔11011100010=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"≮⫘↔101100111011101%NaN=NaN","layer":1},{"info":"+⊝⨔≮⫘↔100010111000=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔10001010110⪘⫢≮⫘↔110001010000=≮⫘↔100000110000","layer":3},{"info":"≮⫘↔10111110010⋓≮⫘↔100000110000=≮⫘↔0","layer":2},{"info":"⫓⪴≮⫘↔1011110000011=≮⫘↔10001010001100110100001001","layer":3},{"info":"≮⫘↔10110100000⨁⊸⫻=≮⫘↔10110100000","layer":3},{"info":"≮⫘↔10001010001100110100001001⨟⋌⩍≮⫘↔10110100000=NaN","layer":2},{"info":"≮⫘↔0⫥∨⫟NaN=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":901,"expression_no_base_symbol":"($4811$⨸⪁$1377$⪨≂$3621$⇷$2280$)⩷∴($8945$≣⋋)∑⇟⊟$1311$∼$2415$⩷∴($2428$⪘⫢$2056$⩚⊴⇥$8520$⨰$7175$⩚⊴⇥($6211$*$3647$⨵⪆($2546$⊠≄⫣)))","expression":"(≮⫘↔1001011001011⨸⪁≮⫘↔10101100001⪨≂≮⫘↔111000100101⇷≮⫘↔100011101000)⩷∴(≮⫘↔10001011110001≣⋋)∑⇟⊟≮⫘↔10100011111∼≮⫘↔100101101111⩷∴(≮⫘↔100101111100⪘⫢≮⫘↔100000001000⩚⊴⇥≮⫘↔10000101001000⨰≮⫘↔1110000000111⩚⊴⇥(≮⫘↔1100001000011*≮⫘↔111000111111⨵⪆(≮⫘↔100111110010⊠≄⫣)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":54940,"operation_count":15,"complexity_ratio":3662.6666666666665,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4811,"base":2},"right_expr":{"type":"numeric_atoms","value":1377,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3621,"base":2},"right_expr":{"type":"numeric_atoms","value":2280,"base":2}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":8945,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1311,"base":2},"right_expr":{"type":"numeric_atoms","value":2415,"base":2}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2428,"base":2},"right_expr":{"type":"numeric_atoms","value":2056,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":8520,"base":2},"right_expr":{"type":"numeric_atoms","value":7175,"base":2}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6211,"base":2},"right_expr":{"type":"numeric_atoms","value":3647,"base":2}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2546,"base":2}}}}},"used_operators":["9FxExcQeMw","sdazOOVcIp","g55IO6H4Gj","mp7IySMOzn","U7g4x0WXJJ","Tcnh7f0tEr","DyGG3AbaNP","NTOWxs364D","oacrs7FA3X","eewbuw0ToL","2DQ55sFlQl","9HNa5Wba9A","DIvbN7qnHd"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4811","layer":4},{"info":"number node, value=1377","layer":4},{"info":"compute binary expreesion, left_input=4811, right_input=1377, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12376","layer":3},{"info":"number node, value=3621","layer":4},{"info":"number node, value=2280","layer":4},{"info":"compute binary expreesion, left_input=3621, right_input=2280, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4560","layer":3},{"info":"compute binary expreesion, left_input=12376, right_input=4560, 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=15734","layer":2},{"info":"number node, value=8945","layer":4},{"info":"compute unary expreesion, input=8945, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"number node, value=1311","layer":4},{"info":"number node, value=2415","layer":4},{"info":"compute binary expreesion, left_input=1311, right_input=2415, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=15734, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=2428","layer":4},{"info":"number node, value=2056","layer":4},{"info":"compute binary expreesion, left_input=2428, right_input=2056, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4732","layer":3},{"info":"number node, value=8520","layer":4},{"info":"number node, value=7175","layer":4},{"info":"compute binary expreesion, left_input=8520, right_input=7175, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1355","layer":3},{"info":"compute binary expreesion, left_input=4732, right_input=1355, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6208","layer":2},{"info":"number node, value=6211","layer":4},{"info":"number node, value=3647","layer":4},{"info":"compute binary expreesion, left_input=6211, right_input=3647, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=22651517","layer":3},{"info":"number node, value=2546","layer":4},{"info":"compute unary expreesion, input=2546, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=22651517, right_input=0, 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=-6208, right_input=160, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=5927","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5927, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1001011001011⨸⪁≮⫘↔10101100001⪨≂≮⫘↔111000100101⇷≮⫘↔100011101000)⩷∴(≮⫘↔10001011110001≣⋋)∑⇟⊟≮⫘↔10100011111∼≮⫘↔100101101111⩷∴(≮⫘↔100101111100⪘⫢≮⫘↔100000001000⩚⊴⇥≮⫘↔10000101001000⨰≮⫘↔1110000000111⩚⊴⇥(≮⫘↔1100001000011*≮⫘↔111000111111⨵⪆(≮⫘↔100111110010⊠≄⫣)))=NaN","reverse_text":"NaN=(≮⫘↔1001011001011⨸⪁≮⫘↔10101100001⪨≂≮⫘↔111000100101⇷≮⫘↔100011101000)⩷∴(≮⫘↔10001011110001≣⋋)∑⇟⊟≮⫘↔10100011111∼≮⫘↔100101101111⩷∴(≮⫘↔100101111100⪘⫢≮⫘↔100000001000⩚⊴⇥≮⫘↔10000101001000⨰≮⫘↔1110000000111⩚⊴⇥(≮⫘↔1100001000011*≮⫘↔111000111111⨵⪆(≮⫘↔100111110010⊠≄⫣)))","cot":[{"info":"≮⫘↔1001011001011⨸⪁≮⫘↔10101100001=≮⫘↔11000001011000","layer":3},{"info":"≮⫘↔111000100101⇷≮⫘↔100011101000=≮⫘↔1000111010000","layer":3},{"info":"≮⫘↔11000001011000⪨≂≮⫘↔1000111010000=≮⫘↔11110101110110","layer":2},{"info":"≮⫘↔10001011110001≣⋋=≮⫘↔0","layer":3},{"info":"≮⫘↔10100011111∼≮⫘↔100101101111=NaN","layer":3},{"info":"≮⫘↔0∑⇟⊟NaN=NaN","layer":2},{"info":"≮⫘↔11110101110110⩷∴NaN=NaN","layer":1},{"info":"≮⫘↔100101111100⪘⫢≮⫘↔100000001000=≮⫘↔1001001111100","layer":3},{"info":"≮⫘↔10000101001000⨰≮⫘↔1110000000111=≮⫘↔10101001011","layer":3},{"info":"≮⫘↔1001001111100⩚⊴⇥≮⫘↔10101001011=≮⫘↔-1100001000000","layer":2},{"info":"≮⫘↔1100001000011*≮⫘↔111000111111=≮⫘↔1010110011010001001111101","layer":3},{"info":"≮⫘↔100111110010⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔1010110011010001001111101⨵⪆≮⫘↔0=≮⫘↔10100000","layer":2},{"info":"≮⫘↔-1100001000000⩚⊴⇥≮⫘↔10100000=≮⫘↔1011100100111","layer":1},{"info":"NaN⩷∴≮⫘↔1011100100111=NaN","layer":0}]}
{"id":902,"expression_no_base_symbol":"∂((≦∁($4593$⨵⪆$2785$))≧⫂∧($1016$⨸⪁$1408$-$4700$⪢$2199$))","expression":"∂((≦∁(≮⫘↔1000111110001⨵⪆≮⫘↔101011100001))≧⫂∧(≮⫘↔1111111000⨸⪁≮⫘↔10110000000-≮⫘↔1001001011100⪢≮⫘↔100010010111))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2680,"operation_count":7,"complexity_ratio":382.85714285714283,"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":4593,"base":2},"right_expr":{"type":"numeric_atoms","value":2785,"base":2}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1016,"base":2},"right_expr":{"type":"numeric_atoms","value":1408,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4700,"base":2},"right_expr":{"type":"numeric_atoms","value":2199,"base":2}}}}},"used_operators":["Uaa54Peajs","Ph9nP6C5qx","9ICcGScMcE","2DQ55sFlQl","rysDP5nf3Z","g55IO6H4Gj","dWAJyo7jo9"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4593","layer":4},{"info":"number node, value=2785","layer":4},{"info":"compute binary expreesion, left_input=4593, right_input=2785, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-2240","layer":2},{"info":"number node, value=1016","layer":4},{"info":"number node, value=1408","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=1408, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4848","layer":3},{"info":"number node, value=4700","layer":4},{"info":"number node, value=2199","layer":4},{"info":"compute binary expreesion, left_input=4700, right_input=2199, 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=4848, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2240, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"∂((≦∁(≮⫘↔1000111110001⨵⪆≮⫘↔101011100001))≧⫂∧(≮⫘↔1111111000⨸⪁≮⫘↔10110000000-≮⫘↔1001001011100⪢≮⫘↔100010010111))=NaN","reverse_text":"NaN=∂((≦∁(≮⫘↔1000111110001⨵⪆≮⫘↔101011100001))≧⫂∧(≮⫘↔1111111000⨸⪁≮⫘↔10110000000-≮⫘↔1001001011100⪢≮⫘↔100010010111))","cot":[{"info":"≮⫘↔1000111110001⨵⪆≮⫘↔101011100001=≮⫘↔10100000","layer":3},{"info":"≦∁≮⫘↔10100000=≮⫘↔-100011000000","layer":2},{"info":"≮⫘↔1111111000⨸⪁≮⫘↔10110000000=≮⫘↔1001011110000","layer":3},{"info":"≮⫘↔1001001011100⪢≮⫘↔100010010111=NaN","layer":3},{"info":"≮⫘↔1001011110000-NaN=NaN","layer":2},{"info":"≮⫘↔-100011000000≧⫂∧NaN=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":903,"expression_no_base_symbol":"+⊝⨔(-($5269$∲⫓$1754$)⇼⇔∾$3259$≭$4314$)","expression":"+⊝⨔(-(≮⫘↔1010010010101∲⫓≮⫘↔11011011010)⇼⇔∾≮⫘↔110010111011≭≮⫘↔1000011011010)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":26,"operation_count":5,"complexity_ratio":5.2,"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":5269,"base":2},"right_expr":{"type":"numeric_atoms","value":1754,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3259,"base":2},"right_expr":{"type":"numeric_atoms","value":4314,"base":2}}}}},"used_operators":["DhbWaqg5eL","t8gj7n24qd","tifHPKVTfV","i8ToyICDmI","rxpJgHHUmx"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"≮⫘↔10111110010","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=5269","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=5269, right_input=1754, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3259","layer":4},{"info":"number node, value=4314","layer":4},{"info":"compute binary expreesion, left_input=3259, right_input=4314, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', 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":2,"result_base":2,"text":"+⊝⨔(-(≮⫘↔1010010010101∲⫓≮⫘↔11011011010)⇼⇔∾≮⫘↔110010111011≭≮⫘↔1000011011010)=≮⫘↔10111110010","reverse_text":"≮⫘↔10111110010=+⊝⨔(-(≮⫘↔1010010010101∲⫓≮⫘↔11011011010)⇼⇔∾≮⫘↔110010111011≭≮⫘↔1000011011010)","cot":[{"info":"≮⫘↔1010010010101∲⫓≮⫘↔11011011010=≮⫘↔0","layer":3},{"info":"≮⫘↔110010111011≭≮⫘↔1000011011010=NaN","layer":3},{"info":"≮⫘↔0⇼⇔∾NaN=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"+⊝⨔NaN=≮⫘↔10111110010","layer":0}]}
{"id":904,"expression_no_base_symbol":"($2569$≎⊠⪸$1918$)⪘⫢($1004$+⇶⊼$4529$)+(↣≠⋷$1452$)≎⊠⪸($1165$⨳⩥⨓$6067$)⨵⪆($1564$⨳⩥⨓$3199$↺($2118$⪄$2363$)⨵⪆$3152$⇷$1337$+⇶⊼($3212$⇋≉))","expression":"(≮⫘↔101000001001≎⊠⪸≮⫘↔11101111110)⪘⫢(≮⫘↔1111101100+⇶⊼≮⫘↔1000110110001)+(↣≠⋷≮⫘↔10110101100)≎⊠⪸(≮⫘↔10010001101⨳⩥⨓≮⫘↔1011110110011)⨵⪆(≮⫘↔11000011100⨳⩥⨓≮⫘↔110001111111↺(≮⫘↔100001000110⪄≮⫘↔100100111011)⨵⪆≮⫘↔110001010000⇷≮⫘↔10100111001+⇶⊼(≮⫘↔110010001100⇋≉))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":44539,"operation_count":15,"complexity_ratio":2969.266666666667,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2569,"base":2},"right_expr":{"type":"numeric_atoms","value":1918,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1004,"base":2},"right_expr":{"type":"numeric_atoms","value":4529,"base":2}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1452,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1165,"base":2},"right_expr":{"type":"numeric_atoms","value":6067,"base":2}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1564,"base":2},"right_expr":{"type":"numeric_atoms","value":3199,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2118,"base":2},"right_expr":{"type":"numeric_atoms","value":2363,"base":2}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3152,"base":2},"right_expr":{"type":"numeric_atoms","value":1337,"base":2}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3212,"base":2}}}}},"used_operators":["2DQ55sFlQl","W4YGzv6Whe","oacrs7FA3X","bJkvcejdHO","TpPTUOHfaN","Asc51vEJeQ","nCS4ZIUYfx","7j4O788W3g","SUmda5xLS4","mp7IySMOzn","XIabStNQrY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔10100000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2569","layer":4},{"info":"number node, value=1918","layer":4},{"info":"compute binary expreesion, left_input=2569, right_input=1918, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=664898","layer":3},{"info":"number node, value=1004","layer":4},{"info":"number node, value=4529","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=4529, 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=664898, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=1452","layer":4},{"info":"compute unary expreesion, input=1452, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1165","layer":4},{"info":"number node, value=6067","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=6067, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4902","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4902, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1564","layer":4},{"info":"number node, value=3199","layer":4},{"info":"compute binary expreesion, left_input=1564, right_input=3199, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1635","layer":3},{"info":"number node, value=2118","layer":4},{"info":"number node, value=2363","layer":4},{"info":"compute binary expreesion, left_input=2118, right_input=2363, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-319005","layer":3},{"info":"compute binary expreesion, left_input=1635, right_input=-319005, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-319005","layer":2},{"info":"number node, value=3152","layer":4},{"info":"number node, value=1337","layer":4},{"info":"compute binary expreesion, left_input=3152, right_input=1337, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2674","layer":3},{"info":"number node, value=3212","layer":4},{"info":"compute unary expreesion, input=3212, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=6326","layer":3},{"info":"compute binary expreesion, left_input=2674, right_input=6326, 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=-319005, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101000001001≎⊠⪸≮⫘↔11101111110)⪘⫢(≮⫘↔1111101100+⇶⊼≮⫘↔1000110110001)+(↣≠⋷≮⫘↔10110101100)≎⊠⪸(≮⫘↔10010001101⨳⩥⨓≮⫘↔1011110110011)⨵⪆(≮⫘↔11000011100⨳⩥⨓≮⫘↔110001111111↺(≮⫘↔100001000110⪄≮⫘↔100100111011)⨵⪆≮⫘↔110001010000⇷≮⫘↔10100111001+⇶⊼(≮⫘↔110010001100⇋≉))=≮⫘↔10100000","reverse_text":"≮⫘↔10100000=(≮⫘↔101000001001≎⊠⪸≮⫘↔11101111110)⪘⫢(≮⫘↔1111101100+⇶⊼≮⫘↔1000110110001)+(↣≠⋷≮⫘↔10110101100)≎⊠⪸(≮⫘↔10010001101⨳⩥⨓≮⫘↔1011110110011)⨵⪆(≮⫘↔11000011100⨳⩥⨓≮⫘↔110001111111↺(≮⫘↔100001000110⪄≮⫘↔100100111011)⨵⪆≮⫘↔110001010000⇷≮⫘↔10100111001+⇶⊼(≮⫘↔110010001100⇋≉))","cot":[{"info":"≮⫘↔101000001001≎⊠⪸≮⫘↔11101111110=≮⫘↔10100010010101000010","layer":3},{"info":"≮⫘↔1111101100+⇶⊼≮⫘↔1000110110001=NaN","layer":3},{"info":"≮⫘↔10100010010101000010⪘⫢NaN=NaN","layer":2},{"info":"↣≠⋷≮⫘↔10110101100=NaN","layer":3},{"info":"≮⫘↔10010001101⨳⩥⨓≮⫘↔1011110110011=≮⫘↔1001100100110","layer":3},{"info":"NaN≎⊠⪸≮⫘↔1001100100110=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"≮⫘↔11000011100⨳⩥⨓≮⫘↔110001111111=≮⫘↔11001100011","layer":3},{"info":"≮⫘↔100001000110⪄≮⫘↔100100111011=≮⫘↔-1001101111000011101","layer":3},{"info":"≮⫘↔11001100011↺≮⫘↔-1001101111000011101=≮⫘↔-1001101111000011101","layer":2},{"info":"≮⫘↔110001010000⇷≮⫘↔10100111001=≮⫘↔101001110010","layer":3},{"info":"≮⫘↔110010001100⇋≉=≮⫘↔1100010110110","layer":3},{"info":"≮⫘↔101001110010+⇶⊼≮⫘↔1100010110110=NaN","layer":2},{"info":"≮⫘↔-1001101111000011101⨵⪆NaN=≮⫘↔10100000","layer":1},{"info":"NaN⨵⪆≮⫘↔10100000=≮⫘↔10100000","layer":0}]}
{"id":905,"expression_no_base_symbol":"($3520$⇷$1958$⨎(⊙↵-$7179$))⨟⋌⩍(≦∁$9077$≹⇙⪍$2953$)≧⫂∧(∥⊫($3502$⋥≓≎$2293$⪒$1536$⨸⪁$1939$))","expression":"(≮⫘↔110111000000⇷≮⫘↔11110100110⨎(⊙↵-≮⫘↔1110000001011))⨟⋌⩍(≦∁≮⫘↔10001101110101≹⇙⪍≮⫘↔101110001001)≧⫂∧(∥⊫(≮⫘↔110110101110⋥≓≎≮⫘↔100011110101⪒≮⫘↔11000000000⨸⪁≮⫘↔11110010011))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":56529,"operation_count":11,"complexity_ratio":5139.0,"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":3520,"base":2},"right_expr":{"type":"numeric_atoms","value":1958,"base":2}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":7179,"base":2}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":9077,"base":2},"right_expr":{"type":"numeric_atoms","value":2953,"base":2}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3502,"base":2},"right_expr":{"type":"numeric_atoms","value":2293,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1536,"base":2},"right_expr":{"type":"numeric_atoms","value":1939,"base":2}}}}},"used_operators":["Ph9nP6C5qx","rGHVDoGpnC","rJVOvQCfKK","mp7IySMOzn","oWn0xqSxBt","9ICcGScMcE","AHs5Up7iyr","P8v4zCKN1o","f6k1SAg4EE","Qy55tPpLXF","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"≮⫘↔-1000010000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3520","layer":4},{"info":"number node, value=1958","layer":4},{"info":"compute binary expreesion, left_input=3520, right_input=1958, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3916","layer":3},{"info":"number node, value=7179","layer":4},{"info":"compute unary expreesion, input=7179, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=3916, right_input=-1, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-1","layer":2},{"info":"number node, value=9077","layer":4},{"info":"number node, value=2953","layer":4},{"info":"compute binary expreesion, left_input=9077, right_input=2953, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 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=-1, 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":"number node, value=3502","layer":4},{"info":"number node, value=2293","layer":4},{"info":"compute binary expreesion, left_input=3502, right_input=2293, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1117","layer":3},{"info":"number node, value=1536","layer":4},{"info":"number node, value=1939","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=1939, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6950","layer":3},{"info":"compute binary expreesion, left_input=1117, right_input=6950, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8067","layer":2},{"info":"compute unary expreesion, input=-8067, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-528","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110111000000⇷≮⫘↔11110100110⨎(⊙↵-≮⫘↔1110000001011))⨟⋌⩍(≦∁≮⫘↔10001101110101≹⇙⪍≮⫘↔101110001001)≧⫂∧(∥⊫(≮⫘↔110110101110⋥≓≎≮⫘↔100011110101⪒≮⫘↔11000000000⨸⪁≮⫘↔11110010011))=≮⫘↔-1000010000","reverse_text":"≮⫘↔-1000010000=(≮⫘↔110111000000⇷≮⫘↔11110100110⨎(⊙↵-≮⫘↔1110000001011))⨟⋌⩍(≦∁≮⫘↔10001101110101≹⇙⪍≮⫘↔101110001001)≧⫂∧(∥⊫(≮⫘↔110110101110⋥≓≎≮⫘↔100011110101⪒≮⫘↔11000000000⨸⪁≮⫘↔11110010011))","cot":[{"info":"≮⫘↔110111000000⇷≮⫘↔11110100110=≮⫘↔111101001100","layer":3},{"info":"⊙↵-≮⫘↔1110000001011=≮⫘↔-1","layer":3},{"info":"≮⫘↔111101001100⨎≮⫘↔-1=≮⫘↔-1","layer":2},{"info":"≮⫘↔10001101110101≹⇙⪍≮⫘↔101110001001=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"≮⫘↔-1⨟⋌⩍NaN=NaN","layer":1},{"info":"≮⫘↔110110101110⋥≓≎≮⫘↔100011110101=≮⫘↔10001011101","layer":3},{"info":"≮⫘↔11000000000⨸⪁≮⫘↔11110010011=≮⫘↔1101100100110","layer":3},{"info":"≮⫘↔10001011101⪒≮⫘↔1101100100110=≮⫘↔-1111110000011","layer":2},{"info":"∥⊫≮⫘↔-1111110000011=≮⫘↔-110111","layer":1},{"info":"NaN≧⫂∧≮⫘↔-110111=≮⫘↔-1000010000","layer":0}]}
{"id":906,"expression_no_base_symbol":"⊙↵-((($3620$⨎$3749$)⊦⊿)⨰($1385$≎⊠⪸$1788$%$3962$⨪↰⇹$1902$))","expression":"⊙↵-(((≮⫘↔111000100100⨎≮⫘↔111010100101)⊦⊿)⨰(≮⫘↔10101101001≎⊠⪸≮⫘↔11011111100%≮⫘↔111101111010⨪↰⇹≮⫘↔11101101110))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":17345,"operation_count":7,"complexity_ratio":2477.8571428571427,"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":3620,"base":2},"right_expr":{"type":"numeric_atoms","value":3749,"base":2}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1385,"base":2},"right_expr":{"type":"numeric_atoms","value":1788,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3962,"base":2},"right_expr":{"type":"numeric_atoms","value":1902,"base":2}}}}},"used_operators":["oWn0xqSxBt","eewbuw0ToL","14qkJME0vr","rJVOvQCfKK","k8jYdgA6NY","bJkvcejdHO","tmPS8pqC7x"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rJVOvQCfKK"],"result":"≮⫘↔11000100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3620","layer":4},{"info":"number node, value=3749","layer":4},{"info":"compute binary expreesion, left_input=3620, right_input=3749, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3749","layer":3},{"info":"compute unary expreesion, input=3749, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-11326","layer":2},{"info":"number node, value=1385","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=1788, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=358242","layer":3},{"info":"number node, value=3962","layer":4},{"info":"number node, value=1902","layer":4},{"info":"compute binary expreesion, left_input=3962, right_input=1902, 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=3962","layer":3},{"info":"compute binary expreesion, left_input=358242, right_input=3962, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1662","layer":2},{"info":"compute binary expreesion, left_input=-11326, right_input=1662, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-12978","layer":1},{"info":"compute unary expreesion, input=-12978, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":0}],"base":2,"result_base":2,"text":"⊙↵-(((≮⫘↔111000100100⨎≮⫘↔111010100101)⊦⊿)⨰(≮⫘↔10101101001≎⊠⪸≮⫘↔11011111100%≮⫘↔111101111010⨪↰⇹≮⫘↔11101101110))=≮⫘↔11000100","reverse_text":"≮⫘↔11000100=⊙↵-(((≮⫘↔111000100100⨎≮⫘↔111010100101)⊦⊿)⨰(≮⫘↔10101101001≎⊠⪸≮⫘↔11011111100%≮⫘↔111101111010⨪↰⇹≮⫘↔11101101110))","cot":[{"info":"≮⫘↔111000100100⨎≮⫘↔111010100101=≮⫘↔111010100101","layer":3},{"info":"≮⫘↔111010100101⊦⊿=≮⫘↔-10110000111110","layer":2},{"info":"≮⫘↔10101101001≎⊠⪸≮⫘↔11011111100=≮⫘↔1010111011101100010","layer":3},{"info":"≮⫘↔111101111010⨪↰⇹≮⫘↔11101101110=≮⫘↔111101111010","layer":3},{"info":"≮⫘↔1010111011101100010%≮⫘↔111101111010=≮⫘↔11001111110","layer":2},{"info":"≮⫘↔-10110000111110⨰≮⫘↔11001111110=≮⫘↔-11001010110010","layer":1},{"info":"⊙↵-≮⫘↔-11001010110010=≮⫘↔11000100","layer":0}]}
{"id":907,"expression_no_base_symbol":"(($1415$≭$4091$)∼$2332$≹⇙⪍$1479$/($5632$/$5024$)⨽$3822$∼$2743$)⨐⩸⫘((-$1002$⫥∨⫟$3284$)≦≮≮)","expression":"((≮⫘↔10110000111≭≮⫘↔111111111011)∼≮⫘↔100100011100≹⇙⪍≮⫘↔10111000111/(≮⫘↔1011000000000/≮⫘↔1001110100000)⨽≮⫘↔111011101110∼≮⫘↔101010110111)⨐⩸⫘((-≮⫘↔1111101010⫥∨⫟≮⫘↔110011010100)≦≮≮)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":252,"operation_count":11,"complexity_ratio":22.90909090909091,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1415,"base":2},"right_expr":{"type":"numeric_atoms","value":4091,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2332,"base":2},"right_expr":{"type":"numeric_atoms","value":1479,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5632,"base":2},"right_expr":{"type":"numeric_atoms","value":5024,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3822,"base":2},"right_expr":{"type":"numeric_atoms","value":2743,"base":2}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1002,"base":2},"right_expr":{"type":"numeric_atoms","value":3284,"base":2}}}}},"used_operators":["fu6greOZ01","XhwjNDsVaA","DyGG3AbaNP","rxpJgHHUmx","AHs5Up7iyr","8HhzD0ZcuI","D4vGDi5EA2","t8gj7n24qd","KYD54nUTWz"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","dWAJyo7jo9","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1415","layer":4},{"info":"number node, value=4091","layer":4},{"info":"compute binary expreesion, left_input=1415, right_input=4091, 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=2332","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=2332, right_input=1479, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=5632","layer":4},{"info":"number node, value=5024","layer":4},{"info":"compute binary expreesion, left_input=5632, right_input=5024, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=3822","layer":4},{"info":"number node, value=2743","layer":4},{"info":"compute binary expreesion, left_input=3822, right_input=2743, 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=1, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1002","layer":4},{"info":"number node, value=3284","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=3284, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10110000111≭≮⫘↔111111111011)∼≮⫘↔100100011100≹⇙⪍≮⫘↔10111000111/(≮⫘↔1011000000000/≮⫘↔1001110100000)⨽≮⫘↔111011101110∼≮⫘↔101010110111)⨐⩸⫘((-≮⫘↔1111101010⫥∨⫟≮⫘↔110011010100)≦≮≮)=NaN","reverse_text":"NaN=((≮⫘↔10110000111≭≮⫘↔111111111011)∼≮⫘↔100100011100≹⇙⪍≮⫘↔10111000111/(≮⫘↔1011000000000/≮⫘↔1001110100000)⨽≮⫘↔111011101110∼≮⫘↔101010110111)⨐⩸⫘((-≮⫘↔1111101010⫥∨⫟≮⫘↔110011010100)≦≮≮)","cot":[{"info":"≮⫘↔10110000111≭≮⫘↔111111111011=NaN","layer":3},{"info":"≮⫘↔100100011100≹⇙⪍≮⫘↔10111000111=NaN","layer":3},{"info":"NaN∼NaN=NaN","layer":2},{"info":"≮⫘↔1011000000000/≮⫘↔1001110100000=≮⫘↔1","layer":3},{"info":"≮⫘↔111011101110∼≮⫘↔101010110111=NaN","layer":3},{"info":"≮⫘↔1⨽NaN=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"≮⫘↔1111101010⫥∨⫟≮⫘↔110011010100=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"NaN≦≮≮=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":908,"expression_no_base_symbol":"⨈⫕((-(⪝⪂⫅$5170$))+$2271$∼$4656$∑⇟⊟($1522$⩷∴$1813$))","expression":"⨈⫕((-(⪝⪂⫅≮⫘↔1010000110010))+≮⫘↔100011011111∼≮⫘↔1001000110000∑⇟⊟(≮⫘↔10111110010⩷∴≮⫘↔11100010101))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":377586,"operation_count":7,"complexity_ratio":53940.857142857145,"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":5170,"base":2}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2271,"base":2},"right_expr":{"type":"numeric_atoms","value":4656,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1522,"base":2},"right_expr":{"type":"numeric_atoms","value":1813,"base":2}}}}},"used_operators":["megm06wKyl","W4YGzv6Whe","t8gj7n24qd","XTarYq4gQB","U7g4x0WXJJ","DyGG3AbaNP","9FxExcQeMw"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9HNa5Wba9A","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z"],"result":"≮⫘↔-10101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5170","layer":4},{"info":"compute unary expreesion, input=5170, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-759990","layer":3},{"info":"compute unary expreesion, input=-759990, op_id = t8gj7n24qd, unary_op_definition = 'None', output=759990","layer":2},{"info":"number node, value=2271","layer":4},{"info":"number node, value=4656","layer":4},{"info":"compute binary expreesion, left_input=2271, right_input=4656, 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=1522","layer":4},{"info":"number node, value=1813","layer":4},{"info":"compute binary expreesion, left_input=1522, right_input=1813, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-614","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-614, 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=759990, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":2,"result_base":2,"text":"⨈⫕((-(⪝⪂⫅≮⫘↔1010000110010))+≮⫘↔100011011111∼≮⫘↔1001000110000∑⇟⊟(≮⫘↔10111110010⩷∴≮⫘↔11100010101))=≮⫘↔-10101","reverse_text":"≮⫘↔-10101=⨈⫕((-(⪝⪂⫅≮⫘↔1010000110010))+≮⫘↔100011011111∼≮⫘↔1001000110000∑⇟⊟(≮⫘↔10111110010⩷∴≮⫘↔11100010101))","cot":[{"info":"⪝⪂⫅≮⫘↔1010000110010=≮⫘↔-10111001100010110110","layer":3},{"info":"-≮⫘↔-10111001100010110110=≮⫘↔10111001100010110110","layer":2},{"info":"≮⫘↔100011011111∼≮⫘↔1001000110000=NaN","layer":3},{"info":"≮⫘↔10111110010⩷∴≮⫘↔11100010101=≮⫘↔-1001100110","layer":3},{"info":"NaN∑⇟⊟≮⫘↔-1001100110=NaN","layer":2},{"info":"≮⫘↔10111001100010110110+NaN=NaN","layer":1},{"info":"⨈⫕NaN=≮⫘↔-10101","layer":0}]}
{"id":909,"expression_no_base_symbol":"⊙↵-(((⊥$1328$)⊦⊿)⩠)","expression":"⊙↵-(((⊥≮⫘↔10100110000)⊦⊿)⩠)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":52,"operation_count":4,"complexity_ratio":13.0,"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":1328,"base":2}}}}},"used_operators":["oWn0xqSxBt","sJAwomhLZr","14qkJME0vr","Q3PJZHRvZv"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1328","layer":4},{"info":"compute unary expreesion, input=1328, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⊙↵-(((⊥≮⫘↔10100110000)⊦⊿)⩠)=NaN","reverse_text":"NaN=⊙↵-(((⊥≮⫘↔10100110000)⊦⊿)⩠)","cot":[{"info":"⊥≮⫘↔10100110000=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"NaN⩠=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":910,"expression_no_base_symbol":"($1123$⨳⩥⨓$9617$)↬$2131$∼$3704$⨸⪁(($4580$⪄$1072$)⫌⩹⨱)⊉≛↸($3412$⪄$2032$⨵⪆$5819$⪛$3210$+((≉$2274$)⋷($7482$⫡⨏$2723$)))","expression":"(≮⫘↔10001100011⨳⩥⨓≮⫘↔10010110010001)↬≮⫘↔100001010011∼≮⫘↔111001111000⨸⪁((≮⫘↔1000111100100⪄≮⫘↔10000110000)⫌⩹⨱)⊉≛↸(≮⫘↔110101010100⪄≮⫘↔11111110000⨵⪆≮⫘↔1011010111011⪛≮⫘↔110010001010+((≉≮⫘↔100011100010)⋷(≮⫘↔1110100111010⫡⨏≮⫘↔101010100011)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":267,"operation_count":14,"complexity_ratio":19.071428571428573,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1123,"base":2},"right_expr":{"type":"numeric_atoms","value":9617,"base":2}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2131,"base":2},"right_expr":{"type":"numeric_atoms","value":3704,"base":2}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4580,"base":2},"right_expr":{"type":"numeric_atoms","value":1072,"base":2}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3412,"base":2},"right_expr":{"type":"numeric_atoms","value":2032,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5819,"base":2},"right_expr":{"type":"numeric_atoms","value":3210,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2274,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":7482,"base":2},"right_expr":{"type":"numeric_atoms","value":2723,"base":2}}}}},"used_operators":["DZ8iAZOCBD","g55IO6H4Gj","B5M0gjZbta","nCS4ZIUYfx","DyGG3AbaNP","EBcxylXtPf","SUmda5xLS4","W4YGzv6Whe","2DQ55sFlQl","uFcxV4UQCh","23Mk6UjR3U","e1ybzncUwg","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1123","layer":4},{"info":"number node, value=9617","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=9617, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=8494","layer":3},{"info":"number node, value=2131","layer":4},{"info":"number node, value=3704","layer":4},{"info":"compute binary expreesion, left_input=2131, right_input=3704, 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=8494, 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":2},{"info":"number node, value=4580","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=4580, right_input=1072, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-678217","layer":3},{"info":"compute unary expreesion, input=-678217, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-1355033","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1355033, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=3412","layer":4},{"info":"number node, value=2032","layer":4},{"info":"compute binary expreesion, left_input=3412, right_input=2032, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-509193","layer":3},{"info":"number node, value=5819","layer":4},{"info":"number node, value=3210","layer":4},{"info":"compute binary expreesion, left_input=5819, right_input=3210, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2609","layer":3},{"info":"compute binary expreesion, left_input=-509193, right_input=2609, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2274","layer":4},{"info":"compute unary expreesion, input=2274, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2805","layer":3},{"info":"number node, value=7482","layer":4},{"info":"number node, value=2723","layer":4},{"info":"compute binary expreesion, left_input=7482, right_input=2723, 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=43639","layer":3},{"info":"compute binary expreesion, left_input=2805, right_input=43639, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=84473","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=84473, op_id = W4YGzv6Whe binary_op_definition= 'None', output=84633","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=84633, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10001100011⨳⩥⨓≮⫘↔10010110010001)↬≮⫘↔100001010011∼≮⫘↔111001111000⨸⪁((≮⫘↔1000111100100⪄≮⫘↔10000110000)⫌⩹⨱)⊉≛↸(≮⫘↔110101010100⪄≮⫘↔11111110000⨵⪆≮⫘↔1011010111011⪛≮⫘↔110010001010+((≉≮⫘↔100011100010)⋷(≮⫘↔1110100111010⫡⨏≮⫘↔101010100011)))=NaN","reverse_text":"NaN=(≮⫘↔10001100011⨳⩥⨓≮⫘↔10010110010001)↬≮⫘↔100001010011∼≮⫘↔111001111000⨸⪁((≮⫘↔1000111100100⪄≮⫘↔10000110000)⫌⩹⨱)⊉≛↸(≮⫘↔110101010100⪄≮⫘↔11111110000⨵⪆≮⫘↔1011010111011⪛≮⫘↔110010001010+((≉≮⫘↔100011100010)⋷(≮⫘↔1110100111010⫡⨏≮⫘↔101010100011)))","cot":[{"info":"≮⫘↔10001100011⨳⩥⨓≮⫘↔10010110010001=≮⫘↔10000100101110","layer":3},{"info":"≮⫘↔100001010011∼≮⫘↔111001111000=NaN","layer":3},{"info":"≮⫘↔10000100101110↬NaN=NaN","layer":2},{"info":"≮⫘↔1000111100100⪄≮⫘↔10000110000=≮⫘↔-10100101100101001001","layer":3},{"info":"≮⫘↔-10100101100101001001⫌⩹⨱=≮⫘↔-101001010110100011001","layer":2},{"info":"NaN⨸⪁≮⫘↔-101001010110100011001=NaN","layer":1},{"info":"≮⫘↔110101010100⪄≮⫘↔11111110000=≮⫘↔-1111100010100001001","layer":3},{"info":"≮⫘↔1011010111011⪛≮⫘↔110010001010=≮⫘↔101000110001","layer":3},{"info":"≮⫘↔-1111100010100001001⨵⪆≮⫘↔101000110001=≮⫘↔10100000","layer":2},{"info":"≉≮⫘↔100011100010=≮⫘↔101011110101","layer":3},{"info":"≮⫘↔1110100111010⫡⨏≮⫘↔101010100011=≮⫘↔1010101001110111","layer":3},{"info":"≮⫘↔101011110101⋷≮⫘↔1010101001110111=≮⫘↔10100100111111001","layer":2},{"info":"≮⫘↔10100000+≮⫘↔10100100111111001=≮⫘↔10100101010011001","layer":1},{"info":"NaN⊉≛↸≮⫘↔10100101010011001=NaN","layer":0}]}
{"id":911,"expression_no_base_symbol":"⫓⪴(⨰⫟⨤($7309$⪮%⊝$4456$)⪮%⊝($1124$≋⫹))","expression":"⫓⪴(⨰⫟⨤(≮⫘↔1110010001101⪮%⊝≮⫘↔1000101101000)⪮%⊝(≮⫘↔10001100100≋⫹))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":119918,"operation_count":5,"complexity_ratio":23983.6,"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":7309,"base":2},"right_expr":{"type":"numeric_atoms","value":4456,"base":2}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1124,"base":2}}}}},"used_operators":["eLxqMNBOBk","Tw270M8GLb","IWmyXbctLI","N41Kp7NANJ"],"dependent_operators":["9HNa5Wba9A","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7309","layer":4},{"info":"number node, value=4456","layer":4},{"info":"compute binary expreesion, left_input=7309, right_input=4456, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14934","layer":3},{"info":"number node, value=1124","layer":4},{"info":"compute unary expreesion, input=1124, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2248","layer":3},{"info":"compute binary expreesion, left_input=14934, right_input=-2248, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=30184","layer":2},{"info":"compute unary expreesion, input=30184, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⫓⪴(⨰⫟⨤(≮⫘↔1110010001101⪮%⊝≮⫘↔1000101101000)⪮%⊝(≮⫘↔10001100100≋⫹))=NaN","reverse_text":"NaN=⫓⪴(⨰⫟⨤(≮⫘↔1110010001101⪮%⊝≮⫘↔1000101101000)⪮%⊝(≮⫘↔10001100100≋⫹))","cot":[{"info":"≮⫘↔1110010001101⪮%⊝≮⫘↔1000101101000=≮⫘↔11101001010110","layer":3},{"info":"≮⫘↔10001100100≋⫹=≮⫘↔-100011001000","layer":3},{"info":"≮⫘↔11101001010110⪮%⊝≮⫘↔-100011001000=≮⫘↔111010111101000","layer":2},{"info":"⨰⫟⨤≮⫘↔111010111101000=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":912,"expression_no_base_symbol":"⇁⨣⪵($6804$⪒$1206$)⨪↰⇹($2082$+⇶⊼$4932$)⪄(⊥($3747$⩤))","expression":"⇁⨣⪵(≮⫘↔1101010010100⪒≮⫘↔10010110110)⨪↰⇹(≮⫘↔100000100010+⇶⊼≮⫘↔1001101000100)⪄(⊥(≮⫘↔111010100011⩤))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":8109,"operation_count":7,"complexity_ratio":1158.4285714285713,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6804,"base":2},"right_expr":{"type":"numeric_atoms","value":1206,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2082,"base":2},"right_expr":{"type":"numeric_atoms","value":4932,"base":2}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3747,"base":2}}}}},"used_operators":["inkyxCbjAn","SUmda5xLS4","tmPS8pqC7x","f6k1SAg4EE","TpPTUOHfaN","Q3PJZHRvZv","Z2TMIBDE3Q"],"dependent_operators":["B5M0gjZbta","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6804","layer":4},{"info":"number node, value=1206","layer":4},{"info":"compute binary expreesion, left_input=6804, right_input=1206, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8010","layer":3},{"info":"number node, value=2082","layer":4},{"info":"number node, value=4932","layer":4},{"info":"compute binary expreesion, left_input=2082, right_input=4932, 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=-8010, 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=-8010","layer":2},{"info":"number node, value=3747","layer":4},{"info":"compute unary expreesion, input=3747, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3747","layer":3},{"info":"compute unary expreesion, input=-3747, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-8010, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute unary expreesion, input=3979, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⇁⨣⪵(≮⫘↔1101010010100⪒≮⫘↔10010110110)⨪↰⇹(≮⫘↔100000100010+⇶⊼≮⫘↔1001101000100)⪄(⊥(≮⫘↔111010100011⩤))=NaN","reverse_text":"NaN=⇁⨣⪵(≮⫘↔1101010010100⪒≮⫘↔10010110110)⨪↰⇹(≮⫘↔100000100010+⇶⊼≮⫘↔1001101000100)⪄(⊥(≮⫘↔111010100011⩤))","cot":[{"info":"≮⫘↔1101010010100⪒≮⫘↔10010110110=≮⫘↔-1111101001010","layer":3},{"info":"≮⫘↔100000100010+⇶⊼≮⫘↔1001101000100=NaN","layer":3},{"info":"≮⫘↔-1111101001010⨪↰⇹NaN=≮⫘↔-1111101001010","layer":2},{"info":"≮⫘↔111010100011⩤=≮⫘↔-111010100011","layer":3},{"info":"⊥≮⫘↔-111010100011=NaN","layer":2},{"info":"≮⫘↔-1111101001010⪄NaN=≮⫘↔111110001011","layer":1},{"info":"⇁⨣⪵≮⫘↔111110001011=NaN","layer":0}]}
{"id":913,"expression_no_base_symbol":"($1576$↬$2773$)⊴($1151$⊦⊿)∑⇟⊟($5647$⨽$3284$)⪮%⊝(⨑⩽⪐$1661$)⋳⪒(⨈⫕($8592$⪠⩆⊳))∀⇚≩(⪝⪂⫅($6426$⩨$1305$))","expression":"(≮⫘↔11000101000↬≮⫘↔101011010101)⊴(≮⫘↔10001111111⊦⊿)∑⇟⊟(≮⫘↔1011000001111⨽≮⫘↔110011010100)⪮%⊝(⨑⩽⪐≮⫘↔11001111101)⋳⪒(⨈⫕(≮⫘↔10000110010000⪠⩆⊳))∀⇚≩(⪝⪂⫅(≮⫘↔1100100011010⩨≮⫘↔10100011001))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9769,"operation_count":13,"complexity_ratio":751.4615384615385,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1576,"base":2},"right_expr":{"type":"numeric_atoms","value":2773,"base":2}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1151,"base":2}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5647,"base":2},"right_expr":{"type":"numeric_atoms","value":3284,"base":2}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1661,"base":2}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":8592,"base":2}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6426,"base":2},"right_expr":{"type":"numeric_atoms","value":1305,"base":2}}}}},"used_operators":["12rbrZMWeM","U7g4x0WXJJ","Nsiff2A1zJ","B5M0gjZbta","14qkJME0vr","IWmyXbctLI","8HhzD0ZcuI","AF7qkfDlqP","LRNGc0VcxI","megm06wKyl","JLbD19bQDL","XTarYq4gQB","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","X99M06cbEe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1576","layer":4},{"info":"number node, value=2773","layer":4},{"info":"compute binary expreesion, left_input=1576, right_input=2773, 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=1151","layer":4},{"info":"compute unary expreesion, input=1151, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3532","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3532, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=5647","layer":4},{"info":"number node, value=3284","layer":4},{"info":"compute binary expreesion, left_input=5647, right_input=3284, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-95674365","layer":3},{"info":"number node, value=1661","layer":4},{"info":"compute unary expreesion, input=1661, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1388","layer":3},{"info":"compute binary expreesion, left_input=-95674365, right_input=-1388, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-191348414","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-191348414, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=8592","layer":4},{"info":"compute unary expreesion, input=8592, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 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=6426","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=6426, right_input=1305, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-21, 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=-979370451","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-979370451, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11000101000↬≮⫘↔101011010101)⊴(≮⫘↔10001111111⊦⊿)∑⇟⊟(≮⫘↔1011000001111⨽≮⫘↔110011010100)⪮%⊝(⨑⩽⪐≮⫘↔11001111101)⋳⪒(⨈⫕(≮⫘↔10000110010000⪠⩆⊳))∀⇚≩(⪝⪂⫅(≮⫘↔1100100011010⩨≮⫘↔10100011001))=NaN","reverse_text":"NaN=(≮⫘↔11000101000↬≮⫘↔101011010101)⊴(≮⫘↔10001111111⊦⊿)∑⇟⊟(≮⫘↔1011000001111⨽≮⫘↔110011010100)⪮%⊝(⨑⩽⪐≮⫘↔11001111101)⋳⪒(⨈⫕(≮⫘↔10000110010000⪠⩆⊳))∀⇚≩(⪝⪂⫅(≮⫘↔1100100011010⩨≮⫘↔10100011001))","cot":[{"info":"≮⫘↔11000101000↬≮⫘↔101011010101=NaN","layer":3},{"info":"≮⫘↔10001111111⊦⊿=≮⫘↔-110111001100","layer":3},{"info":"NaN⊴≮⫘↔-110111001100=NaN","layer":2},{"info":"≮⫘↔1011000001111⨽≮⫘↔110011010100=≮⫘↔-101101100111101111111111101","layer":3},{"info":"⨑⩽⪐≮⫘↔11001111101=≮⫘↔-10101101100","layer":3},{"info":"≮⫘↔-101101100111101111111111101⪮%⊝≮⫘↔-10101101100=≮⫘↔-1011011001111011111010111110","layer":2},{"info":"NaN∑⇟⊟≮⫘↔-1011011001111011111010111110=NaN","layer":1},{"info":"≮⫘↔10000110010000⪠⩆⊳=≮⫘↔0","layer":3},{"info":"⨈⫕≮⫘↔0=≮⫘↔-10101","layer":2},{"info":"≮⫘↔1100100011010⩨≮⫘↔10100011001=≮⫘↔0","layer":3},{"info":"⪝⪂⫅≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔-10101∀⇚≩≮⫘↔0=≮⫘↔-111010011000000000000111010011","layer":1},{"info":"NaN⋳⪒≮⫘↔-111010011000000000000111010011=NaN","layer":0}]}
{"id":914,"expression_no_base_symbol":"(⫓⪴(⫛⫱⨽$2690$)⨪↰⇹($1524$≧⫂∧$5233$))↺(⪲⇎($1893$↪⪝)⨎($1137$⪨≂$5208$))","expression":"(⫓⪴(⫛⫱⨽≮⫘↔101010000010)⨪↰⇹(≮⫘↔10111110100≧⫂∧≮⫘↔1010001110001))↺(⪲⇎(≮⫘↔11101100101↪⪝)⨎(≮⫘↔10001110001⪨≂≮⫘↔1010001011000))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2135,"operation_count":9,"complexity_ratio":237.22222222222223,"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":2690,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1524,"base":2},"right_expr":{"type":"numeric_atoms","value":5233,"base":2}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1893,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1137,"base":2},"right_expr":{"type":"numeric_atoms","value":5208,"base":2}}}}},"used_operators":["7j4O788W3g","eLxqMNBOBk","tmPS8pqC7x","DlLNRPXxWL","Ph9nP6C5qx","XPYlsWDdGa","rJVOvQCfKK","l07mrZUIn9","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","rJVOvQCfKK","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-11111011010000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2690","layer":4},{"info":"compute unary expreesion, input=2690, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1524","layer":4},{"info":"number node, value=5233","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=5233, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4760","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4760, 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 unary expreesion, input=0, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":1},{"info":"number node, value=1893","layer":4},{"info":"compute unary expreesion, input=1893, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=115817526","layer":3},{"info":"number node, value=1137","layer":4},{"info":"number node, value=5208","layer":4},{"info":"compute binary expreesion, left_input=1137, right_input=5208, 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=-8040","layer":3},{"info":"compute binary expreesion, left_input=115817526, right_input=-8040, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-8040","layer":2},{"info":"compute unary expreesion, input=-8040, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-16080","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-16080, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-16080","layer":0}],"base":2,"result_base":2,"text":"(⫓⪴(⫛⫱⨽≮⫘↔101010000010)⨪↰⇹(≮⫘↔10111110100≧⫂∧≮⫘↔1010001110001))↺(⪲⇎(≮⫘↔11101100101↪⪝)⨎(≮⫘↔10001110001⪨≂≮⫘↔1010001011000))=≮⫘↔-11111011010000","reverse_text":"≮⫘↔-11111011010000=(⫓⪴(⫛⫱⨽≮⫘↔101010000010)⨪↰⇹(≮⫘↔10111110100≧⫂∧≮⫘↔1010001110001))↺(⪲⇎(≮⫘↔11101100101↪⪝)⨎(≮⫘↔10001110001⪨≂≮⫘↔1010001011000))","cot":[{"info":"⫛⫱⨽≮⫘↔101010000010=≮⫘↔0","layer":3},{"info":"≮⫘↔10111110100≧⫂∧≮⫘↔1010001110001=≮⫘↔1001010011000","layer":3},{"info":"≮⫘↔0⨪↰⇹≮⫘↔1001010011000=≮⫘↔0","layer":2},{"info":"⫓⪴≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔11101100101↪⪝=≮⫘↔110111001110011110000110110","layer":3},{"info":"≮⫘↔10001110001⪨≂≮⫘↔1010001011000=≮⫘↔-1111101101000","layer":3},{"info":"≮⫘↔110111001110011110000110110⨎≮⫘↔-1111101101000=≮⫘↔-1111101101000","layer":2},{"info":"⪲⇎≮⫘↔-1111101101000=≮⫘↔-11111011010000","layer":1},{"info":"≮⫘↔0↺≮⫘↔-11111011010000=≮⫘↔-11111011010000","layer":0}]}
{"id":915,"expression_no_base_symbol":"(($3747$⨳⩥⨓$3772$)↬$5594$⊴$2283$-((⫛⫱⨽$2248$)⪨≂($1297$/$2674$)))⋥≓≎((⨰⫟⨤(≤/$6294$))⨸⪁(($7161$⊘)≣⋋))","expression":"((≮⫘↔111010100011⨳⩥⨓≮⫘↔111010111100)↬≮⫘↔1010111011010⊴≮⫘↔100011101011-((⫛⫱⨽≮⫘↔100011001000)⪨≂(≮⫘↔10100010001/≮⫘↔101001110010)))⋥≓≎((⨰⫟⨤(≤/≮⫘↔1100010010110))⨸⪁((≮⫘↔1101111111001⊘)≣⋋))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":32258,"operation_count":13,"complexity_ratio":2481.3846153846152,"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":3747,"base":2},"right_expr":{"type":"numeric_atoms","value":3772,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5594,"base":2},"right_expr":{"type":"numeric_atoms","value":2283,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2248,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1297,"base":2},"right_expr":{"type":"numeric_atoms","value":2674,"base":2}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":6294,"base":2}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":7161,"base":2}}}}},"used_operators":["Qy55tPpLXF","rysDP5nf3Z","B5M0gjZbta","nCS4ZIUYfx","Nsiff2A1zJ","sdazOOVcIp","DlLNRPXxWL","XhwjNDsVaA","g55IO6H4Gj","Tw270M8GLb","eLAdDNolq6","Tcnh7f0tEr","gu96TGCTMs"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3747","layer":4},{"info":"number node, value=3772","layer":4},{"info":"compute binary expreesion, left_input=3747, right_input=3772, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=25","layer":3},{"info":"number node, value=5594","layer":4},{"info":"number node, value=2283","layer":4},{"info":"compute binary expreesion, left_input=5594, right_input=2283, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=25, 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":2},{"info":"number node, value=2248","layer":4},{"info":"compute unary expreesion, input=2248, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1297","layer":4},{"info":"number node, value=2674","layer":4},{"info":"compute binary expreesion, left_input=1297, right_input=2674, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=102","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=102, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=6294","layer":4},{"info":"compute unary expreesion, input=6294, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5810","layer":3},{"info":"compute unary expreesion, input=-5810, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=7161","layer":4},{"info":"compute unary expreesion, input=7161, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔111010100011⨳⩥⨓≮⫘↔111010111100)↬≮⫘↔1010111011010⊴≮⫘↔100011101011-((⫛⫱⨽≮⫘↔100011001000)⪨≂(≮⫘↔10100010001/≮⫘↔101001110010)))⋥≓≎((⨰⫟⨤(≤/≮⫘↔1100010010110))⨸⪁((≮⫘↔1101111111001⊘)≣⋋))=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=((≮⫘↔111010100011⨳⩥⨓≮⫘↔111010111100)↬≮⫘↔1010111011010⊴≮⫘↔100011101011-((⫛⫱⨽≮⫘↔100011001000)⪨≂(≮⫘↔10100010001/≮⫘↔101001110010)))⋥≓≎((⨰⫟⨤(≤/≮⫘↔1100010010110))⨸⪁((≮⫘↔1101111111001⊘)≣⋋))","cot":[{"info":"≮⫘↔111010100011⨳⩥⨓≮⫘↔111010111100=≮⫘↔11001","layer":3},{"info":"≮⫘↔1010111011010⊴≮⫘↔100011101011=NaN","layer":3},{"info":"≮⫘↔11001↬NaN=NaN","layer":2},{"info":"⫛⫱⨽≮⫘↔100011001000=≮⫘↔0","layer":3},{"info":"≮⫘↔10100010001/≮⫘↔101001110010=≮⫘↔0","layer":3},{"info":"≮⫘↔0⪨≂≮⫘↔0=≮⫘↔1100110","layer":2},{"info":"NaN-≮⫘↔1100110=NaN","layer":1},{"info":"≤/≮⫘↔1100010010110=≮⫘↔-1011010110010","layer":3},{"info":"⨰⫟⨤≮⫘↔-1011010110010=NaN","layer":2},{"info":"≮⫘↔1101111111001⊘=≮⫘↔0","layer":3},{"info":"≮⫘↔0≣⋋=≮⫘↔0","layer":2},{"info":"NaN⨸⪁≮⫘↔0=NaN","layer":1},{"info":"NaN⋥≓≎NaN=≮⫘↔1000011","layer":0}]}
{"id":916,"expression_no_base_symbol":"($4009$⋥≓≎$1200$/(⨑⩽⪐$2539$))≹⇙⪍(⊄⩳↩($3194$*$5504$))⪨≂($3529$⩨$3055$)⩚⊴⇥($2519$+$1541$)⪒(≉$1816$)∀⇚≩$1310$⊴$6346$","expression":"(≮⫘↔111110101001⋥≓≎≮⫘↔10010110000/(⨑⩽⪐≮⫘↔100111101011))≹⇙⪍(⊄⩳↩(≮⫘↔110001111010*≮⫘↔1010110000000))⪨≂(≮⫘↔110111001001⩨≮⫘↔101111101111)⩚⊴⇥(≮⫘↔100111010111+≮⫘↔11000000101)⪒(≉≮⫘↔11100011000)∀⇚≩≮⫘↔10100011110⊴≮⫘↔1100011001010","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":26006,"operation_count":14,"complexity_ratio":1857.5714285714287,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4009,"base":2},"right_expr":{"type":"numeric_atoms","value":1200,"base":2}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2539,"base":2}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3194,"base":2},"right_expr":{"type":"numeric_atoms","value":5504,"base":2}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3529,"base":2},"right_expr":{"type":"numeric_atoms","value":3055,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2519,"base":2},"right_expr":{"type":"numeric_atoms","value":1541,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1816,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1310,"base":2},"right_expr":{"type":"numeric_atoms","value":6346,"base":2}}}}},"used_operators":["sdazOOVcIp","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","AF7qkfDlqP","8w2t5hMYqp","9HNa5Wba9A","f6k1SAg4EE","NTOWxs364D","2DlMacCsIx","W4YGzv6Whe","LRNGc0VcxI","e1ybzncUwg","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4009","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=4009, right_input=1200, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1576","layer":3},{"info":"number node, value=2539","layer":4},{"info":"compute unary expreesion, input=2539, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2266","layer":3},{"info":"compute binary expreesion, left_input=-1576, right_input=-2266, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=3194","layer":4},{"info":"number node, value=5504","layer":4},{"info":"compute binary expreesion, left_input=3194, right_input=5504, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=17579776","layer":3},{"info":"compute unary expreesion, input=17579776, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-52739328","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-52739328, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=3529","layer":4},{"info":"number node, value=3055","layer":4},{"info":"compute binary expreesion, left_input=3529, right_input=3055, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2519","layer":4},{"info":"number node, value=1541","layer":4},{"info":"compute binary expreesion, left_input=2519, right_input=1541, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4060","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4060, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4181","layer":2},{"info":"number node, value=1816","layer":4},{"info":"compute unary expreesion, input=1816, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2347","layer":3},{"info":"number node, value=1310","layer":4},{"info":"number node, value=6346","layer":4},{"info":"compute binary expreesion, left_input=1310, right_input=6346, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2347, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4181, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔111110101001⋥≓≎≮⫘↔10010110000/(⨑⩽⪐≮⫘↔100111101011))≹⇙⪍(⊄⩳↩(≮⫘↔110001111010*≮⫘↔1010110000000))⪨≂(≮⫘↔110111001001⩨≮⫘↔101111101111)⩚⊴⇥(≮⫘↔100111010111+≮⫘↔11000000101)⪒(≉≮⫘↔11100011000)∀⇚≩≮⫘↔10100011110⊴≮⫘↔1100011001010=NaN","reverse_text":"NaN=(≮⫘↔111110101001⋥≓≎≮⫘↔10010110000/(⨑⩽⪐≮⫘↔100111101011))≹⇙⪍(⊄⩳↩(≮⫘↔110001111010*≮⫘↔1010110000000))⪨≂(≮⫘↔110111001001⩨≮⫘↔101111101111)⩚⊴⇥(≮⫘↔100111010111+≮⫘↔11000000101)⪒(≉≮⫘↔11100011000)∀⇚≩≮⫘↔10100011110⊴≮⫘↔1100011001010","cot":[{"info":"≮⫘↔111110101001⋥≓≎≮⫘↔10010110000=≮⫘↔-11000101000","layer":3},{"info":"⨑⩽⪐≮⫘↔100111101011=≮⫘↔-100011011010","layer":3},{"info":"≮⫘↔-11000101000/≮⫘↔-100011011010=≮⫘↔0","layer":2},{"info":"≮⫘↔110001111010*≮⫘↔1010110000000=≮⫘↔1000011000011111100000000","layer":3},{"info":"⊄⩳↩≮⫘↔1000011000011111100000000=≮⫘↔-11001001001011110100000000","layer":2},{"info":"≮⫘↔0≹⇙⪍≮⫘↔-11001001001011110100000000=NaN","layer":1},{"info":"≮⫘↔110111001001⩨≮⫘↔101111101111=≮⫘↔0","layer":3},{"info":"≮⫘↔100111010111+≮⫘↔11000000101=≮⫘↔111111011100","layer":3},{"info":"≮⫘↔0⩚⊴⇥≮⫘↔111111011100=≮⫘↔-1000001010101","layer":2},{"info":"≉≮⫘↔11100011000=≮⫘↔100100101011","layer":3},{"info":"≮⫘↔10100011110⊴≮⫘↔1100011001010=NaN","layer":3},{"info":"≮⫘↔100100101011∀⇚≩NaN=NaN","layer":2},{"info":"≮⫘↔-1000001010101⪒NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":917,"expression_no_base_symbol":"(($6569$⊦⊿)/$1840$+⇶⊼$3695$)⨰($2759$≫≃)⇷$6837$⨟⋌⩍$4194$⨰(⩦⩻⨪((⪝⪂⫅$2172$)⫡⨏$1230$⊴$4099$))","expression":"((≮⫘↔1100110101001⊦⊿)/≮⫘↔11100110000+⇶⊼≮⫘↔111001101111)⨰(≮⫘↔101011000111≫≃)⇷≮⫘↔1101010110101⨟⋌⩍≮⫘↔1000001100010⨰(⩦⩻⨪((⪝⪂⫅≮⫘↔100001111100)⫡⨏≮⫘↔10011001110⊴≮⫘↔1000000000011))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":101165,"operation_count":12,"complexity_ratio":8430.416666666666,"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":6569,"base":2}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1840,"base":2},"right_expr":{"type":"numeric_atoms","value":3695,"base":2}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2759,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6837,"base":2},"right_expr":{"type":"numeric_atoms","value":4194,"base":2}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2172,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1230,"base":2},"right_expr":{"type":"numeric_atoms","value":4099,"base":2}}}}},"used_operators":["eewbuw0ToL","XhwjNDsVaA","14qkJME0vr","TpPTUOHfaN","mp7IySMOzn","X99M06cbEe","rGHVDoGpnC","2td37pGCOC","QMFrweE19q","XTarYq4gQB","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6569","layer":4},{"info":"compute unary expreesion, input=6569, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-19786","layer":3},{"info":"number node, value=1840","layer":4},{"info":"number node, value=3695","layer":4},{"info":"compute binary expreesion, left_input=1840, right_input=3695, 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=-19786, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2759","layer":4},{"info":"compute unary expreesion, input=2759, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6919","layer":3},{"info":"number node, value=6837","layer":4},{"info":"number node, value=4194","layer":4},{"info":"compute binary expreesion, left_input=6837, right_input=4194, 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=6919, 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=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=2172","layer":4},{"info":"compute unary expreesion, input=2172, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-319284","layer":3},{"info":"number node, value=1230","layer":4},{"info":"number node, value=4099","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=4099, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-319284, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1100110101001⊦⊿)/≮⫘↔11100110000+⇶⊼≮⫘↔111001101111)⨰(≮⫘↔101011000111≫≃)⇷≮⫘↔1101010110101⨟⋌⩍≮⫘↔1000001100010⨰(⩦⩻⨪((⪝⪂⫅≮⫘↔100001111100)⫡⨏≮⫘↔10011001110⊴≮⫘↔1000000000011))=NaN","reverse_text":"NaN=((≮⫘↔1100110101001⊦⊿)/≮⫘↔11100110000+⇶⊼≮⫘↔111001101111)⨰(≮⫘↔101011000111≫≃)⇷≮⫘↔1101010110101⨟⋌⩍≮⫘↔1000001100010⨰(⩦⩻⨪((⪝⪂⫅≮⫘↔100001111100)⫡⨏≮⫘↔10011001110⊴≮⫘↔1000000000011))","cot":[{"info":"≮⫘↔1100110101001⊦⊿=≮⫘↔-100110101001010","layer":3},{"info":"≮⫘↔11100110000+⇶⊼≮⫘↔111001101111=NaN","layer":3},{"info":"≮⫘↔-100110101001010/NaN=NaN","layer":2},{"info":"≮⫘↔101011000111≫≃=≮⫘↔1101100000111","layer":3},{"info":"≮⫘↔1101010110101⨟⋌⩍≮⫘↔1000001100010=NaN","layer":3},{"info":"≮⫘↔1101100000111⇷NaN=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"⪝⪂⫅≮⫘↔100001111100=≮⫘↔-1001101111100110100","layer":3},{"info":"≮⫘↔10011001110⊴≮⫘↔1000000000011=NaN","layer":3},{"info":"≮⫘↔-1001101111100110100⫡⨏NaN=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":918,"expression_no_base_symbol":"(($8148$≭$6349$)≧⫂∧($1098$⊦⊿)⊉≛↸($2837$∑⇟⊟$4608$)∀⇚≩($1291$⩷∴$7713$))⩷∴(↯⪼($3036$⇼⇔∾$2583$))⪢($4434$⪢$1160$⪄($6355$⋷$1844$))","expression":"((≮⫘↔1111111010100≭≮⫘↔1100011001101)≧⫂∧(≮⫘↔10001001010⊦⊿)⊉≛↸(≮⫘↔101100010101∑⇟⊟≮⫘↔1001000000000)∀⇚≩(≮⫘↔10100001011⩷∴≮⫘↔1111000100001))⩷∴(↯⪼(≮⫘↔101111011100⇼⇔∾≮⫘↔101000010111))⪢(≮⫘↔1000101010010⪢≮⫘↔10010001000⪄(≮⫘↔1100011010011⋷≮⫘↔11100110100))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6020,"operation_count":14,"complexity_ratio":430.0,"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":8148,"base":2},"right_expr":{"type":"numeric_atoms","value":6349,"base":2}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1098,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2837,"base":2},"right_expr":{"type":"numeric_atoms","value":4608,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1291,"base":2},"right_expr":{"type":"numeric_atoms","value":7713,"base":2}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3036,"base":2},"right_expr":{"type":"numeric_atoms","value":2583,"base":2}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4434,"base":2},"right_expr":{"type":"numeric_atoms","value":1160,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6355,"base":2},"right_expr":{"type":"numeric_atoms","value":1844,"base":2}}}}},"used_operators":["9FxExcQeMw","DZ8iAZOCBD","Ph9nP6C5qx","rxpJgHHUmx","14qkJME0vr","LRNGc0VcxI","U7g4x0WXJJ","dWAJyo7jo9","8jW3W4yZS5","tifHPKVTfV","SUmda5xLS4","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","k8jYdgA6NY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8148","layer":4},{"info":"number node, value=6349","layer":4},{"info":"compute binary expreesion, left_input=8148, 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=1098","layer":4},{"info":"compute unary expreesion, input=1098, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3373","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3373, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"number node, value=2837","layer":4},{"info":"number node, value=4608","layer":4},{"info":"compute binary expreesion, left_input=2837, right_input=4608, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1291","layer":4},{"info":"number node, value=7713","layer":4},{"info":"compute binary expreesion, left_input=1291, right_input=7713, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-12876","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-12876, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=3036","layer":4},{"info":"number node, value=2583","layer":4},{"info":"compute binary expreesion, left_input=3036, right_input=2583, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-453","layer":3},{"info":"compute unary expreesion, input=-453, 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=4434","layer":4},{"info":"number node, value=1160","layer":4},{"info":"compute binary expreesion, left_input=4434, right_input=1160, 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=6355","layer":4},{"info":"number node, value=1844","layer":4},{"info":"compute binary expreesion, left_input=6355, right_input=1844, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2667","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2667, 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=-21, right_input=3979, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1111111010100≭≮⫘↔1100011001101)≧⫂∧(≮⫘↔10001001010⊦⊿)⊉≛↸(≮⫘↔101100010101∑⇟⊟≮⫘↔1001000000000)∀⇚≩(≮⫘↔10100001011⩷∴≮⫘↔1111000100001))⩷∴(↯⪼(≮⫘↔101111011100⇼⇔∾≮⫘↔101000010111))⪢(≮⫘↔1000101010010⪢≮⫘↔10010001000⪄(≮⫘↔1100011010011⋷≮⫘↔11100110100))=NaN","reverse_text":"NaN=((≮⫘↔1111111010100≭≮⫘↔1100011001101)≧⫂∧(≮⫘↔10001001010⊦⊿)⊉≛↸(≮⫘↔101100010101∑⇟⊟≮⫘↔1001000000000)∀⇚≩(≮⫘↔10100001011⩷∴≮⫘↔1111000100001))⩷∴(↯⪼(≮⫘↔101111011100⇼⇔∾≮⫘↔101000010111))⪢(≮⫘↔1000101010010⪢≮⫘↔10010001000⪄(≮⫘↔1100011010011⋷≮⫘↔11100110100))","cot":[{"info":"≮⫘↔1111111010100≭≮⫘↔1100011001101=NaN","layer":3},{"info":"≮⫘↔10001001010⊦⊿=≮⫘↔-110100101101","layer":3},{"info":"NaN≧⫂∧≮⫘↔-110100101101=NaN","layer":2},{"info":"≮⫘↔101100010101∑⇟⊟≮⫘↔1001000000000=NaN","layer":3},{"info":"≮⫘↔10100001011⩷∴≮⫘↔1111000100001=≮⫘↔-11001001001100","layer":3},{"info":"NaN∀⇚≩≮⫘↔-11001001001100=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"≮⫘↔101111011100⇼⇔∾≮⫘↔101000010111=≮⫘↔-111000101","layer":3},{"info":"↯⪼≮⫘↔-111000101=≮⫘↔-10101","layer":2},{"info":"≮⫘↔1000101010010⪢≮⫘↔10010001000=NaN","layer":3},{"info":"≮⫘↔1100011010011⋷≮⫘↔11100110100=≮⫘↔-101001101011","layer":3},{"info":"NaN⪄≮⫘↔-101001101011=≮⫘↔111110001011","layer":2},{"info":"≮⫘↔-10101⪢≮⫘↔111110001011=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":919,"expression_no_base_symbol":"⨑⩽⪐($2173$⋳⪒$3206$⊉≛↸$2029$⨽$3922$*$6526$⨎$4814$⋥≓≎($6287$+$3720$))","expression":"⨑⩽⪐(≮⫘↔100001111101⋳⪒≮⫘↔110010000110⊉≛↸≮⫘↔11111101101⨽≮⫘↔111101010010*≮⫘↔1100101111110⨎≮⫘↔1001011001110⋥≓≎(≮⫘↔1100010001111+≮⫘↔111010001000))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3763,"operation_count":8,"complexity_ratio":470.375,"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":2173,"base":2},"right_expr":{"type":"numeric_atoms","value":3206,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2029,"base":2},"right_expr":{"type":"numeric_atoms","value":3922,"base":2}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6526,"base":2},"right_expr":{"type":"numeric_atoms","value":4814,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6287,"base":2},"right_expr":{"type":"numeric_atoms","value":3720,"base":2}}}}},"used_operators":["AF7qkfDlqP","9HNa5Wba9A","DZ8iAZOCBD","12rbrZMWeM","8HhzD0ZcuI","Qy55tPpLXF","rJVOvQCfKK","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"≮⫘↔-1100011001000100010011001","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2173","layer":4},{"info":"number node, value=3206","layer":4},{"info":"compute binary expreesion, left_input=2173, right_input=3206, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=853","layer":3},{"info":"number node, value=2029","layer":4},{"info":"number node, value=3922","layer":4},{"info":"compute binary expreesion, left_input=2029, right_input=3922, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12360975","layer":3},{"info":"compute binary expreesion, left_input=853, right_input=-12360975, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1706","layer":2},{"info":"number node, value=6526","layer":4},{"info":"number node, value=4814","layer":4},{"info":"compute binary expreesion, left_input=6526, right_input=4814, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4814","layer":3},{"info":"number node, value=6287","layer":4},{"info":"number node, value=3720","layer":4},{"info":"compute binary expreesion, left_input=6287, right_input=3720, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10007","layer":3},{"info":"compute binary expreesion, left_input=4814, right_input=10007, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=15233","layer":2},{"info":"compute binary expreesion, left_input=1706, right_input=15233, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=25987498","layer":1},{"info":"compute unary expreesion, input=25987498, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-25987225","layer":0}],"base":2,"result_base":2,"text":"⨑⩽⪐(≮⫘↔100001111101⋳⪒≮⫘↔110010000110⊉≛↸≮⫘↔11111101101⨽≮⫘↔111101010010*≮⫘↔1100101111110⨎≮⫘↔1001011001110⋥≓≎(≮⫘↔1100010001111+≮⫘↔111010001000))=≮⫘↔-1100011001000100010011001","reverse_text":"≮⫘↔-1100011001000100010011001=⨑⩽⪐(≮⫘↔100001111101⋳⪒≮⫘↔110010000110⊉≛↸≮⫘↔11111101101⨽≮⫘↔111101010010*≮⫘↔1100101111110⨎≮⫘↔1001011001110⋥≓≎(≮⫘↔1100010001111+≮⫘↔111010001000))","cot":[{"info":"≮⫘↔100001111101⋳⪒≮⫘↔110010000110=≮⫘↔1101010101","layer":3},{"info":"≮⫘↔11111101101⨽≮⫘↔111101010010=≮⫘↔-101111001001110100001111","layer":3},{"info":"≮⫘↔1101010101⊉≛↸≮⫘↔-101111001001110100001111=≮⫘↔11010101010","layer":2},{"info":"≮⫘↔1100101111110⨎≮⫘↔1001011001110=≮⫘↔1001011001110","layer":3},{"info":"≮⫘↔1100010001111+≮⫘↔111010001000=≮⫘↔10011100010111","layer":3},{"info":"≮⫘↔1001011001110⋥≓≎≮⫘↔10011100010111=≮⫘↔11101110000001","layer":2},{"info":"≮⫘↔11010101010*≮⫘↔11101110000001=≮⫘↔1100011001000100110101010","layer":1},{"info":"⨑⩽⪐≮⫘↔1100011001000100110101010=≮⫘↔-1100011001000100010011001","layer":0}]}
{"id":920,"expression_no_base_symbol":"($1135$↺$1143$)⨟⋌⩍($3156$⫡⨏$1355$)⇷((⪲⇎$5038$)⊦⊿)⩨((≉$3634$)⩨($1841$⪨≂$3515$))⊴((⩦⩻⨪$1613$)%($4861$⪐))","expression":"(≮⫘↔10001101111↺≮⫘↔10001110111)⨟⋌⩍(≮⫘↔110001010100⫡⨏≮⫘↔10101001011)⇷((⪲⇎≮⫘↔1001110101110)⊦⊿)⩨((≉≮⫘↔111000110010)⩨(≮⫘↔11100110001⪨≂≮⫘↔110110111011))⊴((⩦⩻⨪≮⫘↔11001001101)%(≮⫘↔1001011111101⪐))","highest_n_order":4,"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":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1135,"base":2},"right_expr":{"type":"numeric_atoms","value":1143,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3156,"base":2},"right_expr":{"type":"numeric_atoms","value":1355,"base":2}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5038,"base":2}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3634,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1841,"base":2},"right_expr":{"type":"numeric_atoms","value":3515,"base":2}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1613,"base":2}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":4861,"base":2}}}}},"used_operators":["2DlMacCsIx","mp7IySMOzn","rGHVDoGpnC","7j4O788W3g","QMFrweE19q","14qkJME0vr","XPYlsWDdGa","Nsiff2A1zJ","e1ybzncUwg","sdazOOVcIp","k8jYdgA6NY","2td37pGCOC","eH2TOUuTDT"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1135","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=1143, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1143","layer":3},{"info":"number node, value=3156","layer":4},{"info":"number node, value=1355","layer":4},{"info":"compute binary expreesion, left_input=3156, right_input=1355, 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=19273","layer":3},{"info":"compute binary expreesion, left_input=1143, right_input=19273, 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=5038","layer":4},{"info":"compute unary expreesion, input=5038, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10076","layer":3},{"info":"compute unary expreesion, input=10076, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-30307","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-30307, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=3634","layer":4},{"info":"compute unary expreesion, input=3634, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4165","layer":3},{"info":"number node, value=1841","layer":4},{"info":"number node, value=3515","layer":4},{"info":"compute binary expreesion, left_input=1841, right_input=3515, 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=-3246","layer":3},{"info":"compute binary expreesion, left_input=4165, right_input=-3246, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"number node, value=1613","layer":4},{"info":"compute unary expreesion, input=1613, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1613","layer":3},{"info":"number node, value=4861","layer":4},{"info":"compute unary expreesion, input=4861, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=9722","layer":3},{"info":"compute binary expreesion, left_input=1613, right_input=9722, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1613","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=1613, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10001101111↺≮⫘↔10001110111)⨟⋌⩍(≮⫘↔110001010100⫡⨏≮⫘↔10101001011)⇷((⪲⇎≮⫘↔1001110101110)⊦⊿)⩨((≉≮⫘↔111000110010)⩨(≮⫘↔11100110001⪨≂≮⫘↔110110111011))⊴((⩦⩻⨪≮⫘↔11001001101)%(≮⫘↔1001011111101⪐))=NaN","reverse_text":"NaN=(≮⫘↔10001101111↺≮⫘↔10001110111)⨟⋌⩍(≮⫘↔110001010100⫡⨏≮⫘↔10101001011)⇷((⪲⇎≮⫘↔1001110101110)⊦⊿)⩨((≉≮⫘↔111000110010)⩨(≮⫘↔11100110001⪨≂≮⫘↔110110111011))⊴((⩦⩻⨪≮⫘↔11001001101)%(≮⫘↔1001011111101⪐))","cot":[{"info":"≮⫘↔10001101111↺≮⫘↔10001110111=≮⫘↔10001110111","layer":3},{"info":"≮⫘↔110001010100⫡⨏≮⫘↔10101001011=≮⫘↔100101101001001","layer":3},{"info":"≮⫘↔10001110111⨟⋌⩍≮⫘↔100101101001001=NaN","layer":2},{"info":"⪲⇎≮⫘↔1001110101110=≮⫘↔10011101011100","layer":3},{"info":"≮⫘↔10011101011100⊦⊿=≮⫘↔-111011001100011","layer":2},{"info":"NaN⇷≮⫘↔-111011001100011=NaN","layer":1},{"info":"≉≮⫘↔111000110010=≮⫘↔1000001000101","layer":3},{"info":"≮⫘↔11100110001⪨≂≮⫘↔110110111011=≮⫘↔-110010101110","layer":3},{"info":"≮⫘↔1000001000101⩨≮⫘↔-110010101110=≮⫘↔11","layer":2},{"info":"⩦⩻⨪≮⫘↔11001001101=≮⫘↔11001001101","layer":3},{"info":"≮⫘↔1001011111101⪐=≮⫘↔10010111111010","layer":3},{"info":"≮⫘↔11001001101%≮⫘↔10010111111010=≮⫘↔11001001101","layer":2},{"info":"≮⫘↔11⊴≮⫘↔11001001101=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
{"id":921,"expression_no_base_symbol":"(($5531$⊭↱$2183$↪⪝)∀⇚≩(($2539$+$1286$)⨓($3682$⩷∴$3672$)))≹⇙⪍(($1330$⪄$1436$)⨪↰⇹($1187$⨰$2269$)⨰(-$1300$⪄$2727$))","expression":"((≮⫘↔1010110011011⊭↱≮⫘↔100010000111↪⪝)∀⇚≩((≮⫘↔100111101011+≮⫘↔10100000110)⨓(≮⫘↔111001100010⩷∴≮⫘↔111001011000)))≹⇙⪍((≮⫘↔10100110010⪄≮⫘↔10110011100)⨪↰⇹(≮⫘↔10010100011⨰≮⫘↔100011011101)⨰(-≮⫘↔10100010100⪄≮⫘↔101010100111))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":709404,"operation_count":13,"complexity_ratio":54569.53846153846,"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":5531,"base":2},"right_expr":{"type":"numeric_atoms","value":2183,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2539,"base":2},"right_expr":{"type":"numeric_atoms","value":1286,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3682,"base":2},"right_expr":{"type":"numeric_atoms","value":3672,"base":2}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1330,"base":2},"right_expr":{"type":"numeric_atoms","value":1436,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1187,"base":2},"right_expr":{"type":"numeric_atoms","value":2269,"base":2}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1300,"base":2},"right_expr":{"type":"numeric_atoms","value":2727,"base":2}}}}},"used_operators":["AHs5Up7iyr","LRNGc0VcxI","l07mrZUIn9","COABgblf1C","3ViojmjbAp","W4YGzv6Whe","9FxExcQeMw","eewbuw0ToL","tmPS8pqC7x","SUmda5xLS4","t8gj7n24qd"],"dependent_operators":["dWAJyo7jo9","X99M06cbEe","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5531","layer":4},{"info":"number node, value=2183","layer":4},{"info":"compute binary expreesion, left_input=5531, right_input=2183, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6691","layer":3},{"info":"compute unary expreesion, input=-6691, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-409368762","layer":2},{"info":"number node, value=2539","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=2539, right_input=1286, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3825","layer":3},{"info":"number node, value=3682","layer":4},{"info":"number node, value=3672","layer":4},{"info":"compute binary expreesion, left_input=3682, right_input=3672, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-12","layer":3},{"info":"compute binary expreesion, left_input=3825, right_input=-12, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=9","layer":2},{"info":"compute binary expreesion, left_input=-409368762, right_input=9, 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=1330","layer":4},{"info":"number node, value=1436","layer":4},{"info":"compute binary expreesion, left_input=1330, right_input=1436, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-198673","layer":3},{"info":"number node, value=1187","layer":4},{"info":"number node, value=2269","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=2269, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1072","layer":3},{"info":"compute binary expreesion, left_input=-198673, right_input=-1072, 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=198673","layer":2},{"info":"number node, value=1300","layer":4},{"info":"number node, value=2727","layer":4},{"info":"compute binary expreesion, left_input=1300, right_input=2727, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-199397","layer":3},{"info":"compute unary expreesion, input=-199397, op_id = t8gj7n24qd, unary_op_definition = 'None', output=199397","layer":2},{"info":"compute binary expreesion, left_input=198673, right_input=199397, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-714","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-714, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1010110011011⊭↱≮⫘↔100010000111↪⪝)∀⇚≩((≮⫘↔100111101011+≮⫘↔10100000110)⨓(≮⫘↔111001100010⩷∴≮⫘↔111001011000)))≹⇙⪍((≮⫘↔10100110010⪄≮⫘↔10110011100)⨪↰⇹(≮⫘↔10010100011⨰≮⫘↔100011011101)⨰(-≮⫘↔10100010100⪄≮⫘↔101010100111))=NaN","reverse_text":"NaN=((≮⫘↔1010110011011⊭↱≮⫘↔100010000111↪⪝)∀⇚≩((≮⫘↔100111101011+≮⫘↔10100000110)⨓(≮⫘↔111001100010⩷∴≮⫘↔111001011000)))≹⇙⪍((≮⫘↔10100110010⪄≮⫘↔10110011100)⨪↰⇹(≮⫘↔10010100011⨰≮⫘↔100011011101)⨰(-≮⫘↔10100010100⪄≮⫘↔101010100111))","cot":[{"info":"≮⫘↔1010110011011⊭↱≮⫘↔100010000111=≮⫘↔-1101000100011","layer":3},{"info":"≮⫘↔-1101000100011↪⪝=≮⫘↔-11000011001100111100010111010","layer":2},{"info":"≮⫘↔100111101011+≮⫘↔10100000110=≮⫘↔111011110001","layer":3},{"info":"≮⫘↔111001100010⩷∴≮⫘↔111001011000=≮⫘↔-1100","layer":3},{"info":"≮⫘↔111011110001⨓≮⫘↔-1100=≮⫘↔1001","layer":2},{"info":"≮⫘↔-11000011001100111100010111010∀⇚≩≮⫘↔1001=NaN","layer":1},{"info":"≮⫘↔10100110010⪄≮⫘↔10110011100=≮⫘↔-110000100000010001","layer":3},{"info":"≮⫘↔10010100011⨰≮⫘↔100011011101=≮⫘↔-10000110000","layer":3},{"info":"≮⫘↔-110000100000010001⨪↰⇹≮⫘↔-10000110000=≮⫘↔110000100000010001","layer":2},{"info":"≮⫘↔10100010100⪄≮⫘↔101010100111=≮⫘↔-110000101011100101","layer":3},{"info":"-≮⫘↔-110000101011100101=≮⫘↔110000101011100101","layer":2},{"info":"≮⫘↔110000100000010001⨰≮⫘↔110000101011100101=≮⫘↔-1011001010","layer":1},{"info":"NaN≹⇙⪍≮⫘↔-1011001010=NaN","layer":0}]}
{"id":922,"expression_no_base_symbol":"($1410$⪘⫢$5638$⨳⩥⨓($1125$⊭↱$5395$))⨰(($2291$⫸⊐$4733$)⋥≓≎$7199$⨓$1442$)⨳⩥⨓($4893$≦≮≮)⪘⫢($1693$⋳⪒$3213$)+⇶⊼($6401$-$7423$⪨≂$1723$≭$5652$)","expression":"(≮⫘↔10110000010⪘⫢≮⫘↔1011000000110⨳⩥⨓(≮⫘↔10001100101⊭↱≮⫘↔1010100010011))⨰((≮⫘↔100011110011⫸⊐≮⫘↔1001001111101)⋥≓≎≮⫘↔1110000011111⨓≮⫘↔10110100010)⨳⩥⨓(≮⫘↔1001100011101≦≮≮)⪘⫢(≮⫘↔11010011101⋳⪒≮⫘↔110010001101)+⇶⊼(≮⫘↔1100100000001-≮⫘↔1110011111111⪨≂≮⫘↔11010111011≭≮⫘↔1011000010100)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1536,"operation_count":15,"complexity_ratio":102.4,"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":1410,"base":2},"right_expr":{"type":"numeric_atoms","value":5638,"base":2}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1125,"base":2},"right_expr":{"type":"numeric_atoms","value":5395,"base":2}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2291,"base":2},"right_expr":{"type":"numeric_atoms","value":4733,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7199,"base":2},"right_expr":{"type":"numeric_atoms","value":1442,"base":2}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4893,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1693,"base":2},"right_expr":{"type":"numeric_atoms","value":3213,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6401,"base":2},"right_expr":{"type":"numeric_atoms","value":7423,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1723,"base":2},"right_expr":{"type":"numeric_atoms","value":5652,"base":2}}}}},"used_operators":["nCS4ZIUYfx","eewbuw0ToL","oacrs7FA3X","COABgblf1C","Qy55tPpLXF","mqXw5SEYmG","3ViojmjbAp","TpPTUOHfaN","D4vGDi5EA2","12rbrZMWeM","sdazOOVcIp","rysDP5nf3Z","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1410","layer":4},{"info":"number node, value=5638","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=5638, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2696","layer":3},{"info":"number node, value=1125","layer":4},{"info":"number node, value=5395","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=5395, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8545","layer":3},{"info":"compute binary expreesion, left_input=2696, right_input=8545, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=5849","layer":2},{"info":"number node, value=2291","layer":4},{"info":"number node, value=4733","layer":4},{"info":"compute binary expreesion, left_input=2291, right_input=4733, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=18807","layer":3},{"info":"number node, value=7199","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=7199, right_input=1442, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1445","layer":3},{"info":"compute binary expreesion, left_input=18807, right_input=-1445, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-21664","layer":2},{"info":"compute binary expreesion, left_input=5849, right_input=-21664, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=27523","layer":1},{"info":"number node, value=4893","layer":4},{"info":"compute unary expreesion, input=4893, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-14679","layer":3},{"info":"number node, value=1693","layer":4},{"info":"number node, value=3213","layer":4},{"info":"compute binary expreesion, left_input=1693, right_input=3213, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-114","layer":3},{"info":"compute binary expreesion, left_input=-14679, right_input=-114, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"number node, value=6401","layer":4},{"info":"number node, value=7423","layer":4},{"info":"compute binary expreesion, left_input=6401, right_input=7423, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1022","layer":3},{"info":"number node, value=1723","layer":4},{"info":"number node, value=5652","layer":4},{"info":"compute binary expreesion, left_input=1723, right_input=5652, 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=-1022, 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":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=27523, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10110000010⪘⫢≮⫘↔1011000000110⨳⩥⨓(≮⫘↔10001100101⊭↱≮⫘↔1010100010011))⨰((≮⫘↔100011110011⫸⊐≮⫘↔1001001111101)⋥≓≎≮⫘↔1110000011111⨓≮⫘↔10110100010)⨳⩥⨓(≮⫘↔1001100011101≦≮≮)⪘⫢(≮⫘↔11010011101⋳⪒≮⫘↔110010001101)+⇶⊼(≮⫘↔1100100000001-≮⫘↔1110011111111⪨≂≮⫘↔11010111011≭≮⫘↔1011000010100)=NaN","reverse_text":"NaN=(≮⫘↔10110000010⪘⫢≮⫘↔1011000000110⨳⩥⨓(≮⫘↔10001100101⊭↱≮⫘↔1010100010011))⨰((≮⫘↔100011110011⫸⊐≮⫘↔1001001111101)⋥≓≎≮⫘↔1110000011111⨓≮⫘↔10110100010)⨳⩥⨓(≮⫘↔1001100011101≦≮≮)⪘⫢(≮⫘↔11010011101⋳⪒≮⫘↔110010001101)+⇶⊼(≮⫘↔1100100000001-≮⫘↔1110011111111⪨≂≮⫘↔11010111011≭≮⫘↔1011000010100)","cot":[{"info":"≮⫘↔10110000010⪘⫢≮⫘↔1011000000110=≮⫘↔101010001000","layer":3},{"info":"≮⫘↔10001100101⊭↱≮⫘↔1010100010011=≮⫘↔10000101100001","layer":3},{"info":"≮⫘↔101010001000⨳⩥⨓≮⫘↔10000101100001=≮⫘↔1011011011001","layer":2},{"info":"≮⫘↔100011110011⫸⊐≮⫘↔1001001111101=≮⫘↔100100101110111","layer":3},{"info":"≮⫘↔1110000011111⨓≮⫘↔10110100010=≮⫘↔-10110100101","layer":3},{"info":"≮⫘↔100100101110111⋥≓≎≮⫘↔-10110100101=≮⫘↔-101010010100000","layer":2},{"info":"≮⫘↔1011011011001⨰≮⫘↔-101010010100000=≮⫘↔110101110000011","layer":1},{"info":"≮⫘↔1001100011101≦≮≮=≮⫘↔-11100101010111","layer":3},{"info":"≮⫘↔11010011101⋳⪒≮⫘↔110010001101=≮⫘↔-1110010","layer":3},{"info":"≮⫘↔-11100101010111⪘⫢≮⫘↔-1110010=≮⫘↔-1","layer":2},{"info":"≮⫘↔1100100000001-≮⫘↔1110011111111=≮⫘↔-1111111110","layer":3},{"info":"≮⫘↔11010111011≭≮⫘↔1011000010100=NaN","layer":3},{"info":"≮⫘↔-1111111110⪨≂NaN=NaN","layer":2},{"info":"≮⫘↔-1+⇶⊼NaN=NaN","layer":1},{"info":"≮⫘↔110101110000011⨳⩥⨓NaN=NaN","layer":0}]}
{"id":923,"expression_no_base_symbol":"(↩(↣≠⋷($1398$⪘⫢$1122$)))∲⫓(≉$1606$)⊴($4445$⪘⫢$3903$)⨓(↥(⪲⇎$3599$))","expression":"(↩(↣≠⋷(≮⫘↔10101110110⪘⫢≮⫘↔10001100010)))∲⫓(≉≮⫘↔11001000110)⊴(≮⫘↔1000101011101⪘⫢≮⫘↔111100111111)⨓(↥(⪲⇎≮⫘↔111000001111))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8983,"operation_count":10,"complexity_ratio":898.3,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1398,"base":2},"right_expr":{"type":"numeric_atoms","value":1122,"base":2}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1606,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4445,"base":2},"right_expr":{"type":"numeric_atoms","value":3903,"base":2}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3599,"base":2}}}}},"used_operators":["i8ToyICDmI","jLgFTUHLKL","Asc51vEJeQ","oacrs7FA3X","3ViojmjbAp","Nsiff2A1zJ","e1ybzncUwg","A8NUZmVepG","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","XhwjNDsVaA","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1398","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=1398, right_input=1122, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2672","layer":3},{"info":"compute unary expreesion, input=2672, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', 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":"number node, value=1606","layer":4},{"info":"compute unary expreesion, input=1606, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2137","layer":3},{"info":"number node, value=4445","layer":4},{"info":"number node, value=3903","layer":4},{"info":"compute binary expreesion, left_input=4445, right_input=3903, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8766","layer":3},{"info":"compute binary expreesion, left_input=2137, right_input=8766, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=3599","layer":4},{"info":"compute unary expreesion, input=3599, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7198","layer":3},{"info":"compute unary expreesion, input=7198, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=7","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-10","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-10, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↩(↣≠⋷(≮⫘↔10101110110⪘⫢≮⫘↔10001100010)))∲⫓(≉≮⫘↔11001000110)⊴(≮⫘↔1000101011101⪘⫢≮⫘↔111100111111)⨓(↥(⪲⇎≮⫘↔111000001111))=NaN","reverse_text":"NaN=(↩(↣≠⋷(≮⫘↔10101110110⪘⫢≮⫘↔10001100010)))∲⫓(≉≮⫘↔11001000110)⊴(≮⫘↔1000101011101⪘⫢≮⫘↔111100111111)⨓(↥(⪲⇎≮⫘↔111000001111))","cot":[{"info":"≮⫘↔10101110110⪘⫢≮⫘↔10001100010=≮⫘↔101001110000","layer":3},{"info":"↣≠⋷≮⫘↔101001110000=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"≉≮⫘↔11001000110=≮⫘↔100001011001","layer":3},{"info":"≮⫘↔1000101011101⪘⫢≮⫘↔111100111111=≮⫘↔10001000111110","layer":3},{"info":"≮⫘↔100001011001⊴≮⫘↔10001000111110=NaN","layer":2},{"info":"⪲⇎≮⫘↔111000001111=≮⫘↔1110000011110","layer":3},{"info":"↥≮⫘↔1110000011110=≮⫘↔111","layer":2},{"info":"NaN⨓≮⫘↔111=≮⫘↔-1010","layer":1},{"info":"NaN∲⫓≮⫘↔-1010=NaN","layer":0}]}
{"id":924,"expression_no_base_symbol":"(⪝⪂⫅(($2014$⫸⊐$1894$)⨐⩸⫘($2259$%$3807$)))⫡⨏((⪲⇎$1784$)⋥≓≎$2846$⋝⋈⪟$2173$/(⨈⫕$2472$⪘⫢$2664$))","expression":"(⪝⪂⫅((≮⫘↔11111011110⫸⊐≮⫘↔11101100110)⨐⩸⫘(≮⫘↔100011010011%≮⫘↔111011011111)))⫡⨏((⪲⇎≮⫘↔11011111000)⋥≓≎≮⫘↔101100011110⋝⋈⪟≮⫘↔100001111101/(⨈⫕≮⫘↔100110101000⪘⫢≮⫘↔101001101000))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":549,"operation_count":11,"complexity_ratio":49.90909090909091,"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":2014,"base":2},"right_expr":{"type":"numeric_atoms","value":1894,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2259,"base":2},"right_expr":{"type":"numeric_atoms","value":3807,"base":2}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1784,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2846,"base":2},"right_expr":{"type":"numeric_atoms","value":2173,"base":2}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2472,"base":2},"right_expr":{"type":"numeric_atoms","value":2664,"base":2}}}}},"used_operators":["QMFrweE19q","XTarYq4gQB","fu6greOZ01","mqXw5SEYmG","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","XPYlsWDdGa","2DDjHMKMc0","megm06wKyl","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2014","layer":4},{"info":"number node, value=1894","layer":4},{"info":"compute binary expreesion, left_input=2014, right_input=1894, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7451","layer":3},{"info":"number node, value=2259","layer":4},{"info":"number node, value=3807","layer":4},{"info":"compute binary expreesion, left_input=2259, right_input=3807, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2259","layer":3},{"info":"compute binary expreesion, left_input=7451, right_input=2259, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"number node, value=1784","layer":4},{"info":"compute unary expreesion, input=1784, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3568","layer":3},{"info":"number node, value=2846","layer":4},{"info":"number node, value=2173","layer":4},{"info":"compute binary expreesion, left_input=2846, right_input=2173, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2846","layer":3},{"info":"compute binary expreesion, left_input=3568, right_input=2846, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2157","layer":2},{"info":"number node, value=2472","layer":4},{"info":"number node, value=2664","layer":4},{"info":"compute binary expreesion, left_input=2472, right_input=2664, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4820","layer":3},{"info":"compute unary expreesion, input=4820, 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=2157, right_input=-21, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-103","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-103, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⪝⪂⫅((≮⫘↔11111011110⫸⊐≮⫘↔11101100110)⨐⩸⫘(≮⫘↔100011010011%≮⫘↔111011011111)))⫡⨏((⪲⇎≮⫘↔11011111000)⋥≓≎≮⫘↔101100011110⋝⋈⪟≮⫘↔100001111101/(⨈⫕≮⫘↔100110101000⪘⫢≮⫘↔101001101000))=NaN","reverse_text":"NaN=(⪝⪂⫅((≮⫘↔11111011110⫸⊐≮⫘↔11101100110)⨐⩸⫘(≮⫘↔100011010011%≮⫘↔111011011111)))⫡⨏((⪲⇎≮⫘↔11011111000)⋥≓≎≮⫘↔101100011110⋝⋈⪟≮⫘↔100001111101/(⨈⫕≮⫘↔100110101000⪘⫢≮⫘↔101001101000))","cot":[{"info":"≮⫘↔11111011110⫸⊐≮⫘↔11101100110=≮⫘↔1110100011011","layer":3},{"info":"≮⫘↔100011010011%≮⫘↔111011011111=≮⫘↔100011010011","layer":3},{"info":"≮⫘↔1110100011011⨐⩸⫘≮⫘↔100011010011=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"⪲⇎≮⫘↔11011111000=≮⫘↔110111110000","layer":3},{"info":"≮⫘↔101100011110⋝⋈⪟≮⫘↔100001111101=≮⫘↔101100011110","layer":3},{"info":"≮⫘↔110111110000⋥≓≎≮⫘↔101100011110=≮⫘↔100001101101","layer":2},{"info":"≮⫘↔100110101000⪘⫢≮⫘↔101001101000=≮⫘↔1001011010100","layer":3},{"info":"⨈⫕≮⫘↔1001011010100=≮⫘↔-10101","layer":2},{"info":"≮⫘↔100001101101/≮⫘↔-10101=≮⫘↔-1100111","layer":1},{"info":"NaN⫡⨏≮⫘↔-1100111=NaN","layer":0}]}
{"id":925,"expression_no_base_symbol":"(($1242$⋥≓≎$7240$⨳⩥⨓($7646$⪨≂$3097$))⫌⩹⨱)⋳⪒($2523$⊉≛↸$5439$)↬($1010$⨐⩸⫘$1139$)∑⇟⊟(⩦⩻⨪($4318$⪒$6930$))","expression":"((≮⫘↔10011011010⋥≓≎≮⫘↔1110001001000⨳⩥⨓(≮⫘↔1110111011110⪨≂≮⫘↔110000011001))⫌⩹⨱)⋳⪒(≮⫘↔100111011011⊉≛↸≮⫘↔1010100111111)↬(≮⫘↔1111110010⨐⩸⫘≮⫘↔10001110011)∑⇟⊟(⩦⩻⨪(≮⫘↔1000011011110⪒≮⫘↔1101100010010))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":37,"operation_count":11,"complexity_ratio":3.3636363636363638,"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":1242,"base":2},"right_expr":{"type":"numeric_atoms","value":7240,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7646,"base":2},"right_expr":{"type":"numeric_atoms","value":3097,"base":2}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2523,"base":2},"right_expr":{"type":"numeric_atoms","value":5439,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1010,"base":2},"right_expr":{"type":"numeric_atoms","value":1139,"base":2}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4318,"base":2},"right_expr":{"type":"numeric_atoms","value":6930,"base":2}}}}},"used_operators":["12rbrZMWeM","EBcxylXtPf","nCS4ZIUYfx","Qy55tPpLXF","sdazOOVcIp","U7g4x0WXJJ","B5M0gjZbta","DZ8iAZOCBD","fu6greOZ01","2td37pGCOC","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1242","layer":4},{"info":"number node, value=7240","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=7240, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=13271","layer":3},{"info":"number node, value=7646","layer":4},{"info":"number node, value=3097","layer":4},{"info":"compute binary expreesion, left_input=7646, right_input=3097, 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=9200","layer":3},{"info":"compute binary expreesion, left_input=13271, right_input=9200, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4071","layer":2},{"info":"compute unary expreesion, input=-4071, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-6741","layer":1},{"info":"number node, value=2523","layer":4},{"info":"number node, value=5439","layer":4},{"info":"compute binary expreesion, left_input=2523, right_input=5439, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5046","layer":3},{"info":"number node, value=1010","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=1139, 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=5046, 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":2},{"info":"number node, value=4318","layer":4},{"info":"number node, value=6930","layer":4},{"info":"compute binary expreesion, left_input=4318, right_input=6930, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11248","layer":3},{"info":"compute unary expreesion, input=-11248, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-11248","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-11248, 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=-6741, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10011011010⋥≓≎≮⫘↔1110001001000⨳⩥⨓(≮⫘↔1110111011110⪨≂≮⫘↔110000011001))⫌⩹⨱)⋳⪒(≮⫘↔100111011011⊉≛↸≮⫘↔1010100111111)↬(≮⫘↔1111110010⨐⩸⫘≮⫘↔10001110011)∑⇟⊟(⩦⩻⨪(≮⫘↔1000011011110⪒≮⫘↔1101100010010))=NaN","reverse_text":"NaN=((≮⫘↔10011011010⋥≓≎≮⫘↔1110001001000⨳⩥⨓(≮⫘↔1110111011110⪨≂≮⫘↔110000011001))⫌⩹⨱)⋳⪒(≮⫘↔100111011011⊉≛↸≮⫘↔1010100111111)↬(≮⫘↔1111110010⨐⩸⫘≮⫘↔10001110011)∑⇟⊟(⩦⩻⨪(≮⫘↔1000011011110⪒≮⫘↔1101100010010))","cot":[{"info":"≮⫘↔10011011010⋥≓≎≮⫘↔1110001001000=≮⫘↔11001111010111","layer":3},{"info":"≮⫘↔1110111011110⪨≂≮⫘↔110000011001=≮⫘↔10001111110000","layer":3},{"info":"≮⫘↔11001111010111⨳⩥⨓≮⫘↔10001111110000=≮⫘↔-111111100111","layer":2},{"info":"≮⫘↔-111111100111⫌⩹⨱=≮⫘↔-1101001010101","layer":1},{"info":"≮⫘↔100111011011⊉≛↸≮⫘↔1010100111111=≮⫘↔1001110110110","layer":3},{"info":"≮⫘↔1111110010⨐⩸⫘≮⫘↔10001110011=NaN","layer":3},{"info":"≮⫘↔1001110110110↬NaN=NaN","layer":2},{"info":"≮⫘↔1000011011110⪒≮⫘↔1101100010010=≮⫘↔-10101111110000","layer":3},{"info":"⩦⩻⨪≮⫘↔-10101111110000=≮⫘↔-10101111110000","layer":2},{"info":"NaN∑⇟⊟≮⫘↔-10101111110000=NaN","layer":1},{"info":"≮⫘↔-1101001010101⋳⪒NaN=NaN","layer":0}]}
{"id":926,"expression_no_base_symbol":"⫛⫱⨽(((≦∁$1427$)↙$3022$∀⇚≩$1174$)⨓($6323$⋝⋈⪟$5074$⇼⇔∾$2420$↬$3689$))","expression":"⫛⫱⨽(((≦∁≮⫘↔10110010011)↙≮⫘↔101111001110∀⇚≩≮⫘↔10010010110)⨓(≮⫘↔1100010110011⋝⋈⪟≮⫘↔1001111010010⇼⇔∾≮⫘↔100101110100↬≮⫘↔111001101001))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":22084,"operation_count":8,"complexity_ratio":2760.5,"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":1427,"base":2}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3022,"base":2},"right_expr":{"type":"numeric_atoms","value":1174,"base":2}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6323,"base":2},"right_expr":{"type":"numeric_atoms","value":5074,"base":2}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2420,"base":2},"right_expr":{"type":"numeric_atoms","value":3689,"base":2}}}}},"used_operators":["DlLNRPXxWL","3ViojmjbAp","yyfyN0ffXY","9ICcGScMcE","LRNGc0VcxI","tifHPKVTfV","2DDjHMKMc0","B5M0gjZbta"],"dependent_operators":["rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=1427","layer":4},{"info":"compute unary expreesion, input=1427, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1427","layer":3},{"info":"number node, value=3022","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=3022, right_input=1174, 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=1427, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=6323","layer":4},{"info":"number node, value=5074","layer":4},{"info":"compute binary expreesion, left_input=6323, right_input=5074, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6323","layer":3},{"info":"number node, value=2420","layer":4},{"info":"number node, value=3689","layer":4},{"info":"compute binary expreesion, left_input=2420, right_input=3689, 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=6323, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⫛⫱⨽(((≦∁≮⫘↔10110010011)↙≮⫘↔101111001110∀⇚≩≮⫘↔10010010110)⨓(≮⫘↔1100010110011⋝⋈⪟≮⫘↔1001111010010⇼⇔∾≮⫘↔100101110100↬≮⫘↔111001101001))=NaN","reverse_text":"NaN=⫛⫱⨽(((≦∁≮⫘↔10110010011)↙≮⫘↔101111001110∀⇚≩≮⫘↔10010010110)⨓(≮⫘↔1100010110011⋝⋈⪟≮⫘↔1001111010010⇼⇔∾≮⫘↔100101110100↬≮⫘↔111001101001))","cot":[{"info":"≦∁≮⫘↔10110010011=≮⫘↔10110010011","layer":3},{"info":"≮⫘↔101111001110∀⇚≩≮⫘↔10010010110=NaN","layer":3},{"info":"≮⫘↔10110010011↙NaN=NaN","layer":2},{"info":"≮⫘↔1100010110011⋝⋈⪟≮⫘↔1001111010010=≮⫘↔1100010110011","layer":3},{"info":"≮⫘↔100101110100↬≮⫘↔111001101001=NaN","layer":3},{"info":"≮⫘↔1100010110011⇼⇔∾NaN=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":927,"expression_no_base_symbol":"⩦⩻⨪((($2421$⫡⨏$8933$)⨸⪁$1289$⋝⋈⪟$6508$)⪄$7620$⋝⋈⪟$4462$⨐⩸⫘$1694$≧⫂∧$5944$)","expression":"⩦⩻⨪(((≮⫘↔100101110101⫡⨏≮⫘↔10001011100101)⨸⪁≮⫘↔10100001001⋝⋈⪟≮⫘↔1100101101100)⪄≮⫘↔1110111000100⋝⋈⪟≮⫘↔1000101101110⨐⩸⫘≮⫘↔11010011110≧⫂∧≮⫘↔1011100111000)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":115,"operation_count":8,"complexity_ratio":14.375,"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":2421,"base":2},"right_expr":{"type":"numeric_atoms","value":8933,"base":2}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1289,"base":2},"right_expr":{"type":"numeric_atoms","value":6508,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7620,"base":2},"right_expr":{"type":"numeric_atoms","value":4462,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1694,"base":2},"right_expr":{"type":"numeric_atoms","value":5944,"base":2}}}}},"used_operators":["2td37pGCOC","SUmda5xLS4","g55IO6H4Gj","QMFrweE19q","2DDjHMKMc0","fu6greOZ01","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2421","layer":4},{"info":"number node, value=8933","layer":4},{"info":"compute binary expreesion, left_input=2421, right_input=8933, 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=30754","layer":3},{"info":"number node, value=1289","layer":4},{"info":"number node, value=6508","layer":4},{"info":"compute binary expreesion, left_input=1289, right_input=6508, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1289","layer":3},{"info":"compute binary expreesion, left_input=30754, right_input=1289, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=64086","layer":2},{"info":"number node, value=7620","layer":4},{"info":"number node, value=4462","layer":4},{"info":"compute binary expreesion, left_input=7620, right_input=4462, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7620","layer":3},{"info":"number node, value=1694","layer":4},{"info":"number node, value=5944","layer":4},{"info":"compute binary expreesion, left_input=1694, right_input=5944, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5471","layer":3},{"info":"compute binary expreesion, left_input=7620, right_input=5471, 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=64086, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⩦⩻⨪(((≮⫘↔100101110101⫡⨏≮⫘↔10001011100101)⨸⪁≮⫘↔10100001001⋝⋈⪟≮⫘↔1100101101100)⪄≮⫘↔1110111000100⋝⋈⪟≮⫘↔1000101101110⨐⩸⫘≮⫘↔11010011110≧⫂∧≮⫘↔1011100111000)=NaN","reverse_text":"NaN=⩦⩻⨪(((≮⫘↔100101110101⫡⨏≮⫘↔10001011100101)⨸⪁≮⫘↔10100001001⋝⋈⪟≮⫘↔1100101101100)⪄≮⫘↔1110111000100⋝⋈⪟≮⫘↔1000101101110⨐⩸⫘≮⫘↔11010011110≧⫂∧≮⫘↔1011100111000)","cot":[{"info":"≮⫘↔100101110101⫡⨏≮⫘↔10001011100101=≮⫘↔111100000100010","layer":3},{"info":"≮⫘↔10100001001⋝⋈⪟≮⫘↔1100101101100=≮⫘↔10100001001","layer":3},{"info":"≮⫘↔111100000100010⨸⪁≮⫘↔10100001001=≮⫘↔1111101001010110","layer":2},{"info":"≮⫘↔1110111000100⋝⋈⪟≮⫘↔1000101101110=≮⫘↔1110111000100","layer":3},{"info":"≮⫘↔11010011110≧⫂∧≮⫘↔1011100111000=≮⫘↔1010101011111","layer":3},{"info":"≮⫘↔1110111000100⨐⩸⫘≮⫘↔1010101011111=NaN","layer":2},{"info":"≮⫘↔1111101001010110⪄NaN=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":928,"expression_no_base_symbol":"(⊥(($1761$*$1890$)⫩⊇))⋥≓≎(($3656$%$1626$)+⇶⊼($4678$⫥∨⫟$6987$))⨟⋌⩍(⨰⫟⨤$2092$↬$8966$)","expression":"(⊥((≮⫘↔11011100001*≮⫘↔11101100010)⫩⊇))⋥≓≎((≮⫘↔111001001000%≮⫘↔11001011010)+⇶⊼(≮⫘↔1001001000110⫥∨⫟≮⫘↔1101101001011))⨟⋌⩍(⨰⫟⨤≮⫘↔100000101100↬≮⫘↔10001100000110)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1954,"operation_count":10,"complexity_ratio":195.4,"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":1761,"base":2},"right_expr":{"type":"numeric_atoms","value":1890,"base":2}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3656,"base":2},"right_expr":{"type":"numeric_atoms","value":1626,"base":2}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4678,"base":2},"right_expr":{"type":"numeric_atoms","value":6987,"base":2}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2092,"base":2},"right_expr":{"type":"numeric_atoms","value":8966,"base":2}}}}},"used_operators":["Qy55tPpLXF","Q3PJZHRvZv","BjRHVeLaeN","9HNa5Wba9A","rGHVDoGpnC","TpPTUOHfaN","k8jYdgA6NY","KYD54nUTWz","Tw270M8GLb","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Tcnh7f0tEr","AHs5Up7iyr","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC"],"result":"≮⫘↔1000011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1761","layer":4},{"info":"number node, value=1890","layer":4},{"info":"compute binary expreesion, left_input=1761, right_input=1890, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3328290","layer":3},{"info":"compute unary expreesion, input=3328290, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3328248","layer":2},{"info":"compute unary expreesion, input=-3328248, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=3656","layer":4},{"info":"number node, value=1626","layer":4},{"info":"compute binary expreesion, left_input=3656, right_input=1626, op_id = k8jYdgA6NY binary_op_definition= 'None', output=404","layer":3},{"info":"number node, value=4678","layer":4},{"info":"number node, value=6987","layer":4},{"info":"compute binary expreesion, left_input=4678, right_input=6987, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=404, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2092","layer":4},{"info":"number node, value=8966","layer":4},{"info":"compute binary expreesion, left_input=2092, right_input=8966, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":2,"result_base":2,"text":"(⊥((≮⫘↔11011100001*≮⫘↔11101100010)⫩⊇))⋥≓≎((≮⫘↔111001001000%≮⫘↔11001011010)+⇶⊼(≮⫘↔1001001000110⫥∨⫟≮⫘↔1101101001011))⨟⋌⩍(⨰⫟⨤≮⫘↔100000101100↬≮⫘↔10001100000110)=≮⫘↔1000011","reverse_text":"≮⫘↔1000011=(⊥((≮⫘↔11011100001*≮⫘↔11101100010)⫩⊇))⋥≓≎((≮⫘↔111001001000%≮⫘↔11001011010)+⇶⊼(≮⫘↔1001001000110⫥∨⫟≮⫘↔1101101001011))⨟⋌⩍(⨰⫟⨤≮⫘↔100000101100↬≮⫘↔10001100000110)","cot":[{"info":"≮⫘↔11011100001*≮⫘↔11101100010=≮⫘↔1100101100100100100010","layer":3},{"info":"≮⫘↔1100101100100100100010⫩⊇=≮⫘↔-1100101100100011111000","layer":2},{"info":"⊥≮⫘↔-1100101100100011111000=NaN","layer":1},{"info":"≮⫘↔111001001000%≮⫘↔11001011010=≮⫘↔110010100","layer":3},{"info":"≮⫘↔1001001000110⫥∨⫟≮⫘↔1101101001011=NaN","layer":3},{"info":"≮⫘↔110010100+⇶⊼NaN=NaN","layer":2},{"info":"≮⫘↔100000101100↬≮⫘↔10001100000110=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"NaN⋥≓≎NaN=≮⫘↔1000011","layer":0}]}
{"id":929,"expression_no_base_symbol":"(((⫓⪴$1687$)⨐⩸⫘(⨞⊢$1015$))⨪↰⇹(($5921$⪒$2597$)⨓($5700$⨰$1068$)))⩠","expression":"(((⫓⪴≮⫘↔11010010111)⨐⩸⫘(⨞⊢≮⫘↔1111110111))⨪↰⇹((≮⫘↔1011100100001⪒≮⫘↔101000100101)⨓(≮⫘↔1011001000100⨰≮⫘↔10000101100)))⩠","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6366,"operation_count":8,"complexity_ratio":795.75,"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":1687,"base":2}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1015,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5921,"base":2},"right_expr":{"type":"numeric_atoms","value":2597,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5700,"base":2},"right_expr":{"type":"numeric_atoms","value":1068,"base":2}}}}},"used_operators":["sJAwomhLZr","tmPS8pqC7x","fu6greOZ01","eLxqMNBOBk","xUOZtlo3hN","3ViojmjbAp","f6k1SAg4EE","eewbuw0ToL"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rJVOvQCfKK","3ViojmjbAp","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1687","layer":4},{"info":"compute unary expreesion, input=1687, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2845969","layer":3},{"info":"number node, value=1015","layer":4},{"info":"compute unary expreesion, input=1015, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1189","layer":3},{"info":"compute binary expreesion, left_input=2845969, right_input=-1189, 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=5921","layer":4},{"info":"number node, value=2597","layer":4},{"info":"compute binary expreesion, left_input=5921, right_input=2597, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8518","layer":3},{"info":"number node, value=5700","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=5700, right_input=1068, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4642","layer":3},{"info":"compute binary expreesion, left_input=-8518, right_input=4642, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4645","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4645, 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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((⫓⪴≮⫘↔11010010111)⨐⩸⫘(⨞⊢≮⫘↔1111110111))⨪↰⇹((≮⫘↔1011100100001⪒≮⫘↔101000100101)⨓(≮⫘↔1011001000100⨰≮⫘↔10000101100)))⩠=NaN","reverse_text":"NaN=(((⫓⪴≮⫘↔11010010111)⨐⩸⫘(⨞⊢≮⫘↔1111110111))⨪↰⇹((≮⫘↔1011100100001⪒≮⫘↔101000100101)⨓(≮⫘↔1011001000100⨰≮⫘↔10000101100)))⩠","cot":[{"info":"⫓⪴≮⫘↔11010010111=≮⫘↔1010110110110100010001","layer":3},{"info":"⨞⊢≮⫘↔1111110111=≮⫘↔-10010100101","layer":3},{"info":"≮⫘↔1010110110110100010001⨐⩸⫘≮⫘↔-10010100101=NaN","layer":2},{"info":"≮⫘↔1011100100001⪒≮⫘↔101000100101=≮⫘↔-10000101000110","layer":3},{"info":"≮⫘↔1011001000100⨰≮⫘↔10000101100=≮⫘↔1001000100010","layer":3},{"info":"≮⫘↔-10000101000110⨓≮⫘↔1001000100010=≮⫘↔-1001000100101","layer":2},{"info":"NaN⨪↰⇹≮⫘↔-1001000100101=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
{"id":930,"expression_no_base_symbol":"(($1163$⨸⪁$2700$⫡⨏$2327$⨳⩥⨓$6702$)⪒(⪝⪂⫅$1104$)⪘⫢(⪲⇎$1300$))⨐⩸⫘((⪲⇎$5672$)-($2910$⨵⪆$3778$))∀⇚≩($8314$≭$2326$⊉≛↸(↩$4422$))","expression":"((≮⫘↔10010001011⨸⪁≮⫘↔101010001100⫡⨏≮⫘↔100100010111⨳⩥⨓≮⫘↔1101000101110)⪒(⪝⪂⫅≮⫘↔10001010000)⪘⫢(⪲⇎≮⫘↔10100010100))⨐⩸⫘((⪲⇎≮⫘↔1011000101000)-(≮⫘↔101101011110⨵⪆≮⫘↔111011000010))∀⇚≩(≮⫘↔10000001111010≭≮⫘↔100100010110⊉≛↸(↩≮⫘↔1000101000110))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":78489,"operation_count":15,"complexity_ratio":5232.6,"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":1163,"base":2},"right_expr":{"type":"numeric_atoms","value":2700,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2327,"base":2},"right_expr":{"type":"numeric_atoms","value":6702,"base":2}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1104,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1300,"base":2}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5672,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2910,"base":2},"right_expr":{"type":"numeric_atoms","value":3778,"base":2}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":8314,"base":2},"right_expr":{"type":"numeric_atoms","value":2326,"base":2}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4422,"base":2}}}}},"used_operators":["fu6greOZ01","f6k1SAg4EE","QMFrweE19q","g55IO6H4Gj","nCS4ZIUYfx","oacrs7FA3X","XTarYq4gQB","XPYlsWDdGa","LRNGc0VcxI","rysDP5nf3Z","2DQ55sFlQl","DZ8iAZOCBD","rxpJgHHUmx","jLgFTUHLKL"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1163","layer":4},{"info":"number node, value=2700","layer":4},{"info":"compute binary expreesion, left_input=1163, right_input=2700, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7726","layer":3},{"info":"number node, value=2327","layer":4},{"info":"number node, value=6702","layer":4},{"info":"compute binary expreesion, left_input=2327, right_input=6702, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4375","layer":3},{"info":"compute binary expreesion, left_input=7726, right_input=4375, 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=48163","layer":2},{"info":"number node, value=1104","layer":4},{"info":"compute unary expreesion, input=1104, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-162288","layer":3},{"info":"number node, value=1300","layer":4},{"info":"compute unary expreesion, input=1300, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2600","layer":3},{"info":"compute binary expreesion, left_input=-162288, right_input=2600, 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=48163, right_input=-1, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-48162","layer":1},{"info":"number node, value=5672","layer":4},{"info":"compute unary expreesion, input=5672, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=11344","layer":3},{"info":"number node, value=2910","layer":4},{"info":"number node, value=3778","layer":4},{"info":"compute binary expreesion, left_input=2910, right_input=3778, 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=11344, right_input=160, op_id = rysDP5nf3Z binary_op_definition= 'None', output=11184","layer":2},{"info":"number node, value=8314","layer":4},{"info":"number node, value=2326","layer":4},{"info":"compute binary expreesion, left_input=8314, right_input=2326, 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=4422","layer":4},{"info":"compute unary expreesion, input=4422, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-32596","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-32596, 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=11184, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-48162, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10010001011⨸⪁≮⫘↔101010001100⫡⨏≮⫘↔100100010111⨳⩥⨓≮⫘↔1101000101110)⪒(⪝⪂⫅≮⫘↔10001010000)⪘⫢(⪲⇎≮⫘↔10100010100))⨐⩸⫘((⪲⇎≮⫘↔1011000101000)-(≮⫘↔101101011110⨵⪆≮⫘↔111011000010))∀⇚≩(≮⫘↔10000001111010≭≮⫘↔100100010110⊉≛↸(↩≮⫘↔1000101000110))=NaN","reverse_text":"NaN=((≮⫘↔10010001011⨸⪁≮⫘↔101010001100⫡⨏≮⫘↔100100010111⨳⩥⨓≮⫘↔1101000101110)⪒(⪝⪂⫅≮⫘↔10001010000)⪘⫢(⪲⇎≮⫘↔10100010100))⨐⩸⫘((⪲⇎≮⫘↔1011000101000)-(≮⫘↔101101011110⨵⪆≮⫘↔111011000010))∀⇚≩(≮⫘↔10000001111010≭≮⫘↔100100010110⊉≛↸(↩≮⫘↔1000101000110))","cot":[{"info":"≮⫘↔10010001011⨸⪁≮⫘↔101010001100=≮⫘↔1111000101110","layer":3},{"info":"≮⫘↔100100010111⨳⩥⨓≮⫘↔1101000101110=≮⫘↔1000100010111","layer":3},{"info":"≮⫘↔1111000101110⫡⨏≮⫘↔1000100010111=≮⫘↔1011110000100011","layer":2},{"info":"⪝⪂⫅≮⫘↔10001010000=≮⫘↔-100111100111110000","layer":3},{"info":"⪲⇎≮⫘↔10100010100=≮⫘↔101000101000","layer":3},{"info":"≮⫘↔-100111100111110000⪘⫢≮⫘↔101000101000=≮⫘↔-1","layer":2},{"info":"≮⫘↔1011110000100011⪒≮⫘↔-1=≮⫘↔-1011110000100010","layer":1},{"info":"⪲⇎≮⫘↔1011000101000=≮⫘↔10110001010000","layer":3},{"info":"≮⫘↔101101011110⨵⪆≮⫘↔111011000010=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10110001010000-≮⫘↔10100000=≮⫘↔10101110110000","layer":2},{"info":"≮⫘↔10000001111010≭≮⫘↔100100010110=NaN","layer":3},{"info":"↩≮⫘↔1000101000110=≮⫘↔-111111101010100","layer":3},{"info":"NaN⊉≛↸≮⫘↔-111111101010100=NaN","layer":2},{"info":"≮⫘↔10101110110000∀⇚≩NaN=NaN","layer":1},{"info":"≮⫘↔-1011110000100010⨐⩸⫘NaN=NaN","layer":0}]}
{"id":931,"expression_no_base_symbol":"($5141$⋳⪒$3939$)⋝⋈⪟($7214$⪨≂$3566$)⊭↱$1409$⨪↰⇹$1073$⫥∨⫟($1431$⊦⊿)⪒(($2391$∀⇚≩$8155$)≹⇙⪍($1336$-$1855$)+($2910$⊭↱$4899$↛⩡⫤))","expression":"(≮⫘↔1010000010101⋳⪒≮⫘↔111101100011)⋝⋈⪟(≮⫘↔1110000101110⪨≂≮⫘↔110111101110)⊭↱≮⫘↔10110000001⨪↰⇹≮⫘↔10000110001⫥∨⫟(≮⫘↔10110010111⊦⊿)⪒((≮⫘↔100101010111∀⇚≩≮⫘↔1111111011011)≹⇙⪍(≮⫘↔10100111000-≮⫘↔11100111111)+(≮⫘↔101101011110⊭↱≮⫘↔1001100100011↛⩡⫤))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":299782,"operation_count":14,"complexity_ratio":21413.0,"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":5141,"base":2},"right_expr":{"type":"numeric_atoms","value":3939,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7214,"base":2},"right_expr":{"type":"numeric_atoms","value":3566,"base":2}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1409,"base":2},"right_expr":{"type":"numeric_atoms","value":1073,"base":2}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1431,"base":2}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2391,"base":2},"right_expr":{"type":"numeric_atoms","value":8155,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1336,"base":2},"right_expr":{"type":"numeric_atoms","value":1855,"base":2}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2910,"base":2},"right_expr":{"type":"numeric_atoms","value":4899,"base":2}}}}},"used_operators":["f6k1SAg4EE","COABgblf1C","2DDjHMKMc0","12rbrZMWeM","sdazOOVcIp","KYD54nUTWz","tmPS8pqC7x","14qkJME0vr","W4YGzv6Whe","AHs5Up7iyr","LRNGc0VcxI","rysDP5nf3Z","FU0Cs4j7VP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","X99M06cbEe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5141","layer":4},{"info":"number node, value=3939","layer":4},{"info":"compute binary expreesion, left_input=5141, right_input=3939, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6056","layer":3},{"info":"number node, value=7214","layer":4},{"info":"number node, value=3566","layer":4},{"info":"compute binary expreesion, left_input=7214, right_input=3566, 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=7398","layer":3},{"info":"compute binary expreesion, left_input=6056, right_input=7398, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6056","layer":2},{"info":"number node, value=1409","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=1073, 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=1409","layer":3},{"info":"number node, value=1431","layer":4},{"info":"compute unary expreesion, input=1431, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4372","layer":3},{"info":"compute binary expreesion, left_input=1409, right_input=-4372, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6056, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=2391","layer":4},{"info":"number node, value=8155","layer":4},{"info":"compute binary expreesion, left_input=2391, right_input=8155, 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=1336","layer":4},{"info":"number node, value=1855","layer":4},{"info":"compute binary expreesion, left_input=1336, right_input=1855, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-519","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-519, 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=2910","layer":4},{"info":"number node, value=4899","layer":4},{"info":"compute binary expreesion, left_input=2910, right_input=4899, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3983","layer":3},{"info":"compute unary expreesion, input=3983, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-597522","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-597522, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1010000010101⋳⪒≮⫘↔111101100011)⋝⋈⪟(≮⫘↔1110000101110⪨≂≮⫘↔110111101110)⊭↱≮⫘↔10110000001⨪↰⇹≮⫘↔10000110001⫥∨⫟(≮⫘↔10110010111⊦⊿)⪒((≮⫘↔100101010111∀⇚≩≮⫘↔1111111011011)≹⇙⪍(≮⫘↔10100111000-≮⫘↔11100111111)+(≮⫘↔101101011110⊭↱≮⫘↔1001100100011↛⩡⫤))=NaN","reverse_text":"NaN=(≮⫘↔1010000010101⋳⪒≮⫘↔111101100011)⋝⋈⪟(≮⫘↔1110000101110⪨≂≮⫘↔110111101110)⊭↱≮⫘↔10110000001⨪↰⇹≮⫘↔10000110001⫥∨⫟(≮⫘↔10110010111⊦⊿)⪒((≮⫘↔100101010111∀⇚≩≮⫘↔1111111011011)≹⇙⪍(≮⫘↔10100111000-≮⫘↔11100111111)+(≮⫘↔101101011110⊭↱≮⫘↔1001100100011↛⩡⫤))","cot":[{"info":"≮⫘↔1010000010101⋳⪒≮⫘↔111101100011=≮⫘↔1011110101000","layer":3},{"info":"≮⫘↔1110000101110⪨≂≮⫘↔110111101110=≮⫘↔1110011100110","layer":3},{"info":"≮⫘↔1011110101000⋝⋈⪟≮⫘↔1110011100110=≮⫘↔1011110101000","layer":2},{"info":"≮⫘↔10110000001⨪↰⇹≮⫘↔10000110001=≮⫘↔10110000001","layer":3},{"info":"≮⫘↔10110010111⊦⊿=≮⫘↔-1000100010100","layer":3},{"info":"≮⫘↔10110000001⫥∨⫟≮⫘↔-1000100010100=NaN","layer":2},{"info":"≮⫘↔1011110101000⊭↱NaN=NaN","layer":1},{"info":"≮⫘↔100101010111∀⇚≩≮⫘↔1111111011011=NaN","layer":3},{"info":"≮⫘↔10100111000-≮⫘↔11100111111=≮⫘↔-1000000111","layer":3},{"info":"NaN≹⇙⪍≮⫘↔-1000000111=NaN","layer":2},{"info":"≮⫘↔101101011110⊭↱≮⫘↔1001100100011=≮⫘↔111110001111","layer":3},{"info":"≮⫘↔111110001111↛⩡⫤=≮⫘↔-10010001111000010010","layer":2},{"info":"NaN+≮⫘↔-10010001111000010010=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":932,"expression_no_base_symbol":"(⨞⊢(($2880$≣⋋)⊪))⫡⨏($1085$⨽$3891$)⪢($1254$↛⩡⫤)⫥∨⫟(⪲⇎($7285$+$3176$))","expression":"(⨞⊢((≮⫘↔101101000000≣⋋)⊪))⫡⨏(≮⫘↔10000111101⨽≮⫘↔111100110011)⪢(≮⫘↔10011100110↛⩡⫤)⫥∨⫟(⪲⇎(≮⫘↔1110001110101+≮⫘↔110001101000))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1053139,"operation_count":10,"complexity_ratio":105313.9,"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":2880,"base":2}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1085,"base":2},"right_expr":{"type":"numeric_atoms","value":3891,"base":2}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1254,"base":2}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7285,"base":2},"right_expr":{"type":"numeric_atoms","value":3176,"base":2}}}}},"used_operators":["QMFrweE19q","xUOZtlo3hN","zVYPLywUTj","Tcnh7f0tEr","KYD54nUTWz","dWAJyo7jo9","8HhzD0ZcuI","FU0Cs4j7VP","XPYlsWDdGa","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2880","layer":4},{"info":"compute unary expreesion, input=2880, 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 = 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":"compute unary expreesion, input=0, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":1},{"info":"number node, value=1085","layer":4},{"info":"number node, value=3891","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=3891, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3542034","layer":3},{"info":"number node, value=1254","layer":4},{"info":"compute unary expreesion, input=1254, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-185443","layer":3},{"info":"compute binary expreesion, left_input=-3542034, right_input=-185443, 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=7285","layer":4},{"info":"number node, value=3176","layer":4},{"info":"compute binary expreesion, left_input=7285, right_input=3176, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10461","layer":3},{"info":"compute unary expreesion, input=10461, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=20922","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=20922, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⨞⊢((≮⫘↔101101000000≣⋋)⊪))⫡⨏(≮⫘↔10000111101⨽≮⫘↔111100110011)⪢(≮⫘↔10011100110↛⩡⫤)⫥∨⫟(⪲⇎(≮⫘↔1110001110101+≮⫘↔110001101000))=NaN","reverse_text":"NaN=(⨞⊢((≮⫘↔101101000000≣⋋)⊪))⫡⨏(≮⫘↔10000111101⨽≮⫘↔111100110011)⪢(≮⫘↔10011100110↛⩡⫤)⫥∨⫟(⪲⇎(≮⫘↔1110001110101+≮⫘↔110001101000))","cot":[{"info":"≮⫘↔101101000000≣⋋=≮⫘↔0","layer":3},{"info":"≮⫘↔0⊪=≮⫘↔0","layer":2},{"info":"⨞⊢≮⫘↔0=≮⫘↔-10101110","layer":1},{"info":"≮⫘↔10000111101⨽≮⫘↔111100110011=≮⫘↔-1101100000110000010010","layer":3},{"info":"≮⫘↔10011100110↛⩡⫤=≮⫘↔-101101010001100011","layer":3},{"info":"≮⫘↔-1101100000110000010010⪢≮⫘↔-101101010001100011=NaN","layer":2},{"info":"≮⫘↔1110001110101+≮⫘↔110001101000=≮⫘↔10100011011101","layer":3},{"info":"⪲⇎≮⫘↔10100011011101=≮⫘↔101000110111010","layer":2},{"info":"NaN⫥∨⫟≮⫘↔101000110111010=NaN","layer":1},{"info":"≮⫘↔-10101110⫡⨏NaN=NaN","layer":0}]}
{"id":933,"expression_no_base_symbol":"(⨑⩽⪐(↽≂($5504$⫌⩹⨱)))⇋≉","expression":"(⨑⩽⪐(↽≂(≮⫘↔1010110000000⫌⩹⨱)))⇋≉","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20,"operation_count":4,"complexity_ratio":5.0,"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":5504,"base":2}}}}},"used_operators":["XIabStNQrY","AF7qkfDlqP","u6S6b8DprG","EBcxylXtPf"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"≮⫘↔11000100110010000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5504","layer":4},{"info":"compute unary expreesion, input=5504, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=12409","layer":3},{"info":"compute unary expreesion, input=12409, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-24818","layer":2},{"info":"compute unary expreesion, input=-24818, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=50425","layer":1},{"info":"compute unary expreesion, input=50425, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=100752","layer":0}],"base":2,"result_base":2,"text":"(⨑⩽⪐(↽≂(≮⫘↔1010110000000⫌⩹⨱)))⇋≉=≮⫘↔11000100110010000","reverse_text":"≮⫘↔11000100110010000=(⨑⩽⪐(↽≂(≮⫘↔1010110000000⫌⩹⨱)))⇋≉","cot":[{"info":"≮⫘↔1010110000000⫌⩹⨱=≮⫘↔11000001111001","layer":3},{"info":"↽≂≮⫘↔11000001111001=≮⫘↔-110000011110010","layer":2},{"info":"⨑⩽⪐≮⫘↔-110000011110010=≮⫘↔1100010011111001","layer":1},{"info":"≮⫘↔1100010011111001⇋≉=≮⫘↔11000100110010000","layer":0}]}
{"id":934,"expression_no_base_symbol":"(($2498$⪄$6668$)⩚⊴⇥$1814$⋓$2646$⪨≂($4737$↙$5171$↪⪝))⪄(⊄⩳↩($4968$⨳⩥⨓$4592$)⪢($1643$∲⫓$1918$))","expression":"((≮⫘↔100111000010⪄≮⫘↔1101000001100)⩚⊴⇥≮⫘↔11100010110⋓≮⫘↔101001010110⪨≂(≮⫘↔1001010000001↙≮⫘↔1010000110011↪⪝))⪄(⊄⩳↩(≮⫘↔1001101101000⨳⩥⨓≮⫘↔1000111110000)⪢(≮⫘↔11001101011∲⫓≮⫘↔11101111110))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6094,"operation_count":11,"complexity_ratio":554.0,"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":2498,"base":2},"right_expr":{"type":"numeric_atoms","value":6668,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1814,"base":2},"right_expr":{"type":"numeric_atoms","value":2646,"base":2}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4737,"base":2},"right_expr":{"type":"numeric_atoms","value":5171,"base":2}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4968,"base":2},"right_expr":{"type":"numeric_atoms","value":4592,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1643,"base":2},"right_expr":{"type":"numeric_atoms","value":1918,"base":2}}}}},"used_operators":["SUmda5xLS4","sdazOOVcIp","NTOWxs364D","T2fj7uvVaJ","l07mrZUIn9","yyfyN0ffXY","8w2t5hMYqp","dWAJyo7jo9","nCS4ZIUYfx","i8ToyICDmI"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","2DDjHMKMc0","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"-Inf","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2498","layer":4},{"info":"number node, value=6668","layer":4},{"info":"compute binary expreesion, left_input=2498, right_input=6668, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-392465","layer":3},{"info":"number node, value=1814","layer":4},{"info":"number node, value=2646","layer":4},{"info":"compute binary expreesion, left_input=1814, right_input=2646, 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=-392465, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=392344","layer":2},{"info":"number node, value=4737","layer":4},{"info":"number node, value=5171","layer":4},{"info":"compute binary expreesion, left_input=4737, right_input=5171, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15513","layer":3},{"info":"compute unary expreesion, input=-15513, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-949116366","layer":2},{"info":"compute binary expreesion, left_input=392344, right_input=-949116366, 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=1899017522","layer":1},{"info":"number node, value=4968","layer":4},{"info":"number node, value=4592","layer":4},{"info":"compute binary expreesion, left_input=4968, right_input=4592, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-376","layer":3},{"info":"number node, value=1643","layer":4},{"info":"number node, value=1918","layer":4},{"info":"compute binary expreesion, left_input=1643, right_input=1918, 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=-376, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1899017522, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-inf","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100111000010⪄≮⫘↔1101000001100)⩚⊴⇥≮⫘↔11100010110⋓≮⫘↔101001010110⪨≂(≮⫘↔1001010000001↙≮⫘↔1010000110011↪⪝))⪄(⊄⩳↩(≮⫘↔1001101101000⨳⩥⨓≮⫘↔1000111110000)⪢(≮⫘↔11001101011∲⫓≮⫘↔11101111110))=-Inf","reverse_text":"-Inf=((≮⫘↔100111000010⪄≮⫘↔1101000001100)⩚⊴⇥≮⫘↔11100010110⋓≮⫘↔101001010110⪨≂(≮⫘↔1001010000001↙≮⫘↔1010000110011↪⪝))⪄(⊄⩳↩(≮⫘↔1001101101000⨳⩥⨓≮⫘↔1000111110000)⪢(≮⫘↔11001101011∲⫓≮⫘↔11101111110))","cot":[{"info":"≮⫘↔100111000010⪄≮⫘↔1101000001100=≮⫘↔-1011111110100010001","layer":3},{"info":"≮⫘↔11100010110⋓≮⫘↔101001010110=≮⫘↔0","layer":3},{"info":"≮⫘↔-1011111110100010001⩚⊴⇥≮⫘↔0=≮⫘↔1011111110010011000","layer":2},{"info":"≮⫘↔1001010000001↙≮⫘↔1010000110011=≮⫘↔-11110010011001","layer":3},{"info":"≮⫘↔-11110010011001↪⪝=≮⫘↔-111000100100100101110111001110","layer":2},{"info":"≮⫘↔1011111110010011000⪨≂≮⫘↔-111000100100100101110111001110=≮⫘↔1110001001100001011010100110010","layer":1},{"info":"≮⫘↔1001101101000⨳⩥⨓≮⫘↔1000111110000=≮⫘↔-101111000","layer":3},{"info":"≮⫘↔11001101011∲⫓≮⫘↔11101111110=≮⫘↔0","layer":3},{"info":"≮⫘↔-101111000⪢≮⫘↔0=≮⫘↔0","layer":2},{"info":"⊄⩳↩≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔1110001001100001011010100110010⪄≮⫘↔0=-Inf","layer":0}]}
{"id":935,"expression_no_base_symbol":"((($2663$⊠≄⫣)⋳⪒($2835$*$2312$))⇋≉)∲⫓((-$5957$)⊠≄⫣)∲⫓$8294$⊴$2370$≧⫂∧($6277$⪐)","expression":"(((≮⫘↔101001100111⊠≄⫣)⋳⪒(≮⫘↔101100010011*≮⫘↔100100001000))⇋≉)∲⫓((-≮⫘↔1011101000101)⊠≄⫣)∲⫓≮⫘↔10000001100110⊴≮⫘↔100101000010≧⫂∧(≮⫘↔1100010000101⪐)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10246,"operation_count":11,"complexity_ratio":931.4545454545455,"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":2663,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2835,"base":2},"right_expr":{"type":"numeric_atoms","value":2312,"base":2}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5957,"base":2}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":8294,"base":2},"right_expr":{"type":"numeric_atoms","value":2370,"base":2}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":6277,"base":2}}}}},"used_operators":["i8ToyICDmI","XIabStNQrY","12rbrZMWeM","DIvbN7qnHd","9HNa5Wba9A","t8gj7n24qd","Ph9nP6C5qx","Nsiff2A1zJ","eH2TOUuTDT"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-110010000000100111010000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2663","layer":4},{"info":"compute unary expreesion, input=2663, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=2835","layer":4},{"info":"number node, value=2312","layer":4},{"info":"compute binary expreesion, left_input=2835, right_input=2312, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6554520","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6554520, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-6554807","layer":2},{"info":"compute unary expreesion, input=-6554807, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-13109712","layer":1},{"info":"number node, value=5957","layer":4},{"info":"compute unary expreesion, input=5957, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5957","layer":3},{"info":"compute unary expreesion, input=-5957, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=8294","layer":4},{"info":"number node, value=2370","layer":4},{"info":"compute binary expreesion, left_input=8294, right_input=2370, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=6277","layer":4},{"info":"compute unary expreesion, input=6277, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=12554","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12554, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=12081","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=12081, 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=-13109712, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-13109712","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔101001100111⊠≄⫣)⋳⪒(≮⫘↔101100010011*≮⫘↔100100001000))⇋≉)∲⫓((-≮⫘↔1011101000101)⊠≄⫣)∲⫓≮⫘↔10000001100110⊴≮⫘↔100101000010≧⫂∧(≮⫘↔1100010000101⪐)=≮⫘↔-110010000000100111010000","reverse_text":"≮⫘↔-110010000000100111010000=(((≮⫘↔101001100111⊠≄⫣)⋳⪒(≮⫘↔101100010011*≮⫘↔100100001000))⇋≉)∲⫓((-≮⫘↔1011101000101)⊠≄⫣)∲⫓≮⫘↔10000001100110⊴≮⫘↔100101000010≧⫂∧(≮⫘↔1100010000101⪐)","cot":[{"info":"≮⫘↔101001100111⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔101100010011*≮⫘↔100100001000=≮⫘↔11001000000001110011000","layer":3},{"info":"≮⫘↔0⋳⪒≮⫘↔11001000000001110011000=≮⫘↔-11001000000010010110111","layer":2},{"info":"≮⫘↔-11001000000010010110111⇋≉=≮⫘↔-110010000000100111010000","layer":1},{"info":"-≮⫘↔1011101000101=≮⫘↔-1011101000101","layer":3},{"info":"≮⫘↔-1011101000101⊠≄⫣=≮⫘↔0","layer":2},{"info":"≮⫘↔10000001100110⊴≮⫘↔100101000010=NaN","layer":3},{"info":"≮⫘↔1100010000101⪐=≮⫘↔11000100001010","layer":3},{"info":"NaN≧⫂∧≮⫘↔11000100001010=≮⫘↔10111100110001","layer":2},{"info":"≮⫘↔0∲⫓≮⫘↔10111100110001=≮⫘↔0","layer":1},{"info":"≮⫘↔-110010000000100111010000∲⫓≮⫘↔0=≮⫘↔-110010000000100111010000","layer":0}]}
{"id":936,"expression_no_base_symbol":"($2221$⪮%⊝$1790$⫸⊐(⨰⫟⨤$2451$))+⇶⊼(($5556$⨵⪆$1503$)⋳⪒($1477$≣⋋))⨽((⫛⫱⨽$3154$)⨎($4951$-$2502$))≎⊠⪸($2204$≧⫂∧$1909$)⇷$2486$⪢$2105$","expression":"(≮⫘↔100010101101⪮%⊝≮⫘↔11011111110⫸⊐(⨰⫟⨤≮⫘↔100110010011))+⇶⊼((≮⫘↔1010110110100⨵⪆≮⫘↔10111011111)⋳⪒(≮⫘↔10111000101≣⋋))⨽((⫛⫱⨽≮⫘↔110001010010)⨎(≮⫘↔1001101010111-≮⫘↔100111000110))≎⊠⪸(≮⫘↔100010011100≧⫂∧≮⫘↔11101110101)⇷≮⫘↔100110110110⪢≮⫘↔100000111001","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":36280,"operation_count":15,"complexity_ratio":2418.6666666666665,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2221,"base":2},"right_expr":{"type":"numeric_atoms","value":1790,"base":2}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2451,"base":2}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5556,"base":2},"right_expr":{"type":"numeric_atoms","value":1503,"base":2}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1477,"base":2}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3154,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4951,"base":2},"right_expr":{"type":"numeric_atoms","value":2502,"base":2}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2204,"base":2},"right_expr":{"type":"numeric_atoms","value":1909,"base":2}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2486,"base":2},"right_expr":{"type":"numeric_atoms","value":2105,"base":2}}}}},"used_operators":["8HhzD0ZcuI","TpPTUOHfaN","mqXw5SEYmG","IWmyXbctLI","Tw270M8GLb","12rbrZMWeM","2DQ55sFlQl","Tcnh7f0tEr","bJkvcejdHO","rJVOvQCfKK","DlLNRPXxWL","rysDP5nf3Z","mp7IySMOzn","Ph9nP6C5qx","dWAJyo7jo9"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2221","layer":4},{"info":"number node, value=1790","layer":4},{"info":"compute binary expreesion, left_input=2221, right_input=1790, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4758","layer":3},{"info":"number node, value=2451","layer":4},{"info":"compute unary expreesion, input=2451, 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=4758, 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=5556","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=5556, right_input=1503, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1477","layer":4},{"info":"compute unary expreesion, input=1477, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=33","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=33, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=3154","layer":4},{"info":"compute unary expreesion, input=3154, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=4951","layer":4},{"info":"number node, value=2502","layer":4},{"info":"compute binary expreesion, left_input=4951, right_input=2502, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2449","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2449, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2449","layer":2},{"info":"number node, value=2204","layer":4},{"info":"number node, value=1909","layer":4},{"info":"compute binary expreesion, left_input=2204, right_input=1909, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1436","layer":3},{"info":"number node, value=2486","layer":4},{"info":"number node, value=2105","layer":4},{"info":"compute binary expreesion, left_input=2486, right_input=2105, 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=1436, 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=2449, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100010101101⪮%⊝≮⫘↔11011111110⫸⊐(⨰⫟⨤≮⫘↔100110010011))+⇶⊼((≮⫘↔1010110110100⨵⪆≮⫘↔10111011111)⋳⪒(≮⫘↔10111000101≣⋋))⨽((⫛⫱⨽≮⫘↔110001010010)⨎(≮⫘↔1001101010111-≮⫘↔100111000110))≎⊠⪸(≮⫘↔100010011100≧⫂∧≮⫘↔11101110101)⇷≮⫘↔100110110110⪢≮⫘↔100000111001=NaN","reverse_text":"NaN=(≮⫘↔100010101101⪮%⊝≮⫘↔11011111110⫸⊐(⨰⫟⨤≮⫘↔100110010011))+⇶⊼((≮⫘↔1010110110100⨵⪆≮⫘↔10111011111)⋳⪒(≮⫘↔10111000101≣⋋))⨽((⫛⫱⨽≮⫘↔110001010010)⨎(≮⫘↔1001101010111-≮⫘↔100111000110))≎⊠⪸(≮⫘↔100010011100≧⫂∧≮⫘↔11101110101)⇷≮⫘↔100110110110⪢≮⫘↔100000111001","cot":[{"info":"≮⫘↔100010101101⪮%⊝≮⫘↔11011111110=≮⫘↔1001010010110","layer":3},{"info":"⨰⫟⨤≮⫘↔100110010011=NaN","layer":3},{"info":"≮⫘↔1001010010110⫸⊐NaN=NaN","layer":2},{"info":"≮⫘↔1010110110100⨵⪆≮⫘↔10111011111=≮⫘↔10100000","layer":3},{"info":"≮⫘↔10111000101≣⋋=≮⫘↔0","layer":3},{"info":"≮⫘↔10100000⋳⪒≮⫘↔0=≮⫘↔100001","layer":2},{"info":"NaN+⇶⊼≮⫘↔100001=NaN","layer":1},{"info":"⫛⫱⨽≮⫘↔110001010010=≮⫘↔0","layer":3},{"info":"≮⫘↔1001101010111-≮⫘↔100111000110=≮⫘↔100110010001","layer":3},{"info":"≮⫘↔0⨎≮⫘↔100110010001=≮⫘↔100110010001","layer":2},{"info":"≮⫘↔100010011100≧⫂∧≮⫘↔11101110101=≮⫘↔10110011100","layer":3},{"info":"≮⫘↔100110110110⪢≮⫘↔100000111001=NaN","layer":3},{"info":"≮⫘↔10110011100⇷NaN=NaN","layer":2},{"info":"≮⫘↔100110010001≎⊠⪸NaN=≮⫘↔1000011","layer":1},{"info":"NaN⨽≮⫘↔1000011=NaN","layer":0}]}
{"id":937,"expression_no_base_symbol":"(($3492$↺$2283$)⨐⩸⫘$1604$⪘⫢$2298$)⇷($1199$↙$2025$↙(+⊝⨔$2019$))↙(⨈⫕(($3775$⊠≄⫣)⇼⇔∾$2784$⪮%⊝$5469$))","expression":"((≮⫘↔110110100100↺≮⫘↔100011101011)⨐⩸⫘≮⫘↔11001000100⪘⫢≮⫘↔100011111010)⇷(≮⫘↔10010101111↙≮⫘↔11111101001↙(+⊝⨔≮⫘↔11111100011))↙(⨈⫕((≮⫘↔111010111111⊠≄⫣)⇼⇔∾≮⫘↔101011100000⪮%⊝≮⫘↔1010101011101))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2497,"operation_count":12,"complexity_ratio":208.08333333333334,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3492,"base":2},"right_expr":{"type":"numeric_atoms","value":2283,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1604,"base":2},"right_expr":{"type":"numeric_atoms","value":2298,"base":2}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1199,"base":2},"right_expr":{"type":"numeric_atoms","value":2025,"base":2}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2019,"base":2}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3775,"base":2}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2784,"base":2},"right_expr":{"type":"numeric_atoms","value":5469,"base":2}}}}},"used_operators":["yyfyN0ffXY","mp7IySMOzn","fu6greOZ01","7j4O788W3g","oacrs7FA3X","DhbWaqg5eL","megm06wKyl","tifHPKVTfV","DIvbN7qnHd","IWmyXbctLI"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3492","layer":4},{"info":"number node, value=2283","layer":4},{"info":"compute binary expreesion, left_input=3492, right_input=2283, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2283","layer":3},{"info":"number node, value=1604","layer":4},{"info":"number node, value=2298","layer":4},{"info":"compute binary expreesion, left_input=1604, right_input=2298, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3084","layer":3},{"info":"compute binary expreesion, left_input=2283, right_input=3084, 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=1199","layer":4},{"info":"number node, value=2025","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=2025, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6075","layer":3},{"info":"number node, value=2019","layer":4},{"info":"compute unary expreesion, input=2019, 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=-6075, right_input=1522, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6075","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6075, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=3775","layer":4},{"info":"compute unary expreesion, input=3775, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=2784","layer":4},{"info":"number node, value=5469","layer":4},{"info":"compute binary expreesion, left_input=2784, right_input=5469, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5884","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5884, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5884","layer":2},{"info":"compute unary expreesion, input=5884, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110110100100↺≮⫘↔100011101011)⨐⩸⫘≮⫘↔11001000100⪘⫢≮⫘↔100011111010)⇷(≮⫘↔10010101111↙≮⫘↔11111101001↙(+⊝⨔≮⫘↔11111100011))↙(⨈⫕((≮⫘↔111010111111⊠≄⫣)⇼⇔∾≮⫘↔101011100000⪮%⊝≮⫘↔1010101011101))=NaN","reverse_text":"NaN=((≮⫘↔110110100100↺≮⫘↔100011101011)⨐⩸⫘≮⫘↔11001000100⪘⫢≮⫘↔100011111010)⇷(≮⫘↔10010101111↙≮⫘↔11111101001↙(+⊝⨔≮⫘↔11111100011))↙(⨈⫕((≮⫘↔111010111111⊠≄⫣)⇼⇔∾≮⫘↔101011100000⪮%⊝≮⫘↔1010101011101))","cot":[{"info":"≮⫘↔110110100100↺≮⫘↔100011101011=≮⫘↔100011101011","layer":3},{"info":"≮⫘↔11001000100⪘⫢≮⫘↔100011111010=≮⫘↔110000001100","layer":3},{"info":"≮⫘↔100011101011⨐⩸⫘≮⫘↔110000001100=NaN","layer":2},{"info":"≮⫘↔10010101111↙≮⫘↔11111101001=≮⫘↔-1011110111011","layer":3},{"info":"+⊝⨔≮⫘↔11111100011=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔-1011110111011↙≮⫘↔10111110010=≮⫘↔-1011110111011","layer":2},{"info":"NaN⇷≮⫘↔-1011110111011=NaN","layer":1},{"info":"≮⫘↔111010111111⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔101011100000⪮%⊝≮⫘↔1010101011101=≮⫘↔1011011111100","layer":3},{"info":"≮⫘↔0⇼⇔∾≮⫘↔1011011111100=≮⫘↔1011011111100","layer":2},{"info":"⨈⫕≮⫘↔1011011111100=≮⫘↔-10101","layer":1},{"info":"NaN↙≮⫘↔-10101=NaN","layer":0}]}
{"id":938,"expression_no_base_symbol":"(⫓⪴((⨈⫕$2099$)⊉≛↸$1985$≎⊠⪸$6838$))∀⇚≩(($3278$⇋≉)≎⊠⪸$5596$⋓$2200$*(⩦⩻⨪($4621$⋷$3464$)))","expression":"(⫓⪴((⨈⫕≮⫘↔100000110011)⊉≛↸≮⫘↔11111000001≎⊠⪸≮⫘↔1101010110110))∀⇚≩((≮⫘↔110011001110⇋≉)≎⊠⪸≮⫘↔1010111011100⋓≮⫘↔100010011000*(⩦⩻⨪(≮⫘↔1001000001101⋷≮⫘↔110110001000)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15647,"operation_count":11,"complexity_ratio":1422.4545454545455,"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":2099,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1985,"base":2},"right_expr":{"type":"numeric_atoms","value":6838,"base":2}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3278,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5596,"base":2},"right_expr":{"type":"numeric_atoms","value":2200,"base":2}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4621,"base":2},"right_expr":{"type":"numeric_atoms","value":3464,"base":2}}}}},"used_operators":["LRNGc0VcxI","eLxqMNBOBk","DZ8iAZOCBD","megm06wKyl","bJkvcejdHO","9HNa5Wba9A","XIabStNQrY","T2fj7uvVaJ","2td37pGCOC","23Mk6UjR3U"],"dependent_operators":["X99M06cbEe","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2099","layer":4},{"info":"compute unary expreesion, input=2099, 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=1985","layer":4},{"info":"number node, value=6838","layer":4},{"info":"compute binary expreesion, left_input=1985, right_input=6838, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=513642","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=513642, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-42","layer":2},{"info":"compute unary expreesion, input=-42, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1764","layer":1},{"info":"number node, value=3278","layer":4},{"info":"compute unary expreesion, input=3278, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=6458","layer":3},{"info":"number node, value=5596","layer":4},{"info":"number node, value=2200","layer":4},{"info":"compute binary expreesion, left_input=5596, right_input=2200, 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=6458, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1672149","layer":2},{"info":"number node, value=4621","layer":4},{"info":"number node, value=3464","layer":4},{"info":"compute binary expreesion, left_input=4621, right_input=3464, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2307","layer":3},{"info":"compute unary expreesion, input=2307, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2307","layer":2},{"info":"compute binary expreesion, left_input=1672149, right_input=2307, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=inf","layer":1},{"info":"compute binary expreesion, left_input=1764, right_input=inf, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⫓⪴((⨈⫕≮⫘↔100000110011)⊉≛↸≮⫘↔11111000001≎⊠⪸≮⫘↔1101010110110))∀⇚≩((≮⫘↔110011001110⇋≉)≎⊠⪸≮⫘↔1010111011100⋓≮⫘↔100010011000*(⩦⩻⨪(≮⫘↔1001000001101⋷≮⫘↔110110001000)))=NaN","reverse_text":"NaN=(⫓⪴((⨈⫕≮⫘↔100000110011)⊉≛↸≮⫘↔11111000001≎⊠⪸≮⫘↔1101010110110))∀⇚≩((≮⫘↔110011001110⇋≉)≎⊠⪸≮⫘↔1010111011100⋓≮⫘↔100010011000*(⩦⩻⨪(≮⫘↔1001000001101⋷≮⫘↔110110001000)))","cot":[{"info":"⨈⫕≮⫘↔100000110011=≮⫘↔-10101","layer":3},{"info":"≮⫘↔11111000001≎⊠⪸≮⫘↔1101010110110=≮⫘↔1111101011001101010","layer":3},{"info":"≮⫘↔-10101⊉≛↸≮⫘↔1111101011001101010=≮⫘↔-101010","layer":2},{"info":"⫓⪴≮⫘↔-101010=≮⫘↔11011100100","layer":1},{"info":"≮⫘↔110011001110⇋≉=≮⫘↔1100100111010","layer":3},{"info":"≮⫘↔1010111011100⋓≮⫘↔100010011000=≮⫘↔0","layer":3},{"info":"≮⫘↔1100100111010≎⊠⪸≮⫘↔0=≮⫘↔110011000001111010101","layer":2},{"info":"≮⫘↔1001000001101⋷≮⫘↔110110001000=≮⫘↔100100000011","layer":3},{"info":"⩦⩻⨪≮⫘↔100100000011=≮⫘↔100100000011","layer":2},{"info":"≮⫘↔110011000001111010101*≮⫘↔100100000011=Inf","layer":1},{"info":"≮⫘↔11011100100∀⇚≩Inf=NaN","layer":0}]}
{"id":939,"expression_no_base_symbol":"⨰⫟⨤(($3052$/$4545$)⊴($5338$⪛$8163$)+$6363$⩷∴$1409$*($6522$⪨≂$5682$))","expression":"⨰⫟⨤((≮⫘↔101111101100/≮⫘↔1000111000001)⊴(≮⫘↔1010011011010⪛≮⫘↔1111111100011)+≮⫘↔1100011011011⩷∴≮⫘↔10110000001*(≮⫘↔1100101111010⪨≂≮⫘↔1011000110010))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7172,"operation_count":8,"complexity_ratio":896.5,"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":3052,"base":2},"right_expr":{"type":"numeric_atoms","value":4545,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5338,"base":2},"right_expr":{"type":"numeric_atoms","value":8163,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6363,"base":2},"right_expr":{"type":"numeric_atoms","value":1409,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6522,"base":2},"right_expr":{"type":"numeric_atoms","value":5682,"base":2}}}}},"used_operators":["Tw270M8GLb","W4YGzv6Whe","Nsiff2A1zJ","XhwjNDsVaA","uFcxV4UQCh","9HNa5Wba9A","9FxExcQeMw","sdazOOVcIp"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3052","layer":4},{"info":"number node, value=4545","layer":4},{"info":"compute binary expreesion, left_input=3052, right_input=4545, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=5338","layer":4},{"info":"number node, value=8163","layer":4},{"info":"compute binary expreesion, left_input=5338, right_input=8163, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=5338","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5338, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=6363","layer":4},{"info":"number node, value=1409","layer":4},{"info":"compute binary expreesion, left_input=6363, right_input=1409, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=9876","layer":3},{"info":"number node, value=6522","layer":4},{"info":"number node, value=5682","layer":4},{"info":"compute binary expreesion, left_input=6522, right_input=5682, 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=1782","layer":3},{"info":"compute binary expreesion, left_input=9876, right_input=1782, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=17599032","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17599032, op_id = W4YGzv6Whe binary_op_definition= 'None', 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":2,"result_base":2,"text":"⨰⫟⨤((≮⫘↔101111101100/≮⫘↔1000111000001)⊴(≮⫘↔1010011011010⪛≮⫘↔1111111100011)+≮⫘↔1100011011011⩷∴≮⫘↔10110000001*(≮⫘↔1100101111010⪨≂≮⫘↔1011000110010))=NaN","reverse_text":"NaN=⨰⫟⨤((≮⫘↔101111101100/≮⫘↔1000111000001)⊴(≮⫘↔1010011011010⪛≮⫘↔1111111100011)+≮⫘↔1100011011011⩷∴≮⫘↔10110000001*(≮⫘↔1100101111010⪨≂≮⫘↔1011000110010))","cot":[{"info":"≮⫘↔101111101100/≮⫘↔1000111000001=≮⫘↔0","layer":3},{"info":"≮⫘↔1010011011010⪛≮⫘↔1111111100011=≮⫘↔1010011011010","layer":3},{"info":"≮⫘↔0⊴≮⫘↔1010011011010=NaN","layer":2},{"info":"≮⫘↔1100011011011⩷∴≮⫘↔10110000001=≮⫘↔10011010010100","layer":3},{"info":"≮⫘↔1100101111010⪨≂≮⫘↔1011000110010=≮⫘↔11011110110","layer":3},{"info":"≮⫘↔10011010010100*≮⫘↔11011110110=≮⫘↔1000011001000101000111000","layer":2},{"info":"NaN+≮⫘↔1000011001000101000111000=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":940,"expression_no_base_symbol":"((⫛⫱⨽($4381$⨰$2961$))↛⩡⫤)∀⇚≩((⊙↵-$4519$)⫡⨏$1207$⊉≛↸$3909$)⪘⫢(↽≂($1313$⊪))","expression":"((⫛⫱⨽(≮⫘↔1000100011101⨰≮⫘↔101110010001))↛⩡⫤)∀⇚≩((⊙↵-≮⫘↔1000110100111)⫡⨏≮⫘↔10010110111⊉≛↸≮⫘↔111101000101)⪘⫢(↽≂(≮⫘↔10100100001⊪))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6114,"operation_count":10,"complexity_ratio":611.4,"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":4381,"base":2},"right_expr":{"type":"numeric_atoms","value":2961,"base":2}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4519,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1207,"base":2},"right_expr":{"type":"numeric_atoms","value":3909,"base":2}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1313,"base":2}}}}},"used_operators":["LRNGc0VcxI","FU0Cs4j7VP","DlLNRPXxWL","eewbuw0ToL","oacrs7FA3X","QMFrweE19q","oWn0xqSxBt","DZ8iAZOCBD","u6S6b8DprG","zVYPLywUTj"],"dependent_operators":["X99M06cbEe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4381","layer":4},{"info":"number node, value=2961","layer":4},{"info":"compute binary expreesion, left_input=4381, right_input=2961, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1430","layer":3},{"info":"compute unary expreesion, input=1430, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=0","layer":1},{"info":"number node, value=4519","layer":4},{"info":"compute unary expreesion, input=4519, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1207","layer":4},{"info":"number node, value=3909","layer":4},{"info":"compute binary expreesion, left_input=1207, right_input=3909, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2414","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=2414, 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=5606","layer":2},{"info":"number node, value=1313","layer":4},{"info":"compute unary expreesion, input=1313, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=5606, right_input=0, 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":"compute binary expreesion, left_input=0, 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=0","layer":0}],"base":2,"result_base":2,"text":"((⫛⫱⨽(≮⫘↔1000100011101⨰≮⫘↔101110010001))↛⩡⫤)∀⇚≩((⊙↵-≮⫘↔1000110100111)⫡⨏≮⫘↔10010110111⊉≛↸≮⫘↔111101000101)⪘⫢(↽≂(≮⫘↔10100100001⊪))=≮⫘↔0","reverse_text":"≮⫘↔0=((⫛⫱⨽(≮⫘↔1000100011101⨰≮⫘↔101110010001))↛⩡⫤)∀⇚≩((⊙↵-≮⫘↔1000110100111)⫡⨏≮⫘↔10010110111⊉≛↸≮⫘↔111101000101)⪘⫢(↽≂(≮⫘↔10100100001⊪))","cot":[{"info":"≮⫘↔1000100011101⨰≮⫘↔101110010001=≮⫘↔10110010110","layer":3},{"info":"⫛⫱⨽≮⫘↔10110010110=≮⫘↔0","layer":2},{"info":"≮⫘↔0↛⩡⫤=≮⫘↔0","layer":1},{"info":"⊙↵-≮⫘↔1000110100111=≮⫘↔-1","layer":3},{"info":"≮⫘↔10010110111⊉≛↸≮⫘↔111101000101=≮⫘↔100101101110","layer":3},{"info":"≮⫘↔-1⫡⨏≮⫘↔100101101110=≮⫘↔1010111100110","layer":2},{"info":"≮⫘↔10100100001⊪=≮⫘↔0","layer":3},{"info":"↽≂≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔1010111100110⪘⫢≮⫘↔0=≮⫘↔0","layer":1},{"info":"≮⫘↔0∀⇚≩≮⫘↔0=≮⫘↔0","layer":0}]}
{"id":941,"expression_no_base_symbol":"((⩦⩻⨪$1490$)⪒$5488$∑⇟⊟$4324$)⨰(⊄⩳↩$1203$∀⇚≩$1141$)∲⫓(⨞⊢$5562$)⪮%⊝($2732$-$3291$)⇷($3187$↬$5321$⋓(↔$1683$))","expression":"((⩦⩻⨪≮⫘↔10111010010)⪒≮⫘↔1010101110000∑⇟⊟≮⫘↔1000011100100)⨰(⊄⩳↩≮⫘↔10010110011∀⇚≩≮⫘↔10001110101)∲⫓(⨞⊢≮⫘↔1010110111010)⪮%⊝(≮⫘↔101010101100-≮⫘↔110011011011)⇷(≮⫘↔110001110011↬≮⫘↔1010011001001⋓(↔≮⫘↔11010010011))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":164661,"operation_count":14,"complexity_ratio":11761.5,"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":1490,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5488,"base":2},"right_expr":{"type":"numeric_atoms","value":4324,"base":2}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1203,"base":2},"right_expr":{"type":"numeric_atoms","value":1141,"base":2}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5562,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2732,"base":2},"right_expr":{"type":"numeric_atoms","value":3291,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3187,"base":2},"right_expr":{"type":"numeric_atoms","value":5321,"base":2}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1683,"base":2}}}}},"used_operators":["i8ToyICDmI","eewbuw0ToL","f6k1SAg4EE","2td37pGCOC","U7g4x0WXJJ","8w2t5hMYqp","LRNGc0VcxI","mp7IySMOzn","IWmyXbctLI","xUOZtlo3hN","rysDP5nf3Z","T2fj7uvVaJ","B5M0gjZbta","ruOEQAzv1W"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1490","layer":4},{"info":"compute unary expreesion, input=1490, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1490","layer":3},{"info":"number node, value=5488","layer":4},{"info":"number node, value=4324","layer":4},{"info":"compute binary expreesion, left_input=5488, right_input=4324, 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=1490, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1203","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=1203, right_input=1141, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=5562","layer":4},{"info":"compute unary expreesion, input=5562, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5736","layer":3},{"info":"number node, value=2732","layer":4},{"info":"number node, value=3291","layer":4},{"info":"compute binary expreesion, left_input=2732, right_input=3291, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-559","layer":3},{"info":"compute binary expreesion, left_input=-5736, right_input=-559, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-11156","layer":2},{"info":"number node, value=3187","layer":4},{"info":"number node, value=5321","layer":4},{"info":"compute binary expreesion, left_input=3187, right_input=5321, 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=1683","layer":4},{"info":"compute unary expreesion, input=1683, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1410","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1410, 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=-11156, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⩦⩻⨪≮⫘↔10111010010)⪒≮⫘↔1010101110000∑⇟⊟≮⫘↔1000011100100)⨰(⊄⩳↩≮⫘↔10010110011∀⇚≩≮⫘↔10001110101)∲⫓(⨞⊢≮⫘↔1010110111010)⪮%⊝(≮⫘↔101010101100-≮⫘↔110011011011)⇷(≮⫘↔110001110011↬≮⫘↔1010011001001⋓(↔≮⫘↔11010010011))=NaN","reverse_text":"NaN=((⩦⩻⨪≮⫘↔10111010010)⪒≮⫘↔1010101110000∑⇟⊟≮⫘↔1000011100100)⨰(⊄⩳↩≮⫘↔10010110011∀⇚≩≮⫘↔10001110101)∲⫓(⨞⊢≮⫘↔1010110111010)⪮%⊝(≮⫘↔101010101100-≮⫘↔110011011011)⇷(≮⫘↔110001110011↬≮⫘↔1010011001001⋓(↔≮⫘↔11010010011))","cot":[{"info":"⩦⩻⨪≮⫘↔10111010010=≮⫘↔10111010010","layer":3},{"info":"≮⫘↔1010101110000∑⇟⊟≮⫘↔1000011100100=NaN","layer":3},{"info":"≮⫘↔10111010010⪒NaN=NaN","layer":2},{"info":"≮⫘↔10010110011∀⇚≩≮⫘↔10001110101=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"⨞⊢≮⫘↔1010110111010=≮⫘↔-1011001101000","layer":3},{"info":"≮⫘↔101010101100-≮⫘↔110011011011=≮⫘↔-1000101111","layer":3},{"info":"≮⫘↔-1011001101000⪮%⊝≮⫘↔-1000101111=≮⫘↔-10101110010100","layer":2},{"info":"≮⫘↔110001110011↬≮⫘↔1010011001001=NaN","layer":3},{"info":"↔≮⫘↔11010010011=≮⫘↔-10110000010","layer":3},{"info":"NaN⋓≮⫘↔-10110000010=≮⫘↔0","layer":2},{"info":"≮⫘↔-10101110010100⇷≮⫘↔0=≮⫘↔0","layer":1},{"info":"NaN∲⫓≮⫘↔0=NaN","layer":0}]}
{"id":942,"expression_no_base_symbol":"(⊥((≦∁$3838$)⩷∴$2322$∑⇟⊟$1171$))⪄($5856$≹⇙⪍$3153$⪒($5694$⫡⨏$3118$))⨰(($3133$⋥≓≎$5055$)⊦⊿)","expression":"(⊥((≦∁≮⫘↔111011111110)⩷∴≮⫘↔100100010010∑⇟⊟≮⫘↔10010010011))⪄(≮⫘↔1011011100000≹⇙⪍≮⫘↔110001010001⪒(≮⫘↔1011000111110⫡⨏≮⫘↔110000101110))⨰((≮⫘↔110000111101⋥≓≎≮⫘↔1001110111111)⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":57,"operation_count":11,"complexity_ratio":5.181818181818182,"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":3838,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2322,"base":2},"right_expr":{"type":"numeric_atoms","value":1171,"base":2}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5856,"base":2},"right_expr":{"type":"numeric_atoms","value":3153,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5694,"base":2},"right_expr":{"type":"numeric_atoms","value":3118,"base":2}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3133,"base":2},"right_expr":{"type":"numeric_atoms","value":5055,"base":2}}}}},"used_operators":["SUmda5xLS4","Q3PJZHRvZv","9FxExcQeMw","9ICcGScMcE","U7g4x0WXJJ","eewbuw0ToL","f6k1SAg4EE","AHs5Up7iyr","QMFrweE19q","14qkJME0vr","Qy55tPpLXF"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","fu6greOZ01","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔111110001011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3838","layer":4},{"info":"compute unary expreesion, input=3838, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3838","layer":3},{"info":"number node, value=2322","layer":4},{"info":"number node, value=1171","layer":4},{"info":"compute binary expreesion, left_input=2322, right_input=1171, 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=3838, right_input=nan, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=5856","layer":4},{"info":"number node, value=3153","layer":4},{"info":"compute binary expreesion, left_input=5856, right_input=3153, 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=5694","layer":4},{"info":"number node, value=3118","layer":4},{"info":"compute binary expreesion, left_input=5694, right_input=3118, 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=35489","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=35489, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=3133","layer":4},{"info":"number node, value=5055","layer":4},{"info":"compute binary expreesion, left_input=3133, right_input=5055, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7010","layer":3},{"info":"compute unary expreesion, input=7010, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-21109","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21109, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":2,"result_base":2,"text":"(⊥((≦∁≮⫘↔111011111110)⩷∴≮⫘↔100100010010∑⇟⊟≮⫘↔10010010011))⪄(≮⫘↔1011011100000≹⇙⪍≮⫘↔110001010001⪒(≮⫘↔1011000111110⫡⨏≮⫘↔110000101110))⨰((≮⫘↔110000111101⋥≓≎≮⫘↔1001110111111)⊦⊿)=≮⫘↔111110001011","reverse_text":"≮⫘↔111110001011=(⊥((≦∁≮⫘↔111011111110)⩷∴≮⫘↔100100010010∑⇟⊟≮⫘↔10010010011))⪄(≮⫘↔1011011100000≹⇙⪍≮⫘↔110001010001⪒(≮⫘↔1011000111110⫡⨏≮⫘↔110000101110))⨰((≮⫘↔110000111101⋥≓≎≮⫘↔1001110111111)⊦⊿)","cot":[{"info":"≦∁≮⫘↔111011111110=≮⫘↔111011111110","layer":3},{"info":"≮⫘↔100100010010∑⇟⊟≮⫘↔10010010011=NaN","layer":3},{"info":"≮⫘↔111011111110⩷∴NaN=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"≮⫘↔1011011100000≹⇙⪍≮⫘↔110001010001=NaN","layer":3},{"info":"≮⫘↔1011000111110⫡⨏≮⫘↔110000101110=≮⫘↔1000101010100001","layer":3},{"info":"NaN⪒≮⫘↔1000101010100001=NaN","layer":2},{"info":"≮⫘↔110000111101⋥≓≎≮⫘↔1001110111111=≮⫘↔1101101100010","layer":3},{"info":"≮⫘↔1101101100010⊦⊿=≮⫘↔-101001001110101","layer":2},{"info":"NaN⨰≮⫘↔-101001001110101=NaN","layer":1},{"info":"NaN⪄NaN=≮⫘↔111110001011","layer":0}]}
{"id":943,"expression_no_base_symbol":"($3274$⊭∹↮)⇷$1204$⇷$1581$⨰($5353$*$5024$)⪢($2615$⇷$6614$)⫸⊐(⩦⩻⨪$1627$)⇷($6369$⩨$1788$)⨓($4175$⋓$1198$⪄($3820$⨵⪆$4273$))","expression":"(≮⫘↔110011001010⊭∹↮)⇷≮⫘↔10010110100⇷≮⫘↔11000101101⨰(≮⫘↔1010011101001*≮⫘↔1001110100000)⪢(≮⫘↔101000110111⇷≮⫘↔1100111010110)⫸⊐(⩦⩻⨪≮⫘↔11001011011)⇷(≮⫘↔1100011100001⩨≮⫘↔11011111100)⨓(≮⫘↔1000001001111⋓≮⫘↔10010101110⪄(≮⫘↔111011101100⨵⪆≮⫘↔1000010110001))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1253267,"operation_count":15,"complexity_ratio":83551.13333333333,"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":3274,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1204,"base":2},"right_expr":{"type":"numeric_atoms","value":1581,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5353,"base":2},"right_expr":{"type":"numeric_atoms","value":5024,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2615,"base":2},"right_expr":{"type":"numeric_atoms","value":6614,"base":2}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1627,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6369,"base":2},"right_expr":{"type":"numeric_atoms","value":1788,"base":2}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4175,"base":2},"right_expr":{"type":"numeric_atoms","value":1198,"base":2}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3820,"base":2},"right_expr":{"type":"numeric_atoms","value":4273,"base":2}}}}},"used_operators":["mqXw5SEYmG","eewbuw0ToL","mp7IySMOzn","xNBdhnnwKq","dWAJyo7jo9","9HNa5Wba9A","3ViojmjbAp","2td37pGCOC","2DlMacCsIx","SUmda5xLS4","T2fj7uvVaJ","2DQ55sFlQl"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3274","layer":4},{"info":"compute unary expreesion, input=3274, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6548","layer":3},{"info":"number node, value=1204","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=1204, right_input=1581, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3162","layer":3},{"info":"compute binary expreesion, left_input=6548, right_input=3162, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6324","layer":2},{"info":"number node, value=5353","layer":4},{"info":"number node, value=5024","layer":4},{"info":"compute binary expreesion, left_input=5353, right_input=5024, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=26893472","layer":3},{"info":"number node, value=2615","layer":4},{"info":"number node, value=6614","layer":4},{"info":"compute binary expreesion, left_input=2615, right_input=6614, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13228","layer":3},{"info":"compute binary expreesion, left_input=26893472, right_input=13228, 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=6324, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=1627","layer":4},{"info":"compute unary expreesion, input=1627, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1627","layer":3},{"info":"number node, value=6369","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=6369, right_input=1788, 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=1627, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"number node, value=4175","layer":4},{"info":"number node, value=1198","layer":4},{"info":"compute binary expreesion, left_input=4175, right_input=1198, 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=3820","layer":4},{"info":"number node, value=4273","layer":4},{"info":"compute binary expreesion, left_input=3820, right_input=4273, 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=0, right_input=160, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3271","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3271, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3274","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3274, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔110011001010⊭∹↮)⇷≮⫘↔10010110100⇷≮⫘↔11000101101⨰(≮⫘↔1010011101001*≮⫘↔1001110100000)⪢(≮⫘↔101000110111⇷≮⫘↔1100111010110)⫸⊐(⩦⩻⨪≮⫘↔11001011011)⇷(≮⫘↔1100011100001⩨≮⫘↔11011111100)⨓(≮⫘↔1000001001111⋓≮⫘↔10010101110⪄(≮⫘↔111011101100⨵⪆≮⫘↔1000010110001))=NaN","reverse_text":"NaN=(≮⫘↔110011001010⊭∹↮)⇷≮⫘↔10010110100⇷≮⫘↔11000101101⨰(≮⫘↔1010011101001*≮⫘↔1001110100000)⪢(≮⫘↔101000110111⇷≮⫘↔1100111010110)⫸⊐(⩦⩻⨪≮⫘↔11001011011)⇷(≮⫘↔1100011100001⩨≮⫘↔11011111100)⨓(≮⫘↔1000001001111⋓≮⫘↔10010101110⪄(≮⫘↔111011101100⨵⪆≮⫘↔1000010110001))","cot":[{"info":"≮⫘↔110011001010⊭∹↮=≮⫘↔1100110010100","layer":3},{"info":"≮⫘↔10010110100⇷≮⫘↔11000101101=≮⫘↔110001011010","layer":3},{"info":"≮⫘↔1100110010100⇷≮⫘↔110001011010=≮⫘↔1100010110100","layer":2},{"info":"≮⫘↔1010011101001*≮⫘↔1001110100000=≮⫘↔1100110100101110010100000","layer":3},{"info":"≮⫘↔101000110111⇷≮⫘↔1100111010110=≮⫘↔11001110101100","layer":3},{"info":"≮⫘↔1100110100101110010100000⪢≮⫘↔11001110101100=NaN","layer":2},{"info":"≮⫘↔1100010110100⨰NaN=NaN","layer":1},{"info":"⩦⩻⨪≮⫘↔11001011011=≮⫘↔11001011011","layer":3},{"info":"≮⫘↔1100011100001⩨≮⫘↔11011111100=≮⫘↔0","layer":3},{"info":"≮⫘↔11001011011⇷≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔1000001001111⋓≮⫘↔10010101110=≮⫘↔0","layer":3},{"info":"≮⫘↔111011101100⨵⪆≮⫘↔1000010110001=≮⫘↔10100000","layer":3},{"info":"≮⫘↔0⪄≮⫘↔10100000=≮⫘↔110011000111","layer":2},{"info":"≮⫘↔0⨓≮⫘↔110011000111=≮⫘↔-110011001010","layer":1},{"info":"NaN⫸⊐≮⫘↔-110011001010=NaN","layer":0}]}
{"id":944,"expression_no_base_symbol":"((($2784$⇼⇔∾$3306$)⨽(+⊝⨔$3155$))≦≮≮)⇷($1322$⋓$4892$⪄($2233$⇼⇔∾$1027$)⊭↱($4212$*$2862$⋷$6429$⩷∴$2115$))","expression":"(((≮⫘↔101011100000⇼⇔∾≮⫘↔110011101010)⨽(+⊝⨔≮⫘↔110001010011))≦≮≮)⇷(≮⫘↔10100101010⋓≮⫘↔1001100011100⪄(≮⫘↔100010111001⇼⇔∾≮⫘↔10000000011)⊭↱(≮⫘↔1000001110100*≮⫘↔101100101110⋷≮⫘↔1100100011101⩷∴≮⫘↔100001000011))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3500,"operation_count":12,"complexity_ratio":291.6666666666667,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2784,"base":2},"right_expr":{"type":"numeric_atoms","value":3306,"base":2}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3155,"base":2}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1322,"base":2},"right_expr":{"type":"numeric_atoms","value":4892,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2233,"base":2},"right_expr":{"type":"numeric_atoms","value":1027,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4212,"base":2},"right_expr":{"type":"numeric_atoms","value":2862,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6429,"base":2},"right_expr":{"type":"numeric_atoms","value":2115,"base":2}}}}},"used_operators":["mp7IySMOzn","D4vGDi5EA2","8HhzD0ZcuI","tifHPKVTfV","DhbWaqg5eL","COABgblf1C","SUmda5xLS4","T2fj7uvVaJ","23Mk6UjR3U","9HNa5Wba9A","9FxExcQeMw"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2784","layer":4},{"info":"number node, value=3306","layer":4},{"info":"compute binary expreesion, left_input=2784, right_input=3306, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=522","layer":3},{"info":"number node, value=3155","layer":4},{"info":"compute unary expreesion, input=3155, 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=522, right_input=1522, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-820704","layer":2},{"info":"compute unary expreesion, input=-820704, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=2462112","layer":1},{"info":"number node, value=1322","layer":4},{"info":"number node, value=4892","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=4892, 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=2233","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=2233, right_input=1027, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1206","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1206, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=8735","layer":2},{"info":"number node, value=4212","layer":4},{"info":"number node, value=2862","layer":4},{"info":"compute binary expreesion, left_input=4212, right_input=2862, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12054744","layer":3},{"info":"number node, value=6429","layer":4},{"info":"number node, value=2115","layer":4},{"info":"compute binary expreesion, left_input=6429, right_input=2115, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8596","layer":3},{"info":"compute binary expreesion, left_input=12054744, right_input=8596, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-12037552","layer":2},{"info":"compute binary expreesion, left_input=8735, right_input=-12037552, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-24092569","layer":1},{"info":"compute binary expreesion, left_input=2462112, right_input=-24092569, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((≮⫘↔101011100000⇼⇔∾≮⫘↔110011101010)⨽(+⊝⨔≮⫘↔110001010011))≦≮≮)⇷(≮⫘↔10100101010⋓≮⫘↔1001100011100⪄(≮⫘↔100010111001⇼⇔∾≮⫘↔10000000011)⊭↱(≮⫘↔1000001110100*≮⫘↔101100101110⋷≮⫘↔1100100011101⩷∴≮⫘↔100001000011))=NaN","reverse_text":"NaN=(((≮⫘↔101011100000⇼⇔∾≮⫘↔110011101010)⨽(+⊝⨔≮⫘↔110001010011))≦≮≮)⇷(≮⫘↔10100101010⋓≮⫘↔1001100011100⪄(≮⫘↔100010111001⇼⇔∾≮⫘↔10000000011)⊭↱(≮⫘↔1000001110100*≮⫘↔101100101110⋷≮⫘↔1100100011101⩷∴≮⫘↔100001000011))","cot":[{"info":"≮⫘↔101011100000⇼⇔∾≮⫘↔110011101010=≮⫘↔1000001010","layer":3},{"info":"+⊝⨔≮⫘↔110001010011=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔1000001010⨽≮⫘↔10111110010=≮⫘↔-11001000010111100000","layer":2},{"info":"≮⫘↔-11001000010111100000≦≮≮=≮⫘↔1001011001000110100000","layer":1},{"info":"≮⫘↔10100101010⋓≮⫘↔1001100011100=≮⫘↔0","layer":3},{"info":"≮⫘↔100010111001⇼⇔∾≮⫘↔10000000011=≮⫘↔-10010110110","layer":3},{"info":"≮⫘↔0⪄≮⫘↔-10010110110=≮⫘↔10001000011111","layer":2},{"info":"≮⫘↔1000001110100*≮⫘↔101100101110=≮⫘↔101101111111000011011000","layer":3},{"info":"≮⫘↔1100100011101⩷∴≮⫘↔100001000011=≮⫘↔10000110010100","layer":3},{"info":"≮⫘↔101101111111000011011000⋷≮⫘↔10000110010100=≮⫘↔-101101111010110110110000","layer":2},{"info":"≮⫘↔10001000011111⊭↱≮⫘↔-101101111010110110110000=≮⫘↔-1011011111001111110011001","layer":1},{"info":"≮⫘↔1001011001000110100000⇷≮⫘↔-1011011111001111110011001=NaN","layer":0}]}
{"id":945,"expression_no_base_symbol":"⨰⫟⨤((($1011$⊭↱$6392$)⨽(⊥$1862$))∑⇟⊟(⇁⨣⪵$2908$⨎$5122$))","expression":"⨰⫟⨤(((≮⫘↔1111110011⊭↱≮⫘↔1100011111000)⨽(⊥≮⫘↔11101000110))∑⇟⊟(⇁⨣⪵≮⫘↔101101011100⨎≮⫘↔1010000000010))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10815,"operation_count":7,"complexity_ratio":1545.0,"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":1011,"base":2},"right_expr":{"type":"numeric_atoms","value":6392,"base":2}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1862,"base":2}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2908,"base":2},"right_expr":{"type":"numeric_atoms","value":5122,"base":2}}}}},"used_operators":["Tw270M8GLb","U7g4x0WXJJ","8HhzD0ZcuI","COABgblf1C","Q3PJZHRvZv","inkyxCbjAn","rJVOvQCfKK"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","B5M0gjZbta","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1011","layer":4},{"info":"number node, value=6392","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=6392, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=10767","layer":3},{"info":"number node, value=1862","layer":4},{"info":"compute unary expreesion, input=1862, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10767, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=2908","layer":4},{"info":"number node, value=5122","layer":4},{"info":"compute binary expreesion, left_input=2908, right_input=5122, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5122","layer":3},{"info":"compute unary expreesion, input=5122, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"⨰⫟⨤(((≮⫘↔1111110011⊭↱≮⫘↔1100011111000)⨽(⊥≮⫘↔11101000110))∑⇟⊟(⇁⨣⪵≮⫘↔101101011100⨎≮⫘↔1010000000010))=NaN","reverse_text":"NaN=⨰⫟⨤(((≮⫘↔1111110011⊭↱≮⫘↔1100011111000)⨽(⊥≮⫘↔11101000110))∑⇟⊟(⇁⨣⪵≮⫘↔101101011100⨎≮⫘↔1010000000010))","cot":[{"info":"≮⫘↔1111110011⊭↱≮⫘↔1100011111000=≮⫘↔10101000001111","layer":3},{"info":"⊥≮⫘↔11101000110=NaN","layer":3},{"info":"≮⫘↔10101000001111⨽NaN=NaN","layer":2},{"info":"≮⫘↔101101011100⨎≮⫘↔1010000000010=≮⫘↔1010000000010","layer":3},{"info":"⇁⨣⪵≮⫘↔1010000000010=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":946,"expression_no_base_symbol":"((⊙↵-(⊥$1817$))⫡⨏(≤/($4365$⫡⨏$1756$)))⪛(↣≠⋷(↩($1072$⊉≛↸$2826$)))","expression":"((⊙↵-(⊥≮⫘↔11100011001))⫡⨏(≤/(≮⫘↔1000100001101⫡⨏≮⫘↔11011011100)))⪛(↣≠⋷(↩(≮⫘↔10000110000⊉≛↸≮⫘↔101100001010)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":68,"operation_count":9,"complexity_ratio":7.555555555555555,"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":1817,"base":2}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4365,"base":2},"right_expr":{"type":"numeric_atoms","value":1756,"base":2}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1072,"base":2},"right_expr":{"type":"numeric_atoms","value":2826,"base":2}}}}},"used_operators":["uFcxV4UQCh","QMFrweE19q","oWn0xqSxBt","Q3PJZHRvZv","eLAdDNolq6","Asc51vEJeQ","jLgFTUHLKL","DZ8iAZOCBD"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","fu6greOZ01","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1817","layer":4},{"info":"compute unary expreesion, input=1817, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"number node, value=4365","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=4365, right_input=1756, 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=26120","layer":3},{"info":"compute unary expreesion, input=26120, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-25636","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-25636, 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=1072","layer":4},{"info":"number node, value=2826","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=2826, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2144","layer":3},{"info":"compute unary expreesion, input=2144, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-14372","layer":2},{"info":"compute unary expreesion, input=-14372, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"((⊙↵-(⊥≮⫘↔11100011001))⫡⨏(≤/(≮⫘↔1000100001101⫡⨏≮⫘↔11011011100)))⪛(↣≠⋷(↩(≮⫘↔10000110000⊉≛↸≮⫘↔101100001010)))=NaN","reverse_text":"NaN=((⊙↵-(⊥≮⫘↔11100011001))⫡⨏(≤/(≮⫘↔1000100001101⫡⨏≮⫘↔11011011100)))⪛(↣≠⋷(↩(≮⫘↔10000110000⊉≛↸≮⫘↔101100001010)))","cot":[{"info":"⊥≮⫘↔11100011001=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"≮⫘↔1000100001101⫡⨏≮⫘↔11011011100=≮⫘↔110011000001000","layer":3},{"info":"≤/≮⫘↔110011000001000=≮⫘↔-110010000100100","layer":2},{"info":"NaN⫡⨏≮⫘↔-110010000100100=NaN","layer":1},{"info":"≮⫘↔10000110000⊉≛↸≮⫘↔101100001010=≮⫘↔100001100000","layer":3},{"info":"↩≮⫘↔100001100000=≮⫘↔-11100000100100","layer":2},{"info":"↣≠⋷≮⫘↔-11100000100100=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":947,"expression_no_base_symbol":"((⇁⨣⪵(≦∁$4132$))∸)⨰($1936$⇷$8449$⊦⊿)⊴(⊄⩳↩($1610$∑⇟⊟$6230$))","expression":"((⇁⨣⪵(≦∁≮⫘↔1000000100100))∸)⨰(≮⫘↔11110010000⇷≮⫘↔10000100000001⊦⊿)⊴(⊄⩳↩(≮⫘↔11001001010∑⇟⊟≮⫘↔1100001010110))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27312,"operation_count":9,"complexity_ratio":3034.6666666666665,"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":4132,"base":2}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1936,"base":2},"right_expr":{"type":"numeric_atoms","value":8449,"base":2}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1610,"base":2},"right_expr":{"type":"numeric_atoms","value":6230,"base":2}}}}},"used_operators":["eewbuw0ToL","o20kRiQErp","inkyxCbjAn","9ICcGScMcE","Nsiff2A1zJ","14qkJME0vr","mp7IySMOzn","8w2t5hMYqp","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","B5M0gjZbta","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4132","layer":4},{"info":"compute unary expreesion, input=4132, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4132","layer":3},{"info":"compute unary expreesion, input=4132, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=1936","layer":4},{"info":"number node, value=8449","layer":4},{"info":"compute binary expreesion, left_input=1936, right_input=8449, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=16898","layer":3},{"info":"compute unary expreesion, input=16898, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-50773","layer":2},{"info":"number node, value=1610","layer":4},{"info":"number node, value=6230","layer":4},{"info":"compute binary expreesion, left_input=1610, right_input=6230, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-50773, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((⇁⨣⪵(≦∁≮⫘↔1000000100100))∸)⨰(≮⫘↔11110010000⇷≮⫘↔10000100000001⊦⊿)⊴(⊄⩳↩(≮⫘↔11001001010∑⇟⊟≮⫘↔1100001010110))=NaN","reverse_text":"NaN=((⇁⨣⪵(≦∁≮⫘↔1000000100100))∸)⨰(≮⫘↔11110010000⇷≮⫘↔10000100000001⊦⊿)⊴(⊄⩳↩(≮⫘↔11001001010∑⇟⊟≮⫘↔1100001010110))","cot":[{"info":"≦∁≮⫘↔1000000100100=≮⫘↔1000000100100","layer":3},{"info":"⇁⨣⪵≮⫘↔1000000100100=NaN","layer":2},{"info":"NaN∸=≮⫘↔10110001","layer":1},{"info":"≮⫘↔11110010000⇷≮⫘↔10000100000001=≮⫘↔100001000000010","layer":3},{"info":"≮⫘↔100001000000010⊦⊿=≮⫘↔-1100011001010101","layer":2},{"info":"≮⫘↔11001001010∑⇟⊟≮⫘↔1100001010110=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"≮⫘↔-1100011001010101⊴NaN=NaN","layer":1},{"info":"≮⫘↔10110001⨰NaN=NaN","layer":0}]}
{"id":948,"expression_no_base_symbol":"(($4245$≹⇙⪍$1332$⪠⩆⊳)⨸⪁($3041$≭$1430$⫌⩹⨱))⊘","expression":"((≮⫘↔1000010010101≹⇙⪍≮⫘↔10100110100⪠⩆⊳)⨸⪁(≮⫘↔101111100001≭≮⫘↔10110010110⫌⩹⨱))⊘","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":39,"operation_count":6,"complexity_ratio":6.5,"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":4245,"base":2},"right_expr":{"type":"numeric_atoms","value":1332,"base":2}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3041,"base":2},"right_expr":{"type":"numeric_atoms","value":1430,"base":2}}}}},"used_operators":["gu96TGCTMs","g55IO6H4Gj","JLbD19bQDL","AHs5Up7iyr","EBcxylXtPf","rxpJgHHUmx"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":false},"cot_info":[{"info":"number node, value=4245","layer":4},{"info":"number node, value=1332","layer":4},{"info":"compute binary expreesion, left_input=4245, right_input=1332, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 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":2},{"info":"number node, value=3041","layer":4},{"info":"number node, value=1430","layer":4},{"info":"compute binary expreesion, left_input=3041, right_input=1430, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":2},{"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":1},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1000010010101≹⇙⪍≮⫘↔10100110100⪠⩆⊳)⨸⪁(≮⫘↔101111100001≭≮⫘↔10110010110⫌⩹⨱))⊘=NaN","reverse_text":"NaN=((≮⫘↔1000010010101≹⇙⪍≮⫘↔10100110100⪠⩆⊳)⨸⪁(≮⫘↔101111100001≭≮⫘↔10110010110⫌⩹⨱))⊘","cot":[{"info":"≮⫘↔1000010010101≹⇙⪍≮⫘↔10100110100=NaN","layer":3},{"info":"NaN⪠⩆⊳=NaN","layer":2},{"info":"≮⫘↔101111100001≭≮⫘↔10110010110=NaN","layer":3},{"info":"NaN⫌⩹⨱=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
{"id":949,"expression_no_base_symbol":"(($2715$⫥∨⫟$1359$)∼($7168$%$5069$)⊭↱($3699$⪛$4302$)⪮%⊝($2470$⫸⊐$4767$))≣⋋","expression":"((≮⫘↔101010011011⫥∨⫟≮⫘↔10101001111)∼(≮⫘↔1110000000000%≮⫘↔1001111001101)⊭↱(≮⫘↔111001110011⪛≮⫘↔1000011001110)⪮%⊝(≮⫘↔100110100110⫸⊐≮⫘↔1001010011111))≣⋋","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":205,"operation_count":8,"complexity_ratio":25.625,"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":2715,"base":2},"right_expr":{"type":"numeric_atoms","value":1359,"base":2}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7168,"base":2},"right_expr":{"type":"numeric_atoms","value":5069,"base":2}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3699,"base":2},"right_expr":{"type":"numeric_atoms","value":4302,"base":2}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2470,"base":2},"right_expr":{"type":"numeric_atoms","value":4767,"base":2}}}}},"used_operators":["Tcnh7f0tEr","COABgblf1C","DyGG3AbaNP","KYD54nUTWz","k8jYdgA6NY","IWmyXbctLI","uFcxV4UQCh","mqXw5SEYmG"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2715","layer":4},{"info":"number node, value=1359","layer":4},{"info":"compute binary expreesion, left_input=2715, right_input=1359, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=7168","layer":4},{"info":"number node, value=5069","layer":4},{"info":"compute binary expreesion, left_input=7168, right_input=5069, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2099","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2099, 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=3699","layer":4},{"info":"number node, value=4302","layer":4},{"info":"compute binary expreesion, left_input=3699, right_input=4302, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3699","layer":3},{"info":"number node, value=2470","layer":4},{"info":"number node, value=4767","layer":4},{"info":"compute binary expreesion, left_input=2470, right_input=4767, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=18943","layer":3},{"info":"compute binary expreesion, left_input=3699, right_input=18943, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7714","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7714, 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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔101010011011⫥∨⫟≮⫘↔10101001111)∼(≮⫘↔1110000000000%≮⫘↔1001111001101)⊭↱(≮⫘↔111001110011⪛≮⫘↔1000011001110)⪮%⊝(≮⫘↔100110100110⫸⊐≮⫘↔1001010011111))≣⋋=NaN","reverse_text":"NaN=((≮⫘↔101010011011⫥∨⫟≮⫘↔10101001111)∼(≮⫘↔1110000000000%≮⫘↔1001111001101)⊭↱(≮⫘↔111001110011⪛≮⫘↔1000011001110)⪮%⊝(≮⫘↔100110100110⫸⊐≮⫘↔1001010011111))≣⋋","cot":[{"info":"≮⫘↔101010011011⫥∨⫟≮⫘↔10101001111=NaN","layer":3},{"info":"≮⫘↔1110000000000%≮⫘↔1001111001101=≮⫘↔100000110011","layer":3},{"info":"NaN∼≮⫘↔100000110011=NaN","layer":2},{"info":"≮⫘↔111001110011⪛≮⫘↔1000011001110=≮⫘↔111001110011","layer":3},{"info":"≮⫘↔100110100110⫸⊐≮⫘↔1001010011111=≮⫘↔100100111111111","layer":3},{"info":"≮⫘↔111001110011⪮%⊝≮⫘↔100100111111111=≮⫘↔1111000100010","layer":2},{"info":"NaN⊭↱≮⫘↔1111000100010=NaN","layer":1},{"info":"NaN≣⋋=NaN","layer":0}]}
{"id":950,"expression_no_base_symbol":"↔(($1511$⨎$1619$)≎⊠⪸($6300$≦≮≮)⊘)","expression":"↔((≮⫘↔10111100111⨎≮⫘↔11001010011)≎⊠⪸(≮⫘↔1100010011100≦≮≮)⊘)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":44,"operation_count":5,"complexity_ratio":8.8,"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":1511,"base":2},"right_expr":{"type":"numeric_atoms","value":1619,"base":2}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":6300,"base":2}}}}},"used_operators":["ruOEQAzv1W","gu96TGCTMs","bJkvcejdHO","rJVOvQCfKK","D4vGDi5EA2"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔1100010101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1511","layer":4},{"info":"number node, value=1619","layer":4},{"info":"compute binary expreesion, left_input=1511, right_input=1619, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1619","layer":3},{"info":"number node, value=6300","layer":4},{"info":"compute unary expreesion, input=6300, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-18900","layer":3},{"info":"compute binary expreesion, left_input=1619, right_input=-18900, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=789","layer":0}],"base":2,"result_base":2,"text":"↔((≮⫘↔10111100111⨎≮⫘↔11001010011)≎⊠⪸(≮⫘↔1100010011100≦≮≮)⊘)=≮⫘↔1100010101","reverse_text":"≮⫘↔1100010101=↔((≮⫘↔10111100111⨎≮⫘↔11001010011)≎⊠⪸(≮⫘↔1100010011100≦≮≮)⊘)","cot":[{"info":"≮⫘↔10111100111⨎≮⫘↔11001010011=≮⫘↔11001010011","layer":3},{"info":"≮⫘↔1100010011100≦≮≮=≮⫘↔-100100111010100","layer":3},{"info":"≮⫘↔11001010011≎⊠⪸≮⫘↔-100100111010100=≮⫘↔1000011","layer":2},{"info":"≮⫘↔1000011⊘=≮⫘↔0","layer":1},{"info":"↔≮⫘↔0=≮⫘↔1100010101","layer":0}]}
{"id":951,"expression_no_base_symbol":"($3062$∑⇟⊟$5166$⨓($1235$/$2695$))⪘⫢($1800$⨓$5636$)⇷(⫓⪴$2107$)⨽($1235$↬$1220$*(⇁⨣⪵$1783$))≧⫂∧($3136$⋥≓≎$3578$⨵⪆($4290$+$1334$))","expression":"(≮⫘↔101111110110∑⇟⊟≮⫘↔1010000101110⨓(≮⫘↔10011010011/≮⫘↔101010000111))⪘⫢(≮⫘↔11100001000⨓≮⫘↔1011000000100)⇷(⫓⪴≮⫘↔100000111011)⨽(≮⫘↔10011010011↬≮⫘↔10011000100*(⇁⨣⪵≮⫘↔11011110111))≧⫂∧(≮⫘↔110001000000⋥≓≎≮⫘↔110111111010⨵⪆(≮⫘↔1000011000010+≮⫘↔10100110110))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":86739,"operation_count":15,"complexity_ratio":5782.6,"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":3062,"base":2},"right_expr":{"type":"numeric_atoms","value":5166,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1235,"base":2},"right_expr":{"type":"numeric_atoms","value":2695,"base":2}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1800,"base":2},"right_expr":{"type":"numeric_atoms","value":5636,"base":2}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2107,"base":2}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1235,"base":2},"right_expr":{"type":"numeric_atoms","value":1220,"base":2}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1783,"base":2}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3136,"base":2},"right_expr":{"type":"numeric_atoms","value":3578,"base":2}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4290,"base":2},"right_expr":{"type":"numeric_atoms","value":1334,"base":2}}}}},"used_operators":["8HhzD0ZcuI","oacrs7FA3X","3ViojmjbAp","U7g4x0WXJJ","XhwjNDsVaA","mp7IySMOzn","eLxqMNBOBk","Ph9nP6C5qx","9HNa5Wba9A","B5M0gjZbta","inkyxCbjAn","2DQ55sFlQl","Qy55tPpLXF","W4YGzv6Whe"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3062","layer":4},{"info":"number node, value=5166","layer":4},{"info":"compute binary expreesion, left_input=3062, right_input=5166, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1235","layer":4},{"info":"number node, value=2695","layer":4},{"info":"compute binary expreesion, left_input=1235, right_input=2695, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"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":2},{"info":"number node, value=1800","layer":4},{"info":"number node, value=5636","layer":4},{"info":"compute binary expreesion, left_input=1800, right_input=5636, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5639","layer":3},{"info":"number node, value=2107","layer":4},{"info":"compute unary expreesion, input=2107, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4439449","layer":3},{"info":"compute binary expreesion, left_input=-5639, right_input=4439449, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8878898","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8878898, 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=1235","layer":4},{"info":"number node, value=1220","layer":4},{"info":"compute binary expreesion, left_input=1235, right_input=1220, 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=1783","layer":4},{"info":"compute unary expreesion, input=1783, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3136","layer":4},{"info":"number node, value=3578","layer":4},{"info":"compute binary expreesion, left_input=3136, right_input=3578, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4053","layer":3},{"info":"number node, value=4290","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=4290, right_input=1334, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5624","layer":3},{"info":"compute binary expreesion, left_input=4053, right_input=5624, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-313","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-313, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101111110110∑⇟⊟≮⫘↔1010000101110⨓(≮⫘↔10011010011/≮⫘↔101010000111))⪘⫢(≮⫘↔11100001000⨓≮⫘↔1011000000100)⇷(⫓⪴≮⫘↔100000111011)⨽(≮⫘↔10011010011↬≮⫘↔10011000100*(⇁⨣⪵≮⫘↔11011110111))≧⫂∧(≮⫘↔110001000000⋥≓≎≮⫘↔110111111010⨵⪆(≮⫘↔1000011000010+≮⫘↔10100110110))=NaN","reverse_text":"NaN=(≮⫘↔101111110110∑⇟⊟≮⫘↔1010000101110⨓(≮⫘↔10011010011/≮⫘↔101010000111))⪘⫢(≮⫘↔11100001000⨓≮⫘↔1011000000100)⇷(⫓⪴≮⫘↔100000111011)⨽(≮⫘↔10011010011↬≮⫘↔10011000100*(⇁⨣⪵≮⫘↔11011110111))≧⫂∧(≮⫘↔110001000000⋥≓≎≮⫘↔110111111010⨵⪆(≮⫘↔1000011000010+≮⫘↔10100110110))","cot":[{"info":"≮⫘↔101111110110∑⇟⊟≮⫘↔1010000101110=NaN","layer":3},{"info":"≮⫘↔10011010011/≮⫘↔101010000111=≮⫘↔0","layer":3},{"info":"NaN⨓≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔11100001000⨓≮⫘↔1011000000100=≮⫘↔-1011000000111","layer":3},{"info":"⫓⪴≮⫘↔100000111011=≮⫘↔10000111011110110011001","layer":3},{"info":"≮⫘↔-1011000000111⇷≮⫘↔10000111011110110011001=≮⫘↔100001110111101100110010","layer":2},{"info":"NaN⪘⫢≮⫘↔100001110111101100110010=NaN","layer":1},{"info":"≮⫘↔10011010011↬≮⫘↔10011000100=NaN","layer":3},{"info":"⇁⨣⪵≮⫘↔11011110111=NaN","layer":3},{"info":"NaN*NaN=NaN","layer":2},{"info":"≮⫘↔110001000000⋥≓≎≮⫘↔110111111010=≮⫘↔111111010101","layer":3},{"info":"≮⫘↔1000011000010+≮⫘↔10100110110=≮⫘↔1010111111000","layer":3},{"info":"≮⫘↔111111010101⨵⪆≮⫘↔1010111111000=≮⫘↔10100000","layer":2},{"info":"NaN≧⫂∧≮⫘↔10100000=≮⫘↔-100111001","layer":1},{"info":"NaN⨽≮⫘↔-100111001=NaN","layer":0}]}
{"id":952,"expression_no_base_symbol":"(⋗⩬⋾(($2655$⫥∨⫟$7471$)⋫))⪄($2327$*$3737$⪨≂$3486$*$6407$)↺($6306$≧⫂∧$7340$)⪢($3377$⋓$1947$)","expression":"(⋗⩬⋾((≮⫘↔101001011111⫥∨⫟≮⫘↔1110100101111)⋫))⪄(≮⫘↔100100010111*≮⫘↔111010011001⪨≂≮⫘↔110110011110*≮⫘↔1100100000111)↺(≮⫘↔1100010100010≧⫂∧≮⫘↔1110010101100)⪢(≮⫘↔110100110001⋓≮⫘↔11110011011)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6015,"operation_count":11,"complexity_ratio":546.8181818181819,"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":2655,"base":2},"right_expr":{"type":"numeric_atoms","value":7471,"base":2}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2327,"base":2},"right_expr":{"type":"numeric_atoms","value":3737,"base":2}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3486,"base":2},"right_expr":{"type":"numeric_atoms","value":6407,"base":2}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6306,"base":2},"right_expr":{"type":"numeric_atoms","value":7340,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3377,"base":2},"right_expr":{"type":"numeric_atoms","value":1947,"base":2}}}}},"used_operators":["SUmda5xLS4","DpFCA1CohY","JL8yIekQnl","KYD54nUTWz","7j4O788W3g","sdazOOVcIp","9HNa5Wba9A","dWAJyo7jo9","Ph9nP6C5qx","T2fj7uvVaJ"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"≮⫘↔111110001011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2655","layer":4},{"info":"number node, value=7471","layer":4},{"info":"compute binary expreesion, left_input=2655, right_input=7471, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = '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":"number node, value=2327","layer":4},{"info":"number node, value=3737","layer":4},{"info":"compute binary expreesion, left_input=2327, right_input=3737, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8695999","layer":3},{"info":"number node, value=3486","layer":4},{"info":"number node, value=6407","layer":4},{"info":"compute binary expreesion, left_input=3486, right_input=6407, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=22334802","layer":3},{"info":"compute binary expreesion, left_input=8695999, right_input=22334802, 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=-27277504","layer":2},{"info":"number node, value=6306","layer":4},{"info":"number node, value=7340","layer":4},{"info":"compute binary expreesion, left_input=6306, right_input=7340, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6867","layer":3},{"info":"number node, value=3377","layer":4},{"info":"number node, value=1947","layer":4},{"info":"compute binary expreesion, left_input=3377, right_input=1947, 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=6867, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=-27277504, 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":2,"result_base":2,"text":"(⋗⩬⋾((≮⫘↔101001011111⫥∨⫟≮⫘↔1110100101111)⋫))⪄(≮⫘↔100100010111*≮⫘↔111010011001⪨≂≮⫘↔110110011110*≮⫘↔1100100000111)↺(≮⫘↔1100010100010≧⫂∧≮⫘↔1110010101100)⪢(≮⫘↔110100110001⋓≮⫘↔11110011011)=≮⫘↔111110001011","reverse_text":"≮⫘↔111110001011=(⋗⩬⋾((≮⫘↔101001011111⫥∨⫟≮⫘↔1110100101111)⋫))⪄(≮⫘↔100100010111*≮⫘↔111010011001⪨≂≮⫘↔110110011110*≮⫘↔1100100000111)↺(≮⫘↔1100010100010≧⫂∧≮⫘↔1110010101100)⪢(≮⫘↔110100110001⋓≮⫘↔11110011011)","cot":[{"info":"≮⫘↔101001011111⫥∨⫟≮⫘↔1110100101111=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"≮⫘↔100100010111*≮⫘↔111010011001=≮⫘↔100001001011000010111111","layer":3},{"info":"≮⫘↔110110011110*≮⫘↔1100100000111=≮⫘↔1010101001100110101010010","layer":3},{"info":"≮⫘↔100001001011000010111111⪨≂≮⫘↔1010101001100110101010010=≮⫘↔-1101000000011100011000000","layer":2},{"info":"≮⫘↔1100010100010≧⫂∧≮⫘↔1110010101100=≮⫘↔1101011010011","layer":3},{"info":"≮⫘↔110100110001⋓≮⫘↔11110011011=≮⫘↔0","layer":3},{"info":"≮⫘↔1101011010011⪢≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔-1101000000011100011000000↺≮⫘↔0=≮⫘↔0","layer":1},{"info":"NaN⪄≮⫘↔0=≮⫘↔111110001011","layer":0}]}
{"id":953,"expression_no_base_symbol":"($1006$⪘⫢$6307$∑⇟⊟($2370$⨰$1512$)-$1999$⪘⫢$1052$⋝⋈⪟($2849$⪒$8601$))⊭↱($2300$⨰$2720$)⪢(⨈⫕$1106$)⨰(($4396$≫≃)⊠≄⫣)","expression":"(≮⫘↔1111101110⪘⫢≮⫘↔1100010100011∑⇟⊟(≮⫘↔100101000010⨰≮⫘↔10111101000)-≮⫘↔11111001111⪘⫢≮⫘↔10000011100⋝⋈⪟(≮⫘↔101100100001⪒≮⫘↔10000110011001))⊭↱(≮⫘↔100011111100⨰≮⫘↔101010100000)⪢(⨈⫕≮⫘↔10001010010)⨰((≮⫘↔1000100101100≫≃)⊠≄⫣)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":754308,"operation_count":14,"complexity_ratio":53879.142857142855,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1006,"base":2},"right_expr":{"type":"numeric_atoms","value":6307,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2370,"base":2},"right_expr":{"type":"numeric_atoms","value":1512,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1999,"base":2},"right_expr":{"type":"numeric_atoms","value":1052,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2849,"base":2},"right_expr":{"type":"numeric_atoms","value":8601,"base":2}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2300,"base":2},"right_expr":{"type":"numeric_atoms","value":2720,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1106,"base":2}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4396,"base":2}}}}},"used_operators":["COABgblf1C","rysDP5nf3Z","U7g4x0WXJJ","oacrs7FA3X","eewbuw0ToL","2DDjHMKMc0","f6k1SAg4EE","dWAJyo7jo9","megm06wKyl","DIvbN7qnHd","X99M06cbEe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1006","layer":4},{"info":"number node, value=6307","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=6307, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1888","layer":3},{"info":"number node, value=2370","layer":4},{"info":"number node, value=1512","layer":4},{"info":"compute binary expreesion, left_input=2370, right_input=1512, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=1888, right_input=868, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1999","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=1999, right_input=1052, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3874","layer":3},{"info":"number node, value=2849","layer":4},{"info":"number node, value=8601","layer":4},{"info":"compute binary expreesion, left_input=2849, right_input=8601, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11450","layer":3},{"info":"compute binary expreesion, left_input=3874, right_input=-11450, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3874","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3874, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2300","layer":4},{"info":"number node, value=2720","layer":4},{"info":"compute binary expreesion, left_input=2300, right_input=2720, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-410","layer":3},{"info":"number node, value=1106","layer":4},{"info":"compute unary expreesion, input=1106, 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=-410, right_input=-21, 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=4396","layer":4},{"info":"compute unary expreesion, input=4396, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10193","layer":3},{"info":"compute unary expreesion, input=10193, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"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":0}],"base":2,"result_base":2,"text":"(≮⫘↔1111101110⪘⫢≮⫘↔1100010100011∑⇟⊟(≮⫘↔100101000010⨰≮⫘↔10111101000)-≮⫘↔11111001111⪘⫢≮⫘↔10000011100⋝⋈⪟(≮⫘↔101100100001⪒≮⫘↔10000110011001))⊭↱(≮⫘↔100011111100⨰≮⫘↔101010100000)⪢(⨈⫕≮⫘↔10001010010)⨰((≮⫘↔1000100101100≫≃)⊠≄⫣)=NaN","reverse_text":"NaN=(≮⫘↔1111101110⪘⫢≮⫘↔1100010100011∑⇟⊟(≮⫘↔100101000010⨰≮⫘↔10111101000)-≮⫘↔11111001111⪘⫢≮⫘↔10000011100⋝⋈⪟(≮⫘↔101100100001⪒≮⫘↔10000110011001))⊭↱(≮⫘↔100011111100⨰≮⫘↔101010100000)⪢(⨈⫕≮⫘↔10001010010)⨰((≮⫘↔1000100101100≫≃)⊠≄⫣)","cot":[{"info":"≮⫘↔1111101110⪘⫢≮⫘↔1100010100011=≮⫘↔11101100000","layer":3},{"info":"≮⫘↔100101000010⨰≮⫘↔10111101000=≮⫘↔1101100100","layer":3},{"info":"≮⫘↔11101100000∑⇟⊟≮⫘↔1101100100=NaN","layer":2},{"info":"≮⫘↔11111001111⪘⫢≮⫘↔10000011100=≮⫘↔111100100010","layer":3},{"info":"≮⫘↔101100100001⪒≮⫘↔10000110011001=≮⫘↔-10110010111010","layer":3},{"info":"≮⫘↔111100100010⋝⋈⪟≮⫘↔-10110010111010=≮⫘↔111100100010","layer":2},{"info":"NaN-≮⫘↔111100100010=NaN","layer":1},{"info":"≮⫘↔100011111100⨰≮⫘↔101010100000=≮⫘↔-110011010","layer":3},{"info":"⨈⫕≮⫘↔10001010010=≮⫘↔-10101","layer":3},{"info":"≮⫘↔-110011010⪢≮⫘↔-10101=NaN","layer":2},{"info":"≮⫘↔1000100101100≫≃=≮⫘↔10011111010001","layer":3},{"info":"≮⫘↔10011111010001⊠≄⫣=≮⫘↔0","layer":2},{"info":"NaN⨰≮⫘↔0=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":954,"expression_no_base_symbol":"((↯⪼$1385$)⪒$7769$⨓$4460$⋷$2191$∀⇚≩$1150$≧⫂∧($7962$∲⫓$6519$))⫸⊐(⫓⪴(⨵≀≌$6646$∀⇚≩$2544$))","expression":"((↯⪼≮⫘↔10101101001)⪒≮⫘↔1111001011001⨓≮⫘↔1000101101100⋷≮⫘↔100010001111∀⇚≩≮⫘↔10001111110≧⫂∧(≮⫘↔1111100011010∲⫓≮⫘↔1100101110111))⫸⊐(⫓⪴(⨵≀≌≮⫘↔1100111110110∀⇚≩≮⫘↔100111110000))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":66373,"operation_count":11,"complexity_ratio":6033.909090909091,"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":1385,"base":2}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7769,"base":2},"right_expr":{"type":"numeric_atoms","value":4460,"base":2}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2191,"base":2},"right_expr":{"type":"numeric_atoms","value":1150,"base":2}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":7962,"base":2},"right_expr":{"type":"numeric_atoms","value":6519,"base":2}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6646,"base":2},"right_expr":{"type":"numeric_atoms","value":2544,"base":2}}}}},"used_operators":["mqXw5SEYmG","23Mk6UjR3U","f6k1SAg4EE","8jW3W4yZS5","3ViojmjbAp","Ph9nP6C5qx","LRNGc0VcxI","i8ToyICDmI","eLxqMNBOBk","srAu1WTS94"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"≮⫘↔1111001000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1385","layer":4},{"info":"compute unary expreesion, input=1385, 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=7769","layer":4},{"info":"number node, value=4460","layer":4},{"info":"compute binary expreesion, left_input=7769, right_input=4460, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4463","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-4463, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=4484","layer":2},{"info":"number node, value=2191","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=2191, right_input=1150, 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=7962","layer":4},{"info":"number node, value=6519","layer":4},{"info":"compute binary expreesion, left_input=7962, right_input=6519, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=4484, right_input=-473, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-5430","layer":1},{"info":"number node, value=6646","layer":4},{"info":"number node, value=2544","layer":4},{"info":"compute binary expreesion, left_input=6646, right_input=2544, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-5430, 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":0}],"base":2,"result_base":2,"text":"((↯⪼≮⫘↔10101101001)⪒≮⫘↔1111001011001⨓≮⫘↔1000101101100⋷≮⫘↔100010001111∀⇚≩≮⫘↔10001111110≧⫂∧(≮⫘↔1111100011010∲⫓≮⫘↔1100101110111))⫸⊐(⫓⪴(⨵≀≌≮⫘↔1100111110110∀⇚≩≮⫘↔100111110000))=≮⫘↔1111001000","reverse_text":"≮⫘↔1111001000=((↯⪼≮⫘↔10101101001)⪒≮⫘↔1111001011001⨓≮⫘↔1000101101100⋷≮⫘↔100010001111∀⇚≩≮⫘↔10001111110≧⫂∧(≮⫘↔1111100011010∲⫓≮⫘↔1100101110111))⫸⊐(⫓⪴(⨵≀≌≮⫘↔1100111110110∀⇚≩≮⫘↔100111110000))","cot":[{"info":"↯⪼≮⫘↔10101101001=≮⫘↔-10101","layer":3},{"info":"≮⫘↔1111001011001⨓≮⫘↔1000101101100=≮⫘↔-1000101101111","layer":3},{"info":"≮⫘↔-10101⪒≮⫘↔-1000101101111=≮⫘↔1000110000100","layer":2},{"info":"≮⫘↔100010001111∀⇚≩≮⫘↔10001111110=NaN","layer":3},{"info":"≮⫘↔1111100011010∲⫓≮⫘↔1100101110111=≮⫘↔0","layer":3},{"info":"NaN≧⫂∧≮⫘↔0=≮⫘↔-111011001","layer":2},{"info":"≮⫘↔1000110000100⋷≮⫘↔-111011001=≮⫘↔-1010100110110","layer":1},{"info":"≮⫘↔1100111110110∀⇚≩≮⫘↔100111110000=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"≮⫘↔-1010100110110⫸⊐NaN=≮⫘↔1111001000","layer":0}]}
{"id":955,"expression_no_base_symbol":"($3823$⪄$1343$)≹⇙⪍($3797$-$2966$)∀⇚≩($3802$↬$6106$⩷∴$4414$⪘⫢$8183$)⪄($7756$⨽$1765$⩨($3659$⊘))⪢((-$1657$)∑⇟⊟$2783$≹⇙⪍$1170$)","expression":"(≮⫘↔111011101111⪄≮⫘↔10100111111)≹⇙⪍(≮⫘↔111011010101-≮⫘↔101110010110)∀⇚≩(≮⫘↔111011011010↬≮⫘↔1011111011010⩷∴≮⫘↔1000100111110⪘⫢≮⫘↔1111111110111)⪄(≮⫘↔1111001001100⨽≮⫘↔11011100101⩨(≮⫘↔111001001011⊘))⪢((-≮⫘↔11001111001)∑⇟⊟≮⫘↔101011011111≹⇙⪍≮⫘↔10010010010)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":901868,"operation_count":15,"complexity_ratio":60124.53333333333,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3823,"base":2},"right_expr":{"type":"numeric_atoms","value":1343,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3797,"base":2},"right_expr":{"type":"numeric_atoms","value":2966,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3802,"base":2},"right_expr":{"type":"numeric_atoms","value":6106,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4414,"base":2},"right_expr":{"type":"numeric_atoms","value":8183,"base":2}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7756,"base":2},"right_expr":{"type":"numeric_atoms","value":1765,"base":2}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3659,"base":2}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1657,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2783,"base":2},"right_expr":{"type":"numeric_atoms","value":1170,"base":2}}}}},"used_operators":["SUmda5xLS4","LRNGc0VcxI","AHs5Up7iyr","rysDP5nf3Z","9FxExcQeMw","B5M0gjZbta","oacrs7FA3X","dWAJyo7jo9","2DlMacCsIx","8HhzD0ZcuI","gu96TGCTMs","U7g4x0WXJJ","t8gj7n24qd"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","X99M06cbEe","dWAJyo7jo9","rysDP5nf3Z","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"≮⫘↔111110001011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3823","layer":4},{"info":"number node, value=1343","layer":4},{"info":"compute binary expreesion, left_input=3823, right_input=1343, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-567265","layer":3},{"info":"number node, value=3797","layer":4},{"info":"number node, value=2966","layer":4},{"info":"compute binary expreesion, left_input=3797, right_input=2966, op_id = rysDP5nf3Z binary_op_definition= 'None', output=831","layer":3},{"info":"compute binary expreesion, left_input=-567265, right_input=831, 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=3802","layer":4},{"info":"number node, value=6106","layer":4},{"info":"compute binary expreesion, left_input=3802, right_input=6106, 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=4414","layer":4},{"info":"number node, value=8183","layer":4},{"info":"compute binary expreesion, left_input=4414, right_input=8183, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8704","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8704, 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 = 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=7756","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=7756, right_input=1765, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-180470589","layer":3},{"info":"number node, value=3659","layer":4},{"info":"compute unary expreesion, input=3659, 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=-180470589, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"number node, value=1657","layer":4},{"info":"compute unary expreesion, input=1657, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1657","layer":3},{"info":"number node, value=2783","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=2783, right_input=1170, 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=-1657, right_input=nan, 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=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":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔111011101111⪄≮⫘↔10100111111)≹⇙⪍(≮⫘↔111011010101-≮⫘↔101110010110)∀⇚≩(≮⫘↔111011011010↬≮⫘↔1011111011010⩷∴≮⫘↔1000100111110⪘⫢≮⫘↔1111111110111)⪄(≮⫘↔1111001001100⨽≮⫘↔11011100101⩨(≮⫘↔111001001011⊘))⪢((-≮⫘↔11001111001)∑⇟⊟≮⫘↔101011011111≹⇙⪍≮⫘↔10010010010)=≮⫘↔111110001011","reverse_text":"≮⫘↔111110001011=(≮⫘↔111011101111⪄≮⫘↔10100111111)≹⇙⪍(≮⫘↔111011010101-≮⫘↔101110010110)∀⇚≩(≮⫘↔111011011010↬≮⫘↔1011111011010⩷∴≮⫘↔1000100111110⪘⫢≮⫘↔1111111110111)⪄(≮⫘↔1111001001100⨽≮⫘↔11011100101⩨(≮⫘↔111001001011⊘))⪢((-≮⫘↔11001111001)∑⇟⊟≮⫘↔101011011111≹⇙⪍≮⫘↔10010010010)","cot":[{"info":"≮⫘↔111011101111⪄≮⫘↔10100111111=≮⫘↔-10001010011111100001","layer":3},{"info":"≮⫘↔111011010101-≮⫘↔101110010110=≮⫘↔1100111111","layer":3},{"info":"≮⫘↔-10001010011111100001≹⇙⪍≮⫘↔1100111111=NaN","layer":2},{"info":"≮⫘↔111011011010↬≮⫘↔1011111011010=NaN","layer":3},{"info":"≮⫘↔1000100111110⪘⫢≮⫘↔1111111110111=≮⫘↔10001000000000","layer":3},{"info":"NaN⩷∴≮⫘↔10001000000000=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"≮⫘↔1111001001100⨽≮⫘↔11011100101=≮⫘↔-1010110000011100001100111101","layer":3},{"info":"≮⫘↔111001001011⊘=≮⫘↔0","layer":3},{"info":"≮⫘↔-1010110000011100001100111101⩨≮⫘↔0=≮⫘↔0","layer":2},{"info":"-≮⫘↔11001111001=≮⫘↔-11001111001","layer":3},{"info":"≮⫘↔101011011111≹⇙⪍≮⫘↔10010010010=NaN","layer":3},{"info":"≮⫘↔-11001111001∑⇟⊟NaN=NaN","layer":2},{"info":"≮⫘↔0⪢NaN=NaN","layer":1},{"info":"NaN⪄NaN=≮⫘↔111110001011","layer":0}]}
{"id":956,"expression_no_base_symbol":"↯⪼((⩦⩻⨪$1969$↬$4437$)⨵⪆(⫓⪴(⩦⩻⨪$8190$)))","expression":"↯⪼((⩦⩻⨪≮⫘↔11110110001↬≮⫘↔1000101010101)⨵⪆(⫓⪴(⩦⩻⨪≮⫘↔1111111111110)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":8229,"operation_count":6,"complexity_ratio":1371.5,"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":1969,"base":2},"right_expr":{"type":"numeric_atoms","value":4437,"base":2}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":8190,"base":2}}}}},"used_operators":["8jW3W4yZS5","2DQ55sFlQl","2td37pGCOC","B5M0gjZbta","eLxqMNBOBk"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","9HNa5Wba9A"],"result":"≮⫘↔-10101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1969","layer":4},{"info":"number node, value=4437","layer":4},{"info":"compute binary expreesion, left_input=1969, right_input=4437, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":2},{"info":"number node, value=8190","layer":4},{"info":"compute unary expreesion, input=8190, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=8190","layer":3},{"info":"compute unary expreesion, input=8190, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=67076100","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67076100, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":2,"result_base":2,"text":"↯⪼((⩦⩻⨪≮⫘↔11110110001↬≮⫘↔1000101010101)⨵⪆(⫓⪴(⩦⩻⨪≮⫘↔1111111111110)))=≮⫘↔-10101","reverse_text":"≮⫘↔-10101=↯⪼((⩦⩻⨪≮⫘↔11110110001↬≮⫘↔1000101010101)⨵⪆(⫓⪴(⩦⩻⨪≮⫘↔1111111111110)))","cot":[{"info":"≮⫘↔11110110001↬≮⫘↔1000101010101=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⩦⩻⨪≮⫘↔1111111111110=≮⫘↔1111111111110","layer":3},{"info":"⫓⪴≮⫘↔1111111111110=≮⫘↔11111111111000000000000100","layer":2},{"info":"NaN⨵⪆≮⫘↔11111111111000000000000100=≮⫘↔10100000","layer":1},{"info":"↯⪼≮⫘↔10100000=≮⫘↔-10101","layer":0}]}
{"id":957,"expression_no_base_symbol":"($2688$≭$1818$⨁⊸⫻)⪛($2049$⪘⫢$1915$)⊴($3194$⪄$1188$)%($2422$⨽$6674$/$2233$⪄$3007$)≭($3529$⨰$1936$)∼($1095$⋷$1379$)","expression":"(≮⫘↔101010000000≭≮⫘↔11100011010⨁⊸⫻)⪛(≮⫘↔100000000001⪘⫢≮⫘↔11101111011)⊴(≮⫘↔110001111010⪄≮⫘↔10010100100)%(≮⫘↔100101110110⨽≮⫘↔1101000010010/≮⫘↔100010111001⪄≮⫘↔101110111111)≭(≮⫘↔110111001001⨰≮⫘↔11110010000)∼(≮⫘↔10001000111⋷≮⫘↔10101100011)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":476297,"operation_count":14,"complexity_ratio":34021.21428571428,"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":2688,"base":2},"right_expr":{"type":"numeric_atoms","value":1818,"base":2}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2049,"base":2},"right_expr":{"type":"numeric_atoms","value":1915,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3194,"base":2},"right_expr":{"type":"numeric_atoms","value":1188,"base":2}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2422,"base":2},"right_expr":{"type":"numeric_atoms","value":6674,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2233,"base":2},"right_expr":{"type":"numeric_atoms","value":3007,"base":2}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3529,"base":2},"right_expr":{"type":"numeric_atoms","value":1936,"base":2}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1095,"base":2},"right_expr":{"type":"numeric_atoms","value":1379,"base":2}}}}},"used_operators":["k8jYdgA6NY","uFcxV4UQCh","glklzrTFfD","rxpJgHHUmx","Nsiff2A1zJ","oacrs7FA3X","SUmda5xLS4","XhwjNDsVaA","8HhzD0ZcuI","DyGG3AbaNP","eewbuw0ToL","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2688","layer":4},{"info":"number node, value=1818","layer":4},{"info":"compute binary expreesion, left_input=2688, right_input=1818, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":2},{"info":"number node, value=2049","layer":4},{"info":"number node, value=1915","layer":4},{"info":"compute binary expreesion, left_input=2049, right_input=1915, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3974","layer":3},{"info":"number node, value=3194","layer":4},{"info":"number node, value=1188","layer":4},{"info":"compute binary expreesion, left_input=3194, right_input=1188, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-473553","layer":3},{"info":"compute binary expreesion, left_input=3974, right_input=-473553, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=2422","layer":4},{"info":"number node, value=6674","layer":4},{"info":"compute binary expreesion, left_input=2422, right_input=6674, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-17616960","layer":3},{"info":"number node, value=2233","layer":4},{"info":"number node, value=3007","layer":4},{"info":"compute binary expreesion, left_input=2233, right_input=3007, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-338601","layer":3},{"info":"compute binary expreesion, left_input=-17616960, right_input=-338601, op_id = XhwjNDsVaA binary_op_definition= 'None', output=52","layer":2},{"info":"number node, value=3529","layer":4},{"info":"number node, value=1936","layer":4},{"info":"compute binary expreesion, left_input=3529, right_input=1936, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1603","layer":3},{"info":"number node, value=1095","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=1379, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1663","layer":3},{"info":"compute binary expreesion, left_input=1603, right_input=1663, 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=52, 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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101010000000≭≮⫘↔11100011010⨁⊸⫻)⪛(≮⫘↔100000000001⪘⫢≮⫘↔11101111011)⊴(≮⫘↔110001111010⪄≮⫘↔10010100100)%(≮⫘↔100101110110⨽≮⫘↔1101000010010/≮⫘↔100010111001⪄≮⫘↔101110111111)≭(≮⫘↔110111001001⨰≮⫘↔11110010000)∼(≮⫘↔10001000111⋷≮⫘↔10101100011)=NaN","reverse_text":"NaN=(≮⫘↔101010000000≭≮⫘↔11100011010⨁⊸⫻)⪛(≮⫘↔100000000001⪘⫢≮⫘↔11101111011)⊴(≮⫘↔110001111010⪄≮⫘↔10010100100)%(≮⫘↔100101110110⨽≮⫘↔1101000010010/≮⫘↔100010111001⪄≮⫘↔101110111111)≭(≮⫘↔110111001001⨰≮⫘↔11110010000)∼(≮⫘↔10001000111⋷≮⫘↔10101100011)","cot":[{"info":"≮⫘↔101010000000≭≮⫘↔11100011010=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"≮⫘↔100000000001⪘⫢≮⫘↔11101111011=≮⫘↔111110000110","layer":3},{"info":"≮⫘↔110001111010⪄≮⫘↔10010100100=≮⫘↔-1110011100111010001","layer":3},{"info":"≮⫘↔111110000110⊴≮⫘↔-1110011100111010001=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"≮⫘↔100101110110⨽≮⫘↔1101000010010=≮⫘↔-1000011001101000001000000","layer":3},{"info":"≮⫘↔100010111001⪄≮⫘↔101110111111=≮⫘↔-1010010101010101001","layer":3},{"info":"≮⫘↔-1000011001101000001000000/≮⫘↔-1010010101010101001=≮⫘↔110100","layer":2},{"info":"≮⫘↔110111001001⨰≮⫘↔11110010000=≮⫘↔11001000011","layer":3},{"info":"≮⫘↔10001000111⋷≮⫘↔10101100011=≮⫘↔11001111111","layer":3},{"info":"≮⫘↔11001000011∼≮⫘↔11001111111=NaN","layer":2},{"info":"≮⫘↔110100≭NaN=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":958,"expression_no_base_symbol":"(($1676$*$1510$%($1635$≣⋋))⩨(⨰⫟⨤(∥⊫$3205$)))⫥∨⫟(($1072$⋓$6679$)∀⇚≩($1728$⨸⪁$1387$)-($6858$⫩⊇)⩷∴($5407$⇼⇔∾$6412$))","expression":"((≮⫘↔11010001100*≮⫘↔10111100110%(≮⫘↔11001100011≣⋋))⩨(⨰⫟⨤(∥⊫≮⫘↔110010000101)))⫥∨⫟((≮⫘↔10000110000⋓≮⫘↔1101000010111)∀⇚≩(≮⫘↔11011000000⨸⪁≮⫘↔10101101011)-(≮⫘↔1101011001010⫩⊇)⩷∴(≮⫘↔1010100011111⇼⇔∾≮⫘↔1100100001100))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17667,"operation_count":14,"complexity_ratio":1261.9285714285713,"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":1676,"base":2},"right_expr":{"type":"numeric_atoms","value":1510,"base":2}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1635,"base":2}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3205,"base":2}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1072,"base":2},"right_expr":{"type":"numeric_atoms","value":6679,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1728,"base":2},"right_expr":{"type":"numeric_atoms","value":1387,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":6858,"base":2}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5407,"base":2},"right_expr":{"type":"numeric_atoms","value":6412,"base":2}}}}},"used_operators":["KYD54nUTWz","2DlMacCsIx","k8jYdgA6NY","9HNa5Wba9A","Tcnh7f0tEr","Tw270M8GLb","P8v4zCKN1o","rysDP5nf3Z","LRNGc0VcxI","T2fj7uvVaJ","g55IO6H4Gj","9FxExcQeMw","BjRHVeLaeN","tifHPKVTfV"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1676","layer":4},{"info":"number node, value=1510","layer":4},{"info":"compute binary expreesion, left_input=1676, right_input=1510, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2530760","layer":3},{"info":"number node, value=1635","layer":4},{"info":"compute unary expreesion, input=1635, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2530760, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3205","layer":4},{"info":"compute unary expreesion, input=3205, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4073","layer":3},{"info":"compute unary expreesion, input=4073, 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=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=1072","layer":4},{"info":"number node, value=6679","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=6679, 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=1728","layer":4},{"info":"number node, value=1387","layer":4},{"info":"compute binary expreesion, left_input=1728, right_input=1387, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6230","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6230, 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=6230","layer":2},{"info":"number node, value=6858","layer":4},{"info":"compute unary expreesion, input=6858, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-6816","layer":3},{"info":"number node, value=5407","layer":4},{"info":"number node, value=6412","layer":4},{"info":"compute binary expreesion, left_input=5407, right_input=6412, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1005","layer":3},{"info":"compute binary expreesion, left_input=-6816, right_input=1005, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-15674","layer":2},{"info":"compute binary expreesion, left_input=6230, right_input=-15674, op_id = rysDP5nf3Z binary_op_definition= 'None', output=21904","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=21904, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11010001100*≮⫘↔10111100110%(≮⫘↔11001100011≣⋋))⩨(⨰⫟⨤(∥⊫≮⫘↔110010000101)))⫥∨⫟((≮⫘↔10000110000⋓≮⫘↔1101000010111)∀⇚≩(≮⫘↔11011000000⨸⪁≮⫘↔10101101011)-(≮⫘↔1101011001010⫩⊇)⩷∴(≮⫘↔1010100011111⇼⇔∾≮⫘↔1100100001100))=NaN","reverse_text":"NaN=((≮⫘↔11010001100*≮⫘↔10111100110%(≮⫘↔11001100011≣⋋))⩨(⨰⫟⨤(∥⊫≮⫘↔110010000101)))⫥∨⫟((≮⫘↔10000110000⋓≮⫘↔1101000010111)∀⇚≩(≮⫘↔11011000000⨸⪁≮⫘↔10101101011)-(≮⫘↔1101011001010⫩⊇)⩷∴(≮⫘↔1010100011111⇼⇔∾≮⫘↔1100100001100))","cot":[{"info":"≮⫘↔11010001100*≮⫘↔10111100110=≮⫘↔1001101001110111001000","layer":3},{"info":"≮⫘↔11001100011≣⋋=≮⫘↔0","layer":3},{"info":"≮⫘↔1001101001110111001000%≮⫘↔0=NaN","layer":2},{"info":"∥⊫≮⫘↔110010000101=≮⫘↔111111101001","layer":3},{"info":"⨰⫟⨤≮⫘↔111111101001=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"≮⫘↔10000110000⋓≮⫘↔1101000010111=≮⫘↔0","layer":3},{"info":"≮⫘↔11011000000⨸⪁≮⫘↔10101101011=≮⫘↔1100001010110","layer":3},{"info":"≮⫘↔0∀⇚≩≮⫘↔1100001010110=≮⫘↔1100001010110","layer":2},{"info":"≮⫘↔1101011001010⫩⊇=≮⫘↔-1101010100000","layer":3},{"info":"≮⫘↔1010100011111⇼⇔∾≮⫘↔1100100001100=≮⫘↔1111101101","layer":3},{"info":"≮⫘↔-1101010100000⩷∴≮⫘↔1111101101=≮⫘↔-11110100111010","layer":2},{"info":"≮⫘↔1100001010110-≮⫘↔-11110100111010=≮⫘↔101010110010000","layer":1},{"info":"NaN⫥∨⫟≮⫘↔101010110010000=NaN","layer":0}]}
{"id":959,"expression_no_base_symbol":"(⊙↵-(⪝⪂⫅$4968$⨪↰⇹$5875$))⨳⩥⨓(⨰⫟⨤($2321$⊘))⩚⊴⇥($7583$↙$2178$⊉≛↸(⩦⩻⨪$3343$))","expression":"(⊙↵-(⪝⪂⫅≮⫘↔1001101101000⨪↰⇹≮⫘↔1011011110011))⨳⩥⨓(⨰⫟⨤(≮⫘↔100100010001⊘))⩚⊴⇥(≮⫘↔1110110011111↙≮⫘↔100010000010⊉≛↸(⩦⩻⨪≮⫘↔110100001111))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":738553,"operation_count":10,"complexity_ratio":73855.3,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4968,"base":2},"right_expr":{"type":"numeric_atoms","value":5875,"base":2}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2321,"base":2}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":7583,"base":2},"right_expr":{"type":"numeric_atoms","value":2178,"base":2}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3343,"base":2}}}}},"used_operators":["nCS4ZIUYfx","oWn0xqSxBt","XTarYq4gQB","tmPS8pqC7x","NTOWxs364D","Tw270M8GLb","gu96TGCTMs","DZ8iAZOCBD","yyfyN0ffXY","2td37pGCOC"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9HNa5Wba9A","8w2t5hMYqp","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-10001001000000110100100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4968","layer":4},{"info":"number node, value=5875","layer":4},{"info":"compute binary expreesion, left_input=4968, right_input=5875, 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=4968","layer":3},{"info":"compute unary expreesion, input=4968, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-730296","layer":2},{"info":"compute unary expreesion, input=-730296, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":1},{"info":"number node, value=2321","layer":4},{"info":"compute unary expreesion, input=2321, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":2},{"info":"number node, value=7583","layer":4},{"info":"number node, value=2178","layer":4},{"info":"compute binary expreesion, left_input=7583, right_input=2178, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6534","layer":3},{"info":"number node, value=3343","layer":4},{"info":"compute unary expreesion, input=3343, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3343","layer":3},{"info":"compute binary expreesion, left_input=-6534, right_input=3343, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-3343","layer":2},{"info":"compute binary expreesion, left_input=4492662, right_input=-3343, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4489440","layer":1},{"info":"compute binary expreesion, left_input=196, right_input=-4489440, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4489636","layer":0}],"base":2,"result_base":2,"text":"(⊙↵-(⪝⪂⫅≮⫘↔1001101101000⨪↰⇹≮⫘↔1011011110011))⨳⩥⨓(⨰⫟⨤(≮⫘↔100100010001⊘))⩚⊴⇥(≮⫘↔1110110011111↙≮⫘↔100010000010⊉≛↸(⩦⩻⨪≮⫘↔110100001111))=≮⫘↔-10001001000000110100100","reverse_text":"≮⫘↔-10001001000000110100100=(⊙↵-(⪝⪂⫅≮⫘↔1001101101000⨪↰⇹≮⫘↔1011011110011))⨳⩥⨓(⨰⫟⨤(≮⫘↔100100010001⊘))⩚⊴⇥(≮⫘↔1110110011111↙≮⫘↔100010000010⊉≛↸(⩦⩻⨪≮⫘↔110100001111))","cot":[{"info":"≮⫘↔1001101101000⨪↰⇹≮⫘↔1011011110011=≮⫘↔1001101101000","layer":3},{"info":"⪝⪂⫅≮⫘↔1001101101000=≮⫘↔-10110010010010111000","layer":2},{"info":"⊙↵-≮⫘↔-10110010010010111000=≮⫘↔11000100","layer":1},{"info":"≮⫘↔100100010001⊘=≮⫘↔0","layer":3},{"info":"⨰⫟⨤≮⫘↔0=≮⫘↔10001001000110101110110","layer":2},{"info":"≮⫘↔1110110011111↙≮⫘↔100010000010=≮⫘↔-1100110000110","layer":3},{"info":"⩦⩻⨪≮⫘↔110100001111=≮⫘↔110100001111","layer":3},{"info":"≮⫘↔-1100110000110⊉≛↸≮⫘↔110100001111=≮⫘↔-110100001111","layer":2},{"info":"≮⫘↔10001001000110101110110⩚⊴⇥≮⫘↔-110100001111=≮⫘↔-10001001000000011100000","layer":1},{"info":"≮⫘↔11000100⨳⩥⨓≮⫘↔-10001001000000011100000=≮⫘↔-10001001000000110100100","layer":0}]}
{"id":960,"expression_no_base_symbol":"(≉(($1152$⋥≓≎$4880$)⩠))⨳⩥⨓(⊥($1678$+⇶⊼$4246$))≹⇙⪍($3520$⨵⪆$1078$⪨≂(⩦⩻⨪$1211$))","expression":"(≉((≮⫘↔10010000000⋥≓≎≮⫘↔1001100010000)⩠))⨳⩥⨓(⊥(≮⫘↔11010001110+⇶⊼≮⫘↔1000010010110))≹⇙⪍(≮⫘↔110111000000⨵⪆≮⫘↔10000110110⪨≂(⩦⩻⨪≮⫘↔10010111011))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":39,"operation_count":10,"complexity_ratio":3.9,"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":1152,"base":2},"right_expr":{"type":"numeric_atoms","value":4880,"base":2}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1678,"base":2},"right_expr":{"type":"numeric_atoms","value":4246,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3520,"base":2},"right_expr":{"type":"numeric_atoms","value":1078,"base":2}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1211,"base":2}}}}},"used_operators":["nCS4ZIUYfx","e1ybzncUwg","sJAwomhLZr","Qy55tPpLXF","AHs5Up7iyr","Q3PJZHRvZv","TpPTUOHfaN","sdazOOVcIp","2DQ55sFlQl","2td37pGCOC"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","fu6greOZ01","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1152","layer":4},{"info":"number node, value=4880","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=4880, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8641","layer":3},{"info":"compute unary expreesion, input=8641, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":1},{"info":"number node, value=1678","layer":4},{"info":"number node, value=4246","layer":4},{"info":"compute binary expreesion, left_input=1678, right_input=4246, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=3520","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=3520, right_input=1078, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1211","layer":4},{"info":"compute unary expreesion, input=1211, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1211","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1211, 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=-2000","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2000, 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=531, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≉((≮⫘↔10010000000⋥≓≎≮⫘↔1001100010000)⩠))⨳⩥⨓(⊥(≮⫘↔11010001110+⇶⊼≮⫘↔1000010010110))≹⇙⪍(≮⫘↔110111000000⨵⪆≮⫘↔10000110110⪨≂(⩦⩻⨪≮⫘↔10010111011))=NaN","reverse_text":"NaN=(≉((≮⫘↔10010000000⋥≓≎≮⫘↔1001100010000)⩠))⨳⩥⨓(⊥(≮⫘↔11010001110+⇶⊼≮⫘↔1000010010110))≹⇙⪍(≮⫘↔110111000000⨵⪆≮⫘↔10000110110⪨≂(⩦⩻⨪≮⫘↔10010111011))","cot":[{"info":"≮⫘↔10010000000⋥≓≎≮⫘↔1001100010000=≮⫘↔10000111000001","layer":3},{"info":"≮⫘↔10000111000001⩠=≮⫘↔0","layer":2},{"info":"≉≮⫘↔0=≮⫘↔1000010011","layer":1},{"info":"≮⫘↔11010001110+⇶⊼≮⫘↔1000010010110=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"≮⫘↔110111000000⨵⪆≮⫘↔10000110110=≮⫘↔10100000","layer":3},{"info":"⩦⩻⨪≮⫘↔10010111011=≮⫘↔10010111011","layer":3},{"info":"≮⫘↔10100000⪨≂≮⫘↔10010111011=≮⫘↔-11111010000","layer":2},{"info":"NaN≹⇙⪍≮⫘↔-11111010000=NaN","layer":1},{"info":"≮⫘↔1000010011⨳⩥⨓NaN=NaN","layer":0}]}
{"id":961,"expression_no_base_symbol":"(($1065$⋷$1521$)∀⇚≩($2112$⪄$3417$)∲⫓(∂$2289$)⨳⩥⨓(⋗⩬⋾$1255$))⨐⩸⫘(($3097$*$1291$)↺(⪲⇎$3351$))⨓(≤/($2904$⊠≄⫣))","expression":"((≮⫘↔10000101001⋷≮⫘↔10111110001)∀⇚≩(≮⫘↔100001000000⪄≮⫘↔110101011001)∲⫓(∂≮⫘↔100011110001)⨳⩥⨓(⋗⩬⋾≮⫘↔10011100111))⨐⩸⫘((≮⫘↔110000011001*≮⫘↔10100001011)↺(⪲⇎≮⫘↔110100010111))⨓(≤/(≮⫘↔101101011000⊠≄⫣))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":255826,"operation_count":14,"complexity_ratio":18273.285714285714,"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":1065,"base":2},"right_expr":{"type":"numeric_atoms","value":1521,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2112,"base":2},"right_expr":{"type":"numeric_atoms","value":3417,"base":2}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2289,"base":2}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1255,"base":2}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3097,"base":2},"right_expr":{"type":"numeric_atoms","value":1291,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3351,"base":2}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2904,"base":2}}}}},"used_operators":["fu6greOZ01","i8ToyICDmI","LRNGc0VcxI","23Mk6UjR3U","SUmda5xLS4","nCS4ZIUYfx","Uaa54Peajs","DpFCA1CohY","3ViojmjbAp","7j4O788W3g","9HNa5Wba9A","XPYlsWDdGa","eLAdDNolq6","DIvbN7qnHd"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔111101010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1065","layer":4},{"info":"number node, value=1521","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=1521, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1977","layer":3},{"info":"number node, value=2112","layer":4},{"info":"number node, value=3417","layer":4},{"info":"compute binary expreesion, left_input=2112, right_input=3417, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-322333","layer":3},{"info":"compute binary expreesion, left_input=1977, right_input=-322333, 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=2289","layer":4},{"info":"compute unary expreesion, input=2289, 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=1255","layer":4},{"info":"compute unary expreesion, input=1255, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3765","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3765, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=3097","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=3097, right_input=1291, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3998227","layer":3},{"info":"number node, value=3351","layer":4},{"info":"compute unary expreesion, input=3351, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6702","layer":3},{"info":"compute binary expreesion, left_input=3998227, right_input=6702, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6702","layer":2},{"info":"number node, value=2904","layer":4},{"info":"compute unary expreesion, input=2904, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":2},{"info":"compute binary expreesion, left_input=6702, right_input=484, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-487","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-487, 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=490","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10000101001⋷≮⫘↔10111110001)∀⇚≩(≮⫘↔100001000000⪄≮⫘↔110101011001)∲⫓(∂≮⫘↔100011110001)⨳⩥⨓(⋗⩬⋾≮⫘↔10011100111))⨐⩸⫘((≮⫘↔110000011001*≮⫘↔10100001011)↺(⪲⇎≮⫘↔110100010111))⨓(≤/(≮⫘↔101101011000⊠≄⫣))=≮⫘↔111101010","reverse_text":"≮⫘↔111101010=((≮⫘↔10000101001⋷≮⫘↔10111110001)∀⇚≩(≮⫘↔100001000000⪄≮⫘↔110101011001)∲⫓(∂≮⫘↔100011110001)⨳⩥⨓(⋗⩬⋾≮⫘↔10011100111))⨐⩸⫘((≮⫘↔110000011001*≮⫘↔10100001011)↺(⪲⇎≮⫘↔110100010111))⨓(≤/(≮⫘↔101101011000⊠≄⫣))","cot":[{"info":"≮⫘↔10000101001⋷≮⫘↔10111110001=≮⫘↔11110111001","layer":3},{"info":"≮⫘↔100001000000⪄≮⫘↔110101011001=≮⫘↔-1001110101100011101","layer":3},{"info":"≮⫘↔11110111001∀⇚≩≮⫘↔-1001110101100011101=NaN","layer":2},{"info":"∂≮⫘↔100011110001=NaN","layer":3},{"info":"⋗⩬⋾≮⫘↔10011100111=≮⫘↔-111010110101","layer":3},{"info":"NaN⨳⩥⨓≮⫘↔-111010110101=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"≮⫘↔110000011001*≮⫘↔10100001011=≮⫘↔1111010000001000010011","layer":3},{"info":"⪲⇎≮⫘↔110100010111=≮⫘↔1101000101110","layer":3},{"info":"≮⫘↔1111010000001000010011↺≮⫘↔1101000101110=≮⫘↔1101000101110","layer":2},{"info":"≮⫘↔101101011000⊠≄⫣=≮⫘↔0","layer":3},{"info":"≤/≮⫘↔0=≮⫘↔111100100","layer":2},{"info":"≮⫘↔1101000101110⨓≮⫘↔111100100=≮⫘↔-111100111","layer":1},{"info":"NaN⨐⩸⫘≮⫘↔-111100111=≮⫘↔111101010","layer":0}]}
{"id":962,"expression_no_base_symbol":"⨑⩽⪐(($2532$⪘⫢$2903$)⪢($5418$⨳⩥⨓$1313$)⇼⇔∾($1001$⇋≉)⨐⩸⫘(⨈⫕$3029$))","expression":"⨑⩽⪐((≮⫘↔100111100100⪘⫢≮⫘↔101101010111)⪢(≮⫘↔1010100101010⨳⩥⨓≮⫘↔10100100001)⇼⇔∾(≮⫘↔1111101001⇋≉)⨐⩸⫘(⨈⫕≮⫘↔101111010101))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5526,"operation_count":8,"complexity_ratio":690.75,"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":2532,"base":2},"right_expr":{"type":"numeric_atoms","value":2903,"base":2}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5418,"base":2},"right_expr":{"type":"numeric_atoms","value":1313,"base":2}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1001,"base":2}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3029,"base":2}}}}},"used_operators":["AF7qkfDlqP","tifHPKVTfV","dWAJyo7jo9","oacrs7FA3X","nCS4ZIUYfx","fu6greOZ01","XIabStNQrY","megm06wKyl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2532","layer":4},{"info":"number node, value=2903","layer":4},{"info":"compute binary expreesion, left_input=2532, right_input=2903, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4940","layer":3},{"info":"number node, value=5418","layer":4},{"info":"number node, value=1313","layer":4},{"info":"compute binary expreesion, left_input=5418, right_input=1313, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4105","layer":3},{"info":"compute binary expreesion, left_input=4940, right_input=-4105, 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=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=1904","layer":3},{"info":"number node, value=3029","layer":4},{"info":"compute unary expreesion, input=3029, 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=1904, right_input=-21, 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=24","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=24, op_id = tifHPKVTfV 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":2,"result_base":2,"text":"⨑⩽⪐((≮⫘↔100111100100⪘⫢≮⫘↔101101010111)⪢(≮⫘↔1010100101010⨳⩥⨓≮⫘↔10100100001)⇼⇔∾(≮⫘↔1111101001⇋≉)⨐⩸⫘(⨈⫕≮⫘↔101111010101))=NaN","reverse_text":"NaN=⨑⩽⪐((≮⫘↔100111100100⪘⫢≮⫘↔101101010111)⪢(≮⫘↔1010100101010⨳⩥⨓≮⫘↔10100100001)⇼⇔∾(≮⫘↔1111101001⇋≉)⨐⩸⫘(⨈⫕≮⫘↔101111010101))","cot":[{"info":"≮⫘↔100111100100⪘⫢≮⫘↔101101010111=≮⫘↔1001101001100","layer":3},{"info":"≮⫘↔1010100101010⨳⩥⨓≮⫘↔10100100001=≮⫘↔-1000000001001","layer":3},{"info":"≮⫘↔1001101001100⪢≮⫘↔-1000000001001=NaN","layer":2},{"info":"≮⫘↔1111101001⇋≉=≮⫘↔11101110000","layer":3},{"info":"⨈⫕≮⫘↔101111010101=≮⫘↔-10101","layer":3},{"info":"≮⫘↔11101110000⨐⩸⫘≮⫘↔-10101=≮⫘↔11000","layer":2},{"info":"NaN⇼⇔∾≮⫘↔11000=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":963,"expression_no_base_symbol":"(($3188$⪛$3719$)⊴($5394$≧⫂∧$6778$)*(↽≂($1236$⨳⩥⨓$1060$)))+⇶⊼($1933$⪒$1219$/(⇁⨣⪵$1569$))⪢(↯⪼(⪝⪂⫅$2228$))","expression":"((≮⫘↔110001110100⪛≮⫘↔111010000111)⊴(≮⫘↔1010100010010≧⫂∧≮⫘↔1101001111010)*(↽≂(≮⫘↔10011010100⨳⩥⨓≮⫘↔10000100100)))+⇶⊼(≮⫘↔11110001101⪒≮⫘↔10011000011/(⇁⨣⪵≮⫘↔11000100001))⪢(↯⪼(⪝⪂⫅≮⫘↔100010110100))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":660607,"operation_count":13,"complexity_ratio":50815.92307692308,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3188,"base":2},"right_expr":{"type":"numeric_atoms","value":3719,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5394,"base":2},"right_expr":{"type":"numeric_atoms","value":6778,"base":2}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1236,"base":2},"right_expr":{"type":"numeric_atoms","value":1060,"base":2}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1933,"base":2},"right_expr":{"type":"numeric_atoms","value":1219,"base":2}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1569,"base":2}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2228,"base":2}}}}},"used_operators":["TpPTUOHfaN","9HNa5Wba9A","Nsiff2A1zJ","uFcxV4UQCh","Ph9nP6C5qx","u6S6b8DprG","nCS4ZIUYfx","dWAJyo7jo9","XhwjNDsVaA","f6k1SAg4EE","inkyxCbjAn","8jW3W4yZS5","XTarYq4gQB"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3188","layer":4},{"info":"number node, value=3719","layer":4},{"info":"compute binary expreesion, left_input=3188, right_input=3719, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3188","layer":3},{"info":"number node, value=5394","layer":4},{"info":"number node, value=6778","layer":4},{"info":"compute binary expreesion, left_input=5394, right_input=6778, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6305","layer":3},{"info":"compute binary expreesion, left_input=3188, right_input=6305, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1236","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=1236, right_input=1060, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-176","layer":3},{"info":"compute unary expreesion, input=-176, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=352","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=352, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1933","layer":4},{"info":"number node, value=1219","layer":4},{"info":"compute binary expreesion, left_input=1933, right_input=1219, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3152","layer":3},{"info":"number node, value=1569","layer":4},{"info":"compute unary expreesion, input=1569, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3152, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2228","layer":4},{"info":"compute unary expreesion, input=2228, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-327516","layer":3},{"info":"compute unary expreesion, input=-327516, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=654115","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=654115, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110001110100⪛≮⫘↔111010000111)⊴(≮⫘↔1010100010010≧⫂∧≮⫘↔1101001111010)*(↽≂(≮⫘↔10011010100⨳⩥⨓≮⫘↔10000100100)))+⇶⊼(≮⫘↔11110001101⪒≮⫘↔10011000011/(⇁⨣⪵≮⫘↔11000100001))⪢(↯⪼(⪝⪂⫅≮⫘↔100010110100))=NaN","reverse_text":"NaN=((≮⫘↔110001110100⪛≮⫘↔111010000111)⊴(≮⫘↔1010100010010≧⫂∧≮⫘↔1101001111010)*(↽≂(≮⫘↔10011010100⨳⩥⨓≮⫘↔10000100100)))+⇶⊼(≮⫘↔11110001101⪒≮⫘↔10011000011/(⇁⨣⪵≮⫘↔11000100001))⪢(↯⪼(⪝⪂⫅≮⫘↔100010110100))","cot":[{"info":"≮⫘↔110001110100⪛≮⫘↔111010000111=≮⫘↔110001110100","layer":3},{"info":"≮⫘↔1010100010010≧⫂∧≮⫘↔1101001111010=≮⫘↔1100010100001","layer":3},{"info":"≮⫘↔110001110100⊴≮⫘↔1100010100001=NaN","layer":2},{"info":"≮⫘↔10011010100⨳⩥⨓≮⫘↔10000100100=≮⫘↔-10110000","layer":3},{"info":"↽≂≮⫘↔-10110000=≮⫘↔101100000","layer":2},{"info":"NaN*≮⫘↔101100000=NaN","layer":1},{"info":"≮⫘↔11110001101⪒≮⫘↔10011000011=≮⫘↔-110001010000","layer":3},{"info":"⇁⨣⪵≮⫘↔11000100001=NaN","layer":3},{"info":"≮⫘↔-110001010000/NaN=NaN","layer":2},{"info":"⪝⪂⫅≮⫘↔100010110100=≮⫘↔-1001111111101011100","layer":3},{"info":"↯⪼≮⫘↔-1001111111101011100=≮⫘↔10011111101100100011","layer":2},{"info":"NaN⪢≮⫘↔10011111101100100011=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":964,"expression_no_base_symbol":"((($2493$⪨≂$1769$)⨐⩸⫘(⋗⩬⋾$1855$))∼(($7124$⩠)⩚⊴⇥($1997$⊠≄⫣)))⊴((↣≠⋷($2194$∲⫓$5668$))⊭↱($2442$⊪)⨪↰⇹$1759$⪘⫢$1318$)","expression":"(((≮⫘↔100110111101⪨≂≮⫘↔11011101001)⨐⩸⫘(⋗⩬⋾≮⫘↔11100111111))∼((≮⫘↔1101111010100⩠)⩚⊴⇥(≮⫘↔11111001101⊠≄⫣)))⊴((↣≠⋷(≮⫘↔100010010010∲⫓≮⫘↔1011000100100))⊭↱(≮⫘↔100110001010⊪)⨪↰⇹≮⫘↔11011011111⪘⫢≮⫘↔10100100110)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":605,"operation_count":14,"complexity_ratio":43.214285714285715,"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":2493,"base":2},"right_expr":{"type":"numeric_atoms","value":1769,"base":2}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1855,"base":2}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":7124,"base":2}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1997,"base":2}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2194,"base":2},"right_expr":{"type":"numeric_atoms","value":5668,"base":2}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2442,"base":2}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1759,"base":2},"right_expr":{"type":"numeric_atoms","value":1318,"base":2}}}}},"used_operators":["Nsiff2A1zJ","DyGG3AbaNP","fu6greOZ01","sdazOOVcIp","DpFCA1CohY","NTOWxs364D","sJAwomhLZr","DIvbN7qnHd","COABgblf1C","Asc51vEJeQ","i8ToyICDmI","tmPS8pqC7x","zVYPLywUTj","oacrs7FA3X"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2493","layer":4},{"info":"number node, value=1769","layer":4},{"info":"compute binary expreesion, left_input=2493, right_input=1769, 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=1550","layer":3},{"info":"number node, value=1855","layer":4},{"info":"compute unary expreesion, input=1855, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5565","layer":3},{"info":"compute binary expreesion, left_input=1550, right_input=-5565, 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=7124","layer":4},{"info":"compute unary expreesion, input=7124, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1997","layer":4},{"info":"compute unary expreesion, input=1997, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-121","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-121, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"number node, value=2194","layer":4},{"info":"number node, value=5668","layer":4},{"info":"compute binary expreesion, left_input=2194, right_input=5668, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=2442","layer":4},{"info":"compute unary expreesion, input=2442, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=1759","layer":4},{"info":"number node, value=1318","layer":4},{"info":"compute binary expreesion, left_input=1759, right_input=1318, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3394","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3394, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', 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":2,"result_base":2,"text":"(((≮⫘↔100110111101⪨≂≮⫘↔11011101001)⨐⩸⫘(⋗⩬⋾≮⫘↔11100111111))∼((≮⫘↔1101111010100⩠)⩚⊴⇥(≮⫘↔11111001101⊠≄⫣)))⊴((↣≠⋷(≮⫘↔100010010010∲⫓≮⫘↔1011000100100))⊭↱(≮⫘↔100110001010⊪)⨪↰⇹≮⫘↔11011011111⪘⫢≮⫘↔10100100110)=NaN","reverse_text":"NaN=(((≮⫘↔100110111101⪨≂≮⫘↔11011101001)⨐⩸⫘(⋗⩬⋾≮⫘↔11100111111))∼((≮⫘↔1101111010100⩠)⩚⊴⇥(≮⫘↔11111001101⊠≄⫣)))⊴((↣≠⋷(≮⫘↔100010010010∲⫓≮⫘↔1011000100100))⊭↱(≮⫘↔100110001010⊪)⨪↰⇹≮⫘↔11011011111⪘⫢≮⫘↔10100100110)","cot":[{"info":"≮⫘↔100110111101⪨≂≮⫘↔11011101001=≮⫘↔11000001110","layer":3},{"info":"⋗⩬⋾≮⫘↔11100111111=≮⫘↔-1010110111101","layer":3},{"info":"≮⫘↔11000001110⨐⩸⫘≮⫘↔-1010110111101=NaN","layer":2},{"info":"≮⫘↔1101111010100⩠=≮⫘↔0","layer":3},{"info":"≮⫘↔11111001101⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔0⩚⊴⇥≮⫘↔0=≮⫘↔-1111001","layer":2},{"info":"NaN∼≮⫘↔-1111001=≮⫘↔0","layer":1},{"info":"≮⫘↔100010010010∲⫓≮⫘↔1011000100100=≮⫘↔0","layer":3},{"info":"↣≠⋷≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔100110001010⊪=≮⫘↔0","layer":3},{"info":"≮⫘↔11011011111⪘⫢≮⫘↔10100100110=≮⫘↔110101000010","layer":3},{"info":"≮⫘↔0⨪↰⇹≮⫘↔110101000010=≮⫘↔0","layer":2},{"info":"NaN⊭↱≮⫘↔0=NaN","layer":1},{"info":"≮⫘↔0⊴NaN=NaN","layer":0}]}
{"id":965,"expression_no_base_symbol":"($2210$⋝⋈⪟$1095$⩷∴($3123$≋⫹)⋥≓≎(($1159$⊉≛↸$3004$)⊦⊿))⨐⩸⫘(↔(($5016$⨸⪁$2275$)⪠⩆⊳))","expression":"(≮⫘↔100010100010⋝⋈⪟≮⫘↔10001000111⩷∴(≮⫘↔110000110011≋⫹)⋥≓≎((≮⫘↔10010000111⊉≛↸≮⫘↔101110111100)⊦⊿))⨐⩸⫘(↔((≮⫘↔1001110011000⨸⪁≮⫘↔100011100011)⪠⩆⊳))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":627298,"operation_count":10,"complexity_ratio":62729.8,"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":2210,"base":2},"right_expr":{"type":"numeric_atoms","value":1095,"base":2}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3123,"base":2}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1159,"base":2},"right_expr":{"type":"numeric_atoms","value":3004,"base":2}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5016,"base":2},"right_expr":{"type":"numeric_atoms","value":2275,"base":2}}}}},"used_operators":["fu6greOZ01","Qy55tPpLXF","9FxExcQeMw","2DDjHMKMc0","N41Kp7NANJ","14qkJME0vr","DZ8iAZOCBD","ruOEQAzv1W","JLbD19bQDL","g55IO6H4Gj"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"≮⫘↔-1100011000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2210","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=2210, right_input=1095, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2210","layer":3},{"info":"number node, value=3123","layer":4},{"info":"compute unary expreesion, input=3123, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6246","layer":3},{"info":"compute binary expreesion, left_input=2210, right_input=-6246, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=16880","layer":2},{"info":"number node, value=1159","layer":4},{"info":"number node, value=3004","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=3004, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2318","layer":3},{"info":"compute unary expreesion, input=2318, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-7033","layer":2},{"info":"compute binary expreesion, left_input=16880, right_input=-7033, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-30913","layer":1},{"info":"number node, value=5016","layer":4},{"info":"number node, value=2275","layer":4},{"info":"compute binary expreesion, left_input=5016, right_input=2275, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14582","layer":3},{"info":"compute unary expreesion, input=14582, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=789","layer":1},{"info":"compute binary expreesion, left_input=-30913, right_input=789, 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=-792","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔100010100010⋝⋈⪟≮⫘↔10001000111⩷∴(≮⫘↔110000110011≋⫹)⋥≓≎((≮⫘↔10010000111⊉≛↸≮⫘↔101110111100)⊦⊿))⨐⩸⫘(↔((≮⫘↔1001110011000⨸⪁≮⫘↔100011100011)⪠⩆⊳))=≮⫘↔-1100011000","reverse_text":"≮⫘↔-1100011000=(≮⫘↔100010100010⋝⋈⪟≮⫘↔10001000111⩷∴(≮⫘↔110000110011≋⫹)⋥≓≎((≮⫘↔10010000111⊉≛↸≮⫘↔101110111100)⊦⊿))⨐⩸⫘(↔((≮⫘↔1001110011000⨸⪁≮⫘↔100011100011)⪠⩆⊳))","cot":[{"info":"≮⫘↔100010100010⋝⋈⪟≮⫘↔10001000111=≮⫘↔100010100010","layer":3},{"info":"≮⫘↔110000110011≋⫹=≮⫘↔-1100001100110","layer":3},{"info":"≮⫘↔100010100010⩷∴≮⫘↔-1100001100110=≮⫘↔100000111110000","layer":2},{"info":"≮⫘↔10010000111⊉≛↸≮⫘↔101110111100=≮⫘↔100100001110","layer":3},{"info":"≮⫘↔100100001110⊦⊿=≮⫘↔-1101101111001","layer":2},{"info":"≮⫘↔100000111110000⋥≓≎≮⫘↔-1101101111001=≮⫘↔-111100011000001","layer":1},{"info":"≮⫘↔1001110011000⨸⪁≮⫘↔100011100011=≮⫘↔11100011110110","layer":3},{"info":"≮⫘↔11100011110110⪠⩆⊳=≮⫘↔0","layer":2},{"info":"↔≮⫘↔0=≮⫘↔1100010101","layer":1},{"info":"≮⫘↔-111100011000001⨐⩸⫘≮⫘↔1100010101=≮⫘↔-1100011000","layer":0}]}
{"id":966,"expression_no_base_symbol":"(≤/$2118$)⪢($2251$⨸⪁$1247$)∀⇚≩(($4397$↙$1114$)∑⇟⊟(⊄⩳↩$1067$))⨓(⨰⫟⨤(($1289$⪨≂$2621$)≎⊠⪸($5841$⊪)))","expression":"(≤/≮⫘↔100001000110)⪢(≮⫘↔100011001011⨸⪁≮⫘↔10011011111)∀⇚≩((≮⫘↔1000100101101↙≮⫘↔10001011010)∑⇟⊟(⊄⩳↩≮⫘↔10000101011))⨓(⨰⫟⨤((≮⫘↔10100001001⪨≂≮⫘↔101000111101)≎⊠⪸(≮⫘↔1011011010001⊪)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2663176,"operation_count":12,"complexity_ratio":221931.33333333334,"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":2118,"base":2}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2251,"base":2},"right_expr":{"type":"numeric_atoms","value":1247,"base":2}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4397,"base":2},"right_expr":{"type":"numeric_atoms","value":1114,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1067,"base":2}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1289,"base":2},"right_expr":{"type":"numeric_atoms","value":2621,"base":2}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":5841,"base":2}}}}},"used_operators":["3ViojmjbAp","LRNGc0VcxI","dWAJyo7jo9","eLAdDNolq6","g55IO6H4Gj","U7g4x0WXJJ","yyfyN0ffXY","8w2t5hMYqp","Tw270M8GLb","bJkvcejdHO","sdazOOVcIp","zVYPLywUTj"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","X99M06cbEe","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2118","layer":4},{"info":"compute unary expreesion, input=2118, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1634","layer":3},{"info":"number node, value=2251","layer":4},{"info":"number node, value=1247","layer":4},{"info":"compute binary expreesion, left_input=2251, right_input=1247, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6996","layer":3},{"info":"compute binary expreesion, left_input=-1634, right_input=6996, 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=4397","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=4397, right_input=1114, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3342","layer":3},{"info":"number node, value=1067","layer":4},{"info":"compute unary expreesion, input=1067, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3201","layer":3},{"info":"compute binary expreesion, left_input=-3342, right_input=-3201, 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 = 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=1289","layer":4},{"info":"number node, value=2621","layer":4},{"info":"compute binary expreesion, left_input=1289, right_input=2621, 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=-2562","layer":3},{"info":"number node, value=5841","layer":4},{"info":"compute unary expreesion, input=5841, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2562, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=663558","layer":2},{"info":"compute unary expreesion, input=663558, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≤/≮⫘↔100001000110)⪢(≮⫘↔100011001011⨸⪁≮⫘↔10011011111)∀⇚≩((≮⫘↔1000100101101↙≮⫘↔10001011010)∑⇟⊟(⊄⩳↩≮⫘↔10000101011))⨓(⨰⫟⨤((≮⫘↔10100001001⪨≂≮⫘↔101000111101)≎⊠⪸(≮⫘↔1011011010001⊪)))=NaN","reverse_text":"NaN=(≤/≮⫘↔100001000110)⪢(≮⫘↔100011001011⨸⪁≮⫘↔10011011111)∀⇚≩((≮⫘↔1000100101101↙≮⫘↔10001011010)∑⇟⊟(⊄⩳↩≮⫘↔10000101011))⨓(⨰⫟⨤((≮⫘↔10100001001⪨≂≮⫘↔101000111101)≎⊠⪸(≮⫘↔1011011010001⊪)))","cot":[{"info":"≤/≮⫘↔100001000110=≮⫘↔-11001100010","layer":3},{"info":"≮⫘↔100011001011⨸⪁≮⫘↔10011011111=≮⫘↔1101101010100","layer":3},{"info":"≮⫘↔-11001100010⪢≮⫘↔1101101010100=NaN","layer":2},{"info":"≮⫘↔1000100101101↙≮⫘↔10001011010=≮⫘↔-110100001110","layer":3},{"info":"⊄⩳↩≮⫘↔10000101011=≮⫘↔-110010000001","layer":3},{"info":"≮⫘↔-110100001110∑⇟⊟≮⫘↔-110010000001=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"≮⫘↔10100001001⪨≂≮⫘↔101000111101=≮⫘↔-101000000010","layer":3},{"info":"≮⫘↔1011011010001⊪=≮⫘↔0","layer":3},{"info":"≮⫘↔-101000000010≎⊠⪸≮⫘↔0=≮⫘↔10100010000000000110","layer":2},{"info":"⨰⫟⨤≮⫘↔10100010000000000110=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":967,"expression_no_base_symbol":"($4319$⨽$4345$)⫥∨⫟($3946$-$1616$)⨐⩸⫘(↔$2237$)⩷∴($1226$⋓$3224$)%((($2882$∲⫓$3200$)⪠⩆⊳)⊭∹↮)","expression":"(≮⫘↔1000011011111⨽≮⫘↔1000011111001)⫥∨⫟(≮⫘↔111101101010-≮⫘↔11001010000)⨐⩸⫘(↔≮⫘↔100010111101)⩷∴(≮⫘↔10011001010⋓≮⫘↔110010011000)%(((≮⫘↔101101000010∲⫓≮⫘↔110010000000)⪠⩆⊳)⊭∹↮)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4520,"operation_count":11,"complexity_ratio":410.90909090909093,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4319,"base":2},"right_expr":{"type":"numeric_atoms","value":4345,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3946,"base":2},"right_expr":{"type":"numeric_atoms","value":1616,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2237,"base":2}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1226,"base":2},"right_expr":{"type":"numeric_atoms","value":3224,"base":2}}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2882,"base":2},"right_expr":{"type":"numeric_atoms","value":3200,"base":2}}}}},"used_operators":["k8jYdgA6NY","fu6greOZ01","KYD54nUTWz","8HhzD0ZcuI","rysDP5nf3Z","9FxExcQeMw","ruOEQAzv1W","T2fj7uvVaJ","xNBdhnnwKq","JLbD19bQDL","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","3ViojmjbAp","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4319","layer":4},{"info":"number node, value=4345","layer":4},{"info":"compute binary expreesion, left_input=4319, right_input=4345, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-55973004","layer":3},{"info":"number node, value=3946","layer":4},{"info":"number node, value=1616","layer":4},{"info":"compute binary expreesion, left_input=3946, right_input=1616, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2330","layer":3},{"info":"compute binary expreesion, left_input=-55973004, right_input=2330, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2237","layer":4},{"info":"compute unary expreesion, input=2237, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1964","layer":3},{"info":"number node, value=1226","layer":4},{"info":"number node, value=3224","layer":4},{"info":"compute binary expreesion, left_input=1226, right_input=3224, 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=-1964, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3960","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3960, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2882","layer":4},{"info":"number node, value=3200","layer":4},{"info":"compute binary expreesion, left_input=2882, right_input=3200, 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 = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1000011011111⨽≮⫘↔1000011111001)⫥∨⫟(≮⫘↔111101101010-≮⫘↔11001010000)⨐⩸⫘(↔≮⫘↔100010111101)⩷∴(≮⫘↔10011001010⋓≮⫘↔110010011000)%(((≮⫘↔101101000010∲⫓≮⫘↔110010000000)⪠⩆⊳)⊭∹↮)=NaN","reverse_text":"NaN=(≮⫘↔1000011011111⨽≮⫘↔1000011111001)⫥∨⫟(≮⫘↔111101101010-≮⫘↔11001010000)⨐⩸⫘(↔≮⫘↔100010111101)⩷∴(≮⫘↔10011001010⋓≮⫘↔110010011000)%(((≮⫘↔101101000010∲⫓≮⫘↔110010000000)⪠⩆⊳)⊭∹↮)","cot":[{"info":"≮⫘↔1000011011111⨽≮⫘↔1000011111001=≮⫘↔-11010101100001010010001100","layer":3},{"info":"≮⫘↔111101101010-≮⫘↔11001010000=≮⫘↔100100011010","layer":3},{"info":"≮⫘↔-11010101100001010010001100⫥∨⫟≮⫘↔100100011010=NaN","layer":2},{"info":"↔≮⫘↔100010111101=≮⫘↔-11110101100","layer":3},{"info":"≮⫘↔10011001010⋓≮⫘↔110010011000=≮⫘↔0","layer":3},{"info":"≮⫘↔-11110101100⩷∴≮⫘↔0=≮⫘↔-111101111000","layer":2},{"info":"NaN⨐⩸⫘≮⫘↔-111101111000=NaN","layer":1},{"info":"≮⫘↔101101000010∲⫓≮⫘↔110010000000=≮⫘↔0","layer":3},{"info":"≮⫘↔0⪠⩆⊳=≮⫘↔0","layer":2},{"info":"≮⫘↔0⊭∹↮=≮⫘↔0","layer":1},{"info":"NaN%≮⫘↔0=NaN","layer":0}]}
{"id":968,"expression_no_base_symbol":"(⊥(($7518$+⇶⊼$2768$)∼($4643$↛⩡⫤)))⋷($3187$*$1096$)⪮%⊝($1443$≫≃)≎⊠⪸(($8295$/$1802$)⪐)","expression":"(⊥((≮⫘↔1110101011110+⇶⊼≮⫘↔101011010000)∼(≮⫘↔1001000100011↛⩡⫤)))⋷(≮⫘↔110001110011*≮⫘↔10001001000)⪮%⊝(≮⫘↔10110100011≫≃)≎⊠⪸((≮⫘↔10000001100111/≮⫘↔11100001010)⪐)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15458,"operation_count":11,"complexity_ratio":1405.2727272727273,"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":7518,"base":2},"right_expr":{"type":"numeric_atoms","value":2768,"base":2}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":4643,"base":2}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3187,"base":2},"right_expr":{"type":"numeric_atoms","value":1096,"base":2}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1443,"base":2}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":8295,"base":2},"right_expr":{"type":"numeric_atoms","value":1802,"base":2}}}}},"used_operators":["23Mk6UjR3U","Q3PJZHRvZv","DyGG3AbaNP","TpPTUOHfaN","FU0Cs4j7VP","bJkvcejdHO","IWmyXbctLI","9HNa5Wba9A","X99M06cbEe","eH2TOUuTDT","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7518","layer":4},{"info":"number node, value=2768","layer":4},{"info":"compute binary expreesion, left_input=7518, right_input=2768, 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=4643","layer":4},{"info":"compute unary expreesion, input=4643, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-697182","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-697182, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=3187","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=3187, right_input=1096, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3492952","layer":3},{"info":"number node, value=1443","layer":4},{"info":"compute unary expreesion, input=1443, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4287","layer":3},{"info":"compute binary expreesion, left_input=3492952, right_input=4287, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6986220","layer":2},{"info":"number node, value=8295","layer":4},{"info":"number node, value=1802","layer":4},{"info":"compute binary expreesion, left_input=8295, right_input=1802, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":3},{"info":"compute unary expreesion, input=4, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=8","layer":2},{"info":"compute binary expreesion, left_input=6986220, right_input=8, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1809430507","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1809430507, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⊥((≮⫘↔1110101011110+⇶⊼≮⫘↔101011010000)∼(≮⫘↔1001000100011↛⩡⫤)))⋷(≮⫘↔110001110011*≮⫘↔10001001000)⪮%⊝(≮⫘↔10110100011≫≃)≎⊠⪸((≮⫘↔10000001100111/≮⫘↔11100001010)⪐)=NaN","reverse_text":"NaN=(⊥((≮⫘↔1110101011110+⇶⊼≮⫘↔101011010000)∼(≮⫘↔1001000100011↛⩡⫤)))⋷(≮⫘↔110001110011*≮⫘↔10001001000)⪮%⊝(≮⫘↔10110100011≫≃)≎⊠⪸((≮⫘↔10000001100111/≮⫘↔11100001010)⪐)","cot":[{"info":"≮⫘↔1110101011110+⇶⊼≮⫘↔101011010000=NaN","layer":3},{"info":"≮⫘↔1001000100011↛⩡⫤=≮⫘↔-10101010001101011110","layer":3},{"info":"NaN∼≮⫘↔-10101010001101011110=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"≮⫘↔110001110011*≮⫘↔10001001000=≮⫘↔1101010100110001011000","layer":3},{"info":"≮⫘↔10110100011≫≃=≮⫘↔1000010111111","layer":3},{"info":"≮⫘↔1101010100110001011000⪮%⊝≮⫘↔1000010111111=≮⫘↔11010101001100111101100","layer":2},{"info":"≮⫘↔10000001100111/≮⫘↔11100001010=≮⫘↔100","layer":3},{"info":"≮⫘↔100⪐=≮⫘↔1000","layer":2},{"info":"≮⫘↔11010101001100111101100≎⊠⪸≮⫘↔1000=≮⫘↔1101011110110011011011111101011","layer":1},{"info":"NaN⋷≮⫘↔1101011110110011011011111101011=NaN","layer":0}]}
{"id":969,"expression_no_base_symbol":"⨈⫕($2166$%$2512$⋷(⪝⪂⫅$6645$))≹⇙⪍($1204$⇼⇔∾$1399$⇼⇔∾(↽≂$1078$))","expression":"⨈⫕(≮⫘↔100001110110%≮⫘↔100111010000⋷(⪝⪂⫅≮⫘↔1100111110101))≹⇙⪍(≮⫘↔10010110100⇼⇔∾≮⫘↔10101110111⇼⇔∾(↽≂≮⫘↔10000110110))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":548,"operation_count":8,"complexity_ratio":68.5,"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":2166,"base":2},"right_expr":{"type":"numeric_atoms","value":2512,"base":2}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6645,"base":2}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1204,"base":2},"right_expr":{"type":"numeric_atoms","value":1399,"base":2}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1078,"base":2}}}}},"used_operators":["megm06wKyl","AHs5Up7iyr","23Mk6UjR3U","k8jYdgA6NY","XTarYq4gQB","tifHPKVTfV","u6S6b8DprG"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"≮⫘↔-10101","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2166","layer":4},{"info":"number node, value=2512","layer":4},{"info":"compute binary expreesion, left_input=2166, right_input=2512, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2166","layer":3},{"info":"number node, value=6645","layer":4},{"info":"compute unary expreesion, input=6645, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-976815","layer":3},{"info":"compute binary expreesion, left_input=2166, right_input=-976815, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1955796","layer":2},{"info":"number node, value=1204","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=1204, right_input=1399, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=195","layer":3},{"info":"number node, value=1078","layer":4},{"info":"compute unary expreesion, input=1078, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2156","layer":3},{"info":"compute binary expreesion, left_input=195, right_input=-2156, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2351","layer":2},{"info":"compute binary expreesion, left_input=-1955796, right_input=-2351, 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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":2,"result_base":2,"text":"⨈⫕(≮⫘↔100001110110%≮⫘↔100111010000⋷(⪝⪂⫅≮⫘↔1100111110101))≹⇙⪍(≮⫘↔10010110100⇼⇔∾≮⫘↔10101110111⇼⇔∾(↽≂≮⫘↔10000110110))=≮⫘↔-10101","reverse_text":"≮⫘↔-10101=⨈⫕(≮⫘↔100001110110%≮⫘↔100111010000⋷(⪝⪂⫅≮⫘↔1100111110101))≹⇙⪍(≮⫘↔10010110100⇼⇔∾≮⫘↔10101110111⇼⇔∾(↽≂≮⫘↔10000110110))","cot":[{"info":"≮⫘↔100001110110%≮⫘↔100111010000=≮⫘↔100001110110","layer":3},{"info":"⪝⪂⫅≮⫘↔1100111110101=≮⫘↔-11101110011110101111","layer":3},{"info":"≮⫘↔100001110110⋷≮⫘↔-11101110011110101111=≮⫘↔-111011101011111010100","layer":2},{"info":"≮⫘↔10010110100⇼⇔∾≮⫘↔10101110111=≮⫘↔11000011","layer":3},{"info":"↽≂≮⫘↔10000110110=≮⫘↔-100001101100","layer":3},{"info":"≮⫘↔11000011⇼⇔∾≮⫘↔-100001101100=≮⫘↔-100100101111","layer":2},{"info":"≮⫘↔-111011101011111010100≹⇙⪍≮⫘↔-100100101111=NaN","layer":1},{"info":"⨈⫕NaN=≮⫘↔-10101","layer":0}]}
{"id":970,"expression_no_base_symbol":"($3011$⩨$3889$)⪢($8705$⨽$2133$)*(↩($1397$-$2988$))↪⪝","expression":"(≮⫘↔101111000011⩨≮⫘↔111100110001)⪢(≮⫘↔10001000000001⨽≮⫘↔100001010101)*(↩(≮⫘↔10101110101-≮⫘↔101110101100))↪⪝","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8746,"operation_count":7,"complexity_ratio":1249.4285714285713,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3011,"base":2},"right_expr":{"type":"numeric_atoms","value":3889,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":8705,"base":2},"right_expr":{"type":"numeric_atoms","value":2133,"base":2}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1397,"base":2},"right_expr":{"type":"numeric_atoms","value":2988,"base":2}}}}},"used_operators":["l07mrZUIn9","9HNa5Wba9A","dWAJyo7jo9","2DlMacCsIx","8HhzD0ZcuI","jLgFTUHLKL","rysDP5nf3Z"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3011","layer":4},{"info":"number node, value=3889","layer":4},{"info":"compute binary expreesion, left_input=3011, right_input=3889, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=8705","layer":4},{"info":"number node, value=2133","layer":4},{"info":"compute binary expreesion, left_input=8705, right_input=2133, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-227336160","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-227336160, 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=1397","layer":4},{"info":"number node, value=2988","layer":4},{"info":"compute binary expreesion, left_input=1397, right_input=2988, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1591","layer":3},{"info":"compute unary expreesion, input=-1591, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=8984","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8984, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔101111000011⩨≮⫘↔111100110001)⪢(≮⫘↔10001000000001⨽≮⫘↔100001010101)*(↩(≮⫘↔10101110101-≮⫘↔101110101100))↪⪝=NaN","reverse_text":"NaN=(≮⫘↔101111000011⩨≮⫘↔111100110001)⪢(≮⫘↔10001000000001⨽≮⫘↔100001010101)*(↩(≮⫘↔10101110101-≮⫘↔101110101100))↪⪝","cot":[{"info":"≮⫘↔101111000011⩨≮⫘↔111100110001=≮⫘↔-11","layer":3},{"info":"≮⫘↔10001000000001⨽≮⫘↔100001010101=≮⫘↔-1101100011001101111111100000","layer":3},{"info":"≮⫘↔-11⪢≮⫘↔-1101100011001101111111100000=NaN","layer":2},{"info":"≮⫘↔10101110101-≮⫘↔101110101100=≮⫘↔-11000110111","layer":3},{"info":"↩≮⫘↔-11000110111=≮⫘↔10001100011000","layer":2},{"info":"NaN*≮⫘↔10001100011000=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":971,"expression_no_base_symbol":"(((+⊝⨔$9034$)↛⩡⫤)⪨≂($2102$⨸⪁$4176$⋷$3050$⨟⋌⩍$8523$))⋝⋈⪟(($4096$⪒$1625$)⨟⋌⩍(↔$1482$)⨰(($3687$*$5557$)⋳⪒($2844$/$2066$)))","expression":"(((+⊝⨔≮⫘↔10001101001010)↛⩡⫤)⪨≂(≮⫘↔100000110110⨸⪁≮⫘↔1000001010000⋷≮⫘↔101111101010⨟⋌⩍≮⫘↔10000101001011))⋝⋈⪟((≮⫘↔1000000000000⪒≮⫘↔11001011001)⨟⋌⩍(↔≮⫘↔10111001010)⨰((≮⫘↔111001100111*≮⫘↔1010110110101)⋳⪒(≮⫘↔101100011100/≮⫘↔100000010010)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8467,"operation_count":14,"complexity_ratio":604.7857142857143,"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":9034,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2102,"base":2},"right_expr":{"type":"numeric_atoms","value":4176,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3050,"base":2},"right_expr":{"type":"numeric_atoms","value":8523,"base":2}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4096,"base":2},"right_expr":{"type":"numeric_atoms","value":1625,"base":2}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1482,"base":2}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3687,"base":2},"right_expr":{"type":"numeric_atoms","value":5557,"base":2}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2844,"base":2},"right_expr":{"type":"numeric_atoms","value":2066,"base":2}}}}},"used_operators":["2DDjHMKMc0","sdazOOVcIp","FU0Cs4j7VP","DhbWaqg5eL","23Mk6UjR3U","g55IO6H4Gj","rGHVDoGpnC","eewbuw0ToL","f6k1SAg4EE","ruOEQAzv1W","12rbrZMWeM","9HNa5Wba9A","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=9034","layer":4},{"info":"compute unary expreesion, input=9034, 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 = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-225911","layer":2},{"info":"number node, value=2102","layer":4},{"info":"number node, value=4176","layer":4},{"info":"compute binary expreesion, left_input=2102, right_input=4176, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12556","layer":3},{"info":"number node, value=3050","layer":4},{"info":"number node, value=8523","layer":4},{"info":"compute binary expreesion, left_input=3050, right_input=8523, 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=12556, right_input=nan, 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=-225911, 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":"number node, value=4096","layer":4},{"info":"number node, value=1625","layer":4},{"info":"compute binary expreesion, left_input=4096, right_input=1625, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5721","layer":3},{"info":"number node, value=1482","layer":4},{"info":"compute unary expreesion, input=1482, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1209","layer":3},{"info":"compute binary expreesion, left_input=-5721, right_input=-1209, 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=3687","layer":4},{"info":"number node, value=5557","layer":4},{"info":"compute binary expreesion, left_input=3687, right_input=5557, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=20488659","layer":3},{"info":"number node, value=2844","layer":4},{"info":"number node, value=2066","layer":4},{"info":"compute binary expreesion, left_input=2844, right_input=2066, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=20488659, right_input=1, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=40977030","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=40977030, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(((+⊝⨔≮⫘↔10001101001010)↛⩡⫤)⪨≂(≮⫘↔100000110110⨸⪁≮⫘↔1000001010000⋷≮⫘↔101111101010⨟⋌⩍≮⫘↔10000101001011))⋝⋈⪟((≮⫘↔1000000000000⪒≮⫘↔11001011001)⨟⋌⩍(↔≮⫘↔10111001010)⨰((≮⫘↔111001100111*≮⫘↔1010110110101)⋳⪒(≮⫘↔101100011100/≮⫘↔100000010010)))=NaN","reverse_text":"NaN=(((+⊝⨔≮⫘↔10001101001010)↛⩡⫤)⪨≂(≮⫘↔100000110110⨸⪁≮⫘↔1000001010000⋷≮⫘↔101111101010⨟⋌⩍≮⫘↔10000101001011))⋝⋈⪟((≮⫘↔1000000000000⪒≮⫘↔11001011001)⨟⋌⩍(↔≮⫘↔10111001010)⨰((≮⫘↔111001100111*≮⫘↔1010110110101)⋳⪒(≮⫘↔101100011100/≮⫘↔100000010010)))","cot":[{"info":"+⊝⨔≮⫘↔10001101001010=≮⫘↔10111110010","layer":3},{"info":"≮⫘↔10111110010↛⩡⫤=≮⫘↔-110111001001110111","layer":2},{"info":"≮⫘↔100000110110⨸⪁≮⫘↔1000001010000=≮⫘↔11000100001100","layer":3},{"info":"≮⫘↔101111101010⨟⋌⩍≮⫘↔10000101001011=NaN","layer":3},{"info":"≮⫘↔11000100001100⋷NaN=NaN","layer":2},{"info":"≮⫘↔-110111001001110111⪨≂NaN=NaN","layer":1},{"info":"≮⫘↔1000000000000⪒≮⫘↔11001011001=≮⫘↔-1011001011001","layer":3},{"info":"↔≮⫘↔10111001010=≮⫘↔-10010111001","layer":3},{"info":"≮⫘↔-1011001011001⨟⋌⩍≮⫘↔-10010111001=NaN","layer":2},{"info":"≮⫘↔111001100111*≮⫘↔1010110110101=≮⫘↔1001110001010000111010011","layer":3},{"info":"≮⫘↔101100011100/≮⫘↔100000010010=≮⫘↔1","layer":3},{"info":"≮⫘↔1001110001010000111010011⋳⪒≮⫘↔1=≮⫘↔10011100010100001010000110","layer":2},{"info":"NaN⨰≮⫘↔10011100010100001010000110=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":972,"expression_no_base_symbol":"($1242$∼$5040$⊦⊿)∼($1075$⩷∴$3052$⪒$1012$∑⇟⊟$3322$)⋝⋈⪟($1329$⫥∨⫟$5736$⨎(⪲⇎$3132$)⋷(⊙↵-$4992$)⇷($1272$⋳⪒$2168$))","expression":"(≮⫘↔10011011010∼≮⫘↔1001110110000⊦⊿)∼(≮⫘↔10000110011⩷∴≮⫘↔101111101100⪒≮⫘↔1111110100∑⇟⊟≮⫘↔110011111010)⋝⋈⪟(≮⫘↔10100110001⫥∨⫟≮⫘↔1011001101000⨎(⪲⇎≮⫘↔110000111100)⋷(⊙↵-≮⫘↔1001110000000)⇷(≮⫘↔10011111000⋳⪒≮⫘↔100001111000))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5273,"operation_count":14,"complexity_ratio":376.64285714285717,"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":1242,"base":2},"right_expr":{"type":"numeric_atoms","value":5040,"base":2}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1075,"base":2},"right_expr":{"type":"numeric_atoms","value":3052,"base":2}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1012,"base":2},"right_expr":{"type":"numeric_atoms","value":3322,"base":2}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1329,"base":2},"right_expr":{"type":"numeric_atoms","value":5736,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3132,"base":2}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4992,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1272,"base":2},"right_expr":{"type":"numeric_atoms","value":2168,"base":2}}}}},"used_operators":["2DDjHMKMc0","DyGG3AbaNP","14qkJME0vr","f6k1SAg4EE","9FxExcQeMw","U7g4x0WXJJ","23Mk6UjR3U","rJVOvQCfKK","KYD54nUTWz","XPYlsWDdGa","mp7IySMOzn","oWn0xqSxBt","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1242","layer":4},{"info":"number node, value=5040","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=5040, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=1075","layer":4},{"info":"number node, value=3052","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=3052, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3986","layer":3},{"info":"number node, value=1012","layer":4},{"info":"number node, value=3322","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=3322, 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=-3986, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, 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":1},{"info":"number node, value=1329","layer":4},{"info":"number node, value=5736","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=5736, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3132","layer":4},{"info":"compute unary expreesion, input=3132, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6264","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6264, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6264","layer":2},{"info":"number node, value=4992","layer":4},{"info":"compute unary expreesion, input=4992, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1272","layer":4},{"info":"number node, value=2168","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=2168, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=89","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=89, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=178","layer":2},{"info":"compute binary expreesion, left_input=6264, right_input=178, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-5908","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5908, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10011011010∼≮⫘↔1001110110000⊦⊿)∼(≮⫘↔10000110011⩷∴≮⫘↔101111101100⪒≮⫘↔1111110100∑⇟⊟≮⫘↔110011111010)⋝⋈⪟(≮⫘↔10100110001⫥∨⫟≮⫘↔1011001101000⨎(⪲⇎≮⫘↔110000111100)⋷(⊙↵-≮⫘↔1001110000000)⇷(≮⫘↔10011111000⋳⪒≮⫘↔100001111000))=NaN","reverse_text":"NaN=(≮⫘↔10011011010∼≮⫘↔1001110110000⊦⊿)∼(≮⫘↔10000110011⩷∴≮⫘↔101111101100⪒≮⫘↔1111110100∑⇟⊟≮⫘↔110011111010)⋝⋈⪟(≮⫘↔10100110001⫥∨⫟≮⫘↔1011001101000⨎(⪲⇎≮⫘↔110000111100)⋷(⊙↵-≮⫘↔1001110000000)⇷(≮⫘↔10011111000⋳⪒≮⫘↔100001111000))","cot":[{"info":"≮⫘↔10011011010∼≮⫘↔1001110110000=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"≮⫘↔10000110011⩷∴≮⫘↔101111101100=≮⫘↔-111110010010","layer":3},{"info":"≮⫘↔1111110100∑⇟⊟≮⫘↔110011111010=NaN","layer":3},{"info":"≮⫘↔-111110010010⪒NaN=NaN","layer":2},{"info":"NaN∼NaN=NaN","layer":1},{"info":"≮⫘↔10100110001⫥∨⫟≮⫘↔1011001101000=NaN","layer":3},{"info":"⪲⇎≮⫘↔110000111100=≮⫘↔1100001111000","layer":3},{"info":"NaN⨎≮⫘↔1100001111000=≮⫘↔1100001111000","layer":2},{"info":"⊙↵-≮⫘↔1001110000000=≮⫘↔-1","layer":3},{"info":"≮⫘↔10011111000⋳⪒≮⫘↔100001111000=≮⫘↔1011001","layer":3},{"info":"≮⫘↔-1⇷≮⫘↔1011001=≮⫘↔10110010","layer":2},{"info":"≮⫘↔1100001111000⋷≮⫘↔10110010=≮⫘↔-1011100010100","layer":1},{"info":"NaN⋝⋈⪟≮⫘↔-1011100010100=NaN","layer":0}]}
{"id":973,"expression_no_base_symbol":"(($3374$≣⋋)⪮%⊝(⫛⫱⨽$2447$))≹⇙⪍(↽≂$1281$≎⊠⪸$1982$)⨟⋌⩍(($4099$∸)⨟⋌⩍(⨞⊢$1833$)⨰(($3156$∧)⫡⨏$2601$≹⇙⪍$2759$))","expression":"((≮⫘↔110100101110≣⋋)⪮%⊝(⫛⫱⨽≮⫘↔100110001111))≹⇙⪍(↽≂≮⫘↔10100000001≎⊠⪸≮⫘↔11110111110)⨟⋌⩍((≮⫘↔1000000000011∸)⨟⋌⩍(⨞⊢≮⫘↔11100101001)⨰((≮⫘↔110001010100∧)⫡⨏≮⫘↔101000101001≹⇙⪍≮⫘↔101011000111))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2420,"operation_count":14,"complexity_ratio":172.85714285714286,"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":3374,"base":2}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2447,"base":2}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1281,"base":2},"right_expr":{"type":"numeric_atoms","value":1982,"base":2}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":4099,"base":2}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1833,"base":2}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3156,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2601,"base":2},"right_expr":{"type":"numeric_atoms","value":2759,"base":2}}}}},"used_operators":["rGHVDoGpnC","AHs5Up7iyr","IWmyXbctLI","Tcnh7f0tEr","DlLNRPXxWL","u6S6b8DprG","bJkvcejdHO","eewbuw0ToL","o20kRiQErp","xUOZtlo3hN","QMFrweE19q","z63VuFQld9"],"dependent_operators":["Tcnh7f0tEr","dWAJyo7jo9","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3374","layer":4},{"info":"compute unary expreesion, input=3374, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"number node, value=2447","layer":4},{"info":"compute unary expreesion, input=2447, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1281","layer":4},{"info":"number node, value=1982","layer":4},{"info":"compute binary expreesion, left_input=1281, right_input=1982, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=331306","layer":3},{"info":"compute unary expreesion, input=331306, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-662612","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-662612, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=4099","layer":4},{"info":"compute unary expreesion, input=4099, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1833","layer":4},{"info":"compute unary expreesion, input=1833, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2007","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-2007, 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=3156","layer":4},{"info":"compute unary expreesion, input=3156, 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=2601","layer":4},{"info":"number node, value=2759","layer":4},{"info":"compute binary expreesion, left_input=2601, right_input=2759, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110100101110≣⋋)⪮%⊝(⫛⫱⨽≮⫘↔100110001111))≹⇙⪍(↽≂≮⫘↔10100000001≎⊠⪸≮⫘↔11110111110)⨟⋌⩍((≮⫘↔1000000000011∸)⨟⋌⩍(⨞⊢≮⫘↔11100101001)⨰((≮⫘↔110001010100∧)⫡⨏≮⫘↔101000101001≹⇙⪍≮⫘↔101011000111))=NaN","reverse_text":"NaN=((≮⫘↔110100101110≣⋋)⪮%⊝(⫛⫱⨽≮⫘↔100110001111))≹⇙⪍(↽≂≮⫘↔10100000001≎⊠⪸≮⫘↔11110111110)⨟⋌⩍((≮⫘↔1000000000011∸)⨟⋌⩍(⨞⊢≮⫘↔11100101001)⨰((≮⫘↔110001010100∧)⫡⨏≮⫘↔101000101001≹⇙⪍≮⫘↔101011000111))","cot":[{"info":"≮⫘↔110100101110≣⋋=≮⫘↔0","layer":3},{"info":"⫛⫱⨽≮⫘↔100110001111=≮⫘↔0","layer":3},{"info":"≮⫘↔0⪮%⊝≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔10100000001≎⊠⪸≮⫘↔11110111110=≮⫘↔1010000111000101010","layer":3},{"info":"↽≂≮⫘↔1010000111000101010=≮⫘↔-10100001110001010100","layer":2},{"info":"NaN≹⇙⪍≮⫘↔-10100001110001010100=NaN","layer":1},{"info":"≮⫘↔1000000000011∸=≮⫘↔10110001","layer":3},{"info":"⨞⊢≮⫘↔11100101001=≮⫘↔-11111010111","layer":3},{"info":"≮⫘↔10110001⨟⋌⩍≮⫘↔-11111010111=NaN","layer":2},{"info":"≮⫘↔110001010100∧=NaN","layer":3},{"info":"≮⫘↔101000101001≹⇙⪍≮⫘↔101011000111=NaN","layer":3},{"info":"NaN⫡⨏NaN=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":974,"expression_no_base_symbol":"($1938$⋓$9158$⋫)⨎$5339$⊴$1234$⋝⋈⪟($2147$⪒$3667$)⨎((($6133$⨸⪁$1056$)⩠)⋳⪒(⨰⫟⨤$1475$⪘⫢$6273$))","expression":"(≮⫘↔11110010010⋓≮⫘↔10001111000110⋫)⨎≮⫘↔1010011011011⊴≮⫘↔10011010010⋝⋈⪟(≮⫘↔100001100011⪒≮⫘↔111001010011)⨎(((≮⫘↔1011111110101⨸⪁≮⫘↔10000100000)⩠)⋳⪒(⨰⫟⨤≮⫘↔10111000011⪘⫢≮⫘↔1100010000001))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12402,"operation_count":12,"complexity_ratio":1033.5,"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":1938,"base":2},"right_expr":{"type":"numeric_atoms","value":9158,"base":2}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5339,"base":2},"right_expr":{"type":"numeric_atoms","value":1234,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2147,"base":2},"right_expr":{"type":"numeric_atoms","value":3667,"base":2}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6133,"base":2},"right_expr":{"type":"numeric_atoms","value":1056,"base":2}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1475,"base":2},"right_expr":{"type":"numeric_atoms","value":6273,"base":2}}}}},"used_operators":["rJVOvQCfKK","JL8yIekQnl","T2fj7uvVaJ","2DDjHMKMc0","Nsiff2A1zJ","f6k1SAg4EE","12rbrZMWeM","sJAwomhLZr","g55IO6H4Gj","Tw270M8GLb","oacrs7FA3X"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1938","layer":4},{"info":"number node, value=9158","layer":4},{"info":"compute binary expreesion, left_input=1938, right_input=9158, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=0","layer":2},{"info":"number node, value=5339","layer":4},{"info":"number node, value=1234","layer":4},{"info":"compute binary expreesion, left_input=5339, right_input=1234, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2147","layer":4},{"info":"number node, value=3667","layer":4},{"info":"compute binary expreesion, left_input=2147, right_input=3667, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5814","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5814, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, 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=6133","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=6133, right_input=1056, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14378","layer":3},{"info":"compute unary expreesion, input=14378, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"number node, value=1475","layer":4},{"info":"number node, value=6273","layer":4},{"info":"compute binary expreesion, left_input=1475, right_input=6273, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2826","layer":3},{"info":"compute unary expreesion, input=2826, 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=0, 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=nan, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔11110010010⋓≮⫘↔10001111000110⋫)⨎≮⫘↔1010011011011⊴≮⫘↔10011010010⋝⋈⪟(≮⫘↔100001100011⪒≮⫘↔111001010011)⨎(((≮⫘↔1011111110101⨸⪁≮⫘↔10000100000)⩠)⋳⪒(⨰⫟⨤≮⫘↔10111000011⪘⫢≮⫘↔1100010000001))=NaN","reverse_text":"NaN=(≮⫘↔11110010010⋓≮⫘↔10001111000110⋫)⨎≮⫘↔1010011011011⊴≮⫘↔10011010010⋝⋈⪟(≮⫘↔100001100011⪒≮⫘↔111001010011)⨎(((≮⫘↔1011111110101⨸⪁≮⫘↔10000100000)⩠)⋳⪒(⨰⫟⨤≮⫘↔10111000011⪘⫢≮⫘↔1100010000001))","cot":[{"info":"≮⫘↔11110010010⋓≮⫘↔10001111000110=≮⫘↔0","layer":3},{"info":"≮⫘↔0⋫=≮⫘↔0","layer":2},{"info":"≮⫘↔1010011011011⊴≮⫘↔10011010010=NaN","layer":3},{"info":"≮⫘↔100001100011⪒≮⫘↔111001010011=≮⫘↔-1011010110110","layer":3},{"info":"NaN⋝⋈⪟≮⫘↔-1011010110110=NaN","layer":2},{"info":"≮⫘↔0⨎NaN=NaN","layer":1},{"info":"≮⫘↔1011111110101⨸⪁≮⫘↔10000100000=≮⫘↔11100000101010","layer":3},{"info":"≮⫘↔11100000101010⩠=≮⫘↔0","layer":2},{"info":"≮⫘↔10111000011⪘⫢≮⫘↔1100010000001=≮⫘↔101100001010","layer":3},{"info":"⨰⫟⨤≮⫘↔101100001010=NaN","layer":2},{"info":"≮⫘↔0⋳⪒NaN=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":975,"expression_no_base_symbol":"((↩$1551$)⨪↰⇹(⇁⨣⪵$4091$)⫸⊐($3688$⋝⋈⪟$2199$)⇷($5753$⪨≂$7758$))⨳⩥⨓(∥⊫($1240$⨸⪁$3845$)⊴(⨞⊢$2083$))","expression":"((↩≮⫘↔11000001111)⨪↰⇹(⇁⨣⪵≮⫘↔111111111011)⫸⊐(≮⫘↔111001101000⋝⋈⪟≮⫘↔100010010111)⇷(≮⫘↔1011001111001⪨≂≮⫘↔1111001001110))⨳⩥⨓(∥⊫(≮⫘↔10011011000⨸⪁≮⫘↔111100000101)⊴(⨞⊢≮⫘↔100000100011))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":63768,"operation_count":12,"complexity_ratio":5314.0,"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":1551,"base":2}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4091,"base":2}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3688,"base":2},"right_expr":{"type":"numeric_atoms","value":2199,"base":2}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5753,"base":2},"right_expr":{"type":"numeric_atoms","value":7758,"base":2}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1240,"base":2},"right_expr":{"type":"numeric_atoms","value":3845,"base":2}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2083,"base":2}}}}},"used_operators":["nCS4ZIUYfx","mqXw5SEYmG","tmPS8pqC7x","jLgFTUHLKL","inkyxCbjAn","mp7IySMOzn","2DDjHMKMc0","sdazOOVcIp","P8v4zCKN1o","Nsiff2A1zJ","g55IO6H4Gj","xUOZtlo3hN"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","B5M0gjZbta","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1551","layer":4},{"info":"compute unary expreesion, input=1551, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9628","layer":3},{"info":"number node, value=4091","layer":4},{"info":"compute unary expreesion, input=4091, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-9628, 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=-9628","layer":2},{"info":"number node, value=3688","layer":4},{"info":"number node, value=2199","layer":4},{"info":"compute binary expreesion, left_input=3688, right_input=2199, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3688","layer":3},{"info":"number node, value=5753","layer":4},{"info":"number node, value=7758","layer":4},{"info":"compute binary expreesion, left_input=5753, right_input=7758, 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=-3908","layer":3},{"info":"compute binary expreesion, left_input=3688, right_input=-3908, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-9628, 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=1240","layer":4},{"info":"number node, value=3845","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=3845, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10170","layer":3},{"info":"number node, value=2083","layer":4},{"info":"compute unary expreesion, input=2083, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2257","layer":3},{"info":"compute binary expreesion, left_input=10170, right_input=-2257, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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 binary expreesion, left_input=968, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((↩≮⫘↔11000001111)⨪↰⇹(⇁⨣⪵≮⫘↔111111111011)⫸⊐(≮⫘↔111001101000⋝⋈⪟≮⫘↔100010010111)⇷(≮⫘↔1011001111001⪨≂≮⫘↔1111001001110))⨳⩥⨓(∥⊫(≮⫘↔10011011000⨸⪁≮⫘↔111100000101)⊴(⨞⊢≮⫘↔100000100011))=NaN","reverse_text":"NaN=((↩≮⫘↔11000001111)⨪↰⇹(⇁⨣⪵≮⫘↔111111111011)⫸⊐(≮⫘↔111001101000⋝⋈⪟≮⫘↔100010010111)⇷(≮⫘↔1011001111001⪨≂≮⫘↔1111001001110))⨳⩥⨓(∥⊫(≮⫘↔10011011000⨸⪁≮⫘↔111100000101)⊴(⨞⊢≮⫘↔100000100011))","cot":[{"info":"↩≮⫘↔11000001111=≮⫘↔-10010110011100","layer":3},{"info":"⇁⨣⪵≮⫘↔111111111011=NaN","layer":3},{"info":"≮⫘↔-10010110011100⨪↰⇹NaN=≮⫘↔-10010110011100","layer":2},{"info":"≮⫘↔111001101000⋝⋈⪟≮⫘↔100010010111=≮⫘↔111001101000","layer":3},{"info":"≮⫘↔1011001111001⪨≂≮⫘↔1111001001110=≮⫘↔-111101000100","layer":3},{"info":"≮⫘↔111001101000⇷≮⫘↔-111101000100=NaN","layer":2},{"info":"≮⫘↔-10010110011100⫸⊐NaN=≮⫘↔1111001000","layer":1},{"info":"≮⫘↔10011011000⨸⪁≮⫘↔111100000101=≮⫘↔10011110111010","layer":3},{"info":"⨞⊢≮⫘↔100000100011=≮⫘↔-100011010001","layer":3},{"info":"≮⫘↔10011110111010⊴≮⫘↔-100011010001=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"≮⫘↔1111001000⨳⩥⨓NaN=NaN","layer":0}]}
{"id":976,"expression_no_base_symbol":"(($4558$↙$4518$)⪘⫢(⨑⩽⪐$5256$)%$2262$∼$3094$⊭↱$4834$≧⫂∧$1371$)⨰((⇁⨣⪵(↩$3373$))⊉≛↸(≤/$6267$⫥∨⫟$4066$))","expression":"((≮⫘↔1000111001110↙≮⫘↔1000110100110)⪘⫢(⨑⩽⪐≮⫘↔1010010001000)%≮⫘↔100011010110∼≮⫘↔110000010110⊭↱≮⫘↔1001011100010≧⫂∧≮⫘↔10101011011)⨰((⇁⨣⪵(↩≮⫘↔110100101101))⊉≛↸(≤/≮⫘↔1100001111011⫥∨⫟≮⫘↔111111100010))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4768,"operation_count":13,"complexity_ratio":366.7692307692308,"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":4558,"base":2},"right_expr":{"type":"numeric_atoms","value":4518,"base":2}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5256,"base":2}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2262,"base":2},"right_expr":{"type":"numeric_atoms","value":3094,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4834,"base":2},"right_expr":{"type":"numeric_atoms","value":1371,"base":2}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3373,"base":2}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6267,"base":2},"right_expr":{"type":"numeric_atoms","value":4066,"base":2}}}}},"used_operators":["eewbuw0ToL","k8jYdgA6NY","oacrs7FA3X","yyfyN0ffXY","AF7qkfDlqP","COABgblf1C","DyGG3AbaNP","Ph9nP6C5qx","DZ8iAZOCBD","inkyxCbjAn","jLgFTUHLKL","eLAdDNolq6","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=4558","layer":4},{"info":"number node, value=4518","layer":4},{"info":"compute binary expreesion, left_input=4558, right_input=4518, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13554","layer":3},{"info":"number node, value=5256","layer":4},{"info":"compute unary expreesion, input=5256, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4983","layer":3},{"info":"compute binary expreesion, left_input=-13554, right_input=-4983, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"number node, value=2262","layer":4},{"info":"number node, value=3094","layer":4},{"info":"compute binary expreesion, left_input=2262, right_input=3094, 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=4834","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=4834, right_input=1371, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=898","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=898, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3373","layer":4},{"info":"compute unary expreesion, input=3373, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-24204","layer":3},{"info":"compute unary expreesion, input=-24204, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=6267","layer":4},{"info":"number node, value=4066","layer":4},{"info":"compute binary expreesion, left_input=6267, right_input=4066, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔1000111001110↙≮⫘↔1000110100110)⪘⫢(⨑⩽⪐≮⫘↔1010010001000)%≮⫘↔100011010110∼≮⫘↔110000010110⊭↱≮⫘↔1001011100010≧⫂∧≮⫘↔10101011011)⨰((⇁⨣⪵(↩≮⫘↔110100101101))⊉≛↸(≤/≮⫘↔1100001111011⫥∨⫟≮⫘↔111111100010))=NaN","reverse_text":"NaN=((≮⫘↔1000111001110↙≮⫘↔1000110100110)⪘⫢(⨑⩽⪐≮⫘↔1010010001000)%≮⫘↔100011010110∼≮⫘↔110000010110⊭↱≮⫘↔1001011100010≧⫂∧≮⫘↔10101011011)⨰((⇁⨣⪵(↩≮⫘↔110100101101))⊉≛↸(≤/≮⫘↔1100001111011⫥∨⫟≮⫘↔111111100010))","cot":[{"info":"≮⫘↔1000111001110↙≮⫘↔1000110100110=≮⫘↔-11010011110010","layer":3},{"info":"⨑⩽⪐≮⫘↔1010010001000=≮⫘↔-1001101110111","layer":3},{"info":"≮⫘↔-11010011110010⪘⫢≮⫘↔-1001101110111=≮⫘↔-1","layer":2},{"info":"≮⫘↔100011010110∼≮⫘↔110000010110=NaN","layer":3},{"info":"≮⫘↔1001011100010≧⫂∧≮⫘↔10101011011=≮⫘↔1110000010","layer":3},{"info":"NaN⊭↱≮⫘↔1110000010=NaN","layer":2},{"info":"≮⫘↔-1%NaN=NaN","layer":1},{"info":"↩≮⫘↔110100101101=≮⫘↔-101111010001100","layer":3},{"info":"⇁⨣⪵≮⫘↔-101111010001100=NaN","layer":2},{"info":"≮⫘↔1100001111011⫥∨⫟≮⫘↔111111100010=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":977,"expression_no_base_symbol":"⨑⩽⪐(≉($3349$⪄$1690$)⨪↰⇹($4428$⫌⩹⨱))","expression":"⨑⩽⪐(≉(≮⫘↔110100010101⪄≮⫘↔11010011010)⨪↰⇹(≮⫘↔1000101001100⫌⩹⨱))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":498609,"operation_count":5,"complexity_ratio":99721.8,"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":3349,"base":2},"right_expr":{"type":"numeric_atoms","value":1690,"base":2}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":4428,"base":2}}}}},"used_operators":["AF7qkfDlqP","e1ybzncUwg","tmPS8pqC7x","SUmda5xLS4","EBcxylXtPf"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z"],"result":"≮⫘↔-1111001110001000111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3349","layer":4},{"info":"number node, value=1690","layer":4},{"info":"compute binary expreesion, left_input=3349, right_input=1690, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-498501","layer":3},{"info":"number node, value=4428","layer":4},{"info":"compute unary expreesion, input=4428, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=10257","layer":3},{"info":"compute binary expreesion, left_input=-498501, right_input=10257, 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=498501","layer":2},{"info":"compute unary expreesion, input=498501, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=499032","layer":1},{"info":"compute unary expreesion, input=499032, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-498759","layer":0}],"base":2,"result_base":2,"text":"⨑⩽⪐(≉(≮⫘↔110100010101⪄≮⫘↔11010011010)⨪↰⇹(≮⫘↔1000101001100⫌⩹⨱))=≮⫘↔-1111001110001000111","reverse_text":"≮⫘↔-1111001110001000111=⨑⩽⪐(≉(≮⫘↔110100010101⪄≮⫘↔11010011010)⨪↰⇹(≮⫘↔1000101001100⫌⩹⨱))","cot":[{"info":"≮⫘↔110100010101⪄≮⫘↔11010011010=≮⫘↔-1111001101101000101","layer":3},{"info":"≮⫘↔1000101001100⫌⩹⨱=≮⫘↔10100000010001","layer":3},{"info":"≮⫘↔-1111001101101000101⨪↰⇹≮⫘↔10100000010001=≮⫘↔1111001101101000101","layer":2},{"info":"≉≮⫘↔1111001101101000101=≮⫘↔1111001110101011000","layer":1},{"info":"⨑⩽⪐≮⫘↔1111001110101011000=≮⫘↔-1111001110001000111","layer":0}]}
{"id":978,"expression_no_base_symbol":"($3170$⪘⫢$2926$)⪘⫢(⫛⫱⨽$1367$)⋓($7216$⪘⫢$1591$⨵⪆$2206$⊉≛↸$2806$)⪨≂((⪝⪂⫅$3443$)⨰$1257$≹⇙⪍$4157$⫡⨏(≦∁(↣≠⋷$6186$)))","expression":"(≮⫘↔110001100010⪘⫢≮⫘↔101101101110)⪘⫢(⫛⫱⨽≮⫘↔10101010111)⋓(≮⫘↔1110000110000⪘⫢≮⫘↔11000110111⨵⪆≮⫘↔100010011110⊉≛↸≮⫘↔101011110110)⪨≂((⪝⪂⫅≮⫘↔110101110011)⨰≮⫘↔10011101001≹⇙⪍≮⫘↔1000000111101⫡⨏(≦∁(↣≠⋷≮⫘↔1100000101010)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1650,"operation_count":14,"complexity_ratio":117.85714285714286,"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":3170,"base":2},"right_expr":{"type":"numeric_atoms","value":2926,"base":2}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1367,"base":2}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":7216,"base":2},"right_expr":{"type":"numeric_atoms","value":1591,"base":2}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2206,"base":2},"right_expr":{"type":"numeric_atoms","value":2806,"base":2}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3443,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1257,"base":2},"right_expr":{"type":"numeric_atoms","value":4157,"base":2}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":6186,"base":2}}}}},"used_operators":["sdazOOVcIp","T2fj7uvVaJ","oacrs7FA3X","DlLNRPXxWL","2DQ55sFlQl","DZ8iAZOCBD","QMFrweE19q","eewbuw0ToL","XTarYq4gQB","AHs5Up7iyr","9ICcGScMcE","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3170","layer":4},{"info":"number node, value=2926","layer":4},{"info":"compute binary expreesion, left_input=3170, right_input=2926, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6216","layer":3},{"info":"number node, value=1367","layer":4},{"info":"compute unary expreesion, input=1367, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6216, right_input=0, 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":"number node, value=7216","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=7216, right_input=1591, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=14308","layer":3},{"info":"number node, value=2206","layer":4},{"info":"number node, value=2806","layer":4},{"info":"compute binary expreesion, left_input=2206, right_input=2806, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4412","layer":3},{"info":"compute binary expreesion, left_input=14308, right_input=4412, 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 = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=3443","layer":4},{"info":"compute unary expreesion, input=3443, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-506121","layer":3},{"info":"number node, value=1257","layer":4},{"info":"number node, value=4157","layer":4},{"info":"compute binary expreesion, left_input=1257, right_input=4157, 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=-506121, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=6186","layer":4},{"info":"compute unary expreesion, input=6186, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', 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=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":"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":2,"result_base":2,"text":"(≮⫘↔110001100010⪘⫢≮⫘↔101101101110)⪘⫢(⫛⫱⨽≮⫘↔10101010111)⋓(≮⫘↔1110000110000⪘⫢≮⫘↔11000110111⨵⪆≮⫘↔100010011110⊉≛↸≮⫘↔101011110110)⪨≂((⪝⪂⫅≮⫘↔110101110011)⨰≮⫘↔10011101001≹⇙⪍≮⫘↔1000000111101⫡⨏(≦∁(↣≠⋷≮⫘↔1100000101010)))=NaN","reverse_text":"NaN=(≮⫘↔110001100010⪘⫢≮⫘↔101101101110)⪘⫢(⫛⫱⨽≮⫘↔10101010111)⋓(≮⫘↔1110000110000⪘⫢≮⫘↔11000110111⨵⪆≮⫘↔100010011110⊉≛↸≮⫘↔101011110110)⪨≂((⪝⪂⫅≮⫘↔110101110011)⨰≮⫘↔10011101001≹⇙⪍≮⫘↔1000000111101⫡⨏(≦∁(↣≠⋷≮⫘↔1100000101010)))","cot":[{"info":"≮⫘↔110001100010⪘⫢≮⫘↔101101101110=≮⫘↔1100001001000","layer":3},{"info":"⫛⫱⨽≮⫘↔10101010111=≮⫘↔0","layer":3},{"info":"≮⫘↔1100001001000⪘⫢≮⫘↔0=≮⫘↔0","layer":2},{"info":"≮⫘↔1110000110000⪘⫢≮⫘↔11000110111=≮⫘↔11011111100100","layer":3},{"info":"≮⫘↔100010011110⊉≛↸≮⫘↔101011110110=≮⫘↔1000100111100","layer":3},{"info":"≮⫘↔11011111100100⨵⪆≮⫘↔1000100111100=≮⫘↔10100000","layer":2},{"info":"≮⫘↔0⋓≮⫘↔10100000=≮⫘↔0","layer":1},{"info":"⪝⪂⫅≮⫘↔110101110011=≮⫘↔-1111011100100001001","layer":3},{"info":"≮⫘↔10011101001≹⇙⪍≮⫘↔1000000111101=NaN","layer":3},{"info":"≮⫘↔-1111011100100001001⨰NaN=NaN","layer":2},{"info":"↣≠⋷≮⫘↔1100000101010=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"≮⫘↔0⪨≂NaN=NaN","layer":0}]}
{"id":979,"expression_no_base_symbol":"(($1218$⨐⩸⫘$1916$)⪮%⊝($1076$≭$1424$))⪮%⊝((⪝⪂⫅$1053$)⨽($1740$-$5619$))+($2836$⪛$7512$⇋≉)≎⊠⪸($3932$⋓$1958$⊭↱(⨑⩽⪐$1005$))","expression":"((≮⫘↔10011000010⨐⩸⫘≮⫘↔11101111100)⪮%⊝(≮⫘↔10000110100≭≮⫘↔10110010000))⪮%⊝((⪝⪂⫅≮⫘↔10000011101)⨽(≮⫘↔11011001100-≮⫘↔1010111110011))+(≮⫘↔101100010100⪛≮⫘↔1110101011000⇋≉)≎⊠⪸(≮⫘↔111101011100⋓≮⫘↔11110100110⊭↱(⨑⩽⪐≮⫘↔1111101101))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":155013,"operation_count":14,"complexity_ratio":11072.357142857143,"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":1218,"base":2},"right_expr":{"type":"numeric_atoms","value":1916,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1076,"base":2},"right_expr":{"type":"numeric_atoms","value":1424,"base":2}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1053,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1740,"base":2},"right_expr":{"type":"numeric_atoms","value":5619,"base":2}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2836,"base":2},"right_expr":{"type":"numeric_atoms","value":7512,"base":2}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3932,"base":2},"right_expr":{"type":"numeric_atoms","value":1958,"base":2}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1005,"base":2}}}}},"used_operators":["W4YGzv6Whe","IWmyXbctLI","fu6greOZ01","rxpJgHHUmx","8HhzD0ZcuI","XTarYq4gQB","rysDP5nf3Z","bJkvcejdHO","XIabStNQrY","uFcxV4UQCh","COABgblf1C","T2fj7uvVaJ","AF7qkfDlqP"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","3ViojmjbAp","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1218","layer":4},{"info":"number node, value=1916","layer":4},{"info":"compute binary expreesion, left_input=1218, right_input=1916, 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=1076","layer":4},{"info":"number node, value=1424","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=1424, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1053","layer":4},{"info":"compute unary expreesion, input=1053, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-154791","layer":3},{"info":"number node, value=1740","layer":4},{"info":"number node, value=5619","layer":4},{"info":"compute binary expreesion, left_input=1740, right_input=5619, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3879","layer":3},{"info":"compute binary expreesion, left_input=-154791, right_input=-3879, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=2836","layer":4},{"info":"number node, value=7512","layer":4},{"info":"compute binary expreesion, left_input=2836, right_input=7512, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2836","layer":3},{"info":"compute unary expreesion, input=2836, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5574","layer":2},{"info":"number node, value=3932","layer":4},{"info":"number node, value=1958","layer":4},{"info":"compute binary expreesion, left_input=3932, right_input=1958, 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=1005","layer":4},{"info":"compute unary expreesion, input=1005, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-732","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-732, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1459","layer":2},{"info":"compute binary expreesion, left_input=5574, right_input=-1459, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10011000010⨐⩸⫘≮⫘↔11101111100)⪮%⊝(≮⫘↔10000110100≭≮⫘↔10110010000))⪮%⊝((⪝⪂⫅≮⫘↔10000011101)⨽(≮⫘↔11011001100-≮⫘↔1010111110011))+(≮⫘↔101100010100⪛≮⫘↔1110101011000⇋≉)≎⊠⪸(≮⫘↔111101011100⋓≮⫘↔11110100110⊭↱(⨑⩽⪐≮⫘↔1111101101))=NaN","reverse_text":"NaN=((≮⫘↔10011000010⨐⩸⫘≮⫘↔11101111100)⪮%⊝(≮⫘↔10000110100≭≮⫘↔10110010000))⪮%⊝((⪝⪂⫅≮⫘↔10000011101)⨽(≮⫘↔11011001100-≮⫘↔1010111110011))+(≮⫘↔101100010100⪛≮⫘↔1110101011000⇋≉)≎⊠⪸(≮⫘↔111101011100⋓≮⫘↔11110100110⊭↱(⨑⩽⪐≮⫘↔1111101101))","cot":[{"info":"≮⫘↔10011000010⨐⩸⫘≮⫘↔11101111100=NaN","layer":3},{"info":"≮⫘↔10000110100≭≮⫘↔10110010000=NaN","layer":3},{"info":"NaN⪮%⊝NaN=NaN","layer":2},{"info":"⪝⪂⫅≮⫘↔10000011101=≮⫘↔-100101110010100111","layer":3},{"info":"≮⫘↔11011001100-≮⫘↔1010111110011=≮⫘↔-111100100111","layer":3},{"info":"≮⫘↔-100101110010100111⨽≮⫘↔-111100100111=-Inf","layer":2},{"info":"NaN⪮%⊝-Inf=NaN","layer":1},{"info":"≮⫘↔101100010100⪛≮⫘↔1110101011000=≮⫘↔101100010100","layer":3},{"info":"≮⫘↔101100010100⇋≉=≮⫘↔1010111000110","layer":2},{"info":"≮⫘↔111101011100⋓≮⫘↔11110100110=≮⫘↔0","layer":3},{"info":"⨑⩽⪐≮⫘↔1111101101=≮⫘↔-1011011100","layer":3},{"info":"≮⫘↔0⊭↱≮⫘↔-1011011100=≮⫘↔-10110110011","layer":2},{"info":"≮⫘↔1010111000110≎⊠⪸≮⫘↔-10110110011=≮⫘↔1000011","layer":1},{"info":"NaN+≮⫘↔1000011=NaN","layer":0}]}
{"id":980,"expression_no_base_symbol":"(($1183$⪄$5260$)⊘)⩷∴((⪝⪂⫅$3634$)⩨(-$6125$))⋫","expression":"((≮⫘↔10010011111⪄≮⫘↔1010010001100)⊘)⩷∴((⪝⪂⫅≮⫘↔111000110010)⩨(-≮⫘↔1011111101101))⋫","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":311,"operation_count":7,"complexity_ratio":44.42857142857143,"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":1183,"base":2},"right_expr":{"type":"numeric_atoms","value":5260,"base":2}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3634,"base":2}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":6125,"base":2}}}}},"used_operators":["JL8yIekQnl","9FxExcQeMw","gu96TGCTMs","SUmda5xLS4","2DlMacCsIx","XTarYq4gQB","t8gj7n24qd"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","8w2t5hMYqp"],"result":"≮⫘↔-100010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1183","layer":4},{"info":"number node, value=5260","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=5260, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-192213","layer":3},{"info":"compute unary expreesion, input=-192213, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=-1","layer":2},{"info":"number node, value=3634","layer":4},{"info":"compute unary expreesion, input=3634, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-534198","layer":3},{"info":"number node, value=6125","layer":4},{"info":"compute unary expreesion, input=6125, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6125","layer":3},{"info":"compute binary expreesion, left_input=-534198, right_input=-6125, 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=-1, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-34","layer":1},{"info":"compute unary expreesion, input=-34, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-34","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10010011111⪄≮⫘↔1010010001100)⊘)⩷∴((⪝⪂⫅≮⫘↔111000110010)⩨(-≮⫘↔1011111101101))⋫=≮⫘↔-100010","reverse_text":"≮⫘↔-100010=((≮⫘↔10010011111⪄≮⫘↔1010010001100)⊘)⩷∴((⪝⪂⫅≮⫘↔111000110010)⩨(-≮⫘↔1011111101101))⋫","cot":[{"info":"≮⫘↔10010011111⪄≮⫘↔1010010001100=≮⫘↔-101110111011010101","layer":3},{"info":"≮⫘↔-101110111011010101⊘=≮⫘↔-1","layer":2},{"info":"⪝⪂⫅≮⫘↔111000110010=≮⫘↔-10000010011010110110","layer":3},{"info":"-≮⫘↔1011111101101=≮⫘↔-1011111101101","layer":3},{"info":"≮⫘↔-10000010011010110110⩨≮⫘↔-1011111101101=≮⫘↔0","layer":2},{"info":"≮⫘↔-1⩷∴≮⫘↔0=≮⫘↔-100010","layer":1},{"info":"≮⫘↔-100010⋫=≮⫘↔-100010","layer":0}]}
{"id":981,"expression_no_base_symbol":"($1017$↙$3024$↺(↥$7693$)⋷(↣≠⋷($7373$-$1031$)))∧","expression":"(≮⫘↔1111111001↙≮⫘↔101111010000↺(↥≮⫘↔1111000001101)⋷(↣≠⋷(≮⫘↔1110011001101-≮⫘↔10000000111)))∧","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3193,"operation_count":7,"complexity_ratio":456.14285714285717,"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":1017,"base":2},"right_expr":{"type":"numeric_atoms","value":3024,"base":2}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":7693,"base":2}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7373,"base":2},"right_expr":{"type":"numeric_atoms","value":1031,"base":2}}}}},"used_operators":["z63VuFQld9","23Mk6UjR3U","7j4O788W3g","yyfyN0ffXY","A8NUZmVepG","Asc51vEJeQ","rysDP5nf3Z"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr"],"result":"≮⫘↔0","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1017","layer":4},{"info":"number node, value=3024","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=3024, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9072","layer":3},{"info":"number node, value=7693","layer":4},{"info":"compute unary expreesion, input=7693, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=43","layer":3},{"info":"compute binary expreesion, left_input=-9072, right_input=43, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=43","layer":2},{"info":"number node, value=7373","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=7373, right_input=1031, op_id = rysDP5nf3Z binary_op_definition= 'None', output=6342","layer":3},{"info":"compute unary expreesion, input=6342, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=43, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-86","layer":1},{"info":"compute unary expreesion, input=-86, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1111111001↙≮⫘↔101111010000↺(↥≮⫘↔1111000001101)⋷(↣≠⋷(≮⫘↔1110011001101-≮⫘↔10000000111)))∧=≮⫘↔0","reverse_text":"≮⫘↔0=(≮⫘↔1111111001↙≮⫘↔101111010000↺(↥≮⫘↔1111000001101)⋷(↣≠⋷(≮⫘↔1110011001101-≮⫘↔10000000111)))∧","cot":[{"info":"≮⫘↔1111111001↙≮⫘↔101111010000=≮⫘↔-10001101110000","layer":3},{"info":"↥≮⫘↔1111000001101=≮⫘↔101011","layer":3},{"info":"≮⫘↔-10001101110000↺≮⫘↔101011=≮⫘↔101011","layer":2},{"info":"≮⫘↔1110011001101-≮⫘↔10000000111=≮⫘↔1100011000110","layer":3},{"info":"↣≠⋷≮⫘↔1100011000110=NaN","layer":2},{"info":"≮⫘↔101011⋷NaN=≮⫘↔-1010110","layer":1},{"info":"≮⫘↔-1010110∧=≮⫘↔0","layer":0}]}
{"id":982,"expression_no_base_symbol":"(($2304$⊠≄⫣)⪢($4179$⩷∴$2986$))⪢($4085$⪢$4104$⪄$1513$⋳⪒$2934$)↬(($3228$⨪↰⇹$4738$⪨≂$1004$≹⇙⪍$2157$)∑⇟⊟(($8472$↛⩡⫤)⋓($5116$≎⊠⪸$4635$)))","expression":"((≮⫘↔100100000000⊠≄⫣)⪢(≮⫘↔1000001010011⩷∴≮⫘↔101110101010))⪢(≮⫘↔111111110101⪢≮⫘↔1000000001000⪄≮⫘↔10111101001⋳⪒≮⫘↔101101110110)↬((≮⫘↔110010011100⨪↰⇹≮⫘↔1001010000010⪨≂≮⫘↔1111101100≹⇙⪍≮⫘↔100001101101)∑⇟⊟((≮⫘↔10000100011000↛⩡⫤)⋓(≮⫘↔1001111111100≎⊠⪸≮⫘↔1001000011011)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":39544,"operation_count":15,"complexity_ratio":2636.266666666667,"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":2304,"base":2}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4179,"base":2},"right_expr":{"type":"numeric_atoms","value":2986,"base":2}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4085,"base":2},"right_expr":{"type":"numeric_atoms","value":4104,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1513,"base":2},"right_expr":{"type":"numeric_atoms","value":2934,"base":2}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3228,"base":2},"right_expr":{"type":"numeric_atoms","value":4738,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1004,"base":2},"right_expr":{"type":"numeric_atoms","value":2157,"base":2}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":8472,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5116,"base":2},"right_expr":{"type":"numeric_atoms","value":4635,"base":2}}}}},"used_operators":["B5M0gjZbta","dWAJyo7jo9","DIvbN7qnHd","9FxExcQeMw","SUmda5xLS4","12rbrZMWeM","U7g4x0WXJJ","sdazOOVcIp","tmPS8pqC7x","AHs5Up7iyr","T2fj7uvVaJ","FU0Cs4j7VP","bJkvcejdHO"],"dependent_operators":["rGHVDoGpnC","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","dWAJyo7jo9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2304","layer":4},{"info":"compute unary expreesion, input=2304, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=4179","layer":4},{"info":"number node, value=2986","layer":4},{"info":"compute binary expreesion, left_input=4179, right_input=2986, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2354","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2354, 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=4085","layer":4},{"info":"number node, value=4104","layer":4},{"info":"compute binary expreesion, left_input=4085, right_input=4104, 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=1513","layer":4},{"info":"number node, value=2934","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=2934, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-195","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-195, 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 = 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=3228","layer":4},{"info":"number node, value=4738","layer":4},{"info":"compute binary expreesion, left_input=3228, right_input=4738, 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=3228","layer":3},{"info":"number node, value=1004","layer":4},{"info":"number node, value=2157","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=2157, 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=3228, 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":2},{"info":"number node, value=8472","layer":4},{"info":"compute unary expreesion, input=8472, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1275361","layer":3},{"info":"number node, value=5116","layer":4},{"info":"number node, value=4635","layer":4},{"info":"compute binary expreesion, left_input=5116, right_input=4635, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1324571","layer":3},{"info":"compute binary expreesion, left_input=-1275361, right_input=1324571, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔100100000000⊠≄⫣)⪢(≮⫘↔1000001010011⩷∴≮⫘↔101110101010))⪢(≮⫘↔111111110101⪢≮⫘↔1000000001000⪄≮⫘↔10111101001⋳⪒≮⫘↔101101110110)↬((≮⫘↔110010011100⨪↰⇹≮⫘↔1001010000010⪨≂≮⫘↔1111101100≹⇙⪍≮⫘↔100001101101)∑⇟⊟((≮⫘↔10000100011000↛⩡⫤)⋓(≮⫘↔1001111111100≎⊠⪸≮⫘↔1001000011011)))=NaN","reverse_text":"NaN=((≮⫘↔100100000000⊠≄⫣)⪢(≮⫘↔1000001010011⩷∴≮⫘↔101110101010))⪢(≮⫘↔111111110101⪢≮⫘↔1000000001000⪄≮⫘↔10111101001⋳⪒≮⫘↔101101110110)↬((≮⫘↔110010011100⨪↰⇹≮⫘↔1001010000010⪨≂≮⫘↔1111101100≹⇙⪍≮⫘↔100001101101)∑⇟⊟((≮⫘↔10000100011000↛⩡⫤)⋓(≮⫘↔1001111111100≎⊠⪸≮⫘↔1001000011011)))","cot":[{"info":"≮⫘↔100100000000⊠≄⫣=≮⫘↔0","layer":3},{"info":"≮⫘↔1000001010011⩷∴≮⫘↔101110101010=≮⫘↔100100110010","layer":3},{"info":"≮⫘↔0⪢≮⫘↔100100110010=NaN","layer":2},{"info":"≮⫘↔111111110101⪢≮⫘↔1000000001000=NaN","layer":3},{"info":"≮⫘↔10111101001⋳⪒≮⫘↔101101110110=≮⫘↔-11000011","layer":3},{"info":"NaN⪄≮⫘↔-11000011=≮⫘↔111110001011","layer":2},{"info":"NaN⪢≮⫘↔111110001011=NaN","layer":1},{"info":"≮⫘↔110010011100⨪↰⇹≮⫘↔1001010000010=≮⫘↔110010011100","layer":3},{"info":"≮⫘↔1111101100≹⇙⪍≮⫘↔100001101101=NaN","layer":3},{"info":"≮⫘↔110010011100⪨≂NaN=NaN","layer":2},{"info":"≮⫘↔10000100011000↛⩡⫤=≮⫘↔-100110111010111100001","layer":3},{"info":"≮⫘↔1001111111100≎⊠⪸≮⫘↔1001000011011=≮⫘↔101000011011000011011","layer":3},{"info":"≮⫘↔-100110111010111100001⋓≮⫘↔101000011011000011011=≮⫘↔0","layer":2},{"info":"NaN∑⇟⊟≮⫘↔0=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":983,"expression_no_base_symbol":"(($1929$⪘⫢$4332$⊭∹↮)⊘)⪨≂($1441$⊴$3366$⨰(⪝⪂⫅$2735$))∀⇚≩(($1531$⋷$1083$)↙$3160$≎⊠⪸$2595$)","expression":"((≮⫘↔11110001001⪘⫢≮⫘↔1000011101100⊭∹↮)⊘)⪨≂(≮⫘↔10110100001⊴≮⫘↔110100100110⨰(⪝⪂⫅≮⫘↔101010101111))∀⇚≩((≮⫘↔10111111011⋷≮⫘↔10000111011)↙≮⫘↔110001011000≎⊠⪸≮⫘↔101000100011)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":821817,"operation_count":11,"complexity_ratio":74710.63636363637,"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":1929,"base":2},"right_expr":{"type":"numeric_atoms","value":4332,"base":2}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1441,"base":2},"right_expr":{"type":"numeric_atoms","value":3366,"base":2}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2735,"base":2}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1531,"base":2},"right_expr":{"type":"numeric_atoms","value":1083,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3160,"base":2},"right_expr":{"type":"numeric_atoms","value":2595,"base":2}}}}},"used_operators":["sdazOOVcIp","gu96TGCTMs","xNBdhnnwKq","oacrs7FA3X","LRNGc0VcxI","eewbuw0ToL","Nsiff2A1zJ","XTarYq4gQB","yyfyN0ffXY","23Mk6UjR3U","bJkvcejdHO"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","8w2t5hMYqp","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1929","layer":4},{"info":"number node, value=4332","layer":4},{"info":"compute binary expreesion, left_input=1929, right_input=4332, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3734","layer":3},{"info":"compute unary expreesion, input=3734, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=7468","layer":2},{"info":"compute unary expreesion, input=7468, 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":"number node, value=1441","layer":4},{"info":"number node, value=3366","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=3366, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2735","layer":4},{"info":"compute unary expreesion, input=2735, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-402045","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-402045, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=1531","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=1531, right_input=1083, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=635","layer":3},{"info":"number node, value=3160","layer":4},{"info":"number node, value=2595","layer":4},{"info":"compute binary expreesion, left_input=3160, right_input=2595, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=817967","layer":3},{"info":"compute binary expreesion, left_input=635, right_input=817967, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2453901","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2453901, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":2,"result_base":2,"text":"((≮⫘↔11110001001⪘⫢≮⫘↔1000011101100⊭∹↮)⊘)⪨≂(≮⫘↔10110100001⊴≮⫘↔110100100110⨰(⪝⪂⫅≮⫘↔101010101111))∀⇚≩((≮⫘↔10111111011⋷≮⫘↔10000111011)↙≮⫘↔110001011000≎⊠⪸≮⫘↔101000100011)=NaN","reverse_text":"NaN=((≮⫘↔11110001001⪘⫢≮⫘↔1000011101100⊭∹↮)⊘)⪨≂(≮⫘↔10110100001⊴≮⫘↔110100100110⨰(⪝⪂⫅≮⫘↔101010101111))∀⇚≩((≮⫘↔10111111011⋷≮⫘↔10000111011)↙≮⫘↔110001011000≎⊠⪸≮⫘↔101000100011)","cot":[{"info":"≮⫘↔11110001001⪘⫢≮⫘↔1000011101100=≮⫘↔111010010110","layer":3},{"info":"≮⫘↔111010010110⊭∹↮=≮⫘↔1110100101100","layer":2},{"info":"≮⫘↔1110100101100⊘=≮⫘↔0","layer":1},{"info":"≮⫘↔10110100001⊴≮⫘↔110100100110=NaN","layer":3},{"info":"⪝⪂⫅≮⫘↔101010101111=≮⫘↔-1100010001001111101","layer":3},{"info":"NaN⨰≮⫘↔-1100010001001111101=NaN","layer":2},{"info":"≮⫘↔10111111011⋷≮⫘↔10000111011=≮⫘↔1001111011","layer":3},{"info":"≮⫘↔110001011000≎⊠⪸≮⫘↔101000100011=≮⫘↔11000111101100101111","layer":3},{"info":"≮⫘↔1001111011↙≮⫘↔11000111101100101111=≮⫘↔-1001010111000110001101","layer":2},{"info":"NaN∀⇚≩≮⫘↔-1001010111000110001101=NaN","layer":1},{"info":"≮⫘↔0⪨≂NaN=NaN","layer":0}]}
{"id":984,"expression_no_base_symbol":"((⨰⫟⨤$5887$)⨓($2130$⋳⪒$4505$))∼(↥$4474$⩚⊴⇥$1126$)⨰((⪝⪂⫅$6125$)↙(-$4030$)↛⩡⫤)","expression":"((⨰⫟⨤≮⫘↔1011011111111)⨓(≮⫘↔100001010010⋳⪒≮⫘↔1000110011001))∼(↥≮⫘↔1000101111010⩚⊴⇥≮⫘↔10001100110)⨰((⪝⪂⫅≮⫘↔1011111101101)↙(-≮⫘↔111110111110)↛⩡⫤)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2724964,"operation_count":11,"complexity_ratio":247724.0,"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":5887,"base":2}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2130,"base":2},"right_expr":{"type":"numeric_atoms","value":4505,"base":2}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4474,"base":2},"right_expr":{"type":"numeric_atoms","value":1126,"base":2}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6125,"base":2}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4030,"base":2}}}}},"used_operators":["eewbuw0ToL","DyGG3AbaNP","3ViojmjbAp","Tw270M8GLb","12rbrZMWeM","A8NUZmVepG","NTOWxs364D","FU0Cs4j7VP","yyfyN0ffXY","XTarYq4gQB","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","8w2t5hMYqp"],"result":"≮⫘↔111101011001001000010011100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5887","layer":4},{"info":"compute unary expreesion, input=5887, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=2130","layer":4},{"info":"number node, value=4505","layer":4},{"info":"compute binary expreesion, left_input=2130, right_input=4505, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-532","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-532, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=529","layer":2},{"info":"number node, value=4474","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=4474, right_input=1126, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5721","layer":3},{"info":"compute unary expreesion, input=-5721, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=42","layer":2},{"info":"compute binary expreesion, left_input=529, right_input=42, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"number node, value=6125","layer":4},{"info":"compute unary expreesion, input=6125, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-900375","layer":3},{"info":"number node, value=4030","layer":4},{"info":"compute unary expreesion, input=4030, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4030","layer":3},{"info":"compute binary expreesion, left_input=-900375, right_input=-4030, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-900375","layer":2},{"info":"compute unary expreesion, input=-900375, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-128749714","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-128749714, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=128749724","layer":0}],"base":2,"result_base":2,"text":"((⨰⫟⨤≮⫘↔1011011111111)⨓(≮⫘↔100001010010⋳⪒≮⫘↔1000110011001))∼(↥≮⫘↔1000101111010⩚⊴⇥≮⫘↔10001100110)⨰((⪝⪂⫅≮⫘↔1011111101101)↙(-≮⫘↔111110111110)↛⩡⫤)=≮⫘↔111101011001001000010011100","reverse_text":"≮⫘↔111101011001001000010011100=((⨰⫟⨤≮⫘↔1011011111111)⨓(≮⫘↔100001010010⋳⪒≮⫘↔1000110011001))∼(↥≮⫘↔1000101111010⩚⊴⇥≮⫘↔10001100110)⨰((⪝⪂⫅≮⫘↔1011111101101)↙(-≮⫘↔111110111110)↛⩡⫤)","cot":[{"info":"⨰⫟⨤≮⫘↔1011011111111=NaN","layer":3},{"info":"≮⫘↔100001010010⋳⪒≮⫘↔1000110011001=≮⫘↔-1000010100","layer":3},{"info":"NaN⨓≮⫘↔-1000010100=≮⫘↔1000010001","layer":2},{"info":"≮⫘↔1000101111010⩚⊴⇥≮⫘↔10001100110=≮⫘↔-1011001011001","layer":3},{"info":"↥≮⫘↔-1011001011001=≮⫘↔101010","layer":2},{"info":"≮⫘↔1000010001∼≮⫘↔101010=≮⫘↔0","layer":1},{"info":"⪝⪂⫅≮⫘↔1011111101101=≮⫘↔-11011011110100010111","layer":3},{"info":"-≮⫘↔111110111110=≮⫘↔-111110111110","layer":3},{"info":"≮⫘↔-11011011110100010111↙≮⫘↔-111110111110=≮⫘↔-11011011110100010111","layer":2},{"info":"≮⫘↔-11011011110100010111↛⩡⫤=≮⫘↔-111101011001001000010010010","layer":1},{"info":"≮⫘↔0⨰≮⫘↔-111101011001001000010010010=≮⫘↔111101011001001000010011100","layer":0}]}
{"id":985,"expression_no_base_symbol":"(≤/($2225$⩤))⨓($1028$⨓$6266$)⨪↰⇹($2511$⪒$5914$)⩤","expression":"(≤/(≮⫘↔100010110001⩤))⨓(≮⫘↔10000000100⨓≮⫘↔1100001111010)⨪↰⇹(≮⫘↔100111001111⪒≮⫘↔1011100011010)⩤","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":18822,"operation_count":7,"complexity_ratio":2688.8571428571427,"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":2225,"base":2}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1028,"base":2},"right_expr":{"type":"numeric_atoms","value":6266,"base":2}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2511,"base":2},"right_expr":{"type":"numeric_atoms","value":5914,"base":2}}}}},"used_operators":["Z2TMIBDE3Q","3ViojmjbAp","eLAdDNolq6","tmPS8pqC7x","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔1100010000000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=2225","layer":4},{"info":"compute unary expreesion, input=2225, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2225","layer":3},{"info":"compute unary expreesion, input=-2225, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=2709","layer":2},{"info":"number node, value=1028","layer":4},{"info":"number node, value=6266","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=6266, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6269","layer":3},{"info":"number node, value=2511","layer":4},{"info":"number node, value=5914","layer":4},{"info":"compute binary expreesion, left_input=2511, right_input=5914, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8425","layer":3},{"info":"compute binary expreesion, left_input=-6269, right_input=-8425, 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=6269","layer":2},{"info":"compute binary expreesion, left_input=2709, right_input=6269, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6272","layer":1},{"info":"compute unary expreesion, input=-6272, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=6272","layer":0}],"base":2,"result_base":2,"text":"(≤/(≮⫘↔100010110001⩤))⨓(≮⫘↔10000000100⨓≮⫘↔1100001111010)⨪↰⇹(≮⫘↔100111001111⪒≮⫘↔1011100011010)⩤=≮⫘↔1100010000000","reverse_text":"≮⫘↔1100010000000=(≤/(≮⫘↔100010110001⩤))⨓(≮⫘↔10000000100⨓≮⫘↔1100001111010)⨪↰⇹(≮⫘↔100111001111⪒≮⫘↔1011100011010)⩤","cot":[{"info":"≮⫘↔100010110001⩤=≮⫘↔-100010110001","layer":3},{"info":"≤/≮⫘↔-100010110001=≮⫘↔101010010101","layer":2},{"info":"≮⫘↔10000000100⨓≮⫘↔1100001111010=≮⫘↔-1100001111101","layer":3},{"info":"≮⫘↔100111001111⪒≮⫘↔1011100011010=≮⫘↔-10000011101001","layer":3},{"info":"≮⫘↔-1100001111101⨪↰⇹≮⫘↔-10000011101001=≮⫘↔1100001111101","layer":2},{"info":"≮⫘↔101010010101⨓≮⫘↔1100001111101=≮⫘↔-1100010000000","layer":1},{"info":"≮⫘↔-1100010000000⩤=≮⫘↔1100010000000","layer":0}]}
{"id":986,"expression_no_base_symbol":"($8286$∼$2991$⋝⋈⪟(⪲⇎$2782$)/($4628$⨳⩥⨓$2239$)⩷∴$1242$⇷$6434$)⨸⪁(($2409$⩨$3063$)↙(↩$3542$)⪒($2690$⨪↰⇹$6730$⩤))","expression":"(≮⫘↔10000001011110∼≮⫘↔101110101111⋝⋈⪟(⪲⇎≮⫘↔101011011110)/(≮⫘↔1001000010100⨳⩥⨓≮⫘↔100010111111)⩷∴≮⫘↔10011011010⇷≮⫘↔1100100100010)⨸⪁((≮⫘↔100101101001⩨≮⫘↔101111110111)↙(↩≮⫘↔110111010110)⪒(≮⫘↔101010000010⨪↰⇹≮⫘↔1101001001010⩤))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20291,"operation_count":14,"complexity_ratio":1449.357142857143,"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":8286,"base":2},"right_expr":{"type":"numeric_atoms","value":2991,"base":2}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2782,"base":2}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4628,"base":2},"right_expr":{"type":"numeric_atoms","value":2239,"base":2}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1242,"base":2},"right_expr":{"type":"numeric_atoms","value":6434,"base":2}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2409,"base":2},"right_expr":{"type":"numeric_atoms","value":3063,"base":2}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3542,"base":2}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2690,"base":2},"right_expr":{"type":"numeric_atoms","value":6730,"base":2}}}}},"used_operators":["g55IO6H4Gj","XhwjNDsVaA","2DDjHMKMc0","DyGG3AbaNP","XPYlsWDdGa","9FxExcQeMw","nCS4ZIUYfx","mp7IySMOzn","f6k1SAg4EE","yyfyN0ffXY","2DlMacCsIx","jLgFTUHLKL","Z2TMIBDE3Q","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=8286","layer":4},{"info":"number node, value=2991","layer":4},{"info":"compute binary expreesion, left_input=8286, right_input=2991, 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=2782","layer":4},{"info":"compute unary expreesion, input=2782, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5564","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5564, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=4628","layer":4},{"info":"number node, value=2239","layer":4},{"info":"compute binary expreesion, left_input=4628, right_input=2239, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2389","layer":3},{"info":"number node, value=1242","layer":4},{"info":"number node, value=6434","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=6434, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12868","layer":3},{"info":"compute binary expreesion, left_input=-2389, right_input=12868, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-30546","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-30546, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2409","layer":4},{"info":"number node, value=3063","layer":4},{"info":"compute binary expreesion, left_input=2409, right_input=3063, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=3542","layer":4},{"info":"compute unary expreesion, input=3542, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-25556","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-25556, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3","layer":2},{"info":"number node, value=2690","layer":4},{"info":"number node, value=6730","layer":4},{"info":"compute binary expreesion, left_input=2690, right_input=6730, 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=2690","layer":3},{"info":"compute unary expreesion, input=2690, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2690","layer":2},{"info":"compute binary expreesion, left_input=-3, right_input=-2690, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=2693","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2693, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔10000001011110∼≮⫘↔101110101111⋝⋈⪟(⪲⇎≮⫘↔101011011110)/(≮⫘↔1001000010100⨳⩥⨓≮⫘↔100010111111)⩷∴≮⫘↔10011011010⇷≮⫘↔1100100100010)⨸⪁((≮⫘↔100101101001⩨≮⫘↔101111110111)↙(↩≮⫘↔110111010110)⪒(≮⫘↔101010000010⨪↰⇹≮⫘↔1101001001010⩤))=NaN","reverse_text":"NaN=(≮⫘↔10000001011110∼≮⫘↔101110101111⋝⋈⪟(⪲⇎≮⫘↔101011011110)/(≮⫘↔1001000010100⨳⩥⨓≮⫘↔100010111111)⩷∴≮⫘↔10011011010⇷≮⫘↔1100100100010)⨸⪁((≮⫘↔100101101001⩨≮⫘↔101111110111)↙(↩≮⫘↔110111010110)⪒(≮⫘↔101010000010⨪↰⇹≮⫘↔1101001001010⩤))","cot":[{"info":"≮⫘↔10000001011110∼≮⫘↔101110101111=NaN","layer":3},{"info":"⪲⇎≮⫘↔101011011110=≮⫘↔1010110111100","layer":3},{"info":"NaN⋝⋈⪟≮⫘↔1010110111100=NaN","layer":2},{"info":"≮⫘↔1001000010100⨳⩥⨓≮⫘↔100010111111=≮⫘↔-100101010101","layer":3},{"info":"≮⫘↔10011011010⇷≮⫘↔1100100100010=≮⫘↔11001001000100","layer":3},{"info":"≮⫘↔-100101010101⩷∴≮⫘↔11001001000100=≮⫘↔-111011101010010","layer":2},{"info":"NaN/≮⫘↔-111011101010010=NaN","layer":1},{"info":"≮⫘↔100101101001⩨≮⫘↔101111110111=≮⫘↔-11","layer":3},{"info":"↩≮⫘↔110111010110=≮⫘↔-110001111010100","layer":3},{"info":"≮⫘↔-11↙≮⫘↔-110001111010100=≮⫘↔-11","layer":2},{"info":"≮⫘↔101010000010⨪↰⇹≮⫘↔1101001001010=≮⫘↔101010000010","layer":3},{"info":"≮⫘↔101010000010⩤=≮⫘↔-101010000010","layer":2},{"info":"≮⫘↔-11⪒≮⫘↔-101010000010=≮⫘↔101010000101","layer":1},{"info":"NaN⨸⪁≮⫘↔101010000101=NaN","layer":0}]}
{"id":987,"expression_no_base_symbol":"(($1149$+$4061$)⋝⋈⪟($3367$≭$8720$))⨟⋌⩍((⫓⪴$1399$)⊉≛↸$1278$⨪↰⇹$1787$)/((($3148$⊘)⨸⪁$4941$≧⫂∧$4691$)⋫)","expression":"((≮⫘↔10001111101+≮⫘↔111111011101)⋝⋈⪟(≮⫘↔110100100111≭≮⫘↔10001000010000))⨟⋌⩍((⫓⪴≮⫘↔10101110111)⊉≛↸≮⫘↔10011111110⨪↰⇹≮⫘↔11011111011)/(((≮⫘↔110001001100⊘)⨸⪁≮⫘↔1001101001101≧⫂∧≮⫘↔1001001010011)⋫)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11145,"operation_count":12,"complexity_ratio":928.75,"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":1149,"base":2},"right_expr":{"type":"numeric_atoms","value":4061,"base":2}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3367,"base":2},"right_expr":{"type":"numeric_atoms","value":8720,"base":2}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1399,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1278,"base":2},"right_expr":{"type":"numeric_atoms","value":1787,"base":2}}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3148,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4941,"base":2},"right_expr":{"type":"numeric_atoms","value":4691,"base":2}}}}},"used_operators":["XhwjNDsVaA","rGHVDoGpnC","2DDjHMKMc0","W4YGzv6Whe","rxpJgHHUmx","DZ8iAZOCBD","eLxqMNBOBk","tmPS8pqC7x","JL8yIekQnl","g55IO6H4Gj","gu96TGCTMs","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rJVOvQCfKK","tmPS8pqC7x","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1149","layer":4},{"info":"number node, value=4061","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=4061, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5210","layer":3},{"info":"number node, value=3367","layer":4},{"info":"number node, value=8720","layer":4},{"info":"compute binary expreesion, left_input=3367, right_input=8720, 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=5210, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1399","layer":4},{"info":"compute unary expreesion, input=1399, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1957201","layer":3},{"info":"number node, value=1278","layer":4},{"info":"number node, value=1787","layer":4},{"info":"compute binary expreesion, left_input=1278, right_input=1787, 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=1278","layer":3},{"info":"compute binary expreesion, left_input=1957201, right_input=1278, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3914402","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3914402, 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=3148","layer":4},{"info":"compute unary expreesion, input=3148, 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=4941","layer":4},{"info":"number node, value=4691","layer":4},{"info":"compute binary expreesion, left_input=4941, right_input=4691, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4218","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4218, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8436","layer":2},{"info":"compute unary expreesion, input=8436, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=8436","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8436, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔10001111101+≮⫘↔111111011101)⋝⋈⪟(≮⫘↔110100100111≭≮⫘↔10001000010000))⨟⋌⩍((⫓⪴≮⫘↔10101110111)⊉≛↸≮⫘↔10011111110⨪↰⇹≮⫘↔11011111011)/(((≮⫘↔110001001100⊘)⨸⪁≮⫘↔1001101001101≧⫂∧≮⫘↔1001001010011)⋫)=NaN","reverse_text":"NaN=((≮⫘↔10001111101+≮⫘↔111111011101)⋝⋈⪟(≮⫘↔110100100111≭≮⫘↔10001000010000))⨟⋌⩍((⫓⪴≮⫘↔10101110111)⊉≛↸≮⫘↔10011111110⨪↰⇹≮⫘↔11011111011)/(((≮⫘↔110001001100⊘)⨸⪁≮⫘↔1001101001101≧⫂∧≮⫘↔1001001010011)⋫)","cot":[{"info":"≮⫘↔10001111101+≮⫘↔111111011101=≮⫘↔1010001011010","layer":3},{"info":"≮⫘↔110100100111≭≮⫘↔10001000010000=NaN","layer":3},{"info":"≮⫘↔1010001011010⋝⋈⪟NaN=NaN","layer":2},{"info":"⫓⪴≮⫘↔10101110111=≮⫘↔111011101110101010001","layer":3},{"info":"≮⫘↔10011111110⨪↰⇹≮⫘↔11011111011=≮⫘↔10011111110","layer":3},{"info":"≮⫘↔111011101110101010001⊉≛↸≮⫘↔10011111110=≮⫘↔1110111011101010100010","layer":2},{"info":"NaN⨟⋌⩍≮⫘↔1110111011101010100010=NaN","layer":1},{"info":"≮⫘↔110001001100⊘=≮⫘↔0","layer":3},{"info":"≮⫘↔1001101001101≧⫂∧≮⫘↔1001001010011=≮⫘↔1000001111010","layer":3},{"info":"≮⫘↔0⨸⪁≮⫘↔1000001111010=≮⫘↔10000011110100","layer":2},{"info":"≮⫘↔10000011110100⋫=≮⫘↔10000011110100","layer":1},{"info":"NaN/≮⫘↔10000011110100=NaN","layer":0}]}
{"id":988,"expression_no_base_symbol":"($5707$⪒$1835$)⪄($2181$-$5487$)⊭↱(-$6473$⩷∴$7849$)⩨(⊙↵-(($6142$⫩⊇)/$6549$≹⇙⪍$1034$))","expression":"(≮⫘↔1011001001011⪒≮⫘↔11100101011)⪄(≮⫘↔100010000101-≮⫘↔1010101101111)⊭↱(-≮⫘↔1100101001001⩷∴≮⫘↔1111010101001)⩨(⊙↵-((≮⫘↔1011111111110⫩⊇)/≮⫘↔1100110010101≹⇙⪍≮⫘↔10000001010))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":144,"operation_count":11,"complexity_ratio":13.090909090909092,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5707,"base":2},"right_expr":{"type":"numeric_atoms","value":1835,"base":2}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2181,"base":2},"right_expr":{"type":"numeric_atoms","value":5487,"base":2}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6473,"base":2},"right_expr":{"type":"numeric_atoms","value":7849,"base":2}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":6142,"base":2}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6549,"base":2},"right_expr":{"type":"numeric_atoms","value":1034,"base":2}}}}},"used_operators":["2DlMacCsIx","COABgblf1C","SUmda5xLS4","f6k1SAg4EE","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","oWn0xqSxBt","XhwjNDsVaA","BjRHVeLaeN","AHs5Up7iyr"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5707","layer":4},{"info":"number node, value=1835","layer":4},{"info":"compute binary expreesion, left_input=5707, right_input=1835, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7542","layer":3},{"info":"number node, value=2181","layer":4},{"info":"number node, value=5487","layer":4},{"info":"compute binary expreesion, left_input=2181, right_input=5487, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3306","layer":3},{"info":"compute binary expreesion, left_input=-7542, right_input=-3306, 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=6473","layer":4},{"info":"number node, value=7849","layer":4},{"info":"compute binary expreesion, left_input=6473, right_input=7849, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2784","layer":3},{"info":"compute unary expreesion, input=-2784, op_id = t8gj7n24qd, unary_op_definition = 'None', output=2784","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=2784, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2385","layer":1},{"info":"number node, value=6142","layer":4},{"info":"compute unary expreesion, input=6142, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-6100","layer":3},{"info":"number node, value=6549","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=6549, right_input=1034, 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=-6100, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2385, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(≮⫘↔1011001001011⪒≮⫘↔11100101011)⪄(≮⫘↔100010000101-≮⫘↔1010101101111)⊭↱(-≮⫘↔1100101001001⩷∴≮⫘↔1111010101001)⩨(⊙↵-((≮⫘↔1011111111110⫩⊇)/≮⫘↔1100110010101≹⇙⪍≮⫘↔10000001010))=NaN","reverse_text":"NaN=(≮⫘↔1011001001011⪒≮⫘↔11100101011)⪄(≮⫘↔100010000101-≮⫘↔1010101101111)⊭↱(-≮⫘↔1100101001001⩷∴≮⫘↔1111010101001)⩨(⊙↵-((≮⫘↔1011111111110⫩⊇)/≮⫘↔1100110010101≹⇙⪍≮⫘↔10000001010))","cot":[{"info":"≮⫘↔1011001001011⪒≮⫘↔11100101011=≮⫘↔-1110101110110","layer":3},{"info":"≮⫘↔100010000101-≮⫘↔1010101101111=≮⫘↔-110011101010","layer":3},{"info":"≮⫘↔-1110101110110⪄≮⫘↔-110011101010=≮⫘↔111110001011","layer":2},{"info":"≮⫘↔1100101001001⩷∴≮⫘↔1111010101001=≮⫘↔-101011100000","layer":3},{"info":"-≮⫘↔-101011100000=≮⫘↔101011100000","layer":2},{"info":"≮⫘↔111110001011⊭↱≮⫘↔101011100000=≮⫘↔-100101010001","layer":1},{"info":"≮⫘↔1011111111110⫩⊇=≮⫘↔-1011111010100","layer":3},{"info":"≮⫘↔1100110010101≹⇙⪍≮⫘↔10000001010=NaN","layer":3},{"info":"≮⫘↔-1011111010100/NaN=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"≮⫘↔-100101010001⩨NaN=NaN","layer":0}]}
{"id":989,"expression_no_base_symbol":"(($1349$⇼⇔∾$1107$↛⩡⫤)↛⩡⫤)⫸⊐($6186$%$2086$)⩚⊴⇥$2666$⪛$1805$≎⊠⪸($1770$⫥∨⫟$3466$↺$6054$≎⊠⪸$1749$)","expression":"((≮⫘↔10101000101⇼⇔∾≮⫘↔10001010011↛⩡⫤)↛⩡⫤)⫸⊐(≮⫘↔1100000101010%≮⫘↔100000100110)⩚⊴⇥≮⫘↔101001101010⪛≮⫘↔11100001101≎⊠⪸(≮⫘↔11011101010⫥∨⫟≮⫘↔110110001010↺≮⫘↔1011110100110≎⊠⪸≮⫘↔11011010101)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12915,"operation_count":11,"complexity_ratio":1174.090909090909,"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":1349,"base":2},"right_expr":{"type":"numeric_atoms","value":1107,"base":2}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6186,"base":2},"right_expr":{"type":"numeric_atoms","value":2086,"base":2}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2666,"base":2},"right_expr":{"type":"numeric_atoms","value":1805,"base":2}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1770,"base":2},"right_expr":{"type":"numeric_atoms","value":3466,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6054,"base":2},"right_expr":{"type":"numeric_atoms","value":1749,"base":2}}}}},"used_operators":["mqXw5SEYmG","FU0Cs4j7VP","tifHPKVTfV","bJkvcejdHO","NTOWxs364D","k8jYdgA6NY","uFcxV4UQCh","7j4O788W3g","KYD54nUTWz"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"≮⫘↔1111001000","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1349","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=1107, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-242","layer":3},{"info":"compute unary expreesion, input=-242, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=3737","layer":2},{"info":"compute unary expreesion, input=3737, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-560376","layer":1},{"info":"number node, value=6186","layer":4},{"info":"number node, value=2086","layer":4},{"info":"compute binary expreesion, left_input=6186, right_input=2086, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2014","layer":3},{"info":"number node, value=2666","layer":4},{"info":"number node, value=1805","layer":4},{"info":"compute binary expreesion, left_input=2666, right_input=1805, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=861","layer":3},{"info":"compute binary expreesion, left_input=2014, right_input=861, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2996","layer":2},{"info":"number node, value=1770","layer":4},{"info":"number node, value=3466","layer":4},{"info":"compute binary expreesion, left_input=1770, right_input=3466, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6054","layer":4},{"info":"number node, value=1749","layer":4},{"info":"compute binary expreesion, left_input=6054, right_input=1749, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1567513","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1567513, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1567513","layer":2},{"info":"compute binary expreesion, left_input=-2996, right_input=1567513, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=775964","layer":1},{"info":"compute binary expreesion, left_input=-560376, right_input=775964, 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":0}],"base":2,"result_base":2,"text":"((≮⫘↔10101000101⇼⇔∾≮⫘↔10001010011↛⩡⫤)↛⩡⫤)⫸⊐(≮⫘↔1100000101010%≮⫘↔100000100110)⩚⊴⇥≮⫘↔101001101010⪛≮⫘↔11100001101≎⊠⪸(≮⫘↔11011101010⫥∨⫟≮⫘↔110110001010↺≮⫘↔1011110100110≎⊠⪸≮⫘↔11011010101)=≮⫘↔1111001000","reverse_text":"≮⫘↔1111001000=((≮⫘↔10101000101⇼⇔∾≮⫘↔10001010011↛⩡⫤)↛⩡⫤)⫸⊐(≮⫘↔1100000101010%≮⫘↔100000100110)⩚⊴⇥≮⫘↔101001101010⪛≮⫘↔11100001101≎⊠⪸(≮⫘↔11011101010⫥∨⫟≮⫘↔110110001010↺≮⫘↔1011110100110≎⊠⪸≮⫘↔11011010101)","cot":[{"info":"≮⫘↔10101000101⇼⇔∾≮⫘↔10001010011=≮⫘↔-11110010","layer":3},{"info":"≮⫘↔-11110010↛⩡⫤=≮⫘↔111010011001","layer":2},{"info":"≮⫘↔111010011001↛⩡⫤=≮⫘↔-10001000110011111000","layer":1},{"info":"≮⫘↔1100000101010%≮⫘↔100000100110=≮⫘↔11111011110","layer":3},{"info":"≮⫘↔101001101010⪛≮⫘↔11100001101=≮⫘↔1101011101","layer":3},{"info":"≮⫘↔11111011110⩚⊴⇥≮⫘↔1101011101=≮⫘↔-101110110100","layer":2},{"info":"≮⫘↔11011101010⫥∨⫟≮⫘↔110110001010=NaN","layer":3},{"info":"≮⫘↔1011110100110≎⊠⪸≮⫘↔11011010101=≮⫘↔101111110101100011001","layer":3},{"info":"NaN↺≮⫘↔101111110101100011001=≮⫘↔101111110101100011001","layer":2},{"info":"≮⫘↔-101110110100≎⊠⪸≮⫘↔101111110101100011001=≮⫘↔10111101011100011100","layer":1},{"info":"≮⫘↔-10001000110011111000⫸⊐≮⫘↔10111101011100011100=≮⫘↔1111001000","layer":0}]}
{"id":990,"expression_no_base_symbol":"(⋗⩬⋾($6211$⨸⪁$1802$)⨐⩸⫘(↣≠⋷$1061$))⫸⊐(⪲⇎(↥$2256$))⨰($1962$+⇶⊼$4239$⪨≂$2738$≧⫂∧$6979$)","expression":"(⋗⩬⋾(≮⫘↔1100001000011⨸⪁≮⫘↔11100001010)⨐⩸⫘(↣≠⋷≮⫘↔10000100101))⫸⊐(⪲⇎(↥≮⫘↔100011010000))⨰(≮⫘↔11110101010+⇶⊼≮⫘↔1000010001111⪨≂≮⫘↔101010110010≧⫂∧≮⫘↔1101101000011)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":73,"operation_count":11,"complexity_ratio":6.636363636363637,"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":6211,"base":2},"right_expr":{"type":"numeric_atoms","value":1802,"base":2}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1061,"base":2}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2256,"base":2}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1962,"base":2},"right_expr":{"type":"numeric_atoms","value":4239,"base":2}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2738,"base":2},"right_expr":{"type":"numeric_atoms","value":6979,"base":2}}}}},"used_operators":["mqXw5SEYmG","DpFCA1CohY","fu6greOZ01","g55IO6H4Gj","Asc51vEJeQ","eewbuw0ToL","XPYlsWDdGa","A8NUZmVepG","sdazOOVcIp","TpPTUOHfaN","Ph9nP6C5qx"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6211","layer":4},{"info":"number node, value=1802","layer":4},{"info":"compute binary expreesion, left_input=6211, right_input=1802, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16026","layer":3},{"info":"number node, value=1061","layer":4},{"info":"compute unary expreesion, input=1061, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=16026, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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=2256","layer":4},{"info":"compute unary expreesion, input=2256, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=12","layer":3},{"info":"compute unary expreesion, input=12, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=24","layer":2},{"info":"number node, value=1962","layer":4},{"info":"number node, value=4239","layer":4},{"info":"compute binary expreesion, left_input=1962, right_input=4239, 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=2738","layer":4},{"info":"number node, value=6979","layer":4},{"info":"compute binary expreesion, left_input=2738, right_input=6979, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6506","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6506, 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":"compute binary expreesion, left_input=24, 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=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(⋗⩬⋾(≮⫘↔1100001000011⨸⪁≮⫘↔11100001010)⨐⩸⫘(↣≠⋷≮⫘↔10000100101))⫸⊐(⪲⇎(↥≮⫘↔100011010000))⨰(≮⫘↔11110101010+⇶⊼≮⫘↔1000010001111⪨≂≮⫘↔101010110010≧⫂∧≮⫘↔1101101000011)=NaN","reverse_text":"NaN=(⋗⩬⋾(≮⫘↔1100001000011⨸⪁≮⫘↔11100001010)⨐⩸⫘(↣≠⋷≮⫘↔10000100101))⫸⊐(⪲⇎(↥≮⫘↔100011010000))⨰(≮⫘↔11110101010+⇶⊼≮⫘↔1000010001111⪨≂≮⫘↔101010110010≧⫂∧≮⫘↔1101101000011)","cot":[{"info":"≮⫘↔1100001000011⨸⪁≮⫘↔11100001010=≮⫘↔11111010011010","layer":3},{"info":"↣≠⋷≮⫘↔10000100101=NaN","layer":3},{"info":"≮⫘↔11111010011010⨐⩸⫘NaN=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"↥≮⫘↔100011010000=≮⫘↔1100","layer":3},{"info":"⪲⇎≮⫘↔1100=≮⫘↔11000","layer":2},{"info":"≮⫘↔11110101010+⇶⊼≮⫘↔1000010001111=NaN","layer":3},{"info":"≮⫘↔101010110010≧⫂∧≮⫘↔1101101000011=≮⫘↔1100101101010","layer":3},{"info":"NaN⪨≂≮⫘↔1100101101010=NaN","layer":2},{"info":"≮⫘↔11000⨰NaN=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":991,"expression_no_base_symbol":"(↔(($6572$⩠)⨪↰⇹(⇁⨣⪵$5793$)))⇷(($3520$⇼⇔∾$8416$)⩷∴($4608$⨽$1993$))⨪↰⇹(∂$4292$∀⇚≩$3705$)","expression":"(↔((≮⫘↔1100110101100⩠)⨪↰⇹(⇁⨣⪵≮⫘↔1011010100001)))⇷((≮⫘↔110111000000⇼⇔∾≮⫘↔10000011100000)⩷∴(≮⫘↔1001000000000⨽≮⫘↔11111001001))⨪↰⇹(∂≮⫘↔1000011000100∀⇚≩≮⫘↔111001111001)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":45753,"operation_count":11,"complexity_ratio":4159.363636363636,"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":6572,"base":2}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5793,"base":2}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3520,"base":2},"right_expr":{"type":"numeric_atoms","value":8416,"base":2}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4608,"base":2},"right_expr":{"type":"numeric_atoms","value":1993,"base":2}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4292,"base":2},"right_expr":{"type":"numeric_atoms","value":3705,"base":2}}}}},"used_operators":["mp7IySMOzn","ruOEQAzv1W","tmPS8pqC7x","sJAwomhLZr","inkyxCbjAn","9FxExcQeMw","tifHPKVTfV","8HhzD0ZcuI","Uaa54Peajs","LRNGc0VcxI"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","B5M0gjZbta","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=6572","layer":4},{"info":"compute unary expreesion, input=6572, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=5793","layer":4},{"info":"compute unary expreesion, input=5793, 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 = 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 unary expreesion, input=0, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=789","layer":1},{"info":"number node, value=3520","layer":4},{"info":"number node, value=8416","layer":4},{"info":"compute binary expreesion, left_input=3520, right_input=8416, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4896","layer":3},{"info":"number node, value=4608","layer":4},{"info":"number node, value=1993","layer":4},{"info":"compute binary expreesion, left_input=4608, right_input=1993, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-63705657","layer":3},{"info":"compute binary expreesion, left_input=4896, right_input=-63705657, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=127421074","layer":2},{"info":"number node, value=4292","layer":4},{"info":"number node, value=3705","layer":4},{"info":"compute binary expreesion, left_input=4292, right_input=3705, 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 = 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=127421074, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=789, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"(↔((≮⫘↔1100110101100⩠)⨪↰⇹(⇁⨣⪵≮⫘↔1011010100001)))⇷((≮⫘↔110111000000⇼⇔∾≮⫘↔10000011100000)⩷∴(≮⫘↔1001000000000⨽≮⫘↔11111001001))⨪↰⇹(∂≮⫘↔1000011000100∀⇚≩≮⫘↔111001111001)=NaN","reverse_text":"NaN=(↔((≮⫘↔1100110101100⩠)⨪↰⇹(⇁⨣⪵≮⫘↔1011010100001)))⇷((≮⫘↔110111000000⇼⇔∾≮⫘↔10000011100000)⩷∴(≮⫘↔1001000000000⨽≮⫘↔11111001001))⨪↰⇹(∂≮⫘↔1000011000100∀⇚≩≮⫘↔111001111001)","cot":[{"info":"≮⫘↔1100110101100⩠=≮⫘↔0","layer":3},{"info":"⇁⨣⪵≮⫘↔1011010100001=NaN","layer":3},{"info":"≮⫘↔0⨪↰⇹NaN=≮⫘↔0","layer":2},{"info":"↔≮⫘↔0=≮⫘↔1100010101","layer":1},{"info":"≮⫘↔110111000000⇼⇔∾≮⫘↔10000011100000=≮⫘↔1001100100000","layer":3},{"info":"≮⫘↔1001000000000⨽≮⫘↔11111001001=≮⫘↔-11110011000001001000111001","layer":3},{"info":"≮⫘↔1001100100000⩷∴≮⫘↔-11110011000001001000111001=≮⫘↔111100110000100101010010010","layer":2},{"info":"≮⫘↔1000011000100∀⇚≩≮⫘↔111001111001=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"≮⫘↔111100110000100101010010010⨪↰⇹NaN=NaN","layer":1},{"info":"≮⫘↔1100010101⇷NaN=NaN","layer":0}]}
{"id":992,"expression_no_base_symbol":"((⪝⪂⫅($5397$⨳⩥⨓$1274$))⨓((⨑⩽⪐$5887$)⋳⪒($6231$⪄$5032$)))⊴($3101$∼$4653$≧⫂∧($4294$≎⊠⪸$1354$)∲⫓($2570$⫥∨⫟$2228$)⨓($8974$⩚⊴⇥$8155$))","expression":"((⪝⪂⫅(≮⫘↔1010100010101⨳⩥⨓≮⫘↔10011111010))⨓((⨑⩽⪐≮⫘↔1011011111111)⋳⪒(≮⫘↔1100001010111⪄≮⫘↔1001110101000)))⊴(≮⫘↔110000011101∼≮⫘↔1001000101101≧⫂∧(≮⫘↔1000011000110≎⊠⪸≮⫘↔10101001010)∲⫓(≮⫘↔101000001010⫥∨⫟≮⫘↔100010110100)⨓(≮⫘↔10001100001110⩚⊴⇥≮⫘↔1111111011011))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":944910,"operation_count":14,"complexity_ratio":67493.57142857143,"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":5397,"base":2},"right_expr":{"type":"numeric_atoms","value":1274,"base":2}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5887,"base":2}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6231,"base":2},"right_expr":{"type":"numeric_atoms","value":5032,"base":2}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3101,"base":2},"right_expr":{"type":"numeric_atoms","value":4653,"base":2}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4294,"base":2},"right_expr":{"type":"numeric_atoms","value":1354,"base":2}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2570,"base":2},"right_expr":{"type":"numeric_atoms","value":2228,"base":2}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":8974,"base":2},"right_expr":{"type":"numeric_atoms","value":8155,"base":2}}}}},"used_operators":["Nsiff2A1zJ","3ViojmjbAp","XTarYq4gQB","nCS4ZIUYfx","12rbrZMWeM","AF7qkfDlqP","SUmda5xLS4","i8ToyICDmI","Ph9nP6C5qx","DyGG3AbaNP","bJkvcejdHO","KYD54nUTWz","NTOWxs364D"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"≮⫘↔-1001111","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5397","layer":4},{"info":"number node, value=1274","layer":4},{"info":"compute binary expreesion, left_input=5397, right_input=1274, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4123","layer":3},{"info":"compute unary expreesion, input=-4123, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=606081","layer":2},{"info":"number node, value=5887","layer":4},{"info":"compute unary expreesion, input=5887, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5614","layer":3},{"info":"number node, value=6231","layer":4},{"info":"number node, value=5032","layer":4},{"info":"compute binary expreesion, left_input=6231, right_input=5032, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-938405","layer":3},{"info":"compute binary expreesion, left_input=-5614, right_input=-938405, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=926890","layer":2},{"info":"compute binary expreesion, left_input=606081, right_input=926890, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-926893","layer":1},{"info":"number node, value=3101","layer":4},{"info":"number node, value=4653","layer":4},{"info":"compute binary expreesion, left_input=3101, right_input=4653, 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=4294","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=4294, right_input=1354, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1111673","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1111673, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1111200","layer":2},{"info":"number node, value=2570","layer":4},{"info":"number node, value=2228","layer":4},{"info":"compute binary expreesion, left_input=2570, right_input=2228, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=8974","layer":4},{"info":"number node, value=8155","layer":4},{"info":"compute binary expreesion, left_input=8974, right_input=8155, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-17250","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-17250, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=17247","layer":2},{"info":"compute binary expreesion, left_input=1111200, right_input=17247, 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=-926893, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":2,"result_base":2,"text":"((⪝⪂⫅(≮⫘↔1010100010101⨳⩥⨓≮⫘↔10011111010))⨓((⨑⩽⪐≮⫘↔1011011111111)⋳⪒(≮⫘↔1100001010111⪄≮⫘↔1001110101000)))⊴(≮⫘↔110000011101∼≮⫘↔1001000101101≧⫂∧(≮⫘↔1000011000110≎⊠⪸≮⫘↔10101001010)∲⫓(≮⫘↔101000001010⫥∨⫟≮⫘↔100010110100)⨓(≮⫘↔10001100001110⩚⊴⇥≮⫘↔1111111011011))=≮⫘↔-1001111","reverse_text":"≮⫘↔-1001111=((⪝⪂⫅(≮⫘↔1010100010101⨳⩥⨓≮⫘↔10011111010))⨓((⨑⩽⪐≮⫘↔1011011111111)⋳⪒(≮⫘↔1100001010111⪄≮⫘↔1001110101000)))⊴(≮⫘↔110000011101∼≮⫘↔1001000101101≧⫂∧(≮⫘↔1000011000110≎⊠⪸≮⫘↔10101001010)∲⫓(≮⫘↔101000001010⫥∨⫟≮⫘↔100010110100)⨓(≮⫘↔10001100001110⩚⊴⇥≮⫘↔1111111011011))","cot":[{"info":"≮⫘↔1010100010101⨳⩥⨓≮⫘↔10011111010=≮⫘↔-1000000011011","layer":3},{"info":"⪝⪂⫅≮⫘↔-1000000011011=≮⫘↔10010011111110000001","layer":2},{"info":"⨑⩽⪐≮⫘↔1011011111111=≮⫘↔-1010111101110","layer":3},{"info":"≮⫘↔1100001010111⪄≮⫘↔1001110101000=≮⫘↔-11100101000110100101","layer":3},{"info":"≮⫘↔-1010111101110⋳⪒≮⫘↔-11100101000110100101=≮⫘↔11100010010010101010","layer":2},{"info":"≮⫘↔10010011111110000001⨓≮⫘↔11100010010010101010=≮⫘↔-11100010010010101101","layer":1},{"info":"≮⫘↔110000011101∼≮⫘↔1001000101101=NaN","layer":3},{"info":"≮⫘↔1000011000110≎⊠⪸≮⫘↔10101001010=≮⫘↔100001111011001111001","layer":3},{"info":"NaN≧⫂∧≮⫘↔100001111011001111001=≮⫘↔100001111010010100000","layer":2},{"info":"≮⫘↔101000001010⫥∨⫟≮⫘↔100010110100=NaN","layer":3},{"info":"≮⫘↔10001100001110⩚⊴⇥≮⫘↔1111111011011=≮⫘↔-100001101100010","layer":3},{"info":"NaN⨓≮⫘↔-100001101100010=≮⫘↔100001101011111","layer":2},{"info":"≮⫘↔100001111010010100000∲⫓≮⫘↔100001101011111=≮⫘↔0","layer":1},{"info":"≮⫘↔-11100010010010101101⊴≮⫘↔0=≮⫘↔-1001111","layer":0}]}
{"id":993,"expression_no_base_symbol":"(↔(($7590$⩨$1168$)↺(⊄⩳↩$2717$)))⪐","expression":"(↔((≮⫘↔1110110100110⩨≮⫘↔10010010000)↺(⊄⩳↩≮⫘↔101010011101)))⪐","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":33,"operation_count":5,"complexity_ratio":6.6,"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":7590,"base":2},"right_expr":{"type":"numeric_atoms","value":1168,"base":2}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2717,"base":2}}}}},"used_operators":["eH2TOUuTDT","ruOEQAzv1W","7j4O788W3g","2DlMacCsIx","8w2t5hMYqp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-100001100","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=7590","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=7590, right_input=1168, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2717","layer":4},{"info":"compute unary expreesion, input=2717, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-8151","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-8151, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-8151","layer":2},{"info":"compute unary expreesion, input=-8151, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-268","layer":0}],"base":2,"result_base":2,"text":"(↔((≮⫘↔1110110100110⩨≮⫘↔10010010000)↺(⊄⩳↩≮⫘↔101010011101)))⪐=≮⫘↔-100001100","reverse_text":"≮⫘↔-100001100=(↔((≮⫘↔1110110100110⩨≮⫘↔10010010000)↺(⊄⩳↩≮⫘↔101010011101)))⪐","cot":[{"info":"≮⫘↔1110110100110⩨≮⫘↔10010010000=≮⫘↔0","layer":3},{"info":"⊄⩳↩≮⫘↔101010011101=≮⫘↔-1111111010111","layer":3},{"info":"≮⫘↔0↺≮⫘↔-1111111010111=≮⫘↔-1111111010111","layer":2},{"info":"↔≮⫘↔-1111111010111=≮⫘↔-10000110","layer":1},{"info":"≮⫘↔-10000110⪐=≮⫘↔-100001100","layer":0}]}
{"id":994,"expression_no_base_symbol":"⨞⊢($1009$⨎$1117$↛⩡⫤)⇷(($1893$+$5653$)≣⋋)","expression":"⨞⊢(≮⫘↔1111110001⨎≮⫘↔10001011101↛⩡⫤)⇷((≮⫘↔11101100101+≮⫘↔1011000010101)≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2310593,"operation_count":6,"complexity_ratio":385098.8333333333,"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":1009,"base":2},"right_expr":{"type":"numeric_atoms","value":1117,"base":2}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1893,"base":2},"right_expr":{"type":"numeric_atoms","value":5653,"base":2}}}}},"used_operators":["xUOZtlo3hN","mp7IySMOzn","FU0Cs4j7VP","rJVOvQCfKK","Tcnh7f0tEr","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"≮⫘↔-10101110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1009","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=1117, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1117","layer":3},{"info":"compute unary expreesion, input=1117, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-164756","layer":2},{"info":"number node, value=1893","layer":4},{"info":"number node, value=5653","layer":4},{"info":"compute binary expreesion, left_input=1893, right_input=5653, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7546","layer":3},{"info":"compute unary expreesion, input=7546, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-164756, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":0}],"base":2,"result_base":2,"text":"⨞⊢(≮⫘↔1111110001⨎≮⫘↔10001011101↛⩡⫤)⇷((≮⫘↔11101100101+≮⫘↔1011000010101)≣⋋)=≮⫘↔-10101110","reverse_text":"≮⫘↔-10101110=⨞⊢(≮⫘↔1111110001⨎≮⫘↔10001011101↛⩡⫤)⇷((≮⫘↔11101100101+≮⫘↔1011000010101)≣⋋)","cot":[{"info":"≮⫘↔1111110001⨎≮⫘↔10001011101=≮⫘↔10001011101","layer":3},{"info":"≮⫘↔10001011101↛⩡⫤=≮⫘↔-101000001110010100","layer":2},{"info":"≮⫘↔11101100101+≮⫘↔1011000010101=≮⫘↔1110101111010","layer":3},{"info":"≮⫘↔1110101111010≣⋋=≮⫘↔0","layer":2},{"info":"≮⫘↔-101000001110010100⇷≮⫘↔0=≮⫘↔0","layer":1},{"info":"⨞⊢≮⫘↔0=≮⫘↔-10101110","layer":0}]}
{"id":995,"expression_no_base_symbol":"(⨰⫟⨤$5330$≹⇙⪍$4478$)∑⇟⊟(($2938$≣⋋)⫥∨⫟$6804$⊴$1796$)⪄($1592$⨸⪁$3391$⨵⪆($5667$⨁⊸⫻)⨵⪆($2706$⇷$2223$)∀⇚≩$4431$⨪↰⇹$3307$)","expression":"(⨰⫟⨤≮⫘↔1010011010010≹⇙⪍≮⫘↔1000101111110)∑⇟⊟((≮⫘↔101101111010≣⋋)⫥∨⫟≮⫘↔1101010010100⊴≮⫘↔11100000100)⪄(≮⫘↔11000111000⨸⪁≮⫘↔110100111111⨵⪆(≮⫘↔1011000100011⨁⊸⫻)⨵⪆(≮⫘↔101010010010⇷≮⫘↔100010101111)∀⇚≩≮⫘↔1000101001111⨪↰⇹≮⫘↔110011101011)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":76256,"operation_count":14,"complexity_ratio":5446.857142857143,"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":5330,"base":2},"right_expr":{"type":"numeric_atoms","value":4478,"base":2}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2938,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6804,"base":2},"right_expr":{"type":"numeric_atoms","value":1796,"base":2}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1592,"base":2},"right_expr":{"type":"numeric_atoms","value":3391,"base":2}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":5667,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2706,"base":2},"right_expr":{"type":"numeric_atoms","value":2223,"base":2}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4431,"base":2},"right_expr":{"type":"numeric_atoms","value":3307,"base":2}}}}},"used_operators":["SUmda5xLS4","U7g4x0WXJJ","Tw270M8GLb","AHs5Up7iyr","KYD54nUTWz","Tcnh7f0tEr","Nsiff2A1zJ","2DQ55sFlQl","g55IO6H4Gj","glklzrTFfD","LRNGc0VcxI","mp7IySMOzn","tmPS8pqC7x"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rJVOvQCfKK"],"result":"≮⫘↔111110001011","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=5330","layer":4},{"info":"number node, value=4478","layer":4},{"info":"compute binary expreesion, left_input=5330, right_input=4478, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=2938","layer":4},{"info":"compute unary expreesion, input=2938, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"number node, value=6804","layer":4},{"info":"number node, value=1796","layer":4},{"info":"compute binary expreesion, left_input=6804, right_input=1796, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1592","layer":4},{"info":"number node, value=3391","layer":4},{"info":"compute binary expreesion, left_input=1592, right_input=3391, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9966","layer":3},{"info":"number node, value=5667","layer":4},{"info":"compute unary expreesion, input=5667, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5667","layer":3},{"info":"compute binary expreesion, left_input=9966, right_input=5667, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2706","layer":4},{"info":"number node, value=2223","layer":4},{"info":"compute binary expreesion, left_input=2706, right_input=2223, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4446","layer":3},{"info":"number node, value=4431","layer":4},{"info":"number node, value=3307","layer":4},{"info":"compute binary expreesion, left_input=4431, right_input=3307, 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=4431","layer":3},{"info":"compute binary expreesion, left_input=4446, right_input=4431, 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=160, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":2,"result_base":2,"text":"(⨰⫟⨤≮⫘↔1010011010010≹⇙⪍≮⫘↔1000101111110)∑⇟⊟((≮⫘↔101101111010≣⋋)⫥∨⫟≮⫘↔1101010010100⊴≮⫘↔11100000100)⪄(≮⫘↔11000111000⨸⪁≮⫘↔110100111111⨵⪆(≮⫘↔1011000100011⨁⊸⫻)⨵⪆(≮⫘↔101010010010⇷≮⫘↔100010101111)∀⇚≩≮⫘↔1000101001111⨪↰⇹≮⫘↔110011101011)=≮⫘↔111110001011","reverse_text":"≮⫘↔111110001011=(⨰⫟⨤≮⫘↔1010011010010≹⇙⪍≮⫘↔1000101111110)∑⇟⊟((≮⫘↔101101111010≣⋋)⫥∨⫟≮⫘↔1101010010100⊴≮⫘↔11100000100)⪄(≮⫘↔11000111000⨸⪁≮⫘↔110100111111⨵⪆(≮⫘↔1011000100011⨁⊸⫻)⨵⪆(≮⫘↔101010010010⇷≮⫘↔100010101111)∀⇚≩≮⫘↔1000101001111⨪↰⇹≮⫘↔110011101011)","cot":[{"info":"≮⫘↔1010011010010≹⇙⪍≮⫘↔1000101111110=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"≮⫘↔101101111010≣⋋=≮⫘↔0","layer":3},{"info":"≮⫘↔1101010010100⊴≮⫘↔11100000100=NaN","layer":3},{"info":"≮⫘↔0⫥∨⫟NaN=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"≮⫘↔11000111000⨸⪁≮⫘↔110100111111=≮⫘↔10011011101110","layer":3},{"info":"≮⫘↔1011000100011⨁⊸⫻=≮⫘↔1011000100011","layer":3},{"info":"≮⫘↔10011011101110⨵⪆≮⫘↔1011000100011=≮⫘↔10100000","layer":2},{"info":"≮⫘↔101010010010⇷≮⫘↔100010101111=≮⫘↔1000101011110","layer":3},{"info":"≮⫘↔1000101001111⨪↰⇹≮⫘↔110011101011=≮⫘↔1000101001111","layer":3},{"info":"≮⫘↔1000101011110∀⇚≩≮⫘↔1000101001111=NaN","layer":2},{"info":"≮⫘↔10100000⨵⪆NaN=≮⫘↔10100000","layer":1},{"info":"NaN⪄≮⫘↔10100000=≮⫘↔111110001011","layer":0}]}
{"id":996,"expression_no_base_symbol":"((↯⪼($1126$⨎$9546$))⪛($1584$⪛$3256$*$1952$⊴$2721$))⨟⋌⩍(($1679$⊭↱$5455$)⋝⋈⪟($4367$⨐⩸⫘$2425$)+($2780$⪮%⊝$1077$⫩⊇))","expression":"((↯⪼(≮⫘↔10001100110⨎≮⫘↔10010101001010))⪛(≮⫘↔11000110000⪛≮⫘↔110010111000*≮⫘↔11110100000⊴≮⫘↔101010100001))⨟⋌⩍((≮⫘↔11010001111⊭↱≮⫘↔1010101001111)⋝⋈⪟(≮⫘↔1000100001111⨐⩸⫘≮⫘↔100101111001)+(≮⫘↔101011011100⪮%⊝≮⫘↔10000110101⫩⊇))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2791,"operation_count":13,"complexity_ratio":214.69230769230768,"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":1126,"base":2},"right_expr":{"type":"numeric_atoms","value":9546,"base":2}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1584,"base":2},"right_expr":{"type":"numeric_atoms","value":3256,"base":2}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1952,"base":2},"right_expr":{"type":"numeric_atoms","value":2721,"base":2}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1679,"base":2},"right_expr":{"type":"numeric_atoms","value":5455,"base":2}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4367,"base":2},"right_expr":{"type":"numeric_atoms","value":2425,"base":2}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2780,"base":2},"right_expr":{"type":"numeric_atoms","value":1077,"base":2}}}}},"used_operators":["rGHVDoGpnC","uFcxV4UQCh","8jW3W4yZS5","rJVOvQCfKK","9HNa5Wba9A","Nsiff2A1zJ","W4YGzv6Whe","2DDjHMKMc0","COABgblf1C","fu6greOZ01","BjRHVeLaeN","IWmyXbctLI"],"dependent_operators":["Tcnh7f0tEr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1126","layer":4},{"info":"number node, value=9546","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=9546, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=9546","layer":3},{"info":"compute unary expreesion, input=9546, 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=1584","layer":4},{"info":"number node, value=3256","layer":4},{"info":"compute binary expreesion, left_input=1584, right_input=3256, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1584","layer":3},{"info":"number node, value=1952","layer":4},{"info":"number node, value=2721","layer":4},{"info":"compute binary expreesion, left_input=1952, right_input=2721, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1584, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1679","layer":4},{"info":"number node, value=5455","layer":4},{"info":"compute binary expreesion, left_input=1679, right_input=5455, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7557","layer":3},{"info":"number node, value=4367","layer":4},{"info":"number node, value=2425","layer":4},{"info":"compute binary expreesion, left_input=4367, right_input=2425, 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=7557, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=2780","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=2780, right_input=1077, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5876","layer":3},{"info":"compute unary expreesion, input=5876, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5834","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5834, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":2,"result_base":2,"text":"((↯⪼(≮⫘↔10001100110⨎≮⫘↔10010101001010))⪛(≮⫘↔11000110000⪛≮⫘↔110010111000*≮⫘↔11110100000⊴≮⫘↔101010100001))⨟⋌⩍((≮⫘↔11010001111⊭↱≮⫘↔1010101001111)⋝⋈⪟(≮⫘↔1000100001111⨐⩸⫘≮⫘↔100101111001)+(≮⫘↔101011011100⪮%⊝≮⫘↔10000110101⫩⊇))=NaN","reverse_text":"NaN=((↯⪼(≮⫘↔10001100110⨎≮⫘↔10010101001010))⪛(≮⫘↔11000110000⪛≮⫘↔110010111000*≮⫘↔11110100000⊴≮⫘↔101010100001))⨟⋌⩍((≮⫘↔11010001111⊭↱≮⫘↔1010101001111)⋝⋈⪟(≮⫘↔1000100001111⨐⩸⫘≮⫘↔100101111001)+(≮⫘↔101011011100⪮%⊝≮⫘↔10000110101⫩⊇))","cot":[{"info":"≮⫘↔10001100110⨎≮⫘↔10010101001010=≮⫘↔10010101001010","layer":3},{"info":"↯⪼≮⫘↔10010101001010=≮⫘↔-10101","layer":2},{"info":"≮⫘↔11000110000⪛≮⫘↔110010111000=≮⫘↔11000110000","layer":3},{"info":"≮⫘↔11110100000⊴≮⫘↔101010100001=NaN","layer":3},{"info":"≮⫘↔11000110000*NaN=NaN","layer":2},{"info":"≮⫘↔-10101⪛NaN=NaN","layer":1},{"info":"≮⫘↔11010001111⊭↱≮⫘↔1010101001111=≮⫘↔1110110000101","layer":3},{"info":"≮⫘↔1000100001111⨐⩸⫘≮⫘↔100101111001=NaN","layer":3},{"info":"≮⫘↔1110110000101⋝⋈⪟NaN=NaN","layer":2},{"info":"≮⫘↔101011011100⪮%⊝≮⫘↔10000110101=≮⫘↔1011011110100","layer":3},{"info":"≮⫘↔1011011110100⫩⊇=≮⫘↔-1011011001010","layer":2},{"info":"NaN+≮⫘↔-1011011001010=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":997,"expression_no_base_symbol":"(($3153$⪄$4184$)∀⇚≩(⫛⫱⨽$1821$)⨓($4401$⨪↰⇹$1765$)⪛($1564$⇋≉))⇷(⪲⇎($4102$⨳⩥⨓$1875$)≹⇙⪍($1424$⨰$1135$))","expression":"((≮⫘↔110001010001⪄≮⫘↔1000001011000)∀⇚≩(⫛⫱⨽≮⫘↔11100011101)⨓(≮⫘↔1000100110001⨪↰⇹≮⫘↔11011100101)⪛(≮⫘↔11000011100⇋≉))⇷(⪲⇎(≮⫘↔1000000000110⨳⩥⨓≮⫘↔11101010011)≹⇙⪍(≮⫘↔10110010000⨰≮⫘↔10001101111))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3477379,"operation_count":12,"complexity_ratio":289781.5833333333,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3153,"base":2},"right_expr":{"type":"numeric_atoms","value":4184,"base":2}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1821,"base":2}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4401,"base":2},"right_expr":{"type":"numeric_atoms","value":1765,"base":2}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1564,"base":2}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4102,"base":2},"right_expr":{"type":"numeric_atoms","value":1875,"base":2}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1424,"base":2},"right_expr":{"type":"numeric_atoms","value":1135,"base":2}}}}},"used_operators":["mp7IySMOzn","3ViojmjbAp","LRNGc0VcxI","SUmda5xLS4","DlLNRPXxWL","uFcxV4UQCh","tmPS8pqC7x","XIabStNQrY","XPYlsWDdGa","AHs5Up7iyr","nCS4ZIUYfx","eewbuw0ToL"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","X99M06cbEe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=3153","layer":4},{"info":"number node, value=4184","layer":4},{"info":"compute binary expreesion, left_input=3153, right_input=4184, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-479469","layer":3},{"info":"number node, value=1821","layer":4},{"info":"compute unary expreesion, input=1821, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-479469, 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":"number node, value=4401","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=4401, right_input=1765, 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=4401","layer":3},{"info":"number node, value=1564","layer":4},{"info":"compute unary expreesion, input=1564, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3030","layer":3},{"info":"compute binary expreesion, left_input=4401, right_input=3030, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1371","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1371, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1374","layer":1},{"info":"number node, value=4102","layer":4},{"info":"number node, value=1875","layer":4},{"info":"compute binary expreesion, left_input=4102, right_input=1875, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2227","layer":3},{"info":"number node, value=1424","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=1424, right_input=1135, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=299","layer":3},{"info":"compute binary expreesion, left_input=-2227, right_input=299, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1374, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔110001010001⪄≮⫘↔1000001011000)∀⇚≩(⫛⫱⨽≮⫘↔11100011101)⨓(≮⫘↔1000100110001⨪↰⇹≮⫘↔11011100101)⪛(≮⫘↔11000011100⇋≉))⇷(⪲⇎(≮⫘↔1000000000110⨳⩥⨓≮⫘↔11101010011)≹⇙⪍(≮⫘↔10110010000⨰≮⫘↔10001101111))=NaN","reverse_text":"NaN=((≮⫘↔110001010001⪄≮⫘↔1000001011000)∀⇚≩(⫛⫱⨽≮⫘↔11100011101)⨓(≮⫘↔1000100110001⨪↰⇹≮⫘↔11011100101)⪛(≮⫘↔11000011100⇋≉))⇷(⪲⇎(≮⫘↔1000000000110⨳⩥⨓≮⫘↔11101010011)≹⇙⪍(≮⫘↔10110010000⨰≮⫘↔10001101111))","cot":[{"info":"≮⫘↔110001010001⪄≮⫘↔1000001011000=≮⫘↔-1110101000011101101","layer":3},{"info":"⫛⫱⨽≮⫘↔11100011101=≮⫘↔0","layer":3},{"info":"≮⫘↔-1110101000011101101∀⇚≩≮⫘↔0=NaN","layer":2},{"info":"≮⫘↔1000100110001⨪↰⇹≮⫘↔11011100101=≮⫘↔1000100110001","layer":3},{"info":"≮⫘↔11000011100⇋≉=≮⫘↔101111010110","layer":3},{"info":"≮⫘↔1000100110001⪛≮⫘↔101111010110=≮⫘↔10101011011","layer":2},{"info":"NaN⨓≮⫘↔10101011011=≮⫘↔-10101011110","layer":1},{"info":"≮⫘↔1000000000110⨳⩥⨓≮⫘↔11101010011=≮⫘↔-100010110011","layer":3},{"info":"≮⫘↔10110010000⨰≮⫘↔10001101111=≮⫘↔100101011","layer":3},{"info":"≮⫘↔-100010110011≹⇙⪍≮⫘↔100101011=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"≮⫘↔-10101011110⇷NaN=NaN","layer":0}]}
{"id":998,"expression_no_base_symbol":"(($1585$⨁⊸⫻)↬($1027$⩨$2152$)⋷(⨑⩽⪐$3258$)∀⇚≩(⩦⩻⨪$6333$))↺(($1581$↛⩡⫤)⊭↱($1788$⫡⨏$3495$)↛⩡⫤)","expression":"((≮⫘↔11000110001⨁⊸⫻)↬(≮⫘↔10000000011⩨≮⫘↔100001101000)⋷(⨑⩽⪐≮⫘↔110010111010)∀⇚≩(⩦⩻⨪≮⫘↔1100010111101))↺((≮⫘↔11000101101↛⩡⫤)⊭↱(≮⫘↔11011111100⫡⨏≮⫘↔110110100111)↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1535150,"operation_count":12,"complexity_ratio":127929.16666666667,"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":1585,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1027,"base":2},"right_expr":{"type":"numeric_atoms","value":2152,"base":2}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3258,"base":2}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":6333,"base":2}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1581,"base":2}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1788,"base":2},"right_expr":{"type":"numeric_atoms","value":3495,"base":2}}}}},"used_operators":["7j4O788W3g","23Mk6UjR3U","B5M0gjZbta","glklzrTFfD","2DlMacCsIx","LRNGc0VcxI","AF7qkfDlqP","2td37pGCOC","FU0Cs4j7VP","COABgblf1C","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"≮⫘↔-100100001110000111000000010","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1585","layer":4},{"info":"compute unary expreesion, input=1585, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1585","layer":3},{"info":"number node, value=1027","layer":4},{"info":"number node, value=2152","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=2152, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"compute binary expreesion, left_input=1585, right_input=-6, 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=3258","layer":4},{"info":"compute unary expreesion, input=3258, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2985","layer":3},{"info":"number node, value=6333","layer":4},{"info":"compute unary expreesion, input=6333, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6333","layer":3},{"info":"compute binary expreesion, left_input=-2985, right_input=6333, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=1581","layer":4},{"info":"compute unary expreesion, input=1581, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-234820","layer":3},{"info":"number node, value=1788","layer":4},{"info":"number node, value=3495","layer":4},{"info":"compute binary expreesion, left_input=1788, right_input=3495, 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=16713","layer":3},{"info":"compute binary expreesion, left_input=-234820, right_input=16713, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=503071","layer":2},{"info":"compute unary expreesion, input=503071, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-75959810","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-75959810, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-75959810","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11000110001⨁⊸⫻)↬(≮⫘↔10000000011⩨≮⫘↔100001101000)⋷(⨑⩽⪐≮⫘↔110010111010)∀⇚≩(⩦⩻⨪≮⫘↔1100010111101))↺((≮⫘↔11000101101↛⩡⫤)⊭↱(≮⫘↔11011111100⫡⨏≮⫘↔110110100111)↛⩡⫤)=≮⫘↔-100100001110000111000000010","reverse_text":"≮⫘↔-100100001110000111000000010=((≮⫘↔11000110001⨁⊸⫻)↬(≮⫘↔10000000011⩨≮⫘↔100001101000)⋷(⨑⩽⪐≮⫘↔110010111010)∀⇚≩(⩦⩻⨪≮⫘↔1100010111101))↺((≮⫘↔11000101101↛⩡⫤)⊭↱(≮⫘↔11011111100⫡⨏≮⫘↔110110100111)↛⩡⫤)","cot":[{"info":"≮⫘↔11000110001⨁⊸⫻=≮⫘↔11000110001","layer":3},{"info":"≮⫘↔10000000011⩨≮⫘↔100001101000=≮⫘↔-110","layer":3},{"info":"≮⫘↔11000110001↬≮⫘↔-110=NaN","layer":2},{"info":"⨑⩽⪐≮⫘↔110010111010=≮⫘↔-101110101001","layer":3},{"info":"⩦⩻⨪≮⫘↔1100010111101=≮⫘↔1100010111101","layer":3},{"info":"≮⫘↔-101110101001∀⇚≩≮⫘↔1100010111101=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"≮⫘↔11000101101↛⩡⫤=≮⫘↔-111001010101000100","layer":3},{"info":"≮⫘↔11011111100⫡⨏≮⫘↔110110100111=≮⫘↔100000101001001","layer":3},{"info":"≮⫘↔-111001010101000100⊭↱≮⫘↔100000101001001=≮⫘↔1111010110100011111","layer":2},{"info":"≮⫘↔1111010110100011111↛⩡⫤=≮⫘↔-100100001110000111000000010","layer":1},{"info":"NaN↺≮⫘↔-100100001110000111000000010=≮⫘↔-100100001110000111000000010","layer":0}]}
{"id":999,"expression_no_base_symbol":"(↔($1290$⊭↱$2200$))⫡⨏($2340$⨐⩸⫘$2282$)≧⫂∧($4947$⩨$7852$)↪⪝","expression":"(↔(≮⫘↔10100001010⊭↱≮⫘↔100010011000))⫡⨏(≮⫘↔100100100100⨐⩸⫘≮⫘↔100011101010)≧⫂∧(≮⫘↔1001101010011⩨≮⫘↔1111010101100)↪⪝","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":726,"operation_count":7,"complexity_ratio":103.71428571428571,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1290,"base":2},"right_expr":{"type":"numeric_atoms","value":2200,"base":2}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2340,"base":2},"right_expr":{"type":"numeric_atoms","value":2282,"base":2}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4947,"base":2},"right_expr":{"type":"numeric_atoms","value":7852,"base":2}}}}},"used_operators":["l07mrZUIn9","QMFrweE19q","ruOEQAzv1W","COABgblf1C","Ph9nP6C5qx","fu6greOZ01","2DlMacCsIx"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"≮⫘↔-11100111010100011100100001110","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1290","layer":4},{"info":"number node, value=2200","layer":4},{"info":"compute binary expreesion, left_input=1290, right_input=2200, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1825","layer":3},{"info":"compute unary expreesion, input=1825, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1552","layer":2},{"info":"number node, value=2340","layer":4},{"info":"number node, value=2282","layer":4},{"info":"compute binary expreesion, left_input=2340, right_input=2282, 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=4947","layer":4},{"info":"number node, value=7852","layer":4},{"info":"compute binary expreesion, left_input=4947, right_input=7852, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-476","layer":2},{"info":"compute binary expreesion, left_input=-1552, right_input=-476, 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=-7929","layer":1},{"info":"compute unary expreesion, input=-7929, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-485112078","layer":0}],"base":2,"result_base":2,"text":"(↔(≮⫘↔10100001010⊭↱≮⫘↔100010011000))⫡⨏(≮⫘↔100100100100⨐⩸⫘≮⫘↔100011101010)≧⫂∧(≮⫘↔1001101010011⩨≮⫘↔1111010101100)↪⪝=≮⫘↔-11100111010100011100100001110","reverse_text":"≮⫘↔-11100111010100011100100001110=(↔(≮⫘↔10100001010⊭↱≮⫘↔100010011000))⫡⨏(≮⫘↔100100100100⨐⩸⫘≮⫘↔100011101010)≧⫂∧(≮⫘↔1001101010011⩨≮⫘↔1111010101100)↪⪝","cot":[{"info":"≮⫘↔10100001010⊭↱≮⫘↔100010011000=≮⫘↔11100100001","layer":3},{"info":"↔≮⫘↔11100100001=≮⫘↔-11000010000","layer":2},{"info":"≮⫘↔100100100100⨐⩸⫘≮⫘↔100011101010=NaN","layer":3},{"info":"≮⫘↔1001101010011⩨≮⫘↔1111010101100=≮⫘↔-11","layer":3},{"info":"NaN≧⫂∧≮⫘↔-11=≮⫘↔-111011100","layer":2},{"info":"≮⫘↔-11000010000⫡⨏≮⫘↔-111011100=≮⫘↔-1111011111001","layer":1},{"info":"≮⫘↔-1111011111001↪⪝=≮⫘↔-11100111010100011100100001110","layer":0}]}
{"id":1000,"expression_no_base_symbol":"(($1815$⊦⊿)⨪↰⇹(≉$3469$)⨓($2774$⊉≛↸$2036$⋷$1175$⋥≓≎$2841$))⊴(($4873$⪄$3951$+(≦∁$1360$))∀⇚≩($3357$⨓$2009$%$2299$⨟⋌⩍$4335$))","expression":"((≮⫘↔11100010111⊦⊿)⨪↰⇹(≉≮⫘↔110110001101)⨓(≮⫘↔101011010110⊉≛↸≮⫘↔11111110100⋷≮⫘↔10010010111⋥≓≎≮⫘↔101100011001))⊴((≮⫘↔1001100001001⪄≮⫘↔111101101111+(≦∁≮⫘↔10101010000))∀⇚≩(≮⫘↔110100011101⨓≮⫘↔11111011001%≮⫘↔100011111011⨟⋌⩍≮⫘↔1000011101111))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5133359,"operation_count":15,"complexity_ratio":342223.93333333335,"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":1815,"base":2}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3469,"base":2}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2774,"base":2},"right_expr":{"type":"numeric_atoms","value":2036,"base":2}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1175,"base":2},"right_expr":{"type":"numeric_atoms","value":2841,"base":2}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4873,"base":2},"right_expr":{"type":"numeric_atoms","value":3951,"base":2}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1360,"base":2}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3357,"base":2},"right_expr":{"type":"numeric_atoms","value":2009,"base":2}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2299,"base":2},"right_expr":{"type":"numeric_atoms","value":4335,"base":2}}}}},"used_operators":["Nsiff2A1zJ","3ViojmjbAp","tmPS8pqC7x","14qkJME0vr","e1ybzncUwg","23Mk6UjR3U","DZ8iAZOCBD","Qy55tPpLXF","LRNGc0VcxI","W4YGzv6Whe","SUmda5xLS4","9ICcGScMcE","k8jYdgA6NY","rGHVDoGpnC"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":2,"flag":true},"cot_info":[{"info":"number node, value=1815","layer":4},{"info":"compute unary expreesion, input=1815, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5524","layer":3},{"info":"number node, value=3469","layer":4},{"info":"compute unary expreesion, input=3469, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4000","layer":3},{"info":"compute binary expreesion, left_input=-5524, right_input=4000, 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=-5524","layer":2},{"info":"number node, value=2774","layer":4},{"info":"number node, value=2036","layer":4},{"info":"compute binary expreesion, left_input=2774, right_input=2036, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5548","layer":3},{"info":"number node, value=1175","layer":4},{"info":"number node, value=2841","layer":4},{"info":"compute binary expreesion, left_input=1175, right_input=2841, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4540","layer":3},{"info":"compute binary expreesion, left_input=5548, right_input=4540, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3532","layer":2},{"info":"compute binary expreesion, left_input=-5524, right_input=3532, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3535","layer":1},{"info":"number node, value=4873","layer":4},{"info":"number node, value=3951","layer":4},{"info":"compute binary expreesion, left_input=4873, right_input=3951, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-733097","layer":3},{"info":"number node, value=1360","layer":4},{"info":"compute unary expreesion, input=1360, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1360","layer":3},{"info":"compute binary expreesion, left_input=-733097, right_input=1360, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-731737","layer":2},{"info":"number node, value=3357","layer":4},{"info":"number node, value=2009","layer":4},{"info":"compute binary expreesion, left_input=3357, right_input=2009, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2012","layer":3},{"info":"number node, value=2299","layer":4},{"info":"number node, value=4335","layer":4},{"info":"compute binary expreesion, left_input=2299, right_input=4335, 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=-2012, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-731737, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3535, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":2,"result_base":2,"text":"((≮⫘↔11100010111⊦⊿)⨪↰⇹(≉≮⫘↔110110001101)⨓(≮⫘↔101011010110⊉≛↸≮⫘↔11111110100⋷≮⫘↔10010010111⋥≓≎≮⫘↔101100011001))⊴((≮⫘↔1001100001001⪄≮⫘↔111101101111+(≦∁≮⫘↔10101010000))∀⇚≩(≮⫘↔110100011101⨓≮⫘↔11111011001%≮⫘↔100011111011⨟⋌⩍≮⫘↔1000011101111))=NaN","reverse_text":"NaN=((≮⫘↔11100010111⊦⊿)⨪↰⇹(≉≮⫘↔110110001101)⨓(≮⫘↔101011010110⊉≛↸≮⫘↔11111110100⋷≮⫘↔10010010111⋥≓≎≮⫘↔101100011001))⊴((≮⫘↔1001100001001⪄≮⫘↔111101101111+(≦∁≮⫘↔10101010000))∀⇚≩(≮⫘↔110100011101⨓≮⫘↔11111011001%≮⫘↔100011111011⨟⋌⩍≮⫘↔1000011101111))","cot":[{"info":"≮⫘↔11100010111⊦⊿=≮⫘↔-1010110010100","layer":3},{"info":"≉≮⫘↔110110001101=≮⫘↔111110100000","layer":3},{"info":"≮⫘↔-1010110010100⨪↰⇹≮⫘↔111110100000=≮⫘↔-1010110010100","layer":2},{"info":"≮⫘↔101011010110⊉≛↸≮⫘↔11111110100=≮⫘↔1010110101100","layer":3},{"info":"≮⫘↔10010010111⋥≓≎≮⫘↔101100011001=≮⫘↔1000110111100","layer":3},{"info":"≮⫘↔1010110101100⋷≮⫘↔1000110111100=≮⫘↔110111001100","layer":2},{"info":"≮⫘↔-1010110010100⨓≮⫘↔110111001100=≮⫘↔-110111001111","layer":1},{"info":"≮⫘↔1001100001001⪄≮⫘↔111101101111=≮⫘↔-10110010111110101001","layer":3},{"info":"≦∁≮⫘↔10101010000=≮⫘↔10101010000","layer":3},{"info":"≮⫘↔-10110010111110101001+≮⫘↔10101010000=≮⫘↔-10110010101001011001","layer":2},{"info":"≮⫘↔110100011101⨓≮⫘↔11111011001=≮⫘↔-11111011100","layer":3},{"info":"≮⫘↔100011111011⨟⋌⩍≮⫘↔1000011101111=NaN","layer":3},{"info":"≮⫘↔-11111011100%NaN=NaN","layer":2},{"info":"≮⫘↔-10110010101001011001∀⇚≩NaN=NaN","layer":1},{"info":"≮⫘↔-110111001111⊴NaN=NaN","layer":0}]}